%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP197^2 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n010.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 08:11:04 AM UTC 2026
% Result : Theorem 73.79s 10.74s
% Output : Refutation 73.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP197^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n010.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 20:11:03 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 Running first-order model finding
% 0.08/0.23 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
% 6.93/1.36 % (3348100)Will run a generic schedule for satisfiability detection.
% 6.93/1.36 % (3348107)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3740484207:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 6.93/1.36 % (3348106)% WARNING: option uhcvi not known.
% 6.93/1.36 % (3348105)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=644695150_2999 on theBenchmark for (2999ds/0Mi)
% 6.93/1.36 % (3348106)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=427551196:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 6.93/1.36 % (3348108)dis+10_1_sil=32000:sp=arity:random_seed=1981230755:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 6.93/1.36 % (3348109)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=368900377:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 6.93/1.36 % (3348106)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 6.93/1.36 % (3348109)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 6.93/1.36 % (3348111)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2684155607:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 6.93/1.36 % (3348110)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1490873372:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 6.93/1.36 % Exception at run slice level
% 6.93/1.36 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 6.93/1.36 % (3348106)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 6.93/1.36 % (3348108)Instruction limit reached!
% 6.93/1.36 % (3348108)------------------------------
% 6.93/1.36 % (3348108)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.93/1.36 % (3348108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/1.36 % (3348108)CaDiCaL version: 2.1.3
% 6.93/1.36 % (3348108)Termination reason: Instruction limit
% 6.93/1.36 % (3348108)Termination phase: Saturation
% 6.93/1.36 % (3348108)Time elapsed: 0.047 s
% 6.93/1.36 % (3348108)Peak memory usage: 12 MB
% 6.93/1.36 % (3348108)Instructions burned: 103 (million)
% 6.93/1.36 % (3348109)Instruction limit reached!
% 6.93/1.36 % (3348109)------------------------------
% 6.93/1.36 % (3348109)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.93/1.36 % (3348109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/1.36 % (3348109)CaDiCaL version: 2.1.3
% 6.93/1.36 % (3348109)Termination reason: Instruction limit
% 6.93/1.36 % (3348109)Termination phase: Saturation
% 6.93/1.36 % (3348109)Time elapsed: 0.053 s
% 6.93/1.36 % (3348109)Peak memory usage: 13 MB
% 6.93/1.36 % (3348109)Instructions burned: 116 (million)
% 6.93/1.36 % (3348119)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1478703722:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 6.93/1.36 % (3348120)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1290253056:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 6.93/1.36 % (3348121)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=3319101637:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 6.93/1.36 % (3348121)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 6.93/1.36 % Exception at run slice level
% 6.93/1.36 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 6.93/1.36 % (3348121)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 6.93/1.36 % (3348110)Instruction limit reached!
% 6.93/1.36 % (3348110)------------------------------
% 6.93/1.36 % (3348110)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.93/1.36 % (3348110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/1.36 % (3348110)CaDiCaL version: 2.1.3
% 6.93/1.36 % (3348110)Termination reason: Instruction limit
% 6.93/1.36 % (3348110)Termination phase: Saturation
% 6.93/1.36 % (3348110)Time elapsed: 0.093 s
% 6.93/1.36 % (3348110)Peak memory usage: 13 MB
% 6.93/1.36 % (3348110)Instructions burned: 131 (million)
% 6.93/1.36 % (3348125)ott-21_1_sil=16000:fs=off:random_seed=1874209215:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 6.93/1.36 % (3348120)Instruction limit reached!
% 22.29/3.44 % (3348120)------------------------------
% 22.29/3.44 % (3348120)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.29/3.44 % (3348120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.29/3.44 % (3348120)CaDiCaL version: 2.1.3
% 22.29/3.44 % (3348120)Termination reason: Instruction limit
% 22.29/3.44 % (3348120)Termination phase: Saturation
% 22.29/3.44 % (3348120)Time elapsed: 0.062 s
% 22.29/3.44 % (3348120)Peak memory usage: 13 MB
% 22.29/3.44 % (3348120)Instructions burned: 132 (million)
% 22.29/3.44 % (3348126)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=169639187:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 22.29/3.44 % (3348128)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2477976263:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 22.29/3.44 % (3348111)Instruction limit reached!
% 22.29/3.44 % (3348111)------------------------------
% 22.29/3.44 % (3348111)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.29/3.44 % (3348111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.29/3.44 % (3348111)CaDiCaL version: 2.1.3
% 22.29/3.44 % (3348111)Termination reason: Instruction limit
% 22.29/3.44 % (3348111)Termination phase: Saturation
% 22.29/3.44 % (3348111)Time elapsed: 0.135 s
% 22.29/3.44 % (3348111)Peak memory usage: 13 MB
% 22.29/3.44 % (3348111)Instructions burned: 159 (million)
% 22.29/3.44 % (3348131)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1874762701:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 22.29/3.44 % (3348125)Instruction limit reached!
% 22.29/3.44 % (3348125)------------------------------
% 22.29/3.44 % (3348125)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.29/3.44 % (3348125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.29/3.44 % (3348125)CaDiCaL version: 2.1.3
% 22.29/3.44 % (3348125)Termination reason: Instruction limit
% 22.29/3.44 % (3348125)Termination phase: Saturation
% 22.29/3.44 % (3348125)Time elapsed: 0.082 s
% 22.29/3.44 % (3348125)Peak memory usage: 13 MB
% 22.29/3.44 % (3348125)Instructions burned: 181 (million)
% 22.29/3.44 % (3348133)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=4156512948:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 22.29/3.44 % Exception at run slice level
% 22.29/3.44 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 22.29/3.44 % (3348135)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=3761709867: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)
% 22.29/3.44 % (3348135)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 22.29/3.44 % Exception at run slice level
% 22.29/3.44 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 22.29/3.44 % (3348137)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1693433126:i=879:kws=inv_precedence:fsr=off_2996 on theBenchmark for (2996ds/879Mi)
% 22.29/3.44 % (3348137)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 22.29/3.44 % (3348121)Instruction limit reached!
% 22.29/3.44 % (3348121)------------------------------
% 22.29/3.44 % (3348121)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.29/3.44 % (3348121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.29/3.44 % (3348121)CaDiCaL version: 2.1.3
% 22.29/3.44 % (3348121)Termination reason: Instruction limit
% 22.29/3.44 % (3348121)Termination phase: Saturation
% 22.29/3.44 % (3348121)Time elapsed: 0.285 s
% 22.29/3.44 % (3348121)Peak memory usage: 15 MB
% 22.29/3.44 % (3348121)Instructions burned: 685 (million)
% 22.29/3.44 % (3348139)fmb+10_1_sil=64000:random_seed=1647363832:i=22061:nm=2:gsp=on_2995 on theBenchmark for (2995ds/22061Mi)
% 22.29/3.44 % (3348139)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 22.29/3.44 % Exception at run slice level
% 22.29/3.44 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 22.29/3.44 % (3348141)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=570376397:i=9515:nm=5_2995 on theBenchmark for (2995ds/9515Mi)
% 22.29/3.44 % (3348126)Instruction limit reached!
% 22.29/3.44 % (3348126)------------------------------
% 22.29/3.44 % (3348126)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 57.62/8.42 % (3348126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.62/8.42 % (3348126)CaDiCaL version: 2.1.3
% 57.62/8.42 % (3348126)Termination reason: Instruction limit
% 57.62/8.42 % (3348126)Termination phase: Saturation
% 57.62/8.42 % (3348126)Time elapsed: 0.304 s
% 57.62/8.42 % (3348126)Peak memory usage: 14 MB
% 57.62/8.42 % (3348126)Instructions burned: 479 (million)
% 57.62/8.42 % (3348143)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3916400513:fmbsr=1.7:i=920_2995 on theBenchmark for (2995ds/920Mi)
% 57.62/8.42 % Exception at run slice level
% 57.62/8.42 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 57.62/8.42 % (3348145)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3068681525:i=5131_2994 on theBenchmark for (2994ds/5131Mi)
% 57.62/8.42 % (3348145)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 57.62/8.42 % Exception at run slice level
% 57.62/8.42 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 57.62/8.42 % (3348147)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3001780852:i=1472:ins=7:fdi=8:gsp=on_2994 on theBenchmark for (2994ds/1472Mi)
% 57.62/8.42 % (3348147)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 57.62/8.42 % (3348147)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 57.62/8.42 % (3348135)Instruction limit reached!
