%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : DAT245^1 : 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 : n006.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 0.62s 0.47s
% Output : Refutation 0.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : DAT245^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n006.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 18:14:09 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running higher-order theorem proving
% 0.22/0.27 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
% 0.62/0.41 % (1122535)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.62/0.41 % (1122541)lrs+10_16_si=on:nwc=1.5:random_seed=3348228868:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.62/0.41 % (1122546)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.62/0.41 % (1122546)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
% 0.62/0.41 % (1122541)Instruction limit reached!
% 0.62/0.41 % (1122541)------------------------------
% 0.62/0.41 % (1122541)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.41 % (1122541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.41 % (1122541)CaDiCaL version: 2.1.3
% 0.62/0.41 % (1122541)Termination reason: Instruction limit
% 0.62/0.41 % (1122541)Termination phase: Property scanning
% 0.62/0.41 % (1122541)Time elapsed: 0.005 s
% 0.62/0.41 % (1122541)Peak memory usage: 10 MB
% 0.62/0.41 % (1122541)Instructions burned: 20 (million)
% 0.62/0.41 % (1122540)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3107362587:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.62/0.41 % (1122542)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3992348443:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.62/0.41 % (1122544)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=509169416:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.62/0.41 % (1122543)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=3287259793: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)
% 0.62/0.41 % (1122545)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3983849913:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.62/0.41 % (1122546)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=28266850:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.62/0.41 % (1122542)Instruction limit reached!
% 0.62/0.41 % (1122542)------------------------------
% 0.62/0.41 % (1122542)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.41 % (1122542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.41 % (1122542)CaDiCaL version: 2.1.3
% 0.62/0.41 % (1122542)Termination reason: Instruction limit
% 0.62/0.41 % (1122542)Termination phase: shuffling
% 0.62/0.41 % (1122542)Time elapsed: 0.002 s
% 0.62/0.41 % (1122542)Peak memory usage: 10 MB
% 0.62/0.41 % (1122542)Instructions burned: 3 (million)
% 0.62/0.41 % (1122548)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2626966701:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.62/0.41 % (1122548)Instruction limit reached!
% 0.62/0.41 % (1122548)------------------------------
% 0.62/0.41 % (1122548)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.41 % (1122548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.41 % (1122548)CaDiCaL version: 2.1.3
% 0.62/0.41 % (1122548)Termination reason: Instruction limit
% 0.62/0.41 % (1122548)Termination phase: shuffling
% 0.62/0.41 % (1122548)Time elapsed: 0.002 s
% 0.62/0.41 % (1122548)Peak memory usage: 10 MB
% 0.62/0.41 % (1122548)Instructions burned: 7 (million)
% 0.62/0.41 % (1122544)Instruction limit reached!
% 0.62/0.41 % (1122544)------------------------------
% 0.62/0.41 % (1122544)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.41 % (1122544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.41 % (1122544)CaDiCaL version: 2.1.3
% 0.62/0.41 % (1122544)Termination reason: Instruction limit
% 0.62/0.41 % (1122544)Termination phase: Property scanning
% 0.62/0.41 % (1122544)Time elapsed: 0.011 s
% 0.62/0.41 % (1122544)Peak memory usage: 10 MB
% 0.62/0.41 % (1122544)Instructions burned: 24 (million)
% 0.62/0.41 % (1122555)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1787264036:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.62/0.44 % (1122558)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=982792212:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.62/0.44 % (1122555)Instruction limit reached!
% 0.62/0.44 % (1122555)------------------------------
% 0.62/0.44 % (1122555)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.44 % (1122555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.44 % (1122555)CaDiCaL version: 2.1.3
% 0.62/0.44 % (1122555)Termination reason: Instruction limit
% 0.62/0.44 % (1122555)Termination phase: shuffling
% 0.62/0.44 % (1122555)Time elapsed: 0.004 s
% 0.62/0.44 % (1122555)Peak memory usage: 10 MB
% 0.62/0.44 % (1122555)Instructions burned: 7 (million)
% 0.62/0.44 % (1122558)Instruction limit reached!
% 0.62/0.44 % (1122558)------------------------------
% 0.62/0.44 % (1122558)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.44 % (1122558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.44 % (1122558)CaDiCaL version: 2.1.3
% 0.62/0.44 % (1122558)Termination reason: Instruction limit
% 0.62/0.44 % (1122558)Termination phase: shuffling
% 0.62/0.44 % (1122558)Time elapsed: 0.004 s
% 0.62/0.44 % (1122558)Peak memory usage: 10 MB
% 0.62/0.44 % (1122558)Instructions burned: 16 (million)
% 0.62/0.44 % (1122557)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.62/0.44 % (1122557)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2255961767:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.62/0.44 % (1122557)Instruction limit reached!
% 0.62/0.44 % (1122557)------------------------------
% 0.62/0.44 % (1122557)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.44 % (1122557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.44 % (1122557)CaDiCaL version: 2.1.3
% 0.62/0.44 % (1122557)Termination reason: Instruction limit
% 0.62/0.44 % (1122557)Termination phase: shuffling
% 0.62/0.44 % (1122557)Time elapsed: 0.004 s
% 0.62/0.44 % (1122557)Peak memory usage: 10 MB
% 0.62/0.44 % (1122557)Instructions burned: 7 (million)
% 0.62/0.44 % (1122545)Instruction limit reached!
% 0.62/0.44 % (1122545)------------------------------
% 0.62/0.44 % (1122545)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.44 % (1122545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.44 % (1122545)CaDiCaL version: 2.1.3
% 0.62/0.44 % (1122545)Termination reason: Instruction limit
% 0.62/0.44 % (1122545)Termination phase: Function definition elimination
% 0.62/0.44 % (1122545)Time elapsed: 0.035 s
% 0.62/0.44 % (1122545)Peak memory usage: 12 MB
% 0.62/0.44 % (1122545)Instructions burned: 75 (million)
% 0.62/0.44 % (1122562)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=1952562579:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.62/0.44 % (1122561)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
% 0.62/0.44 % (1122561)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.62/0.44 % (1122566)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.62/0.44 % (1122561)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1758233824:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.62/0.44 % (1122540)Instruction limit reached!
% 0.62/0.44 % (1122540)------------------------------
% 0.62/0.44 % (1122540)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.44 % (1122540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.44 % (1122540)CaDiCaL version: 2.1.3
% 0.62/0.44 % (1122540)Termination reason: Instruction limit
% 0.62/0.44 % (1122540)Termination phase: Property scanning
% 0.62/0.44 % (1122540)Time elapsed: 0.055 s
% 0.62/0.44 % (1122540)Peak memory usage: 12 MB
% 0.62/0.44 % (1122540)Instructions burned: 87 (million)
% 0.62/0.47 % (1122566)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=3454783920:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.62/0.47 % (1122566)Instruction limit reached!
% 0.62/0.47 % (1122566)------------------------------
% 0.62/0.47 % (1122566)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.47 % (1122566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.47 % (1122566)CaDiCaL version: 2.1.3
% 0.62/0.47 % (1122566)Termination reason: Instruction limit
% 0.62/0.47 % (1122566)Termination phase: shuffling
% 0.62/0.47 % (1122566)Time elapsed: 0.003 s
% 0.62/0.47 % (1122566)Peak memory usage: 10 MB
% 0.62/0.47 % (1122566)Instructions burned: 6 (million)
% 0.62/0.47 % (1122562)Instruction limit reached!
