%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEG010^1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 07:49:28 AM UTC 2026
% Result : Theorem 98.62s 14.30s
% Output : Refutation 99.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEG010^1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n003.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 18:35:44 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.03/1.03 % (2892178)Will run a generic schedule for satisfiability detection.
% 4.03/1.03 % (2892192)% WARNING: option uhcvi not known.
% 4.03/1.03 % (2892198)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1409725355:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.03/1.03 % (2892195)dis+10_1_sil=32000:sp=arity:random_seed=90804636:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.03/1.03 % (2892194)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2330267411:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.03/1.03 % (2892192)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2678548936:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.03/1.03 % (2892196)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=322032005:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.03/1.03 % (2892192)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.03/1.03 % (2892197)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2163765586:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.03/1.03 % (2892192)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 4.03/1.03 % (2892196)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.03/1.03 % (2892191)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2012121112_2999 on theBenchmark for (2999ds/0Mi)
% 4.03/1.03 % Exception at run slice level
% 4.03/1.03 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.03/1.03 % (2892195)Instruction limit reached!
% 4.03/1.03 % (2892195)------------------------------
% 4.03/1.03 % (2892195)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.03/1.03 % (2892195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.03/1.03 % (2892195)CaDiCaL version: 2.1.3
% 4.03/1.03 % (2892195)Termination reason: Instruction limit
% 4.03/1.03 % (2892195)Termination phase: Saturation
% 4.03/1.03 % (2892195)Time elapsed: 0.053 s
% 4.03/1.03 % (2892195)Peak memory usage: 12 MB
% 4.03/1.03 % (2892195)Instructions burned: 104 (million)
% 4.03/1.03 % (2892208)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2704175291:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 4.03/1.03 % (2892198)Instruction limit reached!
% 4.03/1.03 % (2892198)------------------------------
% 4.03/1.03 % (2892198)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.03/1.03 % (2892198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.03/1.03 % (2892198)CaDiCaL version: 2.1.3
% 4.03/1.03 % (2892198)Termination reason: Instruction limit
% 4.03/1.03 % (2892198)Termination phase: Saturation
% 4.03/1.03 % (2892198)Time elapsed: 0.060 s
% 4.03/1.03 % (2892198)Peak memory usage: 12 MB
% 4.03/1.03 % (2892198)Instructions burned: 161 (million)
% 4.03/1.03 % Exception at run slice level
% 4.03/1.03 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.03/1.03 % (2892212)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1764002350:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 4.03/1.03 % (2892212)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.03/1.03 % (2892212)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 4.03/1.03 % (2892196)Instruction limit reached!
% 4.03/1.03 % (2892196)------------------------------
% 4.03/1.03 % (2892196)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.03/1.03 % (2892196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.03/1.03 % (2892196)CaDiCaL version: 2.1.3
% 4.03/1.03 % (2892196)Termination reason: Instruction limit
% 4.03/1.03 % (2892196)Termination phase: Saturation
% 4.03/1.03 % (2892196)Time elapsed: 0.071 s
% 4.03/1.03 % (2892196)Peak memory usage: 13 MB
% 4.03/1.03 % (2892196)Instructions burned: 116 (million)
% 4.03/1.03 % (2892211)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1847836021:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 4.03/1.03 % (2892213)ott-21_1_sil=16000:fs=off:random_seed=742926100:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 4.03/1.03 % (2892215)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=633076492:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 20.81/3.29 % (2892197)Instruction limit reached!
% 20.81/3.29 % (2892197)------------------------------
% 20.81/3.29 % (2892197)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.81/3.29 % (2892197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.81/3.29 % (2892197)CaDiCaL version: 2.1.3
% 20.81/3.29 % (2892197)Termination reason: Instruction limit
% 20.81/3.29 % (2892197)Termination phase: Saturation
% 20.81/3.29 % (2892197)Time elapsed: 0.093 s
% 20.81/3.29 % (2892197)Peak memory usage: 13 MB
% 20.81/3.29 % (2892197)Instructions burned: 131 (million)
% 20.81/3.29 % (2892219)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3274431329:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 20.81/3.29 % Exception at run slice level
% 20.81/3.29 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 20.81/3.29 % (2892211)Instruction limit reached!
% 20.81/3.29 % (2892211)------------------------------
% 20.81/3.29 % (2892211)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.81/3.29 % (2892211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.81/3.29 % (2892211)CaDiCaL version: 2.1.3
% 20.81/3.29 % (2892211)Termination reason: Instruction limit
% 20.81/3.29 % (2892211)Termination phase: Saturation
% 20.81/3.29 % (2892211)Time elapsed: 0.086 s
% 20.81/3.29 % (2892211)Peak memory usage: 13 MB
% 20.81/3.29 % (2892211)Instructions burned: 131 (million)
% 20.81/3.29 % (2892213)Instruction limit reached!
% 20.81/3.29 % (2892213)------------------------------
% 20.81/3.29 % (2892213)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.81/3.29 % (2892213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.81/3.29 % (2892213)CaDiCaL version: 2.1.3
% 20.81/3.29 % (2892213)Termination reason: Instruction limit
% 20.81/3.29 % (2892213)Termination phase: Saturation
% 20.81/3.29 % (2892213)Time elapsed: 0.084 s
% 20.81/3.29 % (2892213)Peak memory usage: 12 MB
% 20.81/3.29 % (2892213)Instructions burned: 181 (million)
% 20.81/3.29 % (2892221)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2651490130:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 20.81/3.29 % (2892223)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2803107614:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2998 on theBenchmark for (2998ds/692Mi)
% 20.81/3.29 % (2892222)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1215438519:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 20.81/3.29 % (2892223)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 20.81/3.29 % Exception at run slice level
% 20.81/3.29 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 20.81/3.29 % (2892227)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=958838642:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 20.81/3.29 % (2892227)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 20.81/3.29 % (2892212)Instruction limit reached!
% 20.81/3.29 % (2892212)------------------------------
% 20.81/3.29 % (2892212)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.81/3.29 % (2892212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.81/3.29 % (2892212)CaDiCaL version: 2.1.3
% 20.81/3.29 % (2892212)Termination reason: Instruction limit
% 20.81/3.29 % (2892212)Termination phase: Saturation
% 20.81/3.29 % (2892212)Time elapsed: 0.172 s
% 20.81/3.29 % (2892212)Peak memory usage: 15 MB
% 20.81/3.29 % (2892212)Instructions burned: 688 (million)
% 20.81/3.29 % (2892229)fmb+10_1_sil=64000:random_seed=849816668:i=22061:nm=2:gsp=on_2997 on theBenchmark for (2997ds/22061Mi)
% 20.81/3.29 % (2892229)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 20.81/3.29 % Exception at run slice level
% 20.81/3.29 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 20.81/3.29 % (2892231)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=859627627:i=9515:nm=5_2997 on theBenchmark for (2997ds/9515Mi)
% 20.81/3.29 % Exception at run slice level
% 20.81/3.29 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 53.34/7.87 % (2892233)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1516403625:fmbsr=1.7:i=920_2996 on theBenchmark for (2996ds/920Mi)
% 53.34/7.87 % Exception at run slice level
% 53.34/7.87 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 53.34/7.87 % (2892235)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3689646062:i=5131_2996 on theBenchmark for (2996ds/5131Mi)
% 53.34/7.87 % (2892235)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 53.34/7.87 % (2892215)Instruction limit reached!
% 53.34/7.87 % (2892215)------------------------------
% 53.34/7.87 % (2892215)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 53.34/7.87 % (2892215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.34/7.87 % (2892215)CaDiCaL version: 2.1.3
% 53.34/7.87 % (2892215)Termination reason: Instruction limit
% 53.34/7.87 % (2892215)Termination phase: Saturation
% 53.34/7.87 % (2892215)Time elapsed: 0.362 s
% 53.34/7.87 % (2892215)Peak memory usage: 13 MB
% 53.34/7.87 % (2892215)Instructions burned: 478 (million)
% 53.34/7.87 % (2892237)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2773162063:i=1472:ins=7:fdi=8:gsp=on_2995 on theBenchmark for (2995ds/1472Mi)
% 53.34/7.87 % (2892237)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 53.34/7.87 % (2892237)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 53.34/7.87 % (2892223)Instruction limit reached!
% 53.34/7.87 % (2892223)------------------------------
% 53.34/7.87 % (2892223)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 53.34/7.87 % (2892223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.34/7.87 % (2892223)CaDiCaL version: 2.1.3
% 53.34/7.87 % (2892223)Termination reason: Instruction limit
% 53.34/7.87 % (2892223)Termination phase: Saturation
% 53.34/7.87 % (2892223)Time elapsed: 0.318 s
% 53.34/7.87 % (2892223)Peak memory usage: 14 MB
% 53.34/7.87 % (2892223)Instructions burned: 693 (million)
% 53.34/7.87 % (2892239)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2121391181:i=6324_2994 on theBenchmark for (2994ds/6324Mi)
% 53.34/7.87 % Exception at run slice level
% 53.34/7.87 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 53.34/7.87 % (2892241)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1339905713:fmbsr=2.30978:i=2174_2994 on theBenchmark for (2994ds/2174Mi)
% 53.34/7.87 % Exception at run slice level
% 53.34/7.87 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 53.34/7.87 % (2892243)ott-2_1_sil=16000:newcnf=on:random_seed=617114633:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2994 on theBenchmark for (2994ds/869Mi)
% 53.34/7.87 % (2892243)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 53.34/7.87 % (2892221)Instruction limit reached!
% 53.34/7.87 % (2892221)------------------------------
% 53.34/7.87 % (2892221)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 53.34/7.87 % (2892221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.34/7.87 % (2892221)CaDiCaL version: 2.1.3
% 53.34/7.87 % (2892221)Termination reason: Instruction limit
% 53.34/7.87 % (2892221)Termination phase: Saturation
% 53.34/7.87 % (2892221)Time elapsed: 0.540 s
% 53.34/7.87 % (2892221)Peak memory usage: 16 MB
% 53.34/7.87 % (2892221)Instructions burned: 1180 (million)
% 53.34/7.87 % (2892227)Instruction limit reached!
% 53.34/7.87 % (2892227)------------------------------
% 53.34/7.87 % (2892227)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 53.34/7.87 % (2892227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.34/7.87 % (2892227)CaDiCaL version: 2.1.3
% 53.34/7.87 % (2892227)Termination reason: Instruction limit
% 53.34/7.87 % (2892227)Termination phase: Saturation
% 53.34/7.87 % (2892227)Time elapsed: 0.498 s
% 53.34/7.87 % (2892227)Peak memory usage: 16 MB
% 53.34/7.87 % (2892227)Instructions burned: 880 (million)
% 53.34/7.87 % (2892245)ott+10_1_sil=32000:tgt=ground:random_seed=2213772805:i=5114:av=off_2992 on theBenchmark for (2992ds/5114Mi)
% 53.34/7.87 % (2892246)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2236622331:i=54282_2992 on theBenchmark for (2992ds/54282Mi)
% 53.34/7.87 % Exception at run slice level
% 53.34/7.87 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 98.62/14.29 % (2892249)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=125419131:i=3512:aac=none_2991 on theBenchmark for (2991ds/3512Mi)
% 98.62/14.29 % (2892249)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 98.62/14.29 % (2892243)Instruction limit reached!
% 98.62/14.29 % (2892243)------------------------------
% 98.62/14.29 % (2892243)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 98.62/14.29 % (2892243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 98.62/14.29 % (2892243)CaDiCaL version: 2.1.3
% 98.62/14.29 % (2892243)Termination reason: Instruction limit
% 98.62/14.29 % (2892243)Termination phase: Saturation
% 98.62/14.29 % (2892243)Time elapsed: 0.354 s
% 98.62/14.29 % (2892243)Peak memory usage: 14 MB
% 98.62/14.29 % (2892243)Instructions burned: 870 (million)
% 98.62/14.29 % (2892253)dis+21_1_sil=32000:sas=cadical:random_seed=1035648807:i=3773:amm=off_2990 on theBenchmark for (2990ds/3773Mi)
% 98.62/14.29 % (2892237)Instruction limit reached!
% 98.62/14.29 % (2892237)------------------------------
% 98.62/14.29 % (2892237)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 98.62/14.29 % (2892237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 98.62/14.29 % (2892237)CaDiCaL version: 2.1.3
% 98.62/14.29 % (2892237)Termination reason: Instruction limit
% 98.62/14.29 % (2892237)Termination phase: Saturation
% 98.62/14.29 % (2892237)Time elapsed: 0.886 s
% 98.62/14.29 % (2892237)Peak memory usage: 20 MB
% 98.62/14.29 % (2892237)Instructions burned: 1473 (million)
% 98.62/14.29 % (2892255)ott+11_1_sil=16000:gs=on:random_seed=1011507253:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2986 on theBenchmark for (2986ds/2251Mi)
% 98.62/14.29 % (2892255)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 98.62/14.29 % (2892235)Instruction limit reached!
% 98.62/14.29 % (2892235)------------------------------
% 98.62/14.29 % (2892235)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 98.62/14.29 % (2892235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 98.62/14.29 % (2892235)CaDiCaL version: 2.1.3
% 98.62/14.29 % (2892235)Termination reason: Instruction limit
% 98.62/14.29 % (2892235)Termination phase: Saturation
% 98.62/14.29 % (2892235)Time elapsed: 2.190 s
% 98.62/14.29 % (2892235)Peak memory usage: 21 MB
% 98.62/14.29 % (2892235)Instructions burned: 5133 (million)
% 98.62/14.29 % (2892257)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=4276031360:fmbsr=1.6:i=67534_2974 on theBenchmark for (2974ds/67534Mi)
% 98.62/14.29 % Exception at run slice level
% 98.62/14.29 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 98.62/14.29 % (2892259)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=4087263209:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2974 on theBenchmark for (2974ds/4591Mi)
% 98.62/14.29 % (2892253)Instruction limit reached!
% 98.62/14.29 % (2892253)------------------------------
% 98.62/14.29 % (2892253)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 98.62/14.29 % (2892253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 98.62/14.29 % (2892253)CaDiCaL version: 2.1.3
% 98.62/14.29 % (2892253)Termination reason: Instruction limit
% 98.62/14.29 % (2892253)Termination phase: Saturation
% 98.62/14.29 % (2892253)Time elapsed: 1.658 s
% 98.62/14.29 % (2892253)Peak memory usage: 19 MB
% 98.62/14.29 % (2892253)Instructions burned: 3774 (million)
% 98.62/14.29 % (2892261)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=1129259244:i=29340_2973 on theBenchmark for (2973ds/29340Mi)
% 98.62/14.29 % (2892255)Instruction limit reached!
% 98.62/14.29 % (2892255)------------------------------
% 98.62/14.29 % (2892255)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 98.62/14.29 % (2892255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 98.62/14.29 % (2892255)CaDiCaL version: 2.1.3
% 98.62/14.29 % (2892255)Termination reason: Instruction limit
% 98.62/14.29 % (2892255)Termination phase: Saturation
% 98.62/14.29 % (2892255)Time elapsed: 1.589 s
% 98.62/14.29 % (2892255)Peak memory usage: 19 MB
% 98.62/14.29 % (2892255)Instructions burned: 2251 (million)
% 98.62/14.29 % (2892275)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=4152119700:i=5211_2969 on theBenchmark for (2969ds/5211Mi)
% 98.62/14.29 % (2892245)Instruction limit reached!
% 98.62/14.29 % (2892245)------------------------------
% 98.62/14.29 % (2892245)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 98.62/14.29 % (2892245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 98.62/14.29 % (2892245)CaDiCaL version: 2.1.3
% 98.62/14.29 % (2892245)Termination reason: Instruction limit
% 98.62/14.29 % (2892245)Termination phase: Saturation
% 98.62/14.29 % (2892245)Time elapsed: 2.306 s
% 98.62/14.29 % (2892245)Peak memory usage: 25 MB
% 98.62/14.29 % (2892245)Instructions burned: 5114 (million)
% 98.62/14.29 % (2892278)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=2749517122:i=5497:nm=2_2969 on theBenchmark for (2969ds/5497Mi)
% 98.62/14.29 % Exception at run slice level
% 98.62/14.29 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 98.62/14.29 % (2892280)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=2301519340:fmbsr=2:i=46332_2968 on theBenchmark for (2968ds/46332Mi)
% 98.62/14.29 % Exception at run slice level
% 98.62/14.29 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 98.62/14.29 % (2892282)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=2597649754:i=14071_2968 on theBenchmark for (2968ds/14071Mi)
% 98.62/14.29 % Exception at run slice level
% 98.62/14.29 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 98.62/14.29 % (2892284)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2088477924:i=22565:add=on:rawr=on_2968 on theBenchmark for (2968ds/22565Mi)
% 98.62/14.29 % (2892249)Instruction limit reached!
