%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CSR146^2 : 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 : n001.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 07:47:21 AM UTC 2026
% Result : Theorem 10.34s 1.88s
% Output : Refutation 10.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR146^2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.05/0.17 % Computer : n001.cluster.edu
% 0.05/0.17 % Model : x86_64 x86_64
% 0.05/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.17 % Memory : 8046.5625MB
% 0.05/0.17 % OS : Linux 6.8.0-71-generic
% 0.05/0.17 % CPULimit : 300
% 0.05/0.17 % WCLimit : 300
% 0.05/0.17 % DateTime : Tue Sep 29 18:02:36 UTC 2026
% 0.05/0.17 % CPUTime :
% 0.05/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.05/0.20 Running first-order model finding
% 0.05/0.20 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
% 4.44/0.96 % (1610266)Will run a generic schedule for satisfiability detection.
% 4.44/0.96 % (1610276)% WARNING: option uhcvi not known.
% 4.44/0.96 % (1610276)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1352214735:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.44/0.96 % (1610280)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3914280269:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.44/0.96 % (1610281)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3407927378:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.44/0.96 % (1610275)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4184064616_2999 on theBenchmark for (2999ds/0Mi)
% 4.44/0.96 % (1610278)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1830832161:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.44/0.96 % (1610279)dis+10_1_sil=32000:sp=arity:random_seed=4209978477:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.44/0.96 % (1610282)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3220951343:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.44/0.96 % (1610276)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.44/0.96 % (1610276)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 4.44/0.96 % (1610280)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.44/0.96 % Exception at run slice level
% 4.44/0.96 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.44/0.96 % (1610298)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1168921363:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 4.44/0.96 % (1610279)Instruction limit reached!
% 4.44/0.96 % (1610279)------------------------------
% 4.44/0.96 % (1610279)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.44/0.96 % (1610279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.44/0.96 % (1610279)CaDiCaL version: 2.1.3
% 4.44/0.96 % (1610279)Termination reason: Instruction limit
% 4.44/0.96 % (1610279)Termination phase: Saturation
% 4.44/0.96 % (1610279)Time elapsed: 0.049 s
% 4.44/0.96 % (1610279)Peak memory usage: 12 MB
% 4.44/0.96 % (1610279)Instructions burned: 103 (million)
% 4.44/0.96 % Exception at run slice level
% 4.44/0.96 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.44/0.96 % (1610280)Instruction limit reached!
% 4.44/0.96 % (1610280)------------------------------
% 4.44/0.96 % (1610280)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.44/0.96 % (1610280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.44/0.96 % (1610280)CaDiCaL version: 2.1.3
% 4.44/0.96 % (1610280)Termination reason: Instruction limit
% 4.44/0.96 % (1610280)Termination phase: Saturation
% 4.44/0.96 % (1610280)Time elapsed: 0.056 s
% 4.44/0.96 % (1610280)Peak memory usage: 13 MB
% 4.44/0.96 % (1610280)Instructions burned: 116 (million)
% 4.44/0.96 % (1610281)Instruction limit reached!
% 4.44/0.96 % (1610281)------------------------------
% 4.44/0.96 % (1610281)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.44/0.96 % (1610281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.44/0.96 % (1610281)CaDiCaL version: 2.1.3
% 4.44/0.96 % (1610281)Termination reason: Instruction limit
% 4.44/0.96 % (1610281)Termination phase: Saturation
% 4.44/0.96 % (1610281)Time elapsed: 0.064 s
% 4.44/0.96 % (1610281)Peak memory usage: 13 MB
% 4.44/0.96 % (1610281)Instructions burned: 132 (million)
% 4.44/0.96 % (1610308)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3751289513:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 4.44/0.96 % (1610309)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=4149455604:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 4.44/0.96 % (1610310)ott-21_1_sil=16000:fs=off:random_seed=3020548645:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 4.44/0.96 % (1610282)Instruction limit reached!
% 4.44/0.96 % (1610282)------------------------------
% 4.44/0.96 % (1610282)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.44/0.96 % (1610282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.34/1.88 % (1610282)CaDiCaL version: 2.1.3
% 10.34/1.88 % (1610282)Termination reason: Instruction limit
% 10.34/1.88 % (1610282)Termination phase: Saturation
% 10.34/1.88 % (1610282)Time elapsed: 0.077 s
% 10.34/1.88 % (1610282)Peak memory usage: 13 MB
% 10.34/1.88 % (1610282)Instructions burned: 159 (million)
% 10.34/1.88 % (1610309)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 10.34/1.88 % (1610315)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3594380418:i=477:bd=all_2999 on theBenchmark for (2999ds/477Mi)
% 10.34/1.88 % (1610309)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 10.34/1.88 % (1610323)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2717431993:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 10.34/1.88 % Exception at run slice level
% 10.34/1.88 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 10.34/1.88 % (1610336)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1088774763:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 10.34/1.88 % (1610308)Instruction limit reached!
% 10.34/1.88 % (1610308)------------------------------
% 10.34/1.88 % (1610308)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.34/1.88 % (1610308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.34/1.88 % (1610308)CaDiCaL version: 2.1.3
% 10.34/1.88 % (1610308)Termination reason: Instruction limit
% 10.34/1.88 % (1610308)Termination phase: Saturation
% 10.34/1.88 % (1610308)Time elapsed: 0.065 s
% 10.34/1.88 % (1610308)Peak memory usage: 13 MB
% 10.34/1.88 % (1610308)Instructions burned: 133 (million)
% 10.34/1.88 % (1610343)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1545194048:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 10.34/1.88 % (1610310)Instruction limit reached!
% 10.34/1.88 % (1610310)------------------------------
% 10.34/1.88 % (1610310)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.34/1.88 % (1610310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.34/1.88 % (1610310)CaDiCaL version: 2.1.3
% 10.34/1.88 % (1610310)Termination reason: Instruction limit
% 10.34/1.88 % (1610310)Termination phase: Saturation
% 10.34/1.88 % (1610310)Time elapsed: 0.097 s
% 10.34/1.88 % (1610310)Peak memory usage: 13 MB
% 10.34/1.88 % (1610310)Instructions burned: 182 (million)
% 10.34/1.88 % Exception at run slice level
% 10.34/1.88 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 10.34/1.88 % (1610359)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=1080771321:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2997 on theBenchmark for (2997ds/692Mi)
% 10.34/1.88 % (1610360)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3852740660:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 10.34/1.88 % (1610360)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 10.34/1.88 % (1610359)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 10.34/1.88 % (1610315)Instruction limit reached!
