%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP084^2 : 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 : n019.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 87.06s 14.81s
% Output : Refutation 87.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP084^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 % Computer : n019.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Tue Sep 29 19:50:18 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.36/1.26 % (1263272)Will run a generic schedule for satisfiability detection.
% 6.36/1.26 % (1263278)% WARNING: option uhcvi not known.
% 6.36/1.26 % (1263283)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=947477381:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 6.36/1.26 % (1263277)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1083776390_2999 on theBenchmark for (2999ds/0Mi)
% 6.36/1.26 % (1263278)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2343994375:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 6.36/1.26 % (1263281)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1532798245:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 6.36/1.26 % (1263280)dis+10_1_sil=32000:sp=arity:random_seed=3726331321:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 6.36/1.26 % (1263282)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2604414478:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 6.36/1.26 % (1263279)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1164879773:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 6.36/1.26 % (1263278)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 6.36/1.26 % (1263281)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 6.36/1.26 % (1263283)Instruction limit reached!
% 6.36/1.26 % (1263283)------------------------------
% 6.36/1.26 % (1263283)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.36/1.26 % (1263283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.26 % (1263283)CaDiCaL version: 2.1.3
% 6.36/1.26 % (1263283)Termination reason: Instruction limit
% 6.36/1.26 % (1263283)Termination phase: Saturation
% 6.36/1.26 % (1263283)Time elapsed: 0.042 s
% 6.36/1.26 % (1263283)Peak memory usage: 14 MB
% 6.36/1.26 % (1263283)Instructions burned: 162 (million)
% 6.36/1.26 % Exception at run slice level
% 6.36/1.26 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 6.36/1.26 % (1263278)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 6.36/1.26 % (1263291)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3365276471:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 6.36/1.26 % (1263281)Instruction limit reached!
% 6.36/1.26 % (1263281)------------------------------
% 6.36/1.26 % (1263281)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.36/1.26 % (1263281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.26 % (1263281)CaDiCaL version: 2.1.3
% 6.36/1.26 % (1263281)Termination reason: Instruction limit
% 6.36/1.26 % (1263281)Termination phase: Saturation
% 6.36/1.26 % (1263281)Time elapsed: 0.051 s
% 6.36/1.26 % (1263281)Peak memory usage: 12 MB
% 6.36/1.26 % (1263281)Instructions burned: 116 (million)
% 6.36/1.26 % (1263280)Instruction limit reached!
% 6.36/1.26 % (1263280)------------------------------
% 6.36/1.26 % (1263280)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.36/1.26 % (1263280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.26 % (1263280)CaDiCaL version: 2.1.3
% 6.36/1.26 % (1263280)Termination reason: Instruction limit
% 6.36/1.26 % (1263280)Termination phase: Saturation
% 6.36/1.26 % (1263280)Time elapsed: 0.047 s
% 6.36/1.26 % (1263280)Peak memory usage: 11 MB
% 6.36/1.26 % (1263280)Instructions burned: 104 (million)
% 6.36/1.26 % (1263292)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4203465645:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 6.36/1.26 % (1263294)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=831132837:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 6.36/1.26 % Exception at run slice level
% 6.36/1.26 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs% (1263295)ott-21_1_sil=16000:fs=off:random_seed=202135623:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 6.36/1.26
% 6.36/1.26 % (1263299)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3968692392:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 6.36/1.26 % (1263294)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 19.54/3.14 % (1263282)Instruction limit reached!
% 19.54/3.14 % (1263282)------------------------------
% 19.54/3.14 % (1263282)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.54/3.14 % (1263282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.54/3.14 % (1263282)CaDiCaL version: 2.1.3
% 19.54/3.14 % (1263282)Termination reason: Instruction limit
% 19.54/3.14 % (1263282)Termination phase: Saturation
% 19.54/3.14 % (1263282)Time elapsed: 0.082 s
% 19.54/3.14 % (1263282)Peak memory usage: 12 MB
% 19.54/3.14 % (1263282)Instructions burned: 131 (million)
% 19.54/3.14 % (1263301)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=572349310:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 19.54/3.14 % (1263294)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 19.54/3.14 % (1263292)Instruction limit reached!
% 19.54/3.14 % (1263292)------------------------------
% 19.54/3.14 % (1263292)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.54/3.14 % (1263292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.54/3.14 % (1263292)CaDiCaL version: 2.1.3
% 19.54/3.14 % (1263292)Termination reason: Instruction limit
% 19.54/3.14 % (1263292)Termination phase: Saturation
% 19.54/3.14 % (1263292)Time elapsed: 0.060 s
% 19.54/3.14 % (1263292)Peak memory usage: 13 MB
% 19.54/3.14 % (1263292)Instructions burned: 133 (million)
% 19.54/3.14 % (1263303)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2450524101:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 19.54/3.14 % Exception at run slice level
% 19.54/3.14 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 19.54/3.14 % (1263295)Instruction limit reached!
% 19.54/3.14 % (1263295)------------------------------
% 19.54/3.14 % (1263295)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.54/3.14 % (1263295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.54/3.14 % (1263295)CaDiCaL version: 2.1.3
% 19.54/3.14 % (1263295)Termination reason: Instruction limit
% 19.54/3.14 % (1263295)Termination phase: Saturation
% 19.54/3.14 % (1263295)Time elapsed: 0.099 s
% 19.54/3.14 % (1263295)Peak memory usage: 13 MB
% 19.54/3.14 % (1263295)Instructions burned: 180 (million)
% 19.54/3.14 % (1263305)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1890875449:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 19.54/3.14 % (1263306)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=2239019557: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)
% 19.54/3.14 % (1263299)Instruction limit reached!
% 19.54/3.14 % (1263299)------------------------------
% 19.54/3.14 % (1263299)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.54/3.14 % (1263299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.54/3.14 % (1263299)CaDiCaL version: 2.1.3
% 19.54/3.14 % (1263299)Termination reason: Instruction limit
% 19.54/3.14 % (1263299)Termination phase: Saturation
% 19.54/3.14 % (1263299)Time elapsed: 0.125 s
% 19.54/3.14 % (1263299)Peak memory usage: 14 MB
% 19.54/3.14 % (1263299)Instructions burned: 481 (million)
% 19.54/3.14 % (1263306)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 19.54/3.14 % (1263309)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1399876841:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 19.54/3.14 % (1263309)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 19.54/3.14 % Exception at run slice level
% 19.54/3.14 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 19.54/3.14 % (1263311)fmb+10_1_sil=64000:random_seed=2469062809:i=22061:nm=2:gsp=on_2996 on theBenchmark for (2996ds/22061Mi)
% 19.54/3.14 % (1263311)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 19.54/3.14 % Exception at run slice level
% 19.54/3.14 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 19.54/3.14 % (1263294)Instruction limit reached!
% 19.54/3.14 % (1263294)------------------------------
% 19.54/3.14 % (1263294)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.54/3.14 % (1263294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.59/7.42 % (1263294)CaDiCaL version: 2.1.3
% 46.59/7.42 % (1263294)Termination reason: Instruction limit
% 46.59/7.42 % (1263294)Termination phase: Saturation
% 46.59/7.42 % (1263294)Time elapsed: 0.240 s
% 46.59/7.42 % (1263294)Peak memory usage: 15 MB
% 46.59/7.42 % (1263294)Instructions burned: 685 (million)
% 46.59/7.42 % (1263313)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2880765866:i=9515:nm=5_2996 on theBenchmark for (2996ds/9515Mi)
% 46.59/7.42 % (1263314)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3816784401:fmbsr=1.7:i=920_2996 on theBenchmark for (2996ds/920Mi)
% 46.59/7.42 % Exception at run slice level
% 46.59/7.42 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 46.59/7.42 % Exception at run slice level
% 46.59/7.42 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 46.59/7.42 % (1263317)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3700588451:i=5131_2995 on theBenchmark for (2995ds/5131Mi)
% 46.59/7.42 % (1263318)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1276603345:i=1472:ins=7:fdi=8:gsp=on_2995 on theBenchmark for (2995ds/1472Mi)
% 46.59/7.42 % (1263317)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 46.59/7.42 % (1263318)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 46.59/7.42 % (1263318)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 46.59/7.42 % (1263306)Instruction limit reached!
