%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP085^1 : 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 : n015.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 13.97s 2.28s
% Output : Refutation 13.97s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP085^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.17 % Computer : n015.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 19:53:33 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.00/0.98 % (4027150)Will run a generic schedule for satisfiability detection.
% 4.00/0.98 % (4027158)dis+10_1_sil=32000:sp=arity:random_seed=3379336661:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.00/0.98 % (4027156)% WARNING: option uhcvi not known.
% 4.00/0.98 % (4027155)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1837003468_2999 on theBenchmark for (2999ds/0Mi)
% 4.00/0.98 % (4027156)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4132209956:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.00/0.98 % (4027157)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1184171684:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.00/0.98 % (4027159)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1505208296:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.00/0.98 % (4027160)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1007730817:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.00/0.98 % (4027161)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=615402833:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.00/0.98 % (4027158)Instruction limit reached!
% 4.00/0.98 % (4027158)------------------------------
% 4.00/0.98 % (4027158)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.00/0.98 % (4027158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.00/0.98 % (4027158)CaDiCaL version: 2.1.3
% 4.00/0.98 % (4027158)Termination reason: Instruction limit
% 4.00/0.98 % (4027158)Termination phase: Property scanning
% 4.00/0.98 % (4027158)Time elapsed: 0.025 s
% 4.00/0.98 % (4027158)Peak memory usage: 12 MB
% 4.00/0.98 % (4027158)Instructions burned: 107 (million)
% 4.00/0.98 % (4027156)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.00/0.98 % (4027159)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.00/0.98 % (4027169)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2841106066:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 4.00/0.98 % (4027159)Instruction limit reached!
% 4.00/0.98 % (4027159)------------------------------
% 4.00/0.98 % (4027159)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.00/0.98 % (4027159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.00/0.98 % (4027159)CaDiCaL version: 2.1.3
% 4.00/0.98 % (4027159)Termination reason: Instruction limit
% 4.00/0.98 % (4027159)Termination phase: Property scanning
% 4.00/0.98 % (4027159)Time elapsed: 0.049 s
% 4.00/0.98 % (4027159)Peak memory usage: 11 MB
% 4.00/0.98 % (4027159)Instructions burned: 117 (million)
% 4.00/0.98 % Exception at run slice level
% 4.00/0.98 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.00/0.98 % (4027156)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 4.00/0.98 % (4027160)Instruction limit reached!
% 4.00/0.98 % (4027160)------------------------------
% 4.00/0.98 % (4027160)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.00/0.98 % (4027160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.00/0.98 % (4027160)CaDiCaL version: 2.1.3
% 4.00/0.98 % (4027160)Termination reason: Instruction limit
% 4.00/0.98 % (4027160)Termination phase: Saturation
% 4.00/0.98 % (4027160)Time elapsed: 0.055 s
% 4.00/0.98 % (4027160)Peak memory usage: 13 MB
% 4.00/0.98 % (4027160)Instructions burned: 131 (million)
% 4.00/0.98 % Exception at run slice level
% 4.00/0.98 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.00/0.98 % (4027161)Instruction limit reached!
% 4.00/0.98 % (4027161)------------------------------
% 4.00/0.98 % (4027161)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.00/0.98 % (4027161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.00/0.98 % (4027161)CaDiCaL version: 2.1.3
% 4.00/0.98 % (4027161)Termination reason: Instruction limit
% 4.00/0.98 % (4027161)Termination phase: Saturation
% 4.00/0.98 % (4027161)Time elapsed: 0.068 s
% 4.00/0.98 % (4027161)Peak memory usage: 14 MB
% 4.00/0.98 % (4027161)Instructions burned: 160 (million)
% 4.00/0.98 % (4027171)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1029097168:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 4.00/0.98 % (4027174)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2118186517:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 13.97/2.28 % (4027172)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=1978677149:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 13.97/2.28 % (4027173)ott-21_1_sil=16000:fs=off:random_seed=2580319839:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 13.97/2.28 % (4027176)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3043462282:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 13.97/2.28 % (4027172)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 13.97/2.28 % (4027171)Instruction limit reached!
% 13.97/2.28 % (4027171)------------------------------
% 13.97/2.28 % (4027171)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.97/2.28 % (4027171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.97/2.28 % (4027171)CaDiCaL version: 2.1.3
% 13.97/2.28 % (4027171)Termination reason: Instruction limit
% 13.97/2.28 % (4027171)Termination phase: Saturation
% 13.97/2.28 % (4027171)Time elapsed: 0.056 s
% 13.97/2.28 % (4027171)Peak memory usage: 13 MB
% 13.97/2.28 % (4027171)Instructions burned: 133 (million)
% 13.97/2.28 % (4027172)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 13.97/2.28 % Exception at run slice level
% 13.97/2.28 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 13.97/2.28 % (4027181)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2407402311:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 13.97/2.28 % (4027173)Instruction limit reached!
% 13.97/2.28 % (4027173)------------------------------
% 13.97/2.28 % (4027173)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.97/2.28 % (4027173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.97/2.28 % (4027173)CaDiCaL version: 2.1.3
% 13.97/2.28 % (4027173)Termination reason: Instruction limit
% 13.97/2.28 % (4027173)Termination phase: Saturation
% 13.97/2.28 % (4027173)Time elapsed: 0.077 s
% 13.97/2.28 % (4027173)Peak memory usage: 13 MB
% 13.97/2.28 % (4027173)Instructions burned: 180 (million)
% 13.97/2.28 % (4027182)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3330552214:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 13.97/2.28 % (4027184)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=1442182555: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)
% 13.97/2.28 % (4027184)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 13.97/2.28 % (4027174)Instruction limit reached!
% 13.97/2.28 % (4027174)------------------------------
% 13.97/2.28 % (4027174)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.97/2.28 % (4027174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.97/2.28 % (4027174)CaDiCaL version: 2.1.3
% 13.97/2.28 % (4027174)Termination reason: Instruction limit
% 13.97/2.28 % (4027174)Termination phase: Saturation
% 13.97/2.28 % (4027174)Time elapsed: 0.135 s
% 13.97/2.28 % (4027174)Peak memory usage: 15 MB
% 13.97/2.28 % (4027174)Instructions burned: 478 (million)
% 13.97/2.28 % (4027187)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=749088394:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 13.97/2.28 % Exception at run slice level
% 13.97/2.28 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 13.97/2.28 % (4027187)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 13.97/2.28 % (4027189)fmb+10_1_sil=64000:random_seed=2613298518:i=22061:nm=2:gsp=on_2997 on theBenchmark for (2997ds/22061Mi)
% 13.97/2.28 % (4027189)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 13.97/2.28 % Exception at run slice level
% 13.97/2.28 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 13.97/2.28 % (4027172)Instruction limit reached!
% 13.97/2.28 % (4027172)------------------------------
% 13.97/2.28 % (4027172)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.97/2.28 % (4027172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.97/2.28 % (4027172)CaDiCaL version: 2.1.3
% 13.97/2.28 % (4027172)Termination reason: Instruction limit
% 13.97/2.28 % (4027172)Termination phase: Saturation
% 13.97/2.28 % (4027172)Time elapsed: 0.235 s
% 13.97/2.28 % (4027172)Peak memory usage: 15 MB
% 13.97/2.28 % (4027172)Instructions burned: 687 (million)
% 13.97/2.28 % (4027191)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2720956418:i=9515:nm=5_2996 on theBenchmark for (2996ds/9515Mi)
% 13.97/2.28 % (4027192)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1741196590:fmbsr=1.7:i=920_2996 on theBenchmark for (2996ds/920Mi)
% 13.97/2.28 % Exception at run slice level
% 13.97/2.28 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 13.97/2.28 % Exception at run slice level
% 13.97/2.28 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 13.97/2.28 % (4027195)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3781312745:i=5131_2995 on theBenchmark for (2995ds/5131Mi)
% 13.97/2.28 % (4027196)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3319552897:i=1472:ins=7:fdi=8:gsp=on_2995 on theBenchmark for (2995ds/1472Mi)
% 13.97/2.28 % (4027195)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 13.97/2.28 % (4027184)Instruction limit reached!
% 13.97/2.28 % (4027184)------------------------------
% 13.97/2.28 % (4027184)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.97/2.28 % (4027184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.97/2.28 % (4027184)CaDiCaL version: 2.1.3
% 13.97/2.28 % (4027184)Termination reason: Instruction limit
% 13.97/2.28 % (4027184)Termination phase: Saturation
% 13.97/2.28 % (4027184)Time elapsed: 0.267 s
% 13.97/2.28 % (4027184)Peak memory usage: 18 MB
% 13.97/2.28 % (4027184)Instructions burned: 694 (million)
% 13.97/2.28 % (4027196)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 13.97/2.28 % (4027187)Instruction limit reached!
% 13.97/2.28 % (4027187)------------------------------
% 13.97/2.28 % (4027187)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.97/2.28 % (4027187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.97/2.28 % (4027187)CaDiCaL version: 2.1.3
% 13.97/2.28 % (4027187)Termination reason: Instruction limit
% 13.97/2.28 % (4027187)Termination phase: Saturation
% 13.97/2.28 % (4027187)Time elapsed: 0.228 s
% 13.97/2.28 % (4027187)Peak memory usage: 20 MB
% 13.97/2.28 % (4027187)Instructions burned: 882 (million)
% 13.97/2.28 % (4027196)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 13.97/2.28 % (4027199)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1092187595:i=6324_2995 on theBenchmark for (2995ds/6324Mi)
% 13.97/2.28 % (4027200)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3680599667:fmbsr=2.30978:i=2174_2995 on theBenchmark for (2995ds/2174Mi)
% 13.97/2.28 % Exception at run slice level
% 13.97/2.28 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 13.97/2.28 % (4027203)ott-2_1_sil=16000:newcnf=on:random_seed=906671423:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2994 on theBenchmark for (2994ds/869Mi)
% 13.97/2.28 % Exception at run slice level
% 13.97/2.28 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 13.97/2.28 % (4027203)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 13.97/2.28 % (4027206)ott+10_1_sil=32000:tgt=ground:random_seed=2006502706:i=5114:av=off_2994 on theBenchmark for (2994ds/5114Mi)
% 13.97/2.28 % (4027203)Instruction limit reached!
% 13.97/2.28 % (4027203)------------------------------
% 13.97/2.28 % (4027203)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.97/2.28 % (4027203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.97/2.28 % (4027203)CaDiCaL version: 2.1.3
% 13.97/2.28 % (4027203)Termination reason: Instruction limit
% 13.97/2.28 % (4027203)Termination phase: Saturation
% 13.97/2.28 % (4027203)Time elapsed: 0.189 s
% 13.97/2.28 % (4027203)Peak memory usage: 17 MB
% 13.97/2.28 % (4027203)Instructions burned: 873 (million)
% 13.97/2.28 % (4027181)Instruction limit reached!
% 13.97/2.28 % (4027181)------------------------------
% 13.97/2.28 % (4027181)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.97/2.28 % (4027181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.97/2.28 % (4027181)CaDiCaL version: 2.1.3
% 13.97/2.28 % (4027181)Termination reason: Instruction limit
% 13.97/2.28 % (4027181)Termination phase: Saturation
% 13.97/2.28 % (4027181)Time elapsed: 0.569 s
% 13.97/2.28 % (4027181)Peak memory usage: 22 MB
% 13.97/2.28 % (4027181)Instructions burned: 1180 (million)
% 13.97/2.28 % (4027250)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3476210291:i=54282_2992 on theBenchmark for (2992ds/54282Mi)
% 13.97/2.28 % (4027253)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=3160109308:i=3512:aac=none_2992 on theBenchmark for (2992ds/3512Mi)
% 13.97/2.28 % (4027253)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 13.97/2.28 % Exception at run slice level
% 13.97/2.28 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 13.97/2.28 % (4027269)dis+21_1_sil=32000:sas=cadical:random_seed=1990992118:i=3773:amm=off_2991 on theBenchmark for (2991ds/3773Mi)
% 13.97/2.28 % (4027196)Instruction limit reached!
% 13.97/2.28 % (4027196)------------------------------
% 13.97/2.28 % (4027196)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.97/2.28 % (4027196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.97/2.28 % (4027196)CaDiCaL version: 2.1.3
% 13.97/2.28 % (4027196)Termination reason: Instruction limit
% 13.97/2.28 % (4027196)Termination phase: Saturation
% 13.97/2.28 % (4027196)Time elapsed: 0.655 s
% 13.97/2.28 % (4027196)Peak memory usage: 19 MB
% 13.97/2.28 % (4027196)Instructions burned: 1474 (million)
% 13.97/2.28 % (4027326)ott+11_1_sil=16000:gs=on:random_seed=845619823:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2988 on theBenchmark for (2988ds/2251Mi)
% 13.97/2.28 % (4027326)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 13.97/2.28 % (4027253)Instruction limit reached!
