%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP089^2 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 08:08:18 AM UTC 2026
% Result : Theorem 0.51s 0.45s
% Output : Refutation 0.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP089^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n001.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Tue Sep 29 19:57:57 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running higher-order theorem proving
% 0.21/0.27 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.51/0.41 % (1734361)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.51/0.41 % (1734370)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2823391480:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.51/0.41 % (1734372)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.51/0.41 % (1734372)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
% 0.51/0.41 % (1734370)Instruction limit reached!
% 0.51/0.41 % (1734370)------------------------------
% 0.51/0.41 % (1734370)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.41 % (1734370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.41 % (1734370)CaDiCaL version: 2.1.3
% 0.51/0.41 % (1734370)Termination reason: Instruction limit
% 0.51/0.41 % (1734370)Termination phase: shuffling
% 0.51/0.41 % (1734370)Time elapsed: 0.006 s
% 0.51/0.41 % (1734370)Peak memory usage: 10 MB
% 0.51/0.41 % (1734370)Instructions burned: 25 (million)
% 0.51/0.41 % (1734366)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3689466803:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.51/0.41 % (1734368)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1651567081:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.51/0.41 % (1734369)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=1161514515: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)
% 0.51/0.41 % (1734371)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1630202297:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.51/0.41 % (1734372)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=2740363408:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.51/0.41 % (1734367)lrs+10_16_si=on:nwc=1.5:random_seed=3315534947:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.51/0.41 % (1734368)Instruction limit reached!
% 0.51/0.41 % (1734368)------------------------------
% 0.51/0.41 % (1734368)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.41 % (1734368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.41 % (1734368)CaDiCaL version: 2.1.3
% 0.51/0.41 % (1734368)Termination reason: Instruction limit
% 0.51/0.41 % (1734368)Termination phase: shuffling
% 0.51/0.41 % (1734368)Time elapsed: 0.003 s
% 0.51/0.41 % (1734368)Peak memory usage: 10 MB
% 0.51/0.41 % (1734368)Instructions burned: 4 (million)
% 0.51/0.41 % (1734374)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=4132106244:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.51/0.41 % (1734367)Instruction limit reached!
% 0.51/0.41 % (1734367)------------------------------
% 0.51/0.41 % (1734367)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.41 % (1734367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.41 % (1734367)CaDiCaL version: 2.1.3
% 0.51/0.41 % (1734367)Termination reason: Instruction limit
% 0.51/0.41 % (1734367)Termination phase: shuffling
% 0.51/0.41 % (1734367)Time elapsed: 0.009 s
% 0.51/0.41 % (1734367)Peak memory usage: 10 MB
% 0.51/0.41 % (1734367)Instructions burned: 18 (million)
% 0.51/0.41 % (1734374)Instruction limit reached!
% 0.51/0.41 % (1734374)------------------------------
% 0.51/0.41 % (1734374)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.41 % (1734374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.41 % (1734374)CaDiCaL version: 2.1.3
% 0.51/0.41 % (1734374)Termination reason: Instruction limit
% 0.51/0.41 % (1734374)Termination phase: shuffling
% 0.51/0.41 % (1734374)Time elapsed: 0.002 s
% 0.51/0.41 % (1734374)Peak memory usage: 10 MB
% 0.51/0.41 % (1734374)Instructions burned: 6 (million)
% 0.51/0.41 % (1734383)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.51/0.44 % (1734383)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2979640105:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.51/0.44 % (1734381)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3890408174:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.51/0.44 % (1734383)Instruction limit reached!
% 0.51/0.44 % (1734383)------------------------------
% 0.51/0.44 % (1734383)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.44 % (1734383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.44 % (1734383)CaDiCaL version: 2.1.3
% 0.51/0.44 % (1734383)Termination reason: Instruction limit
% 0.51/0.44 % (1734383)Termination phase: shuffling
% 0.51/0.44 % (1734383)Time elapsed: 0.002 s
% 0.51/0.44 % (1734383)Peak memory usage: 10 MB
% 0.51/0.44 % (1734383)Instructions burned: 7 (million)
% 0.51/0.44 % (1734381)Instruction limit reached!
% 0.51/0.44 % (1734381)------------------------------
% 0.51/0.44 % (1734381)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.44 % (1734381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.44 % (1734381)CaDiCaL version: 2.1.3
% 0.51/0.44 % (1734381)Termination reason: Instruction limit
% 0.51/0.44 % (1734381)Termination phase: shuffling
% 0.51/0.44 % (1734381)Time elapsed: 0.005 s
% 0.51/0.44 % (1734381)Peak memory usage: 10 MB
% 0.51/0.44 % (1734381)Instructions burned: 9 (million)
% 0.51/0.44 % (1734384)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=484757644:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.51/0.44 % (1734387)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
% 0.51/0.44 % (1734387)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.51/0.44 % (1734387)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=960612554:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.51/0.44 % (1734384)Instruction limit reached!
% 0.51/0.44 % (1734384)------------------------------
% 0.51/0.44 % (1734384)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.44 % (1734384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.44 % (1734384)CaDiCaL version: 2.1.3
% 0.51/0.44 % (1734384)Termination reason: Instruction limit
% 0.51/0.44 % (1734384)Termination phase: shuffling
% 0.51/0.44 % (1734384)Time elapsed: 0.006 s
% 0.51/0.44 % (1734384)Peak memory usage: 10 MB
% 0.51/0.44 % (1734384)Instructions burned: 12 (million)
% 0.51/0.44 % (1734371)Instruction limit reached!
% 0.51/0.44 % (1734371)------------------------------
% 0.51/0.44 % (1734371)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.44 % (1734371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.44 % (1734371)CaDiCaL version: 2.1.3
% 0.51/0.44 % (1734371)Termination reason: Instruction limit
% 0.51/0.44 % (1734371)Termination phase: Property scanning
% 0.51/0.44 % (1734371)Time elapsed: 0.037 s
% 0.51/0.44 % (1734371)Peak memory usage: 12 MB
% 0.51/0.44 % (1734371)Instructions burned: 75 (million)
% 0.51/0.44 % (1734366)Instruction limit reached!
% 0.51/0.44 % (1734366)------------------------------
% 0.51/0.44 % (1734366)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.44 % (1734366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.44 % (1734366)CaDiCaL version: 2.1.3
% 0.51/0.44 % (1734366)Termination reason: Instruction limit
% 0.51/0.44 % (1734366)Termination phase: Property scanning
% 0.51/0.44 % (1734366)Time elapsed: 0.041 s
% 0.51/0.44 % (1734366)Peak memory usage: 12 MB
% 0.51/0.44 % (1734366)Instructions burned: 88 (million)
% 0.51/0.44 % (1734387)Instruction limit reached!
% 0.51/0.44 % (1734387)------------------------------
% 0.51/0.44 % (1734387)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.44 % (1734387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.44 % (1734387)CaDiCaL version: 2.1.3
% 0.51/0.44 % (1734387)Termination reason: Instruction limit
% 0.51/0.45 % (1734387)Termination phase: shuffling
% 0.51/0.45 % (1734387)Time elapsed: 0.007 s
% 0.51/0.45 % (1734387)Peak memory usage: 10 MB
% 0.51/0.45 % (1734387)Instructions burned: 31 (million)
% 0.51/0.45 % (1734388)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=62162418:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.51/0.45 % (1734394)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3529867416:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.51/0.45 % (1734392)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.51/0.45 % (1734391)lrs+10_1_si=on:cs=on:random_seed=236896395:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.51/0.45 % (1734392)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=1978755910:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.51/0.45 % (1734392)Instruction limit reached!