% 46.59/7.42 % (1263306)------------------------------
% 46.59/7.42 % (1263306)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.59/7.42 % (1263306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.59/7.42 % (1263306)CaDiCaL version: 2.1.3
% 46.59/7.42 % (1263306)Termination reason: Instruction limit
% 46.59/7.42 % (1263306)Termination phase: Saturation
% 46.59/7.42 % (1263306)Time elapsed: 0.392 s
% 46.59/7.42 % (1263306)Peak memory usage: 16 MB
% 46.59/7.42 % (1263306)Instructions burned: 693 (million)
% 46.59/7.42 % (1263323)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3040014664:i=6324_2993 on theBenchmark for (2993ds/6324Mi)
% 46.59/7.42 % Exception at run slice level
% 46.59/7.42 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 46.59/7.42 % (1263325)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1626880205:fmbsr=2.30978:i=2174_2992 on theBenchmark for (2992ds/2174Mi)
% 46.59/7.42 % (1263303)Instruction limit reached!
% 46.59/7.42 % (1263303)------------------------------
% 46.59/7.42 % (1263303)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.59/7.42 % (1263303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.59/7.42 % (1263303)CaDiCaL version: 2.1.3
% 46.59/7.42 % (1263303)Termination reason: Instruction limit
% 46.59/7.42 % (1263303)Termination phase: Saturation
% 46.59/7.42 % (1263303)Time elapsed: 0.577 s
% 46.59/7.42 % (1263303)Peak memory usage: 18 MB
% 46.59/7.42 % (1263303)Instructions burned: 1180 (million)
% 46.59/7.42 % (1263327)ott-2_1_sil=16000:newcnf=on:random_seed=507077090:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2992 on theBenchmark for (2992ds/869Mi)
% 46.59/7.42 % (1263327)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 46.59/7.42 % Exception at run slice level
% 46.59/7.42 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 46.59/7.42 % (1263329)ott+10_1_sil=32000:tgt=ground:random_seed=1491468203:i=5114:av=off_2991 on theBenchmark for (2991ds/5114Mi)
% 46.59/7.42 % (1263309)Instruction limit reached!
% 46.59/7.42 % (1263309)------------------------------
% 46.59/7.42 % (1263309)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.59/7.42 % (1263309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.59/7.42 % (1263309)CaDiCaL version: 2.1.3
% 46.59/7.42 % (1263309)Termination reason: Instruction limit
% 46.59/7.42 % (1263309)Termination phase: Saturation
% 46.59/7.42 % (1263309)Time elapsed: 0.615 s
% 46.59/7.42 % (1263309)Peak memory usage: 19 MB
% 46.59/7.42 % (1263309)Instructions burned: 880 (million)
% 46.59/7.42 % (1263331)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1759141646:i=54282_2990 on theBenchmark for (2990ds/54282Mi)
% 46.59/7.42 % Exception at run slice level
% 101.10/14.78 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 101.10/14.78 % (1263334)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2286963256:i=3512:aac=none_2989 on theBenchmark for (2989ds/3512Mi)
% 101.10/14.78 % (1263327)Instruction limit reached!
% 101.10/14.78 % (1263327)------------------------------
% 101.10/14.78 % (1263327)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 101.10/14.78 % (1263327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 101.10/14.78 % (1263327)CaDiCaL version: 2.1.3
% 101.10/14.78 % (1263327)Termination reason: Instruction limit
% 101.10/14.78 % (1263327)Termination phase: Saturation
% 101.10/14.78 % (1263327)Time elapsed: 0.362 s
% 101.10/14.78 % (1263327)Peak memory usage: 19 MB
% 101.10/14.78 % (1263327)Instructions burned: 871 (million)
% 101.10/14.78 % (1263334)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 101.10/14.78 % (1263336)dis+21_1_sil=32000:sas=cadical:random_seed=1070660662:i=3773:amm=off_2988 on theBenchmark for (2988ds/3773Mi)
% 101.10/14.78 % (1263318)Instruction limit reached!
% 101.10/14.78 % (1263318)------------------------------
% 101.10/14.78 % (1263318)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 101.10/14.78 % (1263318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 101.10/14.78 % (1263318)CaDiCaL version: 2.1.3
% 101.10/14.78 % (1263318)Termination reason: Instruction limit
% 101.10/14.78 % (1263318)Termination phase: Saturation
% 101.10/14.78 % (1263318)Time elapsed: 0.880 s
% 101.10/14.78 % (1263318)Peak memory usage: 17 MB
% 101.10/14.78 % (1263318)Instructions burned: 1474 (million)
% 101.10/14.78 % (1263338)ott+11_1_sil=16000:gs=on:random_seed=1716263360:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2986 on theBenchmark for (2986ds/2251Mi)
% 101.10/14.78 % (1263338)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 101.10/14.78 % (1263334)Instruction limit reached!
% 101.10/14.78 % (1263334)------------------------------
% 101.10/14.78 % (1263334)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 101.10/14.78 % (1263334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 101.10/14.78 % (1263334)CaDiCaL version: 2.1.3
% 101.10/14.78 % (1263334)Termination reason: Instruction limit
% 101.10/14.78 % (1263334)Termination phase: Saturation
% 101.10/14.78 % (1263334)Time elapsed: 0.918 s
% 101.10/14.78 % (1263334)Peak memory usage: 20 MB
% 101.10/14.78 % (1263334)Instructions burned: 3513 (million)
% 101.10/14.78 % (1263340)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=1413776294:fmbsr=1.6:i=67534_2980 on theBenchmark for (2980ds/67534Mi)
% 101.10/14.78 % Exception at run slice level
% 101.10/14.78 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 101.10/14.78 % (1263342)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=1351803410:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2979 on theBenchmark for (2979ds/4591Mi)
% 101.10/14.78 % (1263338)Instruction limit reached!
% 101.10/14.78 % (1263338)------------------------------
% 101.10/14.78 % (1263338)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 101.10/14.78 % (1263338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 101.10/14.78 % (1263338)CaDiCaL version: 2.1.3
% 101.10/14.78 % (1263338)Termination reason: Instruction limit
% 101.10/14.78 % (1263338)Termination phase: Saturation
% 101.10/14.78 % (1263338)Time elapsed: 1.291 s
% 101.10/14.78 % (1263338)Peak memory usage: 22 MB
% 101.10/14.78 % (1263338)Instructions burned: 2253 (million)
% 101.10/14.78 % (1263351)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=357324929:i=29340_2973 on theBenchmark for (2973ds/29340Mi)
% 101.10/14.78 % (1263317)Instruction limit reached!
% 101.10/14.78 % (1263317)------------------------------
% 101.10/14.78 % (1263317)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 101.10/14.78 % (1263317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 101.10/14.78 % (1263317)CaDiCaL version: 2.1.3
% 101.10/14.78 % (1263317)Termination reason: Instruction limit
% 101.10/14.78 % (1263317)Termination phase: Saturation
% 101.10/14.78 % (1263317)Time elapsed: 2.440 s
% 101.10/14.78 % (1263317)Peak memory usage: 21 MB
% 101.10/14.78 % (1263317)Instructions burned: 5132 (million)
% 101.10/14.78 % (1263353)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=1514048121:i=5211_2971 on theBenchmark for (2971ds/5211Mi)
% 87.06/14.81 % (1263336)Instruction limit reached!
