%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : DAT244^1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 07:48:37 AM UTC 2026
% Result : Theorem 1.19s 0.48s
% Output : Refutation 1.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : DAT244^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n015.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Sep 29 18:17:33 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running higher-order theorem proving
% 0.21/0.28 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
% 0.53/0.41 % (3907900)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.53/0.41 % (3907911)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.53/0.41 % (3907911)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
% 0.53/0.41 % (3907911)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=3627562704:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.53/0.41 % (3907905)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1188012830:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.53/0.41 % (3907907)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=381476532:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.53/0.41 % (3907908)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=2455275281: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)
% 0.53/0.41 % (3907909)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3651500904:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.53/0.41 % (3907910)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2187657704:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.53/0.41 % (3907906)lrs+10_16_si=on:nwc=1.5:random_seed=989618651:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.53/0.41 % (3907907)Instruction limit reached!
% 0.53/0.41 % (3907907)------------------------------
% 0.53/0.41 % (3907907)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.41 % (3907907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.41 % (3907907)CaDiCaL version: 2.1.3
% 0.53/0.41 % (3907907)Termination reason: Instruction limit
% 0.53/0.41 % (3907907)Termination phase: shuffling
% 0.53/0.41 % (3907907)Time elapsed: 0.004 s
% 0.53/0.41 % (3907907)Peak memory usage: 10 MB
% 0.53/0.41 % (3907907)Instructions burned: 7 (million)
% 0.53/0.41 % (3907906)Instruction limit reached!
% 0.53/0.41 % (3907906)------------------------------
% 0.53/0.41 % (3907906)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.41 % (3907906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.41 % (3907906)CaDiCaL version: 2.1.3
% 0.53/0.41 % (3907906)Termination reason: Instruction limit
% 0.53/0.41 % (3907906)Termination phase: Property scanning
% 0.53/0.41 % (3907906)Time elapsed: 0.010 s
% 0.53/0.41 % (3907906)Peak memory usage: 10 MB
% 0.53/0.41 % (3907906)Instructions burned: 19 (million)
% 0.53/0.41 % (3907909)Instruction limit reached!
% 0.53/0.41 % (3907909)------------------------------
% 0.53/0.41 % (3907909)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.41 % (3907909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.41 % (3907909)CaDiCaL version: 2.1.3
% 0.53/0.41 % (3907909)Termination reason: Instruction limit
% 0.53/0.41 % (3907909)Termination phase: Property scanning
% 0.53/0.41 % (3907909)Time elapsed: 0.012 s
% 0.53/0.41 % (3907909)Peak memory usage: 10 MB
% 0.53/0.41 % (3907909)Instructions burned: 24 (million)
% 0.53/0.41 % (3907919)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1398844425:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.53/0.41 % (3907919)Instruction limit reached!
% 0.53/0.41 % (3907919)------------------------------
% 0.53/0.41 % (3907919)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.41 % (3907919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.41 % (3907919)CaDiCaL version: 2.1.3
% 0.53/0.41 % (3907919)Termination reason: Instruction limit
% 0.53/0.41 % (3907919)Termination phase: shuffling
% 0.53/0.41 % (3907919)Time elapsed: 0.002 s
% 0.53/0.41 % (3907919)Peak memory usage: 10 MB
% 0.53/0.41 % (3907919)Instructions burned: 3 (million)
% 0.53/0.41 % (3907921)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.53/0.43 % (3907920)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=94193855:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.53/0.43 % (3907921)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1904633877:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.53/0.43 % (3907920)Instruction limit reached!
% 0.53/0.43 % (3907920)------------------------------
% 0.53/0.43 % (3907920)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.43 % (3907920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.43 % (3907920)CaDiCaL version: 2.1.3
% 0.53/0.43 % (3907920)Termination reason: Instruction limit
% 0.53/0.43 % (3907920)Termination phase: shuffling
% 0.53/0.43 % (3907920)Time elapsed: 0.003 s
% 0.53/0.43 % (3907920)Peak memory usage: 10 MB
% 0.53/0.43 % (3907920)Instructions burned: 6 (million)
% 0.53/0.43 % (3907911)Instruction limit reached!
% 0.53/0.43 % (3907911)------------------------------
% 0.53/0.43 % (3907911)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.44 % (3907911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.44 % (3907911)CaDiCaL version: 2.1.3
% 0.53/0.44 % (3907911)Termination reason: Instruction limit
% 0.53/0.44 % (3907911)Termination phase: Saturation
% 0.53/0.44 % (3907911)Time elapsed: 0.042 s
% 0.53/0.44 % (3907911)Peak memory usage: 14 MB
% 0.53/0.44 % (3907911)Instructions burned: 158 (million)
% 0.53/0.44 % (3907921)Instruction limit reached!
% 0.53/0.44 % (3907921)------------------------------
% 0.53/0.44 % (3907921)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.44 % (3907921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.44 % (3907921)CaDiCaL version: 2.1.3
% 0.53/0.44 % (3907921)Termination reason: Instruction limit
% 0.53/0.44 % (3907921)Termination phase: shuffling
% 0.53/0.44 % (3907921)Time elapsed: 0.004 s
% 0.53/0.44 % (3907921)Peak memory usage: 10 MB
% 0.53/0.44 % (3907921)Instructions burned: 8 (million)
% 0.53/0.44 % (3907910)Instruction limit reached!
% 0.53/0.44 % (3907910)------------------------------
% 0.53/0.44 % (3907910)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.44 % (3907910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.44 % (3907910)CaDiCaL version: 2.1.3
% 0.53/0.44 % (3907910)Termination reason: Instruction limit
% 0.53/0.44 % (3907910)Termination phase: Property scanning
% 0.53/0.44 % (3907910)Time elapsed: 0.037 s
% 0.53/0.44 % (3907910)Peak memory usage: 12 MB
% 0.53/0.44 % (3907910)Instructions burned: 75 (million)
% 0.53/0.44 % (3907905)Instruction limit reached!
% 0.53/0.44 % (3907905)------------------------------
% 0.53/0.44 % (3907905)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.44 % (3907905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.44 % (3907905)CaDiCaL version: 2.1.3
% 0.53/0.44 % (3907905)Termination reason: Instruction limit
% 0.53/0.44 % (3907905)Termination phase: Property scanning
% 0.53/0.44 % (3907905)Time elapsed: 0.042 s
% 0.53/0.44 % (3907905)Peak memory usage: 12 MB
% 0.53/0.44 % (3907905)Instructions burned: 87 (million)
% 0.53/0.44 % (3907926)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
% 0.53/0.44 % (3907926)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.53/0.44 % (3907923)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2744076330:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.53/0.44 % (3907926)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2035822632:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.53/0.44 % (3907923)Instruction limit reached!
% 0.53/0.44 % (3907923)------------------------------
% 0.53/0.44 % (3907923)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.44 % (3907923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.44 % (3907923)CaDiCaL version: 2.1.3
% 0.53/0.44 % (3907923)Termination reason: Instruction limit
% 1.19/0.47 % (3907923)Termination phase: shuffling
% 1.19/0.47 % (3907923)Time elapsed: 0.006 s
% 1.19/0.47 % (3907923)Peak memory usage: 10 MB
% 1.19/0.47 % (3907923)Instructions burned: 12 (million)
% 1.19/0.47 % (3907929)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.19/0.47 % (3907926)Instruction limit reached!
% 1.19/0.47 % (3907926)------------------------------
% 1.19/0.47 % (3907926)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.47 % (3907926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.47 % (3907926)CaDiCaL version: 2.1.3
% 1.19/0.47 % (3907926)Termination reason: Instruction limit
% 1.19/0.47 % (3907926)Termination phase: shuffling
% 1.19/0.47 % (3907926)Time elapsed: 0.007 s
% 1.19/0.47 % (3907926)Peak memory usage: 10 MB
% 1.19/0.47 % (3907926)Instructions burned: 30 (million)
% 1.19/0.47 % (3907927)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=3567335274:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.19/0.47 % (3907928)lrs+10_1_si=on:cs=on:random_seed=1132360751:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.19/0.47 % (3907929)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=694864991:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.19/0.47 % (3907929)Instruction limit reached!
