%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP085^2 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 08:08:16 AM UTC 2026
% Result : Theorem 0.84s 0.51s
% Output : Refutation 0.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP085^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.22 % Computer : n026.cluster.edu
% 0.10/0.22 % Model : x86_64 x86_64
% 0.10/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.22 % Memory : 8046.5625MB
% 0.10/0.22 % OS : Linux 6.8.0-71-generic
% 0.10/0.22 % CPULimit : 300
% 0.10/0.22 % WCLimit : 300
% 0.10/0.22 % DateTime : Tue Sep 29 19:53:13 UTC 2026
% 0.10/0.23 % CPUTime :
% 0.10/0.23 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.20/0.26 Running higher-order theorem proving
% 0.20/0.32 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.84/0.47 % (1097786)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.84/0.47 % (1097801)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=865258403:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.84/0.47 % (1097807)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.84/0.47 % (1097807)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.84/0.47 % (1097802)lrs+10_16_si=on:nwc=1.5:random_seed=1973047526:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.84/0.47 % (1097803)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3703056507:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.84/0.47 % (1097805)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1310424705:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.84/0.47 % (1097804)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=1191309381:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.84/0.47 % (1097806)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3444628239:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.84/0.47 % (1097807)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=2142950242:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.84/0.47 % (1097803)Instruction limit reached!
% 0.84/0.47 % (1097803)------------------------------
% 0.84/0.47 % (1097803)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.47 % (1097803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.47 % (1097803)CaDiCaL version: 2.1.3
% 0.84/0.47 % (1097803)Termination reason: Instruction limit
% 0.84/0.47 % (1097803)Termination phase: shuffling
% 0.84/0.47 % (1097803)Time elapsed: 0.002 s
% 0.84/0.47 % (1097803)Peak memory usage: 10 MB
% 0.84/0.47 % (1097803)Instructions burned: 3 (million)
% 0.84/0.47 % (1097802)Instruction limit reached!
% 0.84/0.47 % (1097802)------------------------------
% 0.84/0.47 % (1097802)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.47 % (1097802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.47 % (1097802)CaDiCaL version: 2.1.3
% 0.84/0.47 % (1097802)Termination reason: Instruction limit
% 0.84/0.47 % (1097802)Termination phase: Property scanning
% 0.84/0.47 % (1097802)Time elapsed: 0.009 s
% 0.84/0.47 % (1097802)Peak memory usage: 10 MB
% 0.84/0.47 % (1097802)Instructions burned: 19 (million)
% 0.84/0.47 % (1097805)Instruction limit reached!
% 0.84/0.47 % (1097805)------------------------------
% 0.84/0.47 % (1097805)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.47 % (1097805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.47 % (1097805)CaDiCaL version: 2.1.3
% 0.84/0.47 % (1097805)Termination reason: Instruction limit
% 0.84/0.47 % (1097805)Termination phase: Property scanning
% 0.84/0.47 % (1097805)Time elapsed: 0.012 s
% 0.84/0.47 % (1097805)Peak memory usage: 10 MB
% 0.84/0.47 % (1097805)Instructions burned: 25 (million)
% 0.84/0.47 % (1097801)Instruction limit reached!
% 0.84/0.47 % (1097801)------------------------------
% 0.84/0.47 % (1097801)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.47 % (1097801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.47 % (1097801)CaDiCaL version: 2.1.3
% 0.84/0.47 % (1097801)Termination reason: Instruction limit
% 0.84/0.47 % (1097801)Termination phase: Property scanning
% 0.84/0.47 % (1097801)Time elapsed: 0.023 s
% 0.84/0.47 % (1097801)Peak memory usage: 12 MB
% 0.84/0.47 % (1097801)Instructions burned: 90 (million)
% 0.84/0.47 % (1097819)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2288428268:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.84/0.47 % (1097819)Instruction limit reached!
% 0.84/0.47 % (1097819)------------------------------
% 0.84/0.47 % (1097819)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.51 % (1097819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.51 % (1097819)CaDiCaL version: 2.1.3
% 0.84/0.51 % (1097819)Termination reason: Instruction limit
% 0.84/0.51 % (1097819)Termination phase: shuffling
% 0.84/0.51 % (1097819)Time elapsed: 0.002 s
% 0.84/0.51 % (1097819)Peak memory usage: 10 MB
% 0.84/0.51 % (1097819)Instructions burned: 3 (million)
% 0.84/0.51 % (1097825)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3337953633:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.84/0.51 % (1097824)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.84/0.51 % (1097822)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3681721487:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.84/0.51 % (1097825)Instruction limit reached!
% 0.84/0.51 % (1097825)------------------------------
% 0.84/0.51 % (1097825)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.51 % (1097825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.51 % (1097825)CaDiCaL version: 2.1.3
% 0.84/0.51 % (1097825)Termination reason: Instruction limit
% 0.84/0.51 % (1097825)Termination phase: shuffling
% 0.84/0.51 % (1097825)Time elapsed: 0.004 s
% 0.84/0.51 % (1097825)Peak memory usage: 10 MB
% 0.84/0.51 % (1097825)Instructions burned: 16 (million)
% 0.84/0.51 % (1097824)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3014744074:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.84/0.51 % (1097822)Instruction limit reached!
% 0.84/0.51 % (1097822)------------------------------
% 0.84/0.51 % (1097822)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.51 % (1097822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.51 % (1097822)CaDiCaL version: 2.1.3
% 0.84/0.51 % (1097822)Termination reason: Instruction limit
% 0.84/0.51 % (1097822)Termination phase: shuffling
% 0.84/0.51 % (1097822)Time elapsed: 0.003 s
% 0.84/0.51 % (1097822)Peak memory usage: 10 MB
% 0.84/0.51 % (1097822)Instructions burned: 5 (million)
% 0.84/0.51 % (1097824)Instruction limit reached!
% 0.84/0.51 % (1097824)------------------------------
% 0.84/0.51 % (1097824)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.51 % (1097824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.51 % (1097824)CaDiCaL version: 2.1.3
% 0.84/0.51 % (1097824)Termination reason: Instruction limit
% 0.84/0.51 % (1097824)Termination phase: shuffling
% 0.84/0.51 % (1097824)Time elapsed: 0.004 s
% 0.84/0.51 % (1097824)Peak memory usage: 10 MB
% 0.84/0.51 % (1097824)Instructions burned: 8 (million)
% 0.84/0.51 % (1097806)Instruction limit reached!
