%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP091^2 : 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 : n002.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 0.46s 0.43s
% Output : Refutation 0.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP091^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n002.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Tue Sep 29 19:54:52 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.23 Running higher-order theorem proving
% 0.22/0.28 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
% 0.46/0.42 % (1764775)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.46/0.42 % (1764784)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1738070149:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.46/0.42 % (1764786)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.46/0.42 % (1764786)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
% 0.46/0.42 % (1764784)Instruction limit reached!
% 0.46/0.42 % (1764784)------------------------------
% 0.46/0.42 % (1764784)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.42 % (1764784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.42 % (1764784)CaDiCaL version: 2.1.3
% 0.46/0.42 % (1764784)Termination reason: Instruction limit
% 0.46/0.42 % (1764784)Termination phase: shuffling
% 0.46/0.42 % (1764784)Time elapsed: 0.006 s
% 0.46/0.42 % (1764784)Peak memory usage: 10 MB
% 0.46/0.42 % (1764784)Instructions burned: 24 (million)
% 0.46/0.42 % (1764782)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3823189762:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.46/0.42 % (1764781)lrs+10_16_si=on:nwc=1.5:random_seed=4140760339:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.46/0.42 % (1764783)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=1007041602: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)
% 0.46/0.42 % (1764785)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3350788360:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.46/0.42 % (1764786)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=1150662279:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.46/0.42 % (1764782)Instruction limit reached!
% 0.46/0.42 % (1764782)------------------------------
% 0.46/0.42 % (1764782)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.42 % (1764782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.42 % (1764782)CaDiCaL version: 2.1.3
% 0.46/0.42 % (1764782)Termination reason: Instruction limit
% 0.46/0.42 % (1764782)Termination phase: shuffling
% 0.46/0.42 % (1764782)Time elapsed: 0.003 s
% 0.46/0.42 % (1764782)Peak memory usage: 10 MB
% 0.46/0.42 % (1764782)Instructions burned: 5 (million)
% 0.46/0.42 % (1764780)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3019049877:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.46/0.42 % (1764781)Instruction limit reached!
% 0.46/0.42 % (1764781)------------------------------
% 0.46/0.42 % (1764781)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.42 % (1764781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.42 % (1764781)CaDiCaL version: 2.1.3
% 0.46/0.42 % (1764781)Termination reason: Instruction limit
% 0.46/0.42 % (1764781)Termination phase: shuffling
% 0.46/0.42 % (1764781)Time elapsed: 0.009 s
% 0.46/0.42 % (1764781)Peak memory usage: 10 MB
% 0.46/0.42 % (1764781)Instructions burned: 19 (million)
% 0.46/0.42 % (1764793)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1606726744:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.46/0.42 % (1764793)Instruction limit reached!
% 0.46/0.42 % (1764793)------------------------------
% 0.46/0.42 % (1764793)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.42 % (1764793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.42 % (1764793)CaDiCaL version: 2.1.3
% 0.46/0.42 % (1764793)Termination reason: Instruction limit
% 0.46/0.42 % (1764793)Termination phase: shuffling
% 0.46/0.42 % (1764793)Time elapsed: 0.001 s
% 0.46/0.42 % (1764793)Peak memory usage: 10 MB
% 0.46/0.42 % (1764793)Instructions burned: 4 (million)
% 0.46/0.42 % (1764794)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=4084124351:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.46/0.43 % (1764794)Instruction limit reached!
% 0.46/0.43 % (1764794)------------------------------
% 0.46/0.43 % (1764794)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.43 % (1764794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.43 % (1764794)CaDiCaL version: 2.1.3
% 0.46/0.43 % (1764794)Termination reason: Instruction limit
% 0.46/0.43 % (1764794)Termination phase: shuffling
% 0.46/0.43 % (1764794)Time elapsed: 0.003 s
% 0.46/0.43 % (1764794)Peak memory usage: 10 MB
% 0.46/0.43 % (1764794)Instructions burned: 6 (million)
% 0.46/0.43 % (1764798)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3906220086:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.46/0.43 % (1764796)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.46/0.43 % (1764798)Instruction limit reached!
% 0.46/0.43 % (1764798)------------------------------
% 0.46/0.43 % (1764798)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.43 % (1764798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.43 % (1764798)CaDiCaL version: 2.1.3
% 0.46/0.43 % (1764798)Termination reason: Instruction limit
% 0.46/0.43 % (1764798)Termination phase: shuffling
% 0.46/0.43 % (1764798)Time elapsed: 0.003 s
% 0.46/0.43 % (1764798)Peak memory usage: 10 MB
% 0.46/0.43 % (1764798)Instructions burned: 12 (million)
% 0.46/0.43 % (1764796)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=712212088:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.46/0.43 % (1764796)Instruction limit reached!