% 57.62/8.42 % (3348135)------------------------------
% 57.62/8.42 % (3348135)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 57.62/8.42 % (3348135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.62/8.42 % (3348135)CaDiCaL version: 2.1.3
% 57.62/8.42 % (3348135)Termination reason: Instruction limit
% 57.62/8.42 % (3348135)Termination phase: Saturation
% 57.62/8.42 % (3348135)Time elapsed: 0.403 s
% 57.62/8.42 % (3348135)Peak memory usage: 17 MB
% 57.62/8.42 % (3348135)Instructions burned: 692 (million)
% 57.62/8.42 % (3348149)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3714010950:i=6324_2993 on theBenchmark for (2993ds/6324Mi)
% 57.62/8.42 % Exception at run slice level
% 57.62/8.42 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 57.62/8.42 % (3348137)Instruction limit reached!
% 57.62/8.42 % (3348137)------------------------------
% 57.62/8.42 % (3348137)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 57.62/8.42 % (3348137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.62/8.42 % (3348137)CaDiCaL version: 2.1.3
% 57.62/8.42 % (3348137)Termination reason: Instruction limit
% 57.62/8.42 % (3348137)Termination phase: Saturation
% 57.62/8.42 % (3348137)Time elapsed: 0.447 s
% 57.62/8.42 % (3348137)Peak memory usage: 20 MB
% 57.62/8.42 % (3348137)Instructions burned: 880 (million)
% 57.62/8.42 % (3348154)ott-2_1_sil=16000:newcnf=on:random_seed=4097510698:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2992 on theBenchmark for (2992ds/869Mi)
% 57.62/8.42 % (3348153)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3115657797:fmbsr=2.30978:i=2174_2992 on theBenchmark for (2992ds/2174Mi)
% 57.62/8.42 % (3348154)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 57.62/8.42 % Exception at run slice level
% 57.62/8.42 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 57.62/8.42 % (3348157)ott+10_1_sil=32000:tgt=ground:random_seed=192042355:i=5114:av=off_2991 on theBenchmark for (2991ds/5114Mi)
% 57.62/8.42 % (3348131)Instruction limit reached!
% 57.62/8.42 % (3348131)------------------------------
% 57.62/8.42 % (3348131)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 57.62/8.42 % (3348131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.62/8.42 % (3348131)CaDiCaL version: 2.1.3
% 57.62/8.42 % (3348131)Termination reason: Instruction limit
% 57.62/8.42 % (3348131)Termination phase: Saturation
% 57.62/8.42 % (3348131)Time elapsed: 0.809 s
% 57.62/8.42 % (3348131)Peak memory usage: 21 MB
% 57.62/8.42 % (3348131)Instructions burned: 1179 (million)
% 57.62/8.42 % (3348159)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1156559955:i=54282_2989 on theBenchmark for (2989ds/54282Mi)
% 57.62/8.42 % Exception at run slice level
% 73.79/10.74 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 73.79/10.74 % (3348161)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2639675509:i=3512:aac=none_2988 on theBenchmark for (2988ds/3512Mi)
% 73.79/10.74 % (3348161)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 73.79/10.74 % (3348154)Instruction limit reached!
% 73.79/10.74 % (3348154)------------------------------
% 73.79/10.74 % (3348154)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 73.79/10.74 % (3348154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.79/10.74 % (3348154)CaDiCaL version: 2.1.3
% 73.79/10.74 % (3348154)Termination reason: Instruction limit
% 73.79/10.74 % (3348154)Termination phase: Saturation
% 73.79/10.74 % (3348154)Time elapsed: 0.430 s
% 73.79/10.74 % (3348154)Peak memory usage: 18 MB
% 73.79/10.74 % (3348154)Instructions burned: 871 (million)
% 73.79/10.74 % (3348163)dis+21_1_sil=32000:sas=cadical:random_seed=601040628:i=3773:amm=off_2987 on theBenchmark for (2987ds/3773Mi)
% 73.79/10.74 % (3348147)Instruction limit reached!
% 73.79/10.74 % (3348147)------------------------------
% 73.79/10.74 % (3348147)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 73.79/10.74 % (3348147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.79/10.74 % (3348147)CaDiCaL version: 2.1.3
% 73.79/10.74 % (3348147)Termination reason: Instruction limit
% 73.79/10.74 % (3348147)Termination phase: Saturation
% 73.79/10.74 % (3348147)Time elapsed: 1.056 s
% 73.79/10.74 % (3348147)Peak memory usage: 17 MB
% 73.79/10.74 % (3348147)Instructions burned: 1472 (million)
% 73.79/10.74 % (3348165)ott+11_1_sil=16000:gs=on:random_seed=2511641579:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2983 on theBenchmark for (2983ds/2251Mi)
% 73.79/10.74 % (3348165)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 73.79/10.74 % (3348165)Instruction limit reached!
% 73.79/10.74 % (3348165)------------------------------
% 73.79/10.74 % (3348165)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 73.79/10.74 % (3348165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.79/10.74 % (3348165)CaDiCaL version: 2.1.3
% 73.79/10.74 % (3348165)Termination reason: Instruction limit
% 73.79/10.74 % (3348165)Termination phase: Saturation
% 73.79/10.74 % (3348165)Time elapsed: 1.423 s
% 73.79/10.74 % (3348165)Peak memory usage: 19 MB
% 73.79/10.74 % (3348165)Instructions burned: 2253 (million)
% 73.79/10.74 % (3348163)Instruction limit reached!
% 73.79/10.74 % (3348163)------------------------------
% 73.79/10.74 % (3348163)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 73.79/10.74 % (3348163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.79/10.74 % (3348163)CaDiCaL version: 2.1.3
% 73.79/10.74 % (3348163)Termination reason: Instruction limit
% 73.79/10.74 % (3348163)Termination phase: Saturation
% 73.79/10.74 % (3348163)Time elapsed: 1.852 s
% 73.79/10.74 % (3348163)Peak memory usage: 31 MB
% 73.79/10.74 % (3348163)Instructions burned: 3774 (million)
% 73.79/10.74 % (3348174)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=3989838887:fmbsr=1.6:i=67534_2969 on theBenchmark for (2969ds/67534Mi)
% 73.79/10.74 % (3348175)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=948969983:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2968 on theBenchmark for (2968ds/4591Mi)
% 73.79/10.74 % Exception at run slice level
% 73.79/10.74 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 73.79/10.74 % (3348178)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=3171193633:i=29340_2968 on theBenchmark for (2968ds/29340Mi)
% 73.79/10.74 % (3348161)Instruction limit reached!
% 73.79/10.74 % (3348161)------------------------------
% 73.79/10.74 % (3348161)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 73.79/10.74 % (3348161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.79/10.74 % (3348161)CaDiCaL version: 2.1.3
% 73.79/10.74 % (3348161)Termination reason: Instruction limit
% 73.79/10.74 % (3348161)Termination phase: Saturation
% 73.79/10.74 % (3348161)Time elapsed: 2.042 s
% 73.79/10.74 % (3348161)Peak memory usage: 25 MB
% 73.79/10.74 % (3348161)Instructions burned: 3512 (million)
% 73.79/10.74 % (3348180)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=2261705408:i=5211_2968 on theBenchmark for (2968ds/5211Mi)
% 73.79/10.74 % (3348157)Instruction limit reached!
