%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : DAT124^1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n008.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 07:48:55 AM UTC 2026
% Result : Theorem 9.55s 1.78s
% Output : Refutation 9.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : DAT124^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n008.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 17:59:24 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 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
% 5.71/1.14 % (3513146)Will run a generic schedule for satisfiability detection.
% 5.71/1.14 % (3513151)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=709242930_2999 on theBenchmark for (2999ds/0Mi)
% 5.71/1.14 % (3513152)% WARNING: option uhcvi not known.
% 5.71/1.14 % (3513152)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=798905780:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 5.71/1.14 % (3513153)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2221591669:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 5.71/1.14 % (3513154)dis+10_1_sil=32000:sp=arity:random_seed=3601248348:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 5.71/1.14 % (3513156)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3186179101:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 5.71/1.14 % (3513155)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=521566201:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 5.71/1.14 % (3513157)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1261850911:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 5.71/1.14 % Exception at run slice level
% 5.71/1.14 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.71/1.14 % (3513152)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.71/1.14 % (3513155)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.71/1.14 % (3513165)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2216863895:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 5.71/1.14 % (3513152)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 5.71/1.14 % Exception at run slice level
% 5.71/1.14 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.71/1.14 % (3513154)Instruction limit reached!
% 5.71/1.14 % (3513154)------------------------------
% 5.71/1.14 % (3513154)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.71/1.14 % (3513154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.71/1.14 % (3513154)CaDiCaL version: 2.1.3
% 5.71/1.14 % (3513154)Termination reason: Instruction limit
% 5.71/1.14 % (3513154)Termination phase: Saturation
% 5.71/1.14 % (3513154)Time elapsed: 0.045 s
% 5.71/1.14 % (3513154)Peak memory usage: 12 MB
% 5.71/1.14 % (3513154)Instructions burned: 103 (million)
% 5.71/1.14 % (3513155)Instruction limit reached!
% 5.71/1.14 % (3513155)------------------------------
% 5.71/1.14 % (3513155)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.71/1.14 % (3513155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.71/1.14 % (3513155)CaDiCaL version: 2.1.3
% 5.71/1.14 % (3513155)Termination reason: Instruction limit
% 5.71/1.14 % (3513155)Termination phase: Saturation
% 5.71/1.14 % (3513155)Time elapsed: 0.052 s
% 5.71/1.14 % (3513155)Peak memory usage: 12 MB
% 5.71/1.14 % (3513155)Instructions burned: 116 (million)
% 5.71/1.14 % (3513167)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4076095552:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 5.71/1.14 % (3513156)Instruction limit reached!
% 5.71/1.14 % (3513156)------------------------------
% 5.71/1.14 % (3513156)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.71/1.14 % (3513156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.71/1.14 % (3513156)CaDiCaL version: 2.1.3
% 5.71/1.14 % (3513156)Termination reason: Instruction limit
% 5.71/1.14 % (3513156)Termination phase: Saturation
% 5.71/1.14 % (3513156)Time elapsed: 0.058 s
% 5.71/1.14 % (3513156)Peak memory usage: 13 MB
% 5.71/1.14 % (3513156)Instructions burned: 131 (million)
% 5.71/1.14 % (3513168)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=2783235179:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 5.71/1.14 % (3513169)ott-21_1_sil=16000:fs=off:random_seed=2506494510:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 5.71/1.14 % (3513171)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=905115250:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 5.71/1.14 % (3513168)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 9.55/1.78 % (3513167)Instruction limit reached!
% 9.55/1.78 % (3513167)------------------------------
% 9.55/1.78 % (3513167)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.55/1.78 % (3513167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.55/1.78 % (3513167)CaDiCaL version: 2.1.3
% 9.55/1.78 % (3513167)Termination reason: Instruction limit
% 9.55/1.78 % (3513167)Termination phase: Saturation
% 9.55/1.78 % (3513167)Time elapsed: 0.031 s
% 9.55/1.78 % (3513167)Peak memory usage: 13 MB
% 9.55/1.78 % (3513167)Instructions burned: 131 (million)
% 9.55/1.78 % (3513157)Instruction limit reached!