% 0.46/0.43 % (1764796)------------------------------
% 0.46/0.43 % (1764796)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.43 % (1764796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.43 % (1764796)CaDiCaL version: 2.1.3
% 0.46/0.43 % (1764796)Termination reason: Instruction limit
% 0.46/0.43 % (1764796)Termination phase: shuffling
% 0.46/0.43 % (1764796)Time elapsed: 0.004 s
% 0.46/0.43 % (1764796)Peak memory usage: 10 MB
% 0.46/0.43 % (1764796)Instructions burned: 8 (million)
% 0.46/0.43 % (1764785)Instruction limit reached!
% 0.46/0.43 % (1764785)------------------------------
% 0.46/0.43 % (1764785)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.43 % (1764785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.43 % (1764785)CaDiCaL version: 2.1.3
% 0.46/0.43 % (1764785)Termination reason: Instruction limit
% 0.46/0.43 % (1764785)Termination phase: Property scanning
% 0.46/0.43 % (1764785)Time elapsed: 0.036 s
% 0.46/0.43 % (1764785)Peak memory usage: 12 MB
% 0.46/0.43 % (1764785)Instructions burned: 76 (million)
% 0.46/0.43 % (1764802)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=870392040:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.46/0.43 % (1764801)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
% 0.46/0.43 % (1764801)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.46/0.43 % (1764801)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3706539850:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.46/0.43 % (1764805)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.46/0.43 % (1764805)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=2056807593:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.46/0.43 % (1764804)lrs+10_1_si=on:cs=on:random_seed=1021409719:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.46/0.43 % (1764805)Instruction limit reached!
% 0.46/0.43 % (1764805)------------------------------
% 0.46/0.43 % (1764805)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.43 % (1764805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.43 % (1764805)CaDiCaL version: 2.1.3
% 0.46/0.43 % (1764805)Termination reason: Instruction limit
% 0.46/0.43 % (1764805)Termination phase: shuffling
% 0.46/0.43 % (1764805)Time elapsed: 0.002 s
% 0.46/0.43 % (1764805)Peak memory usage: 10 MB
% 0.46/0.43 % (1764805)Instructions burned: 3 (million)
% 0.46/0.43 % (1764801)Instruction limit reached!
% 0.46/0.43 % (1764801)------------------------------
% 0.46/0.43 % (1764801)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.43 % (1764801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.43 % (1764801)CaDiCaL version: 2.1.3
% 0.46/0.43 % (1764801)Termination reason: Instruction limit
% 0.46/0.43 % (1764801)Termination phase: shuffling
% 0.46/0.43 % (1764801)Time elapsed: 0.014 s
% 0.46/0.43 % (1764801)Peak memory usage: 10 MB
% 0.46/0.43 % (1764801)Instructions burned: 30 (million)
% 0.46/0.43 % (1764802)Instruction limit reached!
% 0.46/0.43 % (1764802)------------------------------
% 0.46/0.43 % (1764802)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.43 % (1764802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.43 % (1764802)CaDiCaL version: 2.1.3
% 0.46/0.43 % (1764802)Termination reason: Instruction limit
% 0.46/0.43 % (1764802)Termination phase: Property scanning
% 0.46/0.43 % (1764802)Time elapsed: 0.020 s
% 0.46/0.43 % (1764802)Peak memory usage: 11 MB
% 0.46/0.43 % (1764802)Instructions burned: 89 (million)
% 0.46/0.43 % (1764804)Instruction limit reached!
% 0.46/0.43 % (1764804)------------------------------
% 0.46/0.43 % (1764804)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.43 % (1764804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.43 % (1764804)CaDiCaL version: 2.1.3
% 0.46/0.43 % (1764804)Termination reason: Instruction limit
% 0.46/0.43 % (1764804)Termination phase: shuffling
% 0.46/0.43 % (1764804)Time elapsed: 0.004 s
% 0.46/0.43 % (1764804)Peak memory usage: 10 MB
% 0.46/0.43 % (1764804)Instructions burned: 9 (million)
% 0.46/0.43 % (1764812)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2453126691:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.46/0.43 % (1764786)Instruction limit reached!
% 0.46/0.43 % (1764786)------------------------------
% 0.46/0.43 % (1764786)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.43 % (1764786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.43 % (1764786)CaDiCaL version: 2.1.3
% 0.46/0.43 % (1764786)Termination reason: Instruction limit
% 0.46/0.43 % (1764786)Termination phase: Saturation
% 0.46/0.43 % (1764786)Time elapsed: 0.075 s
% 0.46/0.43 % (1764786)Peak memory usage: 13 MB
% 0.46/0.43 % (1764786)Instructions burned: 158 (million)
% 0.46/0.43 % (1764810)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1459696136:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 0.46/0.43 % (1764811)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1840270343:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.46/0.43 % (1764812)Instruction limit reached!
% 0.46/0.43 % (1764812)------------------------------
% 0.46/0.43 % (1764812)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.43 % (1764812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.43 % (1764812)CaDiCaL version: 2.1.3
% 0.46/0.43 % (1764812)Termination reason: Instruction limit
% 0.46/0.43 % (1764812)Termination phase: shuffling
% 0.46/0.43 % (1764812)Time elapsed: 0.006 s
% 0.46/0.43 % (1764812)Peak memory usage: 10 MB
% 0.46/0.43 % (1764812)Instructions burned: 26 (million)
% 0.46/0.43 % (1764813)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3409890267:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.46/0.43 % (1764780)Instruction limit reached!