% 10.34/1.88 % (1610315)------------------------------
% 10.34/1.88 % (1610315)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.34/1.88 % (1610315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.34/1.88 % (1610315)CaDiCaL version: 2.1.3
% 10.34/1.88 % (1610315)Termination reason: Instruction limit
% 10.34/1.88 % (1610315)Termination phase: Saturation
% 10.34/1.88 % (1610315)Time elapsed: 0.286 s
% 10.34/1.88 % (1610315)Peak memory usage: 14 MB
% 10.34/1.88 % (1610315)Instructions burned: 477 (million)
% 10.34/1.88 % (1610404)fmb+10_1_sil=64000:random_seed=79801411:i=22061:nm=2:gsp=on_2995 on theBenchmark for (2995ds/22061Mi)
% 10.34/1.88 % (1610404)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 10.34/1.88 % Exception at run slice level
% 10.34/1.88 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 10.34/1.88 % (1610309)Instruction limit reached!
% 10.34/1.88 % (1610309)------------------------------
% 10.34/1.88 % (1610309)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.34/1.88 % (1610309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.34/1.88 % (1610309)CaDiCaL version: 2.1.3
% 10.34/1.88 % (1610309)Termination reason: Instruction limit
% 10.34/1.88 % (1610309)Termination phase: Saturation
% 10.34/1.88 % (1610309)Time elapsed: 0.348 s
% 10.34/1.88 % (1610309)Peak memory usage: 15 MB
% 10.34/1.88 % (1610309)Instructions burned: 688 (million)
% 10.34/1.88 % (1610413)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3540841970:i=9515:nm=5_2995 on theBenchmark for (2995ds/9515Mi)
% 10.34/1.88 % (1610416)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=514359936:fmbsr=1.7:i=920_2995 on theBenchmark for (2995ds/920Mi)
% 10.34/1.88 % Exception at run slice level
% 10.34/1.88 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 10.34/1.88 % Exception at run slice level
% 10.34/1.88 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 10.34/1.88 % (1610425)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1532165554:i=5131_2995 on theBenchmark for (2995ds/5131Mi)
% 10.34/1.88 % (1610429)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3746838266:i=1472:ins=7:fdi=8:gsp=on_2995 on theBenchmark for (2995ds/1472Mi)
% 10.34/1.88 % (1610425)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 10.34/1.88 % (1610429)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 10.34/1.88 % (1610429)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 10.34/1.88 % (1610359)Instruction limit reached!
% 10.34/1.88 % (1610359)------------------------------
% 10.34/1.88 % (1610359)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.34/1.88 % (1610359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.34/1.88 % (1610359)CaDiCaL version: 2.1.3
% 10.34/1.88 % (1610359)Termination reason: Instruction limit
% 10.34/1.88 % (1610359)Termination phase: Saturation
% 10.34/1.88 % (1610359)Time elapsed: 0.384 s
% 10.34/1.88 % (1610359)Peak memory usage: 16 MB
% 10.34/1.88 % (1610359)Instructions burned: 693 (million)
% 10.34/1.88 % (1610460)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3415332385:i=6324_2993 on theBenchmark for (2993ds/6324Mi)
% 10.34/1.88 % Exception at run slice level
% 10.34/1.88 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 10.34/1.88 % (1610465)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3824821121:fmbsr=2.30978:i=2174_2993 on theBenchmark for (2993ds/2174Mi)
% 10.34/1.88 % (1610360)Instruction limit reached!
% 10.34/1.88 % (1610360)------------------------------
% 10.34/1.88 % (1610360)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.34/1.88 % (1610360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.34/1.88 % (1610360)CaDiCaL version: 2.1.3
% 10.34/1.88 % (1610360)Termination reason: Instruction limit
% 10.34/1.88 % (1610360)Termination phase: Saturation
% 10.34/1.88 % (1610360)Time elapsed: 0.453 s
% 10.34/1.88 % (1610360)Peak memory usage: 16 MB
% 10.34/1.88 % (1610360)Instructions burned: 880 (million)
% 10.34/1.88 % Exception at run slice level
% 10.34/1.88 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 10.34/1.88 % (1610467)ott-2_1_sil=16000:newcnf=on:random_seed=217563587:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2993 on theBenchmark for (2993ds/869Mi)
% 10.34/1.88 % (1610467)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 10.34/1.88 % (1610468)ott+10_1_sil=32000:tgt=ground:random_seed=4032230739:i=5114:av=off_2993 on theBenchmark for (2993ds/5114Mi)
% 10.34/1.88 % (1610336)Instruction limit reached!
% 10.34/1.88 % (1610336)------------------------------
% 10.34/1.88 % (1610336)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.34/1.88 % (1610336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.34/1.88 % (1610336)CaDiCaL version: 2.1.3
% 10.34/1.88 % (1610336)Termination reason: Instruction limit
% 10.34/1.88 % (1610336)Termination phase: Saturation
% 10.34/1.88 % (1610336)Time elapsed: 0.547 s
% 10.34/1.88 % (1610336)Peak memory usage: 18 MB
% 10.34/1.88 % (1610336)Instructions burned: 1180 (million)
% 10.34/1.88 % (1610471)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2994391529:i=54282_2992 on theBenchmark for (2992ds/54282Mi)
% 10.34/1.88 % Exception at run slice level
% 10.34/1.88 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 10.34/1.88 % (1610473)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=1584609632:i=3512:aac=none_2992 on theBenchmark for (2992ds/3512Mi)
% 10.34/1.88 % (1610473)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 10.34/1.88 % (1610467)Instruction limit reached!
% 10.34/1.88 % (1610467)------------------------------
% 10.34/1.88 % (1610467)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.34/1.88 % (1610467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.34/1.88 % (1610467)CaDiCaL version: 2.1.3
% 10.34/1.88 % (1610467)Termination reason: Instruction limit
% 10.34/1.88 % (1610467)Termination phase: Saturation
% 10.34/1.88 % (1610467)Time elapsed: 0.387 s
% 10.34/1.88 % (1610467)Peak memory usage: 15 MB
% 10.34/1.88 % (1610467)Instructions burned: 869 (million)
% 10.34/1.88 % (1610569)dis+21_1_sil=32000:sas=cadical:random_seed=505440447:i=3773:amm=off_2989 on theBenchmark for (2989ds/3773Mi)
% 10.34/1.88 % (1610429)Instruction limit reached!
