%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU703^2 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:30:51 AM UTC 2026
% Result : Theorem 2.50s 0.69s
% Output : Refutation 2.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU703^2 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.18 % Computer : n013.cluster.edu
% 0.13/0.18 % Model : x86_64 x86_64
% 0.13/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.18 % Memory : 8046.5625MB
% 0.13/0.18 % OS : Linux 6.8.0-71-generic
% 0.13/0.18 % CPULimit : 300
% 0.13/0.18 % WCLimit : 300
% 0.13/0.18 % DateTime : Tue Sep 29 14:11:51 UTC 2026
% 0.13/0.18 % CPUTime :
% 0.13/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.22 Running higher-order theorem proving
% 0.13/0.24 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
% 0.87/0.41 % (2179517)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.87/0.41 % (2179525)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=1200995731: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)
% 0.87/0.41 % (2179522)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=359181834:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.87/0.41 % (2179526)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2985027848:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.87/0.41 % (2179527)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1328446945:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.87/0.41 % (2179523)lrs+10_16_si=on:nwc=1.5:random_seed=1101719963:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.87/0.41 % (2179528)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.87/0.41 % (2179528)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
% 0.87/0.41 % (2179524)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2611756124:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.87/0.41 % (2179526)Instruction limit reached!
% 0.87/0.41 % (2179526)------------------------------
% 0.87/0.41 % (2179526)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.41 % (2179526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.41 % (2179526)CaDiCaL version: 2.1.3
% 0.87/0.41 % (2179526)Termination reason: Instruction limit
% 0.87/0.41 % (2179526)Termination phase: Saturation
% 0.87/0.41 % (2179526)Time elapsed: 0.013 s
% 0.87/0.41 % (2179526)Peak memory usage: 12 MB
% 0.87/0.41 % (2179526)Instructions burned: 24 (million)
% 0.87/0.41 % (2179524)Instruction limit reached!
% 0.87/0.41 % (2179524)------------------------------
% 0.87/0.41 % (2179524)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.41 % (2179524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.41 % (2179524)CaDiCaL version: 2.1.3
% 0.87/0.41 % (2179524)Termination reason: Instruction limit
% 0.87/0.41 % (2179524)Termination phase: Property scanning
% 0.87/0.41 % (2179524)Time elapsed: 0.003 s
% 0.87/0.41 % (2179524)Peak memory usage: 10 MB
% 0.87/0.41 % (2179524)Instructions burned: 3 (million)
% 0.87/0.41 % (2179528)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=2410238073:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.87/0.41 % (2179523)Instruction limit reached!
% 0.87/0.41 % (2179523)------------------------------
% 0.87/0.41 % (2179523)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.41 % (2179523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.41 % (2179523)CaDiCaL version: 2.1.3
% 0.87/0.41 % (2179523)Termination reason: Instruction limit
% 0.87/0.41 % (2179523)Termination phase: Saturation
% 0.87/0.41 % (2179523)Time elapsed: 0.011 s
% 0.87/0.41 % (2179523)Peak memory usage: 12 MB
% 0.87/0.41 % (2179523)Instructions burned: 20 (million)
% 0.87/0.41 % (2179535)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1489531340:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.87/0.41 % (2179536)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3181184477:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.87/0.41 % (2179535)Instruction limit reached!
% 0.87/0.41 % (2179535)------------------------------
% 0.87/0.41 % (2179535)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.41 % (2179535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.41 % (2179535)CaDiCaL version: 2.1.3
% 0.87/0.41 % (2179535)Termination reason: Instruction limit
% 0.87/0.41 % (2179535)Termination phase: Saturation
% 0.87/0.41 % (2179535)Time elapsed: 0.003 s
% 0.87/0.41 % (2179535)Peak memory usage: 12 MB
% 0.87/0.41 % (2179535)Instructions burned: 6 (million)
% 0.87/0.48 % (2179538)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.87/0.48 % (2179536)Instruction limit reached!
% 0.87/0.48 % (2179536)------------------------------
% 0.87/0.48 % (2179536)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.48 % (2179536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.48 % (2179536)CaDiCaL version: 2.1.3
% 0.87/0.48 % (2179536)Termination reason: Instruction limit
% 0.87/0.48 % (2179536)Termination phase: Saturation
% 0.87/0.48 % (2179536)Time elapsed: 0.003 s
% 0.87/0.48 % (2179536)Peak memory usage: 12 MB
% 0.87/0.48 % (2179536)Instructions burned: 6 (million)
% 0.87/0.48 % (2179538)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2465987563:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.87/0.48 % (2179527)Instruction limit reached!
% 0.87/0.48 % (2179527)------------------------------
% 0.87/0.48 % (2179527)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.48 % (2179527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.48 % (2179527)CaDiCaL version: 2.1.3
% 0.87/0.48 % (2179527)Termination reason: Instruction limit
% 0.87/0.48 % (2179527)Termination phase: Saturation
% 0.87/0.48 % (2179527)Time elapsed: 0.043 s
% 0.87/0.48 % (2179527)Peak memory usage: 13 MB
% 0.87/0.48 % (2179527)Instructions burned: 76 (million)
% 0.87/0.48 % (2179522)Instruction limit reached!
% 0.87/0.48 % (2179522)------------------------------
% 0.87/0.48 % (2179522)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.48 % (2179522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.48 % (2179522)CaDiCaL version: 2.1.3
% 0.87/0.48 % (2179522)Termination reason: Instruction limit
% 0.87/0.48 % (2179522)Termination phase: Saturation
% 0.87/0.48 % (2179522)Time elapsed: 0.047 s
% 0.87/0.48 % (2179522)Peak memory usage: 13 MB
% 0.87/0.48 % (2179522)Instructions burned: 88 (million)
% 0.87/0.48 % (2179538)Instruction limit reached!
% 0.87/0.48 % (2179538)------------------------------
% 0.87/0.48 % (2179538)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.48 % (2179538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.48 % (2179538)CaDiCaL version: 2.1.3
% 0.87/0.48 % (2179538)Termination reason: Instruction limit
% 0.87/0.48 % (2179538)Termination phase: Saturation
% 0.87/0.48 % (2179538)Time elapsed: 0.007 s
% 0.87/0.48 % (2179538)Peak memory usage: 12 MB
% 0.87/0.48 % (2179538)Instructions burned: 8 (million)
% 0.87/0.48 % (2179541)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1353651810:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.87/0.48 % (2179542)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
% 0.87/0.48 % (2179542)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.87/0.48 % (2179542)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=133320381:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.87/0.48 % (2179541)Instruction limit reached!
% 0.87/0.48 % (2179541)------------------------------
% 0.87/0.48 % (2179541)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.48 % (2179541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.48 % (2179541)CaDiCaL version: 2.1.3
% 0.87/0.48 % (2179541)Termination reason: Instruction limit
% 0.87/0.48 % (2179541)Termination phase: Saturation
% 0.87/0.48 % (2179541)Time elapsed: 0.009 s
% 0.87/0.48 % (2179541)Peak memory usage: 12 MB
% 0.87/0.48 % (2179541)Instructions burned: 16 (million)
% 0.87/0.48 % (2179544)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=3609222315:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.87/0.48 % (2179545)lrs+10_1_si=on:cs=on:random_seed=975624618:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.87/0.48 % (2179546)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.48/0.52 % (2179546)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=1279184612:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.48/0.52 % (2179545)Instruction limit reached!
% 1.48/0.52 % (2179545)------------------------------
% 1.48/0.52 % (2179545)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.52 % (2179545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.52 % (2179545)CaDiCaL version: 2.1.3
% 1.48/0.52 % (2179545)Termination reason: Instruction limit
% 1.48/0.52 % (2179545)Termination phase: Saturation
% 1.48/0.52 % (2179545)Time elapsed: 0.005 s
% 1.48/0.52 % (2179545)Peak memory usage: 11 MB
% 1.48/0.52 % (2179545)Instructions burned: 9 (million)
% 1.48/0.52 % (2179546)Instruction limit reached!
% 1.48/0.52 % (2179546)------------------------------
% 1.48/0.52 % (2179546)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.52 % (2179546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.52 % (2179546)CaDiCaL version: 2.1.3
% 1.48/0.52 % (2179546)Termination reason: Instruction limit
% 1.48/0.52 % (2179546)Termination phase: Saturation
% 1.48/0.52 % (2179546)Time elapsed: 0.003 s
% 1.48/0.52 % (2179546)Peak memory usage: 12 MB
% 1.48/0.52 % (2179546)Instructions burned: 5 (million)
% 1.48/0.52 % (2179551)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2286614482:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.48/0.52 % (2179542)Instruction limit reached!
% 1.48/0.52 % (2179542)------------------------------
% 1.48/0.52 % (2179542)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.52 % (2179542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.52 % (2179542)CaDiCaL version: 2.1.3
% 1.48/0.52 % (2179542)Termination reason: Instruction limit
% 1.48/0.52 % (2179542)Termination phase: Saturation
% 1.48/0.52 % (2179542)Time elapsed: 0.027 s
% 1.48/0.52 % (2179542)Peak memory usage: 12 MB
% 1.48/0.52 % (2179542)Instructions burned: 28 (million)
% 1.48/0.52 % (2179553)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=842760188:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.48/0.52 % (2179554)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3319051881:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.48/0.52 % (2179551)Instruction limit reached!
% 1.48/0.52 % (2179551)------------------------------
% 1.48/0.52 % (2179551)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.52 % (2179551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.52 % (2179551)CaDiCaL version: 2.1.3
% 1.48/0.52 % (2179551)Termination reason: Instruction limit
% 1.48/0.52 % (2179551)Termination phase: Saturation
% 1.48/0.52 % (2179551)Time elapsed: 0.022 s
% 1.48/0.52 % (2179551)Peak memory usage: 12 MB
% 1.48/0.52 % (2179551)Instructions burned: 39 (million)
% 1.48/0.52 % (2179544)Instruction limit reached!
% 1.48/0.52 % (2179544)------------------------------
% 1.48/0.52 % (2179544)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.52 % (2179544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.52 % (2179544)CaDiCaL version: 2.1.3
% 1.48/0.52 % (2179544)Termination reason: Instruction limit
% 1.48/0.52 % (2179544)Termination phase: Saturation
% 1.48/0.52 % (2179544)Time elapsed: 0.045 s
% 1.48/0.52 % (2179544)Peak memory usage: 12 MB
% 1.48/0.52 % (2179544)Instructions burned: 87 (million)
% 1.48/0.52 % (2179556)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3667665716:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.48/0.52 % (2179554)Instruction limit reached!