% 9.55/1.78 % (3513157)------------------------------
% 9.55/1.78 % (3513157)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.55/1.78 % (3513157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.55/1.78 % (3513157)CaDiCaL version: 2.1.3
% 9.55/1.78 % (3513157)Termination reason: Instruction limit
% 9.55/1.78 % (3513157)Termination phase: Saturation
% 9.55/1.78 % (3513157)Time elapsed: 0.096 s
% 9.55/1.78 % (3513157)Peak memory usage: 13 MB
% 9.55/1.78 % (3513157)Instructions burned: 159 (million)
% 9.55/1.78 % (3513175)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1439489358:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 9.55/1.78 % (3513168)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 9.55/1.78 % Exception at run slice level
% 9.55/1.78 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 9.55/1.78 % (3513177)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3344367463:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 9.55/1.78 % (3513178)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=385448706:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 9.55/1.78 % Exception at run slice level
% 9.55/1.78 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 9.55/1.78 % (3513169)Instruction limit reached!
% 9.55/1.78 % (3513169)------------------------------
% 9.55/1.78 % (3513169)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.55/1.78 % (3513169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.55/1.78 % (3513169)CaDiCaL version: 2.1.3
% 9.55/1.78 % (3513169)Termination reason: Instruction limit
% 9.55/1.78 % (3513169)Termination phase: Saturation
% 9.55/1.78 % (3513169)Time elapsed: 0.088 s
% 9.55/1.78 % (3513169)Peak memory usage: 13 MB
% 9.55/1.78 % (3513169)Instructions burned: 181 (million)
% 9.55/1.78 % (3513181)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=909753524: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)
% 9.55/1.78 % (3513181)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 9.55/1.78 % (3513182)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=570752599:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 9.55/1.78 % (3513182)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 9.55/1.78 % (3513171)Instruction limit reached!
% 9.55/1.78 % (3513171)------------------------------
% 9.55/1.78 % (3513171)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.55/1.78 % (3513171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.55/1.78 % (3513171)CaDiCaL version: 2.1.3
% 9.55/1.78 % (3513171)Termination reason: Instruction limit
% 9.55/1.78 % (3513171)Termination phase: Saturation
% 9.55/1.78 % (3513171)Time elapsed: 0.242 s
% 9.55/1.78 % (3513171)Peak memory usage: 15 MB
% 9.55/1.78 % (3513171)Instructions burned: 478 (million)
% 9.55/1.78 % (3513228)fmb+10_1_sil=64000:random_seed=4084576699:i=22061:nm=2:gsp=on_2996 on theBenchmark for (2996ds/22061Mi)
% 9.55/1.78 % (3513181)Instruction limit reached!
% 9.55/1.78 % (3513181)------------------------------
% 9.55/1.78 % (3513181)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.55/1.78 % (3513181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.55/1.78 % (3513181)CaDiCaL version: 2.1.3
% 9.55/1.78 % (3513181)Termination reason: Instruction limit
% 9.55/1.78 % (3513181)Termination phase: Saturation
% 9.55/1.78 % (3513181)Time elapsed: 0.184 s
% 9.55/1.78 % (3513181)Peak memory usage: 17 MB
% 9.55/1.78 % (3513181)Instructions burned: 693 (million)
% 9.55/1.78 % (3513245)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3398071237:i=9515:nm=5_2995 on theBenchmark for (2995ds/9515Mi)
% 9.55/1.78 % (3513228)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 9.55/1.78 % Exception at run slice level
% 9.55/1.78 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 9.55/1.78 % Exception at run slice level
% 9.55/1.78 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 9.55/1.78 % (3513168)Instruction limit reached!
% 9.55/1.78 % (3513168)------------------------------
% 9.55/1.78 % (3513168)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.55/1.78 % (3513168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.55/1.78 % (3513168)CaDiCaL version: 2.1.3
% 9.55/1.78 % (3513168)Termination reason: Instruction limit
% 9.55/1.78 % (3513168)Termination phase: Saturation
% 9.55/1.78 % (3513168)Time elapsed: 0.323 s
% 9.55/1.78 % (3513168)Peak memory usage: 16 MB
% 9.55/1.78 % (3513168)Instructions burned: 685 (million)
% 9.55/1.78 % (3513255)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=9439135:fmbsr=1.7:i=920_2995 on theBenchmark for (2995ds/920Mi)
% 9.55/1.78 % (3513256)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=353051276:i=5131_2995 on theBenchmark for (2995ds/5131Mi)
% 9.55/1.78 % (3513259)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=4069735246:i=1472:ins=7:fdi=8:gsp=on_2995 on theBenchmark for (2995ds/1472Mi)
% 9.55/1.78 % (3513256)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 9.55/1.78 % Exception at run slice level
% 9.55/1.78 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 9.55/1.78 % (3513259)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 9.55/1.78 % (3513278)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=450930614:i=6324_2995 on theBenchmark for (2995ds/6324Mi)
% 9.55/1.78 % (3513259)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 9.55/1.78 % Exception at run slice level
% 9.55/1.78 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 9.55/1.78 % (3513291)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2394134760:fmbsr=2.30978:i=2174_2994 on theBenchmark for (2994ds/2174Mi)
% 9.55/1.78 % Exception at run slice level
% 9.55/1.78 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 9.55/1.78 % (3513306)ott-2_1_sil=16000:newcnf=on:random_seed=3721868876:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2993 on theBenchmark for (2993ds/869Mi)
% 9.55/1.78 % (3513306)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 9.55/1.78 % (3513182)Instruction limit reached!