% 0.84/0.51 % (1097806)------------------------------
% 0.84/0.51 % (1097806)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.51 % (1097806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.51 % (1097806)CaDiCaL version: 2.1.3
% 0.84/0.51 % (1097806)Termination reason: Instruction limit
% 0.84/0.51 % (1097806)Termination phase: Property scanning
% 0.84/0.51 % (1097806)Time elapsed: 0.037 s
% 0.84/0.51 % (1097806)Peak memory usage: 12 MB
% 0.84/0.51 % (1097806)Instructions burned: 76 (million)
% 0.84/0.51 % (1097829)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.84/0.51 % (1097829)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.84/0.51 % (1097833)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=1989866766:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.84/0.51 % (1097829)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3531646120:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.84/0.51 % (1097835)lrs+10_1_si=on:cs=on:random_seed=4220533500:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.84/0.51 % (1097837)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.84/0.51 % (1097837)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=230822822:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.84/0.51 % (1097835)Instruction limit reached!
% 0.84/0.51 % (1097835)------------------------------
% 0.84/0.51 % (1097835)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.51 % (1097835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.51 % (1097835)CaDiCaL version: 2.1.3
% 0.84/0.51 % (1097835)Termination reason: Instruction limit
% 0.84/0.51 % (1097835)Termination phase: shuffling
% 0.84/0.51 % (1097835)Time elapsed: 0.005 s
% 0.84/0.51 % (1097835)Peak memory usage: 10 MB
% 0.84/0.51 % (1097835)Instructions burned: 9 (million)
% 0.84/0.51 % (1097837)Instruction limit reached!
% 0.84/0.51 % (1097837)------------------------------
% 0.84/0.51 % (1097837)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.51 % (1097837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.51 % (1097837)CaDiCaL version: 2.1.3
% 0.84/0.51 % (1097837)Termination reason: Instruction limit
% 0.84/0.51 % (1097837)Termination phase: shuffling
% 0.84/0.51 % (1097837)Time elapsed: 0.001 s
% 0.84/0.51 % (1097838)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1301237936:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.84/0.51 % (1097837)Peak memory usage: 10 MB
% 0.84/0.51 % (1097837)Instructions burned: 3 (million)
% 0.84/0.51 % (1097829)Instruction limit reached!
% 0.84/0.51 % (1097829)------------------------------
% 0.84/0.51 % (1097829)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.51 % (1097829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.51 % (1097829)CaDiCaL version: 2.1.3
% 0.84/0.51 % (1097829)Termination reason: Instruction limit
% 0.84/0.51 % (1097829)Termination phase: shuffling
% 0.84/0.51 % (1097829)Time elapsed: 0.014 s
% 0.84/0.51 % (1097829)Peak memory usage: 10 MB
% 0.84/0.51 % (1097829)Instructions burned: 29 (million)
% 0.84/0.51 % (1097833)Instruction limit reached!
% 0.84/0.51 % (1097833)------------------------------
% 0.84/0.51 % (1097833)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.51 % (1097833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.51 % (1097833)CaDiCaL version: 2.1.3
% 0.84/0.51 % (1097833)Termination reason: Instruction limit
% 0.84/0.51 % (1097833)Termination phase: Preprocessing 3
% 0.84/0.51 % (1097833)Time elapsed: 0.020 s
% 0.84/0.51 % (1097833)Peak memory usage: 11 MB
% 0.84/0.51 % (1097833)Instructions burned: 90 (million)
% 0.84/0.51 % (1097851)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1749489416:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.84/0.51 % (1097838)Instruction limit reached!
% 0.84/0.51 % (1097838)------------------------------
% 0.84/0.51 % (1097838)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.51 % (1097838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.51 % (1097838)CaDiCaL version: 2.1.3
% 0.84/0.51 % (1097838)Termination reason: Instruction limit
% 0.84/0.51 % (1097838)Termination phase: Preprocessing 3
% 0.84/0.51 % (1097838)Time elapsed: 0.019 s
% 0.84/0.51 % (1097838)Peak memory usage: 11 MB
% 0.84/0.51 % (1097838)Instructions burned: 39 (million)
% 0.84/0.51 % (1097807)Instruction limit reached!
% 0.84/0.51 % (1097807)------------------------------
% 0.84/0.51 % (1097807)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.51 % (1097807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.51 % (1097807)CaDiCaL version: 2.1.3
% 0.84/0.51 % (1097807)Termination reason: Instruction limit
% 0.84/0.51 % (1097807)Termination phase: Saturation
% 0.84/0.51 % (1097807)Time elapsed: 0.077 s
% 0.84/0.51 % (1097807)Peak memory usage: 13 MB
% 0.84/0.51 % (1097807)Instructions burned: 159 (million)
% 0.84/0.51 % (1097846)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3155932976:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.84/0.51 % (1097849)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1312739222:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.84/0.51 % (1097850)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1500626867:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.84/0.51 % (1097850)Instruction limit reached!
% 0.84/0.51 % (1097850)------------------------------
% 0.84/0.51 % (1097850)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.51 % (1097850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.51 % (1097850)CaDiCaL version: 2.1.3
% 0.84/0.51 % (1097850)Termination reason: Instruction limit
% 0.84/0.51 % (1097850)Termination phase: shuffling
% 0.84/0.51 % (1097850)Time elapsed: 0.007 s
% 0.84/0.51 % (1097850)Peak memory usage: 10 MB
% 0.84/0.51 % (1097850)Instructions burned: 15 (million)
% 0.84/0.51 % (1097849)Instruction limit reached!
% 0.84/0.51 % (1097849)------------------------------
% 0.84/0.51 % (1097849)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.51 % (1097849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.51 % (1097849)CaDiCaL version: 2.1.3
% 0.84/0.51 % (1097849)Termination reason: Instruction limit
% 0.84/0.51 % (1097849)Termination phase: Property scanning
% 0.84/0.51 % (1097849)Time elapsed: 0.012 s
% 0.84/0.51 % (1097849)Peak memory usage: 10 MB
% 0.84/0.51 % (1097849)Instructions burned: 25 (million)
% 0.84/0.51 % (1097856)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=4238433465:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.84/0.51 % (1097860)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2572038426:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.84/0.51 % (1097860)Instruction limit reached!
