%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP085^2 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 08:10:38 AM UTC 2026
% Result : Theorem 85.92s 12.48s
% Output : Refutation 85.92s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP085^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 % Computer : n010.cluster.edu
% 0.08/0.21 % Model : x86_64 x86_64
% 0.08/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.21 % Memory : 8046.5625MB
% 0.08/0.21 % OS : Linux 6.8.0-71-generic
% 0.08/0.21 % CPULimit : 300
% 0.08/0.21 % WCLimit : 300
% 0.08/0.21 % DateTime : Tue Sep 29 19:50:49 UTC 2026
% 0.08/0.22 % CPUTime :
% 0.08/0.22 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.25 Running first-order model finding
% 0.08/0.25 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.25/1.10 % (3321064)Will run a generic schedule for satisfiability detection.
% 5.25/1.10 % (3321069)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1260780660_2999 on theBenchmark for (2999ds/0Mi)
% 5.25/1.10 % (3321070)% WARNING: option uhcvi not known.
% 5.25/1.10 % (3321070)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3411320527:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 5.25/1.10 % (3321071)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4022074328:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 5.25/1.10 % (3321072)dis+10_1_sil=32000:sp=arity:random_seed=3108937437:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 5.25/1.10 % (3321073)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3730496671:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 5.25/1.10 % (3321074)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=961877345:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 5.25/1.10 % (3321075)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=508171152:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 5.25/1.10 % Exception at run slice level
% 5.25/1.10 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.25/1.10 % (3321070)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.25/1.10 % (3321073)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.25/1.10 % (3321083)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1777113975:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 5.25/1.10 % (3321070)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 5.25/1.10 % (3321072)Instruction limit reached!
% 5.25/1.10 % (3321072)------------------------------
% 5.25/1.10 % (3321072)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.25/1.10 % (3321072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.25/1.10 % (3321072)CaDiCaL version: 2.1.3
% 5.25/1.10 % (3321072)Termination reason: Instruction limit
% 5.25/1.10 % (3321072)Termination phase: Saturation
% 5.25/1.10 % (3321072)Time elapsed: 0.045 s
% 5.25/1.10 % (3321072)Peak memory usage: 12 MB
% 5.25/1.10 % (3321072)Instructions burned: 104 (million)
% 5.25/1.10 % Exception at run slice level
% 5.25/1.10 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.25/1.10 % (3321073)Instruction limit reached!
% 5.25/1.10 % (3321073)------------------------------
% 5.25/1.10 % (3321073)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.25/1.10 % (3321073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.25/1.10 % (3321073)CaDiCaL version: 2.1.3
% 5.25/1.10 % (3321073)Termination reason: Instruction limit
% 5.25/1.10 % (3321073)Termination phase: Saturation
% 5.25/1.10 % (3321073)Time elapsed: 0.051 s
% 5.25/1.10 % (3321073)Peak memory usage: 12 MB
% 5.25/1.10 % (3321073)Instructions burned: 118 (million)
% 5.25/1.10 % (3321086)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=374352251:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 5.25/1.10 % (3321074)Instruction limit reached!
% 5.25/1.10 % (3321074)------------------------------
% 5.25/1.10 % (3321074)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.25/1.10 % (3321074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.25/1.10 % (3321074)CaDiCaL version: 2.1.3
% 5.25/1.10 % (3321074)Termination reason: Instruction limit
% 5.25/1.10 % (3321074)Termination phase: Saturation
% 5.25/1.10 % (3321074)Time elapsed: 0.058 s
% 5.25/1.10 % (3321074)Peak memory usage: 13 MB
% 5.25/1.10 % (3321074)Instructions burned: 131 (million)
% 5.25/1.10 % (3321085)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1214650027:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 5.25/1.10 % (3321086)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.25/1.10 % (3321087)ott-21_1_sil=16000:fs=off:random_seed=2141336653:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 5.25/1.10 % (3321075)Instruction limit reached!
% 5.25/1.10 % (3321075)------------------------------
% 5.25/1.10 % (3321075)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.16/2.71 % (3321075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.16/2.71 % (3321075)CaDiCaL version: 2.1.3
% 16.16/2.71 % (3321075)Termination reason: Instruction limit
% 16.16/2.71 % (3321075)Termination phase: Saturation
% 16.16/2.71 % (3321075)Time elapsed: 0.073 s
% 16.16/2.71 % (3321075)Peak memory usage: 13 MB
% 16.16/2.71 % (3321075)Instructions burned: 159 (million)
% 16.16/2.71 % (3321089)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=212539369:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 16.16/2.71 % (3321086)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 16.16/2.71 % (3321092)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3730367397:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 16.16/2.71 % (3321085)Instruction limit reached!
% 16.16/2.71 % (3321085)------------------------------
% 16.16/2.71 % (3321085)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.16/2.71 % (3321085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.16/2.71 % (3321085)CaDiCaL version: 2.1.3
% 16.16/2.71 % (3321085)Termination reason: Instruction limit
% 16.16/2.71 % (3321085)Termination phase: Saturation
% 16.16/2.71 % (3321085)Time elapsed: 0.060 s
% 16.16/2.71 % (3321085)Peak memory usage: 13 MB
% 16.16/2.71 % (3321085)Instructions burned: 133 (million)
% 16.16/2.71 % Exception at run slice level
% 16.16/2.71 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 16.16/2.71 % (3321095)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2710896790:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 16.16/2.71 % (3321087)Instruction limit reached!
% 16.16/2.71 % (3321087)------------------------------
% 16.16/2.71 % (3321087)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.16/2.71 % (3321087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.16/2.71 % (3321087)CaDiCaL version: 2.1.3
% 16.16/2.71 % (3321087)Termination reason: Instruction limit
% 16.16/2.71 % (3321087)Termination phase: Saturation
% 16.16/2.71 % (3321087)Time elapsed: 0.083 s
% 16.16/2.71 % (3321087)Peak memory usage: 13 MB
% 16.16/2.71 % (3321087)Instructions burned: 180 (million)
% 16.16/2.71 % (3321096)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2022929337:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 16.16/2.71 % (3321098)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=3365087482: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)
% 16.16/2.71 % (3321086)Instruction limit reached!
% 16.16/2.71 % (3321086)------------------------------
% 16.16/2.71 % (3321086)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.16/2.71 % (3321086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.16/2.71 % (3321086)CaDiCaL version: 2.1.3
% 16.16/2.71 % (3321086)Termination reason: Instruction limit
% 16.16/2.71 % (3321086)Termination phase: Saturation
% 16.16/2.71 % (3321086)Time elapsed: 0.125 s
% 16.16/2.71 % (3321086)Peak memory usage: 14 MB
% 16.16/2.71 % (3321086)Instructions burned: 690 (million)
% 16.16/2.71 % (3321098)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 16.16/2.71 % (3321101)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2863782314:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 16.16/2.71 % Exception at run slice level
% 16.16/2.71 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 16.16/2.71 % (3321101)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 16.16/2.71 % (3321103)fmb+10_1_sil=64000:random_seed=3636191419:i=22061:nm=2:gsp=on_2997 on theBenchmark for (2997ds/22061Mi)
% 16.16/2.71 % (3321103)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 16.16/2.71 % Exception at run slice level
% 16.16/2.71 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 16.16/2.71 % (3321105)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=4163924504:i=9515:nm=5_2996 on theBenchmark for (2996ds/9515Mi)
% 16.16/2.71 % Exception at run slice level
% 16.16/2.71 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 35.52/5.39 % (3321089)Instruction limit reached!
% 35.52/5.39 % (3321089)------------------------------
% 35.52/5.39 % (3321089)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.52/5.39 % (3321089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.52/5.39 % (3321089)CaDiCaL version: 2.1.3
% 35.52/5.39 % (3321089)Termination reason: Instruction limit
% 35.52/5.39 % (3321089)Termination phase: Saturation
% 35.52/5.39 % (3321089)Time elapsed: 0.254 s
% 35.52/5.39 % (3321089)Peak memory usage: 14 MB
% 35.52/5.39 % (3321089)Instructions burned: 478 (million)
% 35.52/5.39 % (3321107)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2219158163:fmbsr=1.7:i=920_2996 on theBenchmark for (2996ds/920Mi)
% 35.52/5.39 % (3321108)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=817027837:i=5131_2996 on theBenchmark for (2996ds/5131Mi)
% 35.52/5.39 % (3321108)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 35.52/5.39 % Exception at run slice level
% 35.52/5.39 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 35.52/5.39 % (3321111)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1135151847:i=1472:ins=7:fdi=8:gsp=on_2995 on theBenchmark for (2995ds/1472Mi)
% 35.52/5.39 % (3321098)Instruction limit reached!