% 9.55/1.78 % (3513182)------------------------------
% 9.55/1.78 % (3513182)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.55/1.78 % (3513182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.55/1.78 % (3513182)CaDiCaL version: 2.1.3
% 9.55/1.78 % (3513182)Termination reason: Instruction limit
% 9.55/1.78 % (3513182)Termination phase: Saturation
% 9.55/1.78 % (3513182)Time elapsed: 0.442 s
% 9.55/1.78 % (3513182)Peak memory usage: 18 MB
% 9.55/1.78 % (3513182)Instructions burned: 880 (million)
% 9.55/1.78 % (3513323)ott+10_1_sil=32000:tgt=ground:random_seed=3063577202:i=5114:av=off_2993 on theBenchmark for (2993ds/5114Mi)
% 9.55/1.78 % (3513177)Instruction limit reached!
% 9.55/1.78 % (3513177)------------------------------
% 9.55/1.78 % (3513177)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.55/1.78 % (3513177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.55/1.78 % (3513177)CaDiCaL version: 2.1.3
% 9.55/1.78 % (3513177)Termination reason: Instruction limit
% 9.55/1.78 % (3513177)Termination phase: Saturation
% 9.55/1.78 % (3513177)Time elapsed: 0.628 s
% 9.55/1.78 % (3513177)Peak memory usage: 20 MB
% 9.55/1.78 % (3513177)Instructions burned: 1179 (million)
% 9.55/1.78 % (3513348)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=394023988:i=54282_2991 on theBenchmark for (2991ds/54282Mi)
% 9.55/1.78 % Exception at run slice level
% 9.55/1.78 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 9.55/1.78 % (3513359)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=3588178053:i=3512:aac=none_2990 on theBenchmark for (2990ds/3512Mi)
% 9.55/1.78 % (3513359)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 9.55/1.78 % (3513306)Instruction limit reached!
% 9.55/1.78 % (3513306)------------------------------
% 9.55/1.78 % (3513306)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.55/1.78 % (3513306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.55/1.78 % (3513306)CaDiCaL version: 2.1.3
% 9.55/1.78 % (3513306)Termination reason: Instruction limit
% 9.55/1.78 % (3513306)Termination phase: Saturation
% 9.55/1.78 % (3513306)Time elapsed: 0.639 s
% 9.55/1.78 % (3513306)Peak memory usage: 17 MB
% 9.55/1.78 % (3513306)Instructions burned: 870 (million)
% 9.55/1.78 % (3513377)dis+21_1_sil=32000:sas=cadical:random_seed=1365750945:i=3773:amm=off_2987 on theBenchmark for (2987ds/3773Mi)
% 9.55/1.78 % (3513259)Instruction limit reached!
% 9.55/1.78 % (3513259)------------------------------
% 9.55/1.78 % (3513259)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.55/1.78 % (3513259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.55/1.78 % (3513259)CaDiCaL version: 2.1.3
% 9.55/1.78 % (3513259)Termination reason: Instruction limit
% 9.55/1.78 % (3513259)Termination phase: Saturation
% 9.55/1.78 % (3513259)Time elapsed: 1.029 s
% 9.55/1.78 % (3513259)Peak memory usage: 17 MB
% 9.55/1.78 % (3513259)Instructions burned: 1473 (million)
% 9.55/1.78 % (3513384)ott+11_1_sil=16000:gs=on:random_seed=2609590978:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2985 on theBenchmark for (2985ds/2251Mi)
% 9.55/1.78 % (3513256) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3513146-3513256"...
% 9.55/1.78 % (3513256)...printing done.
% 9.55/1.78 % (3513256)Refutation found. Thanks to Tanya!
% 9.55/1.78 % SZS status Theorem for theBenchmark
% 9.55/1.78 % SZS output start Proof for theBenchmark
% 9.55/1.78 thf(type_def_5, type, coindu1593790203_llist: $tType > $tType).