% 0.84/0.51 % (1097860)------------------------------
% 0.84/0.51 % (1097860)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.51 % (1097860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.51 % (1097860)CaDiCaL version: 2.1.3
% 0.84/0.51 % (1097860)Termination reason: Instruction limit
% 0.84/0.51 % (1097860)Termination phase: shuffling
% 0.84/0.51 % (1097860)Time elapsed: 0.002 s
% 0.84/0.51 % (1097860)Peak memory usage: 10 MB
% 0.84/0.51 % (1097860)Instructions burned: 3 (million)
% 0.84/0.51 % (1097856)Instruction limit reached!
% 0.84/0.51 % (1097856)------------------------------
% 0.84/0.51 % (1097856)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.51 % (1097856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.51 % (1097856)CaDiCaL version: 2.1.3
% 0.84/0.51 % (1097856)Termination reason: Instruction limit
% 0.84/0.51 % (1097856)Termination phase: shuffling
% 0.84/0.51 % (1097856)Time elapsed: 0.007 s
% 0.84/0.51 % (1097856)Peak memory usage: 10 MB
% 0.84/0.51 % (1097856)Instructions burned: 15 (million)
% 0.84/0.51 % (1097846)Refutation not found, incomplete strategy
% 0.84/0.51 % (1097846)------------------------------
% 0.84/0.51 % (1097846)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.51 % (1097846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.51 % (1097846)CaDiCaL version: 2.1.3
% 0.84/0.51 % (1097846)Termination reason: Refutation not found, incomplete strategy
% 0.84/0.51 % (1097846)Time elapsed: 0.028 s
% 0.84/0.51 % (1097846)Peak memory usage: 13 MB
% 0.84/0.51 % (1097846)Instructions burned: 56 (million)
% 0.84/0.51 % (1097863)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2078264635:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.84/0.51 % (1097846)------------------------------
% 0.84/0.51 % (1097846)------------------------------
% 0.84/0.51 % (1097864)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=4024896228:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.84/0.51 % (1097804) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1097786-1097804"...
% 0.84/0.51 % (1097804)...printing done.
% 0.84/0.51 % (1097804)Refutation found. Thanks to Tanya!
% 0.84/0.51 % SZS status Theorem for theBenchmark
% 0.84/0.51 % SZS output start Proof for theBenchmark
% 0.84/0.51 thf(type_def_5, type, secrecy_Expression: $tType).
% 0.84/0.51 thf(type_def_6, type, secrecy_Secrets: $tType).
% 0.84/0.51 thf(type_def_7, type, secrecy_specID: $tType).
% 0.84/0.51 thf(type_def_8, type, secrecy_Keys: $tType).
% 0.84/0.51 thf(type_def_9, type, secrecy_KS: $tType).
% 0.84/0.51 thf(type_def_10, type, list: $tType > $tType).
% 0.84/0.51 thf(type_def_11, type, set: $tType > $tType).
% 0.84/0.51 thf(type_def_12, type, sTfun: ($tType * $tType) > $tType).
% 0.84/0.51 thf(func_def_0, type, type: !>[X0: $tType]:($o)).
% 0.84/0.51 thf(func_def_1, type, ord: !>[X0: $tType]:($o)).
% 0.84/0.51 thf(func_def_2, type, linorder: !>[X0: $tType]:($o)).
% 0.84/0.51 thf(func_def_3, type, bNF_Greatest_Shift: !>[X0: $tType]:((set @ list @ X0 > X0 > set @ list @ X0))).
% 0.84/0.51 thf(func_def_4, type, bNF_Greatest_Succ: !>[X0: $tType]:((set @ list @ X0 > list @ X0 > set @ X0))).
% 0.84/0.51 thf(func_def_5, type, bNF_Greatest_shift: !>[X0: $tType, X1: $tType]:(((list @ X0 > X1) > X0 > list @ X0 > X1))).
% 0.84/0.51 thf(func_def_6, type, localSecrets: (secrecy_specID > set @ secrecy_KS)).
% 0.84/0.51 thf(func_def_7, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 0.84/0.51 thf(func_def_8, type, knowle1667810483orrect: (secrecy_specID > secrecy_KS > $o)).
% 0.84/0.51 thf(func_def_9, type, knowle1893229345orrect: (secrecy_specID > secrecy_Expression > $o)).
% 0.84/0.51 thf(func_def_10, type, knowle1437066798e_know: (secrecy_specID > secrecy_KS > $o)).
% 0.84/0.51 thf(func_def_11, type, knowle2055185861_knows: (secrecy_specID > list @ secrecy_Expression > $o)).
% 0.84/0.51 thf(func_def_12, type, mem: !>[X0: $tType]:((X0 > list @ X0 > $o))).
% 0.84/0.51 thf(func_def_13, type, append: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 0.84/0.51 thf(func_def_14, type, arg_min_list: !>[X0: $tType, X1: $tType]:(((X0 > X1) > list @ X0 > X0))).
% 0.84/0.51 thf(func_def_15, type, bind: !>[X0: $tType, X1: $tType]:((list @ X0 > (X0 > list @ X1) > list @ X1))).
% 0.84/0.51 thf(func_def_16, type, butlast: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.84/0.51 thf(func_def_17, type, concat: !>[X0: $tType]:((list @ list @ X0 > list @ X0))).
% 0.84/0.51 thf(func_def_18, type, distinct_adj: !>[X0: $tType]:((list @ X0 > $o))).
% 0.84/0.51 thf(func_def_19, type, foldr: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > list @ X0 > X1 > X1))).
% 0.84/0.51 thf(func_def_20, type, insert: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 0.84/0.51 thf(func_def_21, type, last: !>[X0: $tType]:((list @ X0 > X0))).
% 0.84/0.51 thf(func_def_22, type, cons: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 0.84/0.51 thf(func_def_23, type, nil: !>[X0: $tType]:(list @ X0)).
% 0.84/0.51 thf(func_def_24, type, case_list: !>[X0: $tType, X1: $tType]:((X0 > (X1 > list @ X1 > X0) > list @ X1 > X0))).
% 0.84/0.51 thf(func_def_25, type, hd: !>[X0: $tType]:((list @ X0 > X0))).
% 0.84/0.51 thf(func_def_26, type, tl: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.84/0.51 thf(func_def_27, type, list_ex1: !>[X0: $tType]:(((X0 > $o) > list @ X0 > $o))).