% 73.79/10.74 % (3348157)------------------------------
% 73.79/10.74 % (3348157)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 73.79/10.74 % (3348157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.79/10.74 % (3348157)CaDiCaL version: 2.1.3
% 73.79/10.74 % (3348157)Termination reason: Instruction limit
% 73.79/10.74 % (3348157)Termination phase: Saturation
% 73.79/10.74 % (3348157)Time elapsed: 2.755 s
% 73.79/10.74 % (3348157)Peak memory usage: 43 MB
% 73.79/10.74 % (3348157)Instructions burned: 5115 (million)
% 73.79/10.74 % (3348182)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=4202353652:i=5497:nm=2_2963 on theBenchmark for (2963ds/5497Mi)
% 73.79/10.74 % Exception at run slice level
% 73.79/10.74 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 73.79/10.74 % (3348184)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=954295473:fmbsr=2:i=46332_2963 on theBenchmark for (2963ds/46332Mi)
% 73.79/10.74 % Exception at run slice level
% 73.79/10.74 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 73.79/10.74 % (3348186)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=34121576:i=14071_2962 on theBenchmark for (2962ds/14071Mi)
% 73.79/10.74 % Exception at run slice level
% 73.79/10.74 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 73.79/10.74 % (3348188)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1407658397:i=22565:add=on:rawr=on_2962 on theBenchmark for (2962ds/22565Mi)
% 73.79/10.74 % (3348145)Instruction limit reached!
% 73.79/10.74 % (3348145)------------------------------
% 73.79/10.74 % (3348145)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 73.79/10.74 % (3348145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.79/10.74 % (3348145)CaDiCaL version: 2.1.3
% 73.79/10.74 % (3348145)Termination reason: Instruction limit
% 73.79/10.74 % (3348145)Termination phase: Saturation
% 73.79/10.74 % (3348145)Time elapsed: 3.709 s
% 73.79/10.74 % (3348145)Peak memory usage: 31 MB
% 73.79/10.74 % (3348145)Instructions burned: 5131 (million)
% 73.79/10.74 % (3348190)ott+4_1_sil=16000:sp=arity:gs=on:random_seed=4032844550:i=8173:av=off_2957 on theBenchmark for (2957ds/8173Mi)
% 73.79/10.74 % (3348175)Instruction limit reached!
% 73.79/10.74 % (3348175)------------------------------
% 73.79/10.74 % (3348175)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 73.79/10.74 % (3348175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.79/10.74 % (3348175)CaDiCaL version: 2.1.3
% 73.79/10.74 % (3348175)Termination reason: Instruction limit
% 73.79/10.74 % (3348175)Termination phase: Saturation
% 73.79/10.74 % (3348175)Time elapsed: 2.532 s
% 73.79/10.74 % (3348175)Peak memory usage: 26 MB
% 73.79/10.74 % (3348175)Instructions burned: 4592 (million)
% 73.79/10.74 % (3348192)dis+10_16:1_sil=16000:random_seed=1553490177:i=9155:fsr=off_2943 on theBenchmark for (2943ds/9155Mi)
% 73.79/10.74 % (3348180)Instruction limit reached!
% 73.79/10.74 % (3348180)------------------------------
% 73.79/10.74 % (3348180)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 73.79/10.74 % (3348180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.79/10.74 % (3348180)CaDiCaL version: 2.1.3
% 73.79/10.74 % (3348180)Termination reason: Instruction limit
% 73.79/10.74 % (3348180)Termination phase: Saturation
% 73.79/10.74 % (3348180)Time elapsed: 3.566 s
% 73.79/10.74 % (3348180)Peak memory usage: 50 MB
% 73.79/10.74 % (3348180)Instructions burned: 5211 (million)
% 73.79/10.74 % (3348194)ott-3_8_sil=64000:random_seed=2447437720:i=20139:bs=on_2932 on theBenchmark for (2932ds/20139Mi)
% 73.79/10.74 % (3348190)Instruction limit reached!
% 73.79/10.74 % (3348190)------------------------------
% 73.79/10.74 % (3348190)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 73.79/10.74 % (3348190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.79/10.74 % (3348190)CaDiCaL version: 2.1.3
% 73.79/10.74 % (3348190)Termination reason: Instruction limit
% 73.79/10.74 % (3348190)Termination phase: Saturation
% 73.79/10.74 % (3348190)Time elapsed: 3.886 s
% 73.79/10.74 % (3348190)Peak memory usage: 49 MB
% 73.79/10.74 % (3348190)Instructions burned: 8173 (million)
% 73.79/10.74 % (3348196)fmb+10_1_sil=64000:tgt=ground:sas=cadical:bce=on:fmbss=9:random_seed=96860488:fmbsr=2:i=32576_2918 on theBenchmark for (2918ds/32576Mi)
% 73.79/10.74 % Exception at run slice level
% 73.79/10.74 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 73.79/10.74 % (3348198)ott+10_8:1_sil=16000:sp=arity:gs=on:random_seed=3248052797:i=11404_2917 on theBenchmark for (2917ds/11404Mi)
% 73.79/10.74 % (3348192)Instruction limit reached!
% 73.79/10.74 % (3348192)------------------------------
% 73.79/10.74 % (3348192)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 73.79/10.74 % (3348192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.79/10.74 % (3348192)CaDiCaL version: 2.1.3
% 73.79/10.74 % (3348192)Termination reason: Instruction limit
% 73.79/10.74 % (3348192)Termination phase: Saturation
% 73.79/10.74 % (3348192)Time elapsed: 4.632 s
% 73.79/10.74 % (3348192)Peak memory usage: 57 MB
% 73.79/10.74 % (3348192)Instructions burned: 9157 (million)
% 73.79/10.74 % (3348200)ott-11_1_sil=16000:alpa=false:sac=on:random_seed=1427974665:i=14134_2896 on theBenchmark for (2896ds/14134Mi)
% 73.79/10.74 % (3348200)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 73.79/10.74 % (3348106) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3348100-3348106"...
% 73.79/10.74 % (3348106)...printing done.
% 73.79/10.74 % (3348106)Refutation found. Thanks to Tanya!
% 73.79/10.74 % SZS status Theorem for theBenchmark
% 73.79/10.74 % SZS output start Proof for theBenchmark
% 73.79/10.74 thf(type_def_5, type, type_M1610475166scheme: $tType).
% 73.79/10.74 thf(type_def_6, type, type_Mirabelle_typ: $tType).
% 73.79/10.74 thf(type_def_7, type, list: $tType > $tType).
% 73.79/10.74 thf(type_def_8, type, set: $tType > $tType).
% 73.79/10.74 thf(type_def_9, type, nat: $tType).
% 73.79/10.74 thf(type_def_10, type, sTfun: ($tType * $tType) > $tType).
% 73.79/10.74 thf(func_def_0, type, bounded_lattice: !>[X0: $tType]:($o)).
% 73.79/10.74 thf(func_def_1, type, type: !>[X0: $tType]:($o)).
% 73.79/10.74 thf(func_def_2, type, bot: !>[X0: $tType]:($o)).
% 73.79/10.74 thf(func_def_3, type, ord: !>[X0: $tType]:($o)).
% 73.79/10.74 thf(func_def_4, type, order: !>[X0: $tType]:($o)).
% 73.79/10.74 thf(func_def_5, type, no_bot: !>[X0: $tType]:($o)).
% 73.79/10.74 thf(func_def_6, type, no_top: !>[X0: $tType]:($o)).
% 73.79/10.74 thf(func_def_7, type, linorder: !>[X0: $tType]:($o)).