% 0.51/0.45 % (1734392)------------------------------
% 0.51/0.45 % (1734392)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.45 % (1734392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.45 % (1734392)CaDiCaL version: 2.1.3
% 0.51/0.45 % (1734392)Termination reason: Instruction limit
% 0.51/0.45 % (1734392)Termination phase: shuffling
% 0.51/0.45 % (1734392)Time elapsed: 0.002 s
% 0.51/0.45 % (1734392)Peak memory usage: 10 MB
% 0.51/0.45 % (1734392)Instructions burned: 3 (million)
% 0.51/0.45 % (1734391)Instruction limit reached!
% 0.51/0.45 % (1734391)------------------------------
% 0.51/0.45 % (1734391)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.45 % (1734391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.45 % (1734391)CaDiCaL version: 2.1.3
% 0.51/0.45 % (1734391)Termination reason: Instruction limit
% 0.51/0.45 % (1734391)Termination phase: shuffling
% 0.51/0.45 % (1734391)Time elapsed: 0.004 s
% 0.51/0.45 % (1734391)Peak memory usage: 10 MB
% 0.51/0.45 % (1734391)Instructions burned: 8 (million)
% 0.51/0.45 % (1734393)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=397860647:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.51/0.45 % (1734394)Refutation not found, incomplete strategy
% 0.51/0.45 % (1734394)------------------------------
% 0.51/0.45 % (1734394)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.45 % (1734394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.45 % (1734394)CaDiCaL version: 2.1.3
% 0.51/0.45 % (1734394)Termination reason: Refutation not found, incomplete strategy
% 0.51/0.45 % (1734394)Time elapsed: 0.017 s
% 0.51/0.45 % (1734394)Peak memory usage: 13 MB
% 0.51/0.45 % (1734394)Instructions burned: 68 (million)
% 0.51/0.45 % (1734372)Instruction limit reached!
% 0.51/0.45 % (1734372)------------------------------
% 0.51/0.45 % (1734372)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.45 % (1734372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.45 % (1734372)CaDiCaL version: 2.1.3
% 0.51/0.45 % (1734372)Termination reason: Instruction limit
% 0.51/0.45 % (1734372)Termination phase: Saturation
% 0.51/0.45 % (1734372)Time elapsed: 0.069 s
% 0.51/0.45 % (1734372)Peak memory usage: 13 MB
% 0.51/0.45 % (1734372)Instructions burned: 157 (million)
% 0.51/0.45 % (1734394)------------------------------
% 0.51/0.45 % (1734394)------------------------------
% 0.51/0.45 % (1734399)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2685448132:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.51/0.45 % (1734393)Instruction limit reached!
% 0.51/0.45 % (1734393)------------------------------
% 0.51/0.45 % (1734393)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.45 % (1734393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.45 % (1734393)CaDiCaL version: 2.1.3
% 0.51/0.45 % (1734393)Termination reason: Instruction limit
% 0.51/0.45 % (1734393)Termination phase: Property scanning
% 0.51/0.45 % (1734393)Time elapsed: 0.017 s
% 0.51/0.45 % (1734393)Peak memory usage: 10 MB
% 0.51/0.45 % (1734393)Instructions burned: 39 (million)
% 0.51/0.45 % (1734401)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1345651687:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.51/0.45 % (1734402)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2833612600:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.51/0.45 % (1734388)Instruction limit reached!
% 0.51/0.45 % (1734388)------------------------------
% 0.51/0.45 % (1734388)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.45 % (1734388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.45 % (1734388)CaDiCaL version: 2.1.3
% 0.51/0.45 % (1734388)Termination reason: Instruction limit
% 0.51/0.45 % (1734388)Termination phase: Property scanning
% 0.51/0.45 % (1734388)Time elapsed: 0.037 s
% 0.51/0.45 % (1734388)Peak memory usage: 11 MB
% 0.51/0.45 % (1734388)Instructions burned: 87 (million)
% 0.51/0.45 % (1734401)Instruction limit reached!
% 0.51/0.45 % (1734401)------------------------------
% 0.51/0.45 % (1734401)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.45 % (1734401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.45 % (1734401)CaDiCaL version: 2.1.3
% 0.51/0.45 % (1734401)Termination reason: Instruction limit
% 0.51/0.45 % (1734401)Termination phase: shuffling
% 0.51/0.45 % (1734401)Time elapsed: 0.007 s
% 0.51/0.45 % (1734401)Peak memory usage: 10 MB
% 0.51/0.45 % (1734401)Instructions burned: 15 (million)
% 0.51/0.45 % (1734399)Instruction limit reached!
% 0.51/0.45 % (1734399)------------------------------
% 0.51/0.45 % (1734399)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.45 % (1734399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.45 % (1734399)CaDiCaL version: 2.1.3
% 0.51/0.45 % (1734399)Termination reason: Instruction limit
% 0.51/0.45 % (1734399)Termination phase: shuffling
% 0.51/0.45 % (1734399)Time elapsed: 0.012 s
% 0.51/0.45 % (1734399)Peak memory usage: 10 MB
% 0.51/0.45 % (1734399)Instructions burned: 25 (million)
% 0.51/0.45 % (1734403)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=660038757:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.51/0.45 % (1734405)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2570842599: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)
% 0.51/0.45 % (1734403)Instruction limit reached!
% 0.51/0.45 % (1734403)------------------------------
% 0.51/0.45 % (1734403)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.45 % (1734403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.45 % (1734403)CaDiCaL version: 2.1.3
% 0.51/0.45 % (1734403)Termination reason: Instruction limit
% 0.51/0.45 % (1734403)Termination phase: shuffling
% 0.51/0.45 % (1734403)Time elapsed: 0.007 s
% 0.51/0.45 % (1734403)Peak memory usage: 10 MB
% 0.51/0.45 % (1734403)Instructions burned: 16 (million)
% 0.51/0.45 % (1734405)Instruction limit reached!
% 0.51/0.45 % (1734405)------------------------------
% 0.51/0.45 % (1734405)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.45 % (1734405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.45 % (1734405)CaDiCaL version: 2.1.3
% 0.51/0.45 % (1734405)Termination reason: Instruction limit
% 0.51/0.45 % (1734405)Termination phase: shuffling
% 0.51/0.45 % (1734405)Time elapsed: 0.002 s
% 0.51/0.45 % (1734405)Peak memory usage: 10 MB
% 0.51/0.45 % (1734405)Instructions burned: 3 (million)
% 0.51/0.45 % (1734408)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=506178685:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.51/0.45 % (1734409)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1762912554:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.51/0.45 % (1734411)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=4206388401:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 0.51/0.45 % (1734369) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1734361-1734369"...
% 0.51/0.45 % (1734413)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) 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
% 0.51/0.45 % (1734413)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.51/0.45 % (1734369)...printing done.
% 0.51/0.45 % (1734414)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 0.51/0.45 % (1734369)Refutation found. Thanks to Tanya!
% 0.51/0.45 % SZS status Theorem for theBenchmark
% 0.51/0.45 % SZS output start Proof for theBenchmark
% 0.51/0.45 thf(type_def_5, type, secrecy_Expression: $tType).
% 0.51/0.45 thf(type_def_6, type, secrecy_Secrets: $tType).
% 0.51/0.45 thf(type_def_7, type, secrecy_specID: $tType).
% 0.51/0.45 thf(type_def_8, type, secrecy_chanID: $tType).
% 0.51/0.45 thf(type_def_9, type, secrecy_Keys: $tType).
% 0.51/0.45 thf(type_def_10, type, secrecy_KS: $tType).