% 98.62/14.29 % (2892249)------------------------------
% 98.62/14.29 % (2892249)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 98.62/14.29 % (2892249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 98.62/14.29 % (2892249)CaDiCaL version: 2.1.3
% 98.62/14.29 % (2892249)Termination reason: Instruction limit
% 98.62/14.29 % (2892249)Termination phase: Saturation
% 98.62/14.29 % (2892249)Time elapsed: 2.363 s
% 98.62/14.29 % (2892249)Peak memory usage: 19 MB
% 98.62/14.29 % (2892249)Instructions burned: 3513 (million)
% 98.62/14.29 % (2892286)ott+4_1_sil=16000:sp=arity:gs=on:random_seed=717588717:i=8173:av=off_2967 on theBenchmark for (2967ds/8173Mi)
% 98.62/14.29 % (2892259)Instruction limit reached!
% 98.62/14.29 % (2892259)------------------------------
% 98.62/14.29 % (2892259)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 98.62/14.29 % (2892259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 98.62/14.29 % (2892259)CaDiCaL version: 2.1.3
% 98.62/14.29 % (2892259)Termination reason: Instruction limit
% 98.62/14.29 % (2892259)Termination phase: Saturation
% 98.62/14.29 % (2892259)Time elapsed: 2.971 s
% 98.62/14.29 % (2892259)Peak memory usage: 20 MB
% 98.62/14.29 % (2892259)Instructions burned: 4592 (million)
% 98.62/14.29 % (2892294)dis+10_16:1_sil=16000:random_seed=476055972:i=9155:fsr=off_2944 on theBenchmark for (2944ds/9155Mi)
% 98.62/14.29 % (2892275)Instruction limit reached!
% 98.62/14.29 % (2892275)------------------------------
% 98.62/14.29 % (2892275)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 98.62/14.29 % (2892275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 98.62/14.29 % (2892275)CaDiCaL version: 2.1.3
% 98.62/14.29 % (2892275)Termination reason: Instruction limit
% 98.62/14.29 % (2892275)Termination phase: Saturation
% 98.62/14.29 % (2892275)Time elapsed: 3.072 s
% 98.62/14.29 % (2892275)Peak memory usage: 24 MB
% 98.62/14.29 % (2892275)Instructions burned: 5216 (million)
% 98.62/14.29 % (2892296)ott-3_8_sil=64000:random_seed=3675209134:i=20139:bs=on_2938 on theBenchmark for (2938ds/20139Mi)
% 98.62/14.29 % (2892286)Instruction limit reached!
% 98.62/14.29 % (2892286)------------------------------
% 98.62/14.29 % (2892286)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 98.62/14.29 % (2892286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 98.62/14.29 % (2892286)CaDiCaL version: 2.1.3
% 98.62/14.29 % (2892286)Termination reason: Instruction limit
% 98.62/14.29 % (2892286)Termination phase: Saturation
% 98.62/14.29 % (2892286)Time elapsed: 4.376 s
% 98.62/14.29 % (2892286)Peak memory usage: 34 MB
% 98.62/14.29 % (2892286)Instructions burned: 8175 (million)
% 98.62/14.29 % (2892298)fmb+10_1_sil=64000:tgt=ground:sas=cadical:bce=on:fmbss=9:random_seed=3162951436:fmbsr=2:i=32576_2923 on theBenchmark for (2923ds/32576Mi)
% 98.62/14.29 % Exception at run slice level
% 98.62/14.29 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 98.62/14.29 % (2892300)ott+10_8:1_sil=16000:sp=arity:gs=on:random_seed=1822137143:i=11404_2923 on theBenchmark for (2923ds/11404Mi)
% 98.62/14.29 % (2892294)Instruction limit reached!
% 98.62/14.29 % (2892294)------------------------------
% 98.62/14.29 % (2892294)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 98.62/14.29 % (2892294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 98.62/14.29 % (2892294)CaDiCaL version: 2.1.3
% 98.62/14.29 % (2892294)Termination reason: Instruction limit
% 98.62/14.29 % (2892294)Termination phase: Saturation
% 98.62/14.29 % (2892294)Time elapsed: 3.846 s
% 98.62/14.29 % (2892294)Peak memory usage: 25 MB
% 98.62/14.29 % (2892294)Instructions burned: 9156 (million)
% 98.62/14.29 % (2892302)ott-11_1_sil=16000:alpa=false:sac=on:random_seed=3585628028:i=14134_2905 on theBenchmark for (2905ds/14134Mi)
% 98.62/14.29 % (2892302)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 98.62/14.29 % (2892296)Instruction limit reached!
% 98.62/14.29 % (2892296)------------------------------
% 98.62/14.29 % (2892296)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 98.62/14.29 % (2892296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 98.62/14.29 % (2892296)CaDiCaL version: 2.1.3
% 98.62/14.29 % (2892296)Termination reason: Instruction limit
% 98.62/14.29 % (2892296)Termination phase: Saturation
% 98.62/14.29 % (2892296)Time elapsed: 4.435 s
% 98.62/14.29 % (2892296)Peak memory usage: 47 MB
% 98.62/14.29 % (2892296)Instructions burned: 20140 (million)
% 98.62/14.29 % (2892304)dis+33_16_sil=32000:sac=on:random_seed=1100428467:i=15851:nm=0_2894 on theBenchmark for (2894ds/15851Mi)
% 98.62/14.29 % (2892300)Instruction limit reached!
% 98.62/14.29 % (2892300)------------------------------
% 98.62/14.29 % (2892300)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 98.62/14.29 % (2892300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 98.62/14.29 % (2892300)CaDiCaL version: 2.1.3
% 98.62/14.29 % (2892300)Termination reason: Instruction limit
% 98.62/14.30 % (2892300)Termination phase: Saturation
% 98.62/14.30 % (2892300)Time elapsed: 5.140 s
% 98.62/14.30 % (2892300)Peak memory usage: 41 MB
% 98.62/14.30 % (2892300)Instructions burned: 11406 (million)
% 98.62/14.30 % (2892307)dis+4_1024_sil=32000:avsql=on:sp=occurrence:gs=on:avsqc=1:random_seed=54466306:avsq=on:i=17627:add=on:amm=off_2871 on theBenchmark for (2871ds/17627Mi)
% 98.62/14.30 % (2892284)Instruction limit reached!
% 98.62/14.30 % (2892284)------------------------------
% 98.62/14.30 % (2892284)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 98.62/14.30 % (2892284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 98.62/14.30 % (2892284)CaDiCaL version: 2.1.3
% 98.62/14.30 % (2892284)Termination reason: Instruction limit
% 98.62/14.30 % (2892284)Termination phase: Saturation
% 98.62/14.30 % (2892284)Time elapsed: 9.919 s
% 98.62/14.30 % (2892284)Peak memory usage: 42 MB
% 98.62/14.30 % (2892284)Instructions burned: 22567 (million)
% 98.62/14.30 % (2892309)ott+10_64_anc=all:sil=128000:sas=cadical:bsr=unit_only:nwc=1:cn=on:random_seed=3440038126:s2a=on:i=53295_2869 on theBenchmark for (2869ds/53295Mi)
% 98.62/14.30 % (2892309) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2892178-2892309"...
% 98.62/14.30 % (2892309)...printing done.
% 98.62/14.30 % (2892309)Refutation found. Thanks to Tanya!
% 98.62/14.30 % SZS status Theorem for theBenchmark
% 98.62/14.30 % SZS output start Proof for theBenchmark
% 98.62/14.30 thf(type_def_5, type, mu: $tType).
% 98.62/14.30 thf(type_def_6, type, sTfun: ($tType * $tType) > $tType).
% 98.62/14.30 thf(type_def_7, type, reg: $tType).
% 98.62/14.30 thf(func_def_0, type, meq_ind: (mu > mu > $i > $o)).
% 98.62/14.30 thf(func_def_1, type, meq_prop: (($i > $o) > ($i > $o) > $i > $o)).
% 98.62/14.30 thf(func_def_3, type, mnot: (($i > $o) > $i > $o)).
% 98.62/14.30 thf(func_def_4, type, mor: (($i > $o) > ($i > $o) > $i > $o)).
% 98.62/14.30 thf(func_def_5, type, mand: (($i > $o) > ($i > $o) > $i > $o)).
% 98.62/14.30 thf(func_def_6, type, mimplies: (($i > $o) > ($i > $o) > $i > $o)).
% 98.62/14.30 thf(func_def_7, type, mimplied: (($i > $o) > ($i > $o) > $i > $o)).
% 98.62/14.30 thf(func_def_8, type, mequiv: (($i > $o) > ($i > $o) > $i > $o)).
% 98.62/14.30 thf(func_def_9, type, mxor: (($i > $o) > ($i > $o) > $i > $o)).
% 98.62/14.30 thf(func_def_10, type, mforall_ind: ((mu > $i > $o) > $i > $o)).
% 98.62/14.30 thf(func_def_11, type, mforall_prop: ((($i > $o) > $i > $o) > $i > $o)).
% 98.62/14.30 thf(func_def_12, type, mexists_ind: ((mu > $i > $o) > $i > $o)).
% 98.62/14.30 thf(func_def_13, type, mexists_prop: ((($i > $o) > $i > $o) > $i > $o)).
% 98.62/14.30 thf(func_def_14, type, mtrue: ($i > $o)).
% 98.62/14.30 thf(func_def_15, type, mfalse: ($i > $o)).
% 98.62/14.30 thf(func_def_16, type, mbox: (($i > $i > $o) > ($i > $o) > $i > $o)).
% 98.62/14.30 thf(func_def_17, type, mdia: (($i > $i > $o) > ($i > $o) > $i > $o)).
% 98.62/14.30 thf(func_def_18, type, mreflexive: (($i > $i > $o) > $o)).
% 98.62/14.30 thf(func_def_19, type, msymmetric: (($i > $i > $o) > $o)).
% 98.62/14.30 thf(func_def_20, type, mserial: (($i > $i > $o) > $o)).
% 98.62/14.30 thf(func_def_21, type, mtransitive: (($i > $i > $o) > $o)).
% 98.62/14.30 thf(func_def_22, type, meuclidean: (($i > $i > $o) > $o)).
% 98.62/14.30 thf(func_def_23, type, mpartially_functional: (($i > $i > $o) > $o)).
% 98.62/14.30 thf(func_def_24, type, mfunctional: (($i > $i > $o) > $o)).
% 98.62/14.30 thf(func_def_25, type, mweakly_dense: (($i > $i > $o) > $o)).
% 98.62/14.30 thf(func_def_26, type, mweakly_connected: (($i > $i > $o) > $o)).
% 98.62/14.30 thf(func_def_27, type, mweakly_directed: (($i > $i > $o) > $o)).
% 98.62/14.30 thf(func_def_28, type, mvalid: (($i > $o) > $o)).
% 98.62/14.30 thf(func_def_29, type, minvalid: (($i > $o) > $o)).
% 98.62/14.30 thf(func_def_30, type, msatisfiable: (($i > $o) > $o)).
% 98.62/14.30 thf(func_def_31, type, mcountersatisfiable: (($i > $o) > $o)).
% 98.62/14.30 thf(func_def_32, type, c: (reg > reg > $o)).
% 98.62/14.30 thf(func_def_33, type, dc: (reg > reg > $o)).
% 98.62/14.30 thf(func_def_34, type, p: (reg > reg > $o)).
% 98.62/14.30 thf(func_def_35, type, eq: (reg > reg > $o)).
% 98.62/14.30 thf(func_def_36, type, o: (reg > reg > $o)).
% 98.62/14.30 thf(func_def_37, type, po: (reg > reg > $o)).
% 98.62/14.30 thf(func_def_38, type, ec: (reg > reg > $o)).
% 98.62/14.30 thf(func_def_39, type, pp: (reg > reg > $o)).
% 98.62/14.30 thf(func_def_40, type, tpp: (reg > reg > $o)).
% 98.62/14.30 thf(func_def_41, type, ntpp: (reg > reg > $o)).
% 98.62/14.30 thf(func_def_42, type, catalunya: reg).
% 98.62/14.30 thf(func_def_43, type, france: reg).
% 98.62/14.30 thf(func_def_44, type, spain: reg).
% 98.62/14.30 thf(func_def_45, type, paris: reg).
% 98.62/14.30 thf(func_def_46, type, a: ($i > $i > $o)).
% 98.62/14.30 thf(func_def_47, type, fool: ($i > $i > $o)).
% 98.62/14.30 thf(func_def_48, type, db2: !>[X0: $tType]:(X0)).
% 98.62/14.30 thf(func_def_49, type, db1: !>[X0: $tType]:(X0)).
% 98.62/14.30 thf(func_def_50, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 98.62/14.30 thf(func_def_51, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 98.62/14.30 thf(func_def_52, type, db0: !>[X0: $tType]:(X0)).
% 98.62/14.30 thf(func_def_53, type, vNOT: ($o > $o)).
% 98.62/14.30 thf(func_def_54, type, vOR: ($o > $o > $o)).
% 98.62/14.30 thf(func_def_55, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 98.62/14.30 thf(func_def_58, type, db3: !>[X0: $tType]:(X0)).
% 98.62/14.30 thf(func_def_59, type, vIMP: ($o > $o > $o)).
% 98.62/14.30 thf(func_def_60, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 98.62/14.30 thf(func_def_61, type, vAND: ($o > $o > $o)).
% 98.62/14.30 thf(func_def_62, type, db4: !>[X0: $tType]:(X0)).
% 98.62/14.30 thf(func_def_65, type, sK2: reg).
% 98.62/14.30 thf(func_def_66, type, sK3: reg).
% 98.62/14.30 thf(func_def_67, type, sK4: (reg > reg)).
% 98.62/14.30 thf(func_def_68, type, sK5: (reg > reg)).
% 98.62/14.30 thf(func_def_69, type, sK6: (reg > reg)).
% 98.62/14.30 thf(func_def_70, type, sK7: (reg > reg)).
% 98.62/14.30 thf(func_def_71, type, sK8: reg).
% 98.62/14.30 thf(func_def_72, type, sK9: reg).
% 98.62/14.30 thf(func_def_73, type, sK10: (reg > reg)).
% 98.62/14.30 thf(func_def_74, type, sK11: (reg > reg)).
% 98.62/14.30 thf(func_def_75, type, sK12: (reg > reg)).
% 98.62/14.30 thf(func_def_76, type, sK13: (reg > reg)).
% 98.62/14.30 thf(func_def_77, type, sK14: ($i > ($i > $o) > $i)).
% 98.62/14.30 thf(func_def_78, type, sK15: ($i > ($i > $o) > $i)).
% 98.62/14.30 thf(func_def_79, type, sK16: ($i > ($i > $o) > $i)).
% 98.62/14.30 thf(func_def_81, type, sK18: (($i > $o) > ($i > $i) > $i)).
% 98.62/14.30 thf(f3,axiom,(
% 98.62/14.30 (mnot = (^[X0 : ($i > $o), X1 : $i] : (~(X0 @ X1))))),
% 98.62/14.30 file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',mnot)).
% 98.62/14.30 thf(f4,axiom,(
% 98.62/14.30 (mor = (^[X0 : ($i > $o), X1 : ($i > $o), X2 : $i] : ((X1 @ X2) | (X0 @ X2))))),
% 98.62/14.30 file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',mor)).
% 98.62/14.30 thf(f6,axiom,(
% 98.62/14.30 (mimplies = (^[X0 : ($i > $o), X1 : ($i > $o)] : ((mor @ (mnot @ X0) @ X1))))),
% 98.62/14.30 file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',mimplies)).
% 98.62/14.30 thf(f11,axiom,(
% 98.62/14.30 (mforall_prop = (^[X0 : (($i > $o) > $i > $o), X1 : $i] : (! [X2 : ($i > $o)] : (X0 @ X2 @ X1))))),
% 98.62/14.30 file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',mforall_prop)).
% 98.62/14.30 thf(f16,axiom,(
% 98.62/14.30 (mbox = (^[X0 : ($i > $i > $o), X1 : ($i > $o), X2 : $i] : (! [X3 : $i] : ((X1 @ X3) | ~(X0 @ X2 @ X3)))))),
% 98.62/14.30 file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',mbox)).