% 9.55/1.78 thf(type_def_6, type, extended_enat: $tType).
% 9.55/1.78 thf(type_def_7, type, itself: $tType > $tType).
% 9.55/1.78 thf(type_def_8, type, a: $tType).
% 9.55/1.78 thf(type_def_9, type, sTfun: ($tType * $tType) > $tType).
% 9.55/1.78 thf(func_def_0, type, type: !>[X0: $tType]:((itself @ X0 > $o))).
% 9.55/1.78 thf(func_def_1, type, ord: !>[X0: $tType]:((itself @ X0 > $o))).
% 9.55/1.78 thf(func_def_2, type, order: !>[X0: $tType]:((itself @ X0 > $o))).
% 9.55/1.78 thf(func_def_3, type, group_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 9.55/1.78 thf(func_def_4, type, no_bot: !>[X0: $tType]:((itself @ X0 > $o))).
% 9.55/1.78 thf(func_def_5, type, no_top: !>[X0: $tType]:((itself @ X0 > $o))).
% 9.55/1.78 thf(func_def_6, type, linorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 9.55/1.78 thf(func_def_7, type, preorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 9.55/1.78 thf(func_def_8, type, ab_group_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 9.55/1.78 thf(func_def_9, type, wellorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 9.55/1.78 thf(func_def_10, type, semigroup_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 9.55/1.78 thf(func_def_11, type, dense_order: !>[X0: $tType]:((itself @ X0 > $o))).
% 9.55/1.78 thf(func_def_12, type, linordered_idom: !>[X0: $tType]:((itself @ X0 > $o))).
% 9.55/1.78 thf(func_def_13, type, ab_semigroup_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 9.55/1.78 thf(func_def_14, type, dense_linorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 9.55/1.78 thf(func_def_15, type, linordered_semidom: !>[X0: $tType]:((itself @ X0 > $o))).
% 9.55/1.78 thf(func_def_16, type, cancel_semigroup_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 9.55/1.78 thf(func_def_17, type, ordered_ab_group_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 9.55/1.78 thf(func_def_18, type, cancel1352612707id_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 9.55/1.78 thf(func_def_19, type, cancel146912293up_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 9.55/1.78 thf(func_def_20, type, ordere779506340up_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 9.55/1.78 thf(func_def_21, type, canoni770627133id_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 9.55/1.78 thf(func_def_22, type, ordere236663937imp_le: !>[X0: $tType]:((itself @ X0 > $o))).
% 9.55/1.78 thf(func_def_23, type, ordere223160158up_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 9.55/1.78 thf(func_def_24, type, ordere623563068d_diff: !>[X0: $tType]:((itself @ X0 > $o))).
% 9.55/1.78 thf(func_def_25, type, strict2144017051up_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 9.55/1.78 thf(func_def_26, type, condit1656338222tinuum: !>[X0: $tType]:((itself @ X0 > $o))).
% 9.55/1.78 thf(func_def_27, type, condit1037483654norder: !>[X0: $tType]:((itself @ X0 > $o))).
% 9.55/1.78 thf(func_def_28, type, coindu268472904append: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 9.55/1.78 thf(func_def_29, type, coindu191418589_ldrop: !>[X0: $tType]:((extended_enat > coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 9.55/1.78 thf(func_def_30, type, coindu1018505716length: !>[X0: $tType]:((coindu1593790203_llist @ X0 > extended_enat))).
% 9.55/1.78 thf(func_def_31, type, coindu1598213697e_LNil: !>[X0: $tType]:(coindu1593790203_llist @ X0)).
% 9.55/1.78 thf(func_def_32, type, coindu335574135_lnull: !>[X0: $tType]:((coindu1593790203_llist @ X0 > $o))).
% 9.55/1.78 thf(func_def_33, type, coindu1696667936prefix: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > $o))).
% 9.55/1.78 thf(func_def_34, type, coindu574146665prefix: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > $o))).
% 9.55/1.78 thf(func_def_35, type, coindu1802687541_ltake: !>[X0: $tType]:((extended_enat > coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 9.55/1.78 thf(func_def_36, type, minus_minus: !>[X0: $tType]:((X0 > X0 > X0))).
% 9.55/1.78 thf(func_def_37, type, plus_plus: !>[X0: $tType]:((X0 > X0 > X0))).
% 9.55/1.78 thf(func_def_38, type, ord_less: !>[X0: $tType]:((X0 > X0 > $o))).
% 9.55/1.78 thf(func_def_39, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 9.55/1.78 thf(func_def_40, type, type2: !>[X0: $tType]:(itself @ X0)).