% 0.51/0.45 thf(type_def_11, type, list: $tType > $tType).
% 0.51/0.45 thf(type_def_12, type, set: $tType > $tType).
% 0.51/0.45 thf(type_def_13, type, nat: $tType).
% 0.51/0.45 thf(type_def_14, type, sTfun: ($tType * $tType) > $tType).
% 0.51/0.45 thf(func_def_0, type, bounded_lattice: !>[X0: $tType]:($o)).
% 0.51/0.45 thf(func_def_1, type, type: !>[X0: $tType]:($o)).
% 0.51/0.45 thf(func_def_2, type, bot: !>[X0: $tType]:($o)).
% 0.51/0.45 thf(func_def_3, type, ord: !>[X0: $tType]:($o)).
% 0.51/0.45 thf(func_def_4, type, order: !>[X0: $tType]:($o)).
% 0.51/0.45 thf(func_def_5, type, linorder: !>[X0: $tType]:($o)).
% 0.51/0.45 thf(func_def_6, type, preorder: !>[X0: $tType]:($o)).
% 0.51/0.45 thf(func_def_7, type, bounde1808546759up_bot: !>[X0: $tType]:($o)).
% 0.51/0.45 thf(func_def_8, type, localSecrets: (secrecy_specID > set @ secrecy_KS)).
% 0.51/0.45 thf(func_def_9, type, knowle1667810483orrect: (secrecy_specID > secrecy_KS > $o)).
% 0.51/0.45 thf(func_def_10, type, knowle1437066798e_know: (secrecy_specID > secrecy_KS > $o)).
% 0.51/0.45 thf(func_def_11, type, sup_sup: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.51/0.45 thf(func_def_12, type, mem: !>[X0: $tType]:((X0 > list @ X0 > $o))).
% 0.51/0.45 thf(func_def_13, type, bot_bot: !>[X0: $tType]:(X0)).
% 0.51/0.45 thf(func_def_14, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.51/0.45 thf(func_def_15, type, correctCompositionKS: (secrecy_specID > $o)).
% 0.51/0.45 thf(func_def_16, type, eout: (secrecy_specID > secrecy_Expression > $o)).
% 0.51/0.45 thf(func_def_17, type, eoutM: (secrecy_specID > set @ secrecy_chanID > secrecy_Expression > $o)).
% 0.51/0.45 thf(func_def_18, type, exprChannel: (secrecy_chanID > secrecy_Expression > $o)).
% 0.51/0.45 thf(func_def_19, type, ine: (secrecy_specID > secrecy_Expression > $o)).
% 0.51/0.45 thf(func_def_20, type, ineM: (secrecy_specID > set @ secrecy_chanID > secrecy_Expression > $o)).
% 0.51/0.45 thf(func_def_21, type, ine_exprChannelSet: (secrecy_specID > set @ secrecy_chanID > secrecy_Expression > $o)).
% 0.51/0.45 thf(func_def_22, type, ine_ex1303305700Single: (secrecy_specID > secrecy_chanID > secrecy_Expression > $o)).
% 0.51/0.45 thf(func_def_23, type, notSpe1586871396tsExpr: (secrecy_specID > list @ secrecy_Expression > $o)).
% 0.51/0.45 thf(func_def_24, type, out_exprChannelSet: (secrecy_specID > set @ secrecy_chanID > secrecy_Expression > $o)).
% 0.51/0.45 thf(func_def_25, type, out_ex985543062Single: (secrecy_specID > secrecy_chanID > secrecy_Expression > $o)).
% 0.51/0.45 thf(func_def_26, type, specKeys: (secrecy_specID > set @ secrecy_Keys)).
% 0.51/0.45 thf(func_def_27, type, specKeysSecrets: (secrecy_specID > set @ secrecy_KS)).
% 0.51/0.45 thf(func_def_28, type, specSecrets: (secrecy_specID > set @ secrecy_Secrets)).
% 0.51/0.45 thf(func_def_29, type, secrecy_kE: (secrecy_Keys > secrecy_Expression)).
% 0.51/0.45 thf(func_def_30, type, secrecy_sE: (secrecy_Secrets > secrecy_Expression)).
% 0.51/0.45 thf(func_def_31, type, secrec1016742679ession: (secrecy_KS > secrecy_Expression)).
% 0.51/0.45 thf(func_def_32, type, secrecy_case_KS: !>[X0: $tType]:(((secrecy_Keys > X0) > (secrecy_Secrets > X0) > secrecy_KS > X0))).
% 0.51/0.45 thf(func_def_33, type, secrecy_kKS: (secrecy_Keys > secrecy_KS)).
% 0.51/0.45 thf(func_def_34, type, secrecy_rec_KS: !>[X0: $tType]:(((secrecy_Keys > X0) > (secrecy_Secrets > X0) > secrecy_KS > X0))).
% 0.51/0.45 thf(func_def_35, type, secrecy_sKS: (secrecy_Secrets > secrecy_KS)).
% 0.51/0.45 thf(func_def_36, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 0.51/0.45 thf(func_def_37, type, insert: !>[X0: $tType]:((X0 > set @ X0 > set @ X0))).
% 0.51/0.45 thf(func_def_38, type, is_empty: !>[X0: $tType]:((set @ X0 > $o))).
% 0.51/0.45 thf(func_def_39, type, is_singleton: !>[X0: $tType]:((set @ X0 > $o))).
% 0.51/0.45 thf(func_def_40, type, the_elem: !>[X0: $tType]:((set @ X0 > X0))).
% 0.51/0.45 thf(func_def_41, type, correctCompositionIn: (secrecy_specID > $o)).
% 0.51/0.45 thf(func_def_42, type, correc965049635ionLoc: (secrecy_specID > $o)).
% 0.51/0.45 thf(func_def_43, type, correc990227761ionOut: (secrecy_specID > $o)).
% 0.51/0.45 thf(func_def_44, type, inStream: (secrecy_specID > set @ secrecy_chanID > $o)).
% 0.51/0.45 thf(func_def_45, type, ins: (secrecy_specID > set @ secrecy_chanID)).
% 0.51/0.45 thf(func_def_46, type, loc: (secrecy_specID > set @ secrecy_chanID)).
% 0.51/0.45 thf(func_def_47, type, locStream: (secrecy_specID > set @ secrecy_chanID > $o)).
% 0.51/0.45 thf(func_def_48, type, out: (secrecy_specID > set @ secrecy_chanID)).
% 0.51/0.45 thf(func_def_49, type, outStream: (secrecy_specID > set @ secrecy_chanID > $o)).
% 0.51/0.45 thf(func_def_50, type, subcomponents: (secrecy_specID > set @ secrecy_specID)).
% 0.51/0.45 thf(func_def_51, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 0.51/0.45 thf(func_def_52, type, p: secrecy_specID).
% 0.51/0.45 thf(func_def_53, type, pq: secrecy_specID).
% 0.51/0.45 thf(func_def_54, type, q: secrecy_specID).
% 0.51/0.45 thf(func_def_55, type, m: secrecy_KS).
% 0.51/0.45 thf(func_def_56, type, secret: secrecy_Secrets).
% 0.51/0.45 thf(func_def_60, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.51/0.45 thf(func_def_61, type, vAND: ($o > $o > $o)).
% 0.51/0.45 thf(func_def_62, type, db0: !>[X0: $tType]:(X0)).
% 0.51/0.45 thf(func_def_63, type, db2: !>[X0: $tType]:(X0)).
% 0.51/0.45 thf(func_def_64, type, db1: !>[X0: $tType]:(X0)).