% 10.34/1.88 % (1610429)------------------------------
% 10.34/1.88 % (1610429)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.34/1.88 % (1610429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.34/1.88 % (1610429)CaDiCaL version: 2.1.3
% 10.34/1.88 % (1610429)Termination reason: Instruction limit
% 10.34/1.88 % (1610429)Termination phase: Saturation
% 10.34/1.88 % (1610429)Time elapsed: 0.658 s
% 10.34/1.88 % (1610429)Peak memory usage: 17 MB
% 10.34/1.88 % (1610429)Instructions burned: 1472 (million)
% 10.34/1.88 % (1610582)ott+11_1_sil=16000:gs=on:random_seed=1004808708:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2988 on theBenchmark for (2988ds/2251Mi)
% 10.34/1.88 % (1610582)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 10.34/1.88 % (1610582) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1610266-1610582"...
% 10.34/1.88 % (1610582)...printing done.
% 10.34/1.88 % (1610582)Refutation found. Thanks to Tanya!
% 10.34/1.88 % SZS status Theorem for theBenchmark
% 10.34/1.88 % SZS output start Proof for theBenchmark
% 10.34/1.88 thf(type_def_5, type, num: $tType).
% 10.34/1.88 thf(type_def_6, type, sTfun: ($tType * $tType) > $tType).
% 10.34/1.88 thf(func_def_0, type, agent_THFTYPE_IiioI: ($i > $i > $o)).
% 10.34/1.88 thf(func_def_2, type, believes_THFTYPE_IiooI: ($i > $o > $o)).
% 10.34/1.88 thf(func_def_5, type, contraryAttribute_THFTYPE_IioI: ($i > $o)).
% 10.34/1.88 thf(func_def_6, type, disjointDecomposition_THFTYPE_IiioI: ($i > $i > $o)).
% 10.34/1.88 thf(func_def_7, type, disjointDecomposition_THFTYPE_IioI: ($i > $o)).
% 10.34/1.88 thf(func_def_8, type, disjointRelation_THFTYPE_IiIiioIoI: ($i > ($i > $i > $o) > $o)).
% 10.34/1.88 thf(func_def_9, type, disjointRelation_THFTYPE_IiioI: ($i > $i > $o)).
% 10.34/1.88 thf(func_def_10, type, disjoint_THFTYPE_IiioI: ($i > $i > $o)).
% 10.34/1.88 thf(func_def_12, type, domainSubclass_THFTYPE_IIiiiIiioI: (($i > $i > $i) > $i > $i > $o)).
% 10.34/1.88 thf(func_def_13, type, domainSubclass_THFTYPE_IIiioIiioI: (($i > $i > $o) > $i > $i > $o)).
% 10.34/1.88 thf(func_def_14, type, domainSubclass_THFTYPE_IIioIiioI: (($i > $o) > $i > $i > $o)).
% 10.34/1.88 thf(func_def_15, type, domainSubclass_THFTYPE_IiiioI: ($i > $i > $i > $o)).
% 10.34/1.88 thf(func_def_16, type, domain_THFTYPE_IIIiioIIiioIoIiioI: ((($i > $i > $o) > ($i > $i > $o) > $o) > $i > $i > $o)).
% 10.34/1.88 thf(func_def_17, type, domain_THFTYPE_IIIioIiioIiioI: ((($i > $o) > $i > $i > $o) > $i > $i > $o)).
% 10.34/1.88 thf(func_def_18, type, domain_THFTYPE_IIiiIiioI: (($i > $i) > $i > $i > $o)).
% 10.34/1.88 thf(func_def_19, type, domain_THFTYPE_IIiiiIiioI: (($i > $i > $i) > $i > $i > $o)).
% 10.34/1.88 thf(func_def_20, type, domain_THFTYPE_IIiiioIiioI: (($i > $i > $i > $o) > $i > $i > $o)).
% 10.34/1.88 thf(func_def_21, type, domain_THFTYPE_IIiioIiioI: (($i > $i > $o) > $i > $i > $o)).
% 10.34/1.88 thf(func_def_22, type, domain_THFTYPE_IIioIiioI: (($i > $o) > $i > $i > $o)).
% 10.34/1.88 thf(func_def_23, type, domain_THFTYPE_IIiooIiioI: (($i > $o > $o) > $i > $i > $o)).
% 10.34/1.88 thf(func_def_24, type, domain_THFTYPE_IiiioI: ($i > $i > $i > $o)).
% 10.34/1.88 thf(func_def_25, type, duration_THFTYPE_IiioI: ($i > $i > $o)).
% 10.34/1.88 thf(func_def_27, type, greaterThanOrEqualTo_THFTYPE_IiioI: ($i > $i > $o)).
% 10.34/1.88 thf(func_def_28, type, greaterThan_THFTYPE_IiioI: ($i > $i > $o)).
% 10.34/1.88 thf(func_def_29, type, gt_THFTYPE_IiioI: ($i > $i > $o)).
% 10.34/1.88 thf(func_def_30, type, gtet_THFTYPE_IiioI: ($i > $i > $o)).
% 10.34/1.88 thf(func_def_31, type, holdsDuring_THFTYPE_IiooI: ($i > $o > $o)).
% 10.34/1.88 thf(func_def_32, type, husband_THFTYPE_IiioI: ($i > $i > $o)).
% 10.34/1.88 thf(func_def_33, type, inList_THFTYPE_IiioI: ($i > $i > $o)).
% 10.34/1.88 thf(func_def_34, type, instance_THFTYPE_IIIiioIIiioIoIioI: ((($i > $i > $o) > ($i > $i > $o) > $o) > $i > $o)).
% 10.34/1.88 thf(func_def_35, type, instance_THFTYPE_IIIiioIiioIioI: ((($i > $i > $o) > $i > $i > $o) > $i > $o)).
% 10.34/1.88 thf(func_def_36, type, instance_THFTYPE_IIIioIiioIioI: ((($i > $o) > $i > $i > $o) > $i > $o)).
% 10.34/1.88 thf(func_def_37, type, instance_THFTYPE_IIiIiioIoIioI: (($i > ($i > $i > $o) > $o) > $i > $o)).
% 10.34/1.88 thf(func_def_38, type, instance_THFTYPE_IIiiIioI: (($i > $i) > $i > $o)).
% 10.34/1.88 thf(func_def_39, type, instance_THFTYPE_IIiiiIioI: (($i > $i > $i) > $i > $o)).
% 10.34/1.88 thf(func_def_40, type, instance_THFTYPE_IIiiioIioI: (($i > $i > $i > $o) > $i > $o)).
% 10.34/1.88 thf(func_def_41, type, instance_THFTYPE_IIiioIioI: (($i > $i > $o) > $i > $o)).
% 10.34/1.88 thf(func_def_42, type, instance_THFTYPE_IIiooIioI: (($i > $o > $o) > $i > $o)).