% 13.97/2.28 % (4027253)------------------------------
% 13.97/2.28 % (4027253)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.97/2.28 % (4027253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.97/2.28 % (4027253)CaDiCaL version: 2.1.3
% 13.97/2.28 % (4027253)Termination reason: Instruction limit
% 13.97/2.28 % (4027253)Termination phase: Saturation
% 13.97/2.28 % (4027253)Time elapsed: 0.695 s
% 13.97/2.28 % (4027253)Peak memory usage: 26 MB
% 13.97/2.28 % (4027253)Instructions burned: 3519 (million)
% 13.97/2.28 % (4027338)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=1377549700:fmbsr=1.6:i=67534_2985 on theBenchmark for (2985ds/67534Mi)
% 13.97/2.28 % Exception at run slice level
% 13.97/2.28 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 13.97/2.28 % (4027340)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=1180527352:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2984 on theBenchmark for (2984ds/4591Mi)
% 13.97/2.28 % (4027326) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4027150-4027326"...
% 13.97/2.28 % (4027326)...printing done.
% 13.97/2.28 % (4027326)Refutation found. Thanks to Tanya!
% 13.97/2.28 % SZS status Theorem for theBenchmark
% 13.97/2.28 % SZS output start Proof for theBenchmark
% 13.97/2.28 thf(type_def_5, type, list_l425507653ession: $tType).
% 13.97/2.28 thf(type_def_6, type, set_li185139947ession: $tType).
% 13.97/2.28 thf(type_def_7, type, set_li2007071804ecrets: $tType).
% 13.97/2.28 thf(type_def_8, type, set_li849033543y_Keys: $tType).
% 13.97/2.28 thf(type_def_9, type, list_list_Secrecy_KS: $tType).
% 13.97/2.28 thf(type_def_10, type, set_list_Secrecy_KS: $tType).
% 13.97/2.28 thf(type_def_11, type, list_S529945141ession: $tType).
% 13.97/2.28 thf(type_def_12, type, set_Se1942955227ession: $tType).
% 13.97/2.28 thf(type_def_13, type, list_Secrecy_Secrets: $tType).
% 13.97/2.28 thf(type_def_14, type, set_Secrecy_Secrets: $tType).
% 13.97/2.28 thf(type_def_15, type, list_Secrecy_Keys: $tType).
% 13.97/2.28 thf(type_def_16, type, set_Secrecy_Keys: $tType).
% 13.97/2.28 thf(type_def_17, type, list_Secrecy_KS: $tType).
% 13.97/2.28 thf(type_def_18, type, set_Secrecy_KS: $tType).
% 13.97/2.28 thf(type_def_19, type, secrecy_Expression: $tType).
% 13.97/2.28 thf(type_def_20, type, secrecy_Secrets: $tType).
% 13.97/2.28 thf(type_def_21, type, secrecy_specID: $tType).
% 13.97/2.28 thf(type_def_22, type, secrecy_Keys: $tType).
% 13.97/2.28 thf(type_def_23, type, secrecy_KS: $tType).
% 13.97/2.28 thf(type_def_24, type, sTfun: ($tType * $tType) > $tType).
% 13.97/2.28 thf(func_def_0, type, bNF_Gr275623750ession: (set_li185139947ession > secrecy_Expression > set_li185139947ession)).
% 13.97/2.28 thf(func_def_1, type, bNF_Gr660123862ecy_KS: (set_list_Secrecy_KS > secrecy_KS > set_list_Secrecy_KS)).
% 13.97/2.28 thf(func_def_2, type, bNF_Gr414702370y_Keys: (set_li849033543y_Keys > secrecy_Keys > set_li849033543y_Keys)).
% 13.97/2.28 thf(func_def_3, type, bNF_Gr28627573ecrets: (set_li2007071804ecrets > secrecy_Secrets > set_li2007071804ecrets)).
% 13.97/2.28 thf(func_def_4, type, bNF_Gr979629770ession: (set_li185139947ession > list_S529945141ession > set_Se1942955227ession)).
% 13.97/2.28 thf(func_def_5, type, bNF_Gr577175642ecy_KS: (set_list_Secrecy_KS > list_Secrecy_KS > set_Secrecy_KS)).
% 13.97/2.28 thf(func_def_6, type, bNF_Gr344893606y_Keys: (set_li849033543y_Keys > list_Secrecy_Keys > set_Secrecy_Keys)).
% 13.97/2.28 thf(func_def_7, type, bNF_Gr957048817ecrets: (set_li2007071804ecrets > list_Secrecy_Secrets > set_Secrecy_Secrets)).
% 13.97/2.28 thf(func_def_8, type, localSecrets: (secrecy_specID > set_Secrecy_KS)).
% 13.97/2.28 thf(func_def_9, type, knowle233900195orrect: (secrecy_specID > secrecy_KS > $o)).
% 13.97/2.28 thf(func_def_10, type, knowle1268625169orrect: (secrecy_specID > secrecy_Expression > $o)).
% 13.97/2.28 thf(func_def_11, type, knowle945212990e_know: (secrecy_specID > secrecy_KS > $o)).
% 13.97/2.28 thf(func_def_12, type, knowle731562421_knows: (secrecy_specID > list_S529945141ession > $o)).
% 13.97/2.28 thf(func_def_13, type, mem_Se1967555118ession: (secrecy_Expression > list_S529945141ession > $o)).
% 13.97/2.28 thf(func_def_14, type, mem_Secrecy_KS: (secrecy_KS > list_Secrecy_KS > $o)).
% 13.97/2.28 thf(func_def_15, type, append1105297242ession: (list_l425507653ession > list_l425507653ession > list_l425507653ession)).
% 13.97/2.28 thf(func_def_16, type, append1376766698ecy_KS: (list_list_Secrecy_KS > list_list_Secrecy_KS > list_list_Secrecy_KS)).
% 13.97/2.28 thf(func_def_17, type, append2089414218ession: (list_S529945141ession > list_S529945141ession > list_S529945141ession)).
% 13.97/2.28 thf(func_def_18, type, append_Secrecy_KS: (list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS)).
% 13.97/2.28 thf(func_def_19, type, append_Secrecy_Keys: (list_Secrecy_Keys > list_Secrecy_Keys > list_Secrecy_Keys)).
% 13.97/2.28 thf(func_def_20, type, append186372209ecrets: (list_Secrecy_Secrets > list_Secrecy_Secrets > list_Secrecy_Secrets)).
% 13.97/2.28 thf(func_def_21, type, bind_S815874003ession: (list_S529945141ession > (secrecy_Expression > list_S529945141ession) > list_S529945141ession)).
% 13.97/2.28 thf(func_def_22, type, bind_S1823644515ecy_KS: (list_S529945141ession > (secrecy_Expression > list_Secrecy_KS) > list_Secrecy_KS)).
% 13.97/2.28 thf(func_def_23, type, bind_S711229283ession: (list_Secrecy_KS > (secrecy_KS > list_S529945141ession) > list_S529945141ession)).
% 13.97/2.28 thf(func_def_24, type, bind_S645462771ecy_KS: (list_Secrecy_KS > (secrecy_KS > list_Secrecy_KS) > list_Secrecy_KS)).
% 13.97/2.28 thf(func_def_25, type, butlas171474643ession: (list_S529945141ession > list_S529945141ession)).
% 13.97/2.28 thf(func_def_26, type, butlast_Secrecy_KS: (list_Secrecy_KS > list_Secrecy_KS)).
% 13.97/2.28 thf(func_def_27, type, concat388015140ession: (list_l425507653ession > list_S529945141ession)).
% 13.97/2.28 thf(func_def_28, type, concat_Secrecy_KS: (list_list_Secrecy_KS > list_Secrecy_KS)).
% 13.97/2.28 thf(func_def_29, type, distin1076152135ession: (list_S529945141ession > $o)).
% 13.97/2.28 thf(func_def_30, type, distin1495927511ecy_KS: (list_Secrecy_KS > $o)).
% 13.97/2.28 thf(func_def_31, type, foldr_1531709715ession: ((list_S529945141ession > list_S529945141ession > list_S529945141ession) > list_l425507653ession > list_S529945141ession > list_S529945141ession)).
% 13.97/2.28 thf(func_def_32, type, foldr_1711005747ecy_KS: ((list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS) > list_list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS)).
% 13.97/2.28 thf(func_def_33, type, insert1173886601ession: (secrecy_Expression > list_S529945141ession > list_S529945141ession)).
% 13.97/2.28 thf(func_def_34, type, insert_Secrecy_KS: (secrecy_KS > list_Secrecy_KS > list_Secrecy_KS)).
% 13.97/2.28 thf(func_def_35, type, last_S1532390982ession: (list_S529945141ession > secrecy_Expression)).
% 13.97/2.28 thf(func_def_36, type, last_Secrecy_KS: (list_Secrecy_KS > secrecy_KS)).
% 13.97/2.28 thf(func_def_37, type, cons_l533358079ession: (list_S529945141ession > list_l425507653ession > list_l425507653ession)).
% 13.97/2.28 thf(func_def_38, type, cons_list_Secrecy_KS: (list_Secrecy_KS > list_list_Secrecy_KS > list_list_Secrecy_KS)).
% 13.97/2.28 thf(func_def_39, type, cons_S112077679ession: (secrecy_Expression > list_S529945141ession > list_S529945141ession)).
% 13.97/2.28 thf(func_def_40, type, cons_Secrecy_KS: (secrecy_KS > list_Secrecy_KS > list_Secrecy_KS)).
% 13.97/2.28 thf(func_def_41, type, cons_Secrecy_Keys: (secrecy_Keys > list_Secrecy_Keys > list_Secrecy_Keys)).
% 13.97/2.28 thf(func_def_42, type, cons_Secrecy_Secrets: (secrecy_Secrets > list_Secrecy_Secrets > list_Secrecy_Secrets)).
% 13.97/2.28 thf(func_def_43, type, nil_li311616943ession: list_l425507653ession).
% 13.97/2.28 thf(func_def_44, type, nil_list_Secrecy_KS: list_list_Secrecy_KS).
% 13.97/2.28 thf(func_def_45, type, nil_Se901661471ession: list_S529945141ession).
% 13.97/2.28 thf(func_def_46, type, nil_Secrecy_KS: list_Secrecy_KS).
% 13.97/2.28 thf(func_def_47, type, nil_Secrecy_Keys: list_Secrecy_Keys).
% 13.97/2.28 thf(func_def_48, type, nil_Secrecy_Secrets: list_Secrecy_Secrets).
% 13.97/2.28 thf(func_def_49, type, hd_lis1623417098ession: (list_l425507653ession > list_S529945141ession)).
% 13.97/2.28 thf(func_def_50, type, hd_list_Secrecy_KS: (list_list_Secrecy_KS > list_Secrecy_KS)).
% 13.97/2.28 thf(func_def_51, type, hd_Sec357328890ession: (list_S529945141ession > secrecy_Expression)).
% 13.97/2.28 thf(func_def_52, type, hd_Secrecy_KS: (list_Secrecy_KS > secrecy_KS)).
% 13.97/2.28 thf(func_def_53, type, tl_Sec1905266422ession: (list_S529945141ession > list_S529945141ession)).
% 13.97/2.28 thf(func_def_54, type, tl_Secrecy_KS: (list_Secrecy_KS > list_Secrecy_KS)).
% 13.97/2.28 thf(func_def_55, type, list_e1486860828ession: ((secrecy_Expression > $o) > list_S529945141ession > $o)).
% 13.97/2.28 thf(func_def_56, type, list_ex1_Secrecy_KS: ((secrecy_KS > $o) > list_Secrecy_KS > $o)).
% 13.97/2.28 thf(func_def_57, type, listre84909707ession: ((secrecy_Expression > secrecy_Expression > $o) > list_S529945141ession > list_S529945141ession > $o)).
% 13.97/2.28 thf(func_def_58, type, listre565996059ecy_KS: ((secrecy_Expression > secrecy_KS > $o) > list_S529945141ession > list_Secrecy_KS > $o)).
% 13.97/2.28 thf(func_def_59, type, listre1601064475ession: ((secrecy_KS > secrecy_Expression > $o) > list_Secrecy_KS > list_S529945141ession > $o)).
% 13.97/2.28 thf(func_def_60, type, listre788412843ecy_KS: ((secrecy_KS > secrecy_KS > $o) > list_Secrecy_KS > list_Secrecy_KS > $o)).