% 0.51/0.45 thf(func_def_65, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.51/0.45 thf(func_def_66, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.51/0.45 thf(func_def_67, type, vIMP: ($o > $o > $o)).
% 0.51/0.45 thf(func_def_68, type, db3: !>[X0: $tType]:(X0)).
% 0.51/0.45 thf(func_def_69, type, vNOT: ($o > $o)).
% 0.51/0.45 thf(func_def_70, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.51/0.45 thf(func_def_71, type, sP0: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 0.51/0.45 thf(func_def_72, type, sP1: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 0.51/0.45 thf(func_def_73, type, sK2: !>[X0: $tType]:((set @ X0 > X0))).
% 0.51/0.45 thf(func_def_74, type, sK3: (secrecy_specID > set @ secrecy_chanID > secrecy_chanID)).
% 0.51/0.45 thf(func_def_75, type, sK4: (secrecy_specID > set @ secrecy_chanID > secrecy_chanID)).
% 0.51/0.45 thf(func_def_76, type, sK5: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.51/0.45 thf(func_def_77, type, sK6: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.51/0.45 thf(func_def_78, type, sK7: (secrecy_specID > secrecy_Secrets > secrecy_specID)).
% 0.51/0.45 thf(func_def_79, type, sK8: (secrecy_specID > secrecy_KS > secrecy_specID > secrecy_Keys)).
% 0.51/0.45 thf(func_def_80, type, sK9: (secrecy_specID > secrecy_KS > secrecy_specID > secrecy_Secrets)).
% 0.51/0.45 thf(func_def_81, type, sK10: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > X0))).
% 0.51/0.45 thf(func_def_82, type, sK11: !>[X0: $tType]:((X0 > set @ X0 > X0 > set @ X0 > set @ X0))).
% 0.51/0.45 thf(func_def_83, type, sK12: (set @ secrecy_chanID > secrecy_specID > secrecy_chanID)).
% 0.51/0.45 thf(func_def_84, type, sK13: !>[X0: $tType]:(((X0 > $o) > X0))).
% 0.51/0.45 thf(func_def_85, type, sK14: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.51/0.45 thf(func_def_86, type, sK15: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.51/0.45 thf(func_def_87, type, sK16: !>[X0: $tType]:((set @ X0 > set @ X0 > (X0 > $o) > X0))).
% 0.51/0.45 thf(func_def_88, type, sK17: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 0.51/0.45 thf(func_def_89, type, sK18: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 0.51/0.45 thf(func_def_90, type, sK19: !>[X0: $tType]:(((X0 > $o) > X0))).
% 0.51/0.45 thf(func_def_91, type, sK20: (secrecy_Keys > secrecy_specID > secrecy_chanID)).
% 0.51/0.45 thf(func_def_92, type, sK21: !>[X0: $tType]:((X0 > set @ X0 > set @ X0))).
% 0.51/0.45 thf(func_def_93, type, sK22: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.51/0.45 thf(func_def_94, type, sK23: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.51/0.45 thf(func_def_95, type, sK24: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.51/0.45 thf(func_def_96, type, sK25: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.51/0.45 thf(func_def_97, type, sK26: (secrecy_KS > secrecy_Keys)).
% 0.51/0.45 thf(func_def_98, type, sK27: (secrecy_KS > secrecy_Secrets)).
% 0.51/0.45 thf(func_def_99, type, sK28: (secrecy_Secrets > secrecy_specID > secrecy_chanID)).
% 0.51/0.45 thf(func_def_100, type, sK29: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.51/0.45 thf(func_def_101, type, sK30: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.51/0.45 thf(func_def_102, type, sK31: (secrecy_specID > secrecy_KS > secrecy_specID > secrecy_Keys)).
% 0.51/0.45 thf(func_def_103, type, sK32: (secrecy_specID > secrecy_KS > secrecy_specID > secrecy_Secrets)).
% 0.51/0.45 thf(func_def_104, type, sK33: (set @ secrecy_chanID > secrecy_specID > secrecy_chanID)).
% 0.51/0.45 thf(func_def_105, type, sK34: (secrecy_specID > set @ secrecy_chanID > secrecy_chanID)).
% 0.51/0.45 thf(func_def_106, type, sK35: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.51/0.45 thf(func_def_107, type, sK36: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.51/0.45 thf(func_def_108, type, sK37: !>[X0: $tType]:((set @ X0 > set @ X0 > set @ X0 > set @ X0))).
% 0.51/0.45 thf(func_def_109, type, sK38: !>[X0: $tType]:((set @ X0 > set @ X0 > set @ X0 > set @ X0))).
% 0.51/0.45 thf(func_def_110, type, sK39: (secrecy_specID > set @ secrecy_chanID > secrecy_chanID)).
% 0.51/0.45 thf(func_def_111, type, sK40: (secrecy_specID > secrecy_Keys > secrecy_chanID)).
% 0.51/0.45 thf(func_def_112, type, sK41: !>[X0: $tType]:((set @ X0 > X0))).
% 0.51/0.45 thf(func_def_113, type, sK42: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.51/0.45 thf(func_def_114, type, sK43: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 0.51/0.45 thf(func_def_115, type, sK44: (secrecy_specID > set @ secrecy_chanID > secrecy_chanID)).
% 0.51/0.45 thf(func_def_116, type, sK45: (secrecy_specID > set @ secrecy_chanID > secrecy_chanID)).
% 0.51/0.45 thf(func_def_117, type, sK46: (secrecy_specID > set @ secrecy_chanID > secrecy_chanID)).
% 0.51/0.45 thf(func_def_118, type, sK47: (secrecy_specID > set @ secrecy_chanID > secrecy_chanID)).
% 0.51/0.45 thf(func_def_119, type, sK48: !>[X0: $tType]:((set @ X0 > X0))).
% 0.51/0.45 thf(func_def_120, type, sK49: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 0.51/0.45 thf(func_def_121, type, sK50: !>[X0: $tType]:((set @ X0 > X0))).
% 0.51/0.45 thf(func_def_122, type, sK51: (secrecy_specID > secrecy_Keys > secrecy_specID)).
% 0.51/0.45 thf(func_def_123, type, sK52: ((secrecy_KS > $o) > secrecy_Secrets)).
% 0.51/0.45 thf(func_def_124, type, sK53: ((secrecy_KS > $o) > secrecy_Keys)).
% 0.51/0.45 thf(func_def_125, type, sK54: !>[X0: $tType]:((set @ X0 > X0))).
% 0.51/0.45 thf(func_def_126, type, sK55: !>[X0: $tType]:((set @ X0 > X0))).
% 0.51/0.45 thf(func_def_127, type, sK56: (set @ secrecy_chanID > secrecy_specID > secrecy_chanID)).
% 0.51/0.45 thf(func_def_128, type, sK57: (secrecy_specID > set @ secrecy_chanID > secrecy_chanID)).
% 0.51/0.45 thf(func_def_129, type, sK58: (secrecy_specID > secrecy_Secrets > secrecy_chanID)).
% 0.51/0.45 thf(func_def_130, type, sK59: !>[X0: $tType]:(((X0 > $o) > set @ X0 > X0))).
% 0.51/0.45 thf(func_def_131, type, sK60: !>[X0: $tType]:(((X0 > $o) > set @ X0 > X0))).
% 0.51/0.45 thf(func_def_132, type, sK61: !>[X0: $tType]:(((X0 > $o) > set @ X0 > set @ X0 > X0))).
% 0.51/0.45 thf(func_def_133, type, sK62: (secrecy_Expression > secrecy_specID > secrecy_chanID)).