% 87.06/14.81 % (1263336)------------------------------
% 87.06/14.81 % (1263336)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 87.06/14.81 % (1263336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 87.06/14.81 % (1263336)CaDiCaL version: 2.1.3
% 87.06/14.81 % (1263336)Termination reason: Instruction limit
% 87.06/14.81 % (1263336)Termination phase: Saturation
% 87.06/14.81 % (1263336)Time elapsed: 1.946 s
% 87.06/14.81 % (1263336)Peak memory usage: 23 MB
% 87.06/14.81 % (1263336)Instructions burned: 3773 (million)
% 87.06/14.81 % (1263355)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=3374800556:i=5497:nm=2_2968 on theBenchmark for (2968ds/5497Mi)
% 87.06/14.81 % Exception at run slice level
% 87.06/14.81 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 87.06/14.81 % (1263357)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=698386787:fmbsr=2:i=46332_2967 on theBenchmark for (2967ds/46332Mi)
% 87.06/14.81 % Exception at run slice level
% 87.06/14.81 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 87.06/14.81 % (1263359)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=2825716462:i=14071_2966 on theBenchmark for (2966ds/14071Mi)
% 87.06/14.81 % Exception at run slice level
% 87.06/14.81 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 87.06/14.81 % (1263361)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2018945073:i=22565:add=on:rawr=on_2966 on theBenchmark for (2966ds/22565Mi)
% 87.06/14.81 % (1263329)Instruction limit reached!
% 87.06/14.81 % (1263329)------------------------------
% 87.06/14.81 % (1263329)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 87.06/14.81 % (1263329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 87.06/14.81 % (1263329)CaDiCaL version: 2.1.3
% 87.06/14.81 % (1263329)Termination reason: Instruction limit
% 87.06/14.81 % (1263329)Termination phase: Saturation
% 87.06/14.81 % (1263329)Time elapsed: 2.651 s
% 87.06/14.81 % (1263329)Peak memory usage: 40 MB
% 87.06/14.81 % (1263329)Instructions burned: 5115 (million)
% 87.06/14.81 % (1263363)ott+4_1_sil=16000:sp=arity:gs=on:random_seed=1544837661:i=8173:av=off_2964 on theBenchmark for (2964ds/8173Mi)
% 87.06/14.81 % (1263342)Instruction limit reached!
% 87.06/14.81 % (1263342)------------------------------
% 87.06/14.81 % (1263342)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 87.06/14.81 % (1263342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 87.06/14.81 % (1263342)CaDiCaL version: 2.1.3
% 87.06/14.81 % (1263342)Termination reason: Instruction limit
% 87.06/14.81 % (1263342)Termination phase: Saturation
% 87.06/14.81 % (1263342)Time elapsed: 3.552 s
% 87.06/14.81 % (1263342)Peak memory usage: 27 MB
% 87.06/14.81 % (1263342)Instructions burned: 4591 (million)
% 87.06/14.81 % (1263365)dis+10_16:1_sil=16000:random_seed=461123994:i=9155:fsr=off_2943 on theBenchmark for (2943ds/9155Mi)
% 87.06/14.81 % (1263353)Instruction limit reached!
% 87.06/14.81 % (1263353)------------------------------
% 87.06/14.81 % (1263353)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 87.06/14.81 % (1263353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 87.06/14.81 % (1263353)CaDiCaL version: 2.1.3
% 87.06/14.81 % (1263353)Termination reason: Instruction limit
% 87.06/14.81 % (1263353)Termination phase: Saturation
% 87.06/14.81 % (1263353)Time elapsed: 3.684 s
% 87.06/14.81 % (1263353)Peak memory usage: 47 MB
% 87.06/14.81 % (1263353)Instructions burned: 5211 (million)
% 87.06/14.81 % (1263368)ott-3_8_sil=64000:random_seed=3782818629:i=20139:bs=on_2934 on theBenchmark for (2934ds/20139Mi)
% 87.06/14.81 % (1263363)Instruction limit reached!
% 87.06/14.81 % (1263363)------------------------------
% 87.06/14.81 % (1263363)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 87.06/14.81 % (1263363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 87.06/14.81 % (1263363)CaDiCaL version: 2.1.3
% 87.06/14.81 % (1263363)Termination reason: Instruction limit
% 87.06/14.81 % (1263363)Termination phase: Saturation
% 87.06/14.81 % (1263363)Time elapsed: 3.604 s
% 87.06/14.81 % (1263363)Peak memory usage: 53 MB
% 87.06/14.81 % (1263363)Instructions burned: 8174 (million)
% 87.06/14.81 % (1263372)fmb+10_1_sil=64000:tgt=ground:sas=cadical:bce=on:fmbss=9:random_seed=703558882:fmbsr=2:i=32576_2928 on theBenchmark for (2928ds/32576Mi)
% 87.06/14.81 % Exception at run slice level
% 87.06/14.81 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 87.06/14.81 % (1263374)ott+10_8:1_sil=16000:sp=arity:gs=on:random_seed=3822855324:i=11404_2927 on theBenchmark for (2927ds/11404Mi)
% 87.06/14.81 % (1263361)Instruction limit reached!
% 87.06/14.81 % (1263361)------------------------------
% 87.06/14.81 % (1263361)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 87.06/14.81 % (1263361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 87.06/14.81 % (1263361)CaDiCaL version: 2.1.3
% 87.06/14.81 % (1263361)Termination reason: Instruction limit
% 87.06/14.81 % (1263361)Termination phase: Saturation
% 87.06/14.81 % (1263361)Time elapsed: 4.424 s
% 87.06/14.81 % (1263361)Peak memory usage: 17 MB
% 87.06/14.81 % (1263361)Instructions burned: 22567 (million)
% 87.06/14.81 % (1263391)ott-11_1_sil=16000:alpa=false:sac=on:random_seed=56733488:i=14134_2921 on theBenchmark for (2921ds/14134Mi)
% 87.06/14.81 % (1263391)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 87.06/14.81 % (1263365)Instruction limit reached!
% 87.06/14.81 % (1263365)------------------------------
% 87.06/14.81 % (1263365)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 87.06/14.81 % (1263365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 87.06/14.81 % (1263365)CaDiCaL version: 2.1.3
% 87.06/14.81 % (1263365)Termination reason: Instruction limit
% 87.06/14.81 % (1263365)Termination phase: Saturation
% 87.06/14.81 % (1263365)Time elapsed: 5.841 s
% 87.06/14.81 % (1263365)Peak memory usage: 51 MB
% 87.06/14.81 % (1263365)Instructions burned: 9155 (million)
% 87.06/14.81 % (1263409)dis+33_16_sil=32000:sac=on:random_seed=1203929915:i=15851:nm=0_2885 on theBenchmark for (2885ds/15851Mi)
% 87.06/14.81 % (1263391)Instruction limit reached!
% 87.06/14.81 % (1263391)------------------------------
% 87.06/14.81 % (1263391)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 87.06/14.81 % (1263391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 87.06/14.81 % (1263391)CaDiCaL version: 2.1.3
% 87.06/14.81 % (1263391)Termination reason: Instruction limit
% 87.06/14.81 % (1263391)Termination phase: Saturation
% 87.06/14.81 % (1263391)Time elapsed: 4.174 s
% 87.06/14.81 % (1263391)Peak memory usage: 90 MB
% 87.06/14.81 % (1263391)Instructions burned: 14135 (million)
% 87.06/14.81 % (1263415)dis+4_1024_sil=32000:avsql=on:sp=occurrence:gs=on:avsqc=1:random_seed=1149407099:avsq=on:i=17627:add=on:amm=off_2879 on theBenchmark for (2879ds/17627Mi)
% 87.06/14.81 % (1263374)Instruction limit reached!
% 87.06/14.81 % (1263374)------------------------------
% 87.06/14.81 % (1263374)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 87.06/14.81 % (1263374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 87.06/14.81 % (1263374)CaDiCaL version: 2.1.3
% 87.06/14.81 % (1263374)Termination reason: Instruction limit
% 87.06/14.81 % (1263374)Termination phase: Saturation
% 87.06/14.81 % (1263374)Time elapsed: 5.556 s
% 87.06/14.81 % (1263374)Peak memory usage: 98 MB
% 87.06/14.81 % (1263374)Instructions burned: 11405 (million)
% 87.06/14.81 % (1263428)ott+10_64_anc=all:sil=128000:sas=cadical:bsr=unit_only:nwc=1:cn=on:random_seed=2800098276:s2a=on:i=53295_2871 on theBenchmark for (2871ds/53295Mi)
% 87.06/14.81 % (1263351)Instruction limit reached!