% 0.62/0.47 % (1122562)------------------------------
% 0.62/0.47 % (1122562)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.47 % (1122562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.47 % (1122562)CaDiCaL version: 2.1.3
% 0.62/0.47 % (1122562)Termination reason: Instruction limit
% 0.62/0.47 % (1122562)Termination phase: Property scanning
% 0.62/0.47 % (1122562)Time elapsed: 0.023 s
% 0.62/0.47 % (1122562)Peak memory usage: 11 MB
% 0.62/0.47 % (1122562)Instructions burned: 103 (million)
% 0.62/0.47 % (1122564)lrs+10_1_si=on:cs=on:random_seed=2437913909:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.62/0.47 % (1122564)Instruction limit reached!
% 0.62/0.47 % (1122564)------------------------------
% 0.62/0.47 % (1122564)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.47 % (1122564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.47 % (1122564)CaDiCaL version: 2.1.3
% 0.62/0.47 % (1122564)Termination reason: Instruction limit
% 0.62/0.47 % (1122564)Termination phase: shuffling
% 0.62/0.47 % (1122564)Time elapsed: 0.004 s
% 0.62/0.47 % (1122564)Peak memory usage: 10 MB
% 0.62/0.47 % (1122564)Instructions burned: 8 (million)
% 0.62/0.47 % (1122561)Instruction limit reached!
% 0.62/0.47 % (1122561)------------------------------
% 0.62/0.47 % (1122561)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.47 % (1122561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.47 % (1122561)CaDiCaL version: 2.1.3
% 0.62/0.47 % (1122561)Termination reason: Instruction limit
% 0.62/0.47 % (1122561)Termination phase: shuffling
% 0.62/0.47 % (1122561)Time elapsed: 0.016 s
% 0.62/0.47 % (1122561)Peak memory usage: 10 MB
% 0.62/0.47 % (1122561)Instructions burned: 30 (million)
% 0.62/0.47 % (1122571)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1266190724:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.62/0.47 % (1122569)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=873286633:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.62/0.47 % (1122571)Instruction limit reached!
% 0.62/0.47 % (1122571)------------------------------
% 0.62/0.47 % (1122571)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.47 % (1122571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.47 % (1122571)CaDiCaL version: 2.1.3
% 0.62/0.47 % (1122571)Termination reason: Instruction limit
% 0.62/0.47 % (1122571)Termination phase: SInE selection
% 0.62/0.47 % (1122571)Time elapsed: 0.007 s
% 0.62/0.47 % (1122571)Peak memory usage: 11 MB
% 0.62/0.47 % (1122571)Instructions burned: 29 (million)
% 0.62/0.47 % (1122570)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=279796917:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.62/0.47 % (1122546)Instruction limit reached!
% 0.62/0.47 % (1122546)------------------------------
% 0.62/0.47 % (1122546)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.47 % (1122546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.47 % (1122546)CaDiCaL version: 2.1.3
% 0.62/0.47 % (1122546)Termination reason: Instruction limit
% 0.62/0.47 % (1122546)Termination phase: Saturation
% 0.62/0.47 % (1122546)Time elapsed: 0.080 s
% 0.62/0.47 % (1122546)Peak memory usage: 14 MB
% 0.62/0.47 % (1122546)Instructions burned: 159 (million)
% 0.62/0.47 % (1122573)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2465641071:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.62/0.47 % (1122574)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2721565719:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.62/0.47 % (1122578)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1006268033:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.62/0.47 % (1122578)Instruction limit reached!
% 0.62/0.47 % (1122578)------------------------------
% 0.62/0.47 % (1122578)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.47 % (1122578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.47 % (1122578)CaDiCaL version: 2.1.3
% 0.62/0.47 % (1122578)Termination reason: Instruction limit
% 0.62/0.47 % (1122578)Termination phase: shuffling
% 0.62/0.47 % (1122578)Time elapsed: 0.004 s
% 0.62/0.47 % (1122578)Peak memory usage: 10 MB
% 0.62/0.47 % (1122578)Instructions burned: 18 (million)
% 0.62/0.47 % (1122569)Instruction limit reached!
% 0.62/0.47 % (1122569)------------------------------
% 0.62/0.47 % (1122569)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.47 % (1122569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.47 % (1122569)CaDiCaL version: 2.1.3
% 0.62/0.47 % (1122569)Termination reason: Instruction limit
% 0.62/0.47 % (1122569)Termination phase: Property scanning
% 0.62/0.47 % (1122569)Time elapsed: 0.019 s
% 0.62/0.47 % (1122569)Peak memory usage: 11 MB
% 0.62/0.47 % (1122569)Instructions burned: 38 (million)
% 0.62/0.47 % (1122573)Instruction limit reached!
% 0.62/0.47 % (1122573)------------------------------
% 0.62/0.47 % (1122573)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.47 % (1122573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.47 % (1122573)CaDiCaL version: 2.1.3
% 0.62/0.47 % (1122573)Termination reason: Instruction limit
% 0.62/0.47 % (1122573)Termination phase: shuffling
% 0.62/0.47 % (1122573)Time elapsed: 0.007 s
% 0.62/0.47 % (1122573)Peak memory usage: 10 MB
% 0.62/0.47 % (1122573)Instructions burned: 14 (million)
% 0.62/0.47 % (1122579)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3932920897:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.62/0.47 % (1122583)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2151685611:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.62/0.47 % (1122579)Instruction limit reached!
% 0.62/0.47 % (1122579)------------------------------
% 0.62/0.47 % (1122579)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.47 % (1122579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.47 % (1122579)CaDiCaL version: 2.1.3
% 0.62/0.47 % (1122579)Termination reason: Instruction limit
% 0.62/0.47 % (1122579)Termination phase: shuffling
% 0.62/0.47 % (1122579)Time elapsed: 0.003 s
% 0.62/0.47 % (1122579)Peak memory usage: 10 MB
% 0.62/0.47 % (1122579)Instructions burned: 4 (million)
% 0.62/0.47 % (1122583)Instruction limit reached!
% 0.62/0.47 % (1122583)------------------------------
% 0.62/0.47 % (1122583)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.47 % (1122583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.47 % (1122583)CaDiCaL version: 2.1.3
% 0.62/0.47 % (1122583)Termination reason: Instruction limit
% 0.62/0.47 % (1122583)Termination phase: shuffling
% 0.62/0.47 % (1122583)Time elapsed: 0.006 s
% 0.62/0.47 % (1122583)Peak memory usage: 10 MB
% 0.62/0.47 % (1122583)Instructions burned: 28 (million)
% 0.62/0.47 % (1122584)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3389049926:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.62/0.47 % (1122585)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2389602735:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 0.62/0.47 % (1122589)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 0.62/0.47 % (1122588)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.62/0.47 % (1122588)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.62/0.47 % (1122589)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=2084845036:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 0.62/0.47 % (1122589)Instruction limit reached!
% 0.62/0.47 % (1122589)------------------------------
% 0.62/0.47 % (1122589)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.47 % (1122589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.47 % (1122589)CaDiCaL version: 2.1.3
% 0.62/0.47 % (1122589)Termination reason: Instruction limit
% 0.62/0.47 % (1122589)Termination phase: shuffling
% 0.62/0.47 % (1122589)Time elapsed: 0.003 s
% 0.62/0.47 % (1122589)Peak memory usage: 10 MB
% 0.62/0.47 % (1122589)Instructions burned: 11 (million)
% 0.62/0.47 % (1122588)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=1193749659:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.62/0.47 % (1122584)Instruction limit reached!