% 0.51/0.45 thf(func_def_134, type, sK63: !>[X0: $tType]:((set @ X0 > X0 > set @ X0))).
% 0.51/0.45 thf(func_def_136, type, inv_secrecy_sKS_65: (secrecy_KS > secrecy_Secrets)).
% 0.51/0.45 thf(func_def_137, type, inv_secrecy_sE_66: (secrecy_Expression > secrecy_Secrets)).
% 0.51/0.45 thf(func_def_138, type, inv_secrecy_kE_67: (secrecy_Expression > secrecy_Keys)).
% 0.51/0.45 thf(func_def_139, type, inv_secrecy_kKS_68: (secrecy_KS > secrecy_Keys)).
% 0.51/0.45 thf(f1,axiom,(
% 0.51/0.45 (correc965049635ionLoc @ pq)),
% 0.51/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_cCompLoc)).
% 0.51/0.45 thf(f2,axiom,(
% 0.51/0.45 ~(ine @ p @ (secrecy_sE @ secret))),
% 0.51/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_sg1a)).
% 0.51/0.45 thf(f3,axiom,(
% 0.51/0.45 ~(ine @ q @ (secrecy_sE @ secret))),
% 0.51/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_sg2a)).
% 0.51/0.45 thf(f4,axiom,(
% 0.51/0.45 ~(member @ secrecy_KS @ (secrecy_sKS @ secret) @ (localSecrets @ p))),
% 0.51/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_sg1b)).
% 0.51/0.45 thf(f5,axiom,(
% 0.51/0.45 ~(member @ secrecy_KS @ (secrecy_sKS @ secret) @ (localSecrets @ q))),
% 0.51/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_sg2b)).
% 0.51/0.45 thf(f6,axiom,(
% 0.51/0.45 (((subcomponents @ pq)) = ((insert @ secrecy_specID @ p @ (insert @ secrecy_specID @ q @ bot_bot @ set @ secrecy_specID))))),
% 0.51/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5_subPQ)).
% 0.51/0.45 thf(f16,axiom,(
% 0.51/0.45 ! [X3 : secrecy_specID,X1 : secrecy_specID,X2 : secrecy_specID,X0 : secrecy_Secrets] : ((member @ secrecy_KS @ (secrecy_sKS @ X0) @ (localSecrets @ X1)) => ((((subcomponents @ X1)) = ((insert @ secrecy_specID @ X2 @ (insert @ secrecy_specID @ X3 @ bot_bot @ set @ secrecy_specID)))) => ((correc965049635ionLoc @ X1) => (~(ine @ X3 @ (secrecy_sE @ X0)) => (~(member @ secrecy_KS @ (secrecy_sKS @ X0) @ (localSecrets @ X2)) => (~(member @ secrecy_KS @ (secrecy_sKS @ X0) @ (localSecrets @ X3)) => (ine @ X2 @ (secrecy_sE @ X0))))))))),
% 0.51/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_15_LocalSecretsComposition__ine1__s)).
% 0.51/0.45 thf(f281,conjecture,(
% 0.51/0.45 ~(member @ secrecy_KS @ (secrecy_sKS @ secret) @ (localSecrets @ pq))),
% 0.51/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 0.51/0.45 thf(f282,negated_conjecture,(
% 0.51/0.45 ~ ~(member @ secrecy_KS @ (secrecy_sKS @ secret) @ (localSecrets @ pq))),
% 0.51/0.45 inference(negated_conjecture,[status(cth)],[f281])).
% 0.51/0.45 thf(f343,plain,(
% 0.51/0.45 ~(ine @ q @ (secrecy_sE @ secret))),
% 0.51/0.45 inference(rectify,[],[f3])).
% 0.51/0.45 thf(f344,plain,(
% 0.51/0.45 ~ (((ine @ q @ (secrecy_sE @ secret))) = $true)),
% 0.51/0.45 inference(fool_elimination,[],[f343])).
% 0.51/0.45 thf(f523,plain,(
% 0.51/0.45 (correc965049635ionLoc @ pq)),
% 0.51/0.45 inference(rectify,[],[f1])).
% 0.51/0.45 thf(f524,plain,(
% 0.51/0.45 (((correc965049635ionLoc @ pq)) = $true)),
% 0.51/0.45 inference(fool_elimination,[],[f523])).
% 0.51/0.45 thf(f557,plain,(
% 0.51/0.45 ~(member @ secrecy_KS @ (secrecy_sKS @ secret) @ (localSecrets @ q))),
% 0.51/0.45 inference(rectify,[],[f5])).
% 0.51/0.45 thf(f558,plain,(
% 0.51/0.45 ~ (((member @ secrecy_KS @ (secrecy_sKS @ secret) @ (localSecrets @ q))) = $true)),
% 0.51/0.45 inference(fool_elimination,[],[f557])).
% 0.51/0.45 thf(f621,plain,(
% 0.51/0.45 ~(member @ secrecy_KS @ (secrecy_sKS @ secret) @ (localSecrets @ p))),
% 0.51/0.45 inference(rectify,[],[f4])).
% 0.51/0.45 thf(f622,plain,(
% 0.51/0.45 ~ (((member @ secrecy_KS @ (secrecy_sKS @ secret) @ (localSecrets @ p))) = $true)),
% 0.51/0.45 inference(fool_elimination,[],[f621])).
% 0.51/0.45 thf(f726,plain,(
% 0.51/0.45 ~(ine @ p @ (secrecy_sE @ secret))),
% 0.51/0.45 inference(rectify,[],[f2])).
% 0.51/0.45 thf(f727,plain,(
% 0.51/0.45 ~ (((ine @ p @ (secrecy_sE @ secret))) = $true)),
% 0.51/0.45 inference(fool_elimination,[],[f726])).
% 0.51/0.45 thf(f763,plain,(
% 0.51/0.45 ! [X0 : secrecy_specID,X1 : secrecy_specID,X2 : secrecy_specID,X3 : secrecy_Secrets] : ((member @ secrecy_KS @ (secrecy_sKS @ X3) @ (localSecrets @ X1)) => ((((subcomponents @ X1)) = ((insert @ secrecy_specID @ X2 @ (insert @ secrecy_specID @ X0 @ bot_bot @ set @ secrecy_specID)))) => ((correc965049635ionLoc @ X1) => (~(ine @ X0 @ (secrecy_sE @ X3)) => (~(member @ secrecy_KS @ (secrecy_sKS @ X3) @ (localSecrets @ X2)) => (~(member @ secrecy_KS @ (secrecy_sKS @ X3) @ (localSecrets @ X0)) => (ine @ X2 @ (secrecy_sE @ X3))))))))),
% 0.51/0.45 inference(rectify,[],[f16])).
% 0.51/0.45 thf(f764,plain,(
% 0.51/0.45 ! [X0 : secrecy_specID,X1 : secrecy_specID,X2 : secrecy_specID,X3 : secrecy_Secrets] : ((((member @ secrecy_KS @ (secrecy_sKS @ X3) @ (localSecrets @ X1))) = $true) => ((((subcomponents @ X1)) = ((insert @ secrecy_specID @ X2 @ (insert @ secrecy_specID @ X0 @ bot_bot @ set @ secrecy_specID)))) => ((((correc965049635ionLoc @ X1)) = $true) => (~ ($true = ((ine @ X0 @ (secrecy_sE @ X3)))) => (~ (((member @ secrecy_KS @ (secrecy_sKS @ X3) @ (localSecrets @ X2))) = $true) => (~ (((member @ secrecy_KS @ (secrecy_sKS @ X3) @ (localSecrets @ X0))) = $true) => (((ine @ X2 @ (secrecy_sE @ X3))) = $true)))))))),
% 0.51/0.45 inference(fool_elimination,[],[f763])).