% 1.48/0.52 % (2179554)------------------------------
% 1.48/0.52 % (2179554)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.52 % (2179554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.52 % (2179554)CaDiCaL version: 2.1.3
% 1.48/0.52 % (2179554)Termination reason: Instruction limit
% 1.48/0.52 % (2179554)Termination phase: Saturation
% 1.48/0.52 % (2179554)Time elapsed: 0.023 s
% 1.48/0.57 % (2179554)Peak memory usage: 12 MB
% 1.48/0.57 % (2179554)Instructions burned: 26 (million)
% 1.48/0.57 % (2179559)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1160565513:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.48/0.57 % (2179556)Instruction limit reached!
% 1.48/0.57 % (2179556)------------------------------
% 1.48/0.57 % (2179556)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.57 % (2179556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.57 % (2179556)CaDiCaL version: 2.1.3
% 1.48/0.57 % (2179556)Termination reason: Instruction limit
% 1.48/0.57 % (2179556)Termination phase: Saturation
% 1.48/0.57 % (2179556)Time elapsed: 0.017 s
% 1.48/0.57 % (2179556)Peak memory usage: 12 MB
% 1.48/0.57 % (2179556)Instructions burned: 14 (million)
% 1.48/0.57 % (2179528)Instruction limit reached!
% 1.48/0.57 % (2179528)------------------------------
% 1.48/0.57 % (2179528)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.57 % (2179528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.57 % (2179528)CaDiCaL version: 2.1.3
% 1.48/0.57 % (2179528)Termination reason: Instruction limit
% 1.48/0.57 % (2179528)Termination phase: Saturation
% 1.48/0.57 % (2179528)Time elapsed: 0.117 s
% 1.48/0.57 % (2179528)Peak memory usage: 12 MB
% 1.48/0.57 % (2179528)Instructions burned: 157 (million)
% 1.48/0.57 % (2179562)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=4173755115: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)
% 1.48/0.57 % (2179561)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=92746378:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.48/0.57 % (2179562)Instruction limit reached!
% 1.48/0.57 % (2179562)------------------------------
% 1.48/0.57 % (2179562)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.57 % (2179562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.57 % (2179562)CaDiCaL version: 2.1.3
% 1.48/0.57 % (2179562)Termination reason: Instruction limit
% 1.48/0.57 % (2179562)Termination phase: Saturation
% 1.48/0.57 % (2179562)Time elapsed: 0.003 s
% 1.48/0.57 % (2179562)Peak memory usage: 11 MB
% 1.48/0.57 % (2179562)Instructions burned: 6 (million)
% 1.48/0.57 % (2179564)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3750783289:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.48/0.57 % (2179561)Instruction limit reached!
% 1.48/0.57 % (2179561)------------------------------
% 1.48/0.57 % (2179561)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.57 % (2179561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.57 % (2179561)CaDiCaL version: 2.1.3
% 1.48/0.57 % (2179561)Termination reason: Instruction limit
% 1.48/0.57 % (2179561)Termination phase: Saturation
% 1.48/0.57 % (2179561)Time elapsed: 0.016 s
% 1.48/0.57 % (2179561)Peak memory usage: 12 MB
% 1.48/0.57 % (2179561)Instructions burned: 15 (million)
% 1.48/0.57 % (2179568)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2307454386:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.48/0.57 % (2179564)Instruction limit reached!
% 1.48/0.57 % (2179564)------------------------------
% 1.48/0.57 % (2179564)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.57 % (2179564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.57 % (2179564)CaDiCaL version: 2.1.3
% 1.48/0.57 % (2179564)Termination reason: Instruction limit
% 1.48/0.57 % (2179564)Termination phase: Saturation
% 1.48/0.57 % (2179564)Time elapsed: 0.016 s
% 1.48/0.57 % (2179564)Peak memory usage: 12 MB
% 1.48/0.57 % (2179564)Instructions burned: 27 (million)
% 1.48/0.57 % (2179566)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1711499645:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.48/0.57 % (2179572)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.48/0.57 % (2179572)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=3619413179:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2997 on theBenchmark for (2997ds/8Mi)
% 2.50/0.64 % (2179570)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
% 2.50/0.64 % (2179570)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 2.50/0.64 % (2179570)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=998201407:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.50/0.64 % (2179566)Instruction limit reached!
% 2.50/0.64 % (2179566)------------------------------
% 2.50/0.64 % (2179566)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.50/0.64 % (2179566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/0.64 % (2179566)CaDiCaL version: 2.1.3
% 2.50/0.64 % (2179566)Termination reason: Instruction limit
% 2.50/0.64 % (2179566)Termination phase: Saturation
% 2.50/0.64 % (2179566)Time elapsed: 0.022 s
% 2.50/0.64 % (2179566)Peak memory usage: 12 MB
% 2.50/0.64 % (2179566)Instructions burned: 24 (million)
% 2.50/0.64 % (2179572)Instruction limit reached!
% 2.50/0.64 % (2179572)------------------------------
% 2.50/0.64 % (2179572)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.50/0.64 % (2179572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/0.64 % (2179572)CaDiCaL version: 2.1.3
% 2.50/0.64 % (2179572)Termination reason: Instruction limit
% 2.50/0.64 % (2179572)Termination phase: Saturation
% 2.50/0.64 % (2179572)Time elapsed: 0.005 s
% 2.50/0.64 % (2179572)Peak memory usage: 12 MB
% 2.50/0.64 % (2179572)Instructions burned: 8 (million)
% 2.50/0.64 % (2179570)Instruction limit reached!
% 2.50/0.64 % (2179570)------------------------------
% 2.50/0.64 % (2179570)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.50/0.64 % (2179570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/0.64 % (2179570)CaDiCaL version: 2.1.3
% 2.50/0.64 % (2179570)Termination reason: Instruction limit
% 2.50/0.64 % (2179570)Termination phase: Saturation
% 2.50/0.64 % (2179570)Time elapsed: 0.008 s
% 2.50/0.64 % (2179570)Peak memory usage: 11 MB
% 2.50/0.64 % (2179570)Instructions burned: 14 (million)
% 2.50/0.64 % (2179568)Instruction limit reached!
% 2.50/0.64 % (2179568)------------------------------
% 2.50/0.64 % (2179568)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.50/0.64 % (2179568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/0.64 % (2179568)CaDiCaL version: 2.1.3
% 2.50/0.64 % (2179568)Termination reason: Instruction limit
% 2.50/0.64 % (2179568)Termination phase: Saturation
% 2.50/0.64 % (2179568)Time elapsed: 0.044 s
% 2.50/0.64 % (2179568)Peak memory usage: 12 MB
% 2.50/0.64 % (2179568)Instructions burned: 61 (million)
% 2.50/0.64 % (2179576)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=1406831269:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2997 on theBenchmark for (2997ds/31Mi)
% 2.50/0.64 % (2179553)Instruction limit reached!
% 2.50/0.64 % (2179553)------------------------------
% 2.50/0.64 % (2179553)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.50/0.64 % (2179553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/0.64 % (2179553)CaDiCaL version: 2.1.3
% 2.50/0.64 % (2179553)Termination reason: Instruction limit
% 2.50/0.64 % (2179553)Termination phase: Saturation
% 2.50/0.64 % (2179553)Time elapsed: 0.119 s
% 2.50/0.64 % (2179553)Peak memory usage: 13 MB
% 2.50/0.64 % (2179553)Instructions burned: 249 (million)
% 2.50/0.64 % (2179578)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=109181490:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.50/0.64 % (2179579)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=475359281:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 2.50/0.64 % (2179577)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=283127226:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 2.50/0.64 % (2179525)Instruction limit reached!
% 2.50/0.64 % (2179525)------------------------------
% 2.50/0.64 % (2179525)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.50/0.69 % (2179525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/0.69 % (2179525)CaDiCaL version: 2.1.3
% 2.50/0.69 % (2179525)Termination reason: Instruction limit
% 2.50/0.69 % (2179525)Termination phase: Saturation
% 2.50/0.69 % (2179525)Time elapsed: 0.235 s
% 2.50/0.69 % (2179525)Peak memory usage: 13 MB
% 2.50/0.69 % (2179525)Instructions burned: 634 (million)
% 2.50/0.69 % (2179578)Instruction limit reached!
% 2.50/0.69 % (2179578)------------------------------
% 2.50/0.69 % (2179578)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.50/0.69 % (2179578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/0.69 % (2179578)CaDiCaL version: 2.1.3
% 2.50/0.69 % (2179578)Termination reason: Instruction limit
% 2.50/0.69 % (2179578)Termination phase: Saturation
% 2.50/0.69 % (2179578)Time elapsed: 0.010 s
% 2.50/0.69 % (2179578)Peak memory usage: 11 MB
% 2.50/0.69 % (2179578)Instructions burned: 24 (million)
% 2.50/0.69 % (2179576)Instruction limit reached!
% 2.50/0.69 % (2179576)------------------------------
% 2.50/0.69 % (2179576)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.50/0.69 % (2179576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/0.69 % (2179576)CaDiCaL version: 2.1.3
% 2.50/0.69 % (2179576)Termination reason: Instruction limit
% 2.50/0.69 % (2179576)Termination phase: Saturation
% 2.50/0.69 % (2179576)Time elapsed: 0.017 s
% 2.50/0.69 % (2179576)Peak memory usage: 13 MB
% 2.50/0.69 % (2179576)Instructions burned: 32 (million)
% 2.50/0.69 % (2179581)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=489013199:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.50/0.69 % (2179577)Instruction limit reached!
% 2.50/0.69 % (2179577)------------------------------
% 2.50/0.69 % (2179577)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.50/0.69 % (2179577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/0.69 % (2179577)CaDiCaL version: 2.1.3
% 2.50/0.69 % (2179577)Termination reason: Instruction limit
% 2.50/0.69 % (2179577)Termination phase: Saturation
% 2.50/0.69 % (2179577)Time elapsed: 0.007 s
% 2.50/0.69 % (2179577)Peak memory usage: 12 MB
% 2.50/0.69 % (2179577)Instructions burned: 7 (million)
% 2.50/0.69 % (2179579)Instruction limit reached!