% 1.19/0.47 % (3907929)------------------------------
% 1.19/0.47 % (3907929)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.47 % (3907929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.47 % (3907929)CaDiCaL version: 2.1.3
% 1.19/0.47 % (3907929)Termination reason: Instruction limit
% 1.19/0.47 % (3907929)Termination phase: shuffling
% 1.19/0.47 % (3907929)Time elapsed: 0.002 s
% 1.19/0.47 % (3907929)Peak memory usage: 10 MB
% 1.19/0.47 % (3907929)Instructions burned: 3 (million)
% 1.19/0.47 % (3907928)Instruction limit reached!
% 1.19/0.47 % (3907928)------------------------------
% 1.19/0.47 % (3907928)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.47 % (3907928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.47 % (3907928)CaDiCaL version: 2.1.3
% 1.19/0.47 % (3907928)Termination reason: Instruction limit
% 1.19/0.47 % (3907928)Termination phase: shuffling
% 1.19/0.47 % (3907928)Time elapsed: 0.005 s
% 1.19/0.47 % (3907928)Peak memory usage: 10 MB
% 1.19/0.47 % (3907928)Instructions burned: 10 (million)
% 1.19/0.47 % (3907930)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=4163440165:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 1.19/0.47 % (3907934)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=468885794:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.19/0.47 % (3907934)Instruction limit reached!
% 1.19/0.47 % (3907934)------------------------------
% 1.19/0.47 % (3907934)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.47 % (3907934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.47 % (3907934)CaDiCaL version: 2.1.3
% 1.19/0.47 % (3907934)Termination reason: Instruction limit
% 1.19/0.47 % (3907934)Termination phase: Property scanning
% 1.19/0.47 % (3907934)Time elapsed: 0.006 s
% 1.19/0.47 % (3907934)Peak memory usage: 10 MB
% 1.19/0.47 % (3907934)Instructions burned: 25 (million)
% 1.19/0.47 % (3907933)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3646639347:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 1.19/0.47 % (3907938)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2249642979:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.19/0.47 % (3907940)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2321134498:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.19/0.47 % (3907930)Instruction limit reached!
% 1.19/0.47 % (3907930)------------------------------
% 1.19/0.47 % (3907930)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.47 % (3907930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.47 % (3907930)CaDiCaL version: 2.1.3
% 1.19/0.47 % (3907930)Termination reason: Instruction limit
% 1.19/0.47 % (3907930)Termination phase: Clausification
% 1.19/0.47 % (3907930)Time elapsed: 0.019 s
% 1.19/0.47 % (3907930)Peak memory usage: 11 MB
% 1.19/0.47 % (3907930)Instructions burned: 39 (million)
% 1.19/0.47 % (3907943)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3210801440:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.19/0.47 % (3907943)Instruction limit reached!
% 1.19/0.47 % (3907943)------------------------------
% 1.19/0.47 % (3907943)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.47 % (3907943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.47 % (3907943)CaDiCaL version: 2.1.3
% 1.19/0.47 % (3907943)Termination reason: Instruction limit
% 1.19/0.47 % (3907943)Termination phase: shuffling
% 1.19/0.47 % (3907943)Time elapsed: 0.004 s
% 1.19/0.47 % (3907943)Peak memory usage: 10 MB
% 1.19/0.47 % (3907943)Instructions burned: 16 (million)
% 1.19/0.47 % (3907938)Instruction limit reached!
% 1.19/0.47 % (3907938)------------------------------
% 1.19/0.47 % (3907938)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.47 % (3907938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.47 % (3907938)CaDiCaL version: 2.1.3
% 1.19/0.47 % (3907938)Termination reason: Instruction limit
% 1.19/0.47 % (3907938)Termination phase: shuffling
% 1.19/0.47 % (3907938)Time elapsed: 0.008 s
% 1.19/0.47 % (3907938)Peak memory usage: 10 MB
% 1.19/0.47 % (3907938)Instructions burned: 15 (million)
% 1.19/0.47 % (3907927)Instruction limit reached!
% 1.19/0.47 % (3907927)------------------------------
% 1.19/0.47 % (3907927)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.47 % (3907927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.47 % (3907927)CaDiCaL version: 2.1.3
% 1.19/0.47 % (3907927)Termination reason: Instruction limit
% 1.19/0.47 % (3907927)Termination phase: Preprocessing 3
% 1.19/0.47 % (3907927)Time elapsed: 0.038 s
% 1.19/0.47 % (3907927)Peak memory usage: 11 MB
% 1.19/0.47 % (3907927)Instructions burned: 87 (million)
% 1.19/0.47 % (3907948)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=401712339:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.19/0.47 % (3907947)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3666941686: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)
% 1.19/0.47 % (3907933)Refutation not found, incomplete strategy
% 1.19/0.47 % (3907933)------------------------------
% 1.19/0.47 % (3907933)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.47 % (3907933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.47 % (3907947)Instruction limit reached!
% 1.19/0.47 % (3907947)------------------------------
% 1.19/0.47 % (3907947)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.47 % (3907947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.47 % (3907947)CaDiCaL version: 2.1.3
% 1.19/0.47 % (3907933)CaDiCaL version: 2.1.3
% 1.19/0.47 % (3907947)Termination reason: Instruction limit
% 1.19/0.47 % (3907947)Termination phase: shuffling
% 1.19/0.47 % (3907947)Time elapsed: 0.003 s
% 1.19/0.47 % (3907947)Peak memory usage: 10 MB
% 1.19/0.47 % (3907947)Instructions burned: 5 (million)
% 1.19/0.47 % (3907933)Termination reason: Refutation not found, incomplete strategy
% 1.19/0.47 % (3907933)Time elapsed: 0.032 s
% 1.19/0.47 % (3907948)Instruction limit reached!
% 1.19/0.47 % (3907948)------------------------------
% 1.19/0.47 % (3907948)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.47 % (3907933)Peak memory usage: 13 MB
% 1.19/0.47 % (3907933)Instructions burned: 62 (million)
% 1.19/0.47 % (3907948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.47 % (3907948)CaDiCaL version: 2.1.3
% 1.19/0.47 % (3907948)Termination reason: Instruction limit
% 1.19/0.47 % (3907948)Termination phase: shuffling
% 1.19/0.47 % (3907948)Time elapsed: 0.006 s
% 1.19/0.47 % (3907948)Peak memory usage: 10 MB
% 1.19/0.47 % (3907948)Instructions burned: 26 (million)
% 1.19/0.47 % (3907933)------------------------------
% 1.19/0.47 % (3907933)------------------------------
% 1.19/0.47 % (3907949)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=606115469:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.19/0.48 % (3907950)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1975211400:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.19/0.48 % (3907953)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
% 1.19/0.48 % (3907953)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.19/0.48 % (3907953)ott+21_1_to=kbo:sil=128000:cnfonf=lazy_gen:bsd=on:si=on:sp=const_frequency:lma=off:uwa=off:foolp=on:s2agt=10:lwlo=on:random_seed=3923904056:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.19/0.48 % (3907949)Instruction limit reached!
% 1.19/0.48 % (3907949)------------------------------
% 1.19/0.48 % (3907949)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.48 % (3907949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.48 % (3907949)CaDiCaL version: 2.1.3
% 1.19/0.48 % (3907949)Termination reason: Instruction limit
% 1.19/0.48 % (3907949)Termination phase: Property scanning
% 1.19/0.48 % (3907949)Time elapsed: 0.012 s
% 1.19/0.48 % (3907949)Peak memory usage: 10 MB
% 1.19/0.48 % (3907949)Instructions burned: 25 (million)
% 1.19/0.48 % (3907953)Instruction limit reached!