% 0.62/0.47 % (1122584)------------------------------
% 0.62/0.47 % (1122584)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.47 % (1122584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.47 % (1122584)CaDiCaL version: 2.1.3
% 0.62/0.47 % (1122584)Termination reason: Instruction limit
% 0.62/0.47 % (1122584)Termination phase: Property scanning
% 0.62/0.47 % (1122584)Time elapsed: 0.011 s
% 0.62/0.47 % (1122584)Peak memory usage: 10 MB
% 0.62/0.47 % (1122584)Instructions burned: 24 (million)
% 0.62/0.47 % (1122588)Instruction limit reached!
% 0.62/0.47 % (1122588)------------------------------
% 0.62/0.47 % (1122588)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.47 % (1122588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.47 % (1122588)CaDiCaL version: 2.1.3
% 0.62/0.47 % (1122588)Termination reason: Instruction limit
% 0.62/0.47 % (1122588)Termination phase: shuffling
% 0.62/0.47 % (1122588)Time elapsed: 0.007 s
% 0.62/0.47 % (1122588)Peak memory usage: 10 MB
% 0.62/0.47 % (1122588)Instructions burned: 16 (million)
% 0.62/0.47 % (1122594)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=166595818:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 0.62/0.47 % (1122594)Instruction limit reached!
% 0.62/0.47 % (1122594)------------------------------
% 0.62/0.47 % (1122594)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.47 % (1122594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.47 % (1122594)CaDiCaL version: 2.1.3
% 0.62/0.47 % (1122594)Termination reason: Instruction limit
% 0.62/0.47 % (1122594)Termination phase: Property scanning
% 0.62/0.47 % (1122594)Time elapsed: 0.007 s
% 0.62/0.47 % (1122594)Peak memory usage: 10 MB
% 0.62/0.47 % (1122594)Instructions burned: 32 (million)
% 0.62/0.47 % (1122585)Instruction limit reached!
% 0.62/0.47 % (1122585)------------------------------
% 0.62/0.47 % (1122585)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.47 % (1122585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.47 % (1122585)CaDiCaL version: 2.1.3
% 0.62/0.47 % (1122585)Termination reason: Instruction limit
% 0.62/0.47 % (1122585)Termination phase: Property scanning
% 0.62/0.47 % (1122585)Time elapsed: 0.028 s
% 0.62/0.47 % (1122585)Peak memory usage: 11 MB
% 0.62/0.47 % (1122585)Instructions burned: 60 (million)
% 0.62/0.47 % (1122543) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1122535-1122543"...
% 0.62/0.47 % (1122595)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=2289258013:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 0.62/0.47 % (1122543)...printing done.
% 0.62/0.47 % (1122595)Instruction limit reached!
% 0.62/0.47 % (1122595)------------------------------
% 0.62/0.47 % (1122595)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.47 % (1122595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.47 % (1122595)CaDiCaL version: 2.1.3
% 0.62/0.47 % (1122595)Termination reason: Instruction limit
% 0.62/0.47 % (1122595)Termination phase: shuffling
% 0.62/0.47 % (1122595)Time elapsed: 0.004 s
% 0.62/0.47 % (1122595)Peak memory usage: 10 MB
% 0.62/0.47 % (1122595)Instructions burned: 9 (million)
% 0.62/0.47 % (1122543)Refutation found. Thanks to Tanya!
% 0.62/0.47 % SZS status Theorem for theBenchmark
% 0.62/0.47 % SZS output start Proof for theBenchmark
% 0.62/0.47 thf(type_def_5, type, stream170649215stream: $tType > $tType).
% 0.62/0.47 thf(type_def_6, type, set: $tType > $tType).
% 0.62/0.47 thf(type_def_7, type, itself: $tType > $tType).
% 0.62/0.47 thf(type_def_8, type, a: $tType).
% 0.62/0.47 thf(type_def_9, type, sTfun: ($tType * $tType) > $tType).
% 0.62/0.47 thf(func_def_0, type, bounded_lattice: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.62/0.47 thf(func_def_1, type, type: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.62/0.47 thf(func_def_2, type, uminus: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.62/0.47 thf(func_def_3, type, bot: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.62/0.47 thf(func_def_4, type, ord: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.62/0.47 thf(func_def_5, type, order: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.62/0.47 thf(func_def_6, type, group_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.62/0.47 thf(func_def_7, type, no_bot: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.62/0.47 thf(func_def_8, type, no_top: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.62/0.47 thf(func_def_9, type, linorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.62/0.47 thf(func_def_10, type, preorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.62/0.47 thf(func_def_11, type, order_bot: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.62/0.47 thf(func_def_12, type, boolean_algebra: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.62/0.47 thf(func_def_13, type, semilattice_inf: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.62/0.47 thf(func_def_14, type, ordered_ab_group_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.62/0.47 thf(func_def_15, type, bounded_lattice_bot: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.62/0.47 thf(func_def_16, type, minus_minus: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.62/0.47 thf(func_def_17, type, uminus_uminus: !>[X0: $tType]:((X0 > X0))).
% 0.62/0.47 thf(func_def_18, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 0.62/0.47 thf(func_def_19, type, inf_inf: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.62/0.47 thf(func_def_20, type, bot_bot: !>[X0: $tType]:(X0)).
% 0.62/0.47 thf(func_def_21, type, ord_less: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.62/0.47 thf(func_def_22, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.62/0.47 thf(func_def_23, type, order_antimono: !>[X0: $tType, X1: $tType]:(((X0 > X1) > $o))).
% 0.62/0.47 thf(func_def_24, type, type2: !>[X0: $tType]:(itself @ X0)).
% 0.62/0.47 thf(func_def_25, type, inv_imagep: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X1 > X0) > X1 > X1 > $o))).
% 0.62/0.47 thf(func_def_26, type, ball: !>[X0: $tType]:((set @ X0 > (X0 > $o) > $o))).
% 0.62/0.47 thf(func_def_27, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 0.62/0.47 thf(func_def_28, type, insert: !>[X0: $tType]:((X0 > set @ X0 > set @ X0))).
% 0.62/0.47 thf(func_def_29, type, is_empty: !>[X0: $tType]:((set @ X0 > $o))).
% 0.62/0.47 thf(func_def_30, type, is_singleton: !>[X0: $tType]:((set @ X0 > $o))).
% 0.62/0.47 thf(func_def_31, type, pairwise: !>[X0: $tType]:(((X0 > X0 > $o) > set @ X0 > $o))).
% 0.62/0.47 thf(func_def_32, type, remove: !>[X0: $tType]:((X0 > set @ X0 > set @ X0))).
% 0.62/0.47 thf(func_def_33, type, the_elem: !>[X0: $tType]:((set @ X0 > X0))).
% 0.62/0.47 thf(func_def_34, type, stream1586597341member: !>[X0: $tType]:((X0 > stream170649215stream @ X0 > $o))).
% 0.62/0.47 thf(func_def_35, type, stream641971652_SCons: !>[X0: $tType]:((X0 > stream170649215stream @ X0 > stream170649215stream @ X0))).
% 0.62/0.47 thf(func_def_36, type, stream1342653232stream: !>[X0: $tType, X1: $tType]:(((X0 > stream170649215stream @ X0 > X1) > stream170649215stream @ X0 > X1))).