% 9.55/1.78 thf(func_def_41, type, xs: coindu1593790203_llist @ a).
% 9.55/1.78 thf(func_def_42, type, xs2: coindu1593790203_llist @ a).
% 9.55/1.78 thf(func_def_43, type, ys: coindu1593790203_llist @ a).
% 9.55/1.78 thf(func_def_44, type, zs: coindu1593790203_llist @ a).
% 9.55/1.78 thf(func_def_48, type, vOR: ($o > $o > $o)).
% 9.55/1.78 thf(func_def_49, type, vAND: ($o > $o > $o)).
% 9.55/1.78 thf(func_def_50, type, db1: !>[X0: $tType]:(X0)).
% 9.55/1.78 thf(func_def_51, type, db0: !>[X0: $tType]:(X0)).
% 9.55/1.78 thf(func_def_52, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 9.55/1.78 thf(func_def_53, type, vNOT: ($o > $o)).
% 9.55/1.78 thf(func_def_54, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 9.55/1.78 thf(func_def_55, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 9.55/1.78 thf(func_def_56, type, db2: !>[X0: $tType]:(X0)).
% 9.55/1.78 thf(func_def_57, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 9.55/1.78 thf(func_def_58, type, sP0: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 9.55/1.78 thf(func_def_59, type, sP1: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 9.55/1.78 thf(func_def_60, type, sP2: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 9.55/1.78 thf(func_def_61, type, sK3: coindu1593790203_llist @ a).
% 9.55/1.78 thf(func_def_62, type, sK4: ((extended_enat > $o) > extended_enat)).
% 9.55/1.78 thf(func_def_63, type, sK5: !>[X0: $tType, X1: $tType]:((X1 > X0))).
% 9.55/1.78 thf(func_def_64, type, sK6: !>[X0: $tType]:((X0 > X0))).
% 9.55/1.78 thf(func_def_65, type, sK7: !>[X0: $tType]:((X0 > X0))).
% 9.55/1.78 thf(func_def_66, type, sK8: !>[X0: $tType]:((X0 > X0))).
% 9.55/1.78 thf(func_def_67, type, sK9: !>[X0: $tType]:((X0 > X0))).
% 9.55/1.78 thf(func_def_68, type, sK10: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > $o) > (X0 > $o) > X0))).
% 9.55/1.78 thf(func_def_69, type, sK11: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 9.55/1.78 thf(func_def_70, type, sK12: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 9.55/1.78 thf(func_def_71, type, sK13: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 9.55/1.78 thf(func_def_72, type, sK14: !>[X0: $tType]:(((coindu1593790203_llist @ X0 > $o) > coindu1593790203_llist @ X0))).
% 9.55/1.78 thf(func_def_73, type, sK15: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 9.55/1.78 thf(func_def_74, type, sK16: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 9.55/1.78 thf(func_def_75, type, sK17: !>[X0: $tType]:((X0 > X0))).
% 9.55/1.78 thf(func_def_76, type, sK18: !>[X0: $tType]:((X0 > X0))).
% 9.55/1.78 thf(func_def_77, type, sK19: !>[X0: $tType]:((X0 > X0))).
% 9.55/1.78 thf(func_def_78, type, sK20: !>[X0: $tType]:((X0 > X0))).
% 9.55/1.78 thf(func_def_79, type, sK21: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > $o) > (X0 > $o) > X0))).
% 9.55/1.78 thf(func_def_80, type, sK22: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 9.55/1.78 thf(func_def_81, type, sK23: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 9.55/1.78 thf(func_def_82, type, sK24: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > $o) > (X0 > $o) > X0))).
% 9.55/1.78 thf(func_def_83, type, sK25: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 9.55/1.78 thf(func_def_84, type, sK26: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 9.55/1.78 thf(func_def_85, type, sK27: !>[X0: $tType]:((X0 > X0))).
% 9.55/1.78 thf(func_def_86, type, sK28: !>[X0: $tType]:((X0 > X0))).
% 9.55/1.78 thf(func_def_87, type, sK29: !>[X0: $tType]:((X0 > X0))).
% 9.55/1.78 thf(func_def_88, type, sK30: !>[X0: $tType]:((X0 > X0))).
% 9.55/1.78 thf(func_def_89, type, sK31: !>[X0: $tType, X1: $tType]:((X1 > X0))).
% 9.55/1.78 thf(func_def_90, type, sK32: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > $o) > (X0 > $o) > X0))).