% 1.19/0.48 % (3907953)------------------------------
% 1.19/0.48 % (3907953)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.48 % (3907953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.48 % (3907953)CaDiCaL version: 2.1.3
% 1.19/0.48 % (3907953)Termination reason: Instruction limit
% 1.19/0.48 % (3907953)Termination phase: shuffling
% 1.19/0.48 % (3907953)Time elapsed: 0.004 s
% 1.19/0.48 % (3907953)Peak memory usage: 10 MB
% 1.19/0.48 % (3907953)Instructions burned: 17 (million)
% 1.19/0.48 % (3907954)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.19/0.48 % (3907954)lrs+1010_4:1_slsqr=8,1:to=kbo:cha=on:drc=off:si=on:sp=arity:lcm=predicate:uwa=off:fd=preordered:gs=on:nwc=5:s2agt=32:slsqc=1:kmz=on:updr=off:chr=on:pe=on:slsq=on:random_seed=1574685829:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.19/0.48 % (3907956)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=3486627534:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.19/0.48 % (3907954)Instruction limit reached!
% 1.19/0.48 % (3907954)------------------------------
% 1.19/0.48 % (3907954)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.48 % (3907954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.48 % (3907954)CaDiCaL version: 2.1.3
% 1.19/0.48 % (3907954)Termination reason: Instruction limit
% 1.19/0.48 % (3907954)Termination phase: shuffling
% 1.19/0.48 % (3907954)Time elapsed: 0.005 s
% 1.19/0.48 % (3907954)Peak memory usage: 10 MB
% 1.19/0.48 % (3907954)Instructions burned: 8 (million)
% 1.19/0.48 % (3907960)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=2846925299:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.19/0.48 % (3907960)Instruction limit reached!
% 1.19/0.48 % (3907960)------------------------------
% 1.19/0.48 % (3907960)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.48 % (3907960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.48 % (3907960)CaDiCaL version: 2.1.3
% 1.19/0.48 % (3907960)Termination reason: Instruction limit
% 1.19/0.48 % (3907960)Termination phase: shuffling
% 1.19/0.48 % (3907960)Time elapsed: 0.006 s
% 1.19/0.48 % (3907960)Peak memory usage: 10 MB
% 1.19/0.48 % (3907960)Instructions burned: 26 (million)
% 1.19/0.48 % (3907959)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=2133569998:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.19/0.48 % (3907908) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3907900-3907908"...
% 1.19/0.48 % (3907959)Instruction limit reached!
% 1.19/0.48 % (3907959)------------------------------
% 1.19/0.48 % (3907959)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.48 % (3907959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.48 % (3907959)CaDiCaL version: 2.1.3
% 1.19/0.48 % (3907959)Termination reason: Instruction limit
% 1.19/0.48 % (3907959)Termination phase: shuffling
% 1.19/0.48 % (3907959)Time elapsed: 0.004 s
% 1.19/0.48 % (3907959)Peak memory usage: 10 MB
% 1.19/0.48 % (3907959)Instructions burned: 7 (million)
% 1.19/0.48 % (3907950)Instruction limit reached!
% 1.19/0.48 % (3907950)------------------------------
% 1.19/0.48 % (3907950)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.48 % (3907950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.48 % (3907950)CaDiCaL version: 2.1.3
% 1.19/0.48 % (3907950)Termination reason: Instruction limit
% 1.19/0.48 % (3907950)Termination phase: Property scanning
% 1.19/0.48 % (3907950)Time elapsed: 0.030 s
% 1.19/0.48 % (3907950)Peak memory usage: 11 MB
% 1.19/0.48 % (3907950)Instructions burned: 61 (million)
% 1.19/0.48 % (3907956)Instruction limit reached!
% 1.19/0.48 % (3907956)------------------------------
% 1.19/0.48 % (3907956)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.48 % (3907956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.48 % (3907956)CaDiCaL version: 2.1.3
% 1.19/0.48 % (3907956)Termination reason: Instruction limit
% 1.19/0.48 % (3907956)Termination phase: shuffling
% 1.19/0.48 % (3907956)Time elapsed: 0.015 s
% 1.19/0.48 % (3907956)Peak memory usage: 10 MB
% 1.19/0.48 % (3907956)Instructions burned: 31 (million)
% 1.19/0.48 % (3907908)...printing done.
% 1.19/0.48 % (3907908)Refutation found. Thanks to Tanya!
% 1.19/0.48 % SZS status Theorem for theBenchmark
% 1.19/0.48 % SZS output start Proof for theBenchmark
% 1.19/0.48 thf(type_def_5, type, stream170649215stream: $tType > $tType).
% 1.19/0.48 thf(type_def_6, type, set: $tType > $tType).
% 1.19/0.48 thf(type_def_7, type, itself: $tType > $tType).
% 1.19/0.48 thf(type_def_8, type, a: $tType).
% 1.19/0.48 thf(type_def_9, type, sTfun: ($tType * $tType) > $tType).
% 1.19/0.48 thf(func_def_0, type, type: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.19/0.48 thf(func_def_1, type, bot: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.19/0.48 thf(func_def_2, type, ord: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.19/0.48 thf(func_def_3, type, top: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.19/0.48 thf(func_def_4, type, order: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.19/0.48 thf(func_def_5, type, linorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.19/0.48 thf(func_def_6, type, preorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.19/0.48 thf(func_def_7, type, order_bot: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.19/0.48 thf(func_def_8, type, order_top: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.19/0.48 thf(func_def_9, type, boolean_algebra: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.19/0.48 thf(func_def_10, type, ordered_ab_group_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.19/0.48 thf(func_def_11, type, bNF_id_bnf: !>[X0: $tType]:((X0 > X0))).
% 1.19/0.48 thf(func_def_12, type, comp: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X2 > X0) > X2 > X1))).
% 1.19/0.48 thf(func_def_13, type, inj_on: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > $o))).
% 1.19/0.48 thf(func_def_14, type, override_on: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > set @ X0 > X0 > X1))).
% 1.19/0.48 thf(func_def_15, type, uminus_uminus: !>[X0: $tType]:((X0 > X0))).
% 1.19/0.48 thf(func_def_16, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 1.19/0.48 thf(func_def_17, type, bot_bot: !>[X0: $tType]:(X0)).
% 1.19/0.48 thf(func_def_18, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.19/0.48 thf(func_def_19, type, top_top: !>[X0: $tType]:(X0)).
% 1.19/0.48 thf(func_def_20, type, type2: !>[X0: $tType]:(itself @ X0)).
% 1.19/0.48 thf(func_def_21, type, ball: !>[X0: $tType]:((set @ X0 > (X0 > $o) > $o))).
% 1.19/0.48 thf(func_def_22, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 1.19/0.48 thf(func_def_23, type, image: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > set @ X1))).
% 1.19/0.48 thf(func_def_24, type, insert: !>[X0: $tType]:((X0 > set @ X0 > set @ X0))).
% 1.19/0.48 thf(func_def_25, type, is_empty: !>[X0: $tType]:((set @ X0 > $o))).
% 1.19/0.48 thf(func_def_26, type, is_singleton: !>[X0: $tType]:((set @ X0 > $o))).
% 1.19/0.48 thf(func_def_27, type, pairwise: !>[X0: $tType]:(((X0 > X0 > $o) > set @ X0 > $o))).
% 1.19/0.48 thf(func_def_28, type, the_elem: !>[X0: $tType]:((set @ X0 > X0))).
% 1.19/0.48 thf(func_def_29, type, stream1586597341member: !>[X0: $tType]:((X0 > stream170649215stream @ X0 > $o))).