% 98.62/14.30 thf(f28,axiom,(
% 98.62/14.30 (mvalid = (^[X0 : ($i > $o)] : (! [X1 : $i] : (X0 @ X1))))),
% 98.62/14.30 file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',mvalid)).
% 98.62/14.30 thf(f33,axiom,(
% 98.62/14.30 ! [X0 : reg,X1 : reg] : ((c @ X0 @ X1) => (c @ X1 @ X0))),
% 98.62/14.30 file('/export/starexec/sandbox/benchmark/Axioms/LCL014^0.ax',c_symmetric)).
% 98.62/14.30 thf(f35,axiom,(
% 98.62/14.30 (p = (^[X0 : reg, X1 : reg] : (! [X2 : reg] : ((c @ X2 @ X0) => (c @ X2 @ X1)))))),
% 98.62/14.30 file('/export/starexec/sandbox/benchmark/Axioms/LCL014^0.ax',p)).
% 98.62/14.30 thf(f37,axiom,(
% 98.62/14.30 (o = (^[X0 : reg, X1 : reg] : (? [X2 : reg] : ((p @ X2 @ X1) & (p @ X2 @ X0)))))),
% 98.62/14.30 file('/export/starexec/sandbox/benchmark/Axioms/LCL014^0.ax',o)).
% 98.62/14.30 thf(f39,axiom,(
% 98.62/14.30 (ec = (^[X0 : reg, X1 : reg] : (~(o @ X0 @ X1) & (c @ X0 @ X1))))),
% 98.62/14.30 file('/export/starexec/sandbox/benchmark/Axioms/LCL014^0.ax',ec)).
% 98.62/14.30 thf(f40,axiom,(
% 98.62/14.30 (pp = (^[X0 : reg, X1 : reg] : (~(p @ X1 @ X0) & (p @ X0 @ X1))))),
% 98.62/14.30 file('/export/starexec/sandbox/benchmark/Axioms/LCL014^0.ax',pp)).
% 98.62/14.30 thf(f41,axiom,(
% 98.62/14.30 (tpp = (^[X0 : reg, X1 : reg] : (? [X2 : reg] : ((ec @ X2 @ X1) & (ec @ X2 @ X0)) & (pp @ X0 @ X1))))),
% 98.62/14.30 file('/export/starexec/sandbox/benchmark/Axioms/LCL014^0.ax',tpp)).
% 98.62/14.30 thf(f42,axiom,(
% 98.62/14.30 (ntpp = (^[X0 : reg, X1 : reg] : (~ ? [X2 : reg] : ((ec @ X2 @ X1) & (ec @ X2 @ X0)) & (pp @ X0 @ X1))))),
% 98.62/14.30 file('/export/starexec/sandbox/benchmark/Axioms/LCL014^0.ax',ntpp)).
% 98.62/14.30 thf(f43,axiom,(
% 98.62/14.30 (mvalid @ (mforall_prop @ (^[X0 : ($i > $o)] : ((mimplies @ (mbox @ fool @ X0) @ X0)))))),
% 98.62/14.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p',t_axiom_for_fool)).
% 98.62/14.30 thf(f46,axiom,(
% 98.62/14.30 (mvalid @ (mbox @ a @ (^[X0 : $i] : ((tpp @ catalunya @ spain)))))),
% 98.62/14.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1)).
% 98.62/14.30 thf(f47,axiom,(
% 98.62/14.30 (mvalid @ (mbox @ fool @ (^[X0 : $i] : ((ec @ spain @ france)))))),
% 98.62/14.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2)).
% 98.62/14.30 thf(f48,axiom,(
% 98.62/14.30 (mvalid @ (mbox @ a @ (^[X0 : $i] : ((ntpp @ paris @ france)))))),
% 98.62/14.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3)).
% 98.62/14.30 thf(f49,conjecture,(
% 98.62/14.30 (mvalid @ (mbox @ a @ (^[X0 : $i] : (! [X1 : reg] : ((p @ X1 @ catalunya) => ~(p @ X1 @ paris))))))),
% 98.62/14.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p',con)).
% 98.62/14.30 thf(f50,negated_conjecture,(
% 98.62/14.30 ~(mvalid @ (mbox @ a @ (^[X0 : $i] : (! [X1 : reg] : ((p @ X1 @ catalunya) => ~(p @ X1 @ paris))))))),
% 98.62/14.30 inference(negated_conjecture,[status(cth)],[f49])).
% 98.62/14.30 thf(f53,plain,(
% 98.62/14.30 (mnot = (^[X0 : ($i > $o), X1 : $i] : (~(X0 @ X1))))),
% 98.62/14.30 inference(rectify,[],[f3])).
% 98.62/14.30 thf(f54,plain,(
% 98.62/14.30 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 98.62/14.30 inference(fool_elimination,[],[f53])).
% 98.62/14.30 thf(f55,plain,(
% 98.62/14.30 (mor = (^[X0 : ($i > $o), X1 : ($i > $o), X2 : $i] : ((X1 @ X2) | (X0 @ X2))))),
% 98.62/14.30 inference(rectify,[],[f4])).
% 98.62/14.30 thf(f56,plain,(
% 98.62/14.30 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 98.62/14.30 inference(fool_elimination,[],[f55])).
% 98.62/14.30 thf(f58,plain,(
% 98.62/14.30 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 98.62/14.30 inference(fool_elimination,[],[f6])).
% 98.62/14.30 thf(f64,plain,(
% 98.62/14.30 (mforall_prop = (^[X0 : (($i > $o) > $i > $o), X1 : $i] : (! [X2 : ($i > $o)] : (X0 @ X2 @ X1))))),
% 98.62/14.30 inference(rectify,[],[f11])).
% 98.62/14.30 thf(f65,plain,(
% 98.62/14.30 (mforall_prop = (^[Y0 : ($i > $o) > $i > $o]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (Y0 @ Y2 @ Y1)))))))),
% 98.62/14.30 inference(fool_elimination,[],[f64])).
% 98.62/14.30 thf(f71,plain,(
% 98.62/14.30 (mbox = (^[X0 : ($i > $i > $o), X1 : ($i > $o), X2 : $i] : (! [X3 : $i] : ((X1 @ X3) | ~(X0 @ X2 @ X3)))))),
% 98.62/14.30 inference(rectify,[],[f16])).
% 98.62/14.30 thf(f72,plain,(
% 98.62/14.30 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))))),
% 98.62/14.30 inference(fool_elimination,[],[f71])).
% 98.62/14.30 thf(f94,plain,(
% 98.62/14.30 (mvalid = (^[X0 : ($i > $o)] : (! [X1 : $i] : (X0 @ X1))))),
% 98.62/14.30 inference(rectify,[],[f28])).
% 98.62/14.30 thf(f95,plain,(
% 98.62/14.30 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 98.62/14.30 inference(fool_elimination,[],[f94])).
% 98.62/14.30 thf(f104,plain,(
% 98.62/14.30 ! [X0 : reg,X1 : reg] : ((c @ X0 @ X1) => (c @ X1 @ X0))),
% 98.62/14.30 inference(rectify,[],[f33])).
% 98.62/14.30 thf(f105,plain,(
% 98.62/14.30 ! [X0 : reg,X1 : reg] : ((((c @ X0 @ X1)) = $true) => (((c @ X1 @ X0)) = $true))),
% 98.62/14.30 inference(fool_elimination,[],[f104])).
% 98.62/14.30 thf(f108,plain,(
% 98.62/14.30 (p = (^[X0 : reg, X1 : reg] : (! [X2 : reg] : ((c @ X2 @ X0) => (c @ X2 @ X1)))))),
% 98.62/14.30 inference(rectify,[],[f35])).
% 98.62/14.30 thf(f109,plain,(
% 98.62/14.30 (p = (^[Y0 : reg]: ((^[Y1 : reg]: (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y0) => (c @ Y2 @ Y1))))))))),
% 98.62/14.30 inference(fool_elimination,[],[f108])).
% 98.62/14.30 thf(f112,plain,(
% 98.62/14.30 (o = (^[X0 : reg, X1 : reg] : (? [X2 : reg] : ((p @ X2 @ X1) & (p @ X2 @ X0)))))),
% 98.62/14.30 inference(rectify,[],[f37])).
% 98.62/14.30 thf(f113,plain,(
% 98.62/14.30 (o = (^[Y0 : reg]: ((^[Y1 : reg]: (?? @ reg @ (^[Y2 : reg]: ((p @ Y2 @ Y0) & (p @ Y2 @ Y1))))))))),
% 98.62/14.30 inference(fool_elimination,[],[f112])).
% 98.62/14.30 thf(f116,plain,(
% 98.62/14.30 (ec = (^[X0 : reg, X1 : reg] : (~(o @ X0 @ X1) & (c @ X0 @ X1))))),
% 98.62/14.30 inference(rectify,[],[f39])).
% 98.62/14.30 thf(f117,plain,(
% 98.62/14.30 (ec = (^[Y0 : reg]: ((^[Y1 : reg]: ((c @ Y0 @ Y1) & (~ (o @ Y0 @ Y1)))))))),
% 98.62/14.30 inference(fool_elimination,[],[f116])).
% 98.62/14.30 thf(f118,plain,(
% 98.62/14.30 (pp = (^[X0 : reg, X1 : reg] : (~(p @ X1 @ X0) & (p @ X0 @ X1))))),
% 98.62/14.30 inference(rectify,[],[f40])).
% 98.62/14.30 thf(f119,plain,(
% 98.62/14.30 (pp = (^[Y0 : reg]: ((^[Y1 : reg]: ((p @ Y0 @ Y1) & (~ (p @ Y1 @ Y0)))))))),
% 98.62/14.30 inference(fool_elimination,[],[f118])).
% 98.62/14.30 thf(f120,plain,(
% 98.62/14.30 (tpp = (^[X0 : reg, X1 : reg] : (? [X2 : reg] : ((ec @ X2 @ X1) & (ec @ X2 @ X0)) & (pp @ X0 @ X1))))),
% 98.62/14.30 inference(rectify,[],[f41])).
% 98.62/14.30 thf(f121,plain,(
% 98.62/14.30 (tpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((pp @ Y0 @ Y1) & (?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y0) & (ec @ Y2 @ Y1)))))))))),
% 98.62/14.30 inference(fool_elimination,[],[f120])).
% 98.62/14.30 thf(f122,plain,(
% 98.62/14.30 (ntpp = (^[X0 : reg, X1 : reg] : (~ ? [X2 : reg] : ((ec @ X2 @ X1) & (ec @ X2 @ X0)) & (pp @ X0 @ X1))))),
% 98.62/14.30 inference(rectify,[],[f42])).
% 98.62/14.30 thf(f123,plain,(
% 98.62/14.30 (ntpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((pp @ Y0 @ Y1) & (~ (?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y0) & (ec @ Y2 @ Y1))))))))))),
% 98.62/14.30 inference(fool_elimination,[],[f122])).
% 98.62/14.30 thf(f124,plain,(
% 98.62/14.30 (mvalid @ (mforall_prop @ (^[X0 : ($i > $o)] : ((mimplies @ (mbox @ fool @ X0) @ X0)))))),
% 98.62/14.30 inference(rectify,[],[f43])).
% 98.62/14.30 thf(f125,plain,(
% 98.62/14.30 ($true = ((mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mbox @ fool @ Y0) @ Y0))))))),
% 98.62/14.30 inference(fool_elimination,[],[f124])).
% 98.62/14.30 thf(f130,plain,(
% 98.62/14.30 (mvalid @ (mbox @ a @ (^[X0 : $i] : ((tpp @ catalunya @ spain)))))),
% 98.62/14.30 inference(rectify,[],[f46])).
% 98.62/14.30 thf(f131,plain,(
% 98.62/14.30 ($true = ((mvalid @ (mbox @ a @ (^[Y0 : $i]: (tpp @ catalunya @ spain))))))),
% 98.62/14.30 inference(fool_elimination,[],[f130])).
% 98.62/14.30 thf(f132,plain,(
% 98.62/14.30 (mvalid @ (mbox @ fool @ (^[X0 : $i] : ((ec @ spain @ france)))))),
% 98.62/14.30 inference(rectify,[],[f47])).
% 98.62/14.30 thf(f133,plain,(
% 98.62/14.30 ($true = ((mvalid @ (mbox @ fool @ (^[Y0 : $i]: (ec @ spain @ france))))))),
% 98.62/14.30 inference(fool_elimination,[],[f132])).
% 98.62/14.30 thf(f134,plain,(
% 98.62/14.30 (mvalid @ (mbox @ a @ (^[X0 : $i] : ((ntpp @ paris @ france)))))),
% 98.62/14.30 inference(rectify,[],[f48])).
% 98.62/14.30 thf(f135,plain,(
% 98.62/14.30 ($true = ((mvalid @ (mbox @ a @ (^[Y0 : $i]: (ntpp @ paris @ france))))))),
% 98.62/14.30 inference(fool_elimination,[],[f134])).
% 98.62/14.30 thf(f136,plain,(
% 98.62/14.30 ~(mvalid @ (mbox @ a @ (^[X0 : $i] : (! [X1 : reg] : ((p @ X1 @ catalunya) => ~(p @ X1 @ paris))))))),
% 98.62/14.30 inference(rectify,[],[f50])).
% 98.62/14.30 thf(f137,plain,(
% 98.62/14.30 ~ ($true = ((mvalid @ (mbox @ a @ (^[Y0 : $i]: (!! @ reg @ (^[Y1 : reg]: ((p @ Y1 @ catalunya) => (~ (p @ Y1 @ paris))))))))))),
% 98.62/14.30 inference(fool_elimination,[],[f136])).
% 98.62/14.30 thf(f138,plain,(
% 98.62/14.30 ($true != ((mvalid @ (mbox @ a @ (^[Y0 : $i]: (!! @ reg @ (^[Y1 : reg]: ((p @ Y1 @ catalunya) => (~ (p @ Y1 @ paris))))))))))),
% 98.62/14.30 inference(flattening,[],[f137])).
% 98.62/14.30 thf(f139,plain,(
% 98.62/14.30 ! [X0 : reg,X1 : reg] : ((((c @ X1 @ X0)) = $true) | (((c @ X0 @ X1)) != $true))),
% 98.62/14.30 inference(ennf_transformation,[],[f105])).
% 98.62/14.30 thf(f142,plain,(
% 98.62/14.30 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 98.62/14.30 inference(cnf_transformation,[],[f54])).
% 98.62/14.30 thf(f143,plain,(
% 98.62/14.30 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 98.62/14.30 inference(cnf_transformation,[],[f56])).
% 98.62/14.30 thf(f145,plain,(
% 98.62/14.30 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 98.62/14.30 inference(cnf_transformation,[],[f58])).
% 98.62/14.30 thf(f150,plain,(
% 98.62/14.30 (mforall_prop = (^[Y0 : ($i > $o) > $i > $o]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (Y0 @ Y2 @ Y1)))))))),
% 98.62/14.30 inference(cnf_transformation,[],[f65])).
% 98.62/14.30 thf(f155,plain,(
% 98.62/14.30 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))))),
% 98.62/14.30 inference(cnf_transformation,[],[f72])).
% 98.62/14.30 thf(f167,plain,(
% 98.62/14.30 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 98.62/14.30 inference(cnf_transformation,[],[f95])).
% 98.62/14.30 thf(f172,plain,(
% 98.62/14.30 ( ! [X0 : reg,X1 : reg] : ((((c @ X1 @ X0)) = $true) | (((c @ X0 @ X1)) != $true)) )),
% 98.62/14.30 inference(cnf_transformation,[],[f139])).
% 98.62/14.30 thf(f174,plain,(
% 98.62/14.30 (p = (^[Y0 : reg]: ((^[Y1 : reg]: (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y0) => (c @ Y2 @ Y1))))))))),
% 98.62/14.30 inference(cnf_transformation,[],[f109])).
% 98.62/14.30 thf(f176,plain,(
% 98.62/14.30 (o = (^[Y0 : reg]: ((^[Y1 : reg]: (?? @ reg @ (^[Y2 : reg]: ((p @ Y2 @ Y0) & (p @ Y2 @ Y1))))))))),
% 98.62/14.30 inference(cnf_transformation,[],[f113])).
% 98.62/14.30 thf(f178,plain,(
% 98.62/14.30 (ec = (^[Y0 : reg]: ((^[Y1 : reg]: ((c @ Y0 @ Y1) & (~ (o @ Y0 @ Y1)))))))),
% 98.62/14.30 inference(cnf_transformation,[],[f117])).