% 0.84/0.51 thf(func_def_28, type, listrelp: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > list @ X0 > list @ X1 > $o))).
% 0.84/0.51 thf(func_def_29, type, map_tailrec: !>[X0: $tType, X1: $tType]:(((X0 > X1) > list @ X0 > list @ X1))).
% 0.84/0.51 thf(func_def_30, type, map_tailrec_rev: !>[X0: $tType, X1: $tType]:(((X0 > X1) > list @ X0 > list @ X1 > list @ X1))).
% 0.84/0.51 thf(func_def_31, type, maps: !>[X0: $tType, X1: $tType]:(((X0 > list @ X1) > list @ X0 > list @ X1))).
% 0.84/0.51 thf(func_def_32, type, member: !>[X0: $tType]:((list @ X0 > X0 > $o))).
% 0.84/0.51 thf(func_def_33, type, lexordp_eq: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ X0 > $o))).
% 0.84/0.51 thf(func_def_34, type, ord_lexordp_eq: !>[X0: $tType]:((list @ X0 > list @ X0 > $o))).
% 0.84/0.51 thf(func_def_35, type, product_lists: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 0.84/0.51 thf(func_def_36, type, remdups_adj: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.84/0.51 thf(func_def_37, type, rev: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.84/0.51 thf(func_def_38, type, rotate1: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.84/0.51 thf(func_def_39, type, shuffles: !>[X0: $tType]:((list @ X0 > list @ X0 > set @ list @ X0))).
% 0.84/0.51 thf(func_def_40, type, splice: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 0.84/0.51 thf(func_def_41, type, subseqs: !>[X0: $tType]:((list @ X0 > list @ list @ X0))).
% 0.84/0.51 thf(func_def_42, type, successively: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > $o))).
% 0.84/0.51 thf(func_def_43, type, ord_less: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.84/0.51 thf(func_def_44, type, decr: (secrecy_Keys > list @ secrecy_Expression > list @ secrecy_Expression)).
% 0.84/0.51 thf(func_def_45, type, enc: (secrecy_Keys > list @ secrecy_Expression > list @ secrecy_Expression)).
% 0.84/0.51 thf(func_def_46, type, encrDecrKeys: (secrecy_Keys > secrecy_Keys > $o)).
% 0.84/0.51 thf(func_def_47, type, ext: (secrecy_Keys > list @ secrecy_Expression > list @ secrecy_Expression)).
% 0.84/0.51 thf(func_def_48, type, sign: (secrecy_Keys > list @ secrecy_Expression > list @ secrecy_Expression)).
% 0.84/0.51 thf(func_def_49, type, eout: (secrecy_specID > secrecy_Expression > $o)).
% 0.84/0.51 thf(func_def_50, type, ine: (secrecy_specID > secrecy_Expression > $o)).
% 0.84/0.51 thf(func_def_51, type, notSpe1586871396tsExpr: (secrecy_specID > list @ secrecy_Expression > $o)).
% 0.84/0.51 thf(func_def_52, type, specKeys: (secrecy_specID > set @ secrecy_Keys)).
% 0.84/0.51 thf(func_def_53, type, specKeysSecrets: (secrecy_specID > set @ secrecy_KS)).
% 0.84/0.51 thf(func_def_54, type, specSecrets: (secrecy_specID > set @ secrecy_Secrets)).
% 0.84/0.51 thf(func_def_55, type, secrec1371625429on2KSL: (list @ secrecy_Expression > list @ secrecy_KS)).
% 0.84/0.51 thf(func_def_56, type, secrecy_kE: (secrecy_Keys > secrecy_Expression)).
% 0.84/0.51 thf(func_def_57, type, secrecy_sE: (secrecy_Secrets > secrecy_Expression)).
% 0.84/0.51 thf(func_def_58, type, secrec1016742679ession: (secrecy_KS > secrecy_Expression)).
% 0.84/0.51 thf(func_def_59, type, secrecy_case_KS: !>[X0: $tType]:(((secrecy_Keys > X0) > (secrecy_Secrets > X0) > secrecy_KS > X0))).
% 0.84/0.51 thf(func_def_60, type, secrecy_kKS: (secrecy_Keys > secrecy_KS)).
% 0.84/0.51 thf(func_def_61, type, secrecy_rec_KS: !>[X0: $tType]:(((secrecy_Keys > X0) > (secrecy_Secrets > X0) > secrecy_KS > X0))).
% 0.84/0.51 thf(func_def_62, type, secrecy_sKS: (secrecy_Secrets > secrecy_KS)).
% 0.84/0.51 thf(func_def_63, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 0.84/0.51 thf(func_def_64, type, member2: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 0.84/0.51 thf(func_def_65, type, a: secrecy_specID).
% 0.84/0.51 thf(func_def_66, type, m: secrecy_Secrets).
% 0.84/0.51 thf(func_def_68, type, vAND: ($o > $o > $o)).
% 0.84/0.51 thf(func_def_69, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.84/0.51 thf(func_def_70, type, vIMP: ($o > $o > $o)).
% 0.84/0.51 thf(func_def_71, type, db0: !>[X0: $tType]:(X0)).
% 0.84/0.51 thf(func_def_72, type, db1: !>[X0: $tType]:(X0)).
% 0.84/0.51 thf(func_def_73, type, vNOT: ($o > $o)).
% 0.84/0.51 thf(func_def_74, type, db2: !>[X0: $tType]:(X0)).
% 0.84/0.51 thf(func_def_75, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.84/0.51 thf(func_def_78, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.84/0.51 thf(func_def_79, type, vOR: ($o > $o > $o)).
% 0.84/0.51 thf(func_def_80, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.84/0.51 thf(func_def_81, type, db6: !>[X0: $tType]:(X0)).
% 0.84/0.51 thf(func_def_82, type, db3: !>[X0: $tType]:(X0)).
% 0.84/0.51 thf(func_def_83, type, db4: !>[X0: $tType]:(X0)).
% 0.84/0.51 thf(func_def_84, type, db5: !>[X0: $tType]:(X0)).
% 0.84/0.51 thf(func_def_85, type, sP0: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > $o))).
% 0.84/0.51 thf(func_def_86, type, sK1: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > (X0 > X1 > $o) > list @ X0))).
% 0.84/0.51 thf(func_def_87, type, sK2: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > (X0 > X1 > $o) > X1))).