% 1.19/0.48 thf(func_def_30, type, stream641971652_SCons: !>[X0: $tType]:((X0 > stream170649215stream @ X0 > stream170649215stream @ X0))).
% 1.19/0.48 thf(func_def_31, type, stream1342653232stream: !>[X0: $tType, X1: $tType]:(((X0 > stream170649215stream @ X0 > X1) > stream170649215stream @ X0 > X1))).
% 1.19/0.48 thf(func_def_32, type, stream660621732stream: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > $o) > (X0 > stream170649215stream @ X1) > (X0 > X0) > X0 > stream170649215stream @ X1))).
% 1.19/0.48 thf(func_def_33, type, stream1153105665stream: !>[X0: $tType]:(((X0 > $o) > stream170649215stream @ X0 > $o))).
% 1.19/0.48 thf(func_def_34, type, stream_Mirabelle_shd: !>[X0: $tType]:((stream170649215stream @ X0 > X0))).
% 1.19/0.48 thf(func_def_35, type, stream2128578057e_smap: !>[X0: $tType, X1: $tType]:(((X0 > X1) > stream170649215stream @ X0 > stream170649215stream @ X1))).
% 1.19/0.48 thf(func_def_36, type, stream30925839e_sset: !>[X0: $tType]:((stream170649215stream @ X0 > set @ X0))).
% 1.19/0.48 thf(func_def_37, type, stream_Mirabelle_stl: !>[X0: $tType]:((stream170649215stream @ X0 > stream170649215stream @ X0))).
% 1.19/0.48 thf(func_def_38, type, stream686525009m_all2: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > stream170649215stream @ X0 > stream170649215stream @ X1 > $o))).
% 1.19/0.48 thf(func_def_39, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 1.19/0.48 thf(func_def_40, type, s: stream170649215stream @ a).
% 1.19/0.48 thf(func_def_41, type, x: a).
% 1.19/0.48 thf(func_def_42, type, y: a).
% 1.19/0.48 thf(func_def_46, type, db1: !>[X0: $tType]:(X0)).
% 1.19/0.48 thf(func_def_47, type, db0: !>[X0: $tType]:(X0)).
% 1.19/0.48 thf(func_def_48, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.19/0.48 thf(func_def_49, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 1.19/0.48 thf(func_def_50, type, vAND: ($o > $o > $o)).
% 1.19/0.48 thf(func_def_51, type, db2: !>[X0: $tType]:(X0)).
% 1.19/0.48 thf(func_def_52, type, db3: !>[X0: $tType]:(X0)).
% 1.19/0.48 thf(func_def_53, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.19/0.48 thf(func_def_54, type, vIMP: ($o > $o > $o)).
% 1.19/0.48 thf(func_def_55, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.19/0.48 thf(func_def_56, type, db4: !>[X0: $tType]:(X0)).
% 1.19/0.48 thf(func_def_57, type, vNOT: ($o > $o)).
% 1.19/0.48 thf(func_def_58, type, sP0: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 1.19/0.48 thf(func_def_59, type, sP1: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 1.19/0.48 thf(func_def_60, type, sK2: !>[X0: $tType, X1: $tType]:(((stream170649215stream @ X0 > stream170649215stream @ X1 > $o) > (X0 > X1 > $o) > stream170649215stream @ X1))).
% 1.19/0.48 thf(func_def_61, type, sK3: !>[X0: $tType, X1: $tType]:(((stream170649215stream @ X0 > stream170649215stream @ X1 > $o) > (X0 > X1 > $o) > stream170649215stream @ X0))).
% 1.19/0.48 thf(func_def_62, type, sK4: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0 > $o) > X1))).
% 1.19/0.48 thf(func_def_63, type, sK5: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0 > $o) > X0))).
% 1.19/0.48 thf(func_def_64, type, sK6: !>[X0: $tType]:((set @ X0 > X0))).
% 1.19/0.48 thf(func_def_65, type, sK7: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 1.19/0.48 thf(func_def_66, type, sK8: !>[X0: $tType]:(((stream170649215stream @ X0 > stream170649215stream @ X0 > $o) > stream170649215stream @ X0))).
% 1.19/0.48 thf(func_def_67, type, sK9: !>[X0: $tType]:(((stream170649215stream @ X0 > stream170649215stream @ X0 > $o) > stream170649215stream @ X0))).
% 1.19/0.48 thf(func_def_68, type, sK10: !>[X0: $tType]:(((X0 > $o) > X0))).
% 1.19/0.48 thf(func_def_69, type, sK11: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X1) > (X1 > X0) > (X1 > X0) > X1))).
% 1.19/0.48 thf(func_def_70, type, sK12: !>[X0: $tType]:((set @ X0 > set @ X0 > X0 > X0 > set @ X0))).
% 1.19/0.48 thf(func_def_71, type, sK13: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X0))).
% 1.19/0.48 thf(func_def_72, type, sK14: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0) > X1))).
% 1.19/0.48 thf(func_def_73, type, sK15: !>[X0: $tType]:(X0)).
% 1.19/0.48 thf(func_def_74, type, sK16: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > X1))).
% 1.19/0.48 thf(func_def_75, type, sK17: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > (X1 > X0) > X1))).
% 1.19/0.48 thf(func_def_76, type, sK18: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X2) > (X0 > X2) > (X1 > X0) > set @ X1 > X1))).
% 1.19/0.48 thf(func_def_77, type, sK19: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 1.19/0.48 thf(func_def_78, type, sK20: !>[X0: $tType, X1: $tType]:((stream170649215stream @ X1 > stream170649215stream @ X1 > (X1 > X0) > (X1 > X0) > X1))).
% 1.19/0.48 thf(func_def_79, type, sK21: !>[X0: $tType, X1: $tType]:((stream170649215stream @ X1 > stream170649215stream @ X1 > (X1 > X0) > (X1 > X0) > X1))).
% 1.19/0.48 thf(func_def_80, type, sK22: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.19/0.48 thf(func_def_81, type, sK23: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 1.19/0.48 thf(func_def_82, type, sK24: !>[X0: $tType]:(((stream170649215stream @ X0 > stream170649215stream @ X0 > $o) > stream170649215stream @ X0))).
% 1.19/0.48 thf(func_def_83, type, sK25: !>[X0: $tType]:(((stream170649215stream @ X0 > stream170649215stream @ X0 > $o) > stream170649215stream @ X0))).
% 1.19/0.48 thf(func_def_84, type, sK26: !>[X0: $tType]:((set @ X0 > X0))).
% 1.19/0.48 thf(func_def_85, type, sK27: !>[X0: $tType]:((set @ X0 > X0))).
% 1.19/0.48 thf(func_def_86, type, sK28: !>[X0: $tType, X1: $tType]:((stream170649215stream @ X0 > (X0 > X1) > (X0 > X1) > X0))).
% 1.19/0.48 thf(func_def_87, type, sK29: !>[X0: $tType]:((set @ X0 > X0))).
% 1.19/0.48 thf(func_def_88, type, sK30: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.19/0.48 thf(func_def_89, type, sK31: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.19/0.48 thf(func_def_90, type, sK32: !>[X0: $tType]:((set @ X0 > X0))).
% 1.19/0.48 thf(func_def_91, type, sK33: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.19/0.48 thf(func_def_92, type, sK34: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.19/0.48 thf(func_def_93, type, sK35: !>[X0: $tType]:((X0 > set @ X0 > set @ X0))).
% 1.19/0.48 thf(func_def_94, type, sK36: !>[X0: $tType]:(((X0 > $o) > X0))).
% 1.19/0.48 thf(func_def_95, type, sK37: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.19/0.48 thf(func_def_96, type, sK38: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.19/0.48 thf(func_def_97, type, sK39: !>[X0: $tType]:((set @ X0 > X0))).
% 1.19/0.48 thf(func_def_98, type, sK40: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X0 > X1))).