% 10.34/1.88 thf(func_def_43, type, instance_THFTYPE_IiioI: ($i > $i > $o)).
% 10.34/1.88 thf(func_def_44, type, instrument_THFTYPE_IiioI: ($i > $i > $o)).
% 10.34/1.88 thf(func_def_45, type, inverse_THFTYPE_IIiioIIiioIoI: (($i > $i > $o) > ($i > $i > $o) > $o)).
% 10.34/1.88 thf(func_def_46, type, knows_THFTYPE_IiooI: ($i > $o > $o)).
% 10.34/1.88 thf(func_def_51, type, lBeginFn_THFTYPE_IiiI: ($i > $i)).
% 10.34/1.88 thf(func_def_55, type, lCardinalityFn_THFTYPE_IiiI: ($i > $i)).
% 10.34/1.88 thf(func_def_64, type, lEndFn_THFTYPE_IiiI: ($i > $i)).
% 10.34/1.88 thf(func_def_76, type, lListFn_THFTYPE_IiiI: ($i > $i)).
% 10.34/1.88 thf(func_def_78, type, lListOrderFn_THFTYPE_IiiiI: ($i > $i > $i)).
% 10.34/1.88 thf(func_def_81, type, lMeasureFn_THFTYPE_IiiiI: ($i > $i > $i)).
% 10.34/1.88 thf(func_def_100, type, lTemporalCompositionFn_THFTYPE_IiiiI: ($i > $i > $i)).
% 10.34/1.88 thf(func_def_110, type, lWhenFn_THFTYPE_IiiI: ($i > $i)).
% 10.34/1.88 thf(func_def_112, type, lYearFn_THFTYPE_IiiI: ($i > $i)).
% 10.34/1.88 thf(func_def_115, type, lessThanOrEqualTo_THFTYPE_IiioI: ($i > $i > $o)).
% 10.34/1.88 thf(func_def_116, type, lessThan_THFTYPE_IiioI: ($i > $i > $o)).
% 10.34/1.88 thf(func_def_117, type, located_THFTYPE_IiioI: ($i > $i > $o)).
% 10.34/1.88 thf(func_def_118, type, lt_THFTYPE_IiioI: ($i > $i > $o)).
% 10.34/1.88 thf(func_def_119, type, ltet_THFTYPE_IiioI: ($i > $i > $o)).
% 10.34/1.88 thf(func_def_120, type, meetsTemporally_THFTYPE_IiioI: ($i > $i > $o)).
% 10.34/1.88 thf(func_def_121, type, member_THFTYPE_IiioI: ($i > $i > $o)).
% 10.34/1.88 thf(func_def_122, type, minus_THFTYPE_IiiiI: ($i > $i > $i)).
% 10.34/1.88 thf(func_def_129, type, orientation_THFTYPE_IiiioI: ($i > $i > $i > $o)).
% 10.34/1.88 thf(func_def_130, type, part_THFTYPE_IiioI: ($i > $i > $o)).
% 10.34/1.88 thf(func_def_131, type, partition_THFTYPE_IiiioI: ($i > $i > $i > $o)).
% 10.34/1.88 thf(func_def_133, type, property_THFTYPE_IiioI: ($i > $i > $o)).
% 10.34/1.88 thf(func_def_134, type, rangeSubclass_THFTYPE_IiioI: ($i > $i > $o)).
% 10.34/1.88 thf(func_def_135, type, range_THFTYPE_IiioI: ($i > $i > $o)).
% 10.34/1.88 thf(func_def_137, type, relatedInternalConcept_THFTYPE_IIiioIIiioIoI: (($i > $i > $o) > ($i > $i > $o) > $o)).
% 10.34/1.88 thf(func_def_138, type, relatedInternalConcept_THFTYPE_IIioIIiioIoI: (($i > $o) > ($i > $i > $o) > $o)).
% 10.34/1.88 thf(func_def_139, type, relatedInternalConcept_THFTYPE_IiIiiIoI: ($i > ($i > $i) > $o)).
% 10.34/1.88 thf(func_def_140, type, relatedInternalConcept_THFTYPE_IiIiioIoI: ($i > ($i > $i > $o) > $o)).
% 10.34/1.88 thf(func_def_141, type, relatedInternalConcept_THFTYPE_IiioI: ($i > $i > $o)).
% 10.34/1.88 thf(func_def_144, type, subAttribute_THFTYPE_IiioI: ($i > $i > $o)).
% 10.34/1.88 thf(func_def_145, type, subProcess_THFTYPE_IiioI: ($i > $i > $o)).
% 10.34/1.88 thf(func_def_146, type, subclass_THFTYPE_IiioI: ($i > $i > $o)).
% 10.34/1.88 thf(func_def_147, type, subrelation_THFTYPE_IIiioIIiioIoI: (($i > $i > $o) > ($i > $i > $o) > $o)).
% 10.34/1.88 thf(func_def_148, type, subrelation_THFTYPE_IIiioIioI: (($i > $i > $o) > $i > $o)).
% 10.34/1.88 thf(func_def_149, type, subrelation_THFTYPE_IIioIIioIoI: (($i > $o) > ($i > $o) > $o)).
% 10.34/1.88 thf(func_def_150, type, subrelation_THFTYPE_IIoooIIiioIoI: (($o > $o > $o) > ($i > $i > $o) > $o)).
% 10.34/1.88 thf(func_def_151, type, subrelation_THFTYPE_IiIiioIoI: ($i > ($i > $i > $o) > $o)).
% 10.34/1.88 thf(func_def_152, type, subrelation_THFTYPE_IiioI: ($i > $i > $o)).
% 10.34/1.88 thf(func_def_153, type, temporalPart_THFTYPE_IiioI: ($i > $i > $o)).
% 10.34/1.88 thf(func_def_154, type, truth_THFTYPE_IoooI: ($o > $o > $o)).
% 10.34/1.88 thf(func_def_155, type, wife_THFTYPE_IiioI: ($i > $i > $o)).
% 10.34/1.88 thf(func_def_157, type, vNOT: ($o > $o)).
% 10.34/1.88 thf(func_def_160, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 10.34/1.88 thf(func_def_161, type, vAND: ($o > $o > $o)).
% 10.34/1.88 thf(func_def_162, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 10.34/1.88 thf(func_def_163, type, sK0: (($i > $i > $o) > $i)).
% 10.34/1.88 thf(func_def_164, type, sK1: (($i > $i > $o) > $i)).
% 10.34/1.88 thf(func_def_165, type, sK2: (($i > $i > $o) > $i)).