% 0.46/0.43 % (1764780)------------------------------
% 0.46/0.43 % (1764780)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.43 % (1764780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.43 % (1764780)CaDiCaL version: 2.1.3
% 0.46/0.43 % (1764780)Termination reason: Instruction limit
% 0.46/0.43 % (1764780)Termination phase: Property scanning
% 0.46/0.43 % (1764780)Time elapsed: 0.075 s
% 0.46/0.43 % (1764780)Peak memory usage: 11 MB
% 0.46/0.43 % (1764780)Instructions burned: 87 (million)
% 0.46/0.43 % (1764783) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1764775-1764783"...
% 0.46/0.43 % (1764783)...printing done.
% 0.46/0.43 % (1764783)Refutation found. Thanks to Tanya!
% 0.46/0.43 % SZS status Theorem for theBenchmark
% 0.46/0.43 % SZS output start Proof for theBenchmark
% 0.46/0.43 thf(type_def_5, type, secrecy_Expression: $tType).
% 0.46/0.43 thf(type_def_6, type, secrecy_Secrets: $tType).
% 0.46/0.43 thf(type_def_7, type, secrecy_specID: $tType).
% 0.46/0.43 thf(type_def_8, type, secrecy_chanID: $tType).
% 0.46/0.43 thf(type_def_9, type, secrecy_Keys: $tType).
% 0.46/0.43 thf(type_def_10, type, secrecy_KS: $tType).
% 0.46/0.43 thf(type_def_11, type, list: $tType > $tType).
% 0.46/0.43 thf(type_def_12, type, set: $tType > $tType).
% 0.46/0.43 thf(type_def_13, type, nat: $tType).
% 0.46/0.43 thf(type_def_14, type, sTfun: ($tType * $tType) > $tType).
% 0.46/0.43 thf(func_def_0, type, bounded_lattice: !>[X0: $tType]:($o)).
% 0.46/0.43 thf(func_def_1, type, type: !>[X0: $tType]:($o)).
% 0.46/0.43 thf(func_def_2, type, bot: !>[X0: $tType]:($o)).
% 0.46/0.43 thf(func_def_3, type, ord: !>[X0: $tType]:($o)).
% 0.46/0.43 thf(func_def_4, type, order: !>[X0: $tType]:($o)).
% 0.46/0.43 thf(func_def_5, type, linorder: !>[X0: $tType]:($o)).
% 0.46/0.43 thf(func_def_6, type, preorder: !>[X0: $tType]:($o)).
% 0.46/0.43 thf(func_def_7, type, bounde1808546759up_bot: !>[X0: $tType]:($o)).
% 0.46/0.43 thf(func_def_8, type, localSecrets: (secrecy_specID > set @ secrecy_KS)).
% 0.46/0.43 thf(func_def_9, type, knowle1667810483orrect: (secrecy_specID > secrecy_KS > $o)).
% 0.46/0.43 thf(func_def_10, type, knowle1437066798e_know: (secrecy_specID > secrecy_KS > $o)).
% 0.46/0.43 thf(func_def_11, type, sup_sup: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.46/0.43 thf(func_def_12, type, mem: !>[X0: $tType]:((X0 > list @ X0 > $o))).
% 0.46/0.43 thf(func_def_13, type, bot_bot: !>[X0: $tType]:(X0)).
% 0.46/0.43 thf(func_def_14, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.46/0.43 thf(func_def_15, type, correctCompositionKS: (secrecy_specID > $o)).
% 0.46/0.43 thf(func_def_16, type, eout: (secrecy_specID > secrecy_Expression > $o)).
% 0.46/0.43 thf(func_def_17, type, eoutM: (secrecy_specID > set @ secrecy_chanID > secrecy_Expression > $o)).
% 0.46/0.43 thf(func_def_18, type, exprChannel: (secrecy_chanID > secrecy_Expression > $o)).
% 0.46/0.43 thf(func_def_19, type, ine: (secrecy_specID > secrecy_Expression > $o)).
% 0.46/0.43 thf(func_def_20, type, ineM: (secrecy_specID > set @ secrecy_chanID > secrecy_Expression > $o)).
% 0.46/0.43 thf(func_def_21, type, ine_exprChannelSet: (secrecy_specID > set @ secrecy_chanID > secrecy_Expression > $o)).
% 0.46/0.43 thf(func_def_22, type, ine_ex1303305700Single: (secrecy_specID > secrecy_chanID > secrecy_Expression > $o)).
% 0.46/0.43 thf(func_def_23, type, notSpe1586871396tsExpr: (secrecy_specID > list @ secrecy_Expression > $o)).
% 0.46/0.43 thf(func_def_24, type, out_exprChannelSet: (secrecy_specID > set @ secrecy_chanID > secrecy_Expression > $o)).