% 1.19/0.48 thf(func_def_99, type, sK41: !>[X0: $tType]:(((X0 > X0 > $o) > stream170649215stream @ X0 > X0))).
% 1.19/0.48 thf(func_def_100, type, sK42: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > set @ X0 > X0))).
% 1.19/0.48 thf(func_def_101, type, sK43: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > set @ X0 > X1))).
% 1.19/0.48 thf(func_def_102, type, sK44: !>[X0: $tType]:(((X0 > $o) > set @ X0 > X0))).
% 1.19/0.48 thf(func_def_103, type, sK45: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > X0))).
% 1.19/0.48 thf(func_def_104, type, sK46: !>[X0: $tType]:(((X0 > stream170649215stream @ X0 > $o) > X0))).
% 1.19/0.48 thf(func_def_105, type, sK47: !>[X0: $tType]:(((X0 > stream170649215stream @ X0 > $o) > X0))).
% 1.19/0.48 thf(func_def_106, type, sK48: !>[X0: $tType]:(((X0 > stream170649215stream @ X0 > $o) > stream170649215stream @ X0))).
% 1.19/0.48 thf(func_def_107, type, sK49: !>[X0: $tType]:(((X0 > stream170649215stream @ X0 > $o) > stream170649215stream @ X0))).
% 1.19/0.48 thf(func_def_108, type, sK50: !>[X0: $tType]:(((X0 > stream170649215stream @ X0 > $o) > X0))).
% 1.19/0.48 thf(func_def_109, type, sK51: !>[X0: $tType, X1: $tType]:((stream170649215stream @ X0 > stream170649215stream @ X1 > (X1 > X0 > $o) > X1))).
% 1.19/0.48 thf(func_def_110, type, sK52: !>[X0: $tType, X1: $tType]:((stream170649215stream @ X0 > stream170649215stream @ X1 > (X1 > X0 > $o) > stream170649215stream @ X1))).
% 1.19/0.48 thf(func_def_111, type, sK53: !>[X0: $tType, X1: $tType]:((stream170649215stream @ X0 > stream170649215stream @ X1 > (X1 > X0 > $o) > X0))).
% 1.19/0.48 thf(func_def_112, type, sK54: !>[X0: $tType, X1: $tType]:((stream170649215stream @ X0 > stream170649215stream @ X1 > (X1 > X0 > $o) > stream170649215stream @ X0))).
% 1.19/0.48 thf(func_def_113, type, sK55: !>[X0: $tType, X1: $tType]:((stream170649215stream @ X0 > (X1 > X0 > $o) > (X1 > X0 > $o) > stream170649215stream @ X1 > X0))).
% 1.19/0.48 thf(func_def_114, type, sK56: !>[X0: $tType, X1: $tType]:((stream170649215stream @ X0 > (X1 > X0 > $o) > (X1 > X0 > $o) > stream170649215stream @ X1 > X1))).
% 1.19/0.48 thf(func_def_115, type, sK57: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > stream170649215stream @ X0 > X0))).
% 1.19/0.48 thf(func_def_116, type, sK58: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X0 > X1) > X0))).
% 1.19/0.48 thf(func_def_117, type, sK59: !>[X0: $tType]:((X0 > set @ X0 > set @ X0))).
% 1.19/0.48 thf(func_def_118, type, sK60: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.19/0.48 thf(func_def_119, type, sK61: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.19/0.48 thf(func_def_120, type, sK62: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.19/0.48 thf(func_def_121, type, sK63: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.19/0.48 thf(func_def_122, type, sK64: !>[X0: $tType, X1: $tType]:((stream170649215stream @ X0 > stream170649215stream @ X1 > (X0 > X1 > $o) > (X0 > X1 > $o) > X1))).
% 1.19/0.48 thf(func_def_123, type, sK65: !>[X0: $tType, X1: $tType]:((stream170649215stream @ X0 > stream170649215stream @ X1 > (X0 > X1 > $o) > (X0 > X1 > $o) > X0))).
% 1.19/0.48 thf(func_def_124, type, sK66: !>[X0: $tType]:((stream170649215stream @ X0 > X0 > X0))).
% 1.19/0.48 thf(func_def_125, type, sK67: !>[X0: $tType]:((stream170649215stream @ X0 > X0 > stream170649215stream @ X0))).
% 1.19/0.48 thf(func_def_126, type, sK68: !>[X0: $tType]:((stream170649215stream @ X0 > X0 > stream170649215stream @ X0))).
% 1.19/0.48 thf(func_def_127, type, sK69: !>[X0: $tType, X1: $tType]:((stream170649215stream @ X0 > (X0 > X1) > (X0 > X1) > X0))).
% 1.19/0.48 thf(func_def_128, type, sK70: !>[X0: $tType]:((set @ X0 > X0))).
% 1.19/0.48 thf(func_def_129, type, sK71: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0) > X1))).
% 1.19/0.48 thf(func_def_130, type, sK72: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > (X1 > X0) > X1))).
% 1.19/0.48 thf(func_def_131, type, sK73: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 1.19/0.48 thf(func_def_132, type, sK74: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X0) > (X0 > X1) > (X0 > X1) > (X2 > X0) > X0))).
% 1.19/0.48 thf(func_def_133, type, sK75: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X0) > (X0 > X1) > (X0 > X1) > (X2 > X0) > X0))).
% 1.19/0.48 thf(func_def_134, type, sK76: !>[X0: $tType]:((set @ X0 > X0))).
% 1.19/0.48 thf(func_def_135, type, sK77: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0) > X1))).
% 1.19/0.48 thf(func_def_136, type, sK78: !>[X0: $tType, X1: $tType]:((set @ X0 > (X1 > X0) > set @ X1 > set @ X1))).
% 1.19/0.48 thf(func_def_137, type, sK79: !>[X0: $tType]:((stream170649215stream @ X0 > (X0 > $o) > (X0 > $o) > X0))).
% 1.19/0.48 thf(func_def_138, type, sK80: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0) > set @ X1 > X1))).
% 1.19/0.48 thf(func_def_139, type, sK81: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > (X1 > $o) > X0))).
% 1.19/0.48 thf(func_def_140, type, sK82: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X0 > $o) > set @ X1 > X0))).
% 1.19/0.48 thf(func_def_141, type, sK83: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 1.19/0.48 thf(func_def_142, type, sK84: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > set @ X0 > X0))).
% 1.19/0.48 thf(func_def_143, type, sK85: !>[X0: $tType]:(((X0 > $o) > set @ X0 > X0))).
% 1.19/0.48 thf(func_def_144, type, sK86: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > (X0 > $o) > X0))).
% 1.19/0.48 thf(func_def_145, type, sK87: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > (X0 > $o) > X1))).
% 1.19/0.48 thf(func_def_146, type, sK88: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.19/0.48 thf(func_def_147, type, sK89: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.19/0.48 thf(func_def_148, type, sK90: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > set @ X0 > set @ X1))).
% 1.19/0.48 thf(func_def_149, type, sK91: !>[X0: $tType]:((stream170649215stream @ X0 > stream170649215stream @ X0))).
% 1.19/0.48 thf(func_def_150, type, sK92: !>[X0: $tType]:((stream170649215stream @ X0 > X0))).
% 1.19/0.48 thf(func_def_151, type, sK93: !>[X0: $tType, X1: $tType]:((X1 > set @ X1 > (X1 > X0) > X1))).
% 1.19/0.48 thf(func_def_152, type, sK94: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > X2) > (X0 > X1) > (X1 > X2) > X1))).
% 1.19/0.48 thf(func_def_153, type, sK95: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.19/0.48 thf(f2,axiom,(
% 1.19/0.48 ! [X0 : $tType,X3 : X0,X2 : stream170649215stream @ X0,X1 : X0] : ((member @ X0 @ X1 @ (stream30925839e_sset @ X0 @ X2)) => (member @ X0 @ X1 @ (stream30925839e_sset @ X0 @ (stream641971652_SCons @ X0 @ X3 @ X2))))),
% 1.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_stream_Oset__intros_I2_J)).