% 2.50/0.69 % (2179579)------------------------------
% 2.50/0.69 % (2179579)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.50/0.69 % (2179579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/0.69 % (2179579)CaDiCaL version: 2.1.3
% 2.50/0.69 % (2179579)Termination reason: Instruction limit
% 2.50/0.69 % (2179579)Termination phase: Saturation
% 2.50/0.69 % (2179579)Time elapsed: 0.012 s
% 2.50/0.69 % (2179579)Peak memory usage: 12 MB
% 2.50/0.69 % (2179579)Instructions burned: 21 (million)
% 2.50/0.69 % (2179586)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=1982763426:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.50/0.69 % (2179585)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1443908102:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.50/0.69 % (2179590)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=3359761820:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.50/0.69 % (2179587)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2407123605:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.50/0.69 % (2179589)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.50/0.69 % (2179589)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3901124304:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.50/0.69 % (2179589)Instruction limit reached!
% 2.50/0.69 % (2179589)------------------------------
% 2.50/0.69 % (2179589)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.50/0.69 % (2179589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/0.69 % (2179589)CaDiCaL version: 2.1.3
% 2.50/0.69 % (2179589)Termination reason: Instruction limit
% 2.50/0.69 % (2179589)Termination phase: Saturation
% 2.50/0.69 % (2179589)Time elapsed: 0.008 s
% 2.50/0.69 % (2179589)Peak memory usage: 11 MB
% 2.50/0.69 % (2179589)Instructions burned: 7 (million)
% 2.50/0.69 % (2179587)Instruction limit reached!
% 2.50/0.69 % (2179587)------------------------------
% 2.50/0.69 % (2179587)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.50/0.69 % (2179587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/0.69 % (2179587)CaDiCaL version: 2.1.3
% 2.50/0.69 % (2179587)Termination reason: Instruction limit
% 2.50/0.69 % (2179587)Termination phase: Saturation
% 2.50/0.69 % (2179587)Time elapsed: 0.026 s
% 2.50/0.69 % (2179587)Peak memory usage: 12 MB
% 2.50/0.69 % (2179587)Instructions burned: 43 (million)
% 2.50/0.69 % (2179596)dis+10_8_sil=128000:plsq=on:plsqc=1:si=on:sp=unary_first:sos=on:lma=off:plsqr=64,1:uwa=interpreted_only:foolp=on:random_seed=2098922223:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2996 on theBenchmark for (2996ds/169Mi)
% 2.50/0.69 % (2179597)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.50/0.69 % (2179597)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=2314091356:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2996 on theBenchmark for (2996ds/6Mi)
% 2.50/0.69 % (2179585)Instruction limit reached!
% 2.50/0.69 % (2179585)------------------------------
% 2.50/0.69 % (2179585)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.50/0.69 % (2179585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/0.69 % (2179585)CaDiCaL version: 2.1.3
% 2.50/0.69 % (2179585)Termination reason: Instruction limit
% 2.50/0.69 % (2179585)Termination phase: Saturation
% 2.50/0.69 % (2179585)Time elapsed: 0.064 s
% 2.50/0.69 % (2179585)Peak memory usage: 12 MB
% 2.50/0.69 % (2179585)Instructions burned: 143 (million)
% 2.50/0.69 % (2179597)Instruction limit reached!
% 2.50/0.69 % (2179597)------------------------------
% 2.50/0.69 % (2179597)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.50/0.69 % (2179597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/0.69 % (2179597)CaDiCaL version: 2.1.3
% 2.50/0.69 % (2179597)Termination reason: Instruction limit
% 2.50/0.69 % (2179597)Termination phase: Saturation
% 2.50/0.69 % (2179597)Time elapsed: 0.003 s
% 2.50/0.69 % (2179597)Peak memory usage: 11 MB
% 2.50/0.69 % (2179597)Instructions burned: 6 (million)
% 2.50/0.69 % (2179600)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=770471404:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2996 on theBenchmark for (2996ds/22Mi)
% 2.50/0.69 % (2179601)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=3470048503:i=19:add=on:rtra=on_2996 on theBenchmark for (2996ds/19Mi)
% 2.50/0.69 % (2179601)Instruction limit reached!
% 2.50/0.69 % (2179601)------------------------------
% 2.50/0.69 % (2179601)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.50/0.69 % (2179601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/0.69 % (2179601)CaDiCaL version: 2.1.3
% 2.50/0.69 % (2179601)Termination reason: Instruction limit
% 2.50/0.69 % (2179601)Termination phase: Saturation
% 2.50/0.69 % (2179601)Time elapsed: 0.011 s
% 2.50/0.69 % (2179601)Peak memory usage: 12 MB
% 2.50/0.69 % (2179601)Instructions burned: 19 (million)
% 2.50/0.69 % (2179600)Instruction limit reached!
% 2.50/0.69 % (2179600)------------------------------
% 2.50/0.69 % (2179600)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.50/0.69 % (2179600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/0.69 % (2179600)CaDiCaL version: 2.1.3
% 2.50/0.69 % (2179600)Termination reason: Instruction limit
% 2.50/0.69 % (2179600)Termination phase: Saturation
% 2.50/0.69 % (2179600)Time elapsed: 0.012 s
% 2.50/0.69 % (2179600)Peak memory usage: 12 MB
% 2.50/0.69 % (2179600)Instructions burned: 23 (million)
% 2.50/0.69 % (2179586)Instruction limit reached!
% 2.50/0.69 % (2179586)------------------------------
% 2.50/0.69 % (2179586)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.50/0.69 % (2179586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/0.69 % (2179586)CaDiCaL version: 2.1.3
% 2.50/0.69 % (2179586)Termination reason: Instruction limit
% 2.50/0.69 % (2179586)Termination phase: Saturation
% 2.50/0.69 % (2179586)Time elapsed: 0.098 s
% 2.50/0.69 % (2179586)Peak memory usage: 12 MB
% 2.50/0.69 % (2179586)Instructions burned: 195 (million)
% 2.50/0.69 % (2179559)Instruction limit reached!
% 2.50/0.69 % (2179559)------------------------------
% 2.50/0.69 % (2179559)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.50/0.69 % (2179559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/0.69 % (2179559)CaDiCaL version: 2.1.3
% 2.50/0.69 % (2179559)Termination reason: Instruction limit
% 2.50/0.69 % (2179559)Termination phase: Saturation
% 2.50/0.69 % (2179559)Time elapsed: 0.231 s
% 2.50/0.69 % (2179559)Peak memory usage: 13 MB
% 2.50/0.69 % (2179559)Instructions burned: 328 (million)
% 2.50/0.69 % (2179605)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=147023156:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/316Mi)
% 2.50/0.69 % (2179607)dis+1003_3:4_to=kbo:plsq=on:prc=on:sims=off:e2e=on:si=on:spb=intro:acc=on:urr=on:uwa=off:foolp=on:s2agt=32:slsqc=3:slsq=on:random_seed=384784078:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2996 on theBenchmark for (2996ds/45Mi)
% 2.50/0.69 % (2179606)dis+1004_4:1_slsqr=1,2:to=lpo:plsq=on:fde=unused:e2e=on:si=on:spb=goal_then_units:acc=on:urr=on:uwa=off:fd=preordered:s2agt=16:slsqc=1:slsq=on:random_seed=1879492271:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2996 on theBenchmark for (2996ds/853Mi)
% 2.50/0.69 % (2179590)Instruction limit reached!
% 2.50/0.69 % (2179590)------------------------------
% 2.50/0.69 % (2179590)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.50/0.69 % (2179590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/0.69 % (2179590)CaDiCaL version: 2.1.3
% 2.50/0.69 % (2179590)Termination reason: Instruction limit
% 2.50/0.69 % (2179590)Termination phase: Saturation
% 2.50/0.69 % (2179590)Time elapsed: 0.119 s
% 2.50/0.69 % (2179590)Peak memory usage: 13 MB
% 2.50/0.69 % (2179590)Instructions burned: 181 (million)
% 2.50/0.69 % (2179596)Instruction limit reached!
% 2.50/0.69 % (2179596)------------------------------
% 2.50/0.69 % (2179596)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.50/0.69 % (2179596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/0.69 % (2179596)CaDiCaL version: 2.1.3
% 2.50/0.69 % (2179596)Termination reason: Instruction limit
% 2.50/0.69 % (2179596)Termination phase: Saturation
% 2.50/0.69 % (2179596)Time elapsed: 0.074 s
% 2.50/0.69 % (2179596)Peak memory usage: 12 MB
% 2.50/0.69 % (2179596)Instructions burned: 169 (million)
% 2.50/0.69 % (2179607) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2179517-2179607"...
% 2.50/0.69 % (2179613)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.50/0.69 % (2179607)...printing done.
% 2.50/0.69 % (2179607)Refutation found. Thanks to Tanya!
% 2.50/0.69 % SZS status Theorem for theBenchmark
% 2.50/0.69 % SZS output start Proof for theBenchmark
% 2.50/0.69 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 2.50/0.69 thf(func_def_0, type, in: ($i > $i > $o)).
% 2.50/0.69 thf(func_def_2, type, setadjoin: ($i > $i > $i)).
% 2.50/0.69 thf(func_def_3, type, dsetconstr: ($i > ($i > $o) > $i)).
% 2.50/0.69 thf(func_def_4, type, dsetconstrER: $o).
% 2.50/0.69 thf(func_def_6, type, setext: $o).
% 2.50/0.69 thf(func_def_7, type, uniqinunit: $o).
% 2.50/0.69 thf(func_def_8, type, eqinunit: $o).
% 2.50/0.69 thf(func_def_9, type, in__Cong: $o).
% 2.50/0.69 thf(func_def_10, type, iftrueProp1: $o).
% 2.50/0.69 thf(func_def_11, type, db0: !>[X0: $tType]:(X0)).
% 2.50/0.69 thf(func_def_12, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 2.50/0.69 thf(func_def_15, type, vOR: ($o > $o > $o)).
% 2.50/0.69 thf(func_def_16, type, vAND: ($o > $o > $o)).
% 2.50/0.69 thf(func_def_17, type, vNOT: ($o > $o)).
% 2.50/0.69 thf(func_def_18, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 2.50/0.69 thf(func_def_22, type, sK3: $o).
% 2.50/0.69 thf(func_def_27, type, sK8: ($i > $i > $i)).
% 2.50/0.69 thf(func_def_28, type, sK9: ($i > $i > $i)).
% 2.50/0.69 thf(func_def_33, type, sK14: ($i > $o)).
% 2.50/0.69 thf(func_def_40, type, sK21: $o).