% 0.62/0.47 thf(func_def_37, type, stream660621732stream: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > $o) > (X0 > stream170649215stream @ X1) > (X0 > X0) > X0 > stream170649215stream @ X1))).
% 0.62/0.47 thf(func_def_38, type, stream1153105665stream: !>[X0: $tType]:(((X0 > $o) > stream170649215stream @ X0 > $o))).
% 0.62/0.47 thf(func_def_39, type, stream30925839e_sset: !>[X0: $tType]:((stream170649215stream @ X0 > set @ X0))).
% 0.62/0.47 thf(func_def_40, type, stream2015131171treams: !>[X0: $tType]:((set @ X0 > set @ stream170649215stream @ X0))).
% 0.62/0.47 thf(func_def_41, type, stream86250253reamsp: !>[X0: $tType]:(((X0 > $o) > stream170649215stream @ X0 > $o))).
% 0.62/0.47 thf(func_def_42, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 0.62/0.47 thf(func_def_43, type, a2: set @ a).
% 0.62/0.47 thf(func_def_44, type, s: stream170649215stream @ a).
% 0.62/0.47 thf(func_def_45, type, sa: stream170649215stream @ a).
% 0.62/0.47 thf(func_def_49, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.62/0.47 thf(func_def_50, type, db2: !>[X0: $tType]:(X0)).
% 0.62/0.47 thf(func_def_51, type, db0: !>[X0: $tType]:(X0)).
% 0.62/0.47 thf(func_def_52, type, db1: !>[X0: $tType]:(X0)).
% 0.62/0.47 thf(func_def_53, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.62/0.47 thf(func_def_54, type, vIMP: ($o > $o > $o)).
% 0.62/0.47 thf(func_def_55, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.62/0.47 thf(func_def_56, type, vAND: ($o > $o > $o)).
% 0.62/0.47 thf(func_def_57, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.62/0.47 thf(func_def_58, type, db3: !>[X0: $tType]:(X0)).
% 0.62/0.47 thf(func_def_59, type, vNOT: ($o > $o)).
% 0.62/0.47 thf(func_def_60, type, db4: !>[X0: $tType]:(X0)).
% 0.62/0.47 thf(func_def_61, type, sP0: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 0.62/0.47 thf(func_def_62, type, sP1: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 0.62/0.47 thf(func_def_63, type, sK2: !>[X0: $tType]:(((X0 > $o) > X0))).
% 0.62/0.47 thf(func_def_64, type, sK3: !>[X0: $tType]:((set @ X0 > (X0 > X0 > $o) > X0 > X0))).
% 0.62/0.47 thf(func_def_65, type, sK4: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.62/0.47 thf(func_def_66, type, sK5: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.62/0.47 thf(func_def_67, type, sK6: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.62/0.47 thf(func_def_68, type, sK7: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 0.62/0.47 thf(func_def_69, type, sK8: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > stream170649215stream @ X0 > X0))).
% 0.62/0.47 thf(func_def_70, type, sK9: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 0.62/0.47 thf(func_def_71, type, sK10: !>[X0: $tType]:((set @ X0 > (stream170649215stream @ X0 > $o) > stream170649215stream @ X0))).
% 0.62/0.47 thf(func_def_72, type, sK11: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > stream170649215stream @ X0 > X0))).
% 0.62/0.47 thf(func_def_73, type, sK12: !>[X0: $tType]:((set @ X0 > X0))).
% 0.62/0.47 thf(func_def_74, type, sK13: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.62/0.47 thf(func_def_75, type, sK14: !>[X0: $tType]:((X0 > stream170649215stream @ X0 > stream170649215stream @ X0))).
% 0.62/0.47 thf(func_def_76, type, sK15: !>[X0: $tType]:((X0 > stream170649215stream @ X0 > stream170649215stream @ X0))).
% 0.62/0.47 thf(func_def_77, type, sK16: !>[X0: $tType]:((X0 > stream170649215stream @ X0 > X0))).
% 0.62/0.47 thf(func_def_78, type, sK17: !>[X0: $tType]:((stream170649215stream @ X0 > set @ X0 > stream170649215stream @ X0))).
% 0.62/0.47 thf(func_def_79, type, sK18: !>[X0: $tType]:((stream170649215stream @ X0 > set @ X0 > X0))).
% 0.62/0.47 thf(func_def_80, type, sK19: !>[X0: $tType]:((set @ X0 > stream170649215stream @ X0 > X0))).
% 0.62/0.47 thf(func_def_81, type, sK20: !>[X0: $tType]:((set @ X0 > stream170649215stream @ X0 > stream170649215stream @ X0))).
% 0.62/0.47 thf(func_def_82, type, sK21: !>[X0: $tType]:(((X0 > stream170649215stream @ X0 > $o) > X0))).
% 0.62/0.47 thf(func_def_83, type, sK22: !>[X0: $tType]:(((X0 > stream170649215stream @ X0 > $o) > X0))).
% 0.62/0.47 thf(func_def_84, type, sK23: !>[X0: $tType]:(((X0 > stream170649215stream @ X0 > $o) > stream170649215stream @ X0))).
% 0.62/0.47 thf(func_def_85, type, sK24: !>[X0: $tType]:(((X0 > stream170649215stream @ X0 > $o) > stream170649215stream @ X0))).
% 0.62/0.47 thf(func_def_86, type, sK25: !>[X0: $tType]:(((X0 > stream170649215stream @ X0 > $o) > X0))).
% 0.62/0.47 thf(func_def_87, type, sK26: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.62/0.47 thf(func_def_88, type, sK27: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.62/0.47 thf(func_def_89, type, sK28: !>[X0: $tType]:((stream170649215stream @ X0 > (X0 > $o) > X0))).
% 0.62/0.47 thf(func_def_90, type, sK29: !>[X0: $tType]:((stream170649215stream @ X0 > (X0 > $o) > stream170649215stream @ X0))).
% 0.62/0.47 thf(func_def_91, type, sK30: !>[X0: $tType]:((X0 > X0))).
% 0.62/0.47 thf(func_def_92, type, sK31: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 0.62/0.47 thf(func_def_93, type, sK32: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > X0))).
% 0.62/0.47 thf(func_def_94, type, sK33: !>[X0: $tType]:((set @ X0 > X0))).
% 0.62/0.47 thf(func_def_95, type, sK34: !>[X0: $tType]:((set @ X0 > X0))).
% 0.62/0.47 thf(func_def_96, type, sK35: !>[X0: $tType]:((set @ X0 > X0))).
% 0.62/0.47 thf(func_def_97, type, sK36: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.62/0.47 thf(func_def_98, type, sK37: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.62/0.47 thf(func_def_99, type, sK38: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.62/0.47 thf(func_def_100, type, sK39: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.62/0.47 thf(func_def_101, type, sK40: !>[X0: $tType]:((X0 > set @ X0 > set @ X0))).
% 0.62/0.47 thf(func_def_102, type, sK41: !>[X0: $tType]:((set @ X0 > X0 > set @ X0 > X0 > set @ X0))).
% 0.62/0.47 thf(func_def_103, type, sK42: !>[X0: $tType]:((X0 > set @ X0 > set @ X0))).
% 0.62/0.47 thf(func_def_104, type, sK43: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.62/0.47 thf(func_def_105, type, sK44: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.62/0.47 thf(func_def_106, type, sK45: !>[X0: $tType]:(((X0 > $o) > (stream170649215stream @ X0 > $o) > stream170649215stream @ X0))).