% 1.19/0.48 thf(f8,axiom,(
% 1.19/0.48 ! [X0 : $tType,X2 : stream170649215stream @ X0,X1 : X0] : (((stream30925839e_sset @ X0 @ (stream641971652_SCons @ X0 @ X1 @ X2))) = ((insert @ X0 @ X1 @ (stream30925839e_sset @ X0 @ X2))))),
% 1.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7_stream_Oset)).
% 1.19/0.48 thf(f38,axiom,(
% 1.19/0.48 ! [X0 : $tType,X1 : X0,X2 : X0,X3 : set @ X0] : ((member @ X0 @ X1 @ (insert @ X0 @ X2 @ X3)) => ((X1 != X2) => (member @ X0 @ X1 @ X3)))),
% 1.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_37_insertE)).
% 1.19/0.48 thf(f39,axiom,(
% 1.19/0.48 ! [X0 : $tType,X2 : set @ X0,X1 : X0] : (member @ X0 @ X1 @ (insert @ X0 @ X1 @ X2))),
% 1.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_38_insertI1)).
% 1.19/0.48 thf(f285,conjecture,(
% 1.19/0.48 (~((x != y) => (member @ a @ x @ (stream30925839e_sset @ a @ s))) != ((member @ a @ x @ (stream30925839e_sset @ a @ (stream641971652_SCons @ a @ y @ s)))))),
% 1.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 1.19/0.48 thf(f286,negated_conjecture,(
% 1.19/0.48 ~ (~((x != y) => (member @ a @ x @ (stream30925839e_sset @ a @ s))) != ((member @ a @ x @ (stream30925839e_sset @ a @ (stream641971652_SCons @ a @ y @ s)))))),
% 1.19/0.48 inference(negated_conjecture,[status(cth)],[f285])).
% 1.19/0.48 thf(f329,plain,(
% 1.19/0.48 ~ (~((x != y) => (member @ a @ x @ (stream30925839e_sset @ a @ s))) != ((member @ a @ x @ (stream30925839e_sset @ a @ (stream641971652_SCons @ a @ y @ s)))))),
% 1.19/0.48 inference(rectify,[],[f286])).
% 1.19/0.48 thf(f330,plain,(
% 1.19/0.48 ~(~((x != y) => (((member @ a @ x @ (stream30925839e_sset @ a @ s))) = $true)) <~> (((member @ a @ x @ (stream30925839e_sset @ a @ (stream641971652_SCons @ a @ y @ s)))) = $true))),
% 1.19/0.48 inference(fool_elimination,[],[f329])).
% 1.19/0.48 thf(f343,plain,(
% 1.19/0.48 ! [X0 : $tType,X1 : X0,X2 : stream170649215stream @ X0,X3 : X0] : ((member @ X0 @ X3 @ (stream30925839e_sset @ X0 @ X2)) => (member @ X0 @ X3 @ (stream30925839e_sset @ X0 @ (stream641971652_SCons @ X0 @ X1 @ X2))))),
% 1.19/0.48 inference(rectify,[],[f2])).
% 1.19/0.48 thf(f344,plain,(
% 1.19/0.48 ! [X0 : $tType,X1 : X0,X2 : stream170649215stream @ X0,X3 : X0] : ((((member @ X0 @ X3 @ (stream30925839e_sset @ X0 @ X2))) = $true) => (((member @ X0 @ X3 @ (stream30925839e_sset @ X0 @ (stream641971652_SCons @ X0 @ X1 @ X2)))) = $true))),
% 1.19/0.48 inference(fool_elimination,[],[f343])).
% 1.19/0.48 thf(f523,plain,(
% 1.19/0.48 ! [X0 : $tType,X1 : X0,X2 : X0,X3 : set @ X0] : ((member @ X0 @ X1 @ (insert @ X0 @ X2 @ X3)) => ((X1 != X2) => (member @ X0 @ X1 @ X3)))),
% 1.19/0.48 inference(rectify,[],[f38])).
% 1.19/0.48 thf(f524,plain,(
% 1.19/0.48 ! [X0 : $tType,X3 : set @ X0,X1 : X0,X2 : X0] : ((((member @ X0 @ X1 @ (insert @ X0 @ X2 @ X3))) = $true) => ((X1 != X2) => (((member @ X0 @ X1 @ X3)) = $true)))),
% 1.19/0.48 inference(fool_elimination,[],[f523])).
% 1.19/0.48 thf(f648,plain,(
% 1.19/0.48 ! [X0 : $tType,X1 : set @ X0,X2 : X0] : (member @ X0 @ X2 @ (insert @ X0 @ X2 @ X1))),
% 1.19/0.48 inference(rectify,[],[f39])).
% 1.19/0.48 thf(f649,plain,(
% 1.19/0.48 ! [X0 : $tType,X1 : set @ X0,X2 : X0] : (((member @ X0 @ X2 @ (insert @ X0 @ X2 @ X1))) = $true)),
% 1.19/0.48 inference(fool_elimination,[],[f648])).
% 1.19/0.48 thf(f786,plain,(
% 1.19/0.48 ! [X0 : $tType,X2 : X0,X1 : stream170649215stream @ X0] : (((insert @ X0 @ X2 @ (stream30925839e_sset @ X0 @ X1))) = ((stream30925839e_sset @ X0 @ (stream641971652_SCons @ X0 @ X2 @ X1))))),
% 1.19/0.48 inference(rectify,[],[f8])).
% 1.19/0.48 thf(f826,plain,(
% 1.19/0.48 ((x != y) & (((member @ a @ x @ (stream30925839e_sset @ a @ s))) != $true)) <=> (((member @ a @ x @ (stream30925839e_sset @ a @ (stream641971652_SCons @ a @ y @ s)))) = $true)),
% 1.19/0.48 inference(ennf_transformation,[],[f330])).
% 1.19/0.48 thf(f837,plain,(
% 1.19/0.48 ! [X0 : $tType,X3 : set @ X0,X1 : X0,X2 : X0] : (((((member @ X0 @ X1 @ X3)) = $true) | (X1 = X2)) | (((member @ X0 @ X1 @ (insert @ X0 @ X2 @ X3))) != $true))),
% 1.19/0.48 inference(ennf_transformation,[],[f524])).
% 1.19/0.48 thf(f838,plain,(
% 1.19/0.48 ! [X0 : $tType,X3 : set @ X0,X1 : X0,X2 : X0] : ((X1 = X2) | (((member @ X0 @ X1 @ (insert @ X0 @ X2 @ X3))) != $true) | (((member @ X0 @ X1 @ X3)) = $true))),
% 1.19/0.48 inference(flattening,[],[f837])).
% 1.19/0.48 thf(f954,plain,(
% 1.19/0.48 ! [X0 : $tType,X3 : X0,X1 : X0,X2 : stream170649215stream @ X0] : ((((member @ X0 @ X3 @ (stream30925839e_sset @ X0 @ X2))) != $true) | (((member @ X0 @ X3 @ (stream30925839e_sset @ X0 @ (stream641971652_SCons @ X0 @ X1 @ X2)))) = $true))),
% 1.19/0.48 inference(ennf_transformation,[],[f344])).
% 1.19/0.48 thf(f1029,plain,(
% 1.19/0.48 ! [X0 : $tType,X1 : X0,X2 : X0,X3 : stream170649215stream @ X0] : ((((member @ X0 @ X1 @ (stream30925839e_sset @ X0 @ X3))) != $true) | (((member @ X0 @ X1 @ (stream30925839e_sset @ X0 @ (stream641971652_SCons @ X0 @ X2 @ X3)))) = $true))),
% 1.19/0.48 inference(rectify,[],[f954])).