% 2.50/0.69 thf(f1,axiom,(
% 2.50/0.69 (! [X0 : $i,X1 : ($i > $o),X2 : $i] : ((in @ X2 @ (dsetconstr @ X0 @ (^[X3 : $i] : ((X1 @ X3))))) => (X1 @ X2)) = dsetconstrER)),
% 2.50/0.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p',dsetconstrER)).
% 2.50/0.69 thf(f2,axiom,(
% 2.50/0.69 (setext = ! [X1 : $i,X0 : $i] : (! [X2 : $i] : ((in @ X2 @ X0) => (in @ X2 @ X1)) => (! [X2 : $i] : ((in @ X2 @ X1) => (in @ X2 @ X0)) => (X0 = X1))))),
% 2.50/0.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p',setext)).
% 2.50/0.69 thf(f3,axiom,(
% 2.50/0.69 (uniqinunit = ! [X1 : $i,X0 : $i] : ((in @ X0 @ (setadjoin @ X1 @ emptyset)) => (X0 = X1)))),
% 2.50/0.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p',uniqinunit)).
% 2.50/0.69 thf(f4,axiom,(
% 2.50/0.69 (eqinunit = ! [X1 : $i,X0 : $i] : ((X0 = X1) => (in @ X0 @ (setadjoin @ X1 @ emptyset))))),
% 2.50/0.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p',eqinunit)).
% 2.50/0.69 thf(f6,axiom,(
% 2.50/0.69 (iftrueProp1 = ! [X1 : $o,X0 : $i,X2 : $i] : ((in @ X2 @ X0) => ! [X3 : $i] : ((in @ X3 @ X0) => (X1 => (in @ X2 @ (dsetconstr @ X0 @ (^[X4 : $i] : ((X1 & (X4 = X2)) | ((X4 = X3) & ~X1)))))))))),
% 2.50/0.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p',iftrueProp1)).
% 2.50/0.69 thf(f7,conjecture,(
% 2.50/0.69 dsetconstrER => (setext => (uniqinunit => (eqinunit => (in__Cong => (iftrueProp1 => ! [X0 : $i,X2 : $i,X1 : $o] : ((in @ X2 @ X0) => ! [X3 : $i] : ((in @ X3 @ X0) => (X1 => (((setadjoin @ X2 @ emptyset)) = ((dsetconstr @ X0 @ (^[X4 : $i] : ((~X1 & (X4 = X3)) | ((X4 = X2) & X1))))))))))))))),
% 2.50/0.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p',iftrueProp2)).
% 2.50/0.69 thf(f8,negated_conjecture,(
% 2.50/0.69 ~(dsetconstrER => (setext => (uniqinunit => (eqinunit => (in__Cong => (iftrueProp1 => ! [X0 : $i,X2 : $i,X1 : $o] : ((in @ X2 @ X0) => ! [X3 : $i] : ((in @ X3 @ X0) => (X1 => (((setadjoin @ X2 @ emptyset)) = ((dsetconstr @ X0 @ (^[X4 : $i] : ((~X1 & (X4 = X3)) | ((X4 = X2) & X1)))))))))))))))),
% 2.50/0.69 inference(negated_conjecture,[status(cth)],[f7])).
% 2.50/0.69 thf(f9,plain,(
% 2.50/0.69 (! [X0 : $i,X1 : ($i > $o),X2 : $i] : ((in @ X2 @ (dsetconstr @ X0 @ (^[X3 : $i] : ((X1 @ X3))))) => (X1 @ X2)) = dsetconstrER)),
% 2.50/0.69 inference(rectify,[],[f1])).
% 2.50/0.69 thf(f10,plain,(
% 2.50/0.69 ! [X0 : $i,X2 : $i,X1 : ($i > $o)] : ((((in @ X2 @ (dsetconstr @ X0 @ (^[Y0 : $i]: (X1 @ Y0))))) = $true) => (((X1 @ X2)) = $true)) <=> (dsetconstrER = $true)),
% 2.50/0.69 inference(fool_elimination,[],[f9])).
% 2.50/0.69 thf(f11,plain,(
% 2.50/0.69 (setext = ! [X0 : $i,X1 : $i] : (! [X2 : $i] : ((in @ X2 @ X1) => (in @ X2 @ X0)) => (! [X3 : $i] : ((in @ X3 @ X0) => (in @ X3 @ X1)) => (X0 = X1))))),
% 2.50/0.69 inference(rectify,[],[f2])).
% 2.50/0.69 thf(f12,plain,(
% 2.50/0.69 (setext = $true) <=> ! [X0 : $i,X1 : $i] : (! [X2 : $i] : ((((in @ X2 @ X1)) = $true) => (((in @ X2 @ X0)) = $true)) => (! [X3 : $i] : ((((in @ X3 @ X0)) = $true) => (((in @ X3 @ X1)) = $true)) => (X0 = X1)))),
% 2.50/0.69 inference(fool_elimination,[],[f11])).
% 2.50/0.69 thf(f13,plain,(
% 2.50/0.69 (iftrueProp1 = ! [X0 : $o,X1 : $i,X2 : $i] : ((in @ X2 @ X1) => ! [X3 : $i] : ((in @ X3 @ X1) => (X0 => (in @ X2 @ (dsetconstr @ X1 @ (^[X4 : $i] : ((X0 & (X4 = X2)) | ((X4 = X3) & ~X0)))))))))),
% 2.50/0.69 inference(rectify,[],[f6])).
% 2.50/0.69 thf(f14,plain,(
% 2.50/0.69 ! [X1 : $i,X2 : $i,X0 : $o] : ((((in @ X2 @ X1)) = $true) => ! [X3 : $i] : ((((in @ X3 @ X1)) = $true) => (($true = X0) => (((in @ X2 @ (dsetconstr @ X1 @ (^[Y0 : $i]: (((~ X0) & (X3 = Y0)) | ((X2 = Y0) & X0)))))) = $true)))) <=> (iftrueProp1 = $true)),
% 2.50/0.69 inference(fool_elimination,[],[f13])).
% 2.50/0.69 thf(f15,plain,(
% 2.50/0.69 (uniqinunit = ! [X0 : $i,X1 : $i] : ((in @ X1 @ (setadjoin @ X0 @ emptyset)) => (X0 = X1)))),
% 2.50/0.69 inference(rectify,[],[f3])).
% 2.50/0.69 thf(f16,plain,(
% 2.50/0.69 (uniqinunit = $true) <=> ! [X0 : $i,X1 : $i] : ((((in @ X1 @ (setadjoin @ X0 @ emptyset))) = $true) => (X0 = X1))),
% 2.50/0.69 inference(fool_elimination,[],[f15])).
% 2.50/0.69 thf(f17,plain,(
% 2.50/0.69 ~(dsetconstrER => (setext => (uniqinunit => (eqinunit => (in__Cong => (iftrueProp1 => ! [X0 : $i,X1 : $i,X2 : $o] : ((in @ X1 @ X0) => ! [X3 : $i] : ((in @ X3 @ X0) => (X2 => (((setadjoin @ X1 @ emptyset)) = ((dsetconstr @ X0 @ (^[X4 : $i] : ((~X2 & (X4 = X3)) | ((X1 = X4) & X2)))))))))))))))),
% 2.50/0.69 inference(rectify,[],[f8])).
% 2.50/0.69 thf(f18,plain,(
% 2.50/0.69 ~((dsetconstrER = $true) => ((setext = $true) => ((uniqinunit = $true) => ((eqinunit = $true) => ((in__Cong = $true) => ((iftrueProp1 = $true) => ! [X2 : $o,X1 : $i,X0 : $i] : (($true = ((in @ X1 @ X0))) => ! [X3 : $i] : ((((in @ X3 @ X0)) = $true) => (($true = X2) => (((setadjoin @ X1 @ emptyset)) = ((dsetconstr @ X0 @ (^[Y0 : $i]: ((X2 & (X1 = Y0)) | ((X3 = Y0) & (~ X2))))))))))))))))),
% 2.50/0.69 inference(fool_elimination,[],[f17])).
% 2.50/0.69 thf(f19,plain,(
% 2.50/0.69 (eqinunit = ! [X0 : $i,X1 : $i] : ((X0 = X1) => (in @ X1 @ (setadjoin @ X0 @ emptyset))))),
% 2.50/0.69 inference(rectify,[],[f4])).
% 2.50/0.69 thf(f20,plain,(
% 2.50/0.69 (eqinunit = $true) <=> ! [X0 : $i,X1 : $i] : ((X0 = X1) => (((in @ X1 @ (setadjoin @ X0 @ emptyset))) = $true))),
% 2.50/0.69 inference(fool_elimination,[],[f19])).
% 2.50/0.69 thf(f23,plain,(
% 2.50/0.69 (setext = $true) <=> ! [X0 : $i,X1 : $i] : (((X0 = X1) | ? [X3 : $i] : ((((in @ X3 @ X1)) != $true) & (((in @ X3 @ X0)) = $true))) | ? [X2 : $i] : ((((in @ X2 @ X1)) = $true) & (((in @ X2 @ X0)) != $true)))),
% 2.50/0.69 inference(ennf_transformation,[],[f12])).
% 2.50/0.69 thf(f24,plain,(
% 2.50/0.69 (setext = $true) <=> ! [X0 : $i,X1 : $i] : ((X0 = X1) | ? [X2 : $i] : ((((in @ X2 @ X1)) = $true) & (((in @ X2 @ X0)) != $true)) | ? [X3 : $i] : ((((in @ X3 @ X1)) != $true) & (((in @ X3 @ X0)) = $true)))),
% 2.50/0.69 inference(flattening,[],[f23])).
% 2.50/0.69 thf(f25,plain,(
% 2.50/0.69 ! [X0 : $i,X1 : $i] : ((((in @ X1 @ (setadjoin @ X0 @ emptyset))) != $true) | (X0 = X1)) <=> (uniqinunit = $true)),
% 2.50/0.69 inference(ennf_transformation,[],[f16])).
% 2.50/0.69 thf(f26,plain,(
% 2.50/0.69 (eqinunit = $true) <=> ! [X1 : $i,X0 : $i] : ((((in @ X1 @ (setadjoin @ X0 @ emptyset))) = $true) | (X0 != X1))),
% 2.50/0.69 inference(ennf_transformation,[],[f20])).
% 2.50/0.69 thf(f27,plain,(
% 2.50/0.69 ! [X1 : $i,X2 : $i,X0 : $o] : (! [X3 : $i] : (((((in @ X2 @ (dsetconstr @ X1 @ (^[Y0 : $i]: (((~ X0) & (X3 = Y0)) | ((X2 = Y0) & X0)))))) = $true) | ($true != X0)) | (((in @ X3 @ X1)) != $true)) | (((in @ X2 @ X1)) != $true)) <=> (iftrueProp1 = $true)),
% 2.50/0.69 inference(ennf_transformation,[],[f14])).