% 13.97/2.28 thf(func_def_61, type, map_ta1624757057ession: ((secrecy_Expression > secrecy_Expression) > list_S529945141ession > list_S529945141ession > list_S529945141ession)).
% 13.97/2.28 thf(func_def_62, type, map_ta623472337ession: ((secrecy_KS > secrecy_Expression) > list_Secrecy_KS > list_S529945141ession > list_S529945141ession)).
% 13.97/2.28 thf(func_def_63, type, maps_S599402637ession: ((secrecy_Expression > list_S529945141ession) > list_S529945141ession > list_S529945141ession)).
% 13.97/2.28 thf(func_def_64, type, maps_S399472669ecy_KS: ((secrecy_Expression > list_Secrecy_KS) > list_S529945141ession > list_Secrecy_KS)).
% 13.97/2.28 thf(func_def_65, type, maps_S1434541085ession: ((secrecy_KS > list_S529945141ession) > list_Secrecy_KS > list_S529945141ession)).
% 13.97/2.28 thf(func_def_66, type, maps_S377605037ecy_KS: ((secrecy_KS > list_Secrecy_KS) > list_Secrecy_KS > list_Secrecy_KS)).
% 13.97/2.28 thf(func_def_67, type, member2020590922ession: (list_S529945141ession > secrecy_Expression > $o)).
% 13.97/2.28 thf(func_def_68, type, member_Secrecy_KS: (list_Secrecy_KS > secrecy_KS > $o)).
% 13.97/2.28 thf(func_def_69, type, lexord1123423577ession: ((secrecy_Expression > secrecy_Expression > $o) > list_S529945141ession > list_S529945141ession > $o)).
% 13.97/2.28 thf(func_def_70, type, lexord948960489ecy_KS: ((secrecy_KS > secrecy_KS > $o) > list_Secrecy_KS > list_Secrecy_KS > $o)).
% 13.97/2.28 thf(func_def_71, type, produc1450295286ession: (list_l425507653ession > list_l425507653ession)).
% 13.97/2.28 thf(func_def_72, type, produc713695622ecy_KS: (list_list_Secrecy_KS > list_list_Secrecy_KS)).
% 13.97/2.28 thf(func_def_73, type, remdup484344169ession: (list_S529945141ession > list_S529945141ession)).
% 13.97/2.28 thf(func_def_74, type, remdup351570169ecy_KS: (list_Secrecy_KS > list_Secrecy_KS)).
% 13.97/2.28 thf(func_def_75, type, rev_Se1073238207ession: (list_S529945141ession > list_S529945141ession)).
% 13.97/2.28 thf(func_def_76, type, rev_Secrecy_KS: (list_Secrecy_KS > list_Secrecy_KS)).
% 13.97/2.28 thf(func_def_77, type, rotate1237234450ession: (list_S529945141ession > list_S529945141ession)).
% 13.97/2.28 thf(func_def_78, type, rotate1_Secrecy_KS: (list_Secrecy_KS > list_Secrecy_KS)).
% 13.97/2.28 thf(func_def_79, type, shuffl552897610ession: (list_S529945141ession > list_S529945141ession > set_li185139947ession)).
% 13.97/2.28 thf(func_def_80, type, shuffles_Secrecy_KS: (list_Secrecy_KS > list_Secrecy_KS > set_list_Secrecy_KS)).
% 13.97/2.28 thf(func_def_81, type, splice1390717708ession: (list_S529945141ession > list_S529945141ession > list_S529945141ession)).
% 13.97/2.28 thf(func_def_82, type, splice_Secrecy_KS: (list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS)).
% 13.97/2.28 thf(func_def_83, type, subseq348280080ession: (list_S529945141ession > list_l425507653ession)).
% 13.97/2.28 thf(func_def_84, type, subseqs_Secrecy_KS: (list_Secrecy_KS > list_list_Secrecy_KS)).
% 13.97/2.28 thf(func_def_85, type, succes1388047762ession: ((secrecy_Expression > secrecy_Expression > $o) > list_S529945141ession > $o)).
% 13.97/2.28 thf(func_def_86, type, succes590251810ecy_KS: ((secrecy_KS > secrecy_KS > $o) > list_Secrecy_KS > $o)).
% 13.97/2.28 thf(func_def_87, type, decr: (secrecy_Keys > list_S529945141ession > list_S529945141ession)).
% 13.97/2.28 thf(func_def_88, type, enc: (secrecy_Keys > list_S529945141ession > list_S529945141ession)).
% 13.97/2.28 thf(func_def_89, type, encrDecrKeys: (secrecy_Keys > secrecy_Keys > $o)).
% 13.97/2.28 thf(func_def_90, type, ext: (secrecy_Keys > list_S529945141ession > list_S529945141ession)).
% 13.97/2.28 thf(func_def_91, type, sign: (secrecy_Keys > list_S529945141ession > list_S529945141ession)).
% 13.97/2.28 thf(func_def_92, type, eout: (secrecy_specID > secrecy_Expression > $o)).
% 13.97/2.28 thf(func_def_93, type, ine: (secrecy_specID > secrecy_Expression > $o)).
% 13.97/2.28 thf(func_def_94, type, notSpe1586871396tsExpr: (secrecy_specID > list_S529945141ession > $o)).
% 13.97/2.28 thf(func_def_95, type, specKeys: (secrecy_specID > set_Secrecy_Keys)).
% 13.97/2.28 thf(func_def_96, type, specKeysSecrets: (secrecy_specID > set_Secrecy_KS)).
% 13.97/2.28 thf(func_def_97, type, specSecrets: (secrecy_specID > set_Secrecy_Secrets)).
% 13.97/2.28 thf(func_def_98, type, secrec1371625429on2KSL: (list_S529945141ession > list_Secrecy_KS)).
% 13.97/2.28 thf(func_def_99, type, secrecy_kE: (secrecy_Keys > secrecy_Expression)).
% 13.97/2.28 thf(func_def_100, type, secrecy_sE: (secrecy_Secrets > secrecy_Expression)).
% 13.97/2.28 thf(func_def_101, type, secrec1016742679ession: (secrecy_KS > secrecy_Expression)).
% 13.97/2.28 thf(func_def_102, type, secrecy_kKS: (secrecy_Keys > secrecy_KS)).
% 13.97/2.28 thf(func_def_103, type, secrecy_sKS: (secrecy_Secrets > secrecy_KS)).
% 13.97/2.28 thf(func_def_104, type, collect_Secrecy_KS: ((secrecy_KS > $o) > set_Secrecy_KS)).
% 13.97/2.28 thf(func_def_105, type, collect_Secrecy_Keys: ((secrecy_Keys > $o) > set_Secrecy_Keys)).
% 13.97/2.28 thf(func_def_106, type, collec836099393ecrets: ((secrecy_Secrets > $o) > set_Secrecy_Secrets)).
% 13.97/2.28 thf(func_def_107, type, member249235532ession: (list_S529945141ession > set_li185139947ession > $o)).
% 13.97/2.28 thf(func_def_108, type, member193705948ecy_KS: (list_Secrecy_KS > set_list_Secrecy_KS > $o)).
% 13.97/2.28 thf(func_def_109, type, member341114536y_Keys: (list_Secrecy_Keys > set_li849033543y_Keys > $o)).
% 13.97/2.28 thf(func_def_110, type, member1138497285ecrets: (list_Secrecy_Secrets > set_li2007071804ecrets > $o)).
% 13.97/2.28 thf(func_def_111, type, member279582780ession: (secrecy_Expression > set_Se1942955227ession > $o)).
% 13.97/2.28 thf(func_def_112, type, member_Secrecy_KS2: (secrecy_KS > set_Secrecy_KS > $o)).
% 13.97/2.28 thf(func_def_113, type, member_Secrecy_Keys: (secrecy_Keys > set_Secrecy_Keys > $o)).
% 13.97/2.28 thf(func_def_114, type, member2138796287ecrets: (secrecy_Secrets > set_Secrecy_Secrets > $o)).
% 13.97/2.28 thf(func_def_115, type, a: secrecy_specID).
% 13.97/2.28 thf(func_def_116, type, m: secrecy_Secrets).
% 13.97/2.28 thf(func_def_120, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 13.97/2.28 thf(func_def_121, type, vOR: ($o > $o > $o)).
% 13.97/2.28 thf(func_def_122, type, vAND: ($o > $o > $o)).
% 13.97/2.28 thf(func_def_123, type, vNOT: ($o > $o)).
% 13.97/2.28 thf(func_def_124, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 13.97/2.28 thf(func_def_125, type, db0: !>[X0: $tType]:(X0)).
% 13.97/2.28 thf(func_def_126, type, db1: !>[X0: $tType]:(X0)).
% 13.97/2.28 thf(func_def_127, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 13.97/2.28 thf(func_def_128, type, db2: !>[X0: $tType]:(X0)).
% 13.97/2.28 thf(func_def_129, type, db5: !>[X0: $tType]:(X0)).
% 13.97/2.28 thf(func_def_130, type, db3: !>[X0: $tType]:(X0)).
% 13.97/2.28 thf(func_def_131, type, db4: !>[X0: $tType]:(X0)).
% 13.97/2.28 thf(func_def_132, type, db6: !>[X0: $tType]:(X0)).
% 13.97/2.28 thf(func_def_133, type, vIMP: ($o > $o > $o)).
% 13.97/2.28 thf(func_def_134, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 13.97/2.28 thf(func_def_135, type, sP0: ((list_Secrecy_KS > $o) > $o)).
% 13.97/2.28 thf(func_def_136, type, sP1: ((list_S529945141ession > $o) > $o)).
% 13.97/2.28 thf(func_def_137, type, sP2: ((list_Secrecy_KS > $o) > $o)).
% 13.97/2.28 thf(func_def_138, type, sP3: ((list_S529945141ession > $o) > $o)).
% 13.97/2.28 thf(func_def_139, type, sP4: ((list_Secrecy_KS > $o) > $o)).
% 13.97/2.28 thf(func_def_140, type, sP5: ((list_S529945141ession > $o) > $o)).
% 13.97/2.28 thf(func_def_141, type, sP6: ((list_Secrecy_KS > list_Secrecy_KS > $o) > $o)).
% 13.97/2.28 thf(func_def_142, type, sP7: ((list_S529945141ession > list_S529945141ession > $o) > $o)).
% 13.97/2.28 thf(func_def_143, type, sP8: (secrecy_Expression > secrecy_specID > $o)).
% 13.97/2.28 thf(func_def_144, type, sP9: (list_Secrecy_KS > list_S529945141ession > list_S529945141ession > $o)).
% 13.97/2.28 thf(func_def_145, type, sP10: (list_S529945141ession > list_S529945141ession > list_S529945141ession > $o)).
% 13.97/2.28 thf(func_def_146, type, sP11: ((secrecy_KS > secrecy_KS > $o) > (list_Secrecy_KS > list_Secrecy_KS > $o) > $o)).
% 13.97/2.29 thf(func_def_147, type, sP12: ((secrecy_KS > secrecy_Expression > $o) > (list_Secrecy_KS > list_S529945141ession > $o) > $o)).
% 13.97/2.29 thf(func_def_148, type, sP13: ((secrecy_Expression > secrecy_KS > $o) > (list_S529945141ession > list_Secrecy_KS > $o) > $o)).
% 13.97/2.29 thf(func_def_149, type, sP14: ((secrecy_Expression > secrecy_Expression > $o) > (list_S529945141ession > list_S529945141ession > $o) > $o)).
% 13.97/2.29 thf(func_def_150, type, sP15: (list_Secrecy_KS > (secrecy_KS > secrecy_KS > $o) > secrecy_KS > $o)).
% 13.97/2.29 thf(func_def_151, type, sP16: (list_Secrecy_KS > secrecy_KS > secrecy_KS > (secrecy_KS > secrecy_KS > $o) > list_Secrecy_KS > $o)).
% 13.97/2.29 thf(func_def_152, type, sP17: (list_Secrecy_KS > list_Secrecy_KS > (secrecy_KS > secrecy_KS > $o) > $o)).
% 13.97/2.29 thf(func_def_153, type, sP18: (list_S529945141ession > (secrecy_Expression > secrecy_Expression > $o) > secrecy_Expression > $o)).
% 13.97/2.29 thf(func_def_154, type, sP19: (list_S529945141ession > secrecy_Expression > secrecy_Expression > (secrecy_Expression > secrecy_Expression > $o) > list_S529945141ession > $o)).
% 13.97/2.29 thf(func_def_155, type, sP20: (list_S529945141ession > list_S529945141ession > (secrecy_Expression > secrecy_Expression > $o) > $o)).
% 13.97/2.29 thf(func_def_156, type, sP21: ((secrecy_KS > secrecy_KS > $o) > (list_Secrecy_KS > list_Secrecy_KS > $o) > $o)).