% 1.19/0.48 thf(f1220,plain,(
% 1.19/0.48 ! [X0 : $tType,X1 : X0,X2 : stream170649215stream @ X0] : (((stream30925839e_sset @ X0 @ (stream641971652_SCons @ X0 @ X1 @ X2))) = ((insert @ X0 @ X1 @ (stream30925839e_sset @ X0 @ X2))))),
% 1.19/0.48 inference(rectify,[],[f786])).
% 1.19/0.48 thf(f1222,plain,(
% 1.19/0.48 ! [X0 : $tType,X1 : set @ X0,X2 : X0,X3 : X0] : ((X2 = X3) | (((member @ X0 @ X2 @ (insert @ X0 @ X3 @ X1))) != $true) | (((member @ X0 @ X2 @ X1)) = $true))),
% 1.19/0.48 inference(rectify,[],[f838])).
% 1.19/0.48 thf(f1254,plain,(
% 1.19/0.48 (((x != y) & (((member @ a @ x @ (stream30925839e_sset @ a @ s))) != $true)) | (((member @ a @ x @ (stream30925839e_sset @ a @ (stream641971652_SCons @ a @ y @ s)))) != $true)) & ((((member @ a @ x @ (stream30925839e_sset @ a @ (stream641971652_SCons @ a @ y @ s)))) = $true) | ((x = y) | (((member @ a @ x @ (stream30925839e_sset @ a @ s))) = $true)))),
% 1.19/0.48 inference(nnf_transformation,[],[f826])).
% 1.19/0.48 thf(f1255,plain,(
% 1.19/0.48 (((x != y) & (((member @ a @ x @ (stream30925839e_sset @ a @ s))) != $true)) | (((member @ a @ x @ (stream30925839e_sset @ a @ (stream641971652_SCons @ a @ y @ s)))) != $true)) & ((((member @ a @ x @ (stream30925839e_sset @ a @ (stream641971652_SCons @ a @ y @ s)))) = $true) | (x = y) | (((member @ a @ x @ (stream30925839e_sset @ a @ s))) = $true))),
% 1.19/0.48 inference(flattening,[],[f1254])).
% 1.19/0.48 thf(f1324,plain,(
% 1.19/0.48 ( ! [X0 : $tType,X2 : X0,X3 : stream170649215stream @ X0,X1 : X0] : ((((member @ X0 @ X1 @ (stream30925839e_sset @ X0 @ X3))) != $true) | (((member @ X0 @ X1 @ (stream30925839e_sset @ X0 @ (stream641971652_SCons @ X0 @ X2 @ X3)))) = $true)) )),
% 1.19/0.48 inference(cnf_transformation,[],[f1029])).
% 1.19/0.48 thf(f1606,plain,(
% 1.19/0.48 ( ! [X0 : $tType,X2 : stream170649215stream @ X0,X1 : X0] : ((((stream30925839e_sset @ X0 @ (stream641971652_SCons @ X0 @ X1 @ X2))) = ((insert @ X0 @ X1 @ (stream30925839e_sset @ X0 @ X2))))) )),
% 1.19/0.48 inference(cnf_transformation,[],[f1220])).
% 1.19/0.48 thf(f1612,plain,(
% 1.19/0.48 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : set @ X0] : ((((member @ X0 @ X2 @ (insert @ X0 @ X3 @ X1))) != $true) | (X2 = X3) | (((member @ X0 @ X2 @ X1)) = $true)) )),
% 1.19/0.48 inference(cnf_transformation,[],[f1222])).
% 1.19/0.48 thf(f1654,plain,(
% 1.19/0.48 (((member @ a @ x @ (stream30925839e_sset @ a @ (stream641971652_SCons @ a @ y @ s)))) = $true) | (x = y) | (((member @ a @ x @ (stream30925839e_sset @ a @ s))) = $true)),
% 1.19/0.48 inference(cnf_transformation,[],[f1255])).
% 1.19/0.48 thf(f1655,plain,(
% 1.19/0.48 (((member @ a @ x @ (stream30925839e_sset @ a @ s))) != $true) | (((member @ a @ x @ (stream30925839e_sset @ a @ (stream641971652_SCons @ a @ y @ s)))) != $true)),
% 1.19/0.48 inference(cnf_transformation,[],[f1255])).
% 1.19/0.48 thf(f1656,plain,(
% 1.19/0.48 (((member @ a @ x @ (stream30925839e_sset @ a @ (stream641971652_SCons @ a @ y @ s)))) != $true) | (x != y)),
% 1.19/0.48 inference(cnf_transformation,[],[f1255])).
% 1.19/0.48 thf(f1657,plain,(
% 1.19/0.48 ( ! [X0 : $tType,X2 : X0,X1 : set @ X0] : ((((member @ X0 @ X2 @ (insert @ X0 @ X2 @ X1))) = $true)) )),
% 1.19/0.48 inference(cnf_transformation,[],[f649])).
% 1.19/0.48 thf(f1894,definition,(
% 1.19/0.48 spl96_5 <=> (((member @ a @ x @ (stream30925839e_sset @ a @ s))) = $true)),
% 1.19/0.48 introduced(definition,[new_symbols(definition,[spl96_5])],[avatar_definition])).
% 1.19/0.48 thf(f1895,plain,(
% 1.19/0.48 (((member @ a @ x @ (stream30925839e_sset @ a @ s))) != $true) | spl96_5),
% 1.19/0.48 inference(avatar_component_clause,[],[f1894])).
% 1.19/0.48 thf(f1898,definition,(
% 1.19/0.48 spl96_6 <=> (((member @ a @ x @ (stream30925839e_sset @ a @ (stream641971652_SCons @ a @ y @ s)))) = $true)),
% 1.19/0.48 introduced(definition,[new_symbols(definition,[spl96_6])],[avatar_definition])).
% 1.19/0.48 thf(f1899,plain,(
% 1.19/0.48 (((member @ a @ x @ (stream30925839e_sset @ a @ (stream641971652_SCons @ a @ y @ s)))) != $true) | spl96_6),
% 1.19/0.48 inference(avatar_component_clause,[],[f1898])).
% 1.19/0.48 thf(f1900,plain,(
% 1.19/0.48 (((member @ a @ x @ (stream30925839e_sset @ a @ (stream641971652_SCons @ a @ y @ s)))) = $true) | ~spl96_6),
% 1.19/0.48 inference(avatar_component_clause,[],[f1898])).
% 1.19/0.48 thf(f1902,definition,(
% 1.19/0.48 spl96_7 <=> (x = y)),
% 1.19/0.48 introduced(definition,[new_symbols(definition,[spl96_7])],[avatar_definition])).
% 1.19/0.48 thf(f1904,plain,(
% 1.19/0.48 (x = y) | ~spl96_7),
% 1.19/0.48 inference(avatar_component_clause,[],[f1902])).
% 1.19/0.48 thf(f1905,plain,(
% 1.19/0.48 spl96_5 | spl96_6 | spl96_7),
% 1.19/0.48 inference(avatar_split_clause,[],[f1654,f1902,f1898,f1894])).
% 1.19/0.48 thf(f1916,plain,(
% 1.19/0.48 ~spl96_6 | ~spl96_5),
% 1.19/0.48 inference(avatar_split_clause,[],[f1655,f1894,f1898])).
% 1.19/0.48 thf(f1932,plain,(
% 1.19/0.48 ~spl96_7 | ~spl96_6),
% 1.19/0.48 inference(avatar_split_clause,[],[f1656,f1898,f1902])).
% 1.19/0.48 thf(f1953,plain,(
% 1.19/0.48 (((member @ a @ x @ (insert @ a @ y @ (stream30925839e_sset @ a @ s)))) = $true) | ~spl96_6),
% 1.19/0.48 inference(superposition,[],[f1900,f1606])).