% 35.52/5.39 % (3321098)------------------------------
% 35.52/5.39 % (3321098)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.52/5.39 % (3321098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.52/5.39 % (3321098)CaDiCaL version: 2.1.3
% 35.52/5.39 % (3321098)Termination reason: Instruction limit
% 35.52/5.39 % (3321098)Termination phase: Saturation
% 35.52/5.39 % (3321098)Time elapsed: 0.264 s
% 35.52/5.39 % (3321098)Peak memory usage: 16 MB
% 35.52/5.39 % (3321098)Instructions burned: 694 (million)
% 35.52/5.39 % (3321111)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 35.52/5.39 % (3321111)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 35.52/5.39 % (3321113)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=703654395:i=6324_2995 on theBenchmark for (2995ds/6324Mi)
% 35.52/5.39 % Exception at run slice level
% 35.52/5.39 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 35.52/5.39 % (3321115)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=204999334:fmbsr=2.30978:i=2174_2994 on theBenchmark for (2994ds/2174Mi)
% 35.52/5.39 % Exception at run slice level
% 35.52/5.39 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 35.52/5.39 % (3321117)ott-2_1_sil=16000:newcnf=on:random_seed=1867327083:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2993 on theBenchmark for (2993ds/869Mi)
% 35.52/5.39 % (3321117)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 35.52/5.39 % (3321101)Instruction limit reached!
% 35.52/5.39 % (3321101)------------------------------
% 35.52/5.39 % (3321101)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.52/5.39 % (3321101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.52/5.39 % (3321101)CaDiCaL version: 2.1.3
% 35.52/5.39 % (3321101)Termination reason: Instruction limit
% 35.52/5.39 % (3321101)Termination phase: Saturation
% 35.52/5.39 % (3321101)Time elapsed: 0.499 s
% 35.52/5.39 % (3321101)Peak memory usage: 19 MB
% 35.52/5.39 % (3321101)Instructions burned: 880 (million)
% 35.52/5.39 % (3321119)ott+10_1_sil=32000:tgt=ground:random_seed=1665166154:i=5114:av=off_2992 on theBenchmark for (2992ds/5114Mi)
% 35.52/5.39 % (3321095)Instruction limit reached!
% 35.52/5.39 % (3321095)------------------------------
% 35.52/5.39 % (3321095)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.52/5.39 % (3321095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.52/5.39 % (3321095)CaDiCaL version: 2.1.3
% 35.52/5.39 % (3321095)Termination reason: Instruction limit
% 35.52/5.39 % (3321095)Termination phase: Saturation
% 35.52/5.39 % (3321095)Time elapsed: 0.586 s
% 35.52/5.39 % (3321095)Peak memory usage: 19 MB
% 35.52/5.39 % (3321095)Instructions burned: 1180 (million)
% 35.52/5.39 % (3321121)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2985558718:i=54282_2992 on theBenchmark for (2992ds/54282Mi)
% 35.52/5.39 % Exception at run slice level
% 35.52/5.39 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 76.24/11.07 % (3321123)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2053169922:i=3512:aac=none_2991 on theBenchmark for (2991ds/3512Mi)
% 76.24/11.07 % (3321123)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 76.24/11.07 % (3321111)Instruction limit reached!
% 76.24/11.07 % (3321111)------------------------------
% 76.24/11.07 % (3321111)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 76.24/11.07 % (3321111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.24/11.07 % (3321111)CaDiCaL version: 2.1.3
% 76.24/11.07 % (3321111)Termination reason: Instruction limit
% 76.24/11.07 % (3321111)Termination phase: Saturation
% 76.24/11.07 % (3321111)Time elapsed: 0.468 s
% 76.24/11.07 % (3321111)Peak memory usage: 17 MB
% 76.24/11.07 % (3321111)Instructions burned: 1473 (million)
% 76.24/11.07 % (3321125)dis+21_1_sil=32000:sas=cadical:random_seed=1259572194:i=3773:amm=off_2990 on theBenchmark for (2990ds/3773Mi)
% 76.24/11.07 % (3321117)Instruction limit reached!
% 76.24/11.07 % (3321117)------------------------------
% 76.24/11.07 % (3321117)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 76.24/11.07 % (3321117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.24/11.07 % (3321117)CaDiCaL version: 2.1.3
% 76.24/11.07 % (3321117)Termination reason: Instruction limit
% 76.24/11.07 % (3321117)Termination phase: Saturation
% 76.24/11.07 % (3321117)Time elapsed: 0.402 s
% 76.24/11.07 % (3321117)Peak memory usage: 18 MB
% 76.24/11.07 % (3321117)Instructions burned: 871 (million)
% 76.24/11.07 % (3321127)ott+11_1_sil=16000:gs=on:random_seed=1647109333:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2989 on theBenchmark for (2989ds/2251Mi)
% 76.24/11.07 % (3321127)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 76.24/11.07 % (3321125)Instruction limit reached!
% 76.24/11.07 % (3321125)------------------------------
% 76.24/11.07 % (3321125)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 76.24/11.07 % (3321125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.24/11.07 % (3321125)CaDiCaL version: 2.1.3
% 76.24/11.07 % (3321125)Termination reason: Instruction limit
% 76.24/11.07 % (3321125)Termination phase: Saturation
% 76.24/11.07 % (3321125)Time elapsed: 0.895 s
% 76.24/11.07 % (3321125)Peak memory usage: 28 MB
% 76.24/11.07 % (3321125)Instructions burned: 3774 (million)
% 76.24/11.07 % (3321129)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=1249174419:fmbsr=1.6:i=67534_2981 on theBenchmark for (2981ds/67534Mi)
% 76.24/11.07 % Exception at run slice level
% 76.24/11.07 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 76.24/11.07 % (3321131)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=1148185136:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2981 on theBenchmark for (2981ds/4591Mi)
% 76.24/11.07 % (3321127)Instruction limit reached!
% 76.24/11.07 % (3321127)------------------------------
% 76.24/11.07 % (3321127)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 76.24/11.07 % (3321127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.24/11.07 % (3321127)CaDiCaL version: 2.1.3
% 76.24/11.07 % (3321127)Termination reason: Instruction limit
% 76.24/11.07 % (3321127)Termination phase: Saturation
% 76.24/11.07 % (3321127)Time elapsed: 0.996 s
% 76.24/11.07 % (3321127)Peak memory usage: 22 MB
% 76.24/11.07 % (3321127)Instructions burned: 2252 (million)
% 76.24/11.07 % (3321133)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=386286889:i=29340_2979 on theBenchmark for (2979ds/29340Mi)
% 76.24/11.07 % (3321123)Instruction limit reached!
% 76.24/11.07 % (3321123)------------------------------
% 76.24/11.07 % (3321123)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 76.24/11.07 % (3321123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.24/11.07 % (3321123)CaDiCaL version: 2.1.3
% 76.24/11.07 % (3321123)Termination reason: Instruction limit
% 76.24/11.07 % (3321123)Termination phase: Saturation
% 76.24/11.07 % (3321123)Time elapsed: 1.564 s
% 76.24/11.07 % (3321123)Peak memory usage: 27 MB
% 76.24/11.07 % (3321123)Instructions burned: 3513 (million)
% 76.24/11.07 % (3321135)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=3869841473:i=5211_2975 on theBenchmark for (2975ds/5211Mi)
% 85.92/12.48 % (3321108)Instruction limit reached!