% 2.50/0.69 thf(f28,plain,(
% 2.50/0.69 (iftrueProp1 = $true) <=> ! [X2 : $i,X0 : $o,X1 : $i] : (! [X3 : $i] : ((((in @ X3 @ X1)) != $true) | ($true != X0) | (((in @ X2 @ (dsetconstr @ X1 @ (^[Y0 : $i]: (((~ X0) & (X3 = Y0)) | ((X2 = Y0) & X0)))))) = $true)) | (((in @ X2 @ X1)) != $true))),
% 2.50/0.69 inference(flattening,[],[f27])).
% 2.50/0.69 thf(f30,plain,(
% 2.50/0.69 (((((? [X2 : $o,X1 : $i,X0 : $i] : (? [X3 : $i] : (((((setadjoin @ X1 @ emptyset)) != ((dsetconstr @ X0 @ (^[Y0 : $i]: ((X2 & (X1 = Y0)) | ((X3 = Y0) & (~ X2))))))) & ($true = X2)) & (((in @ X3 @ X0)) = $true)) & ($true = ((in @ X1 @ X0)))) & (iftrueProp1 = $true)) & (in__Cong = $true)) & (eqinunit = $true)) & (uniqinunit = $true)) & (setext = $true)) & (dsetconstrER = $true)),
% 2.50/0.69 inference(ennf_transformation,[],[f18])).
% 2.50/0.69 thf(f31,plain,(
% 2.50/0.69 (in__Cong = $true) & (iftrueProp1 = $true) & (dsetconstrER = $true) & (setext = $true) & ? [X0 : $i,X1 : $i,X2 : $o] : (($true = ((in @ X1 @ X0))) & ? [X3 : $i] : (($true = X2) & (((in @ X3 @ X0)) = $true) & (((setadjoin @ X1 @ emptyset)) != ((dsetconstr @ X0 @ (^[Y0 : $i]: ((X2 & (X1 = Y0)) | ((X3 = Y0) & (~ X2))))))))) & (uniqinunit = $true) & (eqinunit = $true)),
% 2.50/0.69 inference(flattening,[],[f30])).
% 2.50/0.69 thf(f32,plain,(
% 2.50/0.69 (dsetconstrER = $true) <=> ! [X0 : $i,X2 : $i,X1 : ($i > $o)] : ((((in @ X2 @ (dsetconstr @ X0 @ (^[Y0 : $i]: (X1 @ Y0))))) != $true) | (((X1 @ X2)) = $true))),
% 2.50/0.69 inference(ennf_transformation,[],[f10])).
% 2.50/0.69 thf(f33,plain,(
% 2.50/0.69 ((eqinunit = $true) | ? [X1 : $i,X0 : $i] : ((((in @ X1 @ (setadjoin @ X0 @ emptyset))) != $true) & (X0 = X1))) & (! [X1 : $i,X0 : $i] : ((((in @ X1 @ (setadjoin @ X0 @ emptyset))) = $true) | (X0 != X1)) | (eqinunit != $true))),
% 2.50/0.69 inference(nnf_transformation,[],[f26])).
% 2.50/0.69 thf(f34,plain,(
% 2.50/0.69 ((eqinunit = $true) | ? [X0 : $i,X1 : $i] : ((((in @ X0 @ (setadjoin @ X1 @ emptyset))) != $true) & (X0 = X1))) & (! [X2 : $i,X3 : $i] : ((((in @ X2 @ (setadjoin @ X3 @ emptyset))) = $true) | (X2 != X3)) | (eqinunit != $true))),
% 2.50/0.69 inference(rectify,[],[f33])).
% 2.50/0.69 thf(f35,plain,(
% 2.50/0.69 ((eqinunit = $true) | ((((in @ sK0 @ (setadjoin @ sK1 @ emptyset))) != $true) & (sK0 = sK1))) & (! [X2 : $i,X3 : $i] : ((((in @ X2 @ (setadjoin @ X3 @ emptyset))) = $true) | (X2 != X3)) | (eqinunit != $true))),
% 2.50/0.69 inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f34])).
% 2.50/0.69 thf(f36,plain,(
% 2.50/0.69 ((iftrueProp1 = $true) | ? [X2 : $i,X0 : $o,X1 : $i] : (? [X3 : $i] : ((((in @ X3 @ X1)) = $true) & ($true = X0) & (((in @ X2 @ (dsetconstr @ X1 @ (^[Y0 : $i]: (((~ X0) & (X3 = Y0)) | ((X2 = Y0) & X0)))))) != $true)) & (((in @ X2 @ X1)) = $true))) & (! [X2 : $i,X0 : $o,X1 : $i] : (! [X3 : $i] : ((((in @ X3 @ X1)) != $true) | ($true != X0) | (((in @ X2 @ (dsetconstr @ X1 @ (^[Y0 : $i]: (((~ X0) & (X3 = Y0)) | ((X2 = Y0) & X0)))))) = $true)) | (((in @ X2 @ X1)) != $true)) | (iftrueProp1 != $true))),
% 2.50/0.69 inference(nnf_transformation,[],[f28])).
% 2.50/0.69 thf(f37,plain,(
% 2.50/0.69 ((iftrueProp1 = $true) | ? [X0 : $i,X1 : $o,X2 : $i] : (? [X3 : $i] : (($true = ((in @ X3 @ X2))) & ($true = X1) & (((in @ X0 @ (dsetconstr @ X2 @ (^[Y0 : $i]: (((~ X1) & (X3 = Y0)) | ((X0 = Y0) & X1)))))) != $true)) & (((in @ X0 @ X2)) = $true))) & (! [X4 : $i,X5 : $o,X6 : $i] : (! [X7 : $i] : ((((in @ X7 @ X6)) != $true) | ($true != X5) | (((in @ X4 @ (dsetconstr @ X6 @ (^[Y0 : $i]: (((~ X5) & (X7 = Y0)) | ((X4 = Y0) & X5)))))) = $true)) | (((in @ X4 @ X6)) != $true)) | (iftrueProp1 != $true))),
% 2.50/0.69 inference(rectify,[],[f36])).
% 2.50/0.69 thf(f38,plain,(
% 2.50/0.69 ((iftrueProp1 = $true) | (((((in @ sK5 @ sK4)) = $true) & ($true = sK3) & (((in @ sK2 @ (dsetconstr @ sK4 @ (^[Y0 : $i]: (((~ sK3) & (sK5 = Y0)) | ((sK2 = Y0) & sK3)))))) != $true)) & (((in @ sK2 @ sK4)) = $true))) & (! [X4 : $i,X5 : $o,X6 : $i] : (! [X7 : $i] : ((((in @ X7 @ X6)) != $true) | ($true != X5) | (((in @ X4 @ (dsetconstr @ X6 @ (^[Y0 : $i]: (((~ X5) & (X7 = Y0)) | ((X4 = Y0) & X5)))))) = $true)) | (((in @ X4 @ X6)) != $true)) | (iftrueProp1 != $true))),
% 2.50/0.69 inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X2,sK4),skolemize(X3,sK5)],[f37])).
% 2.50/0.69 thf(f39,plain,(
% 2.50/0.69 ((setext = $true) | ? [X0 : $i,X1 : $i] : ((X0 != X1) & ! [X2 : $i] : ((((in @ X2 @ X1)) != $true) | (((in @ X2 @ X0)) = $true)) & ! [X3 : $i] : ((((in @ X3 @ X1)) = $true) | (((in @ X3 @ X0)) != $true)))) & (! [X0 : $i,X1 : $i] : ((X0 = X1) | ? [X2 : $i] : ((((in @ X2 @ X1)) = $true) & (((in @ X2 @ X0)) != $true)) | ? [X3 : $i] : ((((in @ X3 @ X1)) != $true) & (((in @ X3 @ X0)) = $true))) | (setext != $true))),
% 2.50/0.69 inference(nnf_transformation,[],[f24])).
% 2.50/0.69 thf(f40,plain,(
% 2.50/0.69 ((setext = $true) | ? [X0 : $i,X1 : $i] : ((X0 != X1) & ! [X2 : $i] : ((((in @ X2 @ X1)) != $true) | (((in @ X2 @ X0)) = $true)) & ! [X3 : $i] : ((((in @ X3 @ X1)) = $true) | (((in @ X3 @ X0)) != $true)))) & (! [X4 : $i,X5 : $i] : ((X4 = X5) | ? [X6 : $i] : ((((in @ X6 @ X5)) = $true) & ($true != ((in @ X6 @ X4)))) | ? [X7 : $i] : ((((in @ X7 @ X5)) != $true) & (((in @ X7 @ X4)) = $true))) | (setext != $true))),
% 2.50/0.69 inference(rectify,[],[f39])).
% 2.50/0.69 thf(f41,plain,(
% 2.50/0.69 ((setext = $true) | ((sK7 != sK6) & ! [X2 : $i] : (($true != ((in @ X2 @ sK7))) | (((in @ X2 @ sK6)) = $true)) & ! [X3 : $i] : ((((in @ X3 @ sK7)) = $true) | (((in @ X3 @ sK6)) != $true)))) & (! [X4 : $i,X5 : $i] : ((X4 = X5) | ((((in @ (sK8 @ X5 @ X4) @ X5)) = $true) & (((in @ (sK8 @ X5 @ X4) @ X4)) != $true)) | ((((in @ (sK9 @ X5 @ X4) @ X5)) != $true) & (((in @ (sK9 @ X5 @ X4) @ X4)) = $true))) | (setext != $true))),
% 2.50/0.69 inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7,vAPP,vAPP]),skolemize(X0,sK6),skolemize(X1,sK7),skolemize(X7,sK9 @ X5 @ X4),skolemize(X7,sK9 @ X5 @ X4)],[f40])).
% 2.50/0.69 thf(f42,plain,(
% 2.50/0.69 (! [X0 : $i,X1 : $i] : ((((in @ X1 @ (setadjoin @ X0 @ emptyset))) != $true) | (X0 = X1)) | (uniqinunit != $true)) & ((uniqinunit = $true) | ? [X0 : $i,X1 : $i] : ((((in @ X1 @ (setadjoin @ X0 @ emptyset))) = $true) & (X0 != X1)))),
% 2.50/0.69 inference(nnf_transformation,[],[f25])).