% 87.06/14.81 % (1263351)------------------------------
% 87.06/14.81 % (1263351)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 87.06/14.81 % (1263351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 87.06/14.81 % (1263351)CaDiCaL version: 2.1.3
% 87.06/14.81 % (1263351)Termination reason: Instruction limit
% 87.06/14.81 % (1263351)Termination phase: Saturation
% 87.06/14.81 % (1263351)Time elapsed: 11.085 s
% 87.06/14.81 % (1263351)Peak memory usage: 17 MB
% 87.06/14.81 % (1263351)Instructions burned: 29341 (million)
% 87.06/14.81 % (1263430)fmb+10_1_sil=32000:sas=cadical:fmbss=16:random_seed=4217311276:i=26857:ins=20_2862 on theBenchmark for (2862ds/26857Mi)
% 87.06/14.81 % Exception at run slice level
% 87.06/14.81 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 87.06/14.81 % (1263432)ott+10_1_sil=64000:plsq=on:plsqc=4:bsr=unit_only:gs=on:random_seed=894580932:i=28120:bs=on:fsr=off_2861 on theBenchmark for (2861ds/28120Mi)
% 87.06/14.81 % (1263278) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1263272-1263278"...
% 87.06/14.81 % (1263278)...printing done.
% 87.06/14.81 % (1263278)Refutation found. Thanks to Tanya!
% 87.06/14.81 % SZS status Theorem for theBenchmark
% 87.06/14.81 % SZS output start Proof for theBenchmark
% 87.06/14.81 thf(type_def_5, type, secrecy_Expression: $tType).
% 87.06/14.81 thf(type_def_6, type, secrecy_Secrets: $tType).
% 87.06/14.81 thf(type_def_7, type, secrecy_specID: $tType).
% 87.06/14.81 thf(type_def_8, type, secrecy_Keys: $tType).
% 87.06/14.81 thf(type_def_9, type, secrecy_KS: $tType).
% 87.06/14.81 thf(type_def_10, type, list: $tType > $tType).
% 87.06/14.81 thf(type_def_11, type, set: $tType > $tType).
% 87.06/14.81 thf(type_def_12, type, sTfun: ($tType * $tType) > $tType).
% 87.06/14.81 thf(func_def_0, type, type: !>[X0: $tType]:($o)).
% 87.06/14.81 thf(func_def_1, type, ord: !>[X0: $tType]:($o)).
% 87.06/14.81 thf(func_def_2, type, order: !>[X0: $tType]:($o)).
% 87.06/14.81 thf(func_def_3, type, linorder: !>[X0: $tType]:($o)).
% 87.06/14.81 thf(func_def_4, type, bNF_Greatest_Shift: !>[X0: $tType]:((set @ list @ X0 > X0 > set @ list @ X0))).
% 87.06/14.81 thf(func_def_5, type, bNF_Greatest_Succ: !>[X0: $tType]:((set @ list @ X0 > list @ X0 > set @ X0))).
% 87.06/14.81 thf(func_def_6, type, bNF_Greatest_shift: !>[X0: $tType, X1: $tType]:(((list @ X0 > X1) > X0 > list @ X0 > X1))).
% 87.06/14.81 thf(func_def_7, type, localSecrets: (secrecy_specID > set @ secrecy_KS)).
% 87.06/14.81 thf(func_def_8, type, monoid: !>[X0: $tType]:(((X0 > X0 > X0) > X0 > $o))).
% 87.06/14.81 thf(func_def_9, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 87.06/14.81 thf(func_def_10, type, knowle1667810483orrect: (secrecy_specID > secrecy_KS > $o)).
% 87.06/14.81 thf(func_def_11, type, knowle1893229345orrect: (secrecy_specID > secrecy_Expression > $o)).
% 87.06/14.81 thf(func_def_12, type, knowle1437066798e_know: (secrecy_specID > secrecy_KS > $o)).
% 87.06/14.81 thf(func_def_13, type, knowle2055185861_knows: (secrecy_specID > list @ secrecy_Expression > $o)).
% 87.06/14.81 thf(func_def_14, type, disjoint: !>[X0: $tType]:((list @ X0 > list @ X0 > $o))).
% 87.06/14.81 thf(func_def_15, type, mem: !>[X0: $tType]:((X0 > list @ X0 > $o))).
% 87.06/14.81 thf(func_def_16, type, memS: !>[X0: $tType]:((X0 > list @ X0 > $o))).
% 87.06/14.81 thf(func_def_17, type, append: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 87.06/14.81 thf(func_def_18, type, arg_min_list: !>[X0: $tType, X1: $tType]:(((X0 > X1) > list @ X0 > X0))).
% 87.06/14.81 thf(func_def_19, type, bind: !>[X0: $tType, X1: $tType]:((list @ X0 > (X0 > list @ X1) > list @ X1))).
% 87.06/14.81 thf(func_def_20, type, butlast: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 87.06/14.81 thf(func_def_21, type, concat: !>[X0: $tType]:((list @ list @ X0 > list @ X0))).
% 87.06/14.81 thf(func_def_22, type, distinct_adj: !>[X0: $tType]:((list @ X0 > $o))).
% 87.06/14.81 thf(func_def_23, type, foldr: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > list @ X0 > X1 > X1))).
% 87.06/14.81 thf(func_def_24, type, insert: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 87.06/14.81 thf(func_def_25, type, last: !>[X0: $tType]:((list @ X0 > X0))).
% 87.06/14.81 thf(func_def_26, type, cons: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 87.06/14.81 thf(func_def_27, type, nil: !>[X0: $tType]:(list @ X0)).
% 87.06/14.81 thf(func_def_28, type, case_list: !>[X0: $tType, X1: $tType]:((X0 > (X1 > list @ X1 > X0) > list @ X1 > X0))).
% 87.06/14.81 thf(func_def_29, type, hd: !>[X0: $tType]:((list @ X0 > X0))).
% 87.06/14.81 thf(func_def_30, type, tl: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 87.06/14.81 thf(func_def_31, type, list_ex1: !>[X0: $tType]:(((X0 > $o) > list @ X0 > $o))).
% 87.06/14.81 thf(func_def_32, type, listrelp: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > list @ X0 > list @ X1 > $o))).
% 87.06/14.81 thf(func_def_33, type, map_tailrec: !>[X0: $tType, X1: $tType]:(((X0 > X1) > list @ X0 > list @ X1))).
% 87.06/14.81 thf(func_def_34, type, map_tailrec_rev: !>[X0: $tType, X1: $tType]:(((X0 > X1) > list @ X0 > list @ X1 > list @ X1))).
% 87.06/14.81 thf(func_def_35, type, maps: !>[X0: $tType, X1: $tType]:(((X0 > list @ X1) > list @ X0 > list @ X1))).
% 87.06/14.81 thf(func_def_36, type, member: !>[X0: $tType]:((list @ X0 > X0 > $o))).
% 87.06/14.81 thf(func_def_37, type, lexordp_eq: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ X0 > $o))).
% 87.06/14.81 thf(func_def_38, type, ord_lexordp: !>[X0: $tType]:((list @ X0 > list @ X0 > $o))).
% 87.06/14.81 thf(func_def_39, type, ord_lexordp_eq: !>[X0: $tType]:((list @ X0 > list @ X0 > $o))).
% 87.06/14.81 thf(func_def_40, type, product_lists: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 87.06/14.81 thf(func_def_41, type, rev: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 87.06/14.81 thf(func_def_42, type, rotate1: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 87.06/14.81 thf(func_def_43, type, shuffles: !>[X0: $tType]:((list @ X0 > list @ X0 > set @ list @ X0))).
% 87.06/14.81 thf(func_def_44, type, splice: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 87.06/14.81 thf(func_def_45, type, subseqs: !>[X0: $tType]:((list @ X0 > list @ list @ X0))).
% 87.06/14.81 thf(func_def_46, type, successively: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > $o))).
% 87.06/14.81 thf(func_def_47, type, ord_less: !>[X0: $tType]:((X0 > X0 > $o))).
% 87.06/14.81 thf(func_def_48, type, decr: (secrecy_Keys > list @ secrecy_Expression > list @ secrecy_Expression)).