% 85.92/12.48 % (3321108)------------------------------
% 85.92/12.48 % (3321108)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 85.92/12.48 % (3321108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.92/12.48 % (3321108)CaDiCaL version: 2.1.3
% 85.92/12.48 % (3321108)Termination reason: Instruction limit
% 85.92/12.48 % (3321108)Termination phase: Saturation
% 85.92/12.48 % (3321108)Time elapsed: 2.197 s
% 85.92/12.48 % (3321108)Peak memory usage: 30 MB
% 85.92/12.48 % (3321108)Instructions burned: 5132 (million)
% 85.92/12.48 % (3321137)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=1695312183:i=5497:nm=2_2973 on theBenchmark for (2973ds/5497Mi)
% 85.92/12.48 % Exception at run slice level
% 85.92/12.48 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 85.92/12.48 % (3321139)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=3735265014:fmbsr=2:i=46332_2973 on theBenchmark for (2973ds/46332Mi)
% 85.92/12.48 % Exception at run slice level
% 85.92/12.48 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 85.92/12.48 % (3321141)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=1120855259:i=14071_2972 on theBenchmark for (2972ds/14071Mi)
% 85.92/12.48 % Exception at run slice level
% 85.92/12.48 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 85.92/12.48 % (3321143)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3289697765:i=22565:add=on:rawr=on_2972 on theBenchmark for (2972ds/22565Mi)
% 85.92/12.48 % (3321131)Instruction limit reached!
% 85.92/12.48 % (3321131)------------------------------
% 85.92/12.48 % (3321131)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 85.92/12.48 % (3321131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.92/12.48 % (3321131)CaDiCaL version: 2.1.3
% 85.92/12.48 % (3321131)Termination reason: Instruction limit
% 85.92/12.48 % (3321131)Termination phase: Saturation
% 85.92/12.48 % (3321131)Time elapsed: 1.191 s
% 85.92/12.48 % (3321131)Peak memory usage: 28 MB
% 85.92/12.48 % (3321131)Instructions burned: 4594 (million)
% 85.92/12.48 % (3321145)ott+4_1_sil=16000:sp=arity:gs=on:random_seed=1667992678:i=8173:av=off_2969 on theBenchmark for (2969ds/8173Mi)
% 85.92/12.48 % (3321119)Instruction limit reached!
% 85.92/12.48 % (3321119)------------------------------
% 85.92/12.48 % (3321119)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 85.92/12.48 % (3321119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.92/12.48 % (3321119)CaDiCaL version: 2.1.3
% 85.92/12.48 % (3321119)Termination reason: Instruction limit
% 85.92/12.48 % (3321119)Termination phase: Saturation
% 85.92/12.48 % (3321119)Time elapsed: 2.541 s
% 85.92/12.48 % (3321119)Peak memory usage: 42 MB
% 85.92/12.48 % (3321119)Instructions burned: 5115 (million)
% 85.92/12.48 % (3321147)dis+10_16:1_sil=16000:random_seed=933778090:i=9155:fsr=off_2966 on theBenchmark for (2966ds/9155Mi)
% 85.92/12.48 % (3321135)Instruction limit reached!
% 85.92/12.48 % (3321135)------------------------------
% 85.92/12.48 % (3321135)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 85.92/12.48 % (3321135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.92/12.48 % (3321135)CaDiCaL version: 2.1.3
% 85.92/12.48 % (3321135)Termination reason: Instruction limit
% 85.92/12.48 % (3321135)Termination phase: Saturation
% 85.92/12.48 % (3321135)Time elapsed: 2.549 s
% 85.92/12.48 % (3321135)Peak memory usage: 46 MB
% 85.92/12.48 % (3321135)Instructions burned: 5212 (million)
% 85.92/12.48 % (3321149)ott-3_8_sil=64000:random_seed=2700311505:i=20139:bs=on_2949 on theBenchmark for (2949ds/20139Mi)
% 85.92/12.48 % (3321145)Instruction limit reached!
% 85.92/12.48 % (3321145)------------------------------
% 85.92/12.48 % (3321145)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 85.92/12.48 % (3321145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.92/12.48 % (3321145)CaDiCaL version: 2.1.3
% 85.92/12.48 % (3321145)Termination reason: Instruction limit
% 85.92/12.48 % (3321145)Termination phase: Saturation
% 85.92/12.48 % (3321145)Time elapsed: 2.029 s
% 85.92/12.48 % (3321145)Peak memory usage: 62 MB
% 85.92/12.48 % (3321145)Instructions burned: 8177 (million)
% 85.92/12.48 % (3321151)fmb+10_1_sil=64000:tgt=ground:sas=cadical:bce=on:fmbss=9:random_seed=32050235:fmbsr=2:i=32576_2948 on theBenchmark for (2948ds/32576Mi)
% 85.92/12.48 % Exception at run slice level
% 85.92/12.48 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 85.92/12.48 % (3321153)ott+10_8:1_sil=16000:sp=arity:gs=on:random_seed=1664409556:i=11404_2948 on theBenchmark for (2948ds/11404Mi)
% 85.92/12.48 % (3321147)Instruction limit reached!
% 85.92/12.48 % (3321147)------------------------------
% 85.92/12.48 % (3321147)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 85.92/12.48 % (3321147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.92/12.48 % (3321147)CaDiCaL version: 2.1.3
% 85.92/12.48 % (3321147)Termination reason: Instruction limit
% 85.92/12.48 % (3321147)Termination phase: Saturation
% 85.92/12.48 % (3321147)Time elapsed: 4.221 s
% 85.92/12.48 % (3321147)Peak memory usage: 52 MB
% 85.92/12.48 % (3321147)Instructions burned: 9155 (million)
% 85.92/12.48 % (3321155)ott-11_1_sil=16000:alpa=false:sac=on:random_seed=2871719311:i=14134_2924 on theBenchmark for (2924ds/14134Mi)
% 85.92/12.48 % (3321155)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 85.92/12.48 % (3321153)Instruction limit reached!
% 85.92/12.48 % (3321153)------------------------------
% 85.92/12.48 % (3321153)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 85.92/12.48 % (3321153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.92/12.48 % (3321153)CaDiCaL version: 2.1.3
% 85.92/12.48 % (3321153)Termination reason: Instruction limit
% 85.92/12.48 % (3321153)Termination phase: Saturation
% 85.92/12.48 % (3321153)Time elapsed: 2.926 s
% 85.92/12.48 % (3321153)Peak memory usage: 96 MB
% 85.92/12.48 % (3321153)Instructions burned: 11406 (million)
% 85.92/12.48 % (3321157)dis+33_16_sil=32000:sac=on:random_seed=3000427347:i=15851:nm=0_2918 on theBenchmark for (2918ds/15851Mi)
% 85.92/12.48 % (3321143)Instruction limit reached!
% 85.92/12.48 % (3321143)------------------------------
% 85.92/12.48 % (3321143)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 85.92/12.48 % (3321143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.92/12.48 % (3321143)CaDiCaL version: 2.1.3
% 85.92/12.48 % (3321143)Termination reason: Instruction limit
% 85.92/12.48 % (3321143)Termination phase: Saturation
% 85.92/12.48 % (3321143)Time elapsed: 6.443 s
% 85.92/12.48 % (3321143)Peak memory usage: 17 MB
% 85.92/12.48 % (3321143)Instructions burned: 22569 (million)
% 85.92/12.48 % (3321159)dis+4_1024_sil=32000:avsql=on:sp=occurrence:gs=on:avsqc=1:random_seed=133615384:avsq=on:i=17627:add=on:amm=off_2907 on theBenchmark for (2907ds/17627Mi)
% 85.92/12.48 % (3321157)Instruction limit reached!
% 85.92/12.48 % (3321157)------------------------------
% 85.92/12.48 % (3321157)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 85.92/12.48 % (3321157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.92/12.48 % (3321157)CaDiCaL version: 2.1.3
% 85.92/12.48 % (3321157)Termination reason: Instruction limit
% 85.92/12.48 % (3321157)Termination phase: Saturation
% 85.92/12.48 % (3321157)Time elapsed: 2.288 s
% 85.92/12.48 % (3321157)Peak memory usage: 16 MB
% 85.92/12.48 % (3321157)Instructions burned: 15859 (million)
% 85.92/12.48 % (3321161)ott+10_64_anc=all:sil=128000:sas=cadical:bsr=unit_only:nwc=1:cn=on:random_seed=1303690991:s2a=on:i=53295_2895 on theBenchmark for (2895ds/53295Mi)
% 85.92/12.48 % (3321133)Instruction limit reached!