% 1.19/0.48 thf(f1957,definition,(
% 1.19/0.48 spl96_13 <=> (((member @ a @ x @ (insert @ a @ y @ (stream30925839e_sset @ a @ s)))) = $true)),
% 1.19/0.48 introduced(definition,[new_symbols(definition,[spl96_13])],[avatar_definition])).
% 1.19/0.48 thf(f1958,plain,(
% 1.19/0.48 (((member @ a @ x @ (insert @ a @ y @ (stream30925839e_sset @ a @ s)))) != $true) | spl96_13),
% 1.19/0.48 inference(avatar_component_clause,[],[f1957])).
% 1.19/0.48 thf(f1959,plain,(
% 1.19/0.48 (((member @ a @ x @ (insert @ a @ y @ (stream30925839e_sset @ a @ s)))) = $true) | ~spl96_13),
% 1.19/0.48 inference(avatar_component_clause,[],[f1957])).
% 1.19/0.48 thf(f1960,plain,(
% 1.19/0.48 spl96_13 | ~spl96_6),
% 1.19/0.48 inference(avatar_split_clause,[],[f1953,f1898,f1957])).
% 1.19/0.48 thf(f1971,plain,(
% 1.19/0.48 ( ! [X0 : $tType,X2 : X0,X3 : stream170649215stream @ X0,X1 : X0] : (($true = ((member @ X0 @ X1 @ (insert @ X0 @ X2 @ (stream30925839e_sset @ X0 @ X3))))) | (((member @ X0 @ X1 @ (stream30925839e_sset @ X0 @ X3))) != $true)) )),
% 1.19/0.48 inference(forward_demodulation,[],[f1324,f1606])).
% 1.19/0.48 thf(f2490,plain,(
% 1.19/0.48 ($true != $true) | (((member @ a @ x @ (stream30925839e_sset @ a @ s))) = $true) | (x = y) | ~spl96_13),
% 1.19/0.48 inference(superposition,[],[f1612,f1959])).
% 1.19/0.48 thf(f2492,plain,(
% 1.19/0.48 (((member @ a @ x @ (stream30925839e_sset @ a @ s))) = $true) | (x = y) | ~spl96_13),
% 1.19/0.48 inference(trivial_inequality_removal,[],[f2490])).
% 1.19/0.48 thf(f2493,plain,(
% 1.19/0.48 (x = y) | (spl96_5 | ~spl96_13)),
% 1.19/0.48 inference(forward_subsumption_resolution,[],[f2492,f1895])).
% 1.19/0.48 thf(f2496,plain,(
% 1.19/0.48 (((member @ a @ x @ (insert @ a @ y @ (stream30925839e_sset @ a @ s)))) != $true) | spl96_6),
% 1.19/0.48 inference(forward_demodulation,[],[f1899,f1606])).
% 1.19/0.48 thf(f2497,plain,(
% 1.19/0.48 spl96_7 | spl96_5 | ~spl96_13),
% 1.19/0.48 inference(avatar_split_clause,[],[f2493,f1957,f1894,f1902])).
% 1.19/0.48 thf(f2498,plain,(
% 1.19/0.48 $false | (spl96_6 | ~spl96_13)),
% 1.19/0.48 inference(forward_subsumption_resolution,[],[f2496,f1959])).
% 1.19/0.48 thf(f2499,plain,(
% 1.19/0.48 spl96_6 | ~spl96_13),
% 1.19/0.48 inference(avatar_contradiction_clause,[],[f2498])).
% 1.19/0.48 thf(f2500,plain,(
% 1.19/0.48 ~spl96_13 | spl96_6),
% 1.19/0.48 inference(avatar_split_clause,[],[f2496,f1898,f1957])).
% 1.19/0.48 thf(f2502,plain,(
% 1.19/0.48 (((member @ a @ x @ (stream30925839e_sset @ a @ s))) != $true) | ($true != $true) | spl96_13),
% 1.19/0.48 inference(superposition,[],[f1958,f1971])).
% 1.19/0.48 thf(f2504,plain,(
% 1.19/0.48 (((member @ a @ x @ (stream30925839e_sset @ a @ s))) != $true) | spl96_13),
% 1.19/0.48 inference(trivial_inequality_removal,[],[f2502])).
% 1.19/0.48 thf(f2506,plain,(
% 1.19/0.48 (((member @ a @ x @ (insert @ a @ x @ (stream30925839e_sset @ a @ s)))) != $true) | (~spl96_7 | spl96_13)),
% 1.19/0.48 inference(superposition,[],[f1958,f1904])).
% 1.19/0.48 thf(f2508,plain,(
% 1.19/0.48 $false | (~spl96_7 | spl96_13)),
% 1.19/0.48 inference(forward_subsumption_resolution,[],[f2506,f1657])).
% 1.19/0.48 thf(f2509,plain,(
% 1.19/0.48 ~spl96_7 | spl96_13),
% 1.19/0.48 inference(avatar_contradiction_clause,[],[f2508])).
% 1.19/0.48 thf(f2510,plain,(
% 1.19/0.48 ~spl96_5 | spl96_13),
% 1.19/0.48 inference(avatar_split_clause,[],[f2504,f1957,f1894])).
% 1.19/0.48 cnf(s5, plain, spl96_5 | spl96_6 | spl96_7, inference(sat_conversion,[],[f1905])).
% 1.19/0.48 cnf(s8, plain, ~spl96_5 | ~spl96_6, inference(sat_conversion,[],[f1916])).
% 1.19/0.48 cnf(s12, plain, ~spl96_6 | ~spl96_7, inference(sat_conversion,[],[f1932])).
% 1.19/0.48 cnf(s13, plain, ~spl96_6 | spl96_13, inference(sat_conversion,[],[f1960])).
% 1.19/0.48 cnf(s16, plain, spl96_5 | spl96_7 | ~spl96_13, inference(sat_conversion,[],[f2497])).
% 1.19/0.48 cnf(s17, plain, spl96_6 | ~spl96_13, inference(sat_conversion,[],[f2499])).
% 1.19/0.48 cnf(s18, plain, spl96_6 | ~spl96_13, inference(sat_conversion,[],[f2500])).
% 1.19/0.48 cnf(s19, plain, ~spl96_7 | spl96_13, inference(sat_conversion,[],[f2509])).
% 1.19/0.48 cnf(s20, plain, ~spl96_5 | spl96_13, inference(sat_conversion,[],[f2510])).
% 1.19/0.48 cnf(s22, plain, spl96_6 | spl96_5, inference(rat,[],[s19,s5,s18])).
% 1.19/0.48 cnf(s23, plain, spl96_5, inference(rat,[],[s16,s12,s13,s22])).
% 1.19/0.48 cnf(s24, plain, spl96_13, inference(rat,[],[s20,s23])).
% 1.19/0.48 cnf(s25, plain, ~spl96_6, inference(rat,[],[s8,s23])).
% 1.19/0.48 cnf(s26, plain, $false, inference(rat,[],[s17,s24,s25])).
% 1.19/0.48 thf(f2511,plain,(
% 1.19/0.48 $false),
% 1.19/0.48 inference(avatar_sat_refutation,[],[s26])).
% 1.19/0.48 % SZS output end Proof for theBenchmark
% 1.19/0.48 % (3907908)------------------------------
% 1.19/0.48 % (3907908)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.48 % (3907908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.48 % (3907908)CaDiCaL version: 2.1.3
% 1.19/0.48 % (3907908)Termination reason: Refutation
% 1.19/0.48 % (3907908)Time elapsed: 0.140 s
% 1.19/0.48 % (3907908)Peak memory usage: 15 MB
% 1.19/0.48 % (3907908)Instructions burned: 250 (million)
% 1.19/0.48 % (3907900)Success in time 0.192 s
% 1.19/0.48 % Vampire exiting
%------------------------------------------------------------------------------