% 87.06/14.81 thf(func_def_49, type, enc: (secrecy_Keys > list @ secrecy_Expression > list @ secrecy_Expression)).
% 87.06/14.81 thf(func_def_50, type, encrDecrKeys: (secrecy_Keys > secrecy_Keys > $o)).
% 87.06/14.81 thf(func_def_51, type, ext: (secrecy_Keys > list @ secrecy_Expression > list @ secrecy_Expression)).
% 87.06/14.81 thf(func_def_52, type, sign: (secrecy_Keys > list @ secrecy_Expression > list @ secrecy_Expression)).
% 87.06/14.81 thf(func_def_53, type, eout: (secrecy_specID > secrecy_Expression > $o)).
% 87.06/14.81 thf(func_def_54, type, ine: (secrecy_specID > secrecy_Expression > $o)).
% 87.06/14.81 thf(func_def_55, type, notSpe1586871396tsExpr: (secrecy_specID > list @ secrecy_Expression > $o)).
% 87.06/14.81 thf(func_def_56, type, specKeys: (secrecy_specID > set @ secrecy_Keys)).
% 87.06/14.81 thf(func_def_57, type, specKeysSecrets: (secrecy_specID > set @ secrecy_KS)).
% 87.06/14.81 thf(func_def_58, type, specSecrets: (secrecy_specID > set @ secrecy_Secrets)).
% 87.06/14.81 thf(func_def_59, type, secrec1371625429on2KSL: (list @ secrecy_Expression > list @ secrecy_KS)).
% 87.06/14.81 thf(func_def_60, type, secrecy_kE: (secrecy_Keys > secrecy_Expression)).
% 87.06/14.81 thf(func_def_61, type, secrecy_sE: (secrecy_Secrets > secrecy_Expression)).
% 87.06/14.81 thf(func_def_62, type, secrec1016742679ession: (secrecy_KS > secrecy_Expression)).
% 87.06/14.81 thf(func_def_63, type, secrecy_case_KS: !>[X0: $tType]:(((secrecy_Keys > X0) > (secrecy_Secrets > X0) > secrecy_KS > X0))).
% 87.06/14.81 thf(func_def_64, type, secrecy_kKS: (secrecy_Keys > secrecy_KS)).
% 87.06/14.81 thf(func_def_65, type, secrecy_rec_KS: !>[X0: $tType]:(((secrecy_Keys > X0) > (secrecy_Secrets > X0) > secrecy_KS > X0))).
% 87.06/14.81 thf(func_def_66, type, secrecy_sKS: (secrecy_Secrets > secrecy_KS)).
% 87.06/14.81 thf(func_def_67, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 87.06/14.81 thf(func_def_68, type, member2: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 87.06/14.81 thf(func_def_69, type, a: secrecy_specID).
% 87.06/14.81 thf(func_def_70, type, m: secrecy_Keys).
% 87.06/14.81 thf(func_def_74, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 87.06/14.81 thf(func_def_75, type, vOR: ($o > $o > $o)).
% 87.06/14.81 thf(func_def_76, type, vAND: ($o > $o > $o)).
% 87.06/14.81 thf(func_def_77, type, vNOT: ($o > $o)).
% 87.06/14.81 thf(func_def_78, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 87.06/14.81 thf(func_def_79, type, db0: !>[X0: $tType]:(X0)).
% 87.06/14.81 thf(func_def_80, type, db1: !>[X0: $tType]:(X0)).
% 87.06/14.81 thf(func_def_81, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 87.06/14.81 thf(func_def_82, type, db2: !>[X0: $tType]:(X0)).
% 87.06/14.81 thf(func_def_83, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 87.06/14.81 thf(func_def_84, type, vIMP: ($o > $o > $o)).
% 87.06/14.81 thf(func_def_85, type, db5: !>[X0: $tType]:(X0)).
% 87.06/14.81 thf(func_def_86, type, db3: !>[X0: $tType]:(X0)).
% 87.06/14.81 thf(func_def_87, type, db4: !>[X0: $tType]:(X0)).
% 87.06/14.81 thf(func_def_88, type, db6: !>[X0: $tType]:(X0)).
% 87.06/14.81 thf(func_def_89, type, sP0: !>[X0: $tType]:(((X0 > X0 > $o) > (list @ X0 > list @ X0 > $o) > $o))).
% 87.06/14.81 thf(func_def_90, type, sP1: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > $o))).
% 87.06/14.81 thf(func_def_91, type, sP2: !>[X0: $tType]:((list @ X0 > list @ X0 > $o))).
% 87.06/14.81 thf(func_def_92, type, sP3: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > $o))).
% 87.06/14.81 thf(func_def_93, type, sP4: !>[X0: $tType]:((list @ X0 > list @ X0 > $o))).
% 87.06/14.81 thf(func_def_94, type, sP5: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > $o))).
% 87.06/14.81 thf(func_def_95, type, sP6: !>[X0: $tType]:((list @ X0 > list @ X0 > $o))).
% 87.06/14.81 thf(func_def_96, type, sP7: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > $o))).
% 87.06/14.81 thf(func_def_97, type, sP8: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > $o))).
% 87.06/14.81 thf(func_def_98, type, sK9: !>[X0: $tType]:((list @ X0 > X0))).
% 87.06/14.81 thf(func_def_99, type, sK10: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 87.06/14.81 thf(func_def_100, type, sK11: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 87.06/14.81 thf(func_def_101, type, sK12: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 87.06/14.81 thf(func_def_102, type, sK13: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X0))).
% 87.06/14.81 thf(func_def_103, type, sK14: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X0))).
% 87.06/14.81 thf(func_def_104, type, sK15: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X1))).
% 87.06/14.81 thf(func_def_105, type, sK16: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X1))).
% 87.06/14.81 thf(func_def_106, type, sK17: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X1))).
% 87.06/14.81 thf(func_def_107, type, sK18: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X1))).
% 87.06/14.81 thf(func_def_108, type, sK19: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X0))).
% 87.06/14.81 thf(func_def_109, type, sK20: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X0))).
% 87.06/14.81 thf(func_def_110, type, sK21: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 87.06/14.81 thf(func_def_111, type, sK22: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 87.06/14.81 thf(func_def_112, type, sK23: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 87.06/14.81 thf(func_def_113, type, sK24: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 87.06/14.81 thf(func_def_114, type, sK25: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 87.06/14.81 thf(func_def_115, type, sK26: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 87.06/14.81 thf(func_def_116, type, sK27: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 87.06/14.81 thf(func_def_117, type, sK28: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 87.06/14.81 thf(func_def_118, type, sK29: !>[X0: $tType]:((list @ X0 > X0))).
% 87.06/14.81 thf(func_def_119, type, sK30: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 87.06/14.81 thf(func_def_120, type, sK31: ((secrecy_KS > $o) > secrecy_Secrets)).
% 87.06/14.81 thf(func_def_121, type, sK32: ((secrecy_KS > $o) > secrecy_Keys)).
% 87.06/14.81 thf(func_def_122, type, sK33: (secrecy_KS > secrecy_Secrets)).
% 87.06/14.81 thf(func_def_123, type, sK34: (secrecy_KS > secrecy_Keys)).
% 87.06/14.81 thf(func_def_124, type, sK35: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 87.06/14.81 thf(func_def_125, type, sK36: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 87.06/14.81 thf(func_def_126, type, sK37: !>[X0: $tType]:((list @ X0 > X0))).
% 87.06/14.81 thf(func_def_127, type, sK38: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 87.06/14.81 thf(func_def_128, type, sK39: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > X0 > X1))).
% 87.06/14.81 thf(func_def_129, type, sK40: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > X0))).
% 87.06/14.81 thf(func_def_130, type, sK41: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > list @ X0))).
% 87.06/14.81 thf(func_def_131, type, sK42: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > list @ X1))).
% 87.06/14.81 thf(func_def_132, type, sK43: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > X0 > X1))).
% 87.06/14.81 thf(func_def_133, type, sK44: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > list @ X1))).