% 0.62/0.47 thf(func_def_107, type, sK46: !>[X0: $tType]:((X0 > X0))).
% 0.62/0.47 thf(func_def_108, type, sK47: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.62/0.47 thf(func_def_109, type, sK48: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.62/0.47 thf(func_def_110, type, sK49: !>[X0: $tType]:(((X0 > $o) > set @ X0 > (X0 > $o) > X0))).
% 0.62/0.47 thf(func_def_111, type, sK50: !>[X0: $tType]:(((X0 > $o) > set @ X0 > X0))).
% 0.62/0.47 thf(func_def_112, type, sK51: !>[X0: $tType]:((set @ X0 > X0))).
% 0.62/0.47 thf(func_def_113, type, sK52: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.62/0.47 thf(func_def_114, type, sK53: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.62/0.47 thf(func_def_115, type, sK54: !>[X0: $tType]:(((X0 > $o) > X0))).
% 0.62/0.47 thf(func_def_116, type, sK55: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 0.62/0.47 thf(func_def_117, type, sK56: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 0.62/0.47 thf(func_def_118, type, sK57: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.62/0.47 thf(func_def_119, type, sK58: !>[X0: $tType]:((set @ X0 > X0))).
% 0.62/0.47 thf(func_def_120, type, sK59: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.62/0.47 thf(func_def_121, type, sK60: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.62/0.47 thf(func_def_122, type, sK61: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.62/0.47 thf(func_def_123, type, sK62: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.62/0.47 thf(func_def_124, type, sK63: !>[X0: $tType]:((set @ X0 > X0))).
% 0.62/0.47 thf(func_def_125, type, sK64: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.62/0.47 thf(func_def_126, type, sK65: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.62/0.47 thf(func_def_127, type, sK66: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.62/0.47 thf(func_def_128, type, sK67: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.62/0.47 thf(func_def_129, type, sK68: !>[X0: $tType]:((stream170649215stream @ X0 > stream170649215stream @ X0))).
% 0.62/0.47 thf(func_def_130, type, sK69: !>[X0: $tType]:((stream170649215stream @ X0 > X0))).
% 0.62/0.47 thf(func_def_131, type, sK70: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 0.62/0.47 thf(f1,axiom,(
% 0.62/0.47 (ord_less_eq @ set @ a @ (stream30925839e_sset @ a @ sa) @ a2)),
% 0.62/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_streams)).
% 0.62/0.47 thf(f5,axiom,(
% 0.62/0.47 ! [X0 : $tType,X1 : X0,X2 : stream170649215stream @ X0] : (member @ X0 @ X1 @ (stream30925839e_sset @ X0 @ (stream641971652_SCons @ X0 @ X1 @ X2)))),
% 0.62/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4_stream_Oset__intros_I1_J)).
% 0.62/0.47 thf(f8,axiom,(
% 0.62/0.47 ! [X0 : $tType,X1 : stream170649215stream @ X0] : ~ ! [X3 : stream170649215stream @ X0,X2 : X0] : (X1 != ((stream641971652_SCons @ X0 @ X2 @ X3)))),
% 0.62/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7_stream_Oexhaust)).
% 0.62/0.47 thf(f20,axiom,(
% 0.62/0.47 ! [X0 : $tType,X1 : set @ X0,X3 : X0,X2 : set @ X0] : ((ord_less_eq @ set @ X0 @ X1 @ X2) => ((member @ X0 @ X3 @ X1) => (member @ X0 @ X3 @ X2)))),
% 0.62/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_19_subsetD)).
% 0.62/0.47 thf(f56,axiom,(
% 0.62/0.47 ! [X0 : $tType,X2 : set @ X0,X1 : set @ X0,X3 : set @ X0] : ((ord_less_eq @ set @ X0 @ X1 @ X2) => ((ord_less_eq @ set @ X0 @ X2 @ X3) => (ord_less_eq @ set @ X0 @ X1 @ X3)))),
% 0.62/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_55_subset__trans)).
% 0.62/0.47 thf(f63,axiom,(
% 0.62/0.47 ! [X0 : $tType,X2 : stream170649215stream @ X0,X1 : X0] : (((stream30925839e_sset @ X0 @ (stream641971652_SCons @ X0 @ X1 @ X2))) = ((insert @ X0 @ X1 @ (stream30925839e_sset @ X0 @ X2))))),
% 0.62/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_62_stream_Oset)).
% 0.62/0.47 thf(f88,axiom,(
% 0.62/0.47 ! [X0 : $tType,X2 : X0,X1 : set @ X0] : (ord_less_eq @ set @ X0 @ X1 @ (insert @ X0 @ X2 @ X1))),
% 0.62/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_87_subset__insertI)).
% 0.62/0.47 thf(f291,conjecture,(
% 0.62/0.47 ? [X0 : a,X1 : stream170649215stream @ a] : ((sa = ((stream641971652_SCons @ a @ X0 @ X1))) & (? [X2 : stream170649215stream @ a] : ((X1 = X2) & (ord_less_eq @ set @ a @ (stream30925839e_sset @ a @ X2) @ a2)) | (member @ stream170649215stream @ a @ X1 @ (stream2015131171treams @ a @ a2))) & (member @ a @ X0 @ a2))),
% 0.62/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 0.62/0.47 thf(f292,negated_conjecture,(
% 0.62/0.47 ~ ? [X0 : a,X1 : stream170649215stream @ a] : ((sa = ((stream641971652_SCons @ a @ X0 @ X1))) & (? [X2 : stream170649215stream @ a] : ((X1 = X2) & (ord_less_eq @ set @ a @ (stream30925839e_sset @ a @ X2) @ a2)) | (member @ stream170649215stream @ a @ X1 @ (stream2015131171treams @ a @ a2))) & (member @ a @ X0 @ a2))),
% 0.62/0.47 inference(negated_conjecture,[status(cth)],[f291])).
% 0.62/0.47 thf(f392,plain,(
% 0.62/0.47 ! [X0 : $tType,X1 : set @ X0,X2 : X0,X3 : set @ X0] : ((ord_less_eq @ set @ X0 @ X1 @ X3) => ((member @ X0 @ X2 @ X1) => (member @ X0 @ X2 @ X3)))),
% 0.62/0.47 inference(rectify,[],[f20])).
% 0.62/0.47 thf(f393,plain,(
% 0.62/0.47 ! [X0 : $tType,X2 : X0,X1 : set @ X0,X3 : set @ X0] : ((((ord_less_eq @ set @ X0 @ X1 @ X3)) = $true) => ((((member @ X0 @ X2 @ X1)) = $true) => (((member @ X0 @ X2 @ X3)) = $true)))),
% 0.62/0.47 inference(fool_elimination,[],[f392])).
% 0.62/0.47 thf(f435,plain,(
% 0.62/0.47 ! [X0 : $tType,X1 : X0,X2 : set @ X0] : (ord_less_eq @ set @ X0 @ X2 @ (insert @ X0 @ X1 @ X2))),
% 0.62/0.47 inference(rectify,[],[f88])).
% 0.62/0.47 thf(f436,plain,(
% 0.62/0.47 ! [X0 : $tType,X1 : X0,X2 : set @ X0] : (((ord_less_eq @ set @ X0 @ X2 @ (insert @ X0 @ X1 @ X2))) = $true)),
% 0.62/0.47 inference(fool_elimination,[],[f435])).