% 13.97/2.29 thf(func_def_157, type, sP22: ((secrecy_Expression > secrecy_Expression > $o) > (list_S529945141ession > list_S529945141ession > $o) > $o)).
% 13.97/2.29 thf(func_def_158, type, sP23: (list_Secrecy_KS > secrecy_KS > secrecy_KS > (secrecy_KS > secrecy_KS > $o) > list_Secrecy_KS > $o)).
% 13.97/2.29 thf(func_def_159, type, sP24: (list_Secrecy_KS > list_Secrecy_KS > $o)).
% 13.97/2.29 thf(func_def_160, type, sP25: (list_S529945141ession > secrecy_KS > secrecy_Expression > (secrecy_KS > secrecy_Expression > $o) > list_Secrecy_KS > $o)).
% 13.97/2.29 thf(func_def_161, type, sP26: (list_Secrecy_KS > list_S529945141ession > $o)).
% 13.97/2.29 thf(func_def_162, type, sP27: (list_Secrecy_KS > secrecy_Expression > secrecy_KS > (secrecy_Expression > secrecy_KS > $o) > list_S529945141ession > $o)).
% 13.97/2.29 thf(func_def_163, type, sP28: (list_S529945141ession > list_Secrecy_KS > $o)).
% 13.97/2.29 thf(func_def_164, type, sP29: (list_S529945141ession > secrecy_Expression > secrecy_Expression > (secrecy_Expression > secrecy_Expression > $o) > list_S529945141ession > $o)).
% 13.97/2.29 thf(func_def_165, type, sP30: (list_S529945141ession > list_S529945141ession > $o)).
% 13.97/2.29 thf(func_def_166, type, sP31: (list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS > $o)).
% 13.97/2.29 thf(func_def_167, type, sP32: (list_S529945141ession > list_S529945141ession > list_S529945141ession > $o)).
% 13.97/2.29 thf(func_def_168, type, sP33: ((list_Secrecy_KS > $o) > $o)).
% 13.97/2.29 thf(func_def_169, type, sP34: ((list_S529945141ession > $o) > $o)).
% 13.97/2.29 thf(func_def_170, type, sP35: (list_l425507653ession > list_S529945141ession > list_S529945141ession > $o)).
% 13.97/2.29 thf(func_def_171, type, sP36: (list_S529945141ession > list_S529945141ession > $o)).
% 13.97/2.29 thf(func_def_172, type, sP37: (list_Secrecy_KS > list_Secrecy_KS > $o)).
% 13.97/2.29 thf(func_def_173, type, sP38: (list_Secrecy_KS > secrecy_KS > list_Secrecy_KS > list_Secrecy_KS > $o)).
% 13.97/2.29 thf(func_def_174, type, sP39: (list_Secrecy_KS > secrecy_KS > list_Secrecy_KS > list_Secrecy_KS > $o)).
% 13.97/2.29 thf(func_def_175, type, sP40: (list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS > $o)).
% 13.97/2.29 thf(func_def_176, type, sP41: (list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS > $o)).
% 13.97/2.29 thf(func_def_177, type, sP42: (list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS > $o)).
% 13.97/2.29 thf(func_def_178, type, sP43: (list_S529945141ession > secrecy_Expression > list_S529945141ession > list_S529945141ession > $o)).
% 13.97/2.29 thf(func_def_179, type, sP44: (list_S529945141ession > secrecy_Expression > list_S529945141ession > list_S529945141ession > $o)).
% 13.97/2.29 thf(func_def_180, type, sP45: (list_S529945141ession > list_S529945141ession > list_S529945141ession > $o)).
% 13.97/2.29 thf(func_def_181, type, sP46: (list_S529945141ession > list_S529945141ession > list_S529945141ession > $o)).
% 13.97/2.29 thf(func_def_182, type, sP47: (list_S529945141ession > list_S529945141ession > list_S529945141ession > $o)).
% 13.97/2.29 thf(func_def_183, type, sP48: (list_Secrecy_KS > $o > $o)).
% 13.97/2.29 thf(func_def_184, type, sP49: (list_Secrecy_KS > $o > $o)).
% 13.97/2.29 thf(func_def_185, type, sP50: (list_S529945141ession > $o > $o)).
% 13.97/2.29 thf(func_def_186, type, sP51: (list_S529945141ession > $o > $o)).
% 13.97/2.29 thf(func_def_187, type, sP52: (list_Secrecy_KS > (secrecy_KS > secrecy_KS > $o) > $o)).
% 13.97/2.29 thf(func_def_188, type, sP53: (list_S529945141ession > (secrecy_Expression > secrecy_Expression > $o) > $o)).
% 13.97/2.29 thf(func_def_189, type, sP54: (list_S529945141ession > list_S529945141ession > $o)).
% 13.97/2.29 thf(func_def_190, type, sP55: (list_Secrecy_KS > list_Secrecy_KS > $o)).
% 13.97/2.29 thf(func_def_191, type, sP56: (list_Secrecy_KS > list_Secrecy_KS > $o)).
% 13.97/2.29 thf(func_def_192, type, sP57: (list_Secrecy_KS > list_Secrecy_KS > $o)).
% 13.97/2.29 thf(func_def_193, type, sP58: (list_S529945141ession > list_S529945141ession > $o)).
% 13.97/2.29 thf(func_def_194, type, sP59: (list_S529945141ession > list_S529945141ession > $o)).
% 13.97/2.29 thf(func_def_195, type, sK60: (secrecy_KS > secrecy_Secrets)).
% 13.97/2.29 thf(func_def_196, type, sK61: (secrecy_KS > secrecy_Keys)).
% 13.97/2.29 thf(func_def_197, type, sK62: ((secrecy_KS > $o) > secrecy_Secrets)).
% 13.97/2.29 thf(func_def_198, type, sK63: ((secrecy_KS > $o) > secrecy_Keys)).
% 13.97/2.29 thf(func_def_199, type, sK64: (list_Secrecy_KS > secrecy_KS)).
% 13.97/2.29 thf(func_def_200, type, sK65: (list_Secrecy_KS > list_Secrecy_KS)).
% 13.97/2.29 thf(func_def_201, type, sK66: (list_S529945141ession > secrecy_Expression)).
% 13.97/2.29 thf(func_def_202, type, sK67: (list_S529945141ession > list_S529945141ession)).
% 13.97/2.29 thf(func_def_203, type, sK68: ((list_Secrecy_KS > $o) > secrecy_KS)).
% 13.97/2.29 thf(func_def_204, type, sK69: ((list_Secrecy_KS > $o) > list_Secrecy_KS)).
% 13.97/2.29 thf(func_def_205, type, sK70: ((list_S529945141ession > $o) > secrecy_Expression)).
% 13.97/2.29 thf(func_def_206, type, sK71: ((list_S529945141ession > $o) > list_S529945141ession)).
% 13.97/2.29 thf(func_def_207, type, sK72: ((list_Secrecy_KS > list_Secrecy_KS > $o) > secrecy_KS)).
% 13.97/2.29 thf(func_def_208, type, sK73: ((list_Secrecy_KS > list_Secrecy_KS > $o) > list_Secrecy_KS)).
% 13.97/2.29 thf(func_def_209, type, sK74: ((list_Secrecy_KS > list_Secrecy_KS > $o) > secrecy_KS)).
% 13.97/2.29 thf(func_def_210, type, sK75: ((list_Secrecy_KS > list_Secrecy_KS > $o) > list_Secrecy_KS)).
% 13.97/2.29 thf(func_def_211, type, sK76: ((list_Secrecy_KS > list_Secrecy_KS > $o) > secrecy_KS)).
% 13.97/2.29 thf(func_def_212, type, sK77: ((list_Secrecy_KS > list_Secrecy_KS > $o) > list_Secrecy_KS)).
% 13.97/2.29 thf(func_def_213, type, sK78: ((list_Secrecy_KS > list_Secrecy_KS > $o) > secrecy_KS)).
% 13.97/2.29 thf(func_def_214, type, sK79: ((list_Secrecy_KS > list_Secrecy_KS > $o) > list_Secrecy_KS)).
% 13.97/2.29 thf(func_def_215, type, sK80: ((list_Secrecy_KS > list_S529945141ession > $o) > secrecy_KS)).
% 13.97/2.29 thf(func_def_216, type, sK81: ((list_Secrecy_KS > list_S529945141ession > $o) > list_Secrecy_KS)).
% 13.97/2.29 thf(func_def_217, type, sK82: ((list_Secrecy_KS > list_S529945141ession > $o) > secrecy_Expression)).
% 13.97/2.29 thf(func_def_218, type, sK83: ((list_Secrecy_KS > list_S529945141ession > $o) > list_S529945141ession)).
% 13.97/2.29 thf(func_def_219, type, sK84: ((list_Secrecy_KS > list_S529945141ession > $o) > secrecy_Expression)).
% 13.97/2.29 thf(func_def_220, type, sK85: ((list_Secrecy_KS > list_S529945141ession > $o) > list_S529945141ession)).
% 13.97/2.29 thf(func_def_221, type, sK86: ((list_Secrecy_KS > list_S529945141ession > $o) > secrecy_KS)).
% 13.97/2.29 thf(func_def_222, type, sK87: ((list_Secrecy_KS > list_S529945141ession > $o) > list_Secrecy_KS)).
% 13.97/2.29 thf(func_def_223, type, sK88: ((list_S529945141ession > list_Secrecy_KS > $o) > secrecy_Expression)).
% 13.97/2.29 thf(func_def_224, type, sK89: ((list_S529945141ession > list_Secrecy_KS > $o) > list_S529945141ession)).
% 13.97/2.29 thf(func_def_225, type, sK90: ((list_S529945141ession > list_Secrecy_KS > $o) > secrecy_KS)).
% 13.97/2.29 thf(func_def_226, type, sK91: ((list_S529945141ession > list_Secrecy_KS > $o) > list_Secrecy_KS)).
% 13.97/2.29 thf(func_def_227, type, sK92: ((list_S529945141ession > list_Secrecy_KS > $o) > secrecy_KS)).
% 13.97/2.29 thf(func_def_228, type, sK93: ((list_S529945141ession > list_Secrecy_KS > $o) > list_Secrecy_KS)).
% 13.97/2.29 thf(func_def_229, type, sK94: ((list_S529945141ession > list_Secrecy_KS > $o) > secrecy_Expression)).
% 13.97/2.29 thf(func_def_230, type, sK95: ((list_S529945141ession > list_Secrecy_KS > $o) > list_S529945141ession)).
% 13.97/2.29 thf(func_def_231, type, sK96: ((list_S529945141ession > list_S529945141ession > $o) > secrecy_Expression)).
% 13.97/2.29 thf(func_def_232, type, sK97: ((list_S529945141ession > list_S529945141ession > $o) > list_S529945141ession)).
% 13.97/2.29 thf(func_def_233, type, sK98: ((list_S529945141ession > list_S529945141ession > $o) > secrecy_Expression)).
% 13.97/2.29 thf(func_def_234, type, sK99: ((list_S529945141ession > list_S529945141ession > $o) > list_S529945141ession)).
% 13.97/2.29 thf(func_def_235, type, sK100: ((list_S529945141ession > list_S529945141ession > $o) > secrecy_Expression)).
% 13.97/2.29 thf(func_def_236, type, sK101: ((list_S529945141ession > list_S529945141ession > $o) > list_S529945141ession)).
% 13.97/2.29 thf(func_def_237, type, sK102: ((list_S529945141ession > list_S529945141ession > $o) > secrecy_Expression)).
% 13.97/2.29 thf(func_def_238, type, sK103: ((list_S529945141ession > list_S529945141ession > $o) > list_S529945141ession)).
% 13.97/2.29 thf(func_def_239, type, sK104: ((list_Secrecy_KS > list_Secrecy_KS > $o) > secrecy_KS)).
% 13.97/2.29 thf(func_def_240, type, sK105: ((list_Secrecy_KS > list_Secrecy_KS > $o) > list_Secrecy_KS)).
% 13.97/2.29 thf(func_def_241, type, sK106: ((list_Secrecy_KS > list_Secrecy_KS > $o) > list_Secrecy_KS)).
% 13.97/2.29 thf(func_def_242, type, sK107: ((list_Secrecy_KS > list_Secrecy_KS > $o) > list_Secrecy_KS)).
% 13.97/2.29 thf(func_def_243, type, sK108: ((list_S529945141ession > list_S529945141ession > $o) > secrecy_Expression)).
% 13.97/2.29 thf(func_def_244, type, sK109: ((list_S529945141ession > list_S529945141ession > $o) > list_S529945141ession)).