% 98.62/14.30 thf(f179,plain,(
% 98.62/14.30 (pp = (^[Y0 : reg]: ((^[Y1 : reg]: ((p @ Y0 @ Y1) & (~ (p @ Y1 @ Y0)))))))),
% 98.62/14.30 inference(cnf_transformation,[],[f119])).
% 98.62/14.30 thf(f180,plain,(
% 98.62/14.30 (tpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((pp @ Y0 @ Y1) & (?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y0) & (ec @ Y2 @ Y1)))))))))),
% 98.62/14.30 inference(cnf_transformation,[],[f121])).
% 98.62/14.30 thf(f181,plain,(
% 98.62/14.30 (ntpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((pp @ Y0 @ Y1) & (~ (?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y0) & (ec @ Y2 @ Y1))))))))))),
% 98.62/14.30 inference(cnf_transformation,[],[f123])).
% 98.62/14.30 thf(f182,plain,(
% 98.62/14.30 ($true = ((mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mbox @ fool @ Y0) @ Y0))))))),
% 98.62/14.30 inference(cnf_transformation,[],[f125])).
% 98.62/14.30 thf(f185,plain,(
% 98.62/14.30 ($true = ((mvalid @ (mbox @ a @ (^[Y0 : $i]: (tpp @ catalunya @ spain))))))),
% 98.62/14.30 inference(cnf_transformation,[],[f131])).
% 98.62/14.30 thf(f186,plain,(
% 98.62/14.30 ($true = ((mvalid @ (mbox @ fool @ (^[Y0 : $i]: (ec @ spain @ france))))))),
% 98.62/14.30 inference(cnf_transformation,[],[f133])).
% 98.62/14.30 thf(f187,plain,(
% 98.62/14.30 ($true = ((mvalid @ (mbox @ a @ (^[Y0 : $i]: (ntpp @ paris @ france))))))),
% 98.62/14.30 inference(cnf_transformation,[],[f135])).
% 98.62/14.30 thf(f188,plain,(
% 98.62/14.30 ($true != ((mvalid @ (mbox @ a @ (^[Y0 : $i]: (!! @ reg @ (^[Y1 : reg]: ((p @ Y1 @ catalunya) => (~ (p @ Y1 @ paris))))))))))),
% 98.62/14.30 inference(cnf_transformation,[],[f138])).
% 98.62/14.30 thf(f190,definition,(
% 98.62/14.30 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 98.62/14.30 introduced(theory,[fool_exhaustiveness_axiom])).
% 98.62/14.30 thf(f192,plain,(
% 98.62/14.30 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))))),
% 98.62/14.30 inference(definition_unfolding,[],[f145,f143,f142])).
% 98.62/14.30 thf(f201,plain,(
% 98.62/14.30 (o = (^[Y0 : reg]: ((^[Y1 : reg]: (?? @ reg @ (^[Y2 : reg]: (((^[Y3 : reg]: ((^[Y4 : reg]: (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y3) => (c @ Y5 @ Y4))))))) @ Y2 @ Y0) & ((^[Y3 : reg]: ((^[Y4 : reg]: (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y3) => (c @ Y5 @ Y4))))))) @ Y2 @ Y1))))))))),
% 98.62/14.30 inference(definition_unfolding,[],[f176,f174,f174])).
% 98.62/14.30 thf(f203,plain,(
% 98.62/14.30 (ec = (^[Y0 : reg]: ((^[Y1 : reg]: ((c @ Y0 @ Y1) & (~ ((^[Y2 : reg]: ((^[Y3 : reg]: (?? @ reg @ (^[Y4 : reg]: (((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y2) & ((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y3))))))) @ Y0 @ Y1)))))))),
% 98.62/14.30 inference(definition_unfolding,[],[f178,f201])).
% 98.62/14.30 thf(f204,plain,(
% 98.62/14.30 (pp = (^[Y0 : reg]: ((^[Y1 : reg]: (((^[Y2 : reg]: ((^[Y3 : reg]: (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y2) => (c @ Y4 @ Y3))))))) @ Y0 @ Y1) & (~ ((^[Y2 : reg]: ((^[Y3 : reg]: (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y2) => (c @ Y4 @ Y3))))))) @ Y1 @ Y0)))))))),
% 98.62/14.30 inference(definition_unfolding,[],[f179,f174,f174])).
% 98.62/14.30 thf(f205,plain,(
% 98.62/14.30 (tpp = (^[Y0 : reg]: ((^[Y1 : reg]: (((^[Y2 : reg]: ((^[Y3 : reg]: (((^[Y4 : reg]: ((^[Y5 : reg]: (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y4) => (c @ Y6 @ Y5))))))) @ Y2 @ Y3) & (~ ((^[Y4 : reg]: ((^[Y5 : reg]: (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y4) => (c @ Y6 @ Y5))))))) @ Y3 @ Y2)))))) @ Y0 @ Y1) & (?? @ reg @ (^[Y2 : reg]: (((^[Y3 : reg]: ((^[Y4 : reg]: ((c @ Y3 @ Y4) & (~ ((^[Y5 : reg]: ((^[Y6 : reg]: (?? @ reg @ (^[Y7 : reg]: (((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y5) & ((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y6))))))) @ Y3 @ Y4)))))) @ Y2 @ Y0) & ((^[Y3 : reg]: ((^[Y4 : reg]: ((c @ Y3 @ Y4) & (~ ((^[Y5 : reg]: ((^[Y6 : reg]: (?? @ reg @ (^[Y7 : reg]: (((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y5) & ((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y6))))))) @ Y3 @ Y4)))))) @ Y2 @ Y1)))))))))),
% 98.62/14.30 inference(definition_unfolding,[],[f180,f204,f203,f203])).
% 98.62/14.30 thf(f206,plain,(
% 98.62/14.30 (ntpp = (^[Y0 : reg]: ((^[Y1 : reg]: (((^[Y2 : reg]: ((^[Y3 : reg]: (((^[Y4 : reg]: ((^[Y5 : reg]: (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y4) => (c @ Y6 @ Y5))))))) @ Y2 @ Y3) & (~ ((^[Y4 : reg]: ((^[Y5 : reg]: (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y4) => (c @ Y6 @ Y5))))))) @ Y3 @ Y2)))))) @ Y0 @ Y1) & (~ (?? @ reg @ (^[Y2 : reg]: (((^[Y3 : reg]: ((^[Y4 : reg]: ((c @ Y3 @ Y4) & (~ ((^[Y5 : reg]: ((^[Y6 : reg]: (?? @ reg @ (^[Y7 : reg]: (((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y5) & ((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y6))))))) @ Y3 @ Y4)))))) @ Y2 @ Y0) & ((^[Y3 : reg]: ((^[Y4 : reg]: ((c @ Y3 @ Y4) & (~ ((^[Y5 : reg]: ((^[Y6 : reg]: (?? @ reg @ (^[Y7 : reg]: (((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y5) & ((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y6))))))) @ Y3 @ Y4)))))) @ Y2 @ Y1))))))))))),
% 98.62/14.30 inference(definition_unfolding,[],[f181,f204,f203,f203])).
% 98.62/14.30 thf(f207,plain,(
% 98.62/14.30 ($true = (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : ($i > $o) > $i > $o]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: ((Y3 @ Y5) | (Y4 @ Y5))))))) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ Y1) @ Y2)))) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ fool @ Y0) @ Y0))))))),
% 98.62/14.30 inference(definition_unfolding,[],[f182,f167,f150,f192,f155])).
% 98.62/14.30 thf(f210,plain,(
% 98.62/14.30 ($true = (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))) @ a @ (^[Y0 : $i]: ((^[Y1 : reg]: ((^[Y2 : reg]: (((^[Y3 : reg]: ((^[Y4 : reg]: (((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y3 @ Y4) & (~ ((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y3)))))) @ Y1 @ Y2) & (?? @ reg @ (^[Y3 : reg]: (((^[Y4 : reg]: ((^[Y5 : reg]: ((c @ Y4 @ Y5) & (~ ((^[Y6 : reg]: ((^[Y7 : reg]: (?? @ reg @ (^[Y8 : reg]: (((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y6) & ((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y7))))))) @ Y4 @ Y5)))))) @ Y3 @ Y1) & ((^[Y4 : reg]: ((^[Y5 : reg]: ((c @ Y4 @ Y5) & (~ ((^[Y6 : reg]: ((^[Y7 : reg]: (?? @ reg @ (^[Y8 : reg]: (((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y6) & ((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y7))))))) @ Y4 @ Y5)))))) @ Y3 @ Y2)))))))) @ catalunya @ spain))))))),
% 98.62/14.30 inference(definition_unfolding,[],[f185,f167,f155,f205])).
% 98.62/14.30 thf(f211,plain,(
% 98.62/14.30 ($true = (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))) @ fool @ (^[Y0 : $i]: ((^[Y1 : reg]: ((^[Y2 : reg]: ((c @ Y1 @ Y2) & (~ ((^[Y3 : reg]: ((^[Y4 : reg]: (?? @ reg @ (^[Y5 : reg]: (((^[Y6 : reg]: ((^[Y7 : reg]: (!! @ reg @ (^[Y8 : reg]: ((c @ Y8 @ Y6) => (c @ Y8 @ Y7))))))) @ Y5 @ Y3) & ((^[Y6 : reg]: ((^[Y7 : reg]: (!! @ reg @ (^[Y8 : reg]: ((c @ Y8 @ Y6) => (c @ Y8 @ Y7))))))) @ Y5 @ Y4))))))) @ Y1 @ Y2)))))) @ spain @ france))))))),
% 98.62/14.30 inference(definition_unfolding,[],[f186,f167,f155,f203])).
% 98.62/14.30 thf(f212,plain,(
% 98.62/14.30 ($true = (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))) @ a @ (^[Y0 : $i]: ((^[Y1 : reg]: ((^[Y2 : reg]: (((^[Y3 : reg]: ((^[Y4 : reg]: (((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y3 @ Y4) & (~ ((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y3)))))) @ Y1 @ Y2) & (~ (?? @ reg @ (^[Y3 : reg]: (((^[Y4 : reg]: ((^[Y5 : reg]: ((c @ Y4 @ Y5) & (~ ((^[Y6 : reg]: ((^[Y7 : reg]: (?? @ reg @ (^[Y8 : reg]: (((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y6) & ((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y7))))))) @ Y4 @ Y5)))))) @ Y3 @ Y1) & ((^[Y4 : reg]: ((^[Y5 : reg]: ((c @ Y4 @ Y5) & (~ ((^[Y6 : reg]: ((^[Y7 : reg]: (?? @ reg @ (^[Y8 : reg]: (((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y6) & ((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y7))))))) @ Y4 @ Y5)))))) @ Y3 @ Y2))))))))) @ paris @ france))))))),
% 98.62/14.30 inference(definition_unfolding,[],[f187,f167,f155,f206])).
% 98.62/14.30 thf(f213,plain,(
% 98.62/14.30 ($true != (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))) @ a @ (^[Y0 : $i]: (!! @ reg @ (^[Y1 : reg]: (((^[Y2 : reg]: ((^[Y3 : reg]: (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y2) => (c @ Y4 @ Y3))))))) @ Y1 @ catalunya) => (~ ((^[Y2 : reg]: ((^[Y3 : reg]: (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y2) => (c @ Y4 @ Y3))))))) @ Y1 @ paris))))))))))),
% 98.62/14.30 inference(definition_unfolding,[],[f188,f167,f155,f174,f174])).
% 98.62/14.30 thf(f214,plain,(
% 98.62/14.30 ($true != ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | (!! @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ catalunya)))) => (~ (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ paris)))))))))))))))),
% 98.62/14.30 inference(beta-eta_normalization,[],[f213])).
% 98.62/14.30 thf(f215,plain,(
% 98.62/14.30 ($false = (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | (!! @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ catalunya)))) => (~ (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ paris)))))))))))) @ sK0)))),
% 98.62/14.30 inference(sigma_proxy_clausification,[],[f214])).
% 98.62/14.30 thf(f216,plain,(
% 98.62/14.30 ($false = ((!! @ $i @ (^[Y0 : $i]: ((~ (a @ sK0 @ Y0)) | (!! @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))) => (~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))))))))))))),
% 98.62/14.30 inference(beta-eta_normalization,[],[f215])).
% 98.62/14.30 thf(f217,plain,(
% 98.62/14.30 ($false = (((^[Y0 : $i]: ((~ (a @ sK0 @ Y0)) | (!! @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))) => (~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))))))))) @ sK1)))),
% 98.62/14.30 inference(sigma_proxy_clausification,[],[f216])).
% 98.62/14.30 thf(f218,plain,(
% 98.62/14.30 ($false = (((~ (a @ sK0 @ sK1)) | (!! @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya)))) => (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))))))))))),
% 98.62/14.30 inference(beta-eta_normalization,[],[f217])).
% 98.62/14.30 thf(f219,plain,(
% 98.62/14.30 ($false = ((!! @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya)))) => (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris))))))))))),
% 98.62/14.30 inference(or_proxy_clausification,[],[f218])).
% 98.62/14.30 thf(f220,plain,(
% 98.62/14.30 ($false = ((~ (a @ sK0 @ sK1))))),
% 98.62/14.30 inference(or_proxy_clausification,[],[f218])).
% 98.62/14.30 thf(f221,plain,(
% 98.62/14.30 ($true = ((a @ sK0 @ sK1)))),
% 98.62/14.30 inference(not_proxy_clausification,[],[f220])).
% 98.62/14.30 thf(f222,plain,(
% 98.62/14.30 ($false = (((^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya)))) => (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris))))))) @ sK2)))),
% 98.62/14.30 inference(sigma_proxy_clausification,[],[f219])).
% 98.62/14.30 thf(f223,plain,(
% 98.62/14.30 ($false = (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK2) => (c @ Y0 @ catalunya)))) => (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK2) => (c @ Y0 @ paris))))))))),
% 98.62/14.30 inference(beta-eta_normalization,[],[f222])).
% 98.62/14.30 thf(f224,plain,(
% 98.62/14.30 ($false = ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK2) => (c @ Y0 @ paris)))))))),
% 98.62/14.30 inference(imp_proxy_clausification,[],[f223])).
% 98.62/14.30 thf(f225,plain,(
% 98.62/14.30 ($true = ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK2) => (c @ Y0 @ catalunya))))))),
% 98.62/14.30 inference(imp_proxy_clausification,[],[f223])).
% 98.62/14.30 thf(f226,plain,(
% 98.62/14.30 ( ! [X1 : reg] : (($true = (((^[Y0 : reg]: ((c @ Y0 @ sK2) => (c @ Y0 @ catalunya))) @ X1)))) )),
% 98.62/14.30 inference(pi_proxy_clausification,[],[f225])).
% 98.62/14.30 thf(f227,plain,(
% 98.62/14.30 ( ! [X1 : reg] : (($true = (((c @ X1 @ sK2) => (c @ X1 @ catalunya))))) )),
% 98.62/14.30 inference(beta-eta_normalization,[],[f226])).
% 98.62/14.30 thf(f228,plain,(
% 98.62/14.30 ( ! [X1 : reg] : (($false = ((c @ X1 @ sK2))) | ($true = ((c @ X1 @ catalunya)))) )),
% 98.62/14.30 inference(imp_proxy_clausification,[],[f227])).
% 98.62/14.30 thf(f229,plain,(
% 98.62/14.30 ($true = ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK2) => (c @ Y0 @ paris))))))),
% 98.62/14.30 inference(not_proxy_clausification,[],[f224])).
% 98.62/14.30 thf(f230,plain,(
% 98.62/14.30 ( ! [X1 : reg] : (($true = (((^[Y0 : reg]: ((c @ Y0 @ sK2) => (c @ Y0 @ paris))) @ X1)))) )),
% 98.62/14.30 inference(pi_proxy_clausification,[],[f229])).
% 98.62/14.30 thf(f231,plain,(
% 98.62/14.30 ( ! [X1 : reg] : (($true = (((c @ X1 @ sK2) => (c @ X1 @ paris))))) )),
% 98.62/14.30 inference(beta-eta_normalization,[],[f230])).
% 98.62/14.30 thf(f232,plain,(
% 98.62/14.30 ( ! [X1 : reg] : (($false = ((c @ X1 @ sK2))) | ($true = ((c @ X1 @ paris)))) )),
% 98.62/14.30 inference(imp_proxy_clausification,[],[f231])).