% 0.62/0.47 thf(f666,plain,(
% 0.62/0.47 (ord_less_eq @ set @ a @ (stream30925839e_sset @ a @ sa) @ a2)),
% 0.62/0.47 inference(rectify,[],[f1])).
% 0.62/0.47 thf(f667,plain,(
% 0.62/0.47 (((ord_less_eq @ set @ a @ (stream30925839e_sset @ a @ sa) @ a2)) = $true)),
% 0.62/0.47 inference(fool_elimination,[],[f666])).
% 0.62/0.47 thf(f716,plain,(
% 0.62/0.47 ~ ? [X0 : a,X1 : stream170649215stream @ a] : ((sa = ((stream641971652_SCons @ a @ X0 @ X1))) & (? [X2 : stream170649215stream @ a] : ((X1 = X2) & (ord_less_eq @ set @ a @ (stream30925839e_sset @ a @ X2) @ a2)) | (member @ stream170649215stream @ a @ X1 @ (stream2015131171treams @ a @ a2))) & (member @ a @ X0 @ a2))),
% 0.62/0.47 inference(rectify,[],[f292])).
% 0.62/0.47 thf(f717,plain,(
% 0.62/0.47 ~ ? [X1 : stream170649215stream @ a,X0 : a] : (((((member @ stream170649215stream @ a @ X1 @ (stream2015131171treams @ a @ a2))) = $true) | ? [X2 : stream170649215stream @ a] : ((X1 = X2) & (((ord_less_eq @ set @ a @ (stream30925839e_sset @ a @ X2) @ a2)) = $true))) & (sa = ((stream641971652_SCons @ a @ X0 @ X1))) & (((member @ a @ X0 @ a2)) = $true))),
% 0.62/0.47 inference(fool_elimination,[],[f716])).
% 0.62/0.47 thf(f741,plain,(
% 0.62/0.47 ! [X0 : $tType,X1 : X0,X2 : stream170649215stream @ X0] : (member @ X0 @ X1 @ (stream30925839e_sset @ X0 @ (stream641971652_SCons @ X0 @ X1 @ X2)))),
% 0.62/0.47 inference(rectify,[],[f5])).
% 0.62/0.47 thf(f742,plain,(
% 0.62/0.47 ! [X0 : $tType,X1 : X0,X2 : stream170649215stream @ X0] : (((member @ X0 @ X1 @ (stream30925839e_sset @ X0 @ (stream641971652_SCons @ X0 @ X1 @ X2)))) = $true)),
% 0.62/0.47 inference(fool_elimination,[],[f741])).
% 0.62/0.47 thf(f768,plain,(
% 0.62/0.47 ! [X0 : $tType,X1 : set @ X0,X2 : set @ X0,X3 : set @ X0] : ((ord_less_eq @ set @ X0 @ X2 @ X1) => ((ord_less_eq @ set @ X0 @ X1 @ X3) => (ord_less_eq @ set @ X0 @ X2 @ X3)))),
% 0.62/0.47 inference(rectify,[],[f56])).
% 0.62/0.47 thf(f769,plain,(
% 0.62/0.47 ! [X0 : $tType,X3 : set @ X0,X2 : set @ X0,X1 : set @ X0] : ((((ord_less_eq @ set @ X0 @ X2 @ X1)) = $true) => ((((ord_less_eq @ set @ X0 @ X1 @ X3)) = $true) => (((ord_less_eq @ set @ X0 @ X2 @ X3)) = $true)))),
% 0.62/0.47 inference(fool_elimination,[],[f768])).
% 0.62/0.47 thf(f825,plain,(
% 0.62/0.47 ! [X0 : $tType,X1 : stream170649215stream @ X0] : ~ ! [X3 : X0,X2 : stream170649215stream @ X0] : (((stream641971652_SCons @ X0 @ X3 @ X2)) != X1)),
% 0.62/0.47 inference(rectify,[],[f8])).
% 0.62/0.47 thf(f855,plain,(
% 0.62/0.47 ! [X0 : $tType,X3 : set @ X0,X2 : set @ X0,X1 : set @ X0] : (((((ord_less_eq @ set @ X0 @ X2 @ X3)) = $true) | (((ord_less_eq @ set @ X0 @ X1 @ X3)) != $true)) | (((ord_less_eq @ set @ X0 @ X2 @ X1)) != $true))),
% 0.62/0.47 inference(ennf_transformation,[],[f769])).
% 0.62/0.47 thf(f856,plain,(
% 0.62/0.47 ! [X0 : $tType,X2 : set @ X0,X3 : set @ X0,X1 : set @ X0] : ((((ord_less_eq @ set @ X0 @ X2 @ X3)) = $true) | (((ord_less_eq @ set @ X0 @ X1 @ X3)) != $true) | (((ord_less_eq @ set @ X0 @ X2 @ X1)) != $true))),
% 0.62/0.47 inference(flattening,[],[f855])).
% 0.62/0.47 thf(f904,plain,(
% 0.62/0.47 ! [X0 : $tType,X2 : X0,X1 : set @ X0,X3 : set @ X0] : (((((member @ X0 @ X2 @ X3)) = $true) | (((member @ X0 @ X2 @ X1)) != $true)) | (((ord_less_eq @ set @ X0 @ X1 @ X3)) != $true))),
% 0.62/0.47 inference(ennf_transformation,[],[f393])).
% 0.62/0.47 thf(f905,plain,(
% 0.62/0.47 ! [X0 : $tType,X2 : X0,X3 : set @ X0,X1 : set @ X0] : ((((member @ X0 @ X2 @ X1)) != $true) | (((member @ X0 @ X2 @ X3)) = $true) | (((ord_less_eq @ set @ X0 @ X1 @ X3)) != $true))),
% 0.62/0.47 inference(flattening,[],[f904])).
% 0.62/0.47 thf(f947,plain,(
% 0.62/0.47 ! [X1 : stream170649215stream @ a,X0 : a] : ((sa != ((stream641971652_SCons @ a @ X0 @ X1))) | ((((member @ stream170649215stream @ a @ X1 @ (stream2015131171treams @ a @ a2))) != $true) & ! [X2 : stream170649215stream @ a] : ((((ord_less_eq @ set @ a @ (stream30925839e_sset @ a @ X2) @ a2)) != $true) | (X1 != X2))) | (((member @ a @ X0 @ a2)) != $true))),
% 0.62/0.47 inference(ennf_transformation,[],[f717])).
% 0.62/0.47 thf(f1016,plain,(
% 0.62/0.47 ! [X0 : $tType,X1 : stream170649215stream @ X0] : ? [X2 : stream170649215stream @ X0,X3 : X0] : (((stream641971652_SCons @ X0 @ X3 @ X2)) = X1)),
% 0.62/0.47 inference(ennf_transformation,[],[f825])).
% 0.62/0.47 thf(f1157,plain,(
% 0.62/0.47 ! [X0 : $tType,X1 : X0,X2 : set @ X0,X3 : set @ X0] : ((((member @ X0 @ X1 @ X3)) != $true) | (((member @ X0 @ X1 @ X2)) = $true) | (((ord_less_eq @ set @ X0 @ X3 @ X2)) != $true))),
% 0.62/0.47 inference(rectify,[],[f905])).