% 0.84/0.51 thf(func_def_88, type, sK3: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > (X0 > X1 > $o) > list @ X1))).
% 0.84/0.51 thf(func_def_89, type, sK4: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > (X0 > X1 > $o) > X0))).
% 0.84/0.51 thf(func_def_90, type, sK5: !>[X0: $tType]:((list @ X0 > X0))).
% 0.84/0.51 thf(func_def_91, type, sK6: !>[X0: $tType]:((list @ X0 > X0))).
% 0.84/0.51 thf(func_def_92, type, sK7: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.84/0.51 thf(func_def_93, type, sK8: !>[X0: $tType]:((list @ X0 > X0))).
% 0.84/0.51 thf(func_def_94, type, sK9: !>[X0: $tType]:((X0 > list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 0.84/0.51 thf(func_def_95, type, sK10: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.84/0.51 thf(func_def_96, type, sK11: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 0.84/0.51 thf(func_def_97, type, sK12: !>[X0: $tType, X1: $tType]:(((X1 > X0) > list @ X0 > list @ X0 > list @ X1 > list @ X1))).
% 0.84/0.51 thf(func_def_98, type, sK13: !>[X0: $tType, X1: $tType]:(((X1 > X0) > list @ X0 > list @ X0 > list @ X1 > X1))).
% 0.84/0.51 thf(func_def_99, type, sK14: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ list @ X0 > list @ list @ X0))).
% 0.84/0.51 thf(func_def_100, type, sK15: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ list @ X0 > list @ X0))).
% 0.84/0.51 thf(func_def_101, type, sK16: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ list @ X0 > list @ X0))).
% 0.84/0.51 thf(func_def_102, type, sK17: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ list @ X0 > list @ list @ X0))).
% 0.84/0.51 thf(func_def_103, type, sK18: (secrecy_Expression > secrecy_specID > secrecy_Keys)).
% 0.84/0.51 thf(func_def_104, type, sK19: (secrecy_Expression > secrecy_specID > secrecy_Secrets)).
% 0.84/0.51 thf(func_def_105, type, sK20: (secrecy_KS > secrecy_Secrets)).
% 0.84/0.51 thf(func_def_106, type, sK21: (secrecy_KS > secrecy_Keys)).
% 0.84/0.51 thf(func_def_107, type, sK22: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 0.84/0.51 thf(func_def_108, type, sK23: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 0.84/0.51 thf(func_def_109, type, sK24: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 0.84/0.51 thf(func_def_110, type, sK25: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 0.84/0.51 thf(func_def_111, type, sK26: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 0.84/0.51 thf(func_def_112, type, sK27: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 0.84/0.51 thf(func_def_113, type, sK28: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 0.84/0.51 thf(func_def_114, type, sK29: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.84/0.51 thf(func_def_115, type, sK30: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.84/0.51 thf(func_def_116, type, sK31: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.84/0.51 thf(func_def_117, type, sK32: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 0.84/0.51 thf(func_def_118, type, sK33: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.84/0.51 thf(func_def_119, type, sK34: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.84/0.51 thf(func_def_120, type, sK35: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 0.84/0.51 thf(func_def_121, type, sK36: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.84/0.51 thf(func_def_122, type, sK37: !>[X0: $tType]:((list @ X0 > X0))).
% 0.84/0.51 thf(func_def_123, type, sK38: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > X0))).
% 0.84/0.51 thf(func_def_124, type, sK39: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > X0))).
% 0.84/0.51 thf(func_def_125, type, sK40: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > list @ X0))).
% 0.84/0.51 thf(func_def_126, type, sK41: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.84/0.51 thf(func_def_127, type, sK42: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 0.84/0.51 thf(func_def_128, type, sK43: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 0.84/0.51 thf(func_def_129, type, sK44: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.84/0.51 thf(func_def_130, type, sK45: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.84/0.51 thf(func_def_131, type, sK46: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.84/0.51 thf(func_def_132, type, sK47: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 0.84/0.51 thf(func_def_133, type, sK48: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 0.84/0.51 thf(func_def_134, type, sK49: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > list @ X0))).
% 0.84/0.51 thf(func_def_135, type, sK50: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 0.84/0.51 thf(func_def_136, type, sK51: !>[X0: $tType, X1: $tType]:((list @ X0 > (X0 > X1 > $o) > list @ X1 > X1))).
% 0.84/0.51 thf(func_def_137, type, sK52: !>[X0: $tType, X1: $tType]:((list @ X0 > (X0 > X1 > $o) > list @ X1 > X0))).
% 0.84/0.51 thf(func_def_138, type, sK53: !>[X0: $tType, X1: $tType]:((list @ X0 > (X0 > X1 > $o) > list @ X1 > list @ X0))).
% 0.84/0.51 thf(func_def_139, type, sK54: !>[X0: $tType, X1: $tType]:((list @ X0 > (X0 > X1 > $o) > list @ X1 > list @ X1))).
% 0.84/0.51 thf(func_def_140, type, sK55: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 0.84/0.51 thf(func_def_141, type, sK56: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.84/0.51 thf(func_def_142, type, sK57: !>[X0: $tType]:((list @ X0 > X0))).
% 0.84/0.51 thf(func_def_143, type, sK58: !>[X0: $tType]:((list @ X0 > X0))).
% 0.84/0.51 thf(func_def_144, type, sK59: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 0.84/0.51 thf(func_def_145, type, sK60: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.84/0.51 thf(func_def_146, type, sK61: !>[X0: $tType]:((X0 > list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 0.84/0.51 thf(func_def_147, type, sK62: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > X0))).
% 0.84/0.51 thf(func_def_148, type, sK63: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 0.84/0.51 thf(func_def_149, type, sK64: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > X0))).
% 0.84/0.51 thf(func_def_150, type, sK65: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 0.84/0.51 thf(func_def_151, type, sK66: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 0.84/0.51 thf(func_def_152, type, sK67: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > X0))).
% 0.84/0.51 thf(func_def_153, type, sK68: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > X0))).
% 0.84/0.51 thf(func_def_154, type, sK69: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 0.84/0.51 thf(func_def_155, type, sK70: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 0.84/0.51 thf(func_def_156, type, sK71: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > X0))).
% 0.84/0.51 thf(func_def_157, type, sK72: !>[X0: $tType]:((list @ list @ X0 > list @ X0))).