% 85.92/12.48 % (3321133)------------------------------
% 85.92/12.48 % (3321133)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 85.92/12.48 % (3321133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.92/12.48 % (3321133)CaDiCaL version: 2.1.3
% 85.92/12.48 % (3321133)Termination reason: Instruction limit
% 85.92/12.48 % (3321133)Termination phase: Saturation
% 85.92/12.48 % (3321133)Time elapsed: 8.638 s
% 85.92/12.48 % (3321133)Peak memory usage: 45 MB
% 85.92/12.48 % (3321133)Instructions burned: 29340 (million)
% 85.92/12.48 % (3321163)fmb+10_1_sil=32000:sas=cadical:fmbss=16:random_seed=953550459:i=26857:ins=20_2892 on theBenchmark for (2892ds/26857Mi)
% 85.92/12.48 % Exception at run slice level
% 85.92/12.48 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 85.92/12.48 % (3321165)ott+10_1_sil=64000:plsq=on:plsqc=4:bsr=unit_only:gs=on:random_seed=1915541378:i=28120:bs=on:fsr=off_2892 on theBenchmark for (2892ds/28120Mi)
% 85.92/12.48 % (3321149)Instruction limit reached!
% 85.92/12.48 % (3321149)------------------------------
% 85.92/12.48 % (3321149)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 85.92/12.48 % (3321149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.92/12.48 % (3321149)CaDiCaL version: 2.1.3
% 85.92/12.48 % (3321149)Termination reason: Instruction limit
% 85.92/12.48 % (3321149)Termination phase: Saturation
% 85.92/12.48 % (3321149)Time elapsed: 5.789 s
% 85.92/12.48 % (3321149)Peak memory usage: 22 MB
% 85.92/12.48 % (3321149)Instructions burned: 20142 (million)
% 85.92/12.48 % (3321167)fmb+10_1_sil=256000:fmbss=7:random_seed=1970039557:fmbsr=1.6:i=182295_2891 on theBenchmark for (2891ds/182295Mi)
% 85.92/12.48 % Exception at run slice level
% 85.92/12.48 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 85.92/12.48 % (3321169)fmb+10_1_sil=128000:fmbss=21:newcnf=on:random_seed=254555777:i=44625:gsp=on_2891 on theBenchmark for (2891ds/44625Mi)
% 85.92/12.48 % (3321169)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 85.92/12.48 % (3321169)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 85.92/12.48 % Exception at run slice level
% 85.92/12.48 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 85.92/12.48 % (3321171)fmb+10_1_sil=256000:sas=cadical:fmbss=15:random_seed=1714713544:i=160505_2890 on theBenchmark for (2890ds/160505Mi)
% 85.92/12.48 % Exception at run slice level
% 85.92/12.48 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 85.92/12.48 % (3321173)fmb+10_1_sil=256000:tgt=full:fmbss=10:random_seed=4266344652:fmbsr=1.3:i=225729_2889 on theBenchmark for (2889ds/225729Mi)
% 85.92/12.48 % Exception at run slice level
% 85.92/12.48 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 85.92/12.48 % (3321175)fmb+10_1_sil=256000:tgt=full:sas=cadical:fmbss=10:random_seed=4067260720:fmbsr=2:i=185024:ins=7_2889 on theBenchmark for (2889ds/185024Mi)
% 85.92/12.48 % Exception at run slice level
% 85.92/12.48 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 85.92/12.48 % (3321177)fmb+10_1_sas=cadical:si=on:bce=on:rp=on:random_seed=3788550955:rtra=on_2888 on theBenchmark for (2888ds/0Mi)
% 85.92/12.48 % Exception at run slice level
% 85.92/12.48 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 85.92/12.48 % (3321179)% WARNING: option uhcvi not known.
% 85.92/12.48 % (3321179)dis+11_61:31_drc=ordering:si=on:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3675816144:i=271062:add=off:rtra=on:rawr=on_2888 on theBenchmark for (2888ds/271062Mi)
% 85.92/12.48 % (3321179)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 85.92/12.48 % (3321179)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 85.92/12.48 % (3321070) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3321064-3321070"...
% 85.92/12.48 % (3321070)...printing done.
% 85.92/12.48 % (3321070)Refutation found. Thanks to Tanya!
% 85.92/12.48 % SZS status Theorem for theBenchmark
% 85.92/12.48 % SZS output start Proof for theBenchmark
% 85.92/12.48 thf(type_def_5, type, secrecy_Expression: $tType).
% 85.92/12.48 thf(type_def_6, type, secrecy_Secrets: $tType).
% 85.92/12.48 thf(type_def_7, type, secrecy_specID: $tType).
% 85.92/12.48 thf(type_def_8, type, secrecy_Keys: $tType).
% 85.92/12.48 thf(type_def_9, type, secrecy_KS: $tType).
% 85.92/12.48 thf(type_def_10, type, list: $tType > $tType).
% 85.92/12.48 thf(type_def_11, type, set: $tType > $tType).
% 85.92/12.48 thf(type_def_12, type, sTfun: ($tType * $tType) > $tType).
% 85.92/12.48 thf(func_def_0, type, type: !>[X0: $tType]:($o)).
% 85.92/12.48 thf(func_def_1, type, ord: !>[X0: $tType]:($o)).
% 85.92/12.48 thf(func_def_2, type, linorder: !>[X0: $tType]:($o)).
% 85.92/12.48 thf(func_def_3, type, bNF_Greatest_Shift: !>[X0: $tType]:((set @ list @ X0 > X0 > set @ list @ X0))).
% 85.92/12.48 thf(func_def_4, type, bNF_Greatest_Succ: !>[X0: $tType]:((set @ list @ X0 > list @ X0 > set @ X0))).
% 85.92/12.48 thf(func_def_5, type, bNF_Greatest_shift: !>[X0: $tType, X1: $tType]:(((list @ X0 > X1) > X0 > list @ X0 > X1))).
% 85.92/12.48 thf(func_def_6, type, localSecrets: (secrecy_specID > set @ secrecy_KS)).
% 85.92/12.48 thf(func_def_7, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 85.92/12.48 thf(func_def_8, type, knowle1667810483orrect: (secrecy_specID > secrecy_KS > $o)).
% 85.92/12.48 thf(func_def_9, type, knowle1893229345orrect: (secrecy_specID > secrecy_Expression > $o)).
% 85.92/12.48 thf(func_def_10, type, knowle1437066798e_know: (secrecy_specID > secrecy_KS > $o)).
% 85.92/12.48 thf(func_def_11, type, knowle2055185861_knows: (secrecy_specID > list @ secrecy_Expression > $o)).
% 85.92/12.48 thf(func_def_12, type, mem: !>[X0: $tType]:((X0 > list @ X0 > $o))).
% 85.92/12.48 thf(func_def_13, type, append: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 85.92/12.48 thf(func_def_14, type, arg_min_list: !>[X0: $tType, X1: $tType]:(((X0 > X1) > list @ X0 > X0))).
% 85.92/12.48 thf(func_def_15, type, bind: !>[X0: $tType, X1: $tType]:((list @ X0 > (X0 > list @ X1) > list @ X1))).
% 85.92/12.48 thf(func_def_16, type, butlast: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 85.92/12.48 thf(func_def_17, type, concat: !>[X0: $tType]:((list @ list @ X0 > list @ X0))).
% 85.92/12.48 thf(func_def_18, type, distinct_adj: !>[X0: $tType]:((list @ X0 > $o))).
% 85.92/12.48 thf(func_def_19, type, foldr: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > list @ X0 > X1 > X1))).
% 85.92/12.48 thf(func_def_20, type, insert: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 85.92/12.48 thf(func_def_21, type, last: !>[X0: $tType]:((list @ X0 > X0))).
% 85.92/12.48 thf(func_def_22, type, cons: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 85.92/12.48 thf(func_def_23, type, nil: !>[X0: $tType]:(list @ X0)).
% 85.92/12.48 thf(func_def_24, type, case_list: !>[X0: $tType, X1: $tType]:((X0 > (X1 > list @ X1 > X0) > list @ X1 > X0))).