% 87.06/14.81 thf(func_def_134, type, sK45: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 87.06/14.81 thf(func_def_135, type, sK46: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 87.06/14.81 thf(func_def_136, type, sK47: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 87.06/14.81 thf(func_def_137, type, sK48: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 87.06/14.81 thf(func_def_138, type, sK49: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 87.06/14.81 thf(func_def_139, type, sK50: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 87.06/14.81 thf(func_def_140, type, sK51: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > list @ X0))).
% 87.06/14.81 thf(func_def_141, type, sK52: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 87.06/14.81 thf(func_def_142, type, sK53: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 87.06/14.81 thf(func_def_143, type, sK54: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 87.06/14.81 thf(func_def_144, type, sK55: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1 > X0))).
% 87.06/14.81 thf(func_def_145, type, sK56: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1 > X0))).
% 87.06/14.81 thf(func_def_146, type, sK57: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1))).
% 87.06/14.81 thf(func_def_147, type, sK58: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1))).
% 87.06/14.81 thf(func_def_148, type, sK59: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > list @ X1))).
% 87.06/14.81 thf(func_def_149, type, sK60: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1 > X0))).
% 87.06/14.81 thf(func_def_150, type, sK61: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1))).
% 87.06/14.81 thf(func_def_151, type, sK62: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 87.06/14.81 thf(func_def_152, type, sK63: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 87.06/14.81 thf(func_def_153, type, sK64: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 87.06/14.81 thf(func_def_154, type, sK65: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 87.06/14.81 thf(func_def_155, type, sK66: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 87.06/14.81 thf(func_def_156, type, sK67: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 87.06/14.81 thf(func_def_157, type, sK68: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > list @ X0))).
% 87.06/14.81 thf(func_def_158, type, sK69: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 87.06/14.81 thf(func_def_159, type, sK70: !>[X0: $tType]:((list @ X0 > X0))).
% 87.06/14.81 thf(func_def_160, type, sK71: !>[X0: $tType]:((list @ X0 > X0))).
% 87.06/14.81 thf(func_def_161, type, sK72: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 87.06/14.81 thf(func_def_162, type, sK73: !>[X0: $tType]:((list @ X0 > X0))).
% 87.06/14.81 thf(func_def_163, type, sK74: !>[X0: $tType]:((list @ list @ X0 > X0))).
% 87.06/14.81 thf(func_def_164, type, sK75: !>[X0: $tType]:((list @ list @ X0 > list @ X0))).
% 87.06/14.81 thf(func_def_165, type, sK76: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 87.06/14.81 thf(func_def_166, type, sK77: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 87.06/14.81 thf(func_def_167, type, sK78: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 87.06/14.81 thf(func_def_168, type, sK79: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 87.06/14.81 thf(func_def_169, type, sK80: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 87.06/14.81 thf(func_def_170, type, sK81: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 87.06/14.81 thf(func_def_171, type, sK82: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 87.06/14.81 thf(func_def_172, type, sK83: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 87.06/14.81 thf(func_def_173, type, sK84: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 87.06/14.81 thf(func_def_174, type, sK85: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 87.06/14.81 thf(func_def_175, type, sK86: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 87.06/14.81 thf(func_def_176, type, sK87: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 87.06/14.81 thf(func_def_177, type, sK88: (secrecy_Expression > secrecy_specID > secrecy_Secrets)).
% 87.06/14.81 thf(func_def_178, type, sK89: (secrecy_Expression > secrecy_specID > secrecy_Keys)).
% 87.06/14.81 thf(func_def_179, type, sK90: !>[X0: $tType, X1: $tType]:((list @ X1 > list @ X1 > list @ X0 > (X0 > X1) > X0))).
% 87.06/14.81 thf(func_def_180, type, sK91: !>[X0: $tType, X1: $tType]:((list @ X1 > list @ X1 > list @ X0 > (X0 > X1) > list @ X0))).
% 87.06/14.81 thf(func_def_181, type, sK92: !>[X0: $tType]:(((X0 > X0 > $o) > (list @ X0 > list @ X0 > $o) > X0))).
% 87.06/14.81 thf(func_def_182, type, sK93: !>[X0: $tType]:(((X0 > X0 > $o) > (list @ X0 > list @ X0 > $o) > X0))).
% 87.06/14.81 thf(func_def_183, type, sK94: !>[X0: $tType]:(((X0 > X0 > $o) > (list @ X0 > list @ X0 > $o) > list @ X0))).
% 87.06/14.81 thf(func_def_184, type, sK95: !>[X0: $tType]:(((X0 > X0 > $o) > (list @ X0 > list @ X0 > $o) > list @ X0))).
% 87.06/14.81 thf(func_def_185, type, sK96: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > X0))).
% 87.06/14.81 thf(func_def_186, type, sK97: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > X0))).
% 87.06/14.81 thf(func_def_187, type, sK98: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > list @ X0))).
% 87.06/14.81 thf(func_def_188, type, sK99: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > list @ X0))).
% 87.06/14.81 thf(func_def_189, type, sK100: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 87.06/14.81 thf(func_def_190, type, sK101: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > X0))).
% 87.06/14.81 thf(func_def_191, type, sK102: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > X0))).
% 87.06/14.81 thf(func_def_192, type, sK103: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > list @ X0))).
% 87.06/14.81 thf(func_def_193, type, sK104: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > list @ X0))).
% 87.06/14.81 thf(func_def_194, type, sK105: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > X0))).
% 87.06/14.81 thf(func_def_195, type, sK106: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > X0))).
% 87.06/14.81 thf(func_def_196, type, sK107: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > list @ X0))).
% 87.06/14.81 thf(func_def_197, type, sK108: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > list @ X0))).
% 87.06/14.81 thf(func_def_198, type, sK109: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > (X0 > X1 > $o) > X0))).
% 87.06/14.81 thf(func_def_199, type, sK110: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > (X0 > X1 > $o) > X1))).
% 87.06/14.81 thf(func_def_200, type, sK111: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > (X0 > X1 > $o) > list @ X0))).
% 87.06/14.81 thf(func_def_201, type, sK112: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > (X0 > X1 > $o) > list @ X1))).
% 87.06/14.81 thf(func_def_202, type, sK113: !>[X0: $tType, X1: $tType]:((list @ X1 > list @ X0 > (X0 > X1 > $o) > X0))).
% 87.06/14.81 thf(func_def_203, type, sK114: !>[X0: $tType, X1: $tType]:((list @ X1 > list @ X0 > (X0 > X1 > $o) > X1))).
% 87.06/14.81 thf(func_def_204, type, sK115: !>[X0: $tType, X1: $tType]:((list @ X1 > list @ X0 > (X0 > X1 > $o) > list @ X0))).
% 87.06/14.81 thf(func_def_205, type, sK116: !>[X0: $tType, X1: $tType]:((list @ X1 > list @ X0 > (X0 > X1 > $o) > list @ X1))).
% 87.06/14.81 thf(func_def_206, type, sK117: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 87.06/14.81 thf(func_def_207, type, sK118: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 87.06/14.81 thf(func_def_208, type, sK119: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 87.06/14.81 thf(func_def_209, type, sK120: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 87.06/14.81 thf(func_def_210, type, sK121: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 87.06/14.81 thf(func_def_211, type, sK122: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 87.06/14.81 thf(func_def_212, type, sK123: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 87.06/14.81 thf(func_def_213, type, sK124: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 87.06/14.81 thf(func_def_214, type, sK125: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 87.06/14.81 thf(func_def_215, type, sK126: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 87.06/14.81 thf(func_def_216, type, sK127: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 87.06/14.81 thf(func_def_217, type, sK128: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 87.06/14.81 thf(func_def_218, type, sK129: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 87.06/14.81 thf(func_def_219, type, sK130: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 87.06/14.81 thf(func_def_220, type, sK131: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 87.06/14.81 thf(func_def_221, type, sK132: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 87.06/14.81 thf(func_def_222, type, sK133: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 87.06/14.81 thf(func_def_223, type, sK134: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 87.06/14.81 thf(func_def_224, type, sK135: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 87.06/14.81 thf(func_def_225, type, sK136: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 87.06/14.81 thf(func_def_226, type, sK137: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 87.06/14.81 thf(func_def_227, type, sK138: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 87.06/14.81 thf(func_def_228, type, sK139: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 87.06/14.81 thf(func_def_229, type, sK140: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 87.06/14.81 thf(func_def_230, type, sK141: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 87.06/14.81 thf(func_def_231, type, sK142: !>[X0: $tType]:((list @ X0 > X0))).