% 98.62/14.30 thf(f233,plain,(
% 98.62/14.30 ($true = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | (((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ paris) => (c @ Y2 @ france)))) & (~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ france) => (c @ Y2 @ paris)))))) & (~ (?? @ reg @ (^[Y2 : reg]: (((c @ Y2 @ paris) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ paris))))))))) & ((c @ Y2 @ france) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ france)))))))))))))))))))))),
% 98.62/14.30 inference(beta-eta_normalization,[],[f212])).
% 98.62/14.30 thf(f234,plain,(
% 98.62/14.30 ( ! [X1 : $i] : (($true = (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | (((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ paris) => (c @ Y2 @ france)))) & (~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ france) => (c @ Y2 @ paris)))))) & (~ (?? @ reg @ (^[Y2 : reg]: (((c @ Y2 @ paris) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ paris))))))))) & ((c @ Y2 @ france) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ france)))))))))))))))))) @ X1)))) )),
% 98.62/14.30 inference(pi_proxy_clausification,[],[f233])).
% 98.62/14.30 thf(f235,plain,(
% 98.62/14.30 ( ! [X1 : $i] : (($true = ((!! @ $i @ (^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | (((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ paris) => (c @ Y1 @ france)))) & (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ france) => (c @ Y1 @ paris)))))) & (~ (?? @ reg @ (^[Y1 : reg]: (((c @ Y1 @ paris) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ paris))))))))) & ((c @ Y1 @ france) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france)))))))))))))))))))) )),
% 98.62/14.30 inference(beta-eta_normalization,[],[f234])).
% 98.62/14.30 thf(f236,plain,(
% 98.62/14.30 ( ! [X2 : $i,X1 : $i] : (($true = (((^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | (((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ paris) => (c @ Y1 @ france)))) & (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ france) => (c @ Y1 @ paris)))))) & (~ (?? @ reg @ (^[Y1 : reg]: (((c @ Y1 @ paris) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ paris))))))))) & ((c @ Y1 @ france) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france)))))))))))))))) @ X2)))) )),
% 98.62/14.30 inference(pi_proxy_clausification,[],[f235])).
% 98.62/14.30 thf(f237,plain,(
% 98.62/14.30 ( ! [X2 : $i,X1 : $i] : (($true = (((~ (a @ X1 @ X2)) | (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris)))))) & (~ (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ paris) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris))))))))) & ((c @ Y0 @ france) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))))))))))))))))) )),
% 98.62/14.30 inference(beta-eta_normalization,[],[f236])).
% 98.62/14.30 thf(f238,plain,(
% 98.62/14.30 ( ! [X2 : $i,X1 : $i] : (($true = ((((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris)))))) & (~ (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ paris) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris))))))))) & ((c @ Y0 @ france) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))))))))))))))) | ($true = ((~ (a @ X1 @ X2))))) )),
% 98.62/14.30 inference(or_proxy_clausification,[],[f237])).
% 98.62/14.30 thf(f240,plain,(
% 98.62/14.30 ( ! [X2 : $i,X1 : $i] : (($true = (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris)))))))) | ($true = ((~ (a @ X1 @ X2))))) )),
% 98.62/14.30 inference(and_proxy_clausification,[],[f238])).
% 98.62/14.30 thf(f242,plain,(
% 98.62/14.30 ( ! [X2 : $i,X1 : $i] : (($true = ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))))) | ($true = ((~ (a @ X1 @ X2))))) )),
% 98.62/14.30 inference(and_proxy_clausification,[],[f240])).
% 98.62/14.30 thf(f243,plain,(
% 98.62/14.30 ( ! [X2 : $i,X3 : reg,X1 : $i] : (($true = (((^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france))) @ X3))) | ($true = ((~ (a @ X1 @ X2))))) )),
% 99.35/14.30 inference(pi_proxy_clausification,[],[f242])).
% 99.35/14.30 thf(f244,plain,(
% 99.35/14.30 ( ! [X2 : $i,X3 : reg,X1 : $i] : (($true = (((^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france))) @ X3))) | ($false = ((a @ X1 @ X2)))) )),
% 99.35/14.30 inference(not_proxy_clausification,[],[f243])).
% 99.35/14.30 thf(f245,plain,(
% 99.35/14.30 ( ! [X2 : $i,X3 : reg,X1 : $i] : (($true = (((c @ X3 @ paris) => (c @ X3 @ france)))) | ($false = ((a @ X1 @ X2)))) )),
% 99.35/14.30 inference(beta-eta_normalization,[],[f244])).
% 99.35/14.30 thf(f246,plain,(
% 99.35/14.30 ( ! [X2 : $i,X3 : reg,X1 : $i] : (($false = ((c @ X3 @ paris))) | ($false = ((a @ X1 @ X2))) | ($true = ((c @ X3 @ france)))) )),
% 99.35/14.30 inference(imp_proxy_clausification,[],[f245])).
% 99.35/14.30 thf(f289,plain,(
% 99.35/14.30 ($true = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (fool @ Y0 @ Y1)) | ((c @ spain @ france) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france))))))))))))))))),
% 99.35/14.30 inference(beta-eta_normalization,[],[f211])).
% 99.35/14.30 thf(f290,plain,(
% 99.35/14.30 ( ! [X1 : $i] : (($true = (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (fool @ Y0 @ Y1)) | ((c @ spain @ france) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france))))))))))))) @ X1)))) )),
% 99.35/14.30 inference(pi_proxy_clausification,[],[f289])).
% 99.35/14.30 thf(f291,plain,(
% 99.35/14.30 ( ! [X1 : $i] : (($true = ((!! @ $i @ (^[Y0 : $i]: ((~ (fool @ X1 @ Y0)) | ((c @ spain @ france) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france))))))))))))))) )),
% 99.35/14.30 inference(beta-eta_normalization,[],[f290])).
% 99.35/14.30 thf(f292,plain,(
% 99.35/14.30 ( ! [X2 : $i,X1 : $i] : (($true = (((^[Y0 : $i]: ((~ (fool @ X1 @ Y0)) | ((c @ spain @ france) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france))))))))))) @ X2)))) )),
% 99.35/14.30 inference(pi_proxy_clausification,[],[f291])).
% 99.35/14.30 thf(f293,plain,(
% 99.35/14.30 ( ! [X2 : $i,X1 : $i] : (($true = (((~ (fool @ X1 @ X2)) | ((c @ spain @ france) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france))))))))))))) )),
% 99.35/14.30 inference(beta-eta_normalization,[],[f292])).
% 99.35/14.30 thf(f294,plain,(
% 99.35/14.30 ( ! [X2 : $i,X1 : $i] : (($true = (((c @ spain @ france) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france))))))))))) | ($true = ((~ (fool @ X1 @ X2))))) )),
% 99.35/14.30 inference(or_proxy_clausification,[],[f293])).
% 99.35/14.30 thf(f295,plain,(
% 99.35/14.30 ( ! [X2 : $i,X1 : $i] : (($true = ((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))))))) | ($true = ((~ (fool @ X1 @ X2))))) )),
% 99.35/14.30 inference(and_proxy_clausification,[],[f294])).
% 99.35/14.30 thf(f298,plain,(
% 99.35/14.30 ( ! [X2 : $i,X1 : $i] : (($false = ((?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france))))))))) | ($true = ((~ (fool @ X1 @ X2))))) )),
% 99.35/14.30 inference(not_proxy_clausification,[],[f295])).
% 99.35/14.30 thf(f299,plain,(
% 99.35/14.30 ( ! [X2 : $i,X3 : reg,X1 : $i] : (($false = (((^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))) @ X3))) | ($true = ((~ (fool @ X1 @ X2))))) )),
% 99.35/14.30 inference(pi_proxy_clausification,[],[f298])).
% 99.35/14.30 thf(f300,plain,(
% 99.35/14.30 ( ! [X2 : $i,X3 : reg,X1 : $i] : (($false = (((^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))) @ X3))) | ($false = ((fool @ X1 @ X2)))) )),
% 99.35/14.30 inference(not_proxy_clausification,[],[f299])).
% 99.35/14.30 thf(f301,plain,(
% 99.35/14.30 ( ! [X2 : $i,X3 : reg,X1 : $i] : (($false = (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X3) => (c @ Y0 @ spain)))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X3) => (c @ Y0 @ france))))))) | ($false = ((fool @ X1 @ X2)))) )),
% 99.35/14.30 inference(beta-eta_normalization,[],[f300])).
% 99.35/14.30 thf(f302,plain,(
% 99.35/14.30 ( ! [X2 : $i,X3 : reg,X1 : $i] : (($false = ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X3) => (c @ Y0 @ france)))))) | ($false = ((fool @ X1 @ X2))) | ($false = ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X3) => (c @ Y0 @ spain))))))) )),
% 99.35/14.30 inference(and_proxy_clausification,[],[f301])).
% 99.35/14.30 thf(f303,plain,(
% 99.35/14.30 ( ! [X2 : $i,X3 : reg,X1 : $i] : (($false = (((^[Y0 : reg]: ((c @ Y0 @ X3) => (c @ Y0 @ france))) @ (sK6 @ X3)))) | ($false = ((fool @ X1 @ X2))) | ($false = ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X3) => (c @ Y0 @ spain))))))) )),
% 99.35/14.30 inference(sigma_proxy_clausification,[],[f302])).
% 99.35/14.30 thf(f304,plain,(
% 99.35/14.30 ( ! [X2 : $i,X3 : reg,X1 : $i] : (($false = (((^[Y0 : reg]: ((c @ Y0 @ X3) => (c @ Y0 @ france))) @ (sK6 @ X3)))) | ($false = ((fool @ X1 @ X2))) | ($false = (((^[Y0 : reg]: ((c @ Y0 @ X3) => (c @ Y0 @ spain))) @ (sK7 @ X3))))) )),
% 99.35/14.30 inference(sigma_proxy_clausification,[],[f303])).
% 99.35/14.30 thf(f305,plain,(
% 99.35/14.30 ( ! [X2 : $i,X3 : reg,X1 : $i] : (($false = (((c @ (sK6 @ X3) @ X3) => (c @ (sK6 @ X3) @ france)))) | ($false = ((fool @ X1 @ X2))) | ($false = (((c @ (sK7 @ X3) @ X3) => (c @ (sK7 @ X3) @ spain))))) )),
% 99.35/14.30 inference(beta-eta_normalization,[],[f304])).
% 99.35/14.30 thf(f306,plain,(
% 99.35/14.30 ( ! [X2 : $i,X3 : reg,X1 : $i] : (($false = ((c @ (sK6 @ X3) @ france))) | ($false = ((fool @ X1 @ X2))) | ($false = (((c @ (sK7 @ X3) @ X3) => (c @ (sK7 @ X3) @ spain))))) )),
% 99.35/14.30 inference(imp_proxy_clausification,[],[f305])).
% 99.35/14.30 thf(f307,plain,(
% 99.35/14.30 ( ! [X2 : $i,X3 : reg,X1 : $i] : (($true = ((c @ (sK6 @ X3) @ X3))) | ($false = ((fool @ X1 @ X2))) | ($false = (((c @ (sK7 @ X3) @ X3) => (c @ (sK7 @ X3) @ spain))))) )),
% 99.35/14.30 inference(imp_proxy_clausification,[],[f305])).
% 99.35/14.30 thf(f308,plain,(
% 99.35/14.30 ( ! [X2 : $i,X3 : reg,X1 : $i] : (($true = ((c @ (sK6 @ X3) @ X3))) | ($false = ((fool @ X1 @ X2))) | ($false = ((c @ (sK7 @ X3) @ spain)))) )),
% 99.35/14.30 inference(imp_proxy_clausification,[],[f307])).
% 99.35/14.30 thf(f309,plain,(
% 99.35/14.30 ( ! [X2 : $i,X3 : reg,X1 : $i] : (($true = ((c @ (sK6 @ X3) @ X3))) | ($false = ((fool @ X1 @ X2))) | ($true = ((c @ (sK7 @ X3) @ X3)))) )),
% 99.35/14.30 inference(imp_proxy_clausification,[],[f307])).
% 99.35/14.30 thf(f310,plain,(
% 99.35/14.30 ( ! [X2 : $i,X3 : reg,X1 : $i] : (($false = ((c @ (sK6 @ X3) @ france))) | ($false = ((fool @ X1 @ X2))) | ($false = ((c @ (sK7 @ X3) @ spain)))) )),
% 99.35/14.30 inference(imp_proxy_clausification,[],[f306])).
% 99.35/14.30 thf(f311,plain,(
% 99.35/14.30 ( ! [X2 : $i,X3 : reg,X1 : $i] : (($false = ((c @ (sK6 @ X3) @ france))) | ($false = ((fool @ X1 @ X2))) | ($true = ((c @ (sK7 @ X3) @ X3)))) )),
% 99.35/14.30 inference(imp_proxy_clausification,[],[f306])).
% 99.35/14.30 thf(f312,plain,(
% 99.35/14.30 ($true = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | (((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ catalunya) => (c @ Y2 @ spain)))) & (~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ spain) => (c @ Y2 @ catalunya)))))) & (?? @ reg @ (^[Y2 : reg]: (((c @ Y2 @ catalunya) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ catalunya))))))))) & ((c @ Y2 @ spain) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ spain))))))))))))))))))))),
% 99.35/14.30 inference(beta-eta_normalization,[],[f210])).
% 99.35/14.30 thf(f313,plain,(
% 99.35/14.30 ( ! [X1 : $i] : (($true = (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | (((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ catalunya) => (c @ Y2 @ spain)))) & (~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ spain) => (c @ Y2 @ catalunya)))))) & (?? @ reg @ (^[Y2 : reg]: (((c @ Y2 @ catalunya) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ catalunya))))))))) & ((c @ Y2 @ spain) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ spain))))))))))))))))) @ X1)))) )),
% 99.35/14.30 inference(pi_proxy_clausification,[],[f312])).
% 99.35/14.30 thf(f314,plain,(
% 99.35/14.30 ( ! [X1 : $i] : (($true = ((!! @ $i @ (^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | (((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ catalunya) => (c @ Y1 @ spain)))) & (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ spain) => (c @ Y1 @ catalunya)))))) & (?? @ reg @ (^[Y1 : reg]: (((c @ Y1 @ catalunya) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ catalunya))))))))) & ((c @ Y1 @ spain) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain))))))))))))))))))) )),
% 99.35/14.30 inference(beta-eta_normalization,[],[f313])).
% 99.35/14.30 thf(f315,plain,(
% 99.35/14.30 ( ! [X2 : $i,X1 : $i] : (($true = (((^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | (((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ catalunya) => (c @ Y1 @ spain)))) & (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ spain) => (c @ Y1 @ catalunya)))))) & (?? @ reg @ (^[Y1 : reg]: (((c @ Y1 @ catalunya) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ catalunya))))))))) & ((c @ Y1 @ spain) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain))))))))))))))) @ X2)))) )),
% 99.35/14.30 inference(pi_proxy_clausification,[],[f314])).
% 99.35/14.30 thf(f316,plain,(
% 99.35/14.30 ( ! [X2 : $i,X1 : $i] : (($true = (((~ (a @ X1 @ X2)) | (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya)))))) & (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ catalunya) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya))))))))) & ((c @ Y0 @ spain) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain))))))))))))))))) )),
% 99.35/14.30 inference(beta-eta_normalization,[],[f315])).
% 99.35/14.30 thf(f317,plain,(
% 99.35/14.30 ( ! [X2 : $i,X1 : $i] : (($true = ((((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya)))))) & (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ catalunya) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya))))))))) & ((c @ Y0 @ spain) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain))))))))))))))) | ($true = ((~ (a @ X1 @ X2))))) )),
% 99.35/14.30 inference(or_proxy_clausification,[],[f316])).
% 99.35/14.30 thf(f319,plain,(
% 99.35/14.30 ( ! [X2 : $i,X1 : $i] : (($true = (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya)))))))) | ($true = ((~ (a @ X1 @ X2))))) )),
% 99.35/14.30 inference(and_proxy_clausification,[],[f317])).
% 99.35/14.30 thf(f321,plain,(
% 99.35/14.30 ( ! [X2 : $i,X1 : $i] : (($true = ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))))) | ($true = ((~ (a @ X1 @ X2))))) )),
% 99.35/14.30 inference(and_proxy_clausification,[],[f319])).
% 99.35/14.30 thf(f322,plain,(
% 99.35/14.30 ( ! [X2 : $i,X3 : reg,X1 : $i] : (($true = (((^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain))) @ X3))) | ($true = ((~ (a @ X1 @ X2))))) )),
% 99.35/14.30 inference(pi_proxy_clausification,[],[f321])).