% 10.34/1.88 thf(func_def_167, type, sK4: (($i > $i > $o) > $i)).
% 10.34/1.88 thf(func_def_168, type, sK5: ($i > $i)).
% 10.34/1.88 thf(func_def_169, type, sK6: (($i > $i > $o) > $i)).
% 10.34/1.88 thf(func_def_170, type, sK7: (($i > $i > $o) > $i)).
% 10.34/1.88 thf(func_def_171, type, sK8: ($i > $i)).
% 10.34/1.88 thf(func_def_172, type, sK9: ($i > $i > $i)).
% 10.34/1.88 thf(func_def_174, type, sK11: ($i > $i > $i)).
% 10.34/1.88 thf(func_def_175, type, sK12: ($i > $i)).
% 10.34/1.88 thf(func_def_176, type, sK13: ($i > $i > $i)).
% 10.34/1.88 thf(func_def_177, type, db0: !>[X0: $tType]:(X0)).
% 10.34/1.88 thf(func_def_178, type, db1: !>[X0: $tType]:(X0)).
% 10.34/1.88 thf(func_def_179, type, db2: !>[X0: $tType]:(X0)).
% 10.34/1.88 thf(func_def_181, type, db3: !>[X0: $tType]:(X0)).
% 10.34/1.88 thf(func_def_182, type, db4: !>[X0: $tType]:(X0)).
% 10.34/1.88 thf(f9,axiom,(
% 10.34/1.88 (subclass_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i @ lBinaryRelation_THFTYPE_i)),
% 10.34/1.88 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_008)).
% 10.34/1.88 thf(f32,axiom,(
% 10.34/1.88 ! [X0 : ($i > $i > $o)] : ((instance_THFTYPE_IIiioIioI @ X0 @ lIrreflexiveRelation_THFTYPE_i) <=> ! [X1 : $i] : (~ (X0 @ X1 @ X1)))),
% 10.34/1.88 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_031)).
% 10.34/1.88 thf(f59,axiom,(
% 10.34/1.88 ! [X0 : $i] : (holdsDuring_THFTYPE_IiooI @ X0 @ $true)),
% 10.34/1.88 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_058)).
% 10.34/1.88 thf(f204,axiom,(
% 10.34/1.88 (instance_THFTYPE_IIiioIioI @ subclass_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i)),
% 10.34/1.88 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_203)).
% 10.34/1.88 thf(f343,conjecture,(
% 10.34/1.88 ? [X0 : ($i > $i > $o)] : ((~ (X0 = (^[X1 : $i, X2 : $i] : ($true)))) & (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i)))),
% 10.34/1.88 file('/export/starexec/sandbox/benchmark/theBenchmark.p',con)).
% 10.34/1.88 thf(f344,negated_conjecture,(
% 10.34/1.88 ~ ? [X0 : ($i > $i > $o)] : ((~ (X0 = (^[X1 : $i, X2 : $i] : ($true)))) & (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i)))),
% 10.34/1.88 inference(negated_conjecture,[status(cth)],[f343])).
% 10.34/1.88 thf(f361,plain,(
% 10.34/1.88 (subclass_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i @ lBinaryRelation_THFTYPE_i)),
% 10.34/1.88 inference(rectify,[],[f9])).
% 10.34/1.88 thf(f362,plain,(
% 10.34/1.88 (((subclass_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i @ lBinaryRelation_THFTYPE_i)) = $true)),
% 10.34/1.88 inference(fool_elimination,[],[f361])).
% 10.34/1.88 thf(f407,plain,(
% 10.34/1.88 ! [X0 : ($i > $i > $o)] : ((instance_THFTYPE_IIiioIioI @ X0 @ lIrreflexiveRelation_THFTYPE_i) <=> ! [X1 : $i] : (~ (X0 @ X1 @ X1)))),
% 10.34/1.88 inference(rectify,[],[f32])).
% 10.34/1.88 thf(f408,plain,(
% 10.34/1.88 ! [X0 : ($i > $i > $o)] : ((((instance_THFTYPE_IIiioIioI @ X0 @ lIrreflexiveRelation_THFTYPE_i)) = $true) <=> ! [X1 : $i] : (((~ (X0 @ X1 @ X1))) = $true))),
% 10.34/1.88 inference(fool_elimination,[],[f407])).
% 10.34/1.88 thf(f459,plain,(
% 10.34/1.88 ! [X0 : $i] : (holdsDuring_THFTYPE_IiooI @ X0 @ $true)),
% 10.34/1.88 inference(rectify,[],[f59])).
% 10.34/1.88 thf(f460,plain,(
% 10.34/1.88 ! [X0 : $i] : ($true = ((holdsDuring_THFTYPE_IiooI @ X0 @ $true)))),
% 10.34/1.88 inference(fool_elimination,[],[f459])).
% 10.34/1.88 thf(f747,plain,(
% 10.34/1.88 (instance_THFTYPE_IIiioIioI @ subclass_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i)),
% 10.34/1.88 inference(rectify,[],[f204])).
% 10.34/1.88 thf(f748,plain,(
% 10.34/1.88 (((instance_THFTYPE_IIiioIioI @ subclass_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i)) = $true)),
% 10.34/1.88 inference(fool_elimination,[],[f747])).
% 10.34/1.88 thf(f1025,plain,(
% 10.34/1.88 ~ ? [X0 : ($i > $i > $o)] : ((~ (X0 = (^[X1 : $i, X2 : $i] : ($true)))) & (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i)))),
% 10.34/1.88 inference(rectify,[],[f344])).
% 10.34/1.88 thf(f1026,plain,(
% 10.34/1.88 ~ ? [X0 : ($i > $i > $o)] : (($true = ((~ (X0 = (^[Y0 : $i]: ((^[Y1 : $i]: ($true)))))))) & (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i))) = $true))),
% 10.34/1.88 inference(fool_elimination,[],[f1025])).
% 10.34/1.88 thf(f1114,plain,(
% 10.34/1.88 ! [X0 : ($i > $i > $o)] : (($true != ((~ (X0 = (^[Y0 : $i]: ((^[Y1 : $i]: ($true)))))))) | (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i))) != $true))),
% 10.34/1.88 inference(ennf_transformation,[],[f1026])).
% 10.34/1.88 thf(f1121,plain,(
% 10.34/1.88 ! [X0 : ($i > $i > $o)] : (((((instance_THFTYPE_IIiioIioI @ X0 @ lIrreflexiveRelation_THFTYPE_i)) = $true) | ? [X1 : $i] : (((~ (X0 @ X1 @ X1))) != $true)) & (! [X1 : $i] : (((~ (X0 @ X1 @ X1))) = $true) | (((instance_THFTYPE_IIiioIioI @ X0 @ lIrreflexiveRelation_THFTYPE_i)) != $true)))),
% 10.34/1.88 inference(nnf_transformation,[],[f408])).