% 0.46/0.43 thf(func_def_25, type, out_ex985543062Single: (secrecy_specID > secrecy_chanID > secrecy_Expression > $o)).
% 0.46/0.43 thf(func_def_26, type, specKeys: (secrecy_specID > set @ secrecy_Keys)).
% 0.46/0.43 thf(func_def_27, type, specKeysSecrets: (secrecy_specID > set @ secrecy_KS)).
% 0.46/0.43 thf(func_def_28, type, specSecrets: (secrecy_specID > set @ secrecy_Secrets)).
% 0.46/0.43 thf(func_def_29, type, secrecy_kE: (secrecy_Keys > secrecy_Expression)).
% 0.46/0.43 thf(func_def_30, type, secrecy_sE: (secrecy_Secrets > secrecy_Expression)).
% 0.46/0.43 thf(func_def_31, type, secrec1016742679ession: (secrecy_KS > secrecy_Expression)).
% 0.46/0.43 thf(func_def_32, type, secrecy_case_KS: !>[X0: $tType]:(((secrecy_Keys > X0) > (secrecy_Secrets > X0) > secrecy_KS > X0))).
% 0.46/0.43 thf(func_def_33, type, secrecy_kKS: (secrecy_Keys > secrecy_KS)).
% 0.46/0.43 thf(func_def_34, type, secrecy_rec_KS: !>[X0: $tType]:(((secrecy_Keys > X0) > (secrecy_Secrets > X0) > secrecy_KS > X0))).
% 0.46/0.43 thf(func_def_35, type, secrecy_sKS: (secrecy_Secrets > secrecy_KS)).
% 0.46/0.43 thf(func_def_36, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 0.46/0.43 thf(func_def_37, type, insert: !>[X0: $tType]:((X0 > set @ X0 > set @ X0))).
% 0.46/0.43 thf(func_def_38, type, is_empty: !>[X0: $tType]:((set @ X0 > $o))).
% 0.46/0.43 thf(func_def_39, type, is_singleton: !>[X0: $tType]:((set @ X0 > $o))).
% 0.46/0.43 thf(func_def_40, type, the_elem: !>[X0: $tType]:((set @ X0 > X0))).
% 0.46/0.43 thf(func_def_41, type, correctCompositionIn: (secrecy_specID > $o)).
% 0.46/0.43 thf(func_def_42, type, correc965049635ionLoc: (secrecy_specID > $o)).
% 0.46/0.43 thf(func_def_43, type, correc990227761ionOut: (secrecy_specID > $o)).
% 0.46/0.43 thf(func_def_44, type, inStream: (secrecy_specID > set @ secrecy_chanID > $o)).
% 0.46/0.43 thf(func_def_45, type, ins: (secrecy_specID > set @ secrecy_chanID)).
% 0.46/0.43 thf(func_def_46, type, loc: (secrecy_specID > set @ secrecy_chanID)).
% 0.46/0.43 thf(func_def_47, type, locStream: (secrecy_specID > set @ secrecy_chanID > $o)).
% 0.46/0.43 thf(func_def_48, type, out: (secrecy_specID > set @ secrecy_chanID)).
% 0.46/0.43 thf(func_def_49, type, outStream: (secrecy_specID > set @ secrecy_chanID > $o)).
% 0.46/0.43 thf(func_def_50, type, subcomponents: (secrecy_specID > set @ secrecy_specID)).
% 0.46/0.43 thf(func_def_51, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 0.46/0.43 thf(func_def_52, type, p: secrecy_specID).
% 0.46/0.43 thf(func_def_53, type, pq: secrecy_specID).
% 0.46/0.43 thf(func_def_54, type, q: secrecy_specID).
% 0.46/0.43 thf(func_def_55, type, m: secrecy_KS).
% 0.46/0.43 thf(func_def_56, type, secret: secrecy_Secrets).
% 0.46/0.43 thf(func_def_60, type, vAND: ($o > $o > $o)).
% 0.46/0.43 thf(func_def_61, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.46/0.43 thf(func_def_62, type, vIMP: ($o > $o > $o)).
% 0.46/0.43 thf(func_def_63, type, db0: !>[X0: $tType]:(X0)).
% 0.46/0.43 thf(func_def_64, type, db2: !>[X0: $tType]:(X0)).
% 0.46/0.43 thf(func_def_65, type, db1: !>[X0: $tType]:(X0)).
% 0.46/0.43 thf(func_def_66, type, db3: !>[X0: $tType]:(X0)).
% 0.46/0.43 thf(func_def_67, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.46/0.43 thf(func_def_68, type, vNOT: ($o > $o)).
% 0.46/0.43 thf(func_def_69, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.46/0.43 thf(func_def_70, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.46/0.43 thf(func_def_71, type, sP0: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 0.46/0.43 thf(func_def_72, type, sP1: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 0.46/0.43 thf(func_def_73, type, sK2: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 0.46/0.43 thf(func_def_74, type, sK3: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 0.46/0.43 thf(func_def_75, type, sK4: !>[X0: $tType]:((set @ X0 > set @ X0 > (X0 > $o) > X0))).