% 13.97/2.29 thf(func_def_245, type, sK110: ((list_S529945141ession > list_S529945141ession > $o) > list_S529945141ession)).
% 13.97/2.29 thf(func_def_246, type, sK111: ((list_S529945141ession > list_S529945141ession > $o) > list_S529945141ession)).
% 13.97/2.29 thf(func_def_247, type, sK112: ((list_Secrecy_KS > $o) > secrecy_KS)).
% 13.97/2.29 thf(func_def_248, type, sK113: ((list_Secrecy_KS > $o) > secrecy_KS)).
% 13.97/2.29 thf(func_def_249, type, sK114: ((list_Secrecy_KS > $o) > list_Secrecy_KS)).
% 13.97/2.29 thf(func_def_250, type, sK115: ((list_Secrecy_KS > $o) > secrecy_KS)).
% 13.97/2.29 thf(func_def_251, type, sK116: ((list_S529945141ession > $o) > secrecy_Expression)).
% 13.97/2.29 thf(func_def_252, type, sK117: ((list_S529945141ession > $o) > secrecy_Expression)).
% 13.97/2.29 thf(func_def_253, type, sK118: ((list_S529945141ession > $o) > list_S529945141ession)).
% 13.97/2.29 thf(func_def_254, type, sK119: ((list_S529945141ession > $o) > secrecy_Expression)).
% 13.97/2.29 thf(func_def_255, type, sK120: (((secrecy_KS > secrecy_Expression) > list_Secrecy_KS > list_S529945141ession > $o) > secrecy_KS > secrecy_Expression)).
% 13.97/2.29 thf(func_def_256, type, sK121: (((secrecy_KS > secrecy_Expression) > list_Secrecy_KS > list_S529945141ession > $o) > secrecy_KS)).
% 13.97/2.29 thf(func_def_257, type, sK122: (((secrecy_KS > secrecy_Expression) > list_Secrecy_KS > list_S529945141ession > $o) > list_Secrecy_KS)).
% 13.97/2.29 thf(func_def_258, type, sK123: (((secrecy_KS > secrecy_Expression) > list_Secrecy_KS > list_S529945141ession > $o) > list_S529945141ession)).
% 13.97/2.29 thf(func_def_259, type, sK124: (((secrecy_KS > secrecy_Expression) > list_Secrecy_KS > list_S529945141ession > $o) > secrecy_KS > secrecy_Expression)).
% 13.97/2.29 thf(func_def_260, type, sK125: (((secrecy_KS > secrecy_Expression) > list_Secrecy_KS > list_S529945141ession > $o) > list_S529945141ession)).
% 13.97/2.29 thf(func_def_261, type, sK126: (((secrecy_Expression > secrecy_Expression) > list_S529945141ession > list_S529945141ession > $o) > secrecy_Expression > secrecy_Expression)).
% 13.97/2.29 thf(func_def_262, type, sK127: (((secrecy_Expression > secrecy_Expression) > list_S529945141ession > list_S529945141ession > $o) > secrecy_Expression)).
% 13.97/2.29 thf(func_def_263, type, sK128: (((secrecy_Expression > secrecy_Expression) > list_S529945141ession > list_S529945141ession > $o) > list_S529945141ession)).
% 13.97/2.29 thf(func_def_264, type, sK129: (((secrecy_Expression > secrecy_Expression) > list_S529945141ession > list_S529945141ession > $o) > list_S529945141ession)).
% 13.97/2.29 thf(func_def_265, type, sK130: (((secrecy_Expression > secrecy_Expression) > list_S529945141ession > list_S529945141ession > $o) > secrecy_Expression > secrecy_Expression)).
% 13.97/2.29 thf(func_def_266, type, sK131: (((secrecy_Expression > secrecy_Expression) > list_S529945141ession > list_S529945141ession > $o) > list_S529945141ession)).
% 13.97/2.29 thf(func_def_267, type, sK132: ((list_Secrecy_KS > $o) > secrecy_KS)).
% 13.97/2.29 thf(func_def_268, type, sK133: ((list_Secrecy_KS > $o) > list_Secrecy_KS)).
% 13.97/2.29 thf(func_def_269, type, sK134: ((list_Secrecy_KS > $o) > secrecy_KS)).
% 13.97/2.29 thf(func_def_270, type, sK135: ((list_S529945141ession > $o) > secrecy_Expression)).
% 13.97/2.29 thf(func_def_271, type, sK136: ((list_S529945141ession > $o) > list_S529945141ession)).
% 13.97/2.29 thf(func_def_272, type, sK137: ((list_S529945141ession > $o) > secrecy_Expression)).
% 13.97/2.29 thf(func_def_273, type, sK138: (((secrecy_KS > secrecy_KS > $o) > list_Secrecy_KS > $o) > secrecy_KS > secrecy_KS > $o)).
% 13.97/2.29 thf(func_def_274, type, sK139: (((secrecy_KS > secrecy_KS > $o) > list_Secrecy_KS > $o) > secrecy_KS)).
% 13.97/2.29 thf(func_def_275, type, sK140: (((secrecy_KS > secrecy_KS > $o) > list_Secrecy_KS > $o) > secrecy_KS)).
% 13.97/2.29 thf(func_def_276, type, sK141: (((secrecy_KS > secrecy_KS > $o) > list_Secrecy_KS > $o) > list_Secrecy_KS)).
% 13.97/2.29 thf(func_def_277, type, sK142: (((secrecy_KS > secrecy_KS > $o) > list_Secrecy_KS > $o) > secrecy_KS > secrecy_KS > $o)).
% 13.97/2.29 thf(func_def_278, type, sK143: (((secrecy_KS > secrecy_KS > $o) > list_Secrecy_KS > $o) > secrecy_KS)).
% 13.97/2.29 thf(func_def_279, type, sK144: (((secrecy_KS > secrecy_KS > $o) > list_Secrecy_KS > $o) > secrecy_KS > secrecy_KS > $o)).
% 13.97/2.29 thf(func_def_280, type, sK145: (((secrecy_Expression > secrecy_Expression > $o) > list_S529945141ession > $o) > secrecy_Expression > secrecy_Expression > $o)).
% 13.97/2.29 thf(func_def_281, type, sK146: (((secrecy_Expression > secrecy_Expression > $o) > list_S529945141ession > $o) > secrecy_Expression)).
% 13.97/2.29 thf(func_def_282, type, sK147: (((secrecy_Expression > secrecy_Expression > $o) > list_S529945141ession > $o) > secrecy_Expression)).
% 13.97/2.29 thf(func_def_283, type, sK148: (((secrecy_Expression > secrecy_Expression > $o) > list_S529945141ession > $o) > list_S529945141ession)).
% 13.97/2.29 thf(func_def_284, type, sK149: (((secrecy_Expression > secrecy_Expression > $o) > list_S529945141ession > $o) > secrecy_Expression > secrecy_Expression > $o)).
% 13.97/2.29 thf(func_def_285, type, sK150: (((secrecy_Expression > secrecy_Expression > $o) > list_S529945141ession > $o) > secrecy_Expression)).
% 13.97/2.29 thf(func_def_286, type, sK151: (((secrecy_Expression > secrecy_Expression > $o) > list_S529945141ession > $o) > secrecy_Expression > secrecy_Expression > $o)).
% 13.97/2.29 thf(func_def_287, type, sK152: ((list_Secrecy_KS > $o) > secrecy_KS)).
% 13.97/2.29 thf(func_def_288, type, sK153: ((list_Secrecy_KS > $o) > secrecy_KS)).
% 13.97/2.29 thf(func_def_289, type, sK154: ((list_Secrecy_KS > $o) > list_Secrecy_KS)).
% 13.97/2.29 thf(func_def_290, type, sK155: ((list_Secrecy_KS > $o) > secrecy_KS)).
% 13.97/2.29 thf(func_def_291, type, sK156: ((list_S529945141ession > $o) > secrecy_Expression)).
% 13.97/2.29 thf(func_def_292, type, sK157: ((list_S529945141ession > $o) > secrecy_Expression)).
% 13.97/2.29 thf(func_def_293, type, sK158: ((list_S529945141ession > $o) > list_S529945141ession)).
% 13.97/2.29 thf(func_def_294, type, sK159: ((list_S529945141ession > $o) > secrecy_Expression)).
% 13.97/2.29 thf(func_def_295, type, sK160: (((secrecy_KS > secrecy_KS > $o) > list_Secrecy_KS > $o) > secrecy_KS > secrecy_KS > $o)).
% 13.97/2.29 thf(func_def_296, type, sK161: (((secrecy_KS > secrecy_KS > $o) > list_Secrecy_KS > $o) > secrecy_KS)).
% 13.97/2.29 thf(func_def_297, type, sK162: (((secrecy_KS > secrecy_KS > $o) > list_Secrecy_KS > $o) > list_Secrecy_KS)).
% 13.97/2.29 thf(func_def_298, type, sK163: (((secrecy_KS > secrecy_KS > $o) > list_Secrecy_KS > $o) > secrecy_KS > secrecy_KS > $o)).
% 13.97/2.29 thf(func_def_299, type, sK164: (((secrecy_Expression > secrecy_Expression > $o) > list_S529945141ession > $o) > secrecy_Expression > secrecy_Expression > $o)).
% 13.97/2.29 thf(func_def_300, type, sK165: (((secrecy_Expression > secrecy_Expression > $o) > list_S529945141ession > $o) > secrecy_Expression)).
% 13.97/2.29 thf(func_def_301, type, sK166: (((secrecy_Expression > secrecy_Expression > $o) > list_S529945141ession > $o) > list_S529945141ession)).
% 13.97/2.29 thf(func_def_302, type, sK167: (((secrecy_Expression > secrecy_Expression > $o) > list_S529945141ession > $o) > secrecy_Expression > secrecy_Expression > $o)).
% 13.97/2.29 thf(func_def_303, type, sK168: (list_Secrecy_KS > secrecy_KS)).
% 13.97/2.29 thf(func_def_304, type, sK169: (list_Secrecy_KS > secrecy_KS)).
% 13.97/2.29 thf(func_def_305, type, sK170: (list_Secrecy_KS > list_Secrecy_KS)).
% 13.97/2.29 thf(func_def_306, type, sK171: (list_Secrecy_KS > secrecy_KS)).
% 13.97/2.29 thf(func_def_307, type, sK172: (list_S529945141ession > secrecy_Expression)).
% 13.97/2.29 thf(func_def_308, type, sK173: (list_S529945141ession > secrecy_Expression)).
% 13.97/2.29 thf(func_def_309, type, sK174: (list_S529945141ession > list_S529945141ession)).
% 13.97/2.29 thf(func_def_310, type, sK175: (list_S529945141ession > secrecy_Expression)).
% 13.97/2.29 thf(func_def_311, type, sK176: (list_list_Secrecy_KS > secrecy_KS)).
% 13.97/2.29 thf(func_def_312, type, sK177: (list_list_Secrecy_KS > list_Secrecy_KS)).
% 13.97/2.29 thf(func_def_313, type, sK178: (list_list_Secrecy_KS > list_list_Secrecy_KS)).
% 13.97/2.29 thf(func_def_314, type, sK179: (list_list_Secrecy_KS > list_list_Secrecy_KS)).
% 13.97/2.29 thf(func_def_315, type, sK180: (list_l425507653ession > secrecy_Expression)).
% 13.97/2.29 thf(func_def_316, type, sK181: (list_l425507653ession > list_S529945141ession)).
% 13.97/2.29 thf(func_def_317, type, sK182: (list_l425507653ession > list_l425507653ession)).
% 13.97/2.29 thf(func_def_318, type, sK183: (list_l425507653ession > list_l425507653ession)).
% 13.97/2.29 thf(func_def_319, type, sK184: ((list_Secrecy_KS > list_Secrecy_KS > $o) > secrecy_KS)).
% 13.97/2.29 thf(func_def_320, type, sK185: ((list_Secrecy_KS > list_Secrecy_KS > $o) > list_Secrecy_KS)).
% 13.97/2.29 thf(func_def_321, type, sK186: ((list_Secrecy_KS > list_Secrecy_KS > $o) > secrecy_KS)).
% 13.97/2.29 thf(func_def_322, type, sK187: ((list_Secrecy_KS > list_Secrecy_KS > $o) > list_Secrecy_KS)).
% 13.97/2.29 thf(func_def_323, type, sK188: ((list_Secrecy_KS > list_Secrecy_KS > $o) > list_Secrecy_KS)).
% 13.97/2.29 thf(func_def_324, type, sK189: ((list_Secrecy_KS > list_Secrecy_KS > $o) > list_Secrecy_KS)).
% 13.97/2.29 thf(func_def_325, type, sK190: ((list_S529945141ession > list_S529945141ession > $o) > secrecy_Expression)).