% 10.34/1.88 thf(f1122,plain,(
% 10.34/1.88 ! [X0 : ($i > $i > $o)] : (((((instance_THFTYPE_IIiioIioI @ X0 @ lIrreflexiveRelation_THFTYPE_i)) = $true) | ? [X1 : $i] : (((~ (X0 @ X1 @ X1))) != $true)) & (! [X2 : $i] : ($true = ((~ (X0 @ X2 @ X2)))) | (((instance_THFTYPE_IIiioIioI @ X0 @ lIrreflexiveRelation_THFTYPE_i)) != $true)))),
% 10.34/1.88 inference(rectify,[],[f1121])).
% 10.34/1.88 thf(f1123,plain,(
% 10.34/1.88 ! [X0 : ($i > $i > $o)] : (((((instance_THFTYPE_IIiioIioI @ X0 @ lIrreflexiveRelation_THFTYPE_i)) = $true) | ($true != ((~ (X0 @ (sK4 @ X0) @ (sK4 @ X0)))))) & (! [X2 : $i] : ($true = ((~ (X0 @ X2 @ X2)))) | (((instance_THFTYPE_IIiioIioI @ X0 @ lIrreflexiveRelation_THFTYPE_i)) != $true)))),
% 10.34/1.88 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X3,sK2 @ X0)],[f1122])).
% 10.34/1.88 thf(f1150,plain,(
% 10.34/1.88 (((subclass_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i @ lBinaryRelation_THFTYPE_i)) = $true)),
% 10.34/1.88 inference(cnf_transformation,[],[f362])).
% 10.34/1.88 thf(f1178,plain,(
% 10.34/1.88 ( ! [X2 : $i,X0 : ($i > $i > $o)] : (($true = ((~ (X0 @ X2 @ X2)))) | (((instance_THFTYPE_IIiioIioI @ X0 @ lIrreflexiveRelation_THFTYPE_i)) != $true)) )),
% 10.34/1.88 inference(cnf_transformation,[],[f1123])).
% 10.34/1.88 thf(f1179,plain,(
% 10.34/1.88 ( ! [X0 : ($i > $i > $o)] : ((((instance_THFTYPE_IIiioIioI @ X0 @ lIrreflexiveRelation_THFTYPE_i)) = $true) | ($true != ((~ (X0 @ (sK4 @ X0) @ (sK4 @ X0)))))) )),
% 10.34/1.88 inference(cnf_transformation,[],[f1123])).
% 10.34/1.88 thf(f1207,plain,(
% 10.34/1.88 ( ! [X0 : $i] : (($true = ((holdsDuring_THFTYPE_IiooI @ X0 @ $true)))) )),
% 10.34/1.88 inference(cnf_transformation,[],[f460])).
% 10.34/1.88 thf(f1360,plain,(
% 10.34/1.88 (((instance_THFTYPE_IIiioIioI @ subclass_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i)) = $true)),
% 10.34/1.88 inference(cnf_transformation,[],[f748])).
% 10.34/1.88 thf(f1499,plain,(
% 10.34/1.88 ( ! [X0 : ($i > $i > $o)] : (($true != ((~ (X0 = (^[Y0 : $i]: ((^[Y1 : $i]: ($true)))))))) | (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i))) != $true)) )),
% 10.34/1.88 inference(cnf_transformation,[],[f1114])).
% 10.34/1.88 thf(f1501,definition,(
% 10.34/1.88 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 10.34/1.88 introduced(theory,[fool_exhaustiveness_axiom])).
% 10.34/1.88 thf(f1512,plain,(
% 10.34/1.88 ( ! [X0 : ($i > $i > $o)] : (($true = ((X0 = (^[Y0 : $i]: ((^[Y1 : $i]: ($true))))))) | (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i))) != $true)) )),
% 10.34/1.88 inference(not_proxy_clausification,[],[f1499])).
% 10.34/1.88 thf(f1513,plain,(
% 10.34/1.88 ( ! [X0 : ($i > $i > $o)] : ((((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i))) != $true) | ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X0)) )),
% 10.34/1.88 inference(equality_proxy_clausification,[],[f1512])).
% 10.34/1.88 thf(f1531,plain,(
% 10.34/1.88 ( ! [X2 : $i,X0 : ($i > $i > $o)] : ((((instance_THFTYPE_IIiioIioI @ X0 @ lIrreflexiveRelation_THFTYPE_i)) != $true) | (((X0 @ X2 @ X2)) = $false)) )),
% 10.34/1.88 inference(not_proxy_clausification,[],[f1178])).
% 10.34/1.88 thf(f1532,plain,(
% 10.34/1.88 ( ! [X0 : ($i > $i > $o)] : (($true = ((X0 @ (sK4 @ X0) @ (sK4 @ X0)))) | (((instance_THFTYPE_IIiioIioI @ X0 @ lIrreflexiveRelation_THFTYPE_i)) = $true)) )),
% 10.34/1.88 inference(not_proxy_clausification,[],[f1179])).
% 10.34/1.88 thf(f1545,plain,(
% 10.34/1.88 ( ! [X0 : ($i > $i > $o)] : (($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true))) | ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X0) | (((X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i)) = $false)) )),
% 10.34/1.88 inference(constrained_superposition,[],[f1513,f1501])).
% 10.34/1.88 thf(f1553,plain,(
% 10.34/1.88 ( ! [X0 : ($i > $i > $o)] : (($true != $true) | ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X0) | (((X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i)) = $false)) )),
% 10.34/1.88 inference(forward_demodulation,[],[f1545,f1207])).
% 10.34/1.88 thf(f1554,plain,(
% 10.34/1.88 ( ! [X0 : ($i > $i > $o)] : ((((X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i)) = $false) | ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X0)) )),
% 10.34/1.88 inference(trivial_inequality_removal,[],[f1553])).
% 10.34/1.88 thf(f1563,plain,(
% 10.34/1.88 ($false = (((^[Y0 : $i]: ((^[Y1 : $i]: (Y0 = Y1)))) @ lChris_THFTYPE_i @ lCorina_THFTYPE_i))) | ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = (^[Y0 : $i]: ((^[Y1 : $i]: (Y0 = Y1)))))),
% 10.34/1.88 inference(primitive_instantiation,[],[f1554])).