% 87.06/14.81 thf(func_def_232, type, sK143: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 87.06/14.81 thf(func_def_233, type, sK144: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 87.06/14.81 thf(func_def_234, type, sK145: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 87.06/14.81 thf(func_def_235, type, sK146: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 87.06/14.81 thf(func_def_236, type, sK147: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 87.06/14.81 thf(func_def_237, type, sK148: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 87.06/14.81 thf(func_def_238, type, sK149: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 87.06/14.81 thf(func_def_239, type, sK150: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 87.06/14.81 thf(func_def_240, type, sK151: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 87.06/14.81 thf(func_def_241, type, sK152: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 87.06/14.81 thf(func_def_242, type, sK153: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 87.06/14.81 thf(func_def_243, type, sK154: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 87.06/14.81 thf(func_def_244, type, sK155: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 87.06/14.81 thf(func_def_245, type, sK156: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 87.06/14.81 thf(func_def_246, type, sK157: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 87.06/14.81 thf(func_def_247, type, sK158: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 87.06/14.81 thf(func_def_248, type, sK159: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 87.06/14.81 thf(func_def_249, type, sK160: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 87.06/14.81 thf(func_def_250, type, sK161: !>[X0: $tType]:((list @ X0 > X0))).
% 87.06/14.81 thf(func_def_251, type, sK162: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 87.06/14.81 thf(func_def_252, type, sK163: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 87.06/14.81 thf(func_def_253, type, sK164: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 87.06/14.81 thf(func_def_254, type, sK165: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 87.06/14.81 thf(func_def_255, type, sK166: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 87.06/14.81 thf(func_def_256, type, sK167: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 87.06/14.81 thf(func_def_257, type, sK168: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 87.06/14.81 thf(func_def_258, type, sK169: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 87.06/14.81 thf(func_def_259, type, sK170: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 87.06/14.81 thf(func_def_260, type, sK171: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 87.06/14.81 thf(func_def_261, type, sK172: !>[X0: $tType]:(X0)).
% 87.06/14.81 thf(func_def_262, type, sK173: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > X0))).
% 87.06/14.81 thf(func_def_263, type, sK174: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 87.06/14.81 thf(func_def_264, type, sK175: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 87.06/14.81 thf(func_def_265, type, sK176: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 87.06/14.81 thf(func_def_266, type, sK177: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 87.06/14.81 thf(func_def_267, type, sK178: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 87.06/14.81 thf(func_def_268, type, sK179: !>[X0: $tType]:((list @ X0 > X0))).
% 87.06/14.81 thf(func_def_269, type, sK180: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 87.06/14.81 thf(func_def_270, type, sK181: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 87.06/14.81 thf(func_def_271, type, sK182: !>[X0: $tType]:(X0)).
% 87.06/14.81 thf(func_def_272, type, sK183: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ list @ X0 > list @ list @ X0))).
% 87.06/14.81 thf(func_def_273, type, sK184: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ list @ X0 > list @ X0))).
% 87.06/14.81 thf(func_def_274, type, sK185: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ list @ X0 > list @ X0))).
% 87.06/14.81 thf(func_def_275, type, sK186: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ list @ X0 > list @ list @ X0))).
% 87.06/14.81 thf(func_def_276, type, sK187: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 87.06/14.81 thf(func_def_277, type, sK188: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 87.06/14.81 thf(func_def_278, type, sK189: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 87.06/14.81 thf(func_def_279, type, sK190: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 87.06/14.81 thf(func_def_280, type, sK191: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 87.06/14.81 thf(func_def_281, type, sK192: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 87.06/14.81 thf(func_def_282, type, sK193: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > X0))).
% 87.06/14.81 thf(func_def_283, type, sK194: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 87.06/14.81 thf(func_def_284, type, sK195: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > X0))).
% 87.06/14.81 thf(func_def_285, type, sK196: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 87.06/14.81 thf(func_def_286, type, sK197: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > X0))).
% 87.06/14.81 thf(func_def_287, type, sK198: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 87.06/14.81 thf(func_def_288, type, sK199: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > X0))).
% 87.06/14.81 thf(func_def_289, type, sK200: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 87.06/14.81 thf(func_def_290, type, sK201: !>[X0: $tType]:((list @ X0 > X0))).
% 87.06/14.81 thf(func_def_291, type, sK202: !>[X0: $tType]:((list @ X0 > X0))).
% 87.06/14.81 thf(func_def_292, type, sK203: !>[X0: $tType]:((list @ X0 > list @ list @ X0 > list @ X0 > list @ list @ X0))).
% 87.06/14.81 thf(func_def_293, type, sK204: !>[X0: $tType]:((list @ list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 87.06/14.81 thf(func_def_294, type, sK205: !>[X0: $tType]:((list @ list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 87.06/14.81 thf(func_def_295, type, sK206: !>[X0: $tType]:((list @ list @ X0 > list @ X0 > list @ X0 > list @ list @ X0))).
% 87.06/14.81 thf(func_def_296, type, sK207: !>[X0: $tType]:((X0 > list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 87.06/14.81 thf(func_def_297, type, sK208: !>[X0: $tType]:((list @ X0 > X0 > list @ X0 > list @ X0 > list @ X0))).
% 87.06/14.81 thf(func_def_298, type, sK209: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 87.06/14.81 thf(func_def_299, type, sK210: (secrecy_Expression > secrecy_specID > list @ secrecy_Expression > secrecy_Secrets)).
% 87.06/14.81 thf(func_def_300, type, sK211: (secrecy_Expression > secrecy_specID > list @ secrecy_Expression > secrecy_Keys)).
% 87.06/14.81 thf(func_def_301, type, sK212: (secrecy_Expression > secrecy_specID > list @ secrecy_Expression > secrecy_Secrets)).
% 87.06/14.81 thf(func_def_302, type, sK213: (secrecy_Expression > secrecy_specID > list @ secrecy_Expression > secrecy_Keys)).
% 87.06/14.81 thf(func_def_303, type, sK214: (secrecy_Expression > secrecy_specID > list @ secrecy_Expression > secrecy_Secrets)).
% 87.06/14.81 thf(func_def_304, type, sK215: (secrecy_Expression > secrecy_specID > list @ secrecy_Expression > secrecy_Keys)).
% 87.06/14.81 thf(func_def_305, type, sK216: (secrecy_Expression > secrecy_specID > list @ secrecy_Expression > secrecy_Secrets)).
% 87.06/14.81 thf(func_def_306, type, sK217: (secrecy_Expression > secrecy_specID > list @ secrecy_Expression > secrecy_Keys)).
% 87.06/14.81 thf(func_def_307, type, sK218: (secrecy_Expression > secrecy_specID > secrecy_Secrets)).
% 87.06/14.81 thf(func_def_308, type, sK219: (secrecy_Expression > secrecy_specID > secrecy_Keys)).
% 87.06/14.81 thf(func_def_309, type, sK220: (secrecy_Expression > secrecy_specID > secrecy_Secrets)).
% 87.06/14.81 thf(func_def_310, type, sK221: (secrecy_Expression > secrecy_specID > secrecy_Keys)).
% 87.06/14.81 thf(func_def_311, type, sK222: (secrecy_Expression > secrecy_specID > secrecy_Secrets)).
% 87.06/14.81 thf(func_def_312, type, sK223: (secrecy_Expression > secrecy_specID > secrecy_Keys)).
% 87.06/14.81 thf(func_def_313, type, sK224: (secrecy_Expression > secrecy_specID > secrecy_Secrets)).
% 87.06/14.81 thf(func_def_314, type, sK225: (secrecy_Expression > secrecy_specID > secrecy_Keys)).