% 0.46/0.43 thf(func_def_76, type, sK5: (secrecy_KS > secrecy_specID > secrecy_specID > secrecy_Secrets)).
% 0.46/0.43 thf(func_def_77, type, sK6: (secrecy_KS > secrecy_specID > secrecy_specID > secrecy_Keys)).
% 0.46/0.43 thf(func_def_78, type, sK7: (set @ secrecy_chanID > secrecy_specID > secrecy_chanID)).
% 0.46/0.43 thf(func_def_79, type, sK8: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.46/0.43 thf(func_def_80, type, sK9: !>[X0: $tType]:((set @ X0 > X0))).
% 0.46/0.43 thf(func_def_81, type, sK10: !>[X0: $tType]:((set @ X0 > X0))).
% 0.46/0.43 thf(func_def_82, type, sK11: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.46/0.43 thf(func_def_83, type, sK12: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.46/0.43 thf(func_def_84, type, sK13: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.46/0.43 thf(func_def_85, type, sK14: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.46/0.43 thf(func_def_86, type, sK15: (set @ secrecy_chanID > secrecy_specID > secrecy_chanID)).
% 0.46/0.43 thf(func_def_87, type, sK16: (set @ secrecy_chanID > secrecy_specID > secrecy_chanID)).
% 0.46/0.43 thf(func_def_88, type, sK17: (secrecy_specID > set @ secrecy_chanID > secrecy_chanID)).
% 0.46/0.43 thf(func_def_89, type, sK18: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > X0))).
% 0.46/0.43 thf(func_def_90, type, sK19: (secrecy_specID > secrecy_Secrets > secrecy_chanID)).
% 0.46/0.43 thf(func_def_91, type, sK20: !>[X0: $tType]:((set @ X0 > X0))).
% 0.46/0.43 thf(func_def_92, type, sK21: (secrecy_KS > secrecy_Secrets)).
% 0.46/0.43 thf(func_def_93, type, sK22: (secrecy_KS > secrecy_Keys)).
% 0.46/0.43 thf(func_def_94, type, sK23: (secrecy_Secrets > secrecy_specID > secrecy_chanID)).
% 0.46/0.43 thf(func_def_95, type, sK24: (secrecy_Expression > secrecy_specID > secrecy_chanID)).
% 0.46/0.43 thf(func_def_96, type, sK25: ((secrecy_KS > $o) > secrecy_Keys)).
% 0.46/0.43 thf(func_def_97, type, sK26: ((secrecy_KS > $o) > secrecy_Secrets)).
% 0.46/0.43 thf(func_def_98, type, sK27: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.46/0.43 thf(func_def_99, type, sK28: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.46/0.43 thf(func_def_100, type, sK29: !>[X0: $tType]:((set @ X0 > X0))).
% 0.46/0.43 thf(func_def_101, type, sK30: !>[X0: $tType]:((set @ X0 > X0))).
% 0.46/0.43 thf(func_def_102, type, sK31: !>[X0: $tType]:((set @ X0 > set @ X0 > (X0 > $o) > X0))).
% 0.46/0.43 thf(func_def_103, type, sK32: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 0.46/0.43 thf(func_def_104, type, sK33: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 0.46/0.43 thf(func_def_105, type, sK34: !>[X0: $tType]:((X0 > X0 > set @ X0 > set @ X0 > set @ X0))).
% 0.46/0.43 thf(func_def_106, type, sK35: !>[X0: $tType]:((set @ X0 > X0))).
% 0.46/0.43 thf(func_def_107, type, sK36: (secrecy_specID > secrecy_specID > secrecy_KS > secrecy_Secrets)).
% 0.46/0.43 thf(func_def_108, type, sK37: (secrecy_specID > secrecy_specID > secrecy_KS > secrecy_Keys)).
% 0.46/0.43 thf(func_def_109, type, sK38: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.46/0.43 thf(func_def_110, type, sK39: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.46/0.43 thf(func_def_111, type, sK40: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 0.46/0.43 thf(func_def_112, type, sK41: !>[X0: $tType]:(((X0 > $o) > X0))).
% 0.46/0.43 thf(func_def_113, type, sK42: (secrecy_Keys > secrecy_specID > secrecy_chanID)).
% 0.46/0.43 thf(func_def_114, type, sK43: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.46/0.43 thf(func_def_115, type, sK44: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.46/0.43 thf(func_def_116, type, sK45: (secrecy_Secrets > secrecy_specID > secrecy_specID)).
% 0.46/0.43 thf(func_def_117, type, sK46: !>[X0: $tType]:(((X0 > $o) > X0))).
% 0.46/0.43 thf(func_def_118, type, sK47: (secrecy_specID > set @ secrecy_chanID > secrecy_chanID)).
% 0.46/0.43 thf(func_def_119, type, sK48: (secrecy_specID > set @ secrecy_chanID > secrecy_chanID)).