% 85.92/12.48 thf(func_def_25, type, hd: !>[X0: $tType]:((list @ X0 > X0))).
% 85.92/12.48 thf(func_def_26, type, tl: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 85.92/12.48 thf(func_def_27, type, list_ex1: !>[X0: $tType]:(((X0 > $o) > list @ X0 > $o))).
% 85.92/12.48 thf(func_def_28, type, listrelp: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > list @ X0 > list @ X1 > $o))).
% 85.92/12.48 thf(func_def_29, type, map_tailrec: !>[X0: $tType, X1: $tType]:(((X0 > X1) > list @ X0 > list @ X1))).
% 85.92/12.48 thf(func_def_30, type, map_tailrec_rev: !>[X0: $tType, X1: $tType]:(((X0 > X1) > list @ X0 > list @ X1 > list @ X1))).
% 85.92/12.48 thf(func_def_31, type, maps: !>[X0: $tType, X1: $tType]:(((X0 > list @ X1) > list @ X0 > list @ X1))).
% 85.92/12.48 thf(func_def_32, type, member: !>[X0: $tType]:((list @ X0 > X0 > $o))).
% 85.92/12.48 thf(func_def_33, type, lexordp_eq: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ X0 > $o))).
% 85.92/12.48 thf(func_def_34, type, ord_lexordp_eq: !>[X0: $tType]:((list @ X0 > list @ X0 > $o))).
% 85.92/12.48 thf(func_def_35, type, product_lists: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 85.92/12.48 thf(func_def_36, type, remdups_adj: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 85.92/12.48 thf(func_def_37, type, rev: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 85.92/12.48 thf(func_def_38, type, rotate1: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 85.92/12.48 thf(func_def_39, type, shuffles: !>[X0: $tType]:((list @ X0 > list @ X0 > set @ list @ X0))).
% 85.92/12.48 thf(func_def_40, type, splice: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 85.92/12.48 thf(func_def_41, type, subseqs: !>[X0: $tType]:((list @ X0 > list @ list @ X0))).
% 85.92/12.48 thf(func_def_42, type, successively: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > $o))).
% 85.92/12.48 thf(func_def_43, type, ord_less: !>[X0: $tType]:((X0 > X0 > $o))).
% 85.92/12.48 thf(func_def_44, type, decr: (secrecy_Keys > list @ secrecy_Expression > list @ secrecy_Expression)).
% 85.92/12.48 thf(func_def_45, type, enc: (secrecy_Keys > list @ secrecy_Expression > list @ secrecy_Expression)).
% 85.92/12.48 thf(func_def_46, type, encrDecrKeys: (secrecy_Keys > secrecy_Keys > $o)).
% 85.92/12.48 thf(func_def_47, type, ext: (secrecy_Keys > list @ secrecy_Expression > list @ secrecy_Expression)).
% 85.92/12.48 thf(func_def_48, type, sign: (secrecy_Keys > list @ secrecy_Expression > list @ secrecy_Expression)).
% 85.92/12.48 thf(func_def_49, type, eout: (secrecy_specID > secrecy_Expression > $o)).
% 85.92/12.48 thf(func_def_50, type, ine: (secrecy_specID > secrecy_Expression > $o)).
% 85.92/12.48 thf(func_def_51, type, notSpe1586871396tsExpr: (secrecy_specID > list @ secrecy_Expression > $o)).
% 85.92/12.48 thf(func_def_52, type, specKeys: (secrecy_specID > set @ secrecy_Keys)).
% 85.92/12.48 thf(func_def_53, type, specKeysSecrets: (secrecy_specID > set @ secrecy_KS)).
% 85.92/12.48 thf(func_def_54, type, specSecrets: (secrecy_specID > set @ secrecy_Secrets)).
% 85.92/12.48 thf(func_def_55, type, secrec1371625429on2KSL: (list @ secrecy_Expression > list @ secrecy_KS)).
% 85.92/12.48 thf(func_def_56, type, secrecy_kE: (secrecy_Keys > secrecy_Expression)).
% 85.92/12.48 thf(func_def_57, type, secrecy_sE: (secrecy_Secrets > secrecy_Expression)).
% 85.92/12.48 thf(func_def_58, type, secrec1016742679ession: (secrecy_KS > secrecy_Expression)).
% 85.92/12.48 thf(func_def_59, type, secrecy_case_KS: !>[X0: $tType]:(((secrecy_Keys > X0) > (secrecy_Secrets > X0) > secrecy_KS > X0))).
% 85.92/12.48 thf(func_def_60, type, secrecy_kKS: (secrecy_Keys > secrecy_KS)).
% 85.92/12.48 thf(func_def_61, type, secrecy_rec_KS: !>[X0: $tType]:(((secrecy_Keys > X0) > (secrecy_Secrets > X0) > secrecy_KS > X0))).
% 85.92/12.48 thf(func_def_62, type, secrecy_sKS: (secrecy_Secrets > secrecy_KS)).
% 85.92/12.48 thf(func_def_63, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 85.92/12.48 thf(func_def_64, type, member2: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 85.92/12.48 thf(func_def_65, type, a: secrecy_specID).
% 85.92/12.48 thf(func_def_66, type, m: secrecy_Secrets).
% 85.92/12.48 thf(func_def_70, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 85.92/12.48 thf(func_def_71, type, vOR: ($o > $o > $o)).
% 85.92/12.48 thf(func_def_72, type, vAND: ($o > $o > $o)).
% 85.92/12.48 thf(func_def_73, type, vNOT: ($o > $o)).
% 85.92/12.48 thf(func_def_74, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 85.92/12.48 thf(func_def_75, type, db0: !>[X0: $tType]:(X0)).
% 85.92/12.48 thf(func_def_76, type, db1: !>[X0: $tType]:(X0)).
% 85.92/12.48 thf(func_def_77, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 85.92/12.48 thf(func_def_78, type, db2: !>[X0: $tType]:(X0)).
% 85.92/12.48 thf(func_def_79, type, db5: !>[X0: $tType]:(X0)).
% 85.92/12.48 thf(func_def_80, type, db3: !>[X0: $tType]:(X0)).
% 85.92/12.48 thf(func_def_81, type, db4: !>[X0: $tType]:(X0)).
% 85.92/12.48 thf(func_def_82, type, db6: !>[X0: $tType]:(X0)).
% 85.92/12.48 thf(func_def_83, type, vIMP: ($o > $o > $o)).
% 85.92/12.48 thf(func_def_84, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 85.92/12.48 thf(func_def_85, type, sP0: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > $o))).
% 85.92/12.48 thf(func_def_86, type, sP1: !>[X0: $tType]:(((X0 > X0 > $o) > (list @ X0 > list @ X0 > $o) > $o))).
% 85.92/12.48 thf(func_def_87, type, sP2: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > $o))).
% 85.92/12.48 thf(func_def_88, type, sP3: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > $o))).
% 85.92/12.48 thf(func_def_89, type, sP4: !>[X0: $tType]:((list @ X0 > list @ X0 > $o))).
% 85.92/12.48 thf(func_def_90, type, sP5: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > $o))).
% 85.92/12.48 thf(func_def_91, type, sK6: (secrecy_KS > secrecy_Secrets)).
% 85.92/12.48 thf(func_def_92, type, sK7: (secrecy_KS > secrecy_Keys)).
% 85.92/12.48 thf(func_def_93, type, sK8: ((secrecy_KS > $o) > secrecy_Secrets)).
% 85.92/12.48 thf(func_def_94, type, sK9: ((secrecy_KS > $o) > secrecy_Keys)).
% 85.92/12.48 thf(func_def_95, type, sK10: !>[X0: $tType]:((list @ X0 > X0))).
% 85.92/12.48 thf(func_def_96, type, sK11: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 85.92/12.48 thf(func_def_97, type, sK12: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 85.92/12.48 thf(func_def_98, type, sK13: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 85.92/12.48 thf(func_def_99, type, sK14: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X0))).
% 85.92/12.48 thf(func_def_100, type, sK15: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X0))).
% 85.92/12.48 thf(func_def_101, type, sK16: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X1))).