% 10.34/1.88 thf(f1564,plain,(
% 10.34/1.88 ($false = (((^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y0 = Y1))))) @ lChris_THFTYPE_i @ lCorina_THFTYPE_i))) | ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = (^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y0 = Y1))))))),
% 10.34/1.88 inference(primitive_instantiation,[],[f1554])).
% 10.34/1.88 thf(f1587,plain,(
% 10.34/1.88 ($false = ((~ (lChris_THFTYPE_i = lCorina_THFTYPE_i)))) | ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = (^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y0 = Y1))))))),
% 10.34/1.88 inference(beta-eta_normalization,[],[f1564])).
% 10.34/1.88 thf(f1588,plain,(
% 10.34/1.88 ($true = ((lChris_THFTYPE_i = lCorina_THFTYPE_i))) | ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = (^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y0 = Y1))))))),
% 10.34/1.88 inference(not_proxy_clausification,[],[f1587])).
% 10.34/1.88 thf(f1589,plain,(
% 10.34/1.88 (lChris_THFTYPE_i = lCorina_THFTYPE_i) | ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = (^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y0 = Y1))))))),
% 10.34/1.88 inference(equality_proxy_clausification,[],[f1588])).
% 10.34/1.88 thf(f1590,plain,(
% 10.34/1.88 ($false = ((lChris_THFTYPE_i = lCorina_THFTYPE_i))) | (= = (^[Y0 : $i]: ((^[Y1 : $i]: ($true)))))),
% 10.34/1.88 inference(beta-eta_normalization,[],[f1563])).
% 10.34/1.88 thf(f1591,plain,(
% 10.34/1.88 (lChris_THFTYPE_i != lCorina_THFTYPE_i) | (= = (^[Y0 : $i]: ((^[Y1 : $i]: ($true)))))),
% 10.34/1.88 inference(equality_proxy_clausification,[],[f1590])).
% 10.34/1.88 thf(f1595,definition,(
% 10.34/1.88 spl14_1 <=> ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = (^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y0 = Y1))))))),
% 10.34/1.88 introduced(definition,[new_symbols(definition,[spl14_1])],[avatar_definition])).
% 10.34/1.88 thf(f1597,plain,(
% 10.34/1.88 ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = (^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y0 = Y1)))))) | ~spl14_1),
% 10.34/1.88 inference(avatar_component_clause,[],[f1595])).
% 10.34/1.88 thf(f1599,definition,(
% 10.34/1.88 spl14_2 <=> (lChris_THFTYPE_i = lCorina_THFTYPE_i)),
% 10.34/1.88 introduced(definition,[new_symbols(definition,[spl14_2])],[avatar_definition])).
% 10.34/1.88 thf(f1602,plain,(
% 10.34/1.88 spl14_1 | spl14_2),
% 10.34/1.88 inference(avatar_split_clause,[],[f1589,f1599,f1595])).
% 10.34/1.88 thf(f1604,definition,(
% 10.34/1.88 spl14_3 <=> (= = (^[Y0 : $i]: ((^[Y1 : $i]: ($true)))))),
% 10.34/1.88 introduced(definition,[new_symbols(definition,[spl14_3])],[avatar_definition])).
% 10.34/1.88 thf(f1606,plain,(
% 10.34/1.88 (= = (^[Y0 : $i]: ((^[Y1 : $i]: ($true))))) | ~spl14_3),
% 10.34/1.88 inference(avatar_component_clause,[],[f1604])).
% 10.34/1.88 thf(f1607,plain,(
% 10.34/1.88 spl14_3 | ~spl14_2),
% 10.34/1.88 inference(avatar_split_clause,[],[f1591,f1599,f1604])).
% 10.34/1.88 thf(f1642,plain,(
% 10.34/1.88 ( ! [X1 : $i] : ((((= @ X1)) = (((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) @ X1)))) ) | ~spl14_3),
% 10.34/1.88 inference(argument_congruence,[],[f1606])).
% 10.34/1.88 thf(f1643,plain,(
% 10.34/1.88 ( ! [X1 : $i] : ((((= @ X1)) = (^[Y0 : $i]: ($true)))) ) | ~spl14_3),
% 10.34/1.88 inference(beta-eta_normalization,[],[f1642])).
% 10.34/1.88 thf(f1660,plain,(
% 10.34/1.88 ( ! [X2 : $i,X1 : $i] : ((((X1 = X2)) = (((^[Y0 : $i]: ($true)) @ X2)))) ) | ~spl14_3),
% 10.34/1.88 inference(argument_congruence,[],[f1643])).
% 10.34/1.88 thf(f1661,plain,(
% 10.34/1.88 ( ! [X2 : $i,X1 : $i] : (($true = ((X1 = X2))) | ($false = (((^[Y0 : $i]: ($true)) @ X2)))) ) | ~spl14_3),
% 10.34/1.88 inference(iff_proxy_clausification,[],[f1660])).
% 10.34/1.88 thf(f1665,plain,(
% 10.34/1.88 ( ! [X2 : $i,X1 : $i] : ((X1 = X2) | ($false = (((^[Y0 : $i]: ($true)) @ X2)))) ) | ~spl14_3),
% 10.34/1.88 inference(equality_proxy_clausification,[],[f1661])).
% 10.34/1.88 thf(f1818,plain,(
% 10.34/1.88 ( ! [X2 : $i,X1 : $i] : ((X1 = X2) | ($true = $false)) ) | ~spl14_3),
% 10.34/1.88 inference(beta-eta_normalization,[],[f1665])).
% 10.34/1.88 thf(f1819,plain,(
% 10.34/1.88 ( ! [X2 : $i,X1 : $i] : ((X1 = X2)) ) | ~spl14_3),
% 10.34/1.88 inference(trivial_inequality_removal,[],[f1818])).
% 10.34/1.88 thf(f1955,plain,(
% 10.34/1.88 ($true = (((^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y0 = Y1))))) @ (sK4 @ (^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y0 = Y1)))))) @ (sK4 @ (^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y0 = Y1))))))))) | ($true = ((instance_THFTYPE_IIiioIioI @ (^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y0 = Y1))))) @ lIrreflexiveRelation_THFTYPE_i)))),
% 10.34/1.88 inference(primitive_instantiation,[],[f1532])).
% 10.34/1.88 thf(f2020,plain,(
% 10.34/1.88 ($true = ((~ ((sK4 @ (^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y0 = Y1)))))) = (sK4 @ (^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y0 = Y1)))))))))) | ($true = ((instance_THFTYPE_IIiioIioI @ (^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y0 = Y1))))) @ lIrreflexiveRelation_THFTYPE_i)))),
% 10.34/1.88 inference(beta-eta_normalization,[],[f1955])).