% 0.51/0.45 thf(f774,plain,(
% 0.51/0.45 ~ ~(member @ secrecy_KS @ (secrecy_sKS @ secret) @ (localSecrets @ pq))),
% 0.51/0.45 inference(rectify,[],[f282])).
% 0.51/0.45 thf(f775,plain,(
% 0.51/0.45 ~ ~ (((member @ secrecy_KS @ (secrecy_sKS @ secret) @ (localSecrets @ pq))) = $true)),
% 0.51/0.45 inference(fool_elimination,[],[f774])).
% 0.51/0.45 thf(f791,plain,(
% 0.51/0.45 (((ine @ q @ (secrecy_sE @ secret))) != $true)),
% 0.51/0.45 inference(flattening,[],[f344])).
% 0.51/0.45 thf(f843,plain,(
% 0.51/0.45 (((member @ secrecy_KS @ (secrecy_sKS @ secret) @ (localSecrets @ q))) != $true)),
% 0.51/0.45 inference(flattening,[],[f558])).
% 0.51/0.45 thf(f855,plain,(
% 0.51/0.45 (((member @ secrecy_KS @ (secrecy_sKS @ secret) @ (localSecrets @ p))) != $true)),
% 0.51/0.45 inference(flattening,[],[f622])).
% 0.51/0.45 thf(f872,plain,(
% 0.51/0.45 (((ine @ p @ (secrecy_sE @ secret))) != $true)),
% 0.51/0.45 inference(flattening,[],[f727])).
% 0.51/0.45 thf(f881,plain,(
% 0.51/0.45 ! [X1 : secrecy_specID,X0 : secrecy_specID,X3 : secrecy_Secrets,X2 : secrecy_specID] : ((((member @ secrecy_KS @ (secrecy_sKS @ X3) @ (localSecrets @ X1))) = $true) => ((((subcomponents @ X1)) = ((insert @ secrecy_specID @ X2 @ (insert @ secrecy_specID @ X0 @ bot_bot @ set @ secrecy_specID)))) => ((((correc965049635ionLoc @ X1)) = $true) => (($true != ((ine @ X0 @ (secrecy_sE @ X3)))) => ((((member @ secrecy_KS @ (secrecy_sKS @ X3) @ (localSecrets @ X2))) != $true) => ((((member @ secrecy_KS @ (secrecy_sKS @ X3) @ (localSecrets @ X0))) != $true) => (((ine @ X2 @ (secrecy_sE @ X3))) = $true)))))))),
% 0.51/0.45 inference(flattening,[],[f764])).
% 0.51/0.45 thf(f883,plain,(
% 0.51/0.45 (((member @ secrecy_KS @ (secrecy_sKS @ secret) @ (localSecrets @ pq))) = $true)),
% 0.51/0.45 inference(flattening,[],[f775])).
% 0.51/0.45 thf(f902,plain,(
% 0.51/0.45 ! [X1 : secrecy_specID,X0 : secrecy_specID,X3 : secrecy_Secrets,X2 : secrecy_specID] : (((((((((ine @ X2 @ (secrecy_sE @ X3))) = $true) | (((member @ secrecy_KS @ (secrecy_sKS @ X3) @ (localSecrets @ X0))) = $true)) | (((member @ secrecy_KS @ (secrecy_sKS @ X3) @ (localSecrets @ X2))) = $true)) | ($true = ((ine @ X0 @ (secrecy_sE @ X3))))) | (((correc965049635ionLoc @ X1)) != $true)) | (((subcomponents @ X1)) != ((insert @ secrecy_specID @ X2 @ (insert @ secrecy_specID @ X0 @ bot_bot @ set @ secrecy_specID))))) | (((member @ secrecy_KS @ (secrecy_sKS @ X3) @ (localSecrets @ X1))) != $true))),
% 0.51/0.45 inference(ennf_transformation,[],[f881])).
% 0.51/0.45 thf(f903,plain,(
% 0.51/0.45 ! [X0 : secrecy_specID,X3 : secrecy_Secrets,X2 : secrecy_specID,X1 : secrecy_specID] : ((((subcomponents @ X1)) != ((insert @ secrecy_specID @ X2 @ (insert @ secrecy_specID @ X0 @ bot_bot @ set @ secrecy_specID)))) | (((ine @ X2 @ (secrecy_sE @ X3))) = $true) | (((correc965049635ionLoc @ X1)) != $true) | ($true = ((ine @ X0 @ (secrecy_sE @ X3)))) | (((member @ secrecy_KS @ (secrecy_sKS @ X3) @ (localSecrets @ X0))) = $true) | (((member @ secrecy_KS @ (secrecy_sKS @ X3) @ (localSecrets @ X2))) = $true) | (((member @ secrecy_KS @ (secrecy_sKS @ X3) @ (localSecrets @ X1))) != $true))),
% 0.51/0.45 inference(flattening,[],[f902])).
% 0.51/0.45 thf(f1173,plain,(
% 0.51/0.45 ! [X0 : secrecy_specID,X1 : secrecy_Secrets,X2 : secrecy_specID,X3 : secrecy_specID] : ((((subcomponents @ X3)) != ((insert @ secrecy_specID @ X2 @ (insert @ secrecy_specID @ X0 @ bot_bot @ set @ secrecy_specID)))) | (((ine @ X2 @ (secrecy_sE @ X1))) = $true) | (((correc965049635ionLoc @ X3)) != $true) | (((ine @ X0 @ (secrecy_sE @ X1))) = $true) | (((member @ secrecy_KS @ (secrecy_sKS @ X1) @ (localSecrets @ X0))) = $true) | ($true = ((member @ secrecy_KS @ (secrecy_sKS @ X1) @ (localSecrets @ X2)))) | ($true != ((member @ secrecy_KS @ (secrecy_sKS @ X1) @ (localSecrets @ X3)))))),
% 0.51/0.45 inference(rectify,[],[f903])).
% 0.51/0.45 thf(f1436,plain,(
% 0.51/0.45 ( ! [X2 : secrecy_specID,X3 : secrecy_specID,X0 : secrecy_specID,X1 : secrecy_Secrets] : ((((subcomponents @ X3)) != ((insert @ secrecy_specID @ X2 @ (insert @ secrecy_specID @ X0 @ bot_bot @ set @ secrecy_specID)))) | (((correc965049635ionLoc @ X3)) != $true) | (((member @ secrecy_KS @ (secrecy_sKS @ X1) @ (localSecrets @ X0))) = $true) | (((ine @ X0 @ (secrecy_sE @ X1))) = $true) | (((ine @ X2 @ (secrecy_sE @ X1))) = $true) | ($true = ((member @ secrecy_KS @ (secrecy_sKS @ X1) @ (localSecrets @ X2)))) | ($true != ((member @ secrecy_KS @ (secrecy_sKS @ X1) @ (localSecrets @ X3))))) )),
% 0.51/0.45 inference(cnf_transformation,[],[f1173])).
% 0.51/0.45 thf(f1471,plain,(
% 0.51/0.45 (((member @ secrecy_KS @ (secrecy_sKS @ secret) @ (localSecrets @ p))) != $true)),
% 0.51/0.45 inference(cnf_transformation,[],[f855])).
% 0.51/0.45 thf(f1510,plain,(
% 0.51/0.45 (((correc965049635ionLoc @ pq)) = $true)),
% 0.51/0.45 inference(cnf_transformation,[],[f524])).