% 9.55/1.78 thf(func_def_91, type, sK33: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 9.55/1.78 thf(func_def_92, type, sK34: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 9.55/1.78 thf(func_def_93, type, sK35: !>[X0: $tType]:(((X0 > $o) > X0 > X0 > X0))).
% 9.55/1.78 thf(func_def_94, type, sK36: !>[X0: $tType]:((X0 > (X0 > $o) > X0 > X0))).
% 9.55/1.78 thf(func_def_95, type, sK37: !>[X0: $tType]:((X0 > X0 > X0 > X0))).
% 9.55/1.78 thf(func_def_96, type, sK38: !>[X0: $tType]:((X0 > X0 > X0 > X0))).
% 9.55/1.78 thf(func_def_97, type, sK39: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 9.55/1.78 thf(func_def_98, type, sK40: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 9.55/1.78 thf(func_def_99, type, sK41: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 9.55/1.78 thf(func_def_100, type, sK42: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 9.55/1.78 thf(func_def_101, type, sK43: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 9.55/1.78 thf(func_def_102, type, sK44: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 9.55/1.78 thf(func_def_103, type, sK45: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 9.55/1.78 thf(func_def_104, type, sK46: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 9.55/1.78 thf(func_def_105, type, sK47: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 9.55/1.78 thf(func_def_106, type, sK48: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 9.55/1.78 thf(func_def_107, type, sK49: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 9.55/1.78 thf(func_def_108, type, sK50: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 9.55/1.78 thf(func_def_109, type, sK51: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 9.55/1.78 thf(func_def_110, type, sK52: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 9.55/1.78 thf(func_def_111, type, sK53: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 9.55/1.78 thf(func_def_112, type, sK54: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 9.55/1.78 thf(func_def_113, type, sK55: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 9.55/1.78 thf(func_def_114, type, sK56: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 9.55/1.78 thf(func_def_115, type, sK57: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 9.55/1.78 thf(func_def_116, type, sK58: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 9.55/1.78 thf(func_def_117, type, sK59: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 9.55/1.78 thf(func_def_118, type, sK60: !>[X0: $tType]:((X0 > X0))).
% 9.55/1.78 thf(func_def_119, type, sK61: !>[X0: $tType]:((X0 > X0))).
% 9.55/1.78 thf(func_def_120, type, sK62: !>[X0: $tType]:((X0 > X0 > X0))).
% 9.55/1.78 thf(func_def_121, type, sK63: !>[X0: $tType]:(((X0 > $o) > X0))).
% 9.55/1.78 thf(func_def_122, type, sK64: !>[X0: $tType]:((X0 > X0))).
% 9.55/1.78 thf(func_def_123, type, sK65: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 9.55/1.78 thf(func_def_124, type, sK66: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 9.55/1.78 thf(func_def_125, type, sK67: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 9.55/1.78 thf(func_def_126, type, sK68: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 9.55/1.78 thf(func_def_127, type, sK69: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 9.55/1.78 thf(func_def_128, type, sK70: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 9.55/1.78 thf(func_def_129, type, sK71: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 9.55/1.78 thf(func_def_130, type, sK72: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 9.55/1.78 thf(func_def_131, type, sK73: !>[X0: $tType]:((X0 > X0 > X0))).
% 9.55/1.78 thf(func_def_132, type, sK74: !>[X0: $tType]:((X0 > X0 > X0))).
% 9.55/1.78 thf(func_def_133, type, sK75: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 9.55/1.78 thf(func_def_134, type, sK76: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 9.55/1.78 thf(func_def_135, type, sK77: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 9.55/1.78 thf(func_def_136, type, sK78: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 9.55/1.78 thf(func_def_137, type, sK79: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 9.55/1.78 thf(func_def_138, type, sK80: !>[X0: $tType]:((extended_enat > coindu1593790203_llist @ X0 > extended_enat > coindu1593790203_llist @ X0))).
% 9.55/1.78 thf(func_def_139, type, sK81: !>[X0: $tType]:((extended_enat > extended_enat > coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 9.55/1.78 thf(func_def_140, type, sK82: !>[X0: $tType]:((extended_enat > coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 9.55/1.78 thf(func_def_141, type, sK83: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 9.55/1.78 thf(func_def_142, type, sK84: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 9.55/1.78 thf(func_def_143, type, sK85: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 9.55/1.78 thf(func_def_144, type, sK86: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 9.55/1.78 thf(func_def_145, type, sK87: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 9.55/1.78 thf(func_def_146, type, sK88: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 9.55/1.78 thf(func_def_147, type, sK89: coindu1593790203_llist @ a).