% 0.84/0.51 thf(func_def_158, type, sK73: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 0.84/0.51 thf(func_def_159, type, sK74: !>[X0: $tType]:((list @ list @ X0 > X0))).
% 0.84/0.51 thf(func_def_160, type, sK75: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 0.84/0.51 thf(func_def_161, type, sK76: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 0.84/0.51 thf(func_def_162, type, sK77: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 0.84/0.51 thf(func_def_163, type, sK78: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 0.84/0.51 thf(func_def_164, type, sK79: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 0.84/0.51 thf(func_def_165, type, sK80: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > X0 > X1))).
% 0.84/0.51 thf(func_def_166, type, sK81: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > list @ X1))).
% 0.84/0.51 thf(func_def_167, type, sK82: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > X0))).
% 0.84/0.51 thf(func_def_168, type, sK83: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > list @ X0))).
% 0.84/0.51 thf(func_def_169, type, sK84: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > list @ X1))).
% 0.84/0.51 thf(func_def_170, type, sK85: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > X0 > X1))).
% 0.84/0.51 thf(func_def_171, type, sK86: !>[X0: $tType]:((list @ X0 > X0))).
% 0.84/0.51 thf(func_def_172, type, sK87: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.84/0.51 thf(func_def_173, type, sK88: ((secrecy_KS > $o) > secrecy_Keys)).
% 0.84/0.51 thf(func_def_174, type, sK89: ((secrecy_KS > $o) > secrecy_Secrets)).
% 0.84/0.51 thf(func_def_175, type, sK90: !>[X0: $tType]:((list @ X0 > X0))).
% 0.84/0.51 thf(func_def_176, type, sK91: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.84/0.51 thf(func_def_177, type, sK92: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.84/0.51 thf(func_def_178, type, sK93: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 0.84/0.51 thf(func_def_179, type, sK94: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.84/0.51 thf(func_def_180, type, sK95: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.84/0.51 thf(func_def_181, type, sK96: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 0.84/0.51 thf(func_def_182, type, sK97: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.84/0.51 thf(func_def_183, type, sK98: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 0.84/0.51 thf(func_def_184, type, sK99: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.84/0.51 thf(func_def_185, type, sK100: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.84/0.51 thf(func_def_186, type, sK101: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.84/0.51 thf(func_def_187, type, sK102: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 0.84/0.51 thf(func_def_188, type, sK103: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.84/0.51 thf(func_def_189, type, sK104: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 0.84/0.51 thf(func_def_190, type, sK105: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.84/0.51 thf(func_def_191, type, sK106: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > X0))).
% 0.84/0.51 thf(func_def_192, type, sK107: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > list @ X0))).
% 0.84/0.51 thf(func_def_193, type, sK108: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > X0))).
% 0.84/0.51 thf(func_def_194, type, sK109: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > list @ X0))).
% 0.84/0.51 thf(func_def_195, type, sK110: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > list @ X0))).
% 0.84/0.51 thf(func_def_196, type, sK111: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > X0))).
% 0.84/0.51 thf(func_def_197, type, sK112: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > X0))).
% 0.84/0.51 thf(func_def_198, type, sK113: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > list @ X0))).
% 0.84/0.51 thf(func_def_199, type, sK114: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > X0))).
% 0.84/0.51 thf(func_def_200, type, sK115: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > list @ X1))).
% 0.84/0.51 thf(func_def_201, type, sK116: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > list @ X0))).
% 0.84/0.51 thf(func_def_202, type, sK117: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > X1))).
% 0.84/0.51 thf(func_def_203, type, sK118: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > X1))).
% 0.84/0.51 thf(func_def_204, type, sK119: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > list @ X1))).
% 0.84/0.51 thf(func_def_205, type, sK120: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > X0))).
% 0.84/0.51 thf(func_def_206, type, sK121: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > list @ X0))).
% 0.84/0.51 thf(func_def_207, type, sK122: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > list @ X0))).
% 0.84/0.51 thf(func_def_208, type, sK123: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 0.84/0.51 thf(func_def_209, type, sK124: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 0.84/0.51 thf(func_def_210, type, sK125: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 0.84/0.51 thf(func_def_211, type, sK126: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 0.84/0.51 thf(func_def_212, type, sK127: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 0.84/0.51 thf(func_def_213, type, sK128: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 0.84/0.51 thf(func_def_214, type, sK129: !>[X0: $tType]:((list @ list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 0.84/0.51 thf(func_def_215, type, sK130: !>[X0: $tType]:((list @ list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 0.84/0.51 thf(func_def_216, type, sK131: !>[X0: $tType]:((list @ list @ X0 > list @ X0 > list @ X0 > list @ list @ X0))).
% 0.84/0.51 thf(func_def_217, type, sK132: !>[X0: $tType]:((list @ list @ X0 > list @ X0 > list @ X0 > list @ list @ X0))).
% 0.84/0.51 thf(func_def_218, type, sK133: !>[X0: $tType]:((list @ X0 > X0))).
% 0.84/0.51 thf(func_def_219, type, sK134: !>[X0: $tType]:((list @ X0 > $o > (X0 > X0 > $o) > X0))).
% 0.84/0.51 thf(func_def_220, type, sK135: !>[X0: $tType]:((list @ X0 > $o > (X0 > X0 > $o) > X0))).
% 0.84/0.51 thf(func_def_221, type, sK136: !>[X0: $tType]:((list @ X0 > $o > (X0 > X0 > $o) > list @ X0))).
% 0.84/0.51 thf(func_def_222, type, sK137: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > list @ X0))).
% 0.84/0.51 thf(func_def_223, type, sK138: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > X0))).
% 0.84/0.51 thf(func_def_224, type, sK139: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > X0))).
% 0.84/0.51 thf(func_def_225, type, sK140: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > list @ X0))).
% 0.84/0.51 thf(func_def_226, type, sK141: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.84/0.51 thf(func_def_227, type, sK142: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > X0))).
% 0.84/0.51 thf(func_def_228, type, sK143: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > list @ X0))).
% 0.84/0.51 thf(func_def_229, type, sK144: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > list @ X0))).
% 0.84/0.51 thf(func_def_230, type, sK145: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > X0))).