% 2.50/0.69 thf(f43,plain,(
% 2.50/0.69 (! [X0 : $i,X1 : $i] : ((((in @ X1 @ (setadjoin @ X0 @ emptyset))) != $true) | (X0 = X1)) | (uniqinunit != $true)) & ((uniqinunit = $true) | ? [X2 : $i,X3 : $i] : ((((in @ X3 @ (setadjoin @ X2 @ emptyset))) = $true) & (X2 != X3)))),
% 2.50/0.69 inference(rectify,[],[f42])).
% 2.50/0.69 thf(f44,plain,(
% 2.50/0.69 (! [X0 : $i,X1 : $i] : ((((in @ X1 @ (setadjoin @ X0 @ emptyset))) != $true) | (X0 = X1)) | (uniqinunit != $true)) & ((uniqinunit = $true) | ((((in @ sK11 @ (setadjoin @ sK10 @ emptyset))) = $true) & (sK11 != sK10)))),
% 2.50/0.69 inference(skolemize,[status(esa),new_symbols(skolem,[sK10,sK11]),skolemize(X2,sK10),skolemize(X3,sK11)],[f43])).
% 2.50/0.69 thf(f45,plain,(
% 2.50/0.69 ((dsetconstrER = $true) | ? [X0 : $i,X2 : $i,X1 : ($i > $o)] : ((((in @ X2 @ (dsetconstr @ X0 @ (^[Y0 : $i]: (X1 @ Y0))))) = $true) & (((X1 @ X2)) != $true))) & (! [X0 : $i,X2 : $i,X1 : ($i > $o)] : ((((in @ X2 @ (dsetconstr @ X0 @ (^[Y0 : $i]: (X1 @ Y0))))) != $true) | (((X1 @ X2)) = $true)) | (dsetconstrER != $true))),
% 2.50/0.69 inference(nnf_transformation,[],[f32])).
% 2.50/0.69 thf(f46,plain,(
% 2.50/0.69 ((dsetconstrER = $true) | ? [X0 : $i,X1 : $i,X2 : ($i > $o)] : (($true = ((in @ X1 @ (dsetconstr @ X0 @ (^[Y0 : $i]: (X2 @ Y0)))))) & (((X2 @ X1)) != $true))) & (! [X3 : $i,X4 : $i,X5 : ($i > $o)] : (($true != ((in @ X4 @ (dsetconstr @ X3 @ (^[Y0 : $i]: (X5 @ Y0)))))) | (((X5 @ X4)) = $true)) | (dsetconstrER != $true))),
% 2.50/0.69 inference(rectify,[],[f45])).
% 2.50/0.69 thf(f47,plain,(
% 2.50/0.69 ((dsetconstrER = $true) | ((((in @ sK13 @ (dsetconstr @ sK12 @ (^[Y0 : $i]: (sK14 @ Y0))))) = $true) & (((sK14 @ sK13)) != $true))) & (! [X3 : $i,X4 : $i,X5 : ($i > $o)] : (($true != ((in @ X4 @ (dsetconstr @ X3 @ (^[Y0 : $i]: (X5 @ Y0)))))) | (((X5 @ X4)) = $true)) | (dsetconstrER != $true))),
% 2.50/0.69 inference(skolemize,[status(esa),new_symbols(skolem,[sK12,sK13,sK14]),skolemize(X0,sK12),skolemize(X1,sK13),skolemize(X2,sK14)],[f46])).
% 2.50/0.69 thf(f51,plain,(
% 2.50/0.69 (in__Cong = $true) & (iftrueProp1 = $true) & (dsetconstrER = $true) & (setext = $true) & ((((in @ sK20 @ sK19)) = $true) & ((sK21 = $true) & (((in @ sK22 @ sK19)) = $true) & (((setadjoin @ sK20 @ emptyset)) != ((dsetconstr @ sK19 @ (^[Y0 : $i]: ((sK21 & (sK20 = Y0)) | ((sK22 = Y0) & (~ sK21))))))))) & (uniqinunit = $true) & (eqinunit = $true)),
% 2.50/0.69 inference(skolemize,[status(esa),new_symbols(skolem,[sK19,sK20,sK21,sK22]),skolemize(X0,sK19),skolemize(X1,sK20),skolemize(X2,sK21),skolemize(X3,sK22)],[f31])).
% 2.50/0.69 thf(f52,plain,(
% 2.50/0.69 ( ! [X2 : $i,X3 : $i] : ((((in @ X2 @ (setadjoin @ X3 @ emptyset))) = $true) | (X2 != X3) | (eqinunit != $true)) )),
% 2.50/0.69 inference(cnf_transformation,[],[f35])).
% 2.50/0.69 thf(f55,plain,(
% 2.50/0.69 ( ! [X6 : $i,X7 : $i,X4 : $i,X5 : $o] : ((((in @ X7 @ X6)) != $true) | ($true != X5) | (((in @ X4 @ (dsetconstr @ X6 @ (^[Y0 : $i]: (((~ X5) & (X7 = Y0)) | ((X4 = Y0) & X5)))))) = $true) | (((in @ X4 @ X6)) != $true) | (iftrueProp1 != $true)) )),
% 2.50/0.69 inference(cnf_transformation,[],[f38])).
% 2.50/0.69 thf(f60,plain,(
% 2.50/0.69 ( ! [X4 : $i,X5 : $i] : ((X4 = X5) | (((in @ (sK8 @ X5 @ X4) @ X4)) != $true) | (((in @ (sK9 @ X5 @ X4) @ X4)) = $true) | (setext != $true)) )),
% 2.50/0.69 inference(cnf_transformation,[],[f41])).
% 2.50/0.69 thf(f61,plain,(
% 2.50/0.69 ( ! [X4 : $i,X5 : $i] : ((X4 = X5) | (((in @ (sK8 @ X5 @ X4) @ X4)) != $true) | (((in @ (sK9 @ X5 @ X4) @ X5)) != $true) | (setext != $true)) )),
% 2.50/0.69 inference(cnf_transformation,[],[f41])).
% 2.50/0.69 thf(f62,plain,(
% 2.50/0.69 ( ! [X4 : $i,X5 : $i] : ((X4 = X5) | (((in @ (sK8 @ X5 @ X4) @ X5)) = $true) | (((in @ (sK9 @ X5 @ X4) @ X4)) = $true) | (setext != $true)) )),
% 2.50/0.69 inference(cnf_transformation,[],[f41])).
% 2.50/0.69 thf(f63,plain,(
% 2.50/0.69 ( ! [X4 : $i,X5 : $i] : ((X4 = X5) | (((in @ (sK8 @ X5 @ X4) @ X5)) = $true) | (((in @ (sK9 @ X5 @ X4) @ X5)) != $true) | (setext != $true)) )),
% 2.50/0.69 inference(cnf_transformation,[],[f41])).
% 2.50/0.69 thf(f69,plain,(
% 2.50/0.69 ( ! [X0 : $i,X1 : $i] : ((((in @ X1 @ (setadjoin @ X0 @ emptyset))) != $true) | (X0 = X1) | (uniqinunit != $true)) )),
% 2.50/0.69 inference(cnf_transformation,[],[f44])).
% 2.50/0.69 thf(f70,plain,(
% 2.50/0.69 ( ! [X3 : $i,X4 : $i,X5 : ($i > $o)] : (($true != ((in @ X4 @ (dsetconstr @ X3 @ (^[Y0 : $i]: (X5 @ Y0)))))) | (((X5 @ X4)) = $true) | (dsetconstrER != $true)) )),
% 2.50/0.69 inference(cnf_transformation,[],[f47])).
% 2.50/0.69 thf(f77,plain,(
% 2.50/0.69 (eqinunit = $true)),
% 2.50/0.69 inference(cnf_transformation,[],[f51])).
% 2.50/0.69 thf(f78,plain,(
% 2.50/0.69 (uniqinunit = $true)),
% 2.50/0.69 inference(cnf_transformation,[],[f51])).
% 2.50/0.69 thf(f79,plain,(
% 2.50/0.69 (((setadjoin @ sK20 @ emptyset)) != ((dsetconstr @ sK19 @ (^[Y0 : $i]: ((sK21 & (sK20 = Y0)) | ((sK22 = Y0) & (~ sK21)))))))),
% 2.50/0.69 inference(cnf_transformation,[],[f51])).
% 2.50/0.69 thf(f80,plain,(
% 2.50/0.69 (((in @ sK22 @ sK19)) = $true)),
% 2.50/0.69 inference(cnf_transformation,[],[f51])).
% 2.50/0.69 thf(f81,plain,(
% 2.50/0.69 (sK21 = $true)),
% 2.50/0.69 inference(cnf_transformation,[],[f51])).
% 2.50/0.69 thf(f82,plain,(
% 2.50/0.69 (((in @ sK20 @ sK19)) = $true)),
% 2.50/0.69 inference(cnf_transformation,[],[f51])).
% 2.50/0.69 thf(f83,plain,(
% 2.50/0.69 (setext = $true)),
% 2.50/0.69 inference(cnf_transformation,[],[f51])).
% 2.50/0.69 thf(f84,plain,(
% 2.50/0.69 (dsetconstrER = $true)),
% 2.50/0.69 inference(cnf_transformation,[],[f51])).
% 2.50/0.69 thf(f85,plain,(
% 2.50/0.69 (iftrueProp1 = $true)),
% 2.50/0.69 inference(cnf_transformation,[],[f51])).
% 2.50/0.69 thf(f90,plain,(
% 2.50/0.69 ( ! [X2 : $i,X3 : $i] : ((((in @ X2 @ (setadjoin @ X3 @ emptyset))) = $true) | (X2 != X3) | ($true != $true)) )),
% 2.50/0.69 inference(definition_unfolding,[],[f52,f77])).
% 2.50/0.69 thf(f95,plain,(
% 2.50/0.69 ( ! [X6 : $i,X7 : $i,X4 : $i,X5 : $o] : ((((in @ X7 @ X6)) != $true) | ($true != X5) | (((in @ X4 @ (dsetconstr @ X6 @ (^[Y0 : $i]: (((~ X5) & (X7 = Y0)) | ((X4 = Y0) & X5)))))) = $true) | (((in @ X4 @ X6)) != $true) | ($true != $true)) )),
% 2.50/0.69 inference(definition_unfolding,[],[f55,f85])).