% 0.62/0.47 thf(f1168,plain,(
% 0.62/0.47 ! [X0 : stream170649215stream @ a,X1 : a] : ((sa != ((stream641971652_SCons @ a @ X1 @ X0))) | (($true != ((member @ stream170649215stream @ a @ X0 @ (stream2015131171treams @ a @ a2)))) & ! [X2 : stream170649215stream @ a] : ((((ord_less_eq @ set @ a @ (stream30925839e_sset @ a @ X2) @ a2)) != $true) | (X0 != X2))) | (((member @ a @ X1 @ a2)) != $true))),
% 0.62/0.47 inference(rectify,[],[f947])).
% 0.62/0.47 thf(f1225,plain,(
% 0.62/0.47 ! [X0 : $tType,X1 : set @ X0,X2 : set @ X0,X3 : set @ X0] : ((((ord_less_eq @ set @ X0 @ X1 @ X2)) = $true) | (((ord_less_eq @ set @ X0 @ X3 @ X2)) != $true) | (((ord_less_eq @ set @ X0 @ X1 @ X3)) != $true))),
% 0.62/0.47 inference(rectify,[],[f856])).
% 0.62/0.47 thf(f1280,plain,(
% 0.62/0.47 ! [X0 : $tType,X1 : stream170649215stream @ X0,X2 : X0] : (((insert @ X0 @ X2 @ (stream30925839e_sset @ X0 @ X1))) = ((stream30925839e_sset @ X0 @ (stream641971652_SCons @ X0 @ X2 @ X1))))),
% 0.62/0.47 inference(rectify,[],[f63])).
% 0.62/0.47 thf(f1328,plain,(
% 0.62/0.47 ! [X0 : $tType,X1 : stream170649215stream @ X0] : (((stream641971652_SCons @ X0 @ (sK69 @ X0 @ X1) @ (sK68 @ X0 @ X1))) = X1)),
% 0.62/0.47 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP,vAPP]),skolemize(X3,sK2 @ X0 @ X1),skolemize(X3,sK2 @ X0 @ X1)],[f1016])).
% 0.62/0.47 thf(f1363,plain,(
% 0.62/0.47 ( ! [X0 : $tType,X2 : stream170649215stream @ X0,X1 : X0] : ((((member @ X0 @ X1 @ (stream30925839e_sset @ X0 @ (stream641971652_SCons @ X0 @ X1 @ X2)))) = $true)) )),
% 0.62/0.47 inference(cnf_transformation,[],[f742])).
% 0.62/0.47 thf(f1483,plain,(
% 0.62/0.47 ( ! [X0 : $tType,X2 : set @ X0,X3 : set @ X0,X1 : X0] : ((((ord_less_eq @ set @ X0 @ X3 @ X2)) != $true) | (((member @ X0 @ X1 @ X3)) != $true) | (((member @ X0 @ X1 @ X2)) = $true)) )),
% 0.62/0.47 inference(cnf_transformation,[],[f1157])).
% 0.62/0.47 thf(f1499,plain,(
% 0.62/0.47 (((ord_less_eq @ set @ a @ (stream30925839e_sset @ a @ sa) @ a2)) = $true)),
% 0.62/0.47 inference(cnf_transformation,[],[f667])).
% 0.62/0.47 thf(f1508,plain,(
% 0.62/0.47 ( ! [X2 : stream170649215stream @ a,X0 : stream170649215stream @ a,X1 : a] : ((sa != ((stream641971652_SCons @ a @ X1 @ X0))) | (((ord_less_eq @ set @ a @ (stream30925839e_sset @ a @ X2) @ a2)) != $true) | (X0 != X2) | (((member @ a @ X1 @ a2)) != $true)) )),
% 0.62/0.47 inference(cnf_transformation,[],[f1168])).
% 0.62/0.47 thf(f1598,plain,(
% 0.62/0.47 ( ! [X0 : $tType,X2 : set @ X0,X3 : set @ X0,X1 : set @ X0] : ((((ord_less_eq @ set @ X0 @ X1 @ X2)) = $true) | (((ord_less_eq @ set @ X0 @ X1 @ X3)) != $true) | (((ord_less_eq @ set @ X0 @ X3 @ X2)) != $true)) )),
% 0.62/0.47 inference(cnf_transformation,[],[f1225])).
% 0.62/0.47 thf(f1695,plain,(
% 0.62/0.47 ( ! [X0 : $tType,X2 : X0,X1 : stream170649215stream @ X0] : ((((insert @ X0 @ X2 @ (stream30925839e_sset @ X0 @ X1))) = ((stream30925839e_sset @ X0 @ (stream641971652_SCons @ X0 @ X2 @ X1))))) )),
% 0.62/0.47 inference(cnf_transformation,[],[f1280])).
% 0.62/0.47 thf(f1776,plain,(
% 0.62/0.47 ( ! [X0 : $tType,X1 : stream170649215stream @ X0] : ((((stream641971652_SCons @ X0 @ (sK69 @ X0 @ X1) @ (sK68 @ X0 @ X1))) = X1)) )),
% 0.62/0.47 inference(cnf_transformation,[],[f1328])).
% 0.62/0.47 thf(f1787,plain,(
% 0.62/0.47 ( ! [X0 : $tType,X2 : set @ X0,X1 : X0] : ((((ord_less_eq @ set @ X0 @ X2 @ (insert @ X0 @ X1 @ X2))) = $true)) )),
% 0.62/0.47 inference(cnf_transformation,[],[f436])).
% 0.62/0.47 thf(f1821,plain,(
% 0.62/0.47 ( ! [X2 : stream170649215stream @ a,X1 : a] : ((((ord_less_eq @ set @ a @ (stream30925839e_sset @ a @ X2) @ a2)) != $true) | (((member @ a @ X1 @ a2)) != $true) | (sa != ((stream641971652_SCons @ a @ X1 @ X2)))) )),
% 0.62/0.47 inference(equality_resolution,[],[f1508])).
% 0.62/0.47 thf(f1922,definition,(
% 0.62/0.47 spl71_4 <=> (((ord_less_eq @ set @ a @ (stream30925839e_sset @ a @ sa) @ a2)) = $true)),
% 0.62/0.47 introduced(definition,[new_symbols(definition,[spl71_4])],[avatar_definition])).
% 0.62/0.47 thf(f1924,plain,(
% 0.62/0.47 (((ord_less_eq @ set @ a @ (stream30925839e_sset @ a @ sa) @ a2)) = $true) | ~spl71_4),
% 0.62/0.47 inference(avatar_component_clause,[],[f1922])).
% 0.62/0.47 thf(f1925,plain,(
% 0.62/0.47 spl71_4),
% 0.62/0.47 inference(avatar_split_clause,[],[f1499,f1922])).
% 0.62/0.47 thf(f1979,plain,(
% 0.62/0.47 ( ! [X1 : $tType,X0 : stream170649215stream @ X1] : (($true = ((member @ X1 @ (sK69 @ X1 @ X0) @ (stream30925839e_sset @ X1 @ X0))))) )),
% 0.62/0.47 inference(superposition,[],[f1363,f1776])).
% 0.62/0.47 thf(f2013,plain,(
% 0.62/0.47 ( ! [X0 : a] : ((((member @ a @ X0 @ a2)) = $true) | (((member @ a @ X0 @ (stream30925839e_sset @ a @ sa))) != $true) | ($true != $true)) ) | ~spl71_4),
% 0.62/0.47 inference(superposition,[],[f1483,f1924])).