% 73.79/10.74 thf(func_def_8, type, preorder: !>[X0: $tType]:($o)).
% 73.79/10.74 thf(func_def_9, type, order_bot: !>[X0: $tType]:($o)).
% 73.79/10.74 thf(func_def_10, type, wellorder: !>[X0: $tType]:($o)).
% 73.79/10.74 thf(func_def_11, type, dense_order: !>[X0: $tType]:($o)).
% 73.79/10.74 thf(func_def_12, type, semilattice_sup: !>[X0: $tType]:($o)).
% 73.79/10.74 thf(func_def_13, type, type_M201404320of_nat: !>[X0: $tType]:($o)).
% 73.79/10.74 thf(func_def_14, type, type_M1535146424typ_of: !>[X0: $tType]:($o)).
% 73.79/10.74 thf(func_def_15, type, bounde1808546759up_bot: !>[X0: $tType]:($o)).
% 73.79/10.74 thf(func_def_16, type, type_M1470978233struct: !>[X0: $tType]:($o)).
% 73.79/10.74 thf(func_def_17, type, the: !>[X0: $tType]:(((X0 > $o) > X0))).
% 73.79/10.74 thf(func_def_18, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 73.79/10.74 thf(func_def_19, type, semilattice_neutr: !>[X0: $tType]:(((X0 > X0 > X0) > X0 > $o))).
% 73.79/10.74 thf(func_def_20, type, sup_sup: !>[X0: $tType]:((X0 > X0 > X0))).
% 73.79/10.74 thf(func_def_21, type, insert: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 73.79/10.74 thf(func_def_22, type, cons: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 73.79/10.74 thf(func_def_23, type, nil: !>[X0: $tType]:(list @ X0)).
% 73.79/10.74 thf(func_def_24, type, ord_lexordp_eq: !>[X0: $tType]:((list @ X0 > list @ X0 > $o))).
% 73.79/10.74 thf(func_def_25, type, bot_bot: !>[X0: $tType]:(X0)).
% 73.79/10.74 thf(func_def_26, type, ord_less: !>[X0: $tType]:((X0 > X0 > $o))).
% 73.79/10.74 thf(func_def_27, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 73.79/10.74 thf(func_def_28, type, insert2: !>[X0: $tType]:((X0 > set @ X0 > set @ X0))).
% 73.79/10.74 thf(func_def_29, type, is_empty: !>[X0: $tType]:((set @ X0 > $o))).
% 73.79/10.74 thf(func_def_30, type, is_singleton: !>[X0: $tType]:((set @ X0 > $o))).
% 73.79/10.74 thf(func_def_31, type, the_elem: !>[X0: $tType]:((set @ X0 > X0))).
% 73.79/10.74 thf(func_def_32, type, type_Mirabelle_cod: ((nat > type_Mirabelle_typ) > set @ nat)).
% 73.79/10.74 thf(func_def_33, type, type_Mirabelle_dom: ((nat > type_Mirabelle_typ) > set @ nat)).
% 73.79/10.74 thf(func_def_34, type, type_M17369686_subst: (nat > type_Mirabelle_typ)).
% 73.79/10.74 thf(func_def_35, type, type_M540877363scheme: (type_Mirabelle_typ > type_M1610475166scheme)).
% 73.79/10.74 thf(func_def_36, type, type_M1046766514new_tv: !>[X0: $tType]:((nat > X0 > $o))).
% 73.79/10.74 thf(func_def_37, type, type_M167561660of_nat: !>[X0: $tType]:((nat > X0))).
% 73.79/10.74 thf(func_def_38, type, type_Mirabelle_Fun: (type_Mirabelle_typ > type_Mirabelle_typ > type_Mirabelle_typ)).
% 73.79/10.74 thf(func_def_39, type, type_Mirabelle_TVar: (nat > type_Mirabelle_typ)).
% 73.79/10.74 thf(func_def_40, type, type_M1695911984se_typ: !>[X0: $tType]:(((nat > X0) > (type_Mirabelle_typ > type_Mirabelle_typ > X0) > type_Mirabelle_typ > X0))).
% 73.79/10.74 thf(func_def_41, type, type_M604437996typ_of: !>[X0: $tType]:((X0 > type_Mirabelle_typ))).
% 73.79/10.74 thf(func_def_42, type, type_M1264524676e_BVar: (nat > type_M1610475166scheme)).
% 73.79/10.74 thf(func_def_43, type, type_M91906176e_FVar: (nat > type_M1610475166scheme)).
% 73.79/10.74 thf(func_def_44, type, type_M1518733067e_SFun: (type_M1610475166scheme > type_M1610475166scheme > type_M1610475166scheme)).
% 73.79/10.74 thf(func_def_45, type, type_M697345518scheme: !>[X0: $tType]:(((nat > X0) > (nat > X0) > (type_M1610475166scheme > type_M1610475166scheme > X0) > type_M1610475166scheme > X0))).
% 73.79/10.74 thf(func_def_46, type, type_M1705333808scheme: !>[X0: $tType]:(((nat > X0) > (nat > X0) > (type_M1610475166scheme > type_M1610475166scheme > X0 > X0 > X0) > type_M1610475166scheme > X0))).
% 73.79/10.74 thf(func_def_47, type, type_M353778473_subst: !>[X0: $tType]:(((nat > type_Mirabelle_typ) > X0 > X0))).
% 73.79/10.74 thf(func_def_48, type, type_M779184887und_tv: !>[X0: $tType]:((X0 > set @ nat))).
% 73.79/10.74 thf(func_def_49, type, type_M950795831ree_tv: !>[X0: $tType]:((X0 > set @ nat))).
% 73.79/10.74 thf(func_def_50, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 73.79/10.74 thf(func_def_51, type, s1: (nat > type_Mirabelle_typ)).
% 73.79/10.74 thf(func_def_52, type, s2: (nat > type_Mirabelle_typ)).
% 73.79/10.74 thf(func_def_53, type, n: nat).
% 73.79/10.74 thf(func_def_54, type, x: nat).
% 73.79/10.74 thf(func_def_56, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 73.79/10.74 thf(func_def_59, type, db0: !>[X0: $tType]:(X0)).
% 73.79/10.74 thf(func_def_60, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 73.79/10.74 thf(func_def_61, type, db1: !>[X0: $tType]:(X0)).
% 73.79/10.74 thf(func_def_62, type, vAND: ($o > $o > $o)).
% 73.79/10.74 thf(func_def_63, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 73.79/10.74 thf(func_def_64, type, vIMP: ($o > $o > $o)).
% 73.79/10.74 thf(func_def_65, type, db2: !>[X0: $tType]:(X0)).
% 73.79/10.74 thf(func_def_66, type, vOR: ($o > $o > $o)).
% 73.79/10.74 thf(func_def_67, type, vNOT: ($o > $o)).
% 73.79/10.74 thf(func_def_68, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 73.79/10.74 thf(func_def_69, type, db3: !>[X0: $tType]:(X0)).
% 73.79/10.74 thf(func_def_70, type, db5: !>[X0: $tType]:(X0)).
% 73.79/10.74 thf(func_def_71, type, db4: !>[X0: $tType]:(X0)).
% 73.79/10.74 thf(func_def_72, type, sP0: !>[X0: $tType]:((list @ X0 > list @ X0 > $o))).
% 73.79/10.74 thf(func_def_73, type, sP1: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > $o))).
% 73.79/10.74 thf(func_def_74, type, sK2: ((nat > type_Mirabelle_typ) > (nat > type_Mirabelle_typ) > type_M1610475166scheme > nat)).
% 73.79/10.74 thf(func_def_75, type, sK3: ((nat > type_Mirabelle_typ) > (nat > type_Mirabelle_typ) > type_M1610475166scheme > nat)).