% 0.51/0.45 thf(f1563,plain,(
% 0.51/0.45 (((ine @ q @ (secrecy_sE @ secret))) != $true)),
% 0.51/0.45 inference(cnf_transformation,[],[f791])).
% 0.51/0.45 thf(f1582,plain,(
% 0.51/0.45 (((member @ secrecy_KS @ (secrecy_sKS @ secret) @ (localSecrets @ pq))) = $true)),
% 0.51/0.45 inference(cnf_transformation,[],[f883])).
% 0.51/0.45 thf(f1728,plain,(
% 0.51/0.45 (((subcomponents @ pq)) = ((insert @ secrecy_specID @ p @ (insert @ secrecy_specID @ q @ bot_bot @ set @ secrecy_specID))))),
% 0.51/0.45 inference(cnf_transformation,[],[f6])).
% 0.51/0.45 thf(f1774,plain,(
% 0.51/0.45 (((ine @ p @ (secrecy_sE @ secret))) != $true)),
% 0.51/0.45 inference(cnf_transformation,[],[f872])).
% 0.51/0.45 thf(f1868,plain,(
% 0.51/0.45 (((member @ secrecy_KS @ (secrecy_sKS @ secret) @ (localSecrets @ q))) != $true)),
% 0.51/0.45 inference(cnf_transformation,[],[f843])).
% 0.51/0.45 thf(f2023,definition,(
% 0.51/0.45 spl64_8 <=> (((correc965049635ionLoc @ pq)) = $true)),
% 0.51/0.45 introduced(definition,[new_symbols(definition,[spl64_8])],[avatar_definition])).
% 0.51/0.45 thf(f2025,plain,(
% 0.51/0.45 (((correc965049635ionLoc @ pq)) = $true) | ~spl64_8),
% 0.51/0.45 inference(avatar_component_clause,[],[f2023])).
% 0.51/0.45 thf(f2026,plain,(
% 0.51/0.45 spl64_8),
% 0.51/0.45 inference(avatar_split_clause,[],[f1510,f2023])).
% 0.51/0.45 thf(f2028,definition,(
% 0.51/0.45 spl64_9 <=> (((ine @ p @ (secrecy_sE @ secret))) = $true)),
% 0.51/0.45 introduced(definition,[new_symbols(definition,[spl64_9])],[avatar_definition])).
% 0.51/0.45 thf(f2030,plain,(
% 0.51/0.45 (((ine @ p @ (secrecy_sE @ secret))) != $true) | spl64_9),
% 0.51/0.45 inference(avatar_component_clause,[],[f2028])).
% 0.51/0.45 thf(f2031,plain,(
% 0.51/0.45 ~spl64_9),
% 0.51/0.45 inference(avatar_split_clause,[],[f1774,f2028])).
% 0.51/0.45 thf(f2058,definition,(
% 0.51/0.45 spl64_15 <=> (((member @ secrecy_KS @ (secrecy_sKS @ secret) @ (localSecrets @ p))) = $true)),
% 0.51/0.45 introduced(definition,[new_symbols(definition,[spl64_15])],[avatar_definition])).
% 0.51/0.45 thf(f2060,plain,(
% 0.51/0.45 (((member @ secrecy_KS @ (secrecy_sKS @ secret) @ (localSecrets @ p))) != $true) | spl64_15),
% 0.51/0.45 inference(avatar_component_clause,[],[f2058])).
% 0.51/0.45 thf(f2061,plain,(
% 0.51/0.45 ~spl64_15),
% 0.51/0.45 inference(avatar_split_clause,[],[f1471,f2058])).
% 0.51/0.45 thf(f2093,definition,(
% 0.51/0.45 spl64_22 <=> (((member @ secrecy_KS @ (secrecy_sKS @ secret) @ (localSecrets @ pq))) = $true)),
% 0.51/0.45 introduced(definition,[new_symbols(definition,[spl64_22])],[avatar_definition])).
% 0.51/0.45 thf(f2095,plain,(
% 0.51/0.45 (((member @ secrecy_KS @ (secrecy_sKS @ secret) @ (localSecrets @ pq))) = $true) | ~spl64_22),
% 0.51/0.45 inference(avatar_component_clause,[],[f2093])).
% 0.51/0.45 thf(f2096,plain,(
% 0.51/0.45 spl64_22),
% 0.51/0.45 inference(avatar_split_clause,[],[f1582,f2093])).
% 0.51/0.45 thf(f2103,definition,(
% 0.51/0.45 spl64_24 <=> (((ine @ q @ (secrecy_sE @ secret))) = $true)),
% 0.51/0.45 introduced(definition,[new_symbols(definition,[spl64_24])],[avatar_definition])).
% 0.51/0.45 thf(f2105,plain,(
% 0.51/0.45 (((ine @ q @ (secrecy_sE @ secret))) != $true) | spl64_24),
% 0.51/0.45 inference(avatar_component_clause,[],[f2103])).
% 0.51/0.45 thf(f2106,plain,(
% 0.51/0.45 ~spl64_24),
% 0.51/0.45 inference(avatar_split_clause,[],[f1563,f2103])).
% 0.51/0.45 thf(f2113,definition,(
% 0.51/0.45 spl64_26 <=> (((member @ secrecy_KS @ (secrecy_sKS @ secret) @ (localSecrets @ q))) = $true)),
% 0.51/0.45 introduced(definition,[new_symbols(definition,[spl64_26])],[avatar_definition])).
% 0.51/0.45 thf(f2115,plain,(
% 0.51/0.45 (((member @ secrecy_KS @ (secrecy_sKS @ secret) @ (localSecrets @ q))) != $true) | spl64_26),
% 0.51/0.45 inference(avatar_component_clause,[],[f2113])).
% 0.51/0.45 thf(f2116,plain,(
% 0.51/0.45 ~spl64_26),
% 0.51/0.45 inference(avatar_split_clause,[],[f1868,f2113])).
% 0.51/0.45 thf(f2158,definition,(
% 0.51/0.45 spl64_35 <=> (((subcomponents @ pq)) = ((insert @ secrecy_specID @ p @ (insert @ secrecy_specID @ q @ bot_bot @ set @ secrecy_specID))))),
% 0.51/0.45 introduced(definition,[new_symbols(definition,[spl64_35])],[avatar_definition])).
% 0.51/0.45 thf(f2160,plain,(
% 0.51/0.45 (((subcomponents @ pq)) = ((insert @ secrecy_specID @ p @ (insert @ secrecy_specID @ q @ bot_bot @ set @ secrecy_specID)))) | ~spl64_35),
% 0.51/0.45 inference(avatar_component_clause,[],[f2158])).
% 0.51/0.45 thf(f2161,plain,(
% 0.51/0.45 spl64_35),
% 0.51/0.45 inference(avatar_split_clause,[],[f1728,f2158])).
% 0.51/0.45 thf(f2195,plain,(
% 0.51/0.45 ( ! [X2 : secrecy_Secrets,X0 : secrecy_specID,X1 : secrecy_specID] : (($true = ((member @ secrecy_KS @ (secrecy_sKS @ X2) @ (localSecrets @ X1)))) | (((correc965049635ionLoc @ pq)) != $true) | ($true = ((ine @ X0 @ (secrecy_sE @ X2)))) | (((insert @ secrecy_specID @ p @ (insert @ secrecy_specID @ q @ bot_bot @ set @ secrecy_specID))) != ((insert @ secrecy_specID @ X0 @ (insert @ secrecy_specID @ X1 @ bot_bot @ set @ secrecy_specID)))) | ($true = ((member @ secrecy_KS @ (secrecy_sKS @ X2) @ (localSecrets @ X0)))) | (((ine @ X1 @ (secrecy_sE @ X2))) = $true) | ($true != ((member @ secrecy_KS @ (secrecy_sKS @ X2) @ (localSecrets @ pq))))) ) | ~spl64_35),
% 0.51/0.45 inference(superposition,[],[f1436,f2160])).