% 9.55/1.78 thf(func_def_148, type, sK90: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 9.55/1.78 thf(func_def_149, type, sK91: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 9.55/1.78 thf(f1,axiom,(
% 9.55/1.78 ~(ord_less_eq @ extended_enat @ (coindu1018505716length @ a @ ys) @ (coindu1018505716length @ a @ xs))),
% 9.55/1.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0__092_060open_062_092_060not_062_Allength_Ays_A_092_060le_062_Allength_Axs_092_060close_062)).
% 9.55/1.78 thf(f121,axiom,(
% 9.55/1.78 ! [X0 : $tType] : ((linorder @ X0 @ type2 @ X0) => ! [X1 : X0,X2 : X0] : (~(ord_less @ X0 @ X1 @ X2) => (ord_less_eq @ X0 @ X2 @ X1)))),
% 9.55/1.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_120_leI)).
% 9.55/1.78 thf(f270,axiom,(
% 9.55/1.78 (linorder @ extended_enat @ type2 @ extended_enat)),
% 9.55/1.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Orderings_Olinorder_5)).
% 9.55/1.78 thf(f273,conjecture,(
% 9.55/1.78 (ord_less @ extended_enat @ (coindu1018505716length @ a @ xs) @ (coindu1018505716length @ a @ ys))),
% 9.55/1.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 9.55/1.78 thf(f274,negated_conjecture,(
% 9.55/1.78 ~(ord_less @ extended_enat @ (coindu1018505716length @ a @ xs) @ (coindu1018505716length @ a @ ys))),
% 9.55/1.78 inference(negated_conjecture,[status(cth)],[f273])).
% 9.55/1.78 thf(f275,plain,(
% 9.55/1.78 ~(ord_less_eq @ extended_enat @ (coindu1018505716length @ a @ ys) @ (coindu1018505716length @ a @ xs))),
% 9.55/1.78 inference(rectify,[],[f1])).
% 9.55/1.78 thf(f276,plain,(
% 9.55/1.78 ~ (((ord_less_eq @ extended_enat @ (coindu1018505716length @ a @ ys) @ (coindu1018505716length @ a @ xs))) = $true)),
% 9.55/1.78 inference(fool_elimination,[],[f275])).
% 9.55/1.78 thf(f504,plain,(
% 9.55/1.78 ! [X0 : $tType] : ((linorder @ X0 @ type2 @ X0) => ! [X1 : X0,X2 : X0] : (~(ord_less @ X0 @ X1 @ X2) => (ord_less_eq @ X0 @ X2 @ X1)))),
% 9.55/1.78 inference(rectify,[],[f121])).
% 9.55/1.78 thf(f505,plain,(
% 9.55/1.78 ! [X0 : $tType] : ((((linorder @ X0 @ type2 @ X0)) = $true) => ! [X1 : X0,X2 : X0] : (~ (((ord_less @ X0 @ X1 @ X2)) = $true) => (((ord_less_eq @ X0 @ X2 @ X1)) = $true)))),
% 9.55/1.78 inference(fool_elimination,[],[f504])).
% 9.55/1.78 thf(f772,plain,(
% 9.55/1.78 (linorder @ extended_enat @ type2 @ extended_enat)),
% 9.55/1.78 inference(rectify,[],[f270])).
% 9.55/1.78 thf(f773,plain,(
% 9.55/1.78 (((linorder @ extended_enat @ type2 @ extended_enat)) = $true)),
% 9.55/1.78 inference(fool_elimination,[],[f772])).
% 9.55/1.78 thf(f778,plain,(
% 9.55/1.78 ~(ord_less @ extended_enat @ (coindu1018505716length @ a @ xs) @ (coindu1018505716length @ a @ ys))),
% 9.55/1.78 inference(rectify,[],[f274])).
% 9.55/1.78 thf(f779,plain,(
% 9.55/1.78 ~ (((ord_less @ extended_enat @ (coindu1018505716length @ a @ xs) @ (coindu1018505716length @ a @ ys))) = $true)),
% 9.55/1.78 inference(fool_elimination,[],[f778])).
% 9.55/1.78 thf(f780,plain,(
% 9.55/1.78 (((ord_less_eq @ extended_enat @ (coindu1018505716length @ a @ ys) @ (coindu1018505716length @ a @ xs))) != $true)),
% 9.55/1.78 inference(flattening,[],[f276])).