% 2.50/0.69 thf(f99,plain,(
% 2.50/0.69 ( ! [X4 : $i,X5 : $i] : (($true != $true) | (((in @ (sK9 @ X5 @ X4) @ X5)) != $true) | (X4 = X5) | (((in @ (sK8 @ X5 @ X4) @ X5)) = $true)) )),
% 2.50/0.69 inference(definition_unfolding,[],[f63,f83])).
% 2.50/0.69 thf(f100,plain,(
% 2.50/0.69 ( ! [X4 : $i,X5 : $i] : ((((in @ (sK8 @ X5 @ X4) @ X5)) = $true) | ($true != $true) | (X4 = X5) | (((in @ (sK9 @ X5 @ X4) @ X4)) = $true)) )),
% 2.50/0.69 inference(definition_unfolding,[],[f62,f83])).
% 2.50/0.69 thf(f101,plain,(
% 2.50/0.69 ( ! [X4 : $i,X5 : $i] : ((((in @ (sK8 @ X5 @ X4) @ X4)) != $true) | (X4 = X5) | (((in @ (sK9 @ X5 @ X4) @ X5)) != $true) | ($true != $true)) )),
% 2.50/0.69 inference(definition_unfolding,[],[f61,f83])).
% 2.50/0.69 thf(f102,plain,(
% 2.50/0.69 ( ! [X4 : $i,X5 : $i] : ((((in @ (sK8 @ X5 @ X4) @ X4)) != $true) | (((in @ (sK9 @ X5 @ X4) @ X4)) = $true) | (X4 = X5) | ($true != $true)) )),
% 2.50/0.69 inference(definition_unfolding,[],[f60,f83])).
% 2.50/0.69 thf(f103,plain,(
% 2.50/0.69 ( ! [X0 : $i,X1 : $i] : ((X0 = X1) | (((in @ X1 @ (setadjoin @ X0 @ emptyset))) != $true) | ($true != $true)) )),
% 2.50/0.69 inference(definition_unfolding,[],[f69,f78])).
% 2.50/0.69 thf(f108,plain,(
% 2.50/0.69 ( ! [X3 : $i,X4 : $i,X5 : ($i > $o)] : (($true != ((in @ X4 @ (dsetconstr @ X3 @ (^[Y0 : $i]: (X5 @ Y0)))))) | ($true != $true) | (((X5 @ X4)) = $true)) )),
% 2.50/0.69 inference(definition_unfolding,[],[f70,f84])).
% 2.50/0.69 thf(f113,plain,(
% 2.50/0.69 (((setadjoin @ sK20 @ emptyset)) != ((dsetconstr @ sK19 @ (^[Y0 : $i]: (($true & (sK20 = Y0)) | ((sK22 = Y0) & (~ $true)))))))),
% 2.50/0.69 inference(definition_unfolding,[],[f79,f81,f81])).
% 2.50/0.69 thf(f114,plain,(
% 2.50/0.69 ( ! [X3 : $i] : ((((in @ X3 @ (setadjoin @ X3 @ emptyset))) = $true) | ($true != $true)) )),
% 2.50/0.69 inference(equality_resolution,[],[f90])).
% 2.50/0.69 thf(f115,plain,(
% 2.50/0.69 ( ! [X6 : $i,X7 : $i,X4 : $i] : ((((in @ X7 @ X6)) != $true) | (((in @ X4 @ X6)) != $true) | ($true != $true) | ($true = ((in @ X4 @ (dsetconstr @ X6 @ (^[Y0 : $i]: (((~ $true) & (X7 = Y0)) | ((X4 = Y0) & $true)))))))) )),
% 2.50/0.69 inference(equality_resolution,[],[f95])).
% 2.50/0.69 thf(f118,plain,(
% 2.50/0.69 ( ! [X4 : $i,X5 : $i] : ((((in @ (sK8 @ X5 @ X4) @ X4)) != $true) | (X4 = X5) | (((in @ (sK9 @ X5 @ X4) @ X4)) = $true)) )),
% 2.50/0.69 inference(trivial_inequality_removal,[],[f102])).
% 2.50/0.69 thf(f119,plain,(
% 2.50/0.69 ( ! [X4 : $i,X5 : $i] : ((((in @ (sK9 @ X5 @ X4) @ X5)) != $true) | (((in @ (sK8 @ X5 @ X4) @ X4)) != $true) | (X4 = X5)) )),
% 2.50/0.69 inference(trivial_inequality_removal,[],[f101])).
% 2.50/0.69 thf(f120,plain,(
% 2.50/0.69 ( ! [X3 : $i,X4 : $i,X5 : ($i > $o)] : (($true != ((in @ X4 @ (dsetconstr @ X3 @ (^[Y0 : $i]: (X5 @ Y0)))))) | (((X5 @ X4)) = $true)) )),
% 2.50/0.69 inference(trivial_inequality_removal,[],[f108])).
% 2.50/0.69 thf(f121,plain,(
% 2.50/0.69 ( ! [X3 : $i,X4 : $i,X5 : ($i > $o)] : ((((in @ X4 @ (dsetconstr @ X3 @ X5))) != $true) | (((X5 @ X4)) = $true)) )),
% 2.50/0.69 inference(beta-eta_normalization,[],[f120])).
% 2.50/0.69 thf(f122,plain,(
% 2.50/0.69 ( ! [X4 : $i,X5 : $i] : ((((in @ (sK9 @ X5 @ X4) @ X5)) != $true) | (((in @ (sK8 @ X5 @ X4) @ X5)) = $true) | (X4 = X5)) )),
% 2.50/0.69 inference(trivial_inequality_removal,[],[f99])).
% 2.50/0.69 thf(f123,plain,(
% 2.50/0.69 ( ! [X6 : $i,X7 : $i,X4 : $i] : ((((in @ X4 @ X6)) != $true) | (((in @ X7 @ X6)) != $true) | ($true = ((in @ X4 @ (dsetconstr @ X6 @ (^[Y0 : $i]: (((~ $true) & (X7 = Y0)) | ((X4 = Y0) & $true)))))))) )),
% 2.50/0.69 inference(trivial_inequality_removal,[],[f115])).
% 2.50/0.69 thf(f124,plain,(
% 2.50/0.69 ( ! [X6 : $i,X7 : $i,X4 : $i] : ((((in @ X4 @ (dsetconstr @ X6 @ (^[Y0 : $i]: (((~ $true) & (X7 = Y0)) | (X4 = Y0)))))) = $true) | (((in @ X4 @ X6)) != $true) | (((in @ X7 @ X6)) != $true)) )),
% 2.50/0.69 inference(boolean_simplification,[],[f123])).
% 2.50/0.69 thf(f125,plain,(
% 2.50/0.69 ( ! [X6 : $i,X7 : $i,X4 : $i] : ((((in @ X4 @ X6)) != $true) | ($true = ((in @ X4 @ (dsetconstr @ X6 @ (^[Y0 : $i]: (($false & (X7 = Y0)) | (X4 = Y0))))))) | (((in @ X7 @ X6)) != $true)) )),
% 2.50/0.69 inference(boolean_simplification,[],[f124])).
% 2.50/0.69 thf(f126,plain,(
% 2.50/0.69 ( ! [X6 : $i,X7 : $i,X4 : $i] : ((((in @ X4 @ (dsetconstr @ X6 @ (^[Y0 : $i]: ($false | (X4 = Y0)))))) = $true) | (((in @ X4 @ X6)) != $true) | (((in @ X7 @ X6)) != $true)) )),
% 2.50/0.69 inference(boolean_simplification,[],[f125])).
% 2.50/0.69 thf(f127,plain,(
% 2.50/0.69 ( ! [X6 : $i,X7 : $i,X4 : $i] : ((((in @ X4 @ (dsetconstr @ X6 @ (^[Y0 : $i]: (X4 = Y0))))) = $true) | (((in @ X7 @ X6)) != $true) | (((in @ X4 @ X6)) != $true)) )),
% 2.50/0.69 inference(boolean_simplification,[],[f126])).
% 2.50/0.69 thf(f128,plain,(
% 2.50/0.69 ( ! [X6 : $i,X7 : $i,X4 : $i] : ((((in @ X7 @ X6)) != $true) | (((in @ X4 @ X6)) != $true) | (((in @ X4 @ (dsetconstr @ X6 @ (= @ X4)))) = $true)) )),
% 2.50/0.69 inference(beta-eta_normalization,[],[f127])).
% 2.50/0.69 thf(f129,plain,(
% 2.50/0.69 ( ! [X0 : $i,X1 : $i] : ((((in @ X1 @ (setadjoin @ X0 @ emptyset))) != $true) | (X0 = X1)) )),
% 2.50/0.69 inference(trivial_inequality_removal,[],[f103])).
% 2.50/0.69 thf(f130,plain,(
% 2.50/0.69 ( ! [X4 : $i,X5 : $i] : ((((in @ (sK9 @ X5 @ X4) @ X4)) = $true) | (X4 = X5) | (((in @ (sK8 @ X5 @ X4) @ X5)) = $true)) )),
% 2.50/0.69 inference(trivial_inequality_removal,[],[f100])).
% 2.50/0.69 thf(f133,plain,(
% 2.50/0.69 ( ! [X3 : $i] : ((((in @ X3 @ (setadjoin @ X3 @ emptyset))) = $true)) )),
% 2.50/0.69 inference(trivial_inequality_removal,[],[f114])).
% 2.50/0.69 thf(f136,plain,(
% 2.50/0.69 (((dsetconstr @ sK19 @ (^[Y0 : $i]: (($true & (sK20 = Y0)) | ((sK22 = Y0) & $false))))) != ((setadjoin @ sK20 @ emptyset)))),
% 2.50/0.69 inference(boolean_simplification,[],[f113])).
% 2.50/0.69 thf(f137,plain,(
% 2.50/0.69 (((setadjoin @ sK20 @ emptyset)) != ((dsetconstr @ sK19 @ (^[Y0 : $i]: (($true & (sK20 = Y0)) | $false)))))),
% 2.50/0.69 inference(boolean_simplification,[],[f136])).
% 2.50/0.69 thf(f138,plain,(
% 2.50/0.69 (((setadjoin @ sK20 @ emptyset)) != ((dsetconstr @ sK19 @ (^[Y0 : $i]: ($true & (sK20 = Y0))))))),
% 2.50/0.69 inference(boolean_simplification,[],[f137])).
% 2.50/0.69 thf(f139,plain,(
% 2.50/0.69 (((setadjoin @ sK20 @ emptyset)) != ((dsetconstr @ sK19 @ (^[Y0 : $i]: (sK20 = Y0)))))),
% 2.50/0.69 inference(boolean_simplification,[],[f138])).