% 0.62/0.47 thf(f2016,plain,(
% 0.62/0.47 ( ! [X0 : a] : ((((member @ a @ X0 @ (stream30925839e_sset @ a @ sa))) != $true) | (((member @ a @ X0 @ a2)) = $true)) ) | ~spl71_4),
% 0.62/0.47 inference(trivial_inequality_removal,[],[f2013])).
% 0.62/0.47 thf(f2022,plain,(
% 0.62/0.47 ( ! [X2 : set @ a,X0 : stream170649215stream @ a,X1 : a] : ((((member @ a @ X1 @ a2)) != $true) | (((ord_less_eq @ set @ a @ (stream30925839e_sset @ a @ X0) @ X2)) != $true) | (sa != ((stream641971652_SCons @ a @ X1 @ X0))) | ($true != ((ord_less_eq @ set @ a @ X2 @ a2))) | ($true != $true)) )),
% 0.62/0.47 inference(superposition,[],[f1821,f1598])).
% 0.62/0.47 thf(f2027,plain,(
% 0.62/0.47 ( ! [X2 : set @ a,X0 : stream170649215stream @ a,X1 : a] : ((((ord_less_eq @ set @ a @ (stream30925839e_sset @ a @ X0) @ X2)) != $true) | (sa != ((stream641971652_SCons @ a @ X1 @ X0))) | (((member @ a @ X1 @ a2)) != $true) | ($true != ((ord_less_eq @ set @ a @ X2 @ a2)))) )),
% 0.62/0.47 inference(trivial_inequality_removal,[],[f2022])).
% 0.62/0.47 thf(f2228,plain,(
% 0.62/0.47 ($true != $true) | ($true = ((member @ a @ (sK69 @ a @ sa) @ a2))) | ~spl71_4),
% 0.62/0.47 inference(superposition,[],[f2016,f1979])).
% 0.62/0.47 thf(f2232,plain,(
% 0.62/0.47 ($true = ((member @ a @ (sK69 @ a @ sa) @ a2))) | ~spl71_4),
% 0.62/0.47 inference(trivial_inequality_removal,[],[f2228])).
% 0.62/0.47 thf(f2235,definition,(
% 0.62/0.47 spl71_19 <=> ($true = ((member @ a @ (sK69 @ a @ sa) @ a2)))),
% 0.62/0.47 introduced(definition,[new_symbols(definition,[spl71_19])],[avatar_definition])).
% 0.62/0.47 thf(f2238,plain,(
% 0.62/0.47 spl71_19 | ~spl71_4),
% 0.62/0.47 inference(avatar_split_clause,[],[f2232,f1922,f2235])).
% 0.62/0.47 thf(f2278,plain,(
% 0.62/0.47 ( ! [X2 : a,X0 : stream170649215stream @ a,X1 : a] : ((((member @ a @ X2 @ a2)) != $true) | ($true != $true) | (sa != ((stream641971652_SCons @ a @ X2 @ X0))) | ($true != ((ord_less_eq @ set @ a @ (insert @ a @ X1 @ (stream30925839e_sset @ a @ X0)) @ a2)))) )),
% 0.62/0.47 inference(superposition,[],[f2027,f1787])).
% 0.62/0.47 thf(f2281,plain,(
% 0.62/0.47 ( ! [X2 : a,X0 : stream170649215stream @ a,X1 : a] : (($true != ((ord_less_eq @ set @ a @ (insert @ a @ X1 @ (stream30925839e_sset @ a @ X0)) @ a2))) | (sa != ((stream641971652_SCons @ a @ X2 @ X0))) | (((member @ a @ X2 @ a2)) != $true)) )),
% 0.62/0.47 inference(trivial_inequality_removal,[],[f2278])).
% 0.62/0.47 thf(f2286,plain,(
% 0.62/0.47 ( ! [X2 : a,X0 : stream170649215stream @ a,X1 : a] : ((((ord_less_eq @ set @ a @ (stream30925839e_sset @ a @ (stream641971652_SCons @ a @ X1 @ X0)) @ a2)) != $true) | (((member @ a @ X2 @ a2)) != $true) | (sa != ((stream641971652_SCons @ a @ X2 @ X0)))) )),
% 0.62/0.47 inference(forward_demodulation,[],[f2281,f1695])).
% 0.62/0.47 thf(f2312,plain,(
% 0.62/0.47 ( ! [X0 : stream170649215stream @ a,X1 : a] : ((sa != ((stream641971652_SCons @ a @ X1 @ (sK68 @ a @ X0)))) | (((member @ a @ X1 @ a2)) != $true) | ($true != ((ord_less_eq @ set @ a @ (stream30925839e_sset @ a @ X0) @ a2)))) )),
% 0.62/0.47 inference(superposition,[],[f2286,f1776])).
% 0.62/0.47 thf(f2603,plain,(
% 0.62/0.47 ( ! [X0 : stream170649215stream @ a] : (($true != ((ord_less_eq @ set @ a @ (stream30925839e_sset @ a @ X0) @ a2))) | ($true != ((member @ a @ (sK69 @ a @ X0) @ a2))) | (sa != X0)) )),
% 0.62/0.47 inference(superposition,[],[f2312,f1776])).
% 0.62/0.47 thf(f2672,plain,(
% 0.62/0.47 ($true != $true) | ($true != ((member @ a @ (sK69 @ a @ sa) @ a2))) | (sa != sa) | ~spl71_4),
% 0.62/0.47 inference(superposition,[],[f2603,f1924])).
% 0.62/0.47 thf(f2677,plain,(
% 0.62/0.47 ($true != ((member @ a @ (sK69 @ a @ sa) @ a2))) | ~spl71_4),
% 0.62/0.47 inference(trivial_inequality_removal,[],[f2672])).
% 0.62/0.47 thf(f2683,plain,(
% 0.62/0.47 ~spl71_19 | ~spl71_4),
% 0.62/0.47 inference(avatar_split_clause,[],[f2677,f1922,f2235])).
% 0.62/0.47 cnf(s4, plain, spl71_4, inference(sat_conversion,[],[f1925])).
% 0.62/0.47 cnf(s17, plain, ~spl71_4 | spl71_19, inference(sat_conversion,[],[f2238])).
% 0.62/0.47 cnf(s19, plain, ~spl71_4 | ~spl71_19, inference(sat_conversion,[],[f2683])).
% 0.62/0.47 cnf(s22, plain, ~spl71_19, inference(rat,[],[s19,s4])).
% 0.62/0.47 cnf(s23, plain, $false, inference(rat,[],[s17,s22,s4])).
% 0.62/0.47 thf(f2684,plain,(
% 0.62/0.47 $false),
% 0.62/0.47 inference(avatar_sat_refutation,[],[s23])).
% 0.62/0.47 % SZS output end Proof for theBenchmark
% 0.62/0.47 % (1122543)------------------------------
% 0.62/0.47 % (1122543)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.47 % (1122543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.47 % (1122543)CaDiCaL version: 2.1.3
% 0.62/0.47 % (1122543)Termination reason: Refutation
% 0.62/0.47 % (1122543)Time elapsed: 0.144 s
% 0.62/0.47 % (1122543)Peak memory usage: 15 MB
% 0.62/0.47 % (1122543)Instructions burned: 263 (million)
% 0.62/0.47 % (1122535)Success in time 0.193 s
% 0.62/0.47 % Vampire exiting
%------------------------------------------------------------------------------