% 0.84/0.51 thf(func_def_231, type, sK146: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.84/0.51 thf(func_def_232, type, sK147: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 0.84/0.51 thf(func_def_233, type, sK148: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.84/0.51 thf(func_def_234, type, sK149: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 0.84/0.51 thf(func_def_235, type, sK150: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.84/0.51 thf(func_def_236, type, sK151: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.84/0.51 thf(func_def_237, type, sK152: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.84/0.51 thf(func_def_238, type, sK153: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.84/0.51 thf(func_def_239, type, sK154: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 0.84/0.51 thf(func_def_240, type, sK155: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 0.84/0.51 thf(func_def_241, type, sK156: !>[X0: $tType]:((list @ X0 > X0))).
% 0.84/0.51 thf(func_def_242, type, sK157: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.84/0.51 thf(func_def_243, type, sK158: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1 > X0))).
% 0.84/0.51 thf(func_def_244, type, sK159: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1))).
% 0.84/0.51 thf(func_def_245, type, sK160: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1 > X0))).
% 0.84/0.51 thf(func_def_246, type, sK161: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1 > X0))).
% 0.84/0.51 thf(func_def_247, type, sK162: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1))).
% 0.84/0.51 thf(func_def_248, type, sK163: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > list @ X1))).
% 0.84/0.51 thf(func_def_249, type, sK164: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1))).
% 0.84/0.51 thf(func_def_250, type, sK165: !>[X0: $tType]:((list @ X0 > X0))).
% 0.84/0.51 thf(func_def_251, type, sK166: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.84/0.51 thf(func_def_252, type, sK167: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > list @ X0))).
% 0.84/0.51 thf(func_def_253, type, sK168: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > X0))).
% 0.84/0.51 thf(func_def_254, type, sK169: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > X0))).
% 0.84/0.51 thf(func_def_255, type, sK170: !>[X0: $tType]:((list @ X0 > X0))).
% 0.84/0.51 thf(func_def_257, type, inv_secrecy_sKS_172: (secrecy_KS > secrecy_Secrets)).
% 0.84/0.51 thf(func_def_258, type, inv_secrecy_sE_173: (secrecy_Expression > secrecy_Secrets)).
% 0.84/0.51 thf(func_def_259, type, inv_secrecy_kKS_174: (secrecy_KS > secrecy_Keys)).
% 0.84/0.51 thf(func_def_260, type, inv_secrecy_kE_175: (secrecy_Expression > secrecy_Keys)).
% 0.84/0.51 thf(f1,axiom,(
% 0.84/0.51 (knowle2055185861_knows @ a @ (cons @ secrecy_Expression @ (secrecy_sE @ m) @ nil @ secrecy_Expression))),
% 0.84/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_assms)).
% 0.84/0.51 thf(f4,axiom,(
% 0.84/0.51 ! [X0 : secrecy_specID,X1 : secrecy_Secrets] : (((knowle2055185861_knows @ X0 @ (cons @ secrecy_Expression @ (secrec1016742679ession @ (secrecy_sKS @ X1)) @ nil @ secrecy_Expression))) = ((knowle1437066798e_know @ X0 @ (secrecy_sKS @ X1))))),
% 0.84/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_know1s)).
% 0.84/0.51 thf(f10,axiom,(
% 0.84/0.51 ! [X0 : secrecy_Secrets] : (((secrec1016742679ession @ (secrecy_sKS @ X0))) = ((secrecy_sE @ X0)))),
% 0.84/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9_KS2Expression_Osimps_I2_J)).
% 0.84/0.51 thf(f263,conjecture,(
% 0.84/0.51 (knowle1437066798e_know @ a @ (secrecy_sKS @ m))),
% 0.84/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 0.84/0.51 thf(f264,negated_conjecture,(
% 0.84/0.51 ~(knowle1437066798e_know @ a @ (secrecy_sKS @ m))),
% 0.84/0.51 inference(negated_conjecture,[status(cth)],[f263])).
% 0.84/0.51 thf(f481,plain,(
% 0.84/0.51 (knowle2055185861_knows @ a @ (cons @ secrecy_Expression @ (secrecy_sE @ m) @ nil @ secrecy_Expression))),
% 0.84/0.51 inference(rectify,[],[f1])).
% 0.84/0.51 thf(f482,plain,(
% 0.84/0.51 (((knowle2055185861_knows @ a @ (cons @ secrecy_Expression @ (secrecy_sE @ m) @ nil @ secrecy_Expression))) = $true)),
% 0.84/0.51 inference(fool_elimination,[],[f481])).
% 0.84/0.51 thf(f527,plain,(
% 0.84/0.51 ~(knowle1437066798e_know @ a @ (secrecy_sKS @ m))),
% 0.84/0.51 inference(rectify,[],[f264])).
% 0.84/0.51 thf(f528,plain,(
% 0.84/0.51 ~ (((knowle1437066798e_know @ a @ (secrecy_sKS @ m))) = $true)),
% 0.84/0.51 inference(fool_elimination,[],[f527])).
% 0.84/0.51 thf(f621,plain,(
% 0.84/0.51 (((knowle1437066798e_know @ a @ (secrecy_sKS @ m))) != $true)),
% 0.84/0.51 inference(flattening,[],[f528])).
% 0.84/0.51 thf(f1383,plain,(
% 0.84/0.51 ( ! [X0 : secrecy_Secrets] : ((((secrec1016742679ession @ (secrecy_sKS @ X0))) = ((secrecy_sE @ X0)))) )),
% 0.84/0.51 inference(cnf_transformation,[],[f10])).
% 0.84/0.51 thf(f1430,plain,(
% 0.84/0.51 (((knowle2055185861_knows @ a @ (cons @ secrecy_Expression @ (secrecy_sE @ m) @ nil @ secrecy_Expression))) = $true)),
% 0.84/0.51 inference(cnf_transformation,[],[f482])).
% 0.84/0.51 thf(f1499,plain,(
% 0.84/0.51 ( ! [X0 : secrecy_specID,X1 : secrecy_Secrets] : ((((knowle1437066798e_know @ X0 @ (secrecy_sKS @ X1))) = ((knowle2055185861_knows @ X0 @ (cons @ secrecy_Expression @ (secrec1016742679ession @ (secrecy_sKS @ X1)) @ nil @ secrecy_Expression))))) )),
% 0.84/0.51 inference(cnf_transformation,[],[f4])).
% 0.84/0.51 thf(f1548,plain,(
% 0.84/0.51 (((knowle1437066798e_know @ a @ (secrecy_sKS @ m))) != $true)),
% 0.84/0.51 inference(cnf_transformation,[],[f621])).