% 0.51/0.45 thf(f2196,plain,(
% 0.51/0.45 ( ! [X2 : secrecy_Secrets,X0 : secrecy_specID,X1 : secrecy_specID] : ((((insert @ secrecy_specID @ p @ (insert @ secrecy_specID @ q @ bot_bot @ set @ secrecy_specID))) != ((insert @ secrecy_specID @ X0 @ (insert @ secrecy_specID @ X1 @ bot_bot @ set @ secrecy_specID)))) | ($true = ((ine @ X0 @ (secrecy_sE @ X2)))) | ($true = ((member @ secrecy_KS @ (secrecy_sKS @ X2) @ (localSecrets @ X0)))) | ($true = ((member @ secrecy_KS @ (secrecy_sKS @ X2) @ (localSecrets @ X1)))) | ($true != ((member @ secrecy_KS @ (secrecy_sKS @ X2) @ (localSecrets @ pq)))) | (((ine @ X1 @ (secrecy_sE @ X2))) = $true)) ) | (~spl64_8 | ~spl64_35)),
% 0.51/0.45 inference(forward_subsumption_resolution,[],[f2195,f2025])).
% 0.51/0.45 thf(f2310,plain,(
% 0.51/0.45 ( ! [X0 : secrecy_Secrets] : (($true = ((member @ secrecy_KS @ (secrecy_sKS @ X0) @ (localSecrets @ p)))) | ($true != ((member @ secrecy_KS @ (secrecy_sKS @ X0) @ (localSecrets @ pq)))) | (((member @ secrecy_KS @ (secrecy_sKS @ X0) @ (localSecrets @ q))) = $true) | ($true = ((ine @ p @ (secrecy_sE @ X0)))) | (((ine @ q @ (secrecy_sE @ X0))) = $true)) ) | (~spl64_8 | ~spl64_35)),
% 0.51/0.45 inference(equality_resolution,[],[f2196])).
% 0.51/0.45 thf(f2397,plain,(
% 0.51/0.45 (((ine @ q @ (secrecy_sE @ secret))) = $true) | (((member @ secrecy_KS @ (secrecy_sKS @ secret) @ (localSecrets @ pq))) != $true) | (((ine @ p @ (secrecy_sE @ secret))) = $true) | ($true != $true) | (((member @ secrecy_KS @ (secrecy_sKS @ secret) @ (localSecrets @ q))) = $true) | (~spl64_8 | spl64_15 | ~spl64_35)),
% 0.51/0.45 inference(superposition,[],[f2060,f2310])).
% 0.51/0.45 thf(f2406,plain,(
% 0.51/0.45 (((ine @ q @ (secrecy_sE @ secret))) = $true) | (((ine @ p @ (secrecy_sE @ secret))) = $true) | (((member @ secrecy_KS @ (secrecy_sKS @ secret) @ (localSecrets @ q))) = $true) | (((member @ secrecy_KS @ (secrecy_sKS @ secret) @ (localSecrets @ pq))) != $true) | (~spl64_8 | spl64_15 | ~spl64_35)),
% 0.51/0.45 inference(trivial_inequality_removal,[],[f2397])).
% 0.51/0.45 thf(f2409,plain,(
% 0.51/0.45 (((member @ secrecy_KS @ (secrecy_sKS @ secret) @ (localSecrets @ pq))) != $true) | (((member @ secrecy_KS @ (secrecy_sKS @ secret) @ (localSecrets @ q))) = $true) | (((ine @ p @ (secrecy_sE @ secret))) = $true) | (~spl64_8 | spl64_15 | spl64_24 | ~spl64_35)),
% 0.51/0.45 inference(forward_subsumption_resolution,[],[f2406,f2105])).
% 0.51/0.45 thf(f2410,plain,(
% 0.51/0.45 (((member @ secrecy_KS @ (secrecy_sKS @ secret) @ (localSecrets @ q))) = $true) | (((ine @ p @ (secrecy_sE @ secret))) = $true) | (~spl64_8 | spl64_15 | ~spl64_22 | spl64_24 | ~spl64_35)),
% 0.51/0.45 inference(forward_subsumption_resolution,[],[f2409,f2095])).
% 0.51/0.45 thf(f2411,plain,(
% 0.51/0.45 (((ine @ p @ (secrecy_sE @ secret))) = $true) | (~spl64_8 | spl64_15 | ~spl64_22 | spl64_24 | spl64_26 | ~spl64_35)),
% 0.51/0.45 inference(forward_subsumption_resolution,[],[f2410,f2115])).
% 0.51/0.45 thf(f2412,plain,(
% 0.51/0.45 $false | (~spl64_8 | spl64_9 | spl64_15 | ~spl64_22 | spl64_24 | spl64_26 | ~spl64_35)),
% 0.51/0.45 inference(forward_subsumption_resolution,[],[f2411,f2030])).
% 0.51/0.45 thf(f2413,plain,(
% 0.51/0.45 ~spl64_8 | spl64_9 | spl64_15 | ~spl64_22 | spl64_24 | spl64_26 | ~spl64_35),
% 0.51/0.45 inference(avatar_contradiction_clause,[],[f2412])).
% 0.51/0.45 cnf(s8, plain, spl64_8, inference(sat_conversion,[],[f2026])).
% 0.51/0.45 cnf(s9, plain, ~spl64_9, inference(sat_conversion,[],[f2031])).
% 0.51/0.45 cnf(s15, plain, ~spl64_15, inference(sat_conversion,[],[f2061])).
% 0.51/0.45 cnf(s22, plain, spl64_22, inference(sat_conversion,[],[f2096])).
% 0.51/0.45 cnf(s24, plain, ~spl64_24, inference(sat_conversion,[],[f2106])).
% 0.51/0.45 cnf(s26, plain, ~spl64_26, inference(sat_conversion,[],[f2116])).
% 0.51/0.45 cnf(s35, plain, spl64_35, inference(sat_conversion,[],[f2161])).
% 0.51/0.45 cnf(s56, plain, ~spl64_8 | spl64_9 | spl64_15 | ~spl64_22 | spl64_24 | spl64_26 | ~spl64_35, inference(sat_conversion,[],[f2413])).
% 0.51/0.45 cnf(s58, plain, ~spl64_8, inference(rat,[],[s56,s35,s26,s24,s22,s15,s9])).
% 0.51/0.45 cnf(s59, plain, $false, inference(rat,[],[s8,s58])).
% 0.51/0.45 thf(f2414,plain,(
% 0.51/0.45 $false),
% 0.51/0.45 inference(avatar_sat_refutation,[],[s59])).
% 0.51/0.45 % SZS output end Proof for theBenchmark
% 0.51/0.45 % (1734369)------------------------------
% 0.51/0.45 % (1734369)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.45 % (1734369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.45 % (1734369)CaDiCaL version: 2.1.3
% 0.51/0.45 % (1734369)Termination reason: Refutation
% 0.51/0.45 % (1734369)Time elapsed: 0.112 s
% 0.51/0.45 % (1734369)Peak memory usage: 15 MB
% 0.51/0.45 % (1734369)Instructions burned: 228 (million)
% 0.51/0.45 % (1734361)Success in time 0.168 s
% 0.51/0.45 % Vampire exiting
%------------------------------------------------------------------------------