% 99.35/14.30 thf(f323,plain,(
% 99.35/14.30 ( ! [X2 : $i,X3 : reg,X1 : $i] : (($true = (((^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain))) @ X3))) | ($false = ((a @ X1 @ X2)))) )),
% 99.35/14.30 inference(not_proxy_clausification,[],[f322])).
% 99.35/14.30 thf(f324,plain,(
% 99.35/14.30 ( ! [X2 : $i,X3 : reg,X1 : $i] : (($true = (((c @ X3 @ catalunya) => (c @ X3 @ spain)))) | ($false = ((a @ X1 @ X2)))) )),
% 99.35/14.30 inference(beta-eta_normalization,[],[f323])).
% 99.35/14.30 thf(f325,plain,(
% 99.35/14.30 ( ! [X2 : $i,X3 : reg,X1 : $i] : (($false = ((c @ X3 @ catalunya))) | ($false = ((a @ X1 @ X2))) | ($true = ((c @ X3 @ spain)))) )),
% 99.35/14.30 inference(imp_proxy_clausification,[],[f324])).
% 99.35/14.30 thf(f406,plain,(
% 99.35/14.30 ($true = ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (fool @ Y0 @ Y2)) | (Y1 @ Y2))))) | (Y1 @ Y0))))))))),
% 99.35/14.30 inference(beta-eta_normalization,[],[f207])).
% 99.35/14.30 thf(f407,plain,(
% 99.35/14.30 ( ! [X1 : $i] : (($true = (((^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (fool @ Y0 @ Y2)) | (Y1 @ Y2))))) | (Y1 @ Y0))))) @ X1)))) )),
% 99.35/14.30 inference(pi_proxy_clausification,[],[f406])).
% 99.35/14.30 thf(f408,plain,(
% 99.35/14.30 ( ! [X1 : $i] : (($true = ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (fool @ X1 @ Y1)) | (Y0 @ Y1))))) | (Y0 @ X1))))))) )),
% 99.35/14.30 inference(beta-eta_normalization,[],[f407])).
% 99.35/14.30 thf(f409,plain,(
% 99.35/14.30 ( ! [X2 : ($i > $o),X1 : $i] : (($true = (((^[Y0 : $i > $o]: ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (fool @ X1 @ Y1)) | (Y0 @ Y1))))) | (Y0 @ X1))) @ X2)))) )),
% 99.35/14.30 inference(pi_proxy_clausification,[],[f408])).
% 99.35/14.30 thf(f410,plain,(
% 99.35/14.30 ( ! [X2 : ($i > $o),X1 : $i] : (($true = (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (fool @ X1 @ Y0)) | (X2 @ Y0))))) | (X2 @ X1))))) )),
% 99.35/14.30 inference(beta-eta_normalization,[],[f409])).
% 99.35/14.30 thf(f411,plain,(
% 99.35/14.30 ( ! [X2 : ($i > $o),X1 : $i] : (($true = ((X2 @ X1))) | ($true = ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (fool @ X1 @ Y0)) | (X2 @ Y0)))))))) )),
% 99.35/14.30 inference(or_proxy_clausification,[],[f410])).
% 99.35/14.30 thf(f412,plain,(
% 99.35/14.30 ( ! [X2 : ($i > $o),X1 : $i] : (($true = ((X2 @ X1))) | ($false = ((!! @ $i @ (^[Y0 : $i]: ((~ (fool @ X1 @ Y0)) | (X2 @ Y0))))))) )),
% 99.35/14.30 inference(not_proxy_clausification,[],[f411])).
% 99.35/14.30 thf(f413,plain,(
% 99.35/14.30 ( ! [X2 : ($i > $o),X1 : $i] : (($true = ((X2 @ X1))) | ($false = (((^[Y0 : $i]: ((~ (fool @ X1 @ Y0)) | (X2 @ Y0))) @ (sK16 @ X1 @ X2))))) )),
% 99.35/14.30 inference(sigma_proxy_clausification,[],[f412])).
% 99.35/14.30 thf(f414,plain,(
% 99.35/14.30 ( ! [X2 : ($i > $o),X1 : $i] : (($true = ((X2 @ X1))) | ($false = (((~ (fool @ X1 @ (sK16 @ X1 @ X2))) | (X2 @ (sK16 @ X1 @ X2)))))) )),
% 99.35/14.30 inference(beta-eta_normalization,[],[f413])).
% 99.35/14.30 thf(f416,plain,(
% 99.35/14.30 ( ! [X2 : ($i > $o),X1 : $i] : (($true = ((X2 @ X1))) | ($false = ((~ (fool @ X1 @ (sK16 @ X1 @ X2)))))) )),
% 99.35/14.30 inference(or_proxy_clausification,[],[f414])).
% 99.35/14.30 thf(f417,plain,(
% 99.35/14.30 ( ! [X2 : ($i > $o),X1 : $i] : (($true = ((X2 @ X1))) | ($true = ((fool @ X1 @ (sK16 @ X1 @ X2))))) )),
% 99.35/14.30 inference(not_proxy_clausification,[],[f416])).
% 99.35/14.30 thf(f419,definition,(
% 99.35/14.30 spl17_1 <=> ($true = ((a @ sK0 @ sK1)))),
% 99.35/14.30 introduced(definition,[new_symbols(definition,[spl17_1])],[avatar_definition])).
% 99.35/14.30 thf(f421,plain,(
% 99.35/14.30 ($true = ((a @ sK0 @ sK1))) | ~spl17_1),
% 99.35/14.30 inference(avatar_component_clause,[],[f419])).
% 99.35/14.30 thf(f422,plain,(
% 99.35/14.30 spl17_1),
% 99.35/14.30 inference(avatar_split_clause,[],[f221,f419])).
% 99.35/14.30 thf(f430,definition,(
% 99.35/14.30 spl17_4 <=> ! [X1 : reg] : (($false = ((c @ X1 @ sK2))) | ($true = ((c @ X1 @ catalunya))))),
% 99.35/14.30 introduced(definition,[new_symbols(definition,[spl17_4])],[avatar_definition])).
% 99.35/14.30 thf(f431,plain,(
% 99.35/14.30 ( ! [X1 : reg] : (($false = ((c @ X1 @ sK2))) | ($true = ((c @ X1 @ catalunya)))) ) | ~spl17_4),
% 99.35/14.30 inference(avatar_component_clause,[],[f430])).
% 99.35/14.30 thf(f432,plain,(
% 99.35/14.30 spl17_4),
% 99.35/14.30 inference(avatar_split_clause,[],[f228,f430])).
% 99.35/14.30 thf(f437,definition,(
% 99.35/14.30 spl17_6 <=> ! [X1 : reg] : (($false = ((c @ X1 @ sK2))) | ($true = ((c @ X1 @ paris))))),
% 99.35/14.30 introduced(definition,[new_symbols(definition,[spl17_6])],[avatar_definition])).
% 99.35/14.30 thf(f438,plain,(
% 99.35/14.30 ( ! [X1 : reg] : (($false = ((c @ X1 @ sK2))) | ($true = ((c @ X1 @ paris)))) ) | ~spl17_6),
% 99.35/14.30 inference(avatar_component_clause,[],[f437])).
% 99.35/14.30 thf(f439,plain,(
% 99.35/14.30 spl17_6),
% 99.35/14.30 inference(avatar_split_clause,[],[f232,f437])).
% 99.35/14.30 thf(f441,definition,(
% 99.35/14.30 spl17_7 <=> ! [X2 : $i,X1 : $i] : ($false = ((a @ X1 @ X2)))),
% 99.35/14.30 introduced(definition,[new_symbols(definition,[spl17_7])],[avatar_definition])).
% 99.35/14.30 thf(f442,plain,(
% 99.35/14.30 ( ! [X2 : $i,X1 : $i] : (($false = ((a @ X1 @ X2)))) ) | ~spl17_7),
% 99.35/14.30 inference(avatar_component_clause,[],[f441])).
% 99.35/14.30 thf(f450,definition,(
% 99.35/14.30 spl17_10 <=> ! [X3 : reg] : (($false = ((c @ X3 @ paris))) | ($true = ((c @ X3 @ france))))),
% 99.35/14.30 introduced(definition,[new_symbols(definition,[spl17_10])],[avatar_definition])).
% 99.35/14.30 thf(f451,plain,(
% 99.35/14.30 ( ! [X3 : reg] : (($false = ((c @ X3 @ paris))) | ($true = ((c @ X3 @ france)))) ) | ~spl17_10),
% 99.35/14.30 inference(avatar_component_clause,[],[f450])).
% 99.35/14.30 thf(f452,plain,(
% 99.35/14.30 spl17_7 | spl17_10),
% 99.35/14.30 inference(avatar_split_clause,[],[f246,f450,f441])).
% 99.35/14.30 thf(f492,definition,(
% 99.35/14.30 spl17_21 <=> ! [X2 : $i,X1 : $i] : ($false = ((fool @ X1 @ X2)))),
% 99.35/14.30 introduced(definition,[new_symbols(definition,[spl17_21])],[avatar_definition])).
% 99.35/14.30 thf(f493,plain,(
% 99.35/14.30 ( ! [X2 : $i,X1 : $i] : (($false = ((fool @ X1 @ X2)))) ) | ~spl17_21),
% 99.35/14.30 inference(avatar_component_clause,[],[f492])).
% 99.35/14.30 thf(f506,definition,(
% 99.35/14.30 spl17_25 <=> ! [X3 : reg] : (($true = ((c @ (sK6 @ X3) @ X3))) | ($true = ((c @ (sK7 @ X3) @ X3))))),
% 99.35/14.30 introduced(definition,[new_symbols(definition,[spl17_25])],[avatar_definition])).
% 99.35/14.30 thf(f507,plain,(
% 99.35/14.30 ( ! [X3 : reg] : (($true = ((c @ (sK7 @ X3) @ X3))) | ($true = ((c @ (sK6 @ X3) @ X3)))) ) | ~spl17_25),
% 99.35/14.30 inference(avatar_component_clause,[],[f506])).
% 99.35/14.30 thf(f508,plain,(
% 99.35/14.30 spl17_21 | spl17_25),
% 99.35/14.30 inference(avatar_split_clause,[],[f309,f506,f492])).
% 99.35/14.30 thf(f513,definition,(
% 99.35/14.30 spl17_27 <=> ! [X3 : reg] : (($true = ((c @ (sK6 @ X3) @ X3))) | ($false = ((c @ (sK7 @ X3) @ spain))))),
% 99.35/14.30 introduced(definition,[new_symbols(definition,[spl17_27])],[avatar_definition])).
% 99.35/14.30 thf(f514,plain,(
% 99.35/14.30 ( ! [X3 : reg] : (($true = ((c @ (sK6 @ X3) @ X3))) | ($false = ((c @ (sK7 @ X3) @ spain)))) ) | ~spl17_27),
% 99.35/14.30 inference(avatar_component_clause,[],[f513])).
% 99.35/14.30 thf(f515,plain,(
% 99.35/14.30 spl17_21 | spl17_27),
% 99.35/14.30 inference(avatar_split_clause,[],[f308,f513,f492])).
% 99.35/14.30 thf(f520,definition,(
% 99.35/14.30 spl17_29 <=> ! [X3 : reg] : (($false = ((c @ (sK6 @ X3) @ france))) | ($true = ((c @ (sK7 @ X3) @ X3))))),
% 99.35/14.30 introduced(definition,[new_symbols(definition,[spl17_29])],[avatar_definition])).
% 99.35/14.30 thf(f521,plain,(
% 99.35/14.30 ( ! [X3 : reg] : (($true = ((c @ (sK7 @ X3) @ X3))) | ($false = ((c @ (sK6 @ X3) @ france)))) ) | ~spl17_29),
% 99.35/14.30 inference(avatar_component_clause,[],[f520])).
% 99.35/14.30 thf(f522,plain,(
% 99.35/14.30 spl17_21 | spl17_29),
% 99.35/14.30 inference(avatar_split_clause,[],[f311,f520,f492])).
% 99.35/14.30 thf(f524,definition,(
% 99.35/14.30 spl17_30 <=> ! [X3 : reg] : (($false = ((c @ (sK6 @ X3) @ france))) | ($false = ((c @ (sK7 @ X3) @ spain))))),
% 99.35/14.30 introduced(definition,[new_symbols(definition,[spl17_30])],[avatar_definition])).
% 99.35/14.30 thf(f525,plain,(
% 99.35/14.30 ( ! [X3 : reg] : (($false = ((c @ (sK7 @ X3) @ spain))) | ($false = ((c @ (sK6 @ X3) @ france)))) ) | ~spl17_30),
% 99.35/14.30 inference(avatar_component_clause,[],[f524])).
% 99.35/14.30 thf(f526,plain,(
% 99.35/14.30 spl17_21 | spl17_30),
% 99.35/14.30 inference(avatar_split_clause,[],[f310,f524,f492])).
% 99.35/14.30 thf(f534,definition,(
% 99.35/14.30 spl17_33 <=> ! [X3 : reg] : (($false = ((c @ X3 @ catalunya))) | ($true = ((c @ X3 @ spain))))),
% 99.35/14.30 introduced(definition,[new_symbols(definition,[spl17_33])],[avatar_definition])).
% 99.35/14.30 thf(f535,plain,(
% 99.35/14.30 ( ! [X3 : reg] : (($true = ((c @ X3 @ spain))) | ($false = ((c @ X3 @ catalunya)))) ) | ~spl17_33),
% 99.35/14.30 inference(avatar_component_clause,[],[f534])).
% 99.35/14.30 thf(f536,plain,(
% 99.35/14.30 spl17_7 | spl17_33),
% 99.35/14.30 inference(avatar_split_clause,[],[f325,f534,f441])).
% 99.35/14.30 thf(f614,definition,(
% 99.35/14.30 spl17_54 <=> ! [X2 : ($i > $o),X3 : $i] : ($true = ((X2 @ X3)))),
% 99.35/14.30 introduced(definition,[new_symbols(definition,[spl17_54])],[avatar_definition])).
% 99.35/14.30 thf(f615,plain,(
% 99.35/14.30 ( ! [X2 : ($i > $o),X3 : $i] : (($true = ((X2 @ X3)))) ) | ~spl17_54),
% 99.35/14.30 inference(avatar_component_clause,[],[f614])).
% 99.35/14.30 thf(f648,definition,(
% 99.35/14.30 spl17_64 <=> ! [X2 : ($i > $o),X1 : $i] : (($true = ((X2 @ X1))) | ($true = ((fool @ X1 @ (sK16 @ X1 @ X2)))))),
% 99.35/14.30 introduced(definition,[new_symbols(definition,[spl17_64])],[avatar_definition])).
% 99.35/14.30 thf(f649,plain,(
% 99.35/14.30 ( ! [X2 : ($i > $o),X1 : $i] : (($true = ((fool @ X1 @ (sK16 @ X1 @ X2)))) | ($true = ((X2 @ X1)))) ) | ~spl17_64),
% 99.35/14.30 inference(avatar_component_clause,[],[f648])).
% 99.35/14.30 thf(f650,plain,(
% 99.35/14.30 spl17_64),
% 99.35/14.30 inference(avatar_split_clause,[],[f417,f648])).
% 99.35/14.30 thf(f662,definition,(
% 99.35/14.30 spl17_68 <=> ! [X0 : reg,X1 : reg] : ((((c @ X1 @ X0)) = $true) | (((c @ X0 @ X1)) != $true))),
% 99.35/14.30 introduced(definition,[new_symbols(definition,[spl17_68])],[avatar_definition])).
% 99.35/14.30 thf(f663,plain,(
% 99.35/14.30 ( ! [X0 : reg,X1 : reg] : ((((c @ X0 @ X1)) != $true) | (((c @ X1 @ X0)) = $true)) ) | ~spl17_68),
% 99.35/14.30 inference(avatar_component_clause,[],[f662])).
% 99.35/14.30 thf(f664,plain,(
% 99.35/14.30 spl17_68),
% 99.35/14.30 inference(avatar_split_clause,[],[f172,f662])).
% 99.35/14.30 thf(f681,definition,(
% 99.35/14.30 spl17_73 <=> ! [X0 : $o] : (($true = X0) | ($false = X0))),
% 99.35/14.30 introduced(definition,[new_symbols(definition,[spl17_73])],[avatar_definition])).