% 9.55/1.78 thf(f802,plain,(
% 9.55/1.78 ! [X0 : $tType] : ((((linorder @ X0 @ type2 @ X0)) = $true) => ! [X1 : X0,X2 : X0] : ((((ord_less @ X0 @ X1 @ X2)) != $true) => (((ord_less_eq @ X0 @ X2 @ X1)) = $true)))),
% 9.55/1.78 inference(flattening,[],[f505])).
% 9.55/1.78 thf(f812,plain,(
% 9.55/1.78 (((ord_less @ extended_enat @ (coindu1018505716length @ a @ xs) @ (coindu1018505716length @ a @ ys))) != $true)),
% 9.55/1.78 inference(flattening,[],[f779])).
% 9.55/1.78 thf(f961,plain,(
% 9.55/1.78 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((((ord_less_eq @ X0 @ X2 @ X1)) = $true) | (((ord_less @ X0 @ X1 @ X2)) = $true)) | (((linorder @ X0 @ type2 @ X0)) != $true))),
% 9.55/1.78 inference(ennf_transformation,[],[f802])).
% 9.55/1.78 thf(f1171,plain,(
% 9.55/1.78 (((ord_less_eq @ extended_enat @ (coindu1018505716length @ a @ ys) @ (coindu1018505716length @ a @ xs))) != $true)),
% 9.55/1.78 inference(cnf_transformation,[],[f780])).
% 9.55/1.78 thf(f1344,plain,(
% 9.55/1.78 ( ! [X0 : $tType,X2 : X0,X1 : X0] : ((((linorder @ X0 @ type2 @ X0)) != $true) | (((ord_less @ X0 @ X1 @ X2)) = $true) | (((ord_less_eq @ X0 @ X2 @ X1)) = $true)) )),
% 9.55/1.78 inference(cnf_transformation,[],[f961])).
% 9.55/1.78 thf(f1503,plain,(
% 9.55/1.78 (((linorder @ extended_enat @ type2 @ extended_enat)) = $true)),
% 9.55/1.78 inference(cnf_transformation,[],[f773])).
% 9.55/1.78 thf(f1506,plain,(
% 9.55/1.78 (((ord_less @ extended_enat @ (coindu1018505716length @ a @ xs) @ (coindu1018505716length @ a @ ys))) != $true)),
% 9.55/1.78 inference(cnf_transformation,[],[f812])).
% 9.55/1.78 thf(f3807,plain,(
% 9.55/1.78 ( ! [X0 : extended_enat,X1 : extended_enat] : (($true != $true) | ($true = ((ord_less @ extended_enat @ X0 @ X1))) | ($true = ((ord_less_eq @ extended_enat @ X1 @ X0)))) )),
% 9.55/1.78 inference(constrained_superposition,[],[f1344,f1503])).
% 9.55/1.78 thf(f3813,plain,(
% 9.55/1.78 ( ! [X0 : extended_enat,X1 : extended_enat] : (($true = ((ord_less @ extended_enat @ X0 @ X1))) | ($true = ((ord_less_eq @ extended_enat @ X1 @ X0)))) )),
% 9.55/1.78 inference(trivial_inequality_removal,[],[f3807])).
% 9.55/1.78 thf(f17744,plain,(
% 9.55/1.78 ($true != $true) | (((ord_less @ extended_enat @ (coindu1018505716length @ a @ xs) @ (coindu1018505716length @ a @ ys))) = $true)),
% 9.55/1.78 inference(constrained_superposition,[],[f1171,f3813])).
% 9.55/1.78 thf(f17762,plain,(
% 9.55/1.78 (((ord_less @ extended_enat @ (coindu1018505716length @ a @ xs) @ (coindu1018505716length @ a @ ys))) = $true)),
% 9.55/1.78 inference(trivial_inequality_removal,[],[f17744])).
% 9.55/1.78 thf(f17795,plain,(
% 9.55/1.78 $false),
% 9.55/1.78 inference(forward_subsumption_resolution,[],[f17762,f1506])).
% 9.55/1.78 % SZS output end Proof for theBenchmark
% 9.55/1.78 % (3513256)------------------------------
% 9.55/1.78 % (3513256)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.55/1.78 % (3513256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.55/1.78 % (3513256)CaDiCaL version: 2.1.3
% 9.55/1.78 % (3513256)Termination reason: Refutation
% 9.55/1.78 % (3513256)Time elapsed: 1.081 s
% 9.55/1.78 % (3513256)Peak memory usage: 33 MB
% 9.55/1.78 % (3513256)Instructions burned: 3320 (million)
% 9.55/1.78 % (3513146)Success in time 1.541 s
% 9.55/1.78 % Vampire exiting
%------------------------------------------------------------------------------