% 73.79/10.74 thf(func_def_76, type, sK4: (type_M1610475166scheme > type_M1610475166scheme > type_Mirabelle_typ)).
% 73.79/10.74 thf(func_def_77, type, sK5: (type_M1610475166scheme > type_M1610475166scheme > type_Mirabelle_typ)).
% 73.79/10.74 thf(func_def_78, type, sK6: ((nat > type_Mirabelle_typ) > (nat > type_Mirabelle_typ) > type_Mirabelle_typ > nat)).
% 73.79/10.74 thf(func_def_79, type, sK7: ((nat > type_Mirabelle_typ) > (nat > type_Mirabelle_typ) > type_Mirabelle_typ > nat)).
% 73.79/10.74 thf(func_def_80, type, sK8: (type_M1610475166scheme > type_M1610475166scheme)).
% 73.79/10.74 thf(func_def_81, type, sK9: (type_M1610475166scheme > type_M1610475166scheme)).
% 73.79/10.74 thf(func_def_82, type, sK10: (type_M1610475166scheme > nat)).
% 73.79/10.74 thf(func_def_83, type, sK11: (type_M1610475166scheme > nat)).
% 73.79/10.74 thf(func_def_84, type, sK12: ((type_M1610475166scheme > $o) > type_M1610475166scheme)).
% 73.79/10.74 thf(func_def_85, type, sK13: ((type_M1610475166scheme > $o) > type_M1610475166scheme)).
% 73.79/10.74 thf(func_def_86, type, sK14: ((type_M1610475166scheme > $o) > nat)).
% 73.79/10.74 thf(func_def_87, type, sK15: ((type_M1610475166scheme > $o) > nat)).
% 73.79/10.74 thf(func_def_88, type, sK16: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 73.79/10.74 thf(func_def_89, type, sK17: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 73.79/10.74 thf(func_def_90, type, sK18: !>[X0: $tType]:((set @ X0 > X0))).
% 73.79/10.74 thf(func_def_91, type, sK19: !>[X0: $tType]:((set @ X0 > X0 > set @ X0))).
% 73.79/10.74 thf(func_def_92, type, sK20: !>[X0: $tType]:((set @ X0 > X0 > set @ X0))).
% 73.79/10.74 thf(func_def_93, type, sK21: ((nat > type_Mirabelle_typ) > (nat > type_Mirabelle_typ) > list @ type_M1610475166scheme > nat)).
% 73.79/10.74 thf(func_def_94, type, sK22: ((nat > type_Mirabelle_typ) > (nat > type_Mirabelle_typ) > list @ type_M1610475166scheme > nat)).
% 73.79/10.74 thf(func_def_95, type, sK23: !>[X0: $tType]:((set @ X0 > X0))).
% 73.79/10.74 thf(func_def_96, type, sK24: !>[X0: $tType]:((set @ X0 > X0))).
% 73.79/10.74 thf(func_def_97, type, sK25: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 73.79/10.74 thf(func_def_98, type, sK26: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 73.79/10.74 thf(func_def_99, type, sK27: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 73.79/10.74 thf(func_def_100, type, sK28: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 73.79/10.74 thf(func_def_101, type, sK29: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 73.79/10.74 thf(func_def_102, type, sK30: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 73.79/10.74 thf(func_def_103, type, sK31: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 73.79/10.74 thf(func_def_104, type, sK32: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 73.79/10.74 thf(func_def_105, type, sK33: !>[X0: $tType]:((X0 > X0))).
% 73.79/10.74 thf(func_def_106, type, sK34: !>[X0: $tType]:((X0 > X0))).
% 73.79/10.74 thf(func_def_107, type, sK35: !>[X0: $tType]:((X0 > X0 > X0))).
% 73.79/10.74 thf(func_def_108, type, sK36: !>[X0: $tType]:(((X0 > $o) > X0))).
% 73.79/10.74 thf(func_def_109, type, sK37: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 73.79/10.74 thf(func_def_110, type, sK38: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 73.79/10.74 thf(func_def_111, type, sK39: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 73.79/10.74 thf(func_def_112, type, sK40: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 73.79/10.74 thf(func_def_113, type, sK41: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 73.79/10.74 thf(func_def_114, type, sK42: !>[X0: $tType]:((set @ X0 > X0))).
% 73.79/10.74 thf(func_def_115, type, sK43: (type_Mirabelle_typ > type_Mirabelle_typ)).
% 73.79/10.74 thf(func_def_116, type, sK44: (type_Mirabelle_typ > type_Mirabelle_typ)).
% 73.79/10.74 thf(func_def_117, type, sK45: (type_Mirabelle_typ > nat)).
% 73.79/10.74 thf(func_def_118, type, sK46: ((type_Mirabelle_typ > $o) > type_Mirabelle_typ)).
% 73.79/10.74 thf(func_def_119, type, sK47: ((type_Mirabelle_typ > $o) > type_Mirabelle_typ)).
% 73.79/10.74 thf(func_def_120, type, sK48: ((type_Mirabelle_typ > $o) > nat)).
% 73.79/10.74 thf(func_def_121, type, sK49: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 73.79/10.74 thf(func_def_122, type, sK50: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 73.79/10.74 thf(func_def_123, type, sK51: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 73.79/10.74 thf(func_def_124, type, sK52: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 73.79/10.74 thf(func_def_125, type, sK53: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 73.79/10.74 thf(func_def_126, type, sK54: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 73.79/10.74 thf(func_def_127, type, sK55: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 73.79/10.74 thf(func_def_128, type, sK56: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 73.79/10.74 thf(func_def_129, type, sK57: !>[X0: $tType]:((set @ X0 > (X0 > $o) > set @ X0 > X0))).
% 73.79/10.74 thf(func_def_130, type, sK58: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 73.79/10.74 thf(func_def_131, type, sK59: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 73.79/10.74 thf(func_def_132, type, sK60: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 73.79/10.74 thf(func_def_133, type, sK61: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 73.79/10.74 thf(func_def_134, type, sK62: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 73.79/10.74 thf(func_def_135, type, sK63: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 73.79/10.74 thf(func_def_136, type, sK64: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 73.79/10.74 thf(func_def_137, type, sK65: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 73.79/10.74 thf(func_def_138, type, sK66: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 73.79/10.74 thf(func_def_139, type, sK67: !>[X0: $tType]:((list @ list @ X0 > X0))).
% 73.79/10.74 thf(func_def_140, type, sK68: !>[X0: $tType]:((list @ list @ X0 > list @ X0))).
% 73.79/10.74 thf(func_def_141, type, sK69: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 73.79/10.74 thf(func_def_142, type, sK70: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 73.79/10.74 thf(func_def_143, type, sK71: !>[X0: $tType]:((list @ X0 > X0))).
% 73.79/10.74 thf(func_def_144, type, sK72: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 73.79/10.74 thf(func_def_145, type, sK73: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 73.79/10.74 thf(func_def_146, type, sK74: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 73.79/10.74 thf(func_def_147, type, sK75: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X0))).
% 73.79/10.74 thf(func_def_148, type, sK76: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X0))).
% 73.79/10.74 thf(func_def_149, type, sK77: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X1))).
% 73.79/10.74 thf(func_def_150, type, sK78: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X1))).
% 73.79/10.74 thf(func_def_151, type, sK79: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X1))).
% 73.79/10.74 thf(func_def_152, type, sK80: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X1))).
% 73.79/10.74 thf(func_def_153, type, sK81: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X0))).
% 73.79/10.74 thf(func_def_154, type, sK82: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X0))).
% 73.79/10.74 thf(func_def_155, type, sK83: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 73.79/10.74 thf(func_def_156, type, sK84: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 73.79/10.74 thf(func_def_157, type, sK85: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 73.79/10.74 thf(func_def_158, type, sK86: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 73.79/10.74 thf(func_def_159, type, sK87: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 73.79/10.74 thf(func_def_160, type, sK88: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 73.79/10.74 thf(func_def_161, type, sK89: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 73.79/10.74 thf(func_def_162, type, sK90: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 73.79/10.74 thf(func_def_163, type, sK91: !>[X0: $tType]:((list @ X0 > X0))).