% 99.35/14.30 thf(f682,plain,(
% 99.35/14.30 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) ) | ~spl17_73),
% 99.35/14.30 inference(avatar_component_clause,[],[f681])).
% 99.35/14.30 thf(f683,plain,(
% 99.35/14.30 spl17_73),
% 99.35/14.30 inference(avatar_split_clause,[],[f190,f681])).
% 99.35/14.30 thf(f728,plain,(
% 99.35/14.30 ( ! [X3 : $i] : (($true = (((^[Y0 : $i]: ($false)) @ X3)))) ) | ~spl17_54),
% 99.35/14.30 inference(primitive_instantiation,[],[f615])).
% 99.35/14.30 thf(f733,plain,(
% 99.35/14.30 ($true = $false) | ~spl17_54),
% 99.35/14.30 inference(beta-eta_normalization,[],[f728])).
% 99.35/14.30 thf(f734,plain,(
% 99.35/14.30 $false | ~spl17_54),
% 99.35/14.30 inference(trivial_inequality_removal,[],[f733])).
% 99.35/14.30 thf(f735,plain,(
% 99.35/14.30 ~spl17_54),
% 99.35/14.30 inference(avatar_contradiction_clause,[],[f734])).
% 99.35/14.30 thf(f750,plain,(
% 99.35/14.30 ( ! [X2 : ($i > $o),X1 : $i] : (($true = $false) | ($true = ((X2 @ X1)))) ) | (~spl17_21 | ~spl17_64)),
% 99.35/14.30 inference(forward_demodulation,[],[f649,f493])).
% 99.35/14.30 thf(f751,plain,(
% 99.35/14.30 ( ! [X2 : ($i > $o),X1 : $i] : (($true = ((X2 @ X1)))) ) | (~spl17_21 | ~spl17_64)),
% 99.35/14.30 inference(trivial_inequality_removal,[],[f750])).
% 99.35/14.30 thf(f752,plain,(
% 99.35/14.30 spl17_54 | ~spl17_21 | ~spl17_64),
% 99.35/14.30 inference(avatar_split_clause,[],[f751,f648,f492,f614])).
% 99.35/14.30 thf(f755,plain,(
% 99.35/14.30 ($true = $false) | (~spl17_1 | ~spl17_7)),
% 99.35/14.30 inference(constrained_superposition,[],[f442,f421])).
% 99.35/14.30 thf(f761,plain,(
% 99.35/14.30 $false | (~spl17_1 | ~spl17_7)),
% 99.35/14.30 inference(trivial_inequality_removal,[],[f755])).
% 99.35/14.30 thf(f762,plain,(
% 99.35/14.30 ~spl17_1 | ~spl17_7),
% 99.35/14.30 inference(avatar_contradiction_clause,[],[f761])).
% 99.35/14.30 thf(f1287,plain,(
% 99.35/14.30 ( ! [X0 : reg] : (($true != $true) | ($true = ((c @ spain @ X0))) | ($false = ((c @ X0 @ catalunya)))) ) | (~spl17_33 | ~spl17_68)),
% 99.35/14.30 inference(constrained_superposition,[],[f663,f535])).
% 99.35/14.30 thf(f1293,plain,(
% 99.35/14.30 ( ! [X0 : reg,X1 : reg] : (($true != $true) | (((c @ X1 @ X0)) = $true) | (((c @ X0 @ X1)) = $false)) ) | (~spl17_68 | ~spl17_73)),
% 99.35/14.30 inference(constrained_superposition,[],[f663,f682])).
% 99.35/14.30 thf(f1294,plain,(
% 99.35/14.30 ( ! [X0 : reg,X1 : reg] : ((((c @ X1 @ X0)) = $true) | (((c @ X0 @ X1)) = $false)) ) | (~spl17_68 | ~spl17_73)),
% 99.35/14.30 inference(trivial_inequality_removal,[],[f1293])).
% 99.35/14.30 thf(f1296,plain,(
% 99.35/14.30 ( ! [X0 : reg] : (($true = ((c @ spain @ X0))) | ($false = ((c @ X0 @ catalunya)))) ) | (~spl17_33 | ~spl17_68)),
% 99.35/14.30 inference(trivial_inequality_removal,[],[f1287])).
% 99.35/14.30 thf(f1309,definition,(
% 99.35/14.30 spl17_106 <=> ! [X0 : reg,X1 : reg] : ((((c @ X1 @ X0)) = $true) | (((c @ X0 @ X1)) = $false))),
% 99.35/14.30 introduced(definition,[new_symbols(definition,[spl17_106])],[avatar_definition])).
% 99.35/14.30 thf(f1310,plain,(
% 99.35/14.30 ( ! [X0 : reg,X1 : reg] : ((((c @ X1 @ X0)) = $true) | (((c @ X0 @ X1)) = $false)) ) | ~spl17_106),
% 99.35/14.30 inference(avatar_component_clause,[],[f1309])).
% 99.35/14.30 thf(f1311,plain,(
% 99.35/14.30 spl17_106 | ~spl17_68 | ~spl17_73),
% 99.35/14.30 inference(avatar_split_clause,[],[f1294,f681,f662,f1309])).
% 99.35/14.30 thf(f1321,definition,(
% 99.35/14.30 spl17_109 <=> ! [X0 : reg] : (($true = ((c @ spain @ X0))) | ($false = ((c @ X0 @ catalunya))))),
% 99.35/14.30 introduced(definition,[new_symbols(definition,[spl17_109])],[avatar_definition])).
% 99.35/14.30 thf(f1322,plain,(
% 99.35/14.30 ( ! [X0 : reg] : (($true = ((c @ spain @ X0))) | ($false = ((c @ X0 @ catalunya)))) ) | ~spl17_109),
% 99.35/14.30 inference(avatar_component_clause,[],[f1321])).
% 99.35/14.30 thf(f1323,plain,(
% 99.35/14.30 spl17_109 | ~spl17_33 | ~spl17_68),
% 99.35/14.30 inference(avatar_split_clause,[],[f1296,f662,f534,f1321])).
% 99.35/14.30 thf(f1513,plain,(
% 99.35/14.30 ( ! [X0 : reg] : (($true = $false) | ($true = ((c @ X0 @ paris))) | ($false = ((c @ sK2 @ X0)))) ) | (~spl17_6 | ~spl17_106)),
% 99.35/14.30 inference(constrained_superposition,[],[f438,f1310])).
% 99.35/14.30 thf(f1514,plain,(
% 99.35/14.30 ( ! [X0 : reg] : (($true = $false) | ($true = ((c @ X0 @ catalunya))) | ($false = ((c @ sK2 @ X0)))) ) | (~spl17_4 | ~spl17_106)),
% 99.35/14.30 inference(constrained_superposition,[],[f431,f1310])).
% 99.35/14.30 thf(f1542,plain,(
% 99.35/14.30 ( ! [X0 : reg] : (($true = ((c @ X0 @ catalunya))) | ($false = ((c @ sK2 @ X0)))) ) | (~spl17_4 | ~spl17_106)),
% 99.35/14.30 inference(trivial_inequality_removal,[],[f1514])).
% 99.35/14.30 thf(f1543,plain,(
% 99.35/14.30 ( ! [X0 : reg] : (($true = ((c @ X0 @ paris))) | ($false = ((c @ sK2 @ X0)))) ) | (~spl17_6 | ~spl17_106)),
% 99.35/14.30 inference(trivial_inequality_removal,[],[f1513])).
% 99.35/14.30 thf(f1574,definition,(
% 99.35/14.30 spl17_123 <=> ! [X0 : reg] : (($true = ((c @ X0 @ catalunya))) | ($false = ((c @ sK2 @ X0))))),
% 99.35/14.30 introduced(definition,[new_symbols(definition,[spl17_123])],[avatar_definition])).
% 99.35/14.30 thf(f1575,plain,(
% 99.35/14.30 ( ! [X0 : reg] : (($true = ((c @ X0 @ catalunya))) | ($false = ((c @ sK2 @ X0)))) ) | ~spl17_123),
% 99.35/14.30 inference(avatar_component_clause,[],[f1574])).
% 99.35/14.30 thf(f1576,plain,(
% 99.35/14.30 spl17_123 | ~spl17_4 | ~spl17_106),
% 99.35/14.30 inference(avatar_split_clause,[],[f1542,f1309,f430,f1574])).
% 99.35/14.30 thf(f1578,definition,(
% 99.35/14.30 spl17_124 <=> ! [X0 : reg] : (($true = ((c @ X0 @ paris))) | ($false = ((c @ sK2 @ X0))))),
% 99.35/14.30 introduced(definition,[new_symbols(definition,[spl17_124])],[avatar_definition])).
% 99.35/14.30 thf(f1579,plain,(
% 99.35/14.30 ( ! [X0 : reg] : (($true = ((c @ X0 @ paris))) | ($false = ((c @ sK2 @ X0)))) ) | ~spl17_124),
% 99.35/14.30 inference(avatar_component_clause,[],[f1578])).
% 99.35/14.30 thf(f1580,plain,(
% 99.35/14.30 spl17_124 | ~spl17_6 | ~spl17_106),
% 99.35/14.30 inference(avatar_split_clause,[],[f1543,f1309,f437,f1578])).
% 99.35/14.30 thf(f1834,plain,(
% 99.35/14.30 ( ! [X0 : reg] : (($true = $false) | ($true = ((c @ spain @ X0))) | ($false = ((c @ sK2 @ X0)))) ) | (~spl17_109 | ~spl17_123)),
% 99.35/14.30 inference(constrained_superposition,[],[f1322,f1575])).
% 99.35/14.30 thf(f1852,plain,(
% 99.35/14.30 ( ! [X0 : reg] : (($true = ((c @ spain @ X0))) | ($false = ((c @ sK2 @ X0)))) ) | (~spl17_109 | ~spl17_123)),
% 99.35/14.30 inference(trivial_inequality_removal,[],[f1834])).
% 99.35/14.30 thf(f1872,definition,(
% 99.35/14.30 spl17_139 <=> ! [X0 : reg] : (($true = ((c @ spain @ X0))) | ($false = ((c @ sK2 @ X0))))),
% 99.35/14.30 introduced(definition,[new_symbols(definition,[spl17_139])],[avatar_definition])).
% 99.35/14.30 thf(f1873,plain,(
% 99.35/14.30 ( ! [X0 : reg] : (($false = ((c @ sK2 @ X0))) | ($true = ((c @ spain @ X0)))) ) | ~spl17_139),
% 99.35/14.30 inference(avatar_component_clause,[],[f1872])).
% 99.35/14.30 thf(f1874,plain,(
% 99.35/14.30 spl17_139 | ~spl17_109 | ~spl17_123),
% 99.35/14.30 inference(avatar_split_clause,[],[f1852,f1574,f1321,f1872])).
% 99.35/14.30 thf(f1925,plain,(
% 99.35/14.30 ( ! [X0 : reg] : (($true = $false) | ($true = ((c @ X0 @ france))) | ($false = ((c @ sK2 @ X0)))) ) | (~spl17_10 | ~spl17_124)),
% 99.35/14.30 inference(constrained_superposition,[],[f451,f1579])).
% 99.35/14.30 thf(f1943,plain,(
% 99.35/14.30 ( ! [X0 : reg] : (($true = ((c @ X0 @ france))) | ($false = ((c @ sK2 @ X0)))) ) | (~spl17_10 | ~spl17_124)),
% 99.35/14.30 inference(trivial_inequality_removal,[],[f1925])).
% 99.35/14.30 thf(f1963,definition,(
% 99.35/14.30 spl17_143 <=> ! [X0 : reg] : (($true = ((c @ X0 @ france))) | ($false = ((c @ sK2 @ X0))))),
% 99.35/14.30 introduced(definition,[new_symbols(definition,[spl17_143])],[avatar_definition])).
% 99.35/14.30 thf(f1964,plain,(
% 99.35/14.30 ( ! [X0 : reg] : (($true = ((c @ X0 @ france))) | ($false = ((c @ sK2 @ X0)))) ) | ~spl17_143),
% 99.35/14.30 inference(avatar_component_clause,[],[f1963])).
% 99.35/14.30 thf(f1965,plain,(
% 99.35/14.30 spl17_143 | ~spl17_10 | ~spl17_124),
% 99.35/14.30 inference(avatar_split_clause,[],[f1943,f1578,f450,f1963])).
% 99.35/14.30 thf(f2109,plain,(
% 99.35/14.30 ( ! [X0 : reg] : (($true = $false) | ($false = ((c @ X0 @ sK2))) | ($true = ((c @ spain @ X0)))) ) | (~spl17_106 | ~spl17_139)),
% 99.35/14.30 inference(constrained_superposition,[],[f1310,f1873])).
% 99.35/14.30 thf(f2123,plain,(
% 99.35/14.30 ( ! [X0 : reg] : (($false = ((c @ X0 @ sK2))) | ($true = ((c @ spain @ X0)))) ) | (~spl17_106 | ~spl17_139)),
% 99.35/14.30 inference(trivial_inequality_removal,[],[f2109])).
% 99.35/14.30 thf(f2135,definition,(
% 99.35/14.30 spl17_149 <=> ! [X0 : reg] : (($false = ((c @ X0 @ sK2))) | ($true = ((c @ spain @ X0))))),
% 99.35/14.30 introduced(definition,[new_symbols(definition,[spl17_149])],[avatar_definition])).
% 99.35/14.30 thf(f2136,plain,(
% 99.35/14.30 ( ! [X0 : reg] : (($false = ((c @ X0 @ sK2))) | ($true = ((c @ spain @ X0)))) ) | ~spl17_149),
% 99.35/14.30 inference(avatar_component_clause,[],[f2135])).
% 99.35/14.30 thf(f2137,plain,(
% 99.35/14.30 spl17_149 | ~spl17_106 | ~spl17_139),
% 99.35/14.30 inference(avatar_split_clause,[],[f2123,f1872,f1309,f2135])).
% 99.35/14.30 thf(f2190,plain,(
% 99.35/14.30 ( ! [X0 : reg] : (($true = $false) | ($false = ((c @ X0 @ sK2))) | ($true = ((c @ X0 @ france)))) ) | (~spl17_106 | ~spl17_143)),
% 99.35/14.30 inference(constrained_superposition,[],[f1310,f1964])).
% 99.35/14.30 thf(f2204,plain,(
% 99.35/14.30 ( ! [X0 : reg] : (($false = ((c @ X0 @ sK2))) | ($true = ((c @ X0 @ france)))) ) | (~spl17_106 | ~spl17_143)),
% 99.35/14.30 inference(trivial_inequality_removal,[],[f2190])).
% 99.35/14.30 thf(f2219,definition,(
% 99.35/14.30 spl17_151 <=> ! [X0 : reg] : (($false = ((c @ X0 @ sK2))) | ($true = ((c @ X0 @ france))))),
% 99.35/14.30 introduced(definition,[new_symbols(definition,[spl17_151])],[avatar_definition])).
% 99.35/14.30 thf(f2220,plain,(
% 99.35/14.30 ( ! [X0 : reg] : (($false = ((c @ X0 @ sK2))) | ($true = ((c @ X0 @ france)))) ) | ~spl17_151),
% 99.35/14.30 inference(avatar_component_clause,[],[f2219])).
% 99.35/14.30 thf(f2221,plain,(
% 99.35/14.30 spl17_151 | ~spl17_106 | ~spl17_143),
% 99.35/14.30 inference(avatar_split_clause,[],[f2204,f1963,f1309,f2219])).
% 99.35/14.30 thf(f2359,plain,(
% 99.35/14.30 ( ! [X0 : reg] : (($true = $false) | ($true = ((c @ X0 @ spain))) | ($false = ((c @ X0 @ sK2)))) ) | (~spl17_106 | ~spl17_149)),
% 99.35/14.30 inference(constrained_superposition,[],[f1310,f2136])).
% 99.35/14.30 thf(f2362,plain,(
% 99.35/14.30 ( ! [X0 : reg] : (($true = ((c @ X0 @ spain))) | ($false = ((c @ X0 @ sK2)))) ) | (~spl17_106 | ~spl17_149)),
% 99.35/14.30 inference(trivial_inequality_removal,[],[f2359])).
% 99.35/14.30 thf(f2376,definition,(
% 99.35/14.30 spl17_155 <=> ! [X0 : reg] : (($true = ((c @ X0 @ spain))) | ($false = ((c @ X0 @ sK2))))),
% 99.35/14.30 introduced(definition,[new_symbols(definition,[spl17_155])],[avatar_definition])).