% 87.06/14.81 thf(func_def_315, type, sK226: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 87.06/14.81 thf(func_def_316, type, sK227: !>[X0: $tType]:((list @ X0 > X0))).
% 87.06/14.81 thf(f1,axiom,(
% 87.06/14.81 (knowle2055185861_knows @ a @ (cons @ secrecy_Expression @ (secrecy_kE @ m) @ nil @ secrecy_Expression))),
% 87.06/14.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_assms)).
% 87.06/14.81 thf(f8,axiom,(
% 87.06/14.81 ! [X0 : secrecy_specID,X1 : secrecy_Keys] : (((knowle2055185861_knows @ X0 @ (cons @ secrecy_Expression @ (secrec1016742679ession @ (secrecy_kKS @ X1)) @ nil @ secrecy_Expression))) = ((knowle1437066798e_know @ X0 @ (secrecy_kKS @ X1))))),
% 87.06/14.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7_know1k)).
% 87.06/14.81 thf(f16,axiom,(
% 87.06/14.81 ! [X0 : secrecy_Keys] : (((secrec1016742679ession @ (secrecy_kKS @ X0))) = ((secrecy_kE @ X0)))),
% 87.06/14.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_15_KS2Expression_Osimps_I1_J)).
% 87.06/14.81 thf(f263,axiom,(
% 87.06/14.81 ! [X0 : $o] : ((X0 = $false) | (X0 = $true))),
% 87.06/14.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_If_3_1_T)).
% 87.06/14.81 thf(f266,conjecture,(
% 87.06/14.81 (knowle1437066798e_know @ a @ (secrecy_kKS @ m))),
% 87.06/14.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 87.06/14.81 thf(f267,negated_conjecture,(
% 87.06/14.81 ~(knowle1437066798e_know @ a @ (secrecy_kKS @ m))),
% 87.06/14.81 inference(negated_conjecture,[status(cth)],[f266])).
% 87.06/14.81 thf(f268,plain,(
% 87.06/14.81 (knowle2055185861_knows @ a @ (cons @ secrecy_Expression @ (secrecy_kE @ m) @ nil @ secrecy_Expression))),
% 87.06/14.81 inference(rectify,[],[f1])).
% 87.06/14.81 thf(f269,plain,(
% 87.06/14.81 (((knowle2055185861_knows @ a @ (cons @ secrecy_Expression @ (secrecy_kE @ m) @ nil @ secrecy_Expression))) = $true)),
% 87.06/14.81 inference(fool_elimination,[],[f268])).
% 87.06/14.81 thf(f569,plain,(
% 87.06/14.81 ! [X0 : $o] : (($false = X0) | ($true = X0))),
% 87.06/14.81 inference(fool_elimination,[],[f263])).
% 87.06/14.81 thf(f574,plain,(
% 87.06/14.81 ~(knowle1437066798e_know @ a @ (secrecy_kKS @ m))),
% 87.06/14.81 inference(rectify,[],[f267])).
% 87.06/14.81 thf(f575,plain,(
% 87.06/14.81 ~ (((knowle1437066798e_know @ a @ (secrecy_kKS @ m))) = $true)),
% 87.06/14.81 inference(fool_elimination,[],[f574])).
% 87.06/14.81 thf(f602,plain,(
% 87.06/14.81 (((knowle1437066798e_know @ a @ (secrecy_kKS @ m))) != $true)),
% 87.06/14.81 inference(flattening,[],[f575])).
% 87.06/14.81 thf(f895,plain,(
% 87.06/14.81 (((knowle2055185861_knows @ a @ (cons @ secrecy_Expression @ (secrecy_kE @ m) @ nil @ secrecy_Expression))) = $true)),
% 87.06/14.81 inference(cnf_transformation,[],[f269])).
% 87.06/14.81 thf(f902,plain,(
% 87.06/14.81 ( ! [X0 : secrecy_specID,X1 : secrecy_Keys] : ((((knowle1437066798e_know @ X0 @ (secrecy_kKS @ X1))) = ((knowle2055185861_knows @ X0 @ (cons @ secrecy_Expression @ (secrec1016742679ession @ (secrecy_kKS @ X1)) @ nil @ secrecy_Expression))))) )),
% 87.06/14.81 inference(cnf_transformation,[],[f8])).
% 87.06/14.81 thf(f910,plain,(
% 87.06/14.81 ( ! [X0 : secrecy_Keys] : ((((secrecy_kE @ X0)) = ((secrec1016742679ession @ (secrecy_kKS @ X0))))) )),
% 87.06/14.81 inference(cnf_transformation,[],[f16])).
% 87.06/14.81 thf(f1276,plain,(
% 87.06/14.81 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 87.06/14.81 inference(cnf_transformation,[],[f569])).
% 87.06/14.81 thf(f1279,plain,(
% 87.06/14.81 (((knowle1437066798e_know @ a @ (secrecy_kKS @ m))) != $true)),
% 87.06/14.81 inference(cnf_transformation,[],[f602])).
% 87.06/14.81 thf(f2190,plain,(
% 87.06/14.81 ( ! [X0 : secrecy_specID,X1 : secrecy_Keys] : ((((knowle1437066798e_know @ X0 @ (secrecy_kKS @ X1))) = $true) | (((knowle2055185861_knows @ X0 @ (cons @ secrecy_Expression @ (secrec1016742679ession @ (secrecy_kKS @ X1)) @ nil @ secrecy_Expression))) = $false)) )),
% 87.06/14.81 inference(iff_proxy_clausification,[],[f902])).
% 87.06/14.81 thf(f2200,plain,(
% 87.06/14.81 ($true != $true) | (((knowle1437066798e_know @ a @ (secrecy_kKS @ m))) = $false)),
% 87.06/14.81 inference(constrained_superposition,[],[f1279,f1276])).
% 87.06/14.81 thf(f2202,plain,(
% 87.06/14.81 (((knowle1437066798e_know @ a @ (secrecy_kKS @ m))) = $false)),
% 87.06/14.81 inference(trivial_inequality_removal,[],[f2200])).
% 87.06/14.81 thf(f107833,plain,(
% 87.06/14.81 ( ! [X0 : secrecy_specID,X1 : secrecy_Keys] : ((((knowle2055185861_knows @ X0 @ (cons @ secrecy_Expression @ (secrecy_kE @ X1) @ nil @ secrecy_Expression))) = $false) | (((knowle1437066798e_know @ X0 @ (secrecy_kKS @ X1))) = $true)) )),
% 87.06/14.81 inference(forward_demodulation,[],[f2190,f910])).
% 87.06/14.81 thf(f107925,plain,(
% 87.06/14.81 ($true = $false) | (((knowle1437066798e_know @ a @ (secrecy_kKS @ m))) = $true)),
% 87.06/14.81 inference(constrained_superposition,[],[f895,f107833])).
% 87.06/14.81 thf(f107946,plain,(
% 87.06/14.81 (((knowle1437066798e_know @ a @ (secrecy_kKS @ m))) = $true)),
% 87.06/14.81 inference(trivial_inequality_removal,[],[f107925])).
% 87.06/14.81 thf(f108025,plain,(
% 87.06/14.81 ($true = $false)),
% 87.06/14.81 inference(forward_demodulation,[],[f107946,f2202])).
% 87.06/14.81 thf(f108026,plain,(
% 87.06/14.81 $false),
% 87.06/14.81 inference(trivial_inequality_removal,[],[f108025])).
% 87.06/14.81 % SZS output end Proof for theBenchmark
% 87.06/14.81 % (1263278)------------------------------
% 87.06/14.81 % (1263278)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 87.06/14.81 % (1263278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 87.06/14.81 % (1263278)CaDiCaL version: 2.1.3
% 87.06/14.81 % (1263278)Termination reason: Refutation
% 87.06/14.81 % (1263278)Time elapsed: 14.500 s
% 87.06/14.81 % (1263278)Peak memory usage: 109 MB
% 87.06/14.81 % (1263278)Instructions burned: 29659 (million)
% 87.06/14.81 % (1263272)Success in time 14.572 s
% 87.06/14.81 % Vampire exiting
%------------------------------------------------------------------------------