% 73.79/10.74 thf(func_def_164, type, sK92: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 73.79/10.74 thf(func_def_165, type, sK93: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 73.79/10.74 thf(func_def_166, type, sK94: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 73.79/10.74 thf(func_def_167, type, sK95: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 73.79/10.74 thf(func_def_168, type, sK96: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 73.79/10.74 thf(func_def_169, type, sK97: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 73.79/10.74 thf(func_def_170, type, sK98: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 73.79/10.74 thf(func_def_171, type, sK99: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 73.79/10.74 thf(func_def_172, type, sK100: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 73.79/10.74 thf(func_def_173, type, sK101: !>[X0: $tType]:((list @ X0 > X0))).
% 73.79/10.74 thf(func_def_174, type, sK102: !>[X0: $tType]:((list @ X0 > X0))).
% 73.79/10.74 thf(func_def_175, type, sK103: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 73.79/10.74 thf(func_def_176, type, sK104: !>[X0: $tType]:((list @ X0 > X0))).
% 73.79/10.74 thf(func_def_177, type, sK105: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 73.79/10.74 thf(func_def_178, type, sK106: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 73.79/10.74 thf(func_def_179, type, sK107: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > list @ X0))).
% 73.79/10.74 thf(func_def_180, type, sK108: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 73.79/10.74 thf(func_def_181, type, sK109: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 73.79/10.74 thf(func_def_182, type, sK110: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 73.79/10.74 thf(func_def_183, type, sK111: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 73.79/10.74 thf(func_def_184, type, sK112: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 73.79/10.74 thf(func_def_185, type, sK113: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1 > X0))).
% 73.79/10.74 thf(func_def_186, type, sK114: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1 > X0))).
% 73.79/10.74 thf(func_def_187, type, sK115: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1))).
% 73.79/10.74 thf(func_def_188, type, sK116: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1))).
% 73.79/10.74 thf(func_def_189, type, sK117: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > list @ X1))).
% 73.79/10.74 thf(func_def_190, type, sK118: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1 > X0))).
% 73.79/10.74 thf(func_def_191, type, sK119: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1))).
% 73.79/10.74 thf(func_def_192, type, sK120: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 73.79/10.74 thf(func_def_193, type, sK121: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 73.79/10.74 thf(func_def_194, type, sK122: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 73.79/10.74 thf(func_def_195, type, sK123: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > list @ X0))).
% 73.79/10.74 thf(func_def_196, type, sK124: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 73.79/10.74 thf(func_def_197, type, sK125: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 73.79/10.74 thf(func_def_198, type, sK126: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 73.79/10.74 thf(func_def_199, type, sK127: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 73.79/10.74 thf(func_def_200, type, sK128: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 73.79/10.74 thf(func_def_201, type, sK129: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 73.79/10.74 thf(func_def_202, type, sK130: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > X0 > X1))).
% 73.79/10.74 thf(func_def_203, type, sK131: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > X0))).
% 73.79/10.74 thf(func_def_204, type, sK132: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > list @ X0))).
% 73.79/10.74 thf(func_def_205, type, sK133: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > list @ X1))).
% 73.79/10.74 thf(func_def_206, type, sK134: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > X0 > X1))).
% 73.79/10.74 thf(func_def_207, type, sK135: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > list @ X1))).
% 73.79/10.74 thf(func_def_208, type, sK136: !>[X0: $tType]:((list @ X0 > X0))).
% 73.79/10.74 thf(func_def_209, type, sK137: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 73.79/10.74 thf(func_def_210, type, sK138: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 73.79/10.74 thf(func_def_211, type, sK139: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 73.79/10.74 thf(func_def_212, type, sK140: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 73.79/10.74 thf(func_def_213, type, sK141: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 73.79/10.74 thf(func_def_214, type, sK142: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 73.79/10.74 thf(func_def_215, type, sK143: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 73.79/10.74 thf(func_def_216, type, sK144: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 73.79/10.74 thf(func_def_217, type, sK145: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 73.79/10.74 thf(func_def_218, type, sK146: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 73.79/10.74 thf(func_def_219, type, sK147: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 73.79/10.74 thf(func_def_220, type, sK148: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 73.79/10.74 thf(func_def_221, type, sK149: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 73.79/10.74 thf(func_def_222, type, sK150: !>[X0: $tType]:((list @ X0 > X0))).
% 73.79/10.74 thf(func_def_223, type, sK151: !>[X0: $tType]:((set @ X0 > set @ X0 > (X0 > $o) > X0))).
% 73.79/10.74 thf(func_def_224, type, sK152: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 73.79/10.74 thf(func_def_225, type, sK153: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 73.79/10.74 thf(func_def_226, type, sK154: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 73.79/10.74 thf(func_def_227, type, sK155: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 73.79/10.74 thf(func_def_228, type, sK156: !>[X0: $tType]:((set @ X0 > (X0 > $o) > set @ X0 > X0))).
% 73.79/10.74 thf(func_def_229, type, sK157: !>[X0: $tType]:((X0 > set @ X0 > X0 > set @ X0 > set @ X0))).
% 73.79/10.74 thf(func_def_230, type, sK158: !>[X0: $tType]:((set @ X0 > X0))).
% 73.79/10.74 thf(func_def_231, type, sK159: !>[X0: $tType]:(((X0 > $o) > X0))).
% 73.79/10.74 thf(func_def_232, type, sK160: !>[X0: $tType]:(((X0 > $o) > X0))).
% 73.79/10.74 thf(func_def_233, type, sK161: !>[X0: $tType]:((set @ X0 > X0))).
% 73.79/10.74 thf(func_def_235, type, sK163: ((nat > nat > type_Mirabelle_typ) > nat > nat)).
% 73.79/10.74 thf(func_def_236, type, db7: !>[X0: $tType]:(X0)).
% 73.79/10.74 thf(func_def_237, type, db6: !>[X0: $tType]:(X0)).
% 73.79/10.74 thf(func_def_238, type, db11: !>[X0: $tType]:(X0)).
% 73.79/10.74 thf(func_def_239, type, db10: !>[X0: $tType]:(X0)).
% 73.79/10.74 thf(func_def_240, type, db9: !>[X0: $tType]:(X0)).
% 73.79/10.74 thf(func_def_241, type, db8: !>[X0: $tType]:(X0)).
% 73.79/10.74 thf(func_def_242, type, sK164: !>[X0: $tType]:((set @ X0 > X0))).
% 73.79/10.74 thf(func_def_243, type, sK165: (nat > nat)).
% 73.79/10.74 thf(func_def_244, type, sK166: nat).
% 73.79/10.74 thf(func_def_245, type, sK167: nat).
% 73.79/10.74 thf(func_def_246, type, sK168: !>[X0: $tType]:(((X0 > $o) > X0))).
% 73.79/10.74 thf(func_def_247, type, sK169: (nat > nat)).
% 73.79/10.74 thf(f4,axiom,(
% 73.79/10.74 ! [X0 : (nat > type_Mirabelle_typ),X1 : nat] : (((type_M353778473_subst @ type_M1610475166scheme @ X0 @ (type_M91906176e_FVar @ X1))) = ((type_M540877363scheme @ (X0 @ X1))))),
% 73.79/10.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_app__subst__type__scheme_Osimps_I1_J)).
% 73.79/10.74 thf(f13,axiom,(
% 73.79/10.74 ! [X0 : nat] : (((type_M950795831ree_tv @ type_M1610475166scheme @ (type_M91906176e_FVar @ X0))) = ((insert2 @ nat @ X0 @ bot_bot @ set @ nat)))),
% 73.79/10.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_12_free__tv__type__scheme_Osimps_I1_J)).