% 85.92/12.48 thf(func_def_102, type, sK17: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X1))).
% 85.92/12.48 thf(func_def_103, type, sK18: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X1))).
% 85.92/12.48 thf(func_def_104, type, sK19: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X1))).
% 85.92/12.48 thf(func_def_105, type, sK20: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X0))).
% 85.92/12.48 thf(func_def_106, type, sK21: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X0))).
% 85.92/12.48 thf(func_def_107, type, sK22: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 85.92/12.48 thf(func_def_108, type, sK23: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 85.92/12.48 thf(func_def_109, type, sK24: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 85.92/12.48 thf(func_def_110, type, sK25: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 85.92/12.48 thf(func_def_111, type, sK26: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 85.92/12.48 thf(func_def_112, type, sK27: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 85.92/12.48 thf(func_def_113, type, sK28: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 85.92/12.48 thf(func_def_114, type, sK29: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 85.92/12.48 thf(func_def_115, type, sK30: !>[X0: $tType]:((list @ X0 > X0))).
% 85.92/12.48 thf(func_def_116, type, sK31: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 85.92/12.48 thf(func_def_117, type, sK32: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 85.92/12.48 thf(func_def_118, type, sK33: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 85.92/12.48 thf(func_def_119, type, sK34: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 85.92/12.48 thf(func_def_120, type, sK35: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 85.92/12.48 thf(func_def_121, type, sK36: !>[X0: $tType]:((list @ X0 > X0))).
% 85.92/12.48 thf(func_def_122, type, sK37: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 85.92/12.48 thf(func_def_123, type, sK38: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > X0 > X1))).
% 85.92/12.48 thf(func_def_124, type, sK39: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > X0))).
% 85.92/12.48 thf(func_def_125, type, sK40: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > list @ X0))).
% 85.92/12.48 thf(func_def_126, type, sK41: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > list @ X1))).
% 85.92/12.48 thf(func_def_127, type, sK42: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > X0 > X1))).
% 85.92/12.48 thf(func_def_128, type, sK43: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > list @ X1))).
% 85.92/12.48 thf(func_def_129, type, sK44: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 85.92/12.48 thf(func_def_130, type, sK45: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 85.92/12.48 thf(func_def_131, type, sK46: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 85.92/12.48 thf(func_def_132, type, sK47: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 85.92/12.48 thf(func_def_133, type, sK48: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 85.92/12.48 thf(func_def_134, type, sK49: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 85.92/12.48 thf(func_def_135, type, sK50: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > list @ X0))).
% 85.92/12.48 thf(func_def_136, type, sK51: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 85.92/12.48 thf(func_def_137, type, sK52: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 85.92/12.48 thf(func_def_138, type, sK53: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 85.92/12.48 thf(func_def_139, type, sK54: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1 > X0))).
% 85.92/12.48 thf(func_def_140, type, sK55: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1 > X0))).
% 85.92/12.48 thf(func_def_141, type, sK56: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1))).
% 85.92/12.48 thf(func_def_142, type, sK57: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1))).
% 85.92/12.48 thf(func_def_143, type, sK58: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > list @ X1))).
% 85.92/12.48 thf(func_def_144, type, sK59: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1 > X0))).
% 85.92/12.48 thf(func_def_145, type, sK60: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1))).
% 85.92/12.48 thf(func_def_146, type, sK61: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 85.92/12.48 thf(func_def_147, type, sK62: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 85.92/12.48 thf(func_def_148, type, sK63: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 85.92/12.48 thf(func_def_149, type, sK64: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 85.92/12.48 thf(func_def_150, type, sK65: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 85.92/12.48 thf(func_def_151, type, sK66: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 85.92/12.48 thf(func_def_152, type, sK67: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > list @ X0))).
% 85.92/12.48 thf(func_def_153, type, sK68: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 85.92/12.48 thf(func_def_154, type, sK69: !>[X0: $tType]:((list @ X0 > X0))).
% 85.92/12.48 thf(func_def_155, type, sK70: !>[X0: $tType]:((list @ X0 > X0))).
% 85.92/12.48 thf(func_def_156, type, sK71: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 85.92/12.48 thf(func_def_157, type, sK72: !>[X0: $tType]:((list @ X0 > X0))).
% 85.92/12.48 thf(func_def_158, type, sK73: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 85.92/12.48 thf(func_def_159, type, sK74: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 85.92/12.48 thf(func_def_160, type, sK75: !>[X0: $tType]:((list @ list @ X0 > X0))).
% 85.92/12.48 thf(func_def_161, type, sK76: !>[X0: $tType]:((list @ list @ X0 > list @ X0))).
% 85.92/12.48 thf(func_def_162, type, sK77: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 85.92/12.48 thf(func_def_163, type, sK78: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 85.92/12.48 thf(func_def_164, type, sK79: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 85.92/12.48 thf(func_def_165, type, sK80: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 85.92/12.48 thf(func_def_166, type, sK81: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 85.92/12.48 thf(func_def_167, type, sK82: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 85.92/12.48 thf(func_def_168, type, sK83: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 85.92/12.48 thf(func_def_169, type, sK84: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 85.92/12.48 thf(func_def_170, type, sK85: (secrecy_Expression > secrecy_specID > secrecy_Secrets)).
% 85.92/12.48 thf(func_def_171, type, sK86: (secrecy_Expression > secrecy_specID > secrecy_Keys)).
% 85.92/12.48 thf(func_def_172, type, sK87: !>[X0: $tType, X1: $tType]:((list @ X1 > list @ X1 > list @ X0 > (X0 > X1) > X0))).
% 85.92/12.48 thf(func_def_173, type, sK88: !>[X0: $tType, X1: $tType]:((list @ X1 > list @ X1 > list @ X0 > (X0 > X1) > list @ X0))).
% 85.92/12.48 thf(func_def_174, type, sK89: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > (X0 > X1 > $o) > X0))).
% 85.92/12.48 thf(func_def_175, type, sK90: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > (X0 > X1 > $o) > X1))).
% 85.92/12.48 thf(func_def_176, type, sK91: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > (X0 > X1 > $o) > list @ X0))).
% 85.92/12.48 thf(func_def_177, type, sK92: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > (X0 > X1 > $o) > list @ X1))).
% 85.92/12.48 thf(func_def_178, type, sK93: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > X0))).
% 85.92/12.48 thf(func_def_179, type, sK94: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > X0))).
% 85.92/12.48 thf(func_def_180, type, sK95: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > list @ X0))).
% 85.92/12.48 thf(func_def_181, type, sK96: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > list @ X0))).
% 85.92/12.48 thf(func_def_182, type, sK97: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > X0))).
% 85.92/12.48 thf(func_def_183, type, sK98: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > X0))).
% 85.92/12.48 thf(func_def_184, type, sK99: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > list @ X0))).
% 85.92/12.48 thf(func_def_185, type, sK100: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > list @ X0))).
% 85.92/12.48 thf(func_def_186, type, sK101: !>[X0: $tType]:(((X0 > X0 > $o) > (list @ X0 > list @ X0 > $o) > X0))).
% 85.92/12.48 thf(func_def_187, type, sK102: !>[X0: $tType]:(((X0 > X0 > $o) > (list @ X0 > list @ X0 > $o) > X0))).
% 85.92/12.48 thf(func_def_188, type, sK103: !>[X0: $tType]:(((X0 > X0 > $o) > (list @ X0 > list @ X0 > $o) > list @ X0))).
% 85.92/12.48 thf(func_def_189, type, sK104: !>[X0: $tType]:(((X0 > X0 > $o) > (list @ X0 > list @ X0 > $o) > list @ X0))).
% 85.92/12.48 thf(func_def_190, type, sK105: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > X0))).
% 85.92/12.48 thf(func_def_191, type, sK106: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > X0))).
% 85.92/12.48 thf(func_def_192, type, sK107: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > list @ X0))).
% 85.92/12.48 thf(func_def_193, type, sK108: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > list @ X0))).
% 85.92/12.48 thf(func_def_194, type, sK109: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 85.92/12.48 thf(func_def_195, type, sK110: !>[X0: $tType, X1: $tType]:((list @ X1 > list @ X0 > (X0 > X1 > $o) > X0))).