% 0.46/0.43 thf(func_def_120, type, sK49: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.46/0.43 thf(func_def_121, type, sK50: (secrecy_Keys > secrecy_specID > secrecy_specID)).
% 0.46/0.43 thf(func_def_122, type, sK51: (set @ secrecy_chanID > secrecy_specID > secrecy_chanID)).
% 0.46/0.43 thf(func_def_123, type, sK52: (secrecy_specID > set @ secrecy_chanID > secrecy_chanID)).
% 0.46/0.43 thf(func_def_124, type, sK53: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > X0))).
% 0.46/0.43 thf(func_def_125, type, sK54: (secrecy_specID > set @ secrecy_chanID > secrecy_chanID)).
% 0.46/0.43 thf(func_def_126, type, sK55: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.46/0.43 thf(func_def_127, type, sK56: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.46/0.43 thf(func_def_128, type, sK57: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.46/0.43 thf(func_def_129, type, sK58: (set @ secrecy_chanID > secrecy_specID > secrecy_chanID)).
% 0.46/0.43 thf(func_def_130, type, sK59: !>[X0: $tType]:((set @ X0 > X0 > set @ X0))).
% 0.46/0.43 thf(func_def_131, type, sK60: (set @ secrecy_chanID > secrecy_specID > secrecy_chanID)).
% 0.46/0.43 thf(func_def_132, type, sK61: (secrecy_specID > set @ secrecy_chanID > secrecy_chanID)).
% 0.46/0.43 thf(func_def_133, type, sK62: (secrecy_specID > secrecy_Keys > secrecy_chanID)).
% 0.46/0.43 thf(func_def_134, type, sK63: !>[X0: $tType]:((X0 > set @ X0 > set @ X0))).
% 0.46/0.43 thf(func_def_136, type, inv_secrecy_sKS_65: (secrecy_KS > secrecy_Secrets)).
% 0.46/0.43 thf(f1,axiom,(
% 0.46/0.43 ~(knowle1437066798e_know @ q @ m)),
% 0.46/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_not__knowQm)).
% 0.46/0.43 thf(f2,axiom,(
% 0.46/0.43 (m = ((secrecy_sKS @ secret)))),
% 0.46/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_a2)).
% 0.46/0.43 thf(f11,axiom,(
% 0.46/0.43 ! [X0 : secrecy_specID,X1 : secrecy_Secrets] : (((knowle1437066798e_know @ X0 @ (secrecy_sKS @ X1))) = (ine @ X0 @ (secrecy_sE @ X1)) | (member @ secrecy_KS @ (secrecy_sKS @ X1) @ (localSecrets @ X0)))),
% 0.46/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_10_know_Osimps_I2_J)).
% 0.46/0.43 thf(f281,conjecture,(
% 0.46/0.43 ~(member @ secrecy_KS @ (secrecy_sKS @ secret) @ (localSecrets @ q))),
% 0.46/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 0.46/0.43 thf(f282,negated_conjecture,(
% 0.46/0.43 ~ ~(member @ secrecy_KS @ (secrecy_sKS @ secret) @ (localSecrets @ q))),
% 0.46/0.43 inference(negated_conjecture,[status(cth)],[f281])).
% 0.46/0.43 thf(f332,plain,(
% 0.46/0.43 ~(knowle1437066798e_know @ q @ m)),
% 0.46/0.43 inference(rectify,[],[f1])).
% 0.46/0.43 thf(f333,plain,(
% 0.46/0.43 ~ (((knowle1437066798e_know @ q @ m)) = $true)),
% 0.46/0.43 inference(fool_elimination,[],[f332])).
% 0.46/0.43 thf(f489,plain,(
% 0.46/0.43 ~ ~(member @ secrecy_KS @ (secrecy_sKS @ secret) @ (localSecrets @ q))),
% 0.46/0.43 inference(rectify,[],[f282])).
% 0.46/0.43 thf(f490,plain,(
% 0.46/0.43 ~ ~ (((member @ secrecy_KS @ (secrecy_sKS @ secret) @ (localSecrets @ q))) = $true)),
% 0.46/0.43 inference(fool_elimination,[],[f489])).
% 0.46/0.43 thf(f565,plain,(
% 0.46/0.43 ! [X0 : secrecy_specID,X1 : secrecy_Secrets] : (((knowle1437066798e_know @ X0 @ (secrecy_sKS @ X1))) = (ine @ X0 @ (secrecy_sE @ X1)) | (member @ secrecy_KS @ (secrecy_sKS @ X1) @ (localSecrets @ X0)))),
% 0.46/0.43 inference(rectify,[],[f11])).
% 0.46/0.43 thf(f566,plain,(
% 0.46/0.43 ! [X1 : secrecy_Secrets,X0 : secrecy_specID] : (((((ine @ X0 @ (secrecy_sE @ X1))) = $true) | (((member @ secrecy_KS @ (secrecy_sKS @ X1) @ (localSecrets @ X0))) = $true)) <=> (((knowle1437066798e_know @ X0 @ (secrecy_sKS @ X1))) = $true))),
% 0.46/0.43 inference(fool_elimination,[],[f565])).