% 0.84/0.51 thf(f1773,plain,(
% 0.84/0.51 ( ! [X0 : secrecy_specID,X1 : secrecy_Secrets] : ((((knowle2055185861_knows @ X0 @ (cons @ secrecy_Expression @ (secrec1016742679ession @ (secrecy_sKS @ X1)) @ nil @ secrecy_Expression))) = $false) | (((knowle1437066798e_know @ X0 @ (secrecy_sKS @ X1))) = $true)) )),
% 0.84/0.51 inference(iff_proxy_clausification,[],[f1499])).
% 0.84/0.51 thf(f1789,definition,(
% 0.84/0.51 spl171_3 <=> (((knowle1437066798e_know @ a @ (secrecy_sKS @ m))) = $true)),
% 0.84/0.51 introduced(definition,[new_symbols(definition,[spl171_3])],[avatar_definition])).
% 0.84/0.51 thf(f1791,plain,(
% 0.84/0.51 (((knowle1437066798e_know @ a @ (secrecy_sKS @ m))) != $true) | spl171_3),
% 0.84/0.51 inference(avatar_component_clause,[],[f1789])).
% 0.84/0.51 thf(f1792,plain,(
% 0.84/0.51 ~spl171_3),
% 0.84/0.51 inference(avatar_split_clause,[],[f1548,f1789])).
% 0.84/0.51 thf(f1804,definition,(
% 0.84/0.51 spl171_6 <=> (((knowle2055185861_knows @ a @ (cons @ secrecy_Expression @ (secrecy_sE @ m) @ nil @ secrecy_Expression))) = $true)),
% 0.84/0.51 introduced(definition,[new_symbols(definition,[spl171_6])],[avatar_definition])).
% 0.84/0.51 thf(f1806,plain,(
% 0.84/0.51 (((knowle2055185861_knows @ a @ (cons @ secrecy_Expression @ (secrecy_sE @ m) @ nil @ secrecy_Expression))) = $true) | ~spl171_6),
% 0.84/0.51 inference(avatar_component_clause,[],[f1804])).
% 0.84/0.51 thf(f1807,plain,(
% 0.84/0.51 spl171_6),
% 0.84/0.51 inference(avatar_split_clause,[],[f1430,f1804])).
% 0.84/0.51 thf(f1845,plain,(
% 0.84/0.51 (((knowle2055185861_knows @ a @ (cons @ secrecy_Expression @ (secrec1016742679ession @ (secrecy_sKS @ m)) @ nil @ secrecy_Expression))) = $true) | ~spl171_6),
% 0.84/0.51 inference(superposition,[],[f1806,f1383])).
% 0.84/0.51 thf(f1847,definition,(
% 0.84/0.51 spl171_9 <=> (((knowle2055185861_knows @ a @ (cons @ secrecy_Expression @ (secrec1016742679ession @ (secrecy_sKS @ m)) @ nil @ secrecy_Expression))) = $true)),
% 0.84/0.51 introduced(definition,[new_symbols(definition,[spl171_9])],[avatar_definition])).
% 0.84/0.51 thf(f1849,plain,(
% 0.84/0.51 (((knowle2055185861_knows @ a @ (cons @ secrecy_Expression @ (secrec1016742679ession @ (secrecy_sKS @ m)) @ nil @ secrecy_Expression))) = $true) | ~spl171_9),
% 0.84/0.51 inference(avatar_component_clause,[],[f1847])).
% 0.84/0.51 thf(f1850,plain,(
% 0.84/0.51 spl171_9 | ~spl171_6),
% 0.84/0.51 inference(avatar_split_clause,[],[f1845,f1804,f1847])).
% 0.84/0.51 thf(f2152,plain,(
% 0.84/0.51 ($true = $false) | (((knowle1437066798e_know @ a @ (secrecy_sKS @ m))) = $true) | ~spl171_9),
% 0.84/0.51 inference(superposition,[],[f1849,f1773])).
% 0.84/0.51 thf(f2156,plain,(
% 0.84/0.51 (((knowle1437066798e_know @ a @ (secrecy_sKS @ m))) = $true) | ~spl171_9),
% 0.84/0.51 inference(trivial_inequality_removal,[],[f2152])).
% 0.84/0.51 thf(f2161,plain,(
% 0.84/0.51 $false | (spl171_3 | ~spl171_9)),
% 0.84/0.51 inference(forward_subsumption_resolution,[],[f2156,f1791])).
% 0.84/0.51 thf(f2162,plain,(
% 0.84/0.51 spl171_3 | ~spl171_9),
% 0.84/0.51 inference(avatar_contradiction_clause,[],[f2161])).
% 0.84/0.51 cnf(s3, plain, ~spl171_3, inference(sat_conversion,[],[f1792])).
% 0.84/0.51 cnf(s6, plain, spl171_6, inference(sat_conversion,[],[f1807])).
% 0.84/0.51 cnf(s9, plain, ~spl171_6 | spl171_9, inference(sat_conversion,[],[f1850])).
% 0.84/0.51 cnf(s12, plain, spl171_3 | ~spl171_9, inference(sat_conversion,[],[f2162])).
% 0.84/0.51 cnf(s13, plain, spl171_9, inference(rat,[],[s9,s6])).
% 0.84/0.51 cnf(s14, plain, spl171_3, inference(rat,[],[s12,s13])).
% 0.84/0.51 cnf(s15, plain, $false, inference(rat,[],[s3,s14])).
% 0.84/0.51 thf(f2164,plain,(
% 0.84/0.51 $false),
% 0.84/0.51 inference(avatar_sat_refutation,[],[s15])).
% 0.84/0.51 % SZS output end Proof for theBenchmark
% 0.84/0.51 % (1097804)------------------------------
% 0.84/0.51 % (1097804)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.51 % (1097804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.51 % (1097804)CaDiCaL version: 2.1.3
% 0.84/0.51 % (1097804)Termination reason: Refutation
% 0.84/0.51 % (1097804)Time elapsed: 0.114 s
% 0.84/0.51 % (1097804)Peak memory usage: 15 MB
% 0.84/0.51 % (1097804)Instructions burned: 219 (million)
% 0.84/0.51 % (1097786)Success in time 0.18 s
% 0.84/0.51 % Vampire exiting
%------------------------------------------------------------------------------