% 85.92/12.48 thf(func_def_196, type, sK111: !>[X0: $tType, X1: $tType]:((list @ X1 > list @ X0 > (X0 > X1 > $o) > X1))).
% 85.92/12.48 thf(func_def_197, type, sK112: !>[X0: $tType, X1: $tType]:((list @ X1 > list @ X0 > (X0 > X1 > $o) > list @ X0))).
% 85.92/12.48 thf(func_def_198, type, sK113: !>[X0: $tType, X1: $tType]:((list @ X1 > list @ X0 > (X0 > X1 > $o) > list @ X1))).
% 85.92/12.48 thf(func_def_199, type, sK114: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > X0))).
% 85.92/12.48 thf(func_def_200, type, sK115: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 85.92/12.48 thf(func_def_201, type, sK116: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 85.92/12.48 thf(func_def_202, type, sK117: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 85.92/12.48 thf(func_def_203, type, sK118: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 85.92/12.48 thf(func_def_204, type, sK119: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 85.92/12.48 thf(func_def_205, type, sK120: !>[X0: $tType]:((list @ X0 > X0))).
% 85.92/12.48 thf(func_def_206, type, sK121: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 85.92/12.48 thf(func_def_207, type, sK122: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 85.92/12.48 thf(func_def_208, type, sK123: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ list @ X0 > list @ list @ X0))).
% 85.92/12.48 thf(func_def_209, type, sK124: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ list @ X0 > list @ X0))).
% 85.92/12.48 thf(func_def_210, type, sK125: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ list @ X0 > list @ X0))).
% 85.92/12.48 thf(func_def_211, type, sK126: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ list @ X0 > list @ list @ X0))).
% 85.92/12.48 thf(func_def_212, type, sK127: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 85.92/12.48 thf(func_def_213, type, sK128: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 85.92/12.48 thf(func_def_214, type, sK129: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 85.92/12.48 thf(func_def_215, type, sK130: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 85.92/12.48 thf(func_def_216, type, sK131: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 85.92/12.48 thf(func_def_217, type, sK132: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 85.92/12.48 thf(func_def_218, type, sK133: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > X0))).
% 85.92/12.48 thf(func_def_219, type, sK134: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 85.92/12.48 thf(func_def_220, type, sK135: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > X0))).
% 85.92/12.48 thf(func_def_221, type, sK136: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 85.92/12.48 thf(func_def_222, type, sK137: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > X0))).
% 85.92/12.48 thf(func_def_223, type, sK138: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 85.92/12.48 thf(func_def_224, type, sK139: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > X0))).
% 85.92/12.48 thf(func_def_225, type, sK140: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 85.92/12.48 thf(func_def_226, type, sK141: !>[X0: $tType]:(($o > list @ X0 > (X0 > X0 > $o) > X0))).
% 85.92/12.48 thf(func_def_227, type, sK142: !>[X0: $tType]:(($o > list @ X0 > (X0 > X0 > $o) > X0))).
% 85.92/12.48 thf(func_def_228, type, sK143: !>[X0: $tType]:(($o > list @ X0 > (X0 > X0 > $o) > list @ X0))).
% 85.92/12.48 thf(func_def_229, type, sK144: !>[X0: $tType]:((list @ X0 > X0))).
% 85.92/12.48 thf(func_def_230, type, sK145: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > X0))).
% 85.92/12.48 thf(func_def_231, type, sK146: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > X0))).
% 85.92/12.48 thf(func_def_232, type, sK147: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > list @ X0))).
% 85.92/12.48 thf(func_def_233, type, sK148: !>[X0: $tType]:((list @ X0 > X0))).
% 85.92/12.48 thf(func_def_234, type, sK149: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > X0))).
% 85.92/12.48 thf(func_def_235, type, sK150: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > X0))).
% 85.92/12.48 thf(func_def_236, type, sK151: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > list @ X0))).
% 85.92/12.48 thf(func_def_237, type, sK152: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 85.92/12.48 thf(func_def_238, type, sK153: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 85.92/12.48 thf(func_def_239, type, sK154: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 85.92/12.48 thf(func_def_240, type, sK155: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 85.92/12.48 thf(func_def_241, type, sK156: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 85.92/12.48 thf(func_def_242, type, sK157: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 85.92/12.48 thf(func_def_243, type, sK158: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 85.92/12.48 thf(func_def_244, type, sK159: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 85.92/12.48 thf(func_def_245, type, sK160: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 85.92/12.48 thf(func_def_246, type, sK161: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 85.92/12.48 thf(func_def_247, type, sK162: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 85.92/12.48 thf(func_def_248, type, sK163: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 85.92/12.48 thf(func_def_249, type, sK164: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 85.92/12.48 thf(func_def_250, type, sK165: !>[X0: $tType]:((list @ X0 > X0))).
% 85.92/12.48 thf(func_def_251, type, sK166: !>[X0: $tType]:((list @ X0 > X0))).
% 85.92/12.48 thf(func_def_252, type, sK167: !>[X0: $tType]:((list @ X0 > list @ list @ X0 > list @ X0 > list @ list @ X0))).
% 85.92/12.48 thf(func_def_253, type, sK168: !>[X0: $tType]:((list @ list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 85.92/12.48 thf(func_def_254, type, sK169: !>[X0: $tType]:((list @ list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 85.92/12.48 thf(func_def_255, type, sK170: !>[X0: $tType]:((list @ list @ X0 > list @ X0 > list @ X0 > list @ list @ X0))).
% 85.92/12.48 thf(func_def_256, type, sK171: !>[X0: $tType]:((X0 > list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 85.92/12.48 thf(func_def_257, type, sK172: !>[X0: $tType]:((list @ X0 > X0 > list @ X0 > list @ X0 > list @ X0))).
% 85.92/12.48 thf(func_def_258, type, sK173: (secrecy_Expression > secrecy_specID > list @ secrecy_Expression > secrecy_Secrets)).
% 85.92/12.48 thf(func_def_259, type, sK174: (secrecy_Expression > secrecy_specID > list @ secrecy_Expression > secrecy_Keys)).
% 85.92/12.48 thf(func_def_260, type, sK175: (secrecy_Expression > secrecy_specID > list @ secrecy_Expression > secrecy_Secrets)).
% 85.92/12.48 thf(func_def_261, type, sK176: (secrecy_Expression > secrecy_specID > list @ secrecy_Expression > secrecy_Keys)).
% 85.92/12.48 thf(func_def_262, type, sK177: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 85.92/12.48 thf(func_def_263, type, sK178: (secrecy_Expression > secrecy_specID > list @ secrecy_Expression > secrecy_Secrets)).
% 85.92/12.48 thf(func_def_264, type, sK179: (secrecy_Expression > secrecy_specID > list @ secrecy_Expression > secrecy_Keys)).
% 85.92/12.48 thf(func_def_265, type, sK180: (secrecy_Expression > secrecy_specID > list @ secrecy_Expression > secrecy_Secrets)).
% 85.92/12.48 thf(func_def_266, type, sK181: (secrecy_Expression > secrecy_specID > list @ secrecy_Expression > secrecy_Keys)).
% 85.92/12.48 thf(func_def_267, type, sK182: (secrecy_Expression > secrecy_specID > secrecy_Secrets)).
% 85.92/12.48 thf(func_def_268, type, sK183: (secrecy_Expression > secrecy_specID > secrecy_Keys)).
% 85.92/12.48 thf(func_def_269, type, sK184: (secrecy_Expression > secrecy_specID > secrecy_Secrets)).
% 85.92/12.48 thf(func_def_270, type, sK185: (secrecy_Expression > secrecy_specID > secrecy_Keys)).
% 85.92/12.48 thf(func_def_271, type, sK186: (secrecy_Expression > secrecy_specID > secrecy_Secrets)).
% 85.92/12.48 thf(func_def_272, type, sK187: (secrecy_Expression > secrecy_specID > secrecy_Keys)).
% 85.92/12.48 thf(func_def_273, type, sK188: (secrecy_Expression > secrecy_specID > secrecy_Secrets)).
% 85.92/12.48 thf(func_def_274, type, sK189: (secrecy_Expression > secrecy_specID > secrecy_Keys)).