% 73.79/10.74 thf(f32,axiom,(
% 73.79/10.74 ! [X0 : type_Mirabelle_typ,X1 : type_Mirabelle_typ] : ((((type_M540877363scheme @ X0)) = ((type_M540877363scheme @ X1))) => (X0 = X1))),
% 73.79/10.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_31_mk__scheme__injective)).
% 73.79/10.74 thf(f70,axiom,(
% 73.79/10.74 ! [X0 : $tType] : (insert2 @ X0 = (^[X1 : X0, X2 : set @ X0] : ((collect @ X0 @ (^[X3 : X0] : ((member @ X0 @ X3 @ X2) | (X3 = X1)))))))),
% 73.79/10.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_69_insert__compr)).
% 73.79/10.74 thf(f75,axiom,(
% 73.79/10.74 ! [X0 : $tType,X1 : X0,X2 : X0] : ((member @ X0 @ X1 @ (insert2 @ X0 @ X2 @ bot_bot @ set @ X0)) => (X1 = X2))),
% 73.79/10.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_74_singletonD)).
% 73.79/10.74 thf(f299,conjecture,(
% 73.79/10.74 (((s1 @ n)) = ((s2 @ n))) | ~(member @ nat @ n @ (type_M950795831ree_tv @ type_M1610475166scheme @ (type_M91906176e_FVar @ x))) | (((type_M353778473_subst @ type_M1610475166scheme @ s1 @ (type_M91906176e_FVar @ x))) != ((type_M353778473_subst @ type_M1610475166scheme @ s2 @ (type_M91906176e_FVar @ x))))),
% 73.79/10.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 73.79/10.74 thf(f300,negated_conjecture,(
% 73.79/10.74 ~((((s1 @ n)) = ((s2 @ n))) | ~(member @ nat @ n @ (type_M950795831ree_tv @ type_M1610475166scheme @ (type_M91906176e_FVar @ x))) | (((type_M353778473_subst @ type_M1610475166scheme @ s1 @ (type_M91906176e_FVar @ x))) != ((type_M353778473_subst @ type_M1610475166scheme @ s2 @ (type_M91906176e_FVar @ x)))))),
% 73.79/10.74 inference(negated_conjecture,[status(cth)],[f299])).
% 73.79/10.74 thf(f384,plain,(
% 73.79/10.74 ! [X0 : $tType] : (insert2 @ X0 = (^[X1 : X0, X2 : set @ X0] : ((collect @ X0 @ (^[X3 : X0] : ((member @ X0 @ X3 @ X2) | (X3 = X1)))))))),
% 73.79/10.74 inference(rectify,[],[f70])).
% 73.79/10.74 thf(f385,plain,(
% 73.79/10.74 ! [X0 : $tType] : (insert2 @ X0 = (^[Y0 : X0]: ((^[Y1 : set @ X0]: (collect @ X0 @ (^[Y2 : X0]: ((Y0 = Y2) | (member @ X0 @ Y2 @ Y1))))))))),
% 73.79/10.74 inference(fool_elimination,[],[f384])).
% 73.79/10.74 thf(f388,plain,(
% 73.79/10.74 ! [X0 : $tType,X1 : X0,X2 : X0] : ((member @ X0 @ X1 @ (insert2 @ X0 @ X2 @ bot_bot @ set @ X0)) => (X1 = X2))),
% 73.79/10.74 inference(rectify,[],[f75])).
% 73.79/10.74 thf(f389,plain,(
% 73.79/10.74 ! [X0 : $tType,X1 : X0,X2 : X0] : ((((member @ X0 @ X1 @ (insert2 @ X0 @ X2 @ bot_bot @ set @ X0))) = $true) => (X1 = X2))),
% 73.79/10.74 inference(fool_elimination,[],[f388])).
% 73.79/10.74 thf(f751,plain,(
% 73.79/10.74 ~((((s1 @ n)) = ((s2 @ n))) | ~(member @ nat @ n @ (type_M950795831ree_tv @ type_M1610475166scheme @ (type_M91906176e_FVar @ x))) | (((type_M353778473_subst @ type_M1610475166scheme @ s1 @ (type_M91906176e_FVar @ x))) != ((type_M353778473_subst @ type_M1610475166scheme @ s2 @ (type_M91906176e_FVar @ x)))))),
% 73.79/10.74 inference(rectify,[],[f300])).
% 73.79/10.74 thf(f752,plain,(
% 73.79/10.74 ~((((s1 @ n)) = ((s2 @ n))) | ~ (((member @ nat @ n @ (type_M950795831ree_tv @ type_M1610475166scheme @ (type_M91906176e_FVar @ x)))) = $true) | (((type_M353778473_subst @ type_M1610475166scheme @ s1 @ (type_M91906176e_FVar @ x))) != ((type_M353778473_subst @ type_M1610475166scheme @ s2 @ (type_M91906176e_FVar @ x)))))),
% 73.79/10.74 inference(fool_elimination,[],[f751])).
% 73.79/10.74 thf(f785,plain,(
% 73.79/10.74 ~((((s1 @ n)) = ((s2 @ n))) | (((member @ nat @ n @ (type_M950795831ree_tv @ type_M1610475166scheme @ (type_M91906176e_FVar @ x)))) != $true) | (((type_M353778473_subst @ type_M1610475166scheme @ s1 @ (type_M91906176e_FVar @ x))) != ((type_M353778473_subst @ type_M1610475166scheme @ s2 @ (type_M91906176e_FVar @ x)))))),
% 73.79/10.74 inference(flattening,[],[f752])).
% 73.79/10.74 thf(f796,plain,(
% 73.79/10.74 ! [X0 : type_Mirabelle_typ,X1 : type_Mirabelle_typ] : ((X0 = X1) | (((type_M540877363scheme @ X0)) != ((type_M540877363scheme @ X1))))),
% 73.79/10.74 inference(ennf_transformation,[],[f32])).
% 73.79/10.74 thf(f819,plain,(
% 73.79/10.74 ! [X0 : $tType,X1 : X0,X2 : X0] : ((X1 = X2) | (((member @ X0 @ X1 @ (insert2 @ X0 @ X2 @ bot_bot @ set @ X0))) != $true))),
% 73.79/10.74 inference(ennf_transformation,[],[f389])).
% 73.79/10.74 thf(f993,plain,(
% 73.79/10.74 (((s1 @ n)) != ((s2 @ n))) & (((member @ nat @ n @ (type_M950795831ree_tv @ type_M1610475166scheme @ (type_M91906176e_FVar @ x)))) = $true) & (((type_M353778473_subst @ type_M1610475166scheme @ s1 @ (type_M91906176e_FVar @ x))) = ((type_M353778473_subst @ type_M1610475166scheme @ s2 @ (type_M91906176e_FVar @ x))))),
% 73.79/10.74 inference(ennf_transformation,[],[f785])).
% 73.79/10.74 thf(f1086,plain,(
% 73.79/10.74 ( ! [X0 : (nat > type_Mirabelle_typ),X1 : nat] : ((((type_M353778473_subst @ type_M1610475166scheme @ X0 @ (type_M91906176e_FVar @ X1))) = ((type_M540877363scheme @ (X0 @ X1))))) )),
% 73.79/10.74 inference(cnf_transformation,[],[f4])).
% 73.79/10.74 thf(f1095,plain,(
% 73.79/10.74 ( ! [X0 : nat] : ((((type_M950795831ree_tv @ type_M1610475166scheme @ (type_M91906176e_FVar @ X0))) = ((insert2 @ nat @ X0 @ bot_bot @ set @ nat)))) )),
% 73.79/10.74 inference(cnf_transformation,[],[f13])).