% 10.34/1.88 thf(f2021,plain,(
% 10.34/1.88 ($false = (((sK4 @ (^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y0 = Y1)))))) = (sK4 @ (^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y0 = Y1))))))))) | ($true = ((instance_THFTYPE_IIiioIioI @ (^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y0 = Y1))))) @ lIrreflexiveRelation_THFTYPE_i)))),
% 10.34/1.88 inference(not_proxy_clausification,[],[f2020])).
% 10.34/1.88 thf(f2022,plain,(
% 10.34/1.88 (((sK4 @ (^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y0 = Y1))))))) != ((sK4 @ (^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y0 = Y1)))))))) | ($true = ((instance_THFTYPE_IIiioIioI @ (^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y0 = Y1))))) @ lIrreflexiveRelation_THFTYPE_i)))),
% 10.34/1.88 inference(equality_proxy_clausification,[],[f2021])).
% 10.34/1.88 thf(f2023,plain,(
% 10.34/1.88 ($true = ((instance_THFTYPE_IIiioIioI @ (^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y0 = Y1))))) @ lIrreflexiveRelation_THFTYPE_i)))),
% 10.34/1.88 inference(trivial_inequality_removal,[],[f2022])).
% 10.34/1.88 thf(f2171,plain,(
% 10.34/1.88 ($true = ((instance_THFTYPE_IIiioIioI @ (^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) @ lIrreflexiveRelation_THFTYPE_i))) | ~spl14_1),
% 10.34/1.88 inference(forward_demodulation,[],[f2023,f1597])).
% 10.34/1.88 thf(f2341,plain,(
% 10.34/1.88 ( ! [X0 : $i] : (($true = ((subclass_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i @ X0)))) ) | ~spl14_3),
% 10.34/1.88 inference(constrained_superposition,[],[f1150,f1819])).
% 10.34/1.88 thf(f2361,plain,(
% 10.34/1.88 ( ! [X0 : $i,X1 : $i] : ((((subclass_THFTYPE_IiioI @ X0 @ X1)) = $true)) ) | ~spl14_3),
% 10.34/1.88 inference(constrained_superposition,[],[f2341,f1819])).
% 10.34/1.88 thf(f7891,plain,(
% 10.34/1.88 ( ! [X0 : $i] : (($true = ((instance_THFTYPE_IIiioIioI @ subclass_THFTYPE_IiioI @ X0)))) ) | ~spl14_3),
% 10.34/1.88 inference(constrained_superposition,[],[f1360,f1819])).
% 10.34/1.88 thf(f8236,plain,(
% 10.34/1.88 ( ! [X0 : $i] : (($true != $true) | ($false = ((subclass_THFTYPE_IiioI @ X0 @ X0)))) ) | ~spl14_3),
% 10.34/1.88 inference(constrained_superposition,[],[f1531,f7891])).
% 10.34/1.88 thf(f8237,plain,(
% 10.34/1.88 ( ! [X0 : $i] : (($false = ((subclass_THFTYPE_IiioI @ X0 @ X0)))) ) | ~spl14_3),
% 10.34/1.88 inference(trivial_inequality_removal,[],[f8236])).
% 10.34/1.88 thf(f8263,plain,(
% 10.34/1.88 ($true = $false) | ~spl14_3),
% 10.34/1.88 inference(forward_demodulation,[],[f8237,f2361])).
% 10.34/1.88 thf(f8264,plain,(
% 10.34/1.88 $false | ~spl14_3),
% 10.34/1.88 inference(trivial_inequality_removal,[],[f8263])).
% 10.34/1.88 thf(f8265,plain,(
% 10.34/1.88 ~spl14_3),
% 10.34/1.88 inference(avatar_contradiction_clause,[],[f8264])).
% 10.34/1.88 thf(f8289,plain,(
% 10.34/1.88 ( ! [X0 : $i] : (($true != $true) | ($false = (((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) @ X0 @ X0)))) ) | ~spl14_1),
% 10.34/1.88 inference(constrained_superposition,[],[f1531,f2171])).
% 10.34/1.88 thf(f8290,plain,(
% 10.34/1.88 ( ! [X0 : $i] : (($false = (((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) @ X0 @ X0)))) ) | ~spl14_1),
% 10.34/1.88 inference(trivial_inequality_removal,[],[f8289])).
% 10.34/1.88 thf(f8291,plain,(
% 10.34/1.88 ($true = $false) | ~spl14_1),
% 10.34/1.88 inference(beta-eta_normalization,[],[f8290])).
% 10.34/1.88 thf(f8292,plain,(
% 10.34/1.88 $false | ~spl14_1),
% 10.34/1.88 inference(trivial_inequality_removal,[],[f8291])).
% 10.34/1.88 thf(f8293,plain,(
% 10.34/1.88 ~spl14_1),
% 10.34/1.88 inference(avatar_contradiction_clause,[],[f8292])).
% 10.34/1.88 cnf(s366, plain, spl14_1 | spl14_2, inference(sat_conversion,[],[f1602])).
% 10.34/1.88 cnf(s368, plain, ~spl14_2 | spl14_3, inference(sat_conversion,[],[f1607])).
% 10.34/1.88 cnf(s1246, plain, ~spl14_3, inference(sat_conversion,[],[f8265])).
% 10.34/1.88 cnf(s1319, plain, ~spl14_1, inference(sat_conversion,[],[f8293])).
% 10.34/1.88 cnf(s1321, plain, ~spl14_2, inference(rat,[],[s368,s1246])).
% 10.34/1.88 cnf(s1322, plain, $false, inference(rat,[],[s366,s1321,s1319])).
% 10.34/1.88 thf(f8301,plain,(
% 10.34/1.88 $false),
% 10.34/1.88 inference(avatar_sat_refutation,[],[s1322])).
% 10.34/1.88 % SZS output end Proof for theBenchmark
% 10.34/1.88 % (1610582)------------------------------
% 10.34/1.88 % (1610582)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.34/1.88 % (1610582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.34/1.88 % (1610582)CaDiCaL version: 2.1.3
% 10.34/1.88 % (1610582)Termination reason: Refutation
% 10.34/1.88 % (1610582)Time elapsed: 0.468 s
% 10.34/1.88 % (1610582)Peak memory usage: 18 MB
% 10.34/1.88 % (1610582)Instructions burned: 984 (million)
% 10.34/1.88 % (1610266)Success in time 1.671 s
% 10.34/1.88 % Vampire exiting
%------------------------------------------------------------------------------