% 2.50/0.69 thf(f140,plain,(
% 2.50/0.69 (((setadjoin @ sK20 @ emptyset)) != ((dsetconstr @ sK19 @ (= @ sK20))))),
% 2.50/0.69 inference(beta-eta_normalization,[],[f139])).
% 2.50/0.69 thf(f142,definition,(
% 2.50/0.69 spl23_1 <=> (((in @ sK22 @ sK19)) = $true)),
% 2.50/0.69 introduced(definition,[new_symbols(definition,[spl23_1])],[avatar_definition])).
% 2.50/0.69 thf(f144,plain,(
% 2.50/0.69 (((in @ sK22 @ sK19)) = $true) | ~spl23_1),
% 2.50/0.69 inference(avatar_component_clause,[],[f142])).
% 2.50/0.69 thf(f145,plain,(
% 2.50/0.69 spl23_1),
% 2.50/0.69 inference(avatar_split_clause,[],[f80,f142])).
% 2.50/0.69 thf(f147,definition,(
% 2.50/0.69 spl23_2 <=> (((setadjoin @ sK20 @ emptyset)) = ((dsetconstr @ sK19 @ (= @ sK20))))),
% 2.50/0.69 introduced(definition,[new_symbols(definition,[spl23_2])],[avatar_definition])).
% 2.50/0.69 thf(f149,plain,(
% 2.50/0.69 (((setadjoin @ sK20 @ emptyset)) != ((dsetconstr @ sK19 @ (= @ sK20)))) | spl23_2),
% 2.50/0.69 inference(avatar_component_clause,[],[f147])).
% 2.50/0.69 thf(f150,plain,(
% 2.50/0.69 ~spl23_2),
% 2.50/0.69 inference(avatar_split_clause,[],[f140,f147])).
% 2.50/0.69 thf(f152,definition,(
% 2.50/0.69 spl23_3 <=> (((in @ sK20 @ sK19)) = $true)),
% 2.50/0.69 introduced(definition,[new_symbols(definition,[spl23_3])],[avatar_definition])).
% 2.50/0.69 thf(f154,plain,(
% 2.50/0.69 (((in @ sK20 @ sK19)) = $true) | ~spl23_3),
% 2.50/0.69 inference(avatar_component_clause,[],[f152])).
% 2.50/0.69 thf(f155,plain,(
% 2.50/0.69 spl23_3),
% 2.50/0.69 inference(avatar_split_clause,[],[f82,f152])).
% 2.50/0.69 thf(f172,plain,(
% 2.50/0.69 (((in @ (sK8 @ (setadjoin @ sK20 @ emptyset) @ (dsetconstr @ sK19 @ (= @ sK20))) @ (dsetconstr @ sK19 @ (= @ sK20)))) != $true) | ($true = ((in @ (sK9 @ (setadjoin @ sK20 @ emptyset) @ (dsetconstr @ sK19 @ (= @ sK20))) @ (dsetconstr @ sK19 @ (= @ sK20))))) | spl23_2),
% 2.50/0.69 inference(extensionality_resolution,[],[f118,f149])).
% 2.50/0.69 thf(f183,definition,(
% 2.50/0.69 spl23_8 <=> ($true = ((in @ (sK9 @ (setadjoin @ sK20 @ emptyset) @ (dsetconstr @ sK19 @ (= @ sK20))) @ (dsetconstr @ sK19 @ (= @ sK20)))))),
% 2.50/0.69 introduced(definition,[new_symbols(definition,[spl23_8])],[avatar_definition])).
% 2.50/0.69 thf(f185,plain,(
% 2.50/0.69 ($true = ((in @ (sK9 @ (setadjoin @ sK20 @ emptyset) @ (dsetconstr @ sK19 @ (= @ sK20))) @ (dsetconstr @ sK19 @ (= @ sK20))))) | ~spl23_8),
% 2.50/0.69 inference(avatar_component_clause,[],[f183])).
% 2.50/0.69 thf(f187,definition,(
% 2.50/0.69 spl23_9 <=> (((in @ (sK8 @ (setadjoin @ sK20 @ emptyset) @ (dsetconstr @ sK19 @ (= @ sK20))) @ (dsetconstr @ sK19 @ (= @ sK20)))) = $true)),
% 2.50/0.69 introduced(definition,[new_symbols(definition,[spl23_9])],[avatar_definition])).
% 2.50/0.69 thf(f190,plain,(
% 2.50/0.69 spl23_8 | ~spl23_9 | spl23_2),
% 2.50/0.69 inference(avatar_split_clause,[],[f172,f147,f187,f183])).
% 2.50/0.69 thf(f206,definition,(
% 2.50/0.69 spl23_12 <=> (((in @ (sK8 @ (setadjoin @ sK20 @ emptyset) @ (dsetconstr @ sK19 @ (= @ sK20))) @ (setadjoin @ sK20 @ emptyset))) = $true)),
% 2.50/0.69 introduced(definition,[new_symbols(definition,[spl23_12])],[avatar_definition])).
% 2.50/0.69 thf(f207,plain,(
% 2.50/0.69 (((in @ (sK8 @ (setadjoin @ sK20 @ emptyset) @ (dsetconstr @ sK19 @ (= @ sK20))) @ (setadjoin @ sK20 @ emptyset))) != $true) | spl23_12),
% 2.50/0.69 inference(avatar_component_clause,[],[f206])).
% 2.50/0.69 thf(f208,plain,(
% 2.50/0.69 (((in @ (sK8 @ (setadjoin @ sK20 @ emptyset) @ (dsetconstr @ sK19 @ (= @ sK20))) @ (setadjoin @ sK20 @ emptyset))) = $true) | ~spl23_12),
% 2.50/0.69 inference(avatar_component_clause,[],[f206])).
% 2.50/0.69 thf(f222,plain,(
% 2.50/0.69 (((in @ sK20 @ (dsetconstr @ sK19 @ (= @ sK20)))) = $true) | (~spl23_1 | ~spl23_3)),
% 2.50/0.69 inference(unit_resulting_resolution,[],[f128,f144,f154])).
% 2.50/0.69 thf(f233,definition,(
% 2.50/0.69 spl23_14 <=> (((in @ sK20 @ (dsetconstr @ sK19 @ (= @ sK20)))) = $true)),
% 2.50/0.69 introduced(definition,[new_symbols(definition,[spl23_14])],[avatar_definition])).
% 2.50/0.69 thf(f236,plain,(
% 2.50/0.69 spl23_14 | ~spl23_1 | ~spl23_3),
% 2.50/0.69 inference(avatar_split_clause,[],[f222,f152,f142,f233])).
% 2.50/0.69 thf(f312,plain,(
% 2.50/0.69 (((sK8 @ (setadjoin @ sK20 @ emptyset) @ (dsetconstr @ sK19 @ (= @ sK20)))) = sK20) | ($true != $true) | ~spl23_12),
% 2.50/0.69 inference(superposition,[],[f129,f208])).
% 2.50/0.69 thf(f314,plain,(
% 2.50/0.69 (((sK8 @ (setadjoin @ sK20 @ emptyset) @ (dsetconstr @ sK19 @ (= @ sK20)))) = sK20) | ~spl23_12),
% 2.50/0.69 inference(trivial_inequality_removal,[],[f312])).
% 2.50/0.69 thf(f322,definition,(
% 2.50/0.69 spl23_23 <=> (((sK8 @ (setadjoin @ sK20 @ emptyset) @ (dsetconstr @ sK19 @ (= @ sK20)))) = sK20)),
% 2.50/0.69 introduced(definition,[new_symbols(definition,[spl23_23])],[avatar_definition])).
% 2.50/0.69 thf(f325,plain,(
% 2.50/0.69 spl23_23 | ~spl23_12),
% 2.50/0.69 inference(avatar_split_clause,[],[f314,f206,f322])).
% 2.50/0.69 thf(f413,plain,(
% 2.50/0.69 ($true = ((in @ (sK9 @ (setadjoin @ sK20 @ emptyset) @ (dsetconstr @ sK19 @ (= @ sK20))) @ (dsetconstr @ sK19 @ (= @ sK20))))) | (spl23_2 | spl23_12)),
% 2.50/0.69 inference(unit_resulting_resolution,[],[f130,f149,f207])).
% 2.50/0.69 thf(f416,plain,(
% 2.50/0.69 spl23_8 | spl23_2 | spl23_12),
% 2.50/0.69 inference(avatar_split_clause,[],[f413,f206,f147,f183])).
% 2.50/0.69 thf(f422,plain,(
% 2.50/0.69 ($true != $true) | ($true = ((sK20 = (sK9 @ (setadjoin @ sK20 @ emptyset) @ (dsetconstr @ sK19 @ (= @ sK20)))))) | ~spl23_8),
% 2.50/0.69 inference(superposition,[],[f121,f185])).
% 2.50/0.69 thf(f427,plain,(
% 2.50/0.69 ($true != $true) | (((sK9 @ (setadjoin @ sK20 @ emptyset) @ (dsetconstr @ sK19 @ (= @ sK20)))) = sK20) | ~spl23_8),
% 2.50/0.69 inference(equality_proxy_clausification,[],[f422])).
% 2.50/0.69 thf(f428,plain,(
% 2.50/0.69 (((sK9 @ (setadjoin @ sK20 @ emptyset) @ (dsetconstr @ sK19 @ (= @ sK20)))) = sK20) | ~spl23_8),
% 2.50/0.69 inference(trivial_inequality_removal,[],[f427])).
% 2.50/0.69 thf(f441,definition,(
% 2.50/0.69 spl23_28 <=> (((sK9 @ (setadjoin @ sK20 @ emptyset) @ (dsetconstr @ sK19 @ (= @ sK20)))) = sK20)),
% 2.50/0.69 introduced(definition,[new_symbols(definition,[spl23_28])],[avatar_definition])).
% 2.50/0.69 thf(f443,plain,(
% 2.50/0.69 (((sK9 @ (setadjoin @ sK20 @ emptyset) @ (dsetconstr @ sK19 @ (= @ sK20)))) = sK20) | ~spl23_28),
% 2.50/0.69 inference(avatar_component_clause,[],[f441])).
% 2.50/0.69 thf(f444,plain,(
% 2.50/0.69 spl23_28 | ~spl23_8),
% 2.50/0.69 inference(avatar_split_clause,[],[f428,f183,f441])).
% 2.50/0.69 thf(f446,definition,(
% 2.50/0.69 (((sK8 @ (setadjoin @ sK20 @