% 13.97/2.29 thf(func_def_326, type, sK191: ((list_S529945141ession > list_S529945141ession > $o) > list_S529945141ession)).
% 13.97/2.29 thf(func_def_327, type, sK192: ((list_S529945141ession > list_S529945141ession > $o) > secrecy_Expression)).
% 13.97/2.29 thf(func_def_328, type, sK193: ((list_S529945141ession > list_S529945141ession > $o) > list_S529945141ession)).
% 13.97/2.29 thf(func_def_329, type, sK194: ((list_S529945141ession > list_S529945141ession > $o) > list_S529945141ession)).
% 13.97/2.29 thf(func_def_330, type, sK195: ((list_S529945141ession > list_S529945141ession > $o) > list_S529945141ession)).
% 13.97/2.29 thf(func_def_331, type, sK196: (secrecy_Expression > secrecy_specID > secrecy_Keys)).
% 13.97/2.29 thf(func_def_332, type, sK197: (secrecy_Expression > secrecy_specID > secrecy_Secrets)).
% 13.97/2.29 thf(func_def_333, type, sK198: (list_S529945141ession > list_S529945141ession > list_Secrecy_KS > (secrecy_KS > secrecy_Expression) > secrecy_KS)).
% 13.97/2.29 thf(func_def_334, type, sK199: (list_S529945141ession > list_S529945141ession > list_Secrecy_KS > (secrecy_KS > secrecy_Expression) > list_Secrecy_KS)).
% 13.97/2.29 thf(func_def_335, type, sK200: (list_S529945141ession > list_S529945141ession > list_S529945141ession > (secrecy_Expression > secrecy_Expression) > secrecy_Expression)).
% 13.97/2.29 thf(func_def_336, type, sK201: (list_S529945141ession > list_S529945141ession > list_S529945141ession > (secrecy_Expression > secrecy_Expression) > list_S529945141ession)).
% 13.97/2.29 thf(func_def_337, type, sK202: ((secrecy_KS > secrecy_KS > $o) > (list_Secrecy_KS > list_Secrecy_KS > $o) > secrecy_KS)).
% 13.97/2.29 thf(func_def_338, type, sK203: ((secrecy_KS > secrecy_KS > $o) > (list_Secrecy_KS > list_Secrecy_KS > $o) > secrecy_KS)).
% 13.97/2.29 thf(func_def_339, type, sK204: ((secrecy_KS > secrecy_KS > $o) > (list_Secrecy_KS > list_Secrecy_KS > $o) > list_Secrecy_KS)).
% 13.97/2.29 thf(func_def_340, type, sK205: ((secrecy_KS > secrecy_KS > $o) > (list_Secrecy_KS > list_Secrecy_KS > $o) > list_Secrecy_KS)).
% 13.97/2.29 thf(func_def_341, type, sK206: ((secrecy_KS > secrecy_Expression > $o) > (list_Secrecy_KS > list_S529945141ession > $o) > secrecy_KS)).
% 13.97/2.29 thf(func_def_342, type, sK207: ((secrecy_KS > secrecy_Expression > $o) > (list_Secrecy_KS > list_S529945141ession > $o) > secrecy_Expression)).
% 13.97/2.29 thf(func_def_343, type, sK208: ((secrecy_KS > secrecy_Expression > $o) > (list_Secrecy_KS > list_S529945141ession > $o) > list_Secrecy_KS)).
% 13.97/2.29 thf(func_def_344, type, sK209: ((secrecy_KS > secrecy_Expression > $o) > (list_Secrecy_KS > list_S529945141ession > $o) > list_S529945141ession)).
% 13.97/2.29 thf(func_def_345, type, sK210: ((secrecy_Expression > secrecy_KS > $o) > (list_S529945141ession > list_Secrecy_KS > $o) > secrecy_Expression)).
% 13.97/2.29 thf(func_def_346, type, sK211: ((secrecy_Expression > secrecy_KS > $o) > (list_S529945141ession > list_Secrecy_KS > $o) > secrecy_KS)).
% 13.97/2.29 thf(func_def_347, type, sK212: ((secrecy_Expression > secrecy_KS > $o) > (list_S529945141ession > list_Secrecy_KS > $o) > list_S529945141ession)).
% 13.97/2.29 thf(func_def_348, type, sK213: ((secrecy_Expression > secrecy_KS > $o) > (list_S529945141ession > list_Secrecy_KS > $o) > list_Secrecy_KS)).
% 13.97/2.29 thf(func_def_349, type, sK214: ((secrecy_Expression > secrecy_Expression > $o) > (list_S529945141ession > list_S529945141ession > $o) > secrecy_Expression)).
% 13.97/2.29 thf(func_def_350, type, sK215: ((secrecy_Expression > secrecy_Expression > $o) > (list_S529945141ession > list_S529945141ession > $o) > secrecy_Expression)).
% 13.97/2.29 thf(func_def_351, type, sK216: ((secrecy_Expression > secrecy_Expression > $o) > (list_S529945141ession > list_S529945141ession > $o) > list_S529945141ession)).
% 13.97/2.29 thf(func_def_352, type, sK217: ((secrecy_Expression > secrecy_Expression > $o) > (list_S529945141ession > list_S529945141ession > $o) > list_S529945141ession)).
% 13.97/2.29 thf(func_def_353, type, sK218: (list_Secrecy_KS > list_Secrecy_KS > (secrecy_KS > secrecy_KS > $o) > secrecy_KS)).
% 13.97/2.29 thf(func_def_354, type, sK219: (list_Secrecy_KS > list_Secrecy_KS > (secrecy_KS > secrecy_KS > $o) > list_Secrecy_KS)).
% 13.97/2.29 thf(func_def_355, type, sK220: (list_Secrecy_KS > secrecy_KS > secrecy_KS > (secrecy_KS > secrecy_KS > $o) > list_Secrecy_KS > list_Secrecy_KS)).
% 13.97/2.29 thf(func_def_356, type, sK221: (list_Secrecy_KS > (secrecy_KS > secrecy_KS > $o) > secrecy_KS > secrecy_KS)).
% 13.97/2.29 thf(func_def_357, type, sK222: (list_Secrecy_KS > (secrecy_KS > secrecy_KS > $o) > secrecy_KS > list_Secrecy_KS)).
% 13.97/2.29 thf(func_def_358, type, sK223: (list_Secrecy_KS > list_Secrecy_KS > (secrecy_KS > secrecy_KS > $o) > secrecy_KS)).
% 13.97/2.29 thf(func_def_359, type, sK224: (list_Secrecy_KS > list_Secrecy_KS > (secrecy_KS > secrecy_KS > $o) > secrecy_KS)).
% 13.97/2.29 thf(func_def_360, type, sK225: (list_Secrecy_KS > list_Secrecy_KS > (secrecy_KS > secrecy_KS > $o) > list_Secrecy_KS)).
% 13.97/2.29 thf(func_def_361, type, sK226: (list_S529945141ession > list_S529945141ession > (secrecy_Expression > secrecy_Expression > $o) > secrecy_Expression)).
% 13.97/2.29 thf(func_def_362, type, sK227: (list_S529945141ession > list_S529945141ession > (secrecy_Expression > secrecy_Expression > $o) > list_S529945141ession)).
% 13.97/2.29 thf(func_def_363, type, sK228: (list_S529945141ession > secrecy_Expression > secrecy_Expression > (secrecy_Expression > secrecy_Expression > $o) > list_S529945141ession > list_S529945141ession)).
% 13.97/2.29 thf(func_def_364, type, sK229: (list_S529945141ession > (secrecy_Expression > secrecy_Expression > $o) > secrecy_Expression > secrecy_Expression)).
% 13.97/2.29 thf(func_def_365, type, sK230: (list_S529945141ession > (secrecy_Expression > secrecy_Expression > $o) > secrecy_Expression > list_S529945141ession)).
% 13.97/2.29 thf(func_def_366, type, sK231: (list_S529945141ession > list_S529945141ession > (secrecy_Expression > secrecy_Expression > $o) > secrecy_Expression)).
% 13.97/2.29 thf(func_def_367, type, sK232: (list_S529945141ession > list_S529945141ession > (secrecy_Expression > secrecy_Expression > $o) > secrecy_Expression)).
% 13.97/2.29 thf(func_def_368, type, sK233: (list_S529945141ession > list_S529945141ession > (secrecy_Expression > secrecy_Expression > $o) > list_S529945141ession)).
% 13.97/2.29 thf(func_def_369, type, sK234: ((secrecy_KS > secrecy_KS > $o) > (list_Secrecy_KS > list_Secrecy_KS > $o) > secrecy_KS)).
% 13.97/2.29 thf(func_def_370, type, sK235: ((secrecy_KS > secrecy_KS > $o) > (list_Secrecy_KS > list_Secrecy_KS > $o) > secrecy_KS)).
% 13.97/2.29 thf(func_def_371, type, sK236: ((secrecy_KS > secrecy_KS > $o) > (list_Secrecy_KS > list_Secrecy_KS > $o) > list_Secrecy_KS)).
% 13.97/2.29 thf(func_def_372, type, sK237: ((secrecy_KS > secrecy_KS > $o) > (list_Secrecy_KS > list_Secrecy_KS > $o) > list_Secrecy_KS)).
% 13.97/2.29 thf(func_def_373, type, sK238: ((list_Secrecy_KS > list_Secrecy_KS > $o) > (secrecy_KS > secrecy_KS > $o) > secrecy_KS)).
% 13.97/2.29 thf(func_def_374, type, sK239: ((list_Secrecy_KS > list_Secrecy_KS > $o) > (secrecy_KS > secrecy_KS > $o) > secrecy_KS)).
% 13.97/2.29 thf(func_def_375, type, sK240: ((list_Secrecy_KS > list_Secrecy_KS > $o) > (secrecy_KS > secrecy_KS > $o) > list_Secrecy_KS)).
% 13.97/2.29 thf(func_def_376, type, sK241: ((list_Secrecy_KS > list_Secrecy_KS > $o) > (secrecy_KS > secrecy_KS > $o) > list_Secrecy_KS)).
% 13.97/2.29 thf(func_def_377, type, sK242: ((list_Secrecy_KS > list_Secrecy_KS > $o) > list_Secrecy_KS)).
% 13.97/2.29 thf(func_def_378, type, sK243: ((secrecy_Expression > secrecy_Expression > $o) > (list_S529945141ession > list_S529945141ession > $o) > secrecy_Expression)).
% 13.97/2.29 thf(func_def_379, type, sK244: ((secrecy_Expression > secrecy_Expression > $o) > (list_S529945141ession > list_S529945141ession > $o) > secrecy_Expression)).
% 13.97/2.29 thf(func_def_380, type, sK245: ((secrecy_Expression > secrecy_Expression > $o) > (list_S529945141ession > list_S529945141ession > $o) > list_S529945141ession)).
% 13.97/2.29 thf(func_def_381, type, sK246: ((secrecy_Expression > secrecy_Expression > $o) > (list_S529945141ession > list_S529945141ession > $o) > list_S529945141ession)).
% 13.97/2.29 thf(func_def_382, type, sK247: ((list_S529945141ession > list_S529945141ession > $o) > (secrecy_Expression > secrecy_Expression > $o) > secrecy_Expression)).
% 13.97/2.29 thf(func_def_383, type, sK248: ((list_S529945141ession > list_S529945141ession > $o) > (secrecy_Expression > secrecy_Expression > $o) > secrecy_Expression)).
% 13.97/2.29 thf(func_def_384, type, sK249: ((list_S529945141ession > list_S529945141ession > $o) > (secrecy_Expression > secrecy_Expression > $o) > list_S529945141ession)).
% 13.97/2.29 thf(func_def_385, type, sK250: ((list_S529945141ession > list_S529945141ession > $o) > (secrecy_Expression > secrecy_Expression > $o) > list_S529945141ession)).
% 13.97/2.29 thf(func_def_386, type, sK251: ((list_S529945141ession > list_S529945141ession > $o) > list_S529945141ession)).
% 13.97/2.29 thf(func_def_387, type, sK252: (list_Secrecy_KS > secrecy_KS > secrecy_KS > (secrecy_KS > secrecy_KS > $o) > list_Secrecy_KS > list_Secrecy_KS)).
% 13.97/2.29 thf(func_def_388, type, sK253: (list_Secrecy_KS > list_Secrecy_KS > (secrecy_KS > secrecy_KS > $o) > secrecy_KS)).
% 13.97/2.29 thf(func_def_389, type, sK254: (list_Secrecy_KS > list_Secrecy_KS > (secrecy_KS > secrecy_KS > $o) > secrecy_KS)).