% 99.35/14.30 thf(f2377,plain,(
% 99.35/14.30 ( ! [X0 : reg] : (($false = ((c @ X0 @ sK2))) | ($true = ((c @ X0 @ spain)))) ) | ~spl17_155),
% 99.35/14.30 inference(avatar_component_clause,[],[f2376])).
% 99.35/14.30 thf(f2379,plain,(
% 99.35/14.30 spl17_155 | ~spl17_106 | ~spl17_149),
% 99.35/14.30 inference(avatar_split_clause,[],[f2362,f2135,f1309,f2376])).
% 99.35/14.30 thf(f5613,plain,(
% 99.35/14.30 ($true = $false) | ($true = ((c @ (sK6 @ sK2) @ sK2))) | ($true = ((c @ (sK7 @ sK2) @ spain))) | (~spl17_25 | ~spl17_155)),
% 99.35/14.30 inference(constrained_superposition,[],[f507,f2377])).
% 99.35/14.30 thf(f5651,plain,(
% 99.35/14.30 ($true = ((c @ (sK6 @ sK2) @ sK2))) | ($true = ((c @ (sK7 @ sK2) @ spain))) | (~spl17_25 | ~spl17_155)),
% 99.35/14.30 inference(trivial_inequality_removal,[],[f5613])).
% 99.35/14.30 thf(f5663,definition,(
% 99.35/14.30 spl17_402 <=> ($true = ((c @ (sK6 @ sK2) @ sK2)))),
% 99.35/14.30 introduced(definition,[new_symbols(definition,[spl17_402])],[avatar_definition])).
% 99.35/14.30 thf(f5664,plain,(
% 99.35/14.30 ($true != ((c @ (sK6 @ sK2) @ sK2))) | spl17_402),
% 99.35/14.30 inference(avatar_component_clause,[],[f5663])).
% 99.35/14.30 thf(f5665,plain,(
% 99.35/14.30 ($true = ((c @ (sK6 @ sK2) @ sK2))) | ~spl17_402),
% 99.35/14.30 inference(avatar_component_clause,[],[f5663])).
% 99.35/14.30 thf(f5672,definition,(
% 99.35/14.30 spl17_404 <=> ($true = ((c @ (sK7 @ sK2) @ spain)))),
% 99.35/14.30 introduced(definition,[new_symbols(definition,[spl17_404])],[avatar_definition])).
% 99.35/14.30 thf(f5674,plain,(
% 99.35/14.30 ($true = ((c @ (sK7 @ sK2) @ spain))) | ~spl17_404),
% 99.35/14.30 inference(avatar_component_clause,[],[f5672])).
% 99.35/14.30 thf(f5748,plain,(
% 99.35/14.30 spl17_404 | spl17_402 | ~spl17_25 | ~spl17_155),
% 99.35/14.30 inference(avatar_split_clause,[],[f5651,f2376,f506,f5663,f5672])).
% 99.35/14.30 thf(f10174,plain,(
% 99.35/14.30 ($true = $false) | ($true = ((c @ (sK7 @ sK2) @ spain))) | ($false = ((c @ (sK6 @ sK2) @ france))) | (~spl17_29 | ~spl17_155)),
% 99.35/14.30 inference(constrained_superposition,[],[f2377,f521])).
% 99.35/14.30 thf(f10177,plain,(
% 99.35/14.30 ($true = ((c @ (sK7 @ sK2) @ spain))) | ($false = ((c @ (sK6 @ sK2) @ france))) | (~spl17_29 | ~spl17_155)),
% 99.35/14.30 inference(trivial_inequality_removal,[],[f10174])).
% 99.35/14.30 thf(f10408,definition,(
% 99.35/14.30 spl17_567 <=> ($false = ((c @ (sK6 @ sK2) @ france)))),
% 99.35/14.30 introduced(definition,[new_symbols(definition,[spl17_567])],[avatar_definition])).
% 99.35/14.30 thf(f10410,plain,(
% 99.35/14.30 ($false = ((c @ (sK6 @ sK2) @ france))) | ~spl17_567),
% 99.35/14.30 inference(avatar_component_clause,[],[f10408])).
% 99.35/14.30 thf(f10456,definition,(
% 99.35/14.30 spl17_577 <=> ($true = ((c @ (sK6 @ sK2) @ france)))),
% 99.35/14.30 introduced(definition,[new_symbols(definition,[spl17_577])],[avatar_definition])).
% 99.35/14.30 thf(f10458,plain,(
% 99.35/14.30 ($true = ((c @ (sK6 @ sK2) @ france))) | ~spl17_577),
% 99.35/14.30 inference(avatar_component_clause,[],[f10456])).
% 99.35/14.30 thf(f10623,plain,(
% 99.35/14.30 ($true = $false) | ($true = ((c @ (sK7 @ sK2) @ spain))) | (~spl17_29 | ~spl17_155 | ~spl17_577)),
% 99.35/14.30 inference(forward_demodulation,[],[f10177,f10458])).
% 99.35/14.30 thf(f10624,plain,(
% 99.35/14.30 ($true = ((c @ (sK7 @ sK2) @ spain))) | (~spl17_29 | ~spl17_155 | ~spl17_577)),
% 99.35/14.30 inference(trivial_inequality_removal,[],[f10623])).
% 99.35/14.30 thf(f10628,plain,(
% 99.35/14.30 spl17_404 | ~spl17_29 | ~spl17_155 | ~spl17_577),
% 99.35/14.30 inference(avatar_split_clause,[],[f10624,f10456,f2376,f520,f5672])).
% 99.35/14.30 thf(f13111,plain,(
% 99.35/14.30 ($true = $false) | ($false = ((c @ (sK6 @ sK2) @ france))) | (~spl17_30 | ~spl17_404)),
% 99.35/14.30 inference(constrained_superposition,[],[f525,f5674])).
% 99.35/14.30 thf(f13112,plain,(
% 99.35/14.30 ($false = ((c @ (sK6 @ sK2) @ france))) | (~spl17_30 | ~spl17_404)),
% 99.35/14.30 inference(trivial_inequality_removal,[],[f13111])).
% 99.35/14.30 thf(f13119,plain,(
% 99.35/14.30 spl17_567 | ~spl17_30 | ~spl17_404),
% 99.35/14.30 inference(avatar_split_clause,[],[f13112,f5672,f524,f10408])).
% 99.35/14.30 thf(f14597,plain,(
% 99.35/14.30 ($true = $false) | ($true = ((c @ (sK6 @ sK2) @ france))) | (~spl17_151 | ~spl17_402)),
% 99.35/14.30 inference(constrained_superposition,[],[f5665,f2220])).
% 99.35/14.30 thf(f14633,plain,(
% 99.35/14.30 ($true = ((c @ (sK6 @ sK2) @ france))) | (~spl17_151 | ~spl17_402)),
% 99.35/14.30 inference(trivial_inequality_removal,[],[f14597])).
% 99.35/14.30 thf(f14670,plain,(
% 99.35/14.30 ($true = $false) | (~spl17_151 | ~spl17_402 | ~spl17_567)),
% 99.35/14.30 inference(forward_demodulation,[],[f14633,f10410])).
% 99.35/14.30 thf(f14671,plain,(
% 99.35/14.30 $false | (~spl17_151 | ~spl17_402 | ~spl17_567)),
% 99.35/14.30 inference(trivial_inequality_removal,[],[f14670])).
% 99.35/14.30 thf(f14672,plain,(
% 99.35/14.30 ~spl17_151 | ~spl17_402 | ~spl17_567),
% 99.35/14.30 inference(avatar_contradiction_clause,[],[f14671])).
% 99.35/14.30 thf(f19125,plain,(
% 99.35/14.30 ($true = $false) | ($true = ((c @ (sK6 @ sK2) @ sK2))) | (~spl17_27 | ~spl17_404)),
% 99.35/14.30 inference(constrained_superposition,[],[f514,f5674])).
% 99.35/14.30 thf(f19168,plain,(
% 99.35/14.30 ($true = ((c @ (sK6 @ sK2) @ sK2))) | (~spl17_27 | ~spl17_404)),
% 99.35/14.30 inference(trivial_inequality_removal,[],[f19125])).
% 99.35/14.30 thf(f19221,plain,(
% 99.35/14.30 $false | (~spl17_27 | spl17_402 | ~spl17_404)),
% 99.35/14.30 inference(forward_subsumption_resolution,[],[f19168,f5664])).
% 99.35/14.30 thf(f19222,plain,(
% 99.35/14.30 ~spl17_27 | spl17_402 | ~spl17_404),
% 99.35/14.30 inference(avatar_contradiction_clause,[],[f19221])).
% 99.35/14.30 thf(f19232,plain,(
% 99.35/14.30 ($true = ((c @ (sK6 @ sK2) @ france))) | (~spl17_151 | ~spl17_402)),
% 99.35/14.30 inference(trivial_inequality_removal,[],[f14597])).
% 99.35/14.30 thf(f19264,plain,(
% 99.35/14.30 spl17_577 | ~spl17_151 | ~spl17_402),
% 99.35/14.30 inference(avatar_split_clause,[],[f19232,f5663,f2219,f10456])).
% 99.35/14.30 cnf(s1, plain, spl17_1, inference(sat_conversion,[],[f422])).
% 99.35/14.30 cnf(s2, plain, spl17_4, inference(sat_conversion,[],[f432])).
% 99.35/14.30 cnf(s3, plain, spl17_6, inference(sat_conversion,[],[f439])).
% 99.35/14.30 cnf(s4, plain, spl17_7 | spl17_10, inference(sat_conversion,[],[f452])).
% 99.35/14.30 cnf(s12, plain, spl17_21 | spl17_25, inference(sat_conversion,[],[f508])).
% 99.35/14.30 cnf(s13, plain, spl17_21 | spl17_27, inference(sat_conversion,[],[f515])).
% 99.35/14.30 cnf(s14, plain, spl17_21 | spl17_29, inference(sat_conversion,[],[f522])).
% 99.35/14.30 cnf(s15, plain, spl17_21 | spl17_30, inference(sat_conversion,[],[f526])).
% 99.35/14.30 cnf(s16, plain, spl17_7 | spl17_33, inference(sat_conversion,[],[f536])).
% 99.35/14.30 cnf(s33, plain, spl17_64, inference(sat_conversion,[],[f650])).
% 99.35/14.30 cnf(s35, plain, spl17_68, inference(sat_conversion,[],[f664])).
% 99.35/14.30 cnf(s38, plain, spl17_73, inference(sat_conversion,[],[f683])).
% 99.35/14.30 cnf(s52, plain, ~spl17_54, inference(sat_conversion,[],[f735])).
% 99.35/14.30 cnf(s57, plain, ~spl17_21 | spl17_54 | ~spl17_64, inference(sat_conversion,[],[f752])).
% 99.35/14.30 cnf(s59, plain, ~spl17_1 | ~spl17_7, inference(sat_conversion,[],[f762])).
% 99.35/14.30 cnf(s183, plain, ~spl17_68 | ~spl17_73 | spl17_106, inference(sat_conversion,[],[f1311])).
% 99.35/14.30 cnf(s185, plain, ~spl17_33 | ~spl17_68 | spl17_109, inference(sat_conversion,[],[f1323])).
% 99.35/14.30 cnf(s213, plain, ~spl17_4 | ~spl17_106 | spl17_123, inference(sat_conversion,[],[f1576])).
% 99.35/14.30 cnf(s214, plain, ~spl17_6 | ~spl17_106 | spl17_124, inference(sat_conversion,[],[f1580])).
% 99.35/14.30 cnf(s271, plain, ~spl17_109 | ~spl17_123 | spl17_139, inference(sat_conversion,[],[f1874])).
% 99.35/14.30 cnf(s283, plain, ~spl17_10 | ~spl17_124 | spl17_143, inference(sat_conversion,[],[f1965])).
% 99.35/14.30 cnf(s303, plain, ~spl17_106 | ~spl17_139 | spl17_149, inference(sat_conversion,[],[f2137])).
% 99.35/14.30 cnf(s307, plain, ~spl17_106 | ~spl17_143 | spl17_151, inference(sat_conversion,[],[f2221])).
% 99.35/14.30 cnf(s317, plain, ~spl17_106 | ~spl17_149 | spl17_155, inference(sat_conversion,[],[f2379])).
% 99.35/14.30 cnf(s770, plain, ~spl17_25 | ~spl17_155 | spl17_402 | spl17_404, inference(sat_conversion,[],[f5748])).
% 99.35/14.30 cnf(s1469, plain, ~spl17_29 | ~spl17_155 | spl17_404 | ~spl17_577, inference(sat_conversion,[],[f10628])).
% 99.35/14.30 cnf(s1783, plain, ~spl17_30 | ~spl17_404 | spl17_567, inference(sat_conversion,[],[f13119])).
% 99.35/14.30 cnf(s1881, plain, ~spl17_151 | ~spl17_402 | ~spl17_567, inference(sat_conversion,[],[f14672])).
% 99.35/14.30 cnf(s2274, plain, ~spl17_27 | spl17_402 | ~spl17_404, inference(sat_conversion,[],[f19222])).
% 99.35/14.30 cnf(s2289, plain, ~spl17_151 | ~spl17_402 | spl17_577, inference(sat_conversion,[],[f19264])).
% 99.35/14.30 cnf(s2445, plain, spl17_106, inference(rat,[],[s183,s38,s35])).
% 99.35/14.30 cnf(s2454, plain, ~spl17_21, inference(rat,[],[s57,s52,s33])).
% 99.35/14.30 cnf(s2463, plain, spl17_30, inference(rat,[],[s15,s2454])).
% 99.35/14.30 cnf(s2466, plain, spl17_29, inference(rat,[],[s14,s2454])).
% 99.35/14.30 cnf(s2482, plain, spl17_27, inference(rat,[],[s13,s2454])).
% 99.35/14.30 cnf(s2488, plain, spl17_25, inference(rat,[],[s12,s2454])).
% 99.35/14.30 cnf(s2500, plain, spl17_124, inference(rat,[],[s214,s2445,s3])).
% 99.35/14.30 cnf(s2518, plain, spl17_123, inference(rat,[],[s213,s2445,s2])).
% 99.35/14.30 cnf(s2542, plain, ~spl17_7, inference(rat,[],[s59,s1])).
% 99.35/14.30 cnf(s2556, plain, spl17_33, inference(rat,[],[s16,s2542])).
% 99.35/14.30 cnf(s2563, plain, spl17_10, inference(rat,[],[s4,s2542])).
% 99.35/14.30 cnf(s2583, plain, spl17_109, inference(rat,[],[s185,s35,s2556])).
% 99.35/14.30 cnf(s2592, plain, spl17_143, inference(rat,[],[s283,s2500,s2563])).
% 99.35/14.30 cnf(s2610, plain, spl17_139, inference(rat,[],[s271,s2518,s2583])).
% 99.35/14.30 cnf(s2626, plain, spl17_151, inference(rat,[],[s307,s2445,s2592])).
% 99.35/14.30 cnf(s2641, plain, spl17_149, inference(rat,[],[s303,s2445,s2610])).
% 99.35/14.30 cnf(s2666, plain, spl17_155, inference(rat,[],[s317,s2445,s2641])).
% 99.35/14.30 cnf(s2702, plain, ~spl17_402, inference(rat,[],[s1783,s1469,s1881,s2289,s2463,s2466,s2666,s2626])).
% 99.35/14.30 cnf(s2703, plain, ~spl17_404, inference(rat,[],[s2274,s2482,s2702])).
% 99.35/14.30 cnf(s2709, plain, $false, inference(rat,[],[s770,s2666,s2488,s2703,s2702])).
% 99.35/14.30 thf(f19442,plain,(
% 99.35/14.30 $false),
% 99.35/14.30 inference(avatar_sat_refutation,[],[s2709])).
% 99.35/14.30 % SZS output end Proof for theBenchmark
% 99.35/14.30 % (2892309)------------------------------
% 99.35/14.30 % (2892309)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 99.35/14.30 % (2892309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.35/14.30 % (2892309)CaDiCaL version: 2.1.3
% 99.35/14.30 % (2892309)Termination reason: Refutation
% 99.35/14.30 % (2892309)Time elapsed: 0.932 s
% 99.35/14.30 % (2892309)Peak memory usage: 21 MB
% 99.35/14.30 % (2892309)Instructions burned: 1997 (million)
% 99.35/14.30 % (2892178)Success in time 14.065 s
% 99.35/14.30 % Vampire exiting
%------------------------------------------------------------------------------