% 0.46/0.43 thf(f790,plain,(
% 0.46/0.43 (((knowle1437066798e_know @ q @ m)) != $true)),
% 0.46/0.43 inference(flattening,[],[f333])).
% 0.46/0.43 thf(f822,plain,(
% 0.46/0.43 (((member @ secrecy_KS @ (secrecy_sKS @ secret) @ (localSecrets @ q))) = $true)),
% 0.46/0.43 inference(flattening,[],[f490])).
% 0.46/0.43 thf(f1260,plain,(
% 0.46/0.43 ! [X1 : secrecy_Secrets,X0 : secrecy_specID] : ((((((ine @ X0 @ (secrecy_sE @ X1))) = $true) | (((member @ secrecy_KS @ (secrecy_sKS @ X1) @ (localSecrets @ X0))) = $true)) | (((knowle1437066798e_know @ X0 @ (secrecy_sKS @ X1))) != $true)) & ((((knowle1437066798e_know @ X0 @ (secrecy_sKS @ X1))) = $true) | ((((ine @ X0 @ (secrecy_sE @ X1))) != $true) & (((member @ secrecy_KS @ (secrecy_sKS @ X1) @ (localSecrets @ X0))) != $true))))),
% 0.46/0.43 inference(nnf_transformation,[],[f566])).
% 0.46/0.43 thf(f1261,plain,(
% 0.46/0.43 ! [X1 : secrecy_Secrets,X0 : secrecy_specID] : (((((ine @ X0 @ (secrecy_sE @ X1))) = $true) | (((member @ secrecy_KS @ (secrecy_sKS @ X1) @ (localSecrets @ X0))) = $true) | (((knowle1437066798e_know @ X0 @ (secrecy_sKS @ X1))) != $true)) & ((((knowle1437066798e_know @ X0 @ (secrecy_sKS @ X1))) = $true) | ((((ine @ X0 @ (secrecy_sE @ X1))) != $true) & (((member @ secrecy_KS @ (secrecy_sKS @ X1) @ (localSecrets @ X0))) != $true))))),
% 0.46/0.43 inference(flattening,[],[f1260])).
% 0.46/0.43 thf(f1262,plain,(
% 0.46/0.43 ! [X0 : secrecy_Secrets,X1 : secrecy_specID] : (((((ine @ X1 @ (secrecy_sE @ X0))) = $true) | (((member @ secrecy_KS @ (secrecy_sKS @ X0) @ (localSecrets @ X1))) = $true) | (((knowle1437066798e_know @ X1 @ (secrecy_sKS @ X0))) != $true)) & ((((knowle1437066798e_know @ X1 @ (secrecy_sKS @ X0))) = $true) | ((((ine @ X1 @ (secrecy_sE @ X0))) != $true) & (((member @ secrecy_KS @ (secrecy_sKS @ X0) @ (localSecrets @ X1))) != $true))))),
% 0.46/0.43 inference(rectify,[],[f1261])).
% 0.46/0.43 thf(f1500,plain,(
% 0.46/0.43 (m = ((secrecy_sKS @ secret)))),
% 0.46/0.43 inference(cnf_transformation,[],[f2])).
% 0.46/0.43 thf(f1605,plain,(
% 0.46/0.43 ( ! [X0 : secrecy_Secrets,X1 : secrecy_specID] : ((((member @ secrecy_KS @ (secrecy_sKS @ X0) @ (localSecrets @ X1))) != $true) | (((knowle1437066798e_know @ X1 @ (secrecy_sKS @ X0))) = $true)) )),
% 0.46/0.43 inference(cnf_transformation,[],[f1262])).
% 0.46/0.43 thf(f1759,plain,(
% 0.46/0.43 (((member @ secrecy_KS @ (secrecy_sKS @ secret) @ (localSecrets @ q))) = $true)),
% 0.46/0.43 inference(cnf_transformation,[],[f822])).
% 0.46/0.43 thf(f1886,plain,(
% 0.46/0.43 (((knowle1437066798e_know @ q @ m)) != $true)),
% 0.46/0.43 inference(cnf_transformation,[],[f790])).
% 0.46/0.43 thf(f2043,definition,(
% 0.46/0.43 spl64_10 <=> (m = ((secrecy_sKS @ secret)))),
% 0.46/0.43 introduced(definition,[new_symbols(definition,[spl64_10])],[avatar_definition])).
% 0.46/0.43 thf(f2045,plain,(
% 0.46/0.43 (m = ((secrecy_sKS @ secret))) | ~spl64_10),
% 0.46/0.43 inference(avatar_component_clause,[],[f2043])).
% 0.46/0.43 thf(f2046,plain,(
% 0.46/0.43 spl64_10),
% 0.46/0.43 inference(avatar_split_clause,[],[f1500,f2043])).