% 13.97/2.29 thf(func_def_390, type, sK255: (list_Secrecy_KS > list_Secrecy_KS > (secrecy_KS > secrecy_KS > $o) > list_Secrecy_KS)).
% 13.97/2.29 thf(func_def_391, type, sK256: (list_S529945141ession > secrecy_KS > secrecy_Expression > (secrecy_KS > secrecy_Expression > $o) > list_Secrecy_KS > list_S529945141ession)).
% 13.97/2.29 thf(func_def_392, type, sK257: (list_S529945141ession > list_Secrecy_KS > (secrecy_KS > secrecy_Expression > $o) > secrecy_KS)).
% 13.97/2.29 thf(func_def_393, type, sK258: (list_S529945141ession > list_Secrecy_KS > (secrecy_KS > secrecy_Expression > $o) > secrecy_Expression)).
% 13.97/2.29 thf(func_def_394, type, sK259: (list_S529945141ession > list_Secrecy_KS > (secrecy_KS > secrecy_Expression > $o) > list_Secrecy_KS)).
% 13.97/2.29 thf(func_def_395, type, sK260: (list_Secrecy_KS > secrecy_Expression > secrecy_KS > (secrecy_Expression > secrecy_KS > $o) > list_S529945141ession > list_Secrecy_KS)).
% 13.97/2.29 thf(func_def_396, type, sK261: (list_Secrecy_KS > list_S529945141ession > (secrecy_Expression > secrecy_KS > $o) > secrecy_Expression)).
% 13.97/2.29 thf(func_def_397, type, sK262: (list_Secrecy_KS > list_S529945141ession > (secrecy_Expression > secrecy_KS > $o) > secrecy_KS)).
% 13.97/2.29 thf(func_def_398, type, sK263: (list_Secrecy_KS > list_S529945141ession > (secrecy_Expression > secrecy_KS > $o) > list_S529945141ession)).
% 13.97/2.29 thf(func_def_399, type, sK264: (list_S529945141ession > secrecy_Expression > secrecy_Expression > (secrecy_Expression > secrecy_Expression > $o) > list_S529945141ession > list_S529945141ession)).
% 13.97/2.29 thf(func_def_400, type, sK265: (list_S529945141ession > list_S529945141ession > (secrecy_Expression > secrecy_Expression > $o) > secrecy_Expression)).
% 13.97/2.29 thf(func_def_401, type, sK266: (list_S529945141ession > list_S529945141ession > (secrecy_Expression > secrecy_Expression > $o) > secrecy_Expression)).
% 13.97/2.29 thf(func_def_402, type, sK267: (list_S529945141ession > list_S529945141ession > (secrecy_Expression > secrecy_Expression > $o) > list_S529945141ession)).
% 13.97/2.29 thf(func_def_403, type, sK268: (list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS > secrecy_KS)).
% 13.97/2.29 thf(func_def_404, type, sK269: (list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS)).
% 13.97/2.29 thf(func_def_405, type, sK270: (list_S529945141ession > list_S529945141ession > list_S529945141ession > secrecy_Expression)).
% 13.97/2.29 thf(func_def_406, type, sK271: (list_S529945141ession > list_S529945141ession > list_S529945141ession > list_S529945141ession)).
% 13.97/2.29 thf(func_def_407, type, sK272: ((list_Secrecy_KS > $o) > secrecy_KS)).
% 13.97/2.29 thf(func_def_408, type, sK273: ((list_Secrecy_KS > $o) > list_Secrecy_KS)).
% 13.97/2.29 thf(func_def_409, type, sK274: ((list_Secrecy_KS > $o) > secrecy_KS)).
% 13.97/2.29 thf(func_def_410, type, sK275: ((list_S529945141ession > $o) > secrecy_Expression)).
% 13.97/2.29 thf(func_def_411, type, sK276: ((list_S529945141ession > $o) > list_S529945141ession)).
% 13.97/2.29 thf(func_def_412, type, sK277: ((list_S529945141ession > $o) > secrecy_Expression)).
% 13.97/2.29 thf(func_def_413, type, sK278: (list_Secrecy_KS > list_Secrecy_KS)).
% 13.97/2.29 thf(func_def_414, type, sK279: (list_Secrecy_KS > secrecy_KS)).
% 13.97/2.29 thf(func_def_415, type, sK280: (list_S529945141ession > list_S529945141ession)).
% 13.97/2.29 thf(func_def_416, type, sK281: (list_S529945141ession > secrecy_Expression)).
% 13.97/2.29 thf(func_def_417, type, sK282: ((list_Secrecy_KS > $o) > secrecy_KS)).
% 13.97/2.29 thf(func_def_418, type, sK283: ((list_Secrecy_KS > $o) > list_Secrecy_KS)).
% 13.97/2.29 thf(func_def_419, type, sK284: ((list_S529945141ession > $o) > secrecy_Expression)).
% 13.97/2.29 thf(func_def_420, type, sK285: ((list_S529945141ession > $o) > list_S529945141ession)).
% 13.97/2.29 thf(func_def_421, type, sK286: (list_l425507653ession > list_S529945141ession > list_S529945141ession > list_l425507653ession)).
% 13.97/2.29 thf(func_def_422, type, sK287: (list_l425507653ession > list_S529945141ession > list_S529945141ession > list_S529945141ession)).
% 13.97/2.29 thf(func_def_423, type, sK288: (list_l425507653ession > list_S529945141ession > list_S529945141ession > list_S529945141ession)).
% 13.97/2.29 thf(func_def_424, type, sK289: (list_l425507653ession > list_S529945141ession > list_S529945141ession > list_l425507653ession)).
% 13.97/2.29 thf(func_def_425, type, sK290: (list_S529945141ession > list_S529945141ession > list_S529945141ession)).
% 13.97/2.29 thf(func_def_426, type, sK291: (list_S529945141ession > list_S529945141ession > list_S529945141ession)).
% 13.97/2.29 thf(func_def_427, type, sK292: (list_S529945141ession > list_S529945141ession > list_S529945141ession)).
% 13.97/2.29 thf(func_def_428, type, sK293: (list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS)).
% 13.97/2.29 thf(func_def_429, type, sK294: (list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS)).
% 13.97/2.29 thf(func_def_430, type, sK295: (list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS)).
% 13.97/2.29 thf(func_def_431, type, sK296: (list_S529945141ession > list_S529945141ession > list_S529945141ession)).
% 13.97/2.29 thf(func_def_432, type, sK297: (list_S529945141ession > list_S529945141ession > list_S529945141ession)).
% 13.97/2.29 thf(func_def_433, type, sK298: (list_S529945141ession > list_S529945141ession > list_S529945141ession)).
% 13.97/2.29 thf(func_def_434, type, sK299: (list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS)).
% 13.97/2.29 thf(func_def_435, type, sK300: (list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS)).
% 13.97/2.29 thf(func_def_436, type, sK301: (list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS)).
% 13.97/2.29 thf(func_def_437, type, sK302: (list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS > secrecy_KS)).
% 13.97/2.29 thf(func_def_438, type, sK303: (list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS)).
% 13.97/2.29 thf(func_def_439, type, sK304: (list_Secrecy_KS > secrecy_KS > list_Secrecy_KS > list_Secrecy_KS > secrecy_KS)).
% 13.97/2.29 thf(func_def_440, type, sK305: (list_Secrecy_KS > secrecy_KS > list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS)).
% 13.97/2.29 thf(func_def_441, type, sK306: (list_Secrecy_KS > secrecy_KS > list_Secrecy_KS > list_Secrecy_KS > secrecy_KS)).
% 13.97/2.29 thf(func_def_442, type, sK307: (list_Secrecy_KS > secrecy_KS > list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS)).
% 13.97/2.29 thf(func_def_443, type, sK308: (list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS > secrecy_KS)).
% 13.97/2.29 thf(func_def_444, type, sK309: (list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS)).
% 13.97/2.29 thf(func_def_445, type, sK310: (list_S529945141ession > list_S529945141ession > list_S529945141ession > secrecy_Expression)).
% 13.97/2.29 thf(func_def_446, type, sK311: (list_S529945141ession > list_S529945141ession > list_S529945141ession > list_S529945141ession)).
% 13.97/2.29 thf(func_def_447, type, sK312: (list_S529945141ession > secrecy_Expression > list_S529945141ession > list_S529945141ession > secrecy_Expression)).
% 13.97/2.29 thf(func_def_448, type, sK313: (list_S529945141ession > secrecy_Expression > list_S529945141ession > list_S529945141ession > list_S529945141ession)).
% 13.97/2.29 thf(func_def_449, type, sK314: (list_S529945141ession > secrecy_Expression > list_S529945141ession > list_S529945141ession > secrecy_Expression)).
% 13.97/2.29 thf(func_def_450, type, sK315: (list_S529945141ession > secrecy_Expression > list_S529945141ession > list_S529945141ession > list_S529945141ession)).
% 13.97/2.29 thf(func_def_451, type, sK316: (list_S529945141ession > list_S529945141ession > list_S529945141ession > secrecy_Expression)).
% 13.97/2.29 thf(func_def_452, type, sK317: (list_S529945141ession > list_S529945141ession > list_S529945141ession > list_S529945141ession)).
% 13.97/2.29 thf(func_def_453, type, sK318: (list_Secrecy_KS > secrecy_KS)).
% 13.97/2.29 thf(func_def_454, type, sK319: ($o > list_Secrecy_KS > (secrecy_KS > secrecy_KS > $o) > secrecy_KS)).
% 13.97/2.29 thf(func_def_455, type, sK320: ($o > list_Secrecy_KS > (secrecy_KS > secrecy_KS > $o) > secrecy_KS)).
% 13.97/2.29 thf(func_def_456, type, sK321: ($o > list_Secrecy_KS > (secrecy_KS > secrecy_KS > $o) > list_Secrecy_KS)).
% 13.97/2.29 thf(func_def_457, type, sK322: (list_S529945141ession > secrecy_Expression)).
% 13.97/2.29 thf(func_def_458, type, sK323: ($o > list_S529945141ession > (secrecy_Expression > secrecy_Expression > $o) > secrecy_Expression)).
% 13.97/2.29 thf(func_def_459, type, sK324: ($o > list_S529945141ession > (secrecy_Expression > secrecy_Expression > $o) > secrecy_Expression)).
% 13.97/2.29 thf(func_def_460, type, sK325: ($o > list_S529945141ession > (secrecy_Expression > secrecy_Expression > $o) > list_S529945141ession)).
% 13.97/2.29 thf(func_def_461, type, sK326: (list_Secrecy_KS > (secrecy_KS > secrecy_KS > $o) > secrecy_KS)).
% 13.97/2.29 thf(func_def_462, type, sK327: (list_Secrecy_KS > (secrecy_KS > secrecy_KS > $o) > secrecy_KS)).
% 13.97/2.29 thf(func_def_463, type, sK328: (list_Secrecy_KS > (secrecy_KS > secrecy_KS > $o) > list_Secrecy_KS)).
% 13.97/2.29 thf(func_def_464, type, sK329: (list_Secrecy_KS > secrecy_KS)).
% 13.97/2.29 thf(func_def_465, type, sK330: (list_S529945141ession > (secrecy_Expression > secrecy_Expression > $o) > secrecy_Expression)).
% 13.97/2.29 thf(func_def_466, type, sK331: (list_S529945141ession > (secrecy_Expression > secrecy_Expression > $o) > secrecy_Expression)).
% 13.97/2.29 thf(func_def_467, type, sK332: (list_S529945141ession > (secrecy_Expression > secrecy_Expression > $o) > list_S529945141ession)).
% 13.97/2.29 thf(func_def_468, type, sK333: (list_S529945141ession > secrecy_Expression)).
% 13.97/2.29 thf(func_def_469, type, sK334: (list_S529945141ession > (secrecy_Expression > secrecy_Expression > $o) > secrecy_Expression)).
% 13.97/2.29 thf(func_def_470, type, sK335: (list_S529945141ession > (secrecy_Expression > secrecy_Expression > $o) > secrecy_Expression)).
% 13.97/2.29 thf(func_def_471, type, sK336: (list_S529945141ession > (secrecy_Expression > secrecy_Expression > $o) > list_S529945141ession)).
% 13.97/2.29 thf(func_def_472, type, sK337: (list_Secrecy_KS > list_Secrecy_KS > secrecy_KS)).
% 13.97/2.29 thf(func_def_473, type, sK338: (list_Secrecy_KS > list_Secrecy_KS > secrecy_KS)).
% 13.97/2.29 thf(func_def_474, type, sK339: (list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS)).
% 13.97/2.29 thf(func_def_475, type, sK340: (list_Secrecy_KS > list_Secrecy_KS > secrecy_KS)).