% 85.92/12.48 thf(func_def_275, type, sK190: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 85.92/12.48 thf(func_def_276, type, sK191: !>[X0: $tType]:((list @ X0 > X0))).
% 85.92/12.48 thf(f1,axiom,(
% 85.92/12.48 (knowle2055185861_knows @ a @ (cons @ secrecy_Expression @ (secrecy_sE @ m) @ nil @ secrecy_Expression))),
% 85.92/12.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_assms)).
% 85.92/12.48 thf(f4,axiom,(
% 85.92/12.48 ! [X0 : secrecy_specID,X1 : secrecy_Secrets] : (((knowle2055185861_knows @ X0 @ (cons @ secrecy_Expression @ (secrec1016742679ession @ (secrecy_sKS @ X1)) @ nil @ secrecy_Expression))) = ((knowle1437066798e_know @ X0 @ (secrecy_sKS @ X1))))),
% 85.92/12.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_know1s)).
% 85.92/12.48 thf(f10,axiom,(
% 85.92/12.48 ! [X0 : secrecy_Secrets] : (((secrec1016742679ession @ (secrecy_sKS @ X0))) = ((secrecy_sE @ X0)))),
% 85.92/12.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9_KS2Expression_Osimps_I2_J)).
% 85.92/12.48 thf(f260,axiom,(
% 85.92/12.48 ! [X0 : $o] : ((X0 = $false) | (X0 = $true))),
% 85.92/12.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_If_3_1_T)).
% 85.92/12.48 thf(f263,conjecture,(
% 85.92/12.48 (knowle1437066798e_know @ a @ (secrecy_sKS @ m))),
% 85.92/12.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 85.92/12.48 thf(f264,negated_conjecture,(
% 85.92/12.48 ~(knowle1437066798e_know @ a @ (secrecy_sKS @ m))),
% 85.92/12.48 inference(negated_conjecture,[status(cth)],[f263])).
% 85.92/12.48 thf(f265,plain,(
% 85.92/12.48 (knowle2055185861_knows @ a @ (cons @ secrecy_Expression @ (secrecy_sE @ m) @ nil @ secrecy_Expression))),
% 85.92/12.48 inference(rectify,[],[f1])).
% 85.92/12.48 thf(f266,plain,(
% 85.92/12.48 (((knowle2055185861_knows @ a @ (cons @ secrecy_Expression @ (secrecy_sE @ m) @ nil @ secrecy_Expression))) = $true)),
% 85.92/12.48 inference(fool_elimination,[],[f265])).
% 85.92/12.48 thf(f537,plain,(
% 85.92/12.48 ! [X0 : $o] : (($false = X0) | ($true = X0))),
% 85.92/12.48 inference(fool_elimination,[],[f260])).
% 85.92/12.48 thf(f542,plain,(
% 85.92/12.48 ~(knowle1437066798e_know @ a @ (secrecy_sKS @ m))),
% 85.92/12.48 inference(rectify,[],[f264])).
% 85.92/12.48 thf(f543,plain,(
% 85.92/12.48 ~ (((knowle1437066798e_know @ a @ (secrecy_sKS @ m))) = $true)),
% 85.92/12.48 inference(fool_elimination,[],[f542])).
% 85.92/12.48 thf(f562,plain,(
% 85.92/12.48 (((knowle1437066798e_know @ a @ (secrecy_sKS @ m))) != $true)),
% 85.92/12.48 inference(flattening,[],[f543])).
% 85.92/12.48 thf(f813,plain,(
% 85.92/12.48 (((knowle2055185861_knows @ a @ (cons @ secrecy_Expression @ (secrecy_sE @ m) @ nil @ secrecy_Expression))) = $true)),
% 85.92/12.48 inference(cnf_transformation,[],[f266])).
% 85.92/12.48 thf(f816,plain,(
% 85.92/12.48 ( ! [X0 : secrecy_specID,X1 : secrecy_Secrets] : ((((knowle1437066798e_know @ X0 @ (secrecy_sKS @ X1))) = ((knowle2055185861_knows @ X0 @ (cons @ secrecy_Expression @ (secrec1016742679ession @ (secrecy_sKS @ X1)) @ nil @ secrecy_Expression))))) )),
% 85.92/12.48 inference(cnf_transformation,[],[f4])).
% 85.92/12.48 thf(f822,plain,(
% 85.92/12.48 ( ! [X0 : secrecy_Secrets] : ((((secrec1016742679ession @ (secrecy_sKS @ X0))) = ((secrecy_sE @ X0)))) )),
% 85.92/12.48 inference(cnf_transformation,[],[f10])).
% 85.92/12.48 thf(f1176,plain,(
% 85.92/12.48 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 85.92/12.48 inference(cnf_transformation,[],[f537])).
% 85.92/12.48 thf(f1179,plain,(
% 85.92/12.48 (((knowle1437066798e_know @ a @ (secrecy_sKS @ m))) != $true)),
% 85.92/12.48 inference(cnf_transformation,[],[f562])).
% 85.92/12.48 thf(f2203,plain,(
% 85.92/12.48 ( ! [X0 : secrecy_specID,X1 : secrecy_Secrets] : ((((knowle1437066798e_know @ X0 @ (secrecy_sKS @ X1))) = $true) | (((knowle2055185861_knows @ X0 @ (cons @ secrecy_Expression @ (secrec1016742679ession @ (secrecy_sKS @ X1)) @ nil @ secrecy_Expression))) = $false)) )),
% 85.92/12.48 inference(iff_proxy_clausification,[],[f816])).
% 85.92/12.48 thf(f2213,plain,(
% 85.92/12.48 ($true != $true) | (((knowle1437066798e_know @ a @ (secrecy_sKS @ m))) = $false)),
% 85.92/12.48 inference(constrained_superposition,[],[f1179,f1176])).
% 85.92/12.48 thf(f2215,plain,(
% 85.92/12.48 (((knowle1437066798e_know @ a @ (secrecy_sKS @ m))) = $false)),
% 85.92/12.48 inference(trivial_inequality_removal,[],[f2213])).
% 85.92/12.48 thf(f95361,plain,(
% 85.92/12.48 ( ! [X0 : secrecy_specID,X1 : secrecy_Secrets] : ((((knowle2055185861_knows @ X0 @ (cons @ secrecy_Expression @ (secrecy_sE @ X1) @ nil @ secrecy_Expression))) = $false) | (((knowle1437066798e_know @ X0 @ (secrecy_sKS @ X1))) = $true)) )),
% 85.92/12.48 inference(forward_demodulation,[],[f2203,f822])).
% 85.92/12.48 thf(f95421,plain,(
% 85.92/12.48 ($true = $false) | (((knowle1437066798e_know @ a @ (secrecy_sKS @ m))) = $true)),
% 85.92/12.48 inference(constrained_superposition,[],[f813,f95361])).
% 85.92/12.48 thf(f95484,plain,(
% 85.92/12.48 (((knowle1437066798e_know @ a @ (secrecy_sKS @ m))) = $true)),
% 85.92/12.48 inference(trivial_inequality_removal,[],[f95421])).
% 85.92/12.48 thf(f95541,plain,(
% 85.92/12.48 ($true = $false)),
% 85.92/12.48 inference(forward_demodulation,[],[f95484,f2215])).
% 85.92/12.48 thf(f95542,plain,(
% 85.92/12.48 $false),
% 85.92/12.48 inference(trivial_inequality_removal,[],[f95541])).
% 85.92/12.48 % SZS output end Proof for theBenchmark
% 85.92/12.48 % (3321070)------------------------------
% 85.92/12.48 % (3321070)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 85.92/12.48 % (3321070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.92/12.48 % (3321070)CaDiCaL version: 2.1.3
% 85.92/12.48 % (3321070)Termination reason: Refutation
% 85.92/12.48 % (3321070)Time elapsed: 12.143 s
% 85.92/12.48 % (3321070)Peak memory usage: 98 MB
% 85.92/12.48 % (3321070)Instructions burned: 26189 (million)
% 85.92/12.48 % (3321064)Success in time 12.221 s
% 85.92/12.48 % Vampire exiting
%------------------------------------------------------------------------------