% 0.46/0.43 thf(f2103,definition,(
% 0.46/0.43 spl64_22 <=> (((member @ secrecy_KS @ (secrecy_sKS @ secret) @ (localSecrets @ q))) = $true)),
% 0.46/0.43 introduced(definition,[new_symbols(definition,[spl64_22])],[avatar_definition])).
% 0.46/0.43 thf(f2105,plain,(
% 0.46/0.43 (((member @ secrecy_KS @ (secrecy_sKS @ secret) @ (localSecrets @ q))) = $true) | ~spl64_22),
% 0.46/0.43 inference(avatar_component_clause,[],[f2103])).
% 0.46/0.43 thf(f2106,plain,(
% 0.46/0.43 spl64_22),
% 0.46/0.43 inference(avatar_split_clause,[],[f1759,f2103])).
% 0.46/0.43 thf(f2153,definition,(
% 0.46/0.43 spl64_32 <=> (((knowle1437066798e_know @ q @ m)) = $true)),
% 0.46/0.43 introduced(definition,[new_symbols(definition,[spl64_32])],[avatar_definition])).
% 0.46/0.43 thf(f2155,plain,(
% 0.46/0.43 (((knowle1437066798e_know @ q @ m)) != $true) | spl64_32),
% 0.46/0.43 inference(avatar_component_clause,[],[f2153])).
% 0.46/0.43 thf(f2156,plain,(
% 0.46/0.43 ~spl64_32),
% 0.46/0.43 inference(avatar_split_clause,[],[f1886,f2153])).
% 0.46/0.43 thf(f2167,plain,(
% 0.46/0.43 (((knowle1437066798e_know @ q @ (secrecy_sKS @ secret))) != $true) | (~spl64_10 | spl64_32)),
% 0.46/0.43 inference(forward_demodulation,[],[f2155,f2045])).
% 0.46/0.43 thf(f2169,definition,(
% 0.46/0.43 spl64_35 <=> (((knowle1437066798e_know @ q @ (secrecy_sKS @ secret))) = $true)),
% 0.46/0.43 introduced(definition,[new_symbols(definition,[spl64_35])],[avatar_definition])).
% 0.46/0.43 thf(f2172,plain,(
% 0.46/0.43 ~spl64_35 | ~spl64_10 | spl64_32),
% 0.46/0.43 inference(avatar_split_clause,[],[f2167,f2153,f2043,f2169])).
% 0.46/0.43 thf(f2185,plain,(
% 0.46/0.43 (((knowle1437066798e_know @ q @ (secrecy_sKS @ secret))) = $true) | ($true != $true) | ~spl64_22),
% 0.46/0.43 inference(superposition,[],[f1605,f2105])).
% 0.46/0.43 thf(f2187,plain,(
% 0.46/0.43 (((knowle1437066798e_know @ q @ (secrecy_sKS @ secret))) = $true) | ~spl64_22),
% 0.46/0.43 inference(trivial_inequality_removal,[],[f2185])).
% 0.46/0.43 thf(f2189,plain,(
% 0.46/0.43 spl64_35 | ~spl64_22),
% 0.46/0.43 inference(avatar_split_clause,[],[f2187,f2103,f2169])).
% 0.46/0.43 cnf(s10, plain, spl64_10, inference(sat_conversion,[],[f2046])).
% 0.46/0.43 cnf(s22, plain, spl64_22, inference(sat_conversion,[],[f2106])).
% 0.46/0.43 cnf(s32, plain, ~spl64_32, inference(sat_conversion,[],[f2156])).
% 0.46/0.43 cnf(s35, plain, ~spl64_10 | spl64_32 | ~spl64_35, inference(sat_conversion,[],[f2172])).
% 0.46/0.43 cnf(s36, plain, ~spl64_22 | spl64_35, inference(sat_conversion,[],[f2189])).
% 0.46/0.43 cnf(s39, plain, spl64_35, inference(rat,[],[s36,s22])).
% 0.46/0.43 cnf(s40, plain, ~spl64_10, inference(rat,[],[s35,s32,s39])).
% 0.46/0.43 cnf(s41, plain, $false, inference(rat,[],[s10,s40])).
% 0.46/0.43 thf(f2195,plain,(
% 0.46/0.43 $false),
% 0.46/0.43 inference(avatar_sat_refutation,[],[s41])).
% 0.46/0.43 % SZS output end Proof for theBenchmark
% 0.46/0.43 % (1764783)------------------------------
% 0.46/0.43 % (1764783)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.43 % (1764783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.43 % (1764783)CaDiCaL version: 2.1.3
% 0.46/0.43 % (1764783)Termination reason: Refutation
% 0.46/0.43 % (1764783)Time elapsed: 0.085 s
% 0.46/0.43 % (1764783)Peak memory usage: 15 MB
% 0.46/0.43 % (1764783)Instructions burned: 179 (million)
% 0.46/0.43 % (1764775)Success in time 0.138 s
% 0.46/0.43 % Vampire exiting
%------------------------------------------------------------------------------