% 73.79/10.74 thf(f1117,plain,(
% 73.79/10.74 ( ! [X0 : type_Mirabelle_typ,X1 : type_Mirabelle_typ] : ((((type_M540877363scheme @ X0)) != ((type_M540877363scheme @ X1))) | (X0 = X1)) )),
% 73.79/10.74 inference(cnf_transformation,[],[f796])).
% 73.79/10.74 thf(f1160,plain,(
% 73.79/10.74 ( ! [X0 : $tType] : ((insert2 @ X0 = (^[Y0 : X0]: ((^[Y1 : set @ X0]: (collect @ X0 @ (^[Y2 : X0]: ((Y0 = Y2) | (member @ X0 @ Y2 @ Y1))))))))) )),
% 73.79/10.74 inference(cnf_transformation,[],[f385])).
% 73.79/10.74 thf(f1165,plain,(
% 73.79/10.74 ( ! [X0 : $tType,X2 : X0,X1 : X0] : ((X1 = X2) | (((member @ X0 @ X1 @ (insert2 @ X0 @ X2 @ bot_bot @ set @ X0))) != $true)) )),
% 73.79/10.74 inference(cnf_transformation,[],[f819])).
% 73.79/10.74 thf(f1452,plain,(
% 73.79/10.74 (((type_M353778473_subst @ type_M1610475166scheme @ s1 @ (type_M91906176e_FVar @ x))) = ((type_M353778473_subst @ type_M1610475166scheme @ s2 @ (type_M91906176e_FVar @ x))))),
% 73.79/10.74 inference(cnf_transformation,[],[f993])).
% 73.79/10.74 thf(f1453,plain,(
% 73.79/10.74 (((member @ nat @ n @ (type_M950795831ree_tv @ type_M1610475166scheme @ (type_M91906176e_FVar @ x)))) = $true)),
% 73.79/10.74 inference(cnf_transformation,[],[f993])).
% 73.79/10.74 thf(f1454,plain,(
% 73.79/10.74 (((s1 @ n)) != ((s2 @ n)))),
% 73.79/10.74 inference(cnf_transformation,[],[f993])).
% 73.79/10.74 thf(f1460,plain,(
% 73.79/10.74 ( ! [X0 : nat] : ((((type_M950795831ree_tv @ type_M1610475166scheme @ (type_M91906176e_FVar @ X0))) = (((^[Y0 : nat]: ((^[Y1 : set @ nat]: (collect @ nat @ (^[Y2 : nat]: ((Y0 = Y2) | (member @ nat @ Y2 @ Y1))))))) @ X0 @ bot_bot @ set @ nat)))) )),
% 73.79/10.74 inference(definition_unfolding,[],[f1095,f1160])).
% 73.79/10.74 thf(f1484,plain,(
% 73.79/10.74 ( ! [X0 : $tType,X2 : X0,X1 : X0] : ((X1 = X2) | ($true != ((member @ X0 @ X1 @ ((^[Y0 : X0]: ((^[Y1 : set @ X0]: (collect @ X0 @ (^[Y2 : X0]: ((Y0 = Y2) | (member @ X0 @ Y2 @ Y1))))))) @ X2 @ bot_bot @ set @ X0))))) )),
% 73.79/10.74 inference(definition_unfolding,[],[f1165,f1160])).
% 73.79/10.74 thf(f1918,plain,(
% 73.79/10.74 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (($true != ((member @ X0 @ X1 @ (collect @ X0 @ (^[Y0 : X0]: ((X2 = Y0) | (member @ X0 @ Y0 @ bot_bot @ set @ X0))))))) | (X1 = X2)) )),
% 73.79/10.74 inference(beta-eta_normalization,[],[f1484])).
% 73.79/10.74 thf(f2134,plain,(
% 73.79/10.74 ( ! [X0 : nat] : ((((type_M950795831ree_tv @ type_M1610475166scheme @ (type_M91906176e_FVar @ X0))) = ((collect @ nat @ (^[Y0 : nat]: ((X0 = Y0) | (member @ nat @ Y0 @ bot_bot @ set @ nat))))))) )),
% 73.79/10.74 inference(beta-eta_normalization,[],[f1460])).
% 73.79/10.74 thf(f2677,plain,(
% 73.79/10.74 (((type_M353778473_subst @ type_M1610475166scheme @ s1 @ (type_M91906176e_FVar @ x))) = ((type_M540877363scheme @ (s2 @ x))))),
% 73.79/10.74 inference(constrained_superposition,[],[f1452,f1086])).
% 73.79/10.74 thf(f2678,plain,(
% 73.79/10.74 (((type_M540877363scheme @ (s2 @ x))) = ((type_M540877363scheme @ (s1 @ x))))),
% 73.79/10.74 inference(forward_demodulation,[],[f2677,f1086])).
% 73.79/10.74 thf(f2681,plain,(
% 73.79/10.74 ( ! [X0 : type_Mirabelle_typ] : ((((type_M540877363scheme @ X0)) != ((type_M540877363scheme @ (s1 @ x)))) | (((s2 @ x)) = X0)) )),
% 73.79/10.74 inference(constrained_superposition,[],[f1117,f2678])).
% 73.79/10.74 thf(f2707,plain,(
% 73.79/10.74 (((s2 @ x)) = ((s1 @ x)))),
% 73.79/10.74 inference(equality_resolution,[],[f2681])).
% 73.79/10.74 thf(f11156,plain,(
% 73.79/10.74 ( ! [X2 : nat,X0 : nat,X1 : nat] : (($true != ((member @ nat @ X1 @ (type_M950795831ree_tv @ type_M1610475166scheme @ (type_M91906176e_FVar @ X0))))) | (X1 = X2) | ((^[Y0 : nat]: (X2)) != (^[Y0 : nat]: (X0)))) )),
% 73.79/10.74 inference(constrained_superposition,[],[f1918,f2134])).
% 73.79/10.74 thf(f84903,plain,(
% 73.79/10.74 ( ! [X0 : nat] : (($true != $true) | (n = X0) | ((^[Y0 : nat]: (x)) != (^[Y0 : nat]: (X0)))) )),
% 73.79/10.74 inference(constrained_superposition,[],[f11156,f1453])).
% 73.79/10.74 thf(f84912,plain,(
% 73.79/10.74 ( ! [X0 : nat] : (((^[Y0 : nat]: (x)) != (^[Y0 : nat]: (X0))) | (n = X0)) )),
% 73.79/10.74 inference(trivial_inequality_removal,[],[f84903])).
% 73.79/10.74 thf(f85003,plain,(
% 73.79/10.74 (x = n)),
% 73.79/10.74 inference(equality_resolution,[],[f84912])).
% 73.79/10.74 thf(f85467,plain,(
% 73.79/10.74 (((s1 @ n)) = ((s2 @ n)))),
% 73.79/10.74 inference(constrained_superposition,[],[f2707,f85003])).
% 73.79/10.74 thf(f85654,plain,(
% 73.79/10.74 $false),
% 73.79/10.74 inference(forward_subsumption_resolution,[],[f85467,f1454])).
% 73.79/10.74 % SZS output end Proof for theBenchmark
% 73.79/10.74 % (3348106)------------------------------
% 73.79/10.74 % (3348106)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 73.79/10.74 % (3348106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.79/10.74 % (3348106)CaDiCaL version: 2.1.3
% 73.79/10.74 % (3348106)Termination reason: Refutation
% 73.79/10.74 % (3348106)Time elapsed: 10.438 s
% 73.79/10.74 % (3348106)Peak memory usage: 104 MB
% 73.79/10.74 % (3348106)Instructions burned: 24760 (million)
% 73.79/10.74 % (3348100)Success in time 10.501 s
% 73.79/10.74 % Vampire exiting
%------------------------------------------------------------------------------