% 13.97/2.29 thf(func_def_476, type, sK341: (list_S529945141ession > list_S529945141ession > secrecy_Expression)).
% 13.97/2.29 thf(func_def_477, type, sK342: (list_S529945141ession > list_S529945141ession > secrecy_Expression)).
% 13.97/2.29 thf(func_def_478, type, sK343: (list_S529945141ession > list_S529945141ession > list_S529945141ession)).
% 13.97/2.29 thf(func_def_479, type, sK344: (list_S529945141ession > list_S529945141ession > secrecy_Expression)).
% 13.97/2.29 thf(func_def_480, type, sK345: (list_S529945141ession > secrecy_Expression)).
% 13.97/2.29 thf(func_def_481, type, sK346: (list_Secrecy_KS > secrecy_KS)).
% 13.97/2.29 thf(func_def_482, type, sK347: (list_S529945141ession > secrecy_Expression)).
% 13.97/2.29 thf(func_def_483, type, sK348: (list_Secrecy_KS > secrecy_KS)).
% 13.97/2.29 thf(func_def_484, type, sK349: (list_Secrecy_KS > list_list_Secrecy_KS > list_Secrecy_KS > list_list_Secrecy_KS)).
% 13.97/2.29 thf(func_def_485, type, sK350: (list_Secrecy_KS > list_list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS)).
% 13.97/2.29 thf(func_def_486, type, sK351: (list_Secrecy_KS > list_list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS)).
% 13.97/2.29 thf(func_def_487, type, sK352: (list_Secrecy_KS > list_list_Secrecy_KS > list_Secrecy_KS > list_list_Secrecy_KS)).
% 13.97/2.29 thf(func_def_488, type, sK353: (list_S529945141ession > list_l425507653ession > list_S529945141ession > list_l425507653ession)).
% 13.97/2.29 thf(func_def_489, type, sK354: (list_S529945141ession > list_l425507653ession > list_S529945141ession > list_S529945141ession)).
% 13.97/2.29 thf(func_def_490, type, sK355: (list_S529945141ession > list_l425507653ession > list_S529945141ession > list_S529945141ession)).
% 13.97/2.29 thf(func_def_491, type, sK356: (list_S529945141ession > list_l425507653ession > list_S529945141ession > list_l425507653ession)).
% 13.97/2.29 thf(func_def_492, type, sK357: (list_S529945141ession > list_S529945141ession > secrecy_Expression > list_S529945141ession > list_S529945141ession)).
% 13.97/2.29 thf(func_def_493, type, sK358: (list_Secrecy_KS > list_Secrecy_KS > secrecy_KS > list_Secrecy_KS > list_Secrecy_KS)).
% 13.97/2.29 thf(func_def_494, type, sK359: (list_S529945141ession > list_S529945141ession > list_S529945141ession > secrecy_Expression > list_S529945141ession)).
% 13.97/2.29 thf(func_def_495, type, sK360: (list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS > secrecy_KS > list_Secrecy_KS)).
% 13.97/2.29 thf(func_def_496, type, sK361: (secrecy_Expression > secrecy_specID > list_S529945141ession > secrecy_Secrets)).
% 13.97/2.29 thf(func_def_497, type, sK362: (secrecy_Expression > secrecy_specID > list_S529945141ession > secrecy_Keys)).
% 13.97/2.29 thf(func_def_498, type, sK363: (secrecy_Expression > secrecy_specID > list_S529945141ession > secrecy_Secrets)).
% 13.97/2.29 thf(func_def_499, type, sK364: (secrecy_Expression > secrecy_specID > list_S529945141ession > secrecy_Keys)).
% 13.97/2.29 thf(func_def_500, type, sK365: (list_S529945141ession > list_S529945141ession > list_S529945141ession > list_S529945141ession > list_S529945141ession)).
% 13.97/2.29 thf(func_def_501, type, sK366: (secrecy_Expression > secrecy_specID > list_S529945141ession > secrecy_Secrets)).
% 13.97/2.29 thf(func_def_502, type, sK367: (secrecy_Expression > secrecy_specID > list_S529945141ession > secrecy_Keys)).
% 13.97/2.29 thf(func_def_503, type, sK368: (secrecy_Expression > secrecy_specID > list_S529945141ession > secrecy_Secrets)).
% 13.97/2.29 thf(func_def_504, type, sK369: (secrecy_Expression > secrecy_specID > list_S529945141ession > secrecy_Keys)).
% 13.97/2.29 thf(func_def_505, type, sK370: (secrecy_Expression > secrecy_specID > secrecy_Secrets)).
% 13.97/2.29 thf(func_def_506, type, sK371: (secrecy_Expression > secrecy_specID > secrecy_Keys)).
% 13.97/2.29 thf(func_def_507, type, sK372: (secrecy_Expression > secrecy_specID > secrecy_Secrets)).
% 13.97/2.29 thf(func_def_508, type, sK373: (secrecy_Expression > secrecy_specID > secrecy_Keys)).
% 13.97/2.29 thf(func_def_509, type, sK374: (list_S529945141ession > list_S529945141ession)).
% 13.97/2.29 thf(func_def_510, type, sK375: (list_S529945141ession > secrecy_Expression)).
% 13.97/2.29 thf(func_def_511, type, sK376: (list_Secrecy_KS > list_Secrecy_KS)).
% 13.97/2.29 thf(func_def_512, type, sK377: (list_Secrecy_KS > secrecy_KS)).
% 13.97/2.29 thf(f1,axiom,(
% 13.97/2.29 (knowle731562421_knows @ a @ (cons_S112077679ession @ (secrecy_sE @ m) @ nil_Se901661471ession))),
% 13.97/2.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_assms)).
% 13.97/2.29 thf(f4,axiom,(
% 13.97/2.29 ! [X0 : secrecy_specID,X1 : secrecy_Secrets] : (((knowle731562421_knows @ X0 @ (cons_S112077679ession @ (secrec1016742679ession @ (secrecy_sKS @ X1)) @ nil_Se901661471ession))) = ((knowle945212990e_know @ X0 @ (secrecy_sKS @ X1))))),
% 13.97/2.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_know1s)).
% 13.97/2.29 thf(f8,axiom,(
% 13.97/2.29 ! [X0 : secrecy_Secrets] : (((secrec1016742679ession @ (secrecy_sKS @ X0))) = ((secrecy_sE @ X0)))),
% 13.97/2.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7_KS2Expression_Osimps_I2_J)).
% 13.97/2.29 thf(f353,conjecture,(
% 13.97/2.29 (knowle945212990e_know @ a @ (secrecy_sKS @ m))),
% 13.97/2.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 13.97/2.29 thf(f354,negated_conjecture,(
% 13.97/2.29 ~(knowle945212990e_know @ a @ (secrecy_sKS @ m))),
% 13.97/2.29 inference(negated_conjecture,[status(cth)],[f353])).
% 13.97/2.29 thf(f355,plain,(
% 13.97/2.29 (knowle731562421_knows @ a @ (cons_S112077679ession @ (secrecy_sE @ m) @ nil_Se901661471ession))),
% 13.97/2.29 inference(rectify,[],[f1])).
% 13.97/2.29 thf(f356,plain,(
% 13.97/2.29 (((knowle731562421_knows @ a @ (cons_S112077679ession @ (secrecy_sE @ m) @ nil_Se901661471ession))) = $true)),
% 13.97/2.29 inference(fool_elimination,[],[f355])).
% 13.97/2.29 thf(f709,plain,(
% 13.97/2.29 ~(knowle945212990e_know @ a @ (secrecy_sKS @ m))),
% 13.97/2.29 inference(rectify,[],[f354])).
% 13.97/2.29 thf(f710,plain,(
% 13.97/2.29 ~ (((knowle945212990e_know @ a @ (secrecy_sKS @ m))) = $true)),
% 13.97/2.29 inference(fool_elimination,[],[f709])).
% 13.97/2.29 thf(f741,plain,(
% 13.97/2.29 (((knowle945212990e_know @ a @ (secrecy_sKS @ m))) != $true)),
% 13.97/2.29 inference(flattening,[],[f710])).
% 13.97/2.29 thf(f1329,plain,(
% 13.97/2.29 (((knowle731562421_knows @ a @ (cons_S112077679ession @ (secrecy_sE @ m) @ nil_Se901661471ession))) = $true)),
% 13.97/2.29 inference(cnf_transformation,[],[f356])).
% 13.97/2.29 thf(f1332,plain,(
% 13.97/2.29 ( ! [X0 : secrecy_specID,X1 : secrecy_Secrets] : ((((knowle945212990e_know @ X0 @ (secrecy_sKS @ X1))) = ((knowle731562421_knows @ X0 @ (cons_S112077679ession @ (secrec1016742679ession @ (secrecy_sKS @ X1)) @ nil_Se901661471ession))))) )),
% 13.97/2.29 inference(cnf_transformation,[],[f4])).
% 13.97/2.29 thf(f1336,plain,(
% 13.97/2.29 ( ! [X0 : secrecy_Secrets] : ((((secrec1016742679ession @ (secrecy_sKS @ X0))) = ((secrecy_sE @ X0)))) )),
% 13.97/2.29 inference(cnf_transformation,[],[f8])).
% 13.97/2.29 thf(f1905,plain,(
% 13.97/2.29 (((knowle945212990e_know @ a @ (secrecy_sKS @ m))) != $true)),
% 13.97/2.29 inference(cnf_transformation,[],[f741])).
% 13.97/2.29 thf(f1907,definition,(
% 13.97/2.29 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 13.97/2.29 introduced(theory,[fool_exhaustiveness_axiom])).
% 13.97/2.29 thf(f3163,plain,(
% 13.97/2.29 ( ! [X0 : secrecy_specID,X1 : secrecy_Secrets] : ((((knowle945212990e_know @ X0 @ (secrecy_sKS @ X1))) = $true) | (((knowle731562421_knows @ X0 @ (cons_S112077679ession @ (secrec1016742679ession @ (secrecy_sKS @ X1)) @ nil_Se901661471ession))) = $false)) )),
% 13.97/2.29 inference(iff_proxy_clausification,[],[f1332])).
% 13.97/2.29 thf(f3193,plain,(
% 13.97/2.29 ( ! [X0 : secrecy_specID,X1 : secrecy_Secrets] : ((((knowle731562421_knows @ X0 @ (cons_S112077679ession @ (secrecy_sE @ X1) @ nil_Se901661471ession))) = $false) | (((knowle945212990e_know @ X0 @ (secrecy_sKS @ X1))) = $true)) )),
% 13.97/2.29 inference(forward_demodulation,[],[f3163,f1336])).
% 13.97/2.29 thf(f3202,plain,(
% 13.97/2.29 ($true != $true) | (((knowle945212990e_know @ a @ (secrecy_sKS @ m))) = $false)),
% 13.97/2.29 inference(constrained_superposition,[],[f1905,f1907])).
% 13.97/2.29 thf(f3204,plain,(
% 13.97/2.29 (((knowle945212990e_know @ a @ (secrecy_sKS @ m))) = $false)),
% 13.97/2.29 inference(trivial_inequality_removal,[],[f3202])).
% 13.97/2.29 thf(f9354,plain,(
% 13.97/2.29 ($true = $false) | (((knowle945212990e_know @ a @ (secrecy_sKS @ m))) = $true)),
% 13.97/2.29 inference(constrained_superposition,[],[f1329,f3193])).
% 13.97/2.29 thf(f9374,plain,(
% 13.97/2.29 (((knowle945212990e_know @ a @ (secrecy_sKS @ m))) = $true)),
% 13.97/2.29 inference(trivial_inequality_removal,[],[f9354])).
% 13.97/2.29 thf(f9413,plain,(
% 13.97/2.29 ($true = $false)),
% 13.97/2.29 inference(forward_demodulation,[],[f9374,f3204])).
% 13.97/2.29 thf(f9414,plain,(
% 13.97/2.29 $false),
% 13.97/2.29 inference(trivial_inequality_removal,[],[f9413])).
% 13.97/2.29 % SZS output end Proof for theBenchmark
% 13.97/2.29 % (4027326)------------------------------
% 13.97/2.29 % (4027326)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.97/2.29 % (4027326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.97/2.29 % (4027326)CaDiCaL version: 2.1.3
% 13.97/2.29 % (4027326)Termination reason: Refutation
% 13.97/2.29 % (4027326)Time elapsed: 0.926 s
% 13.97/2.29 % (4027326)Peak memory usage: 27 MB
% 13.97/2.29 % (4027326)Instructions burned: 2052 (million)
% 13.97/2.29 % (4027150)Success in time 2.066 s
% 13.97/2.29 % Vampire exiting
%------------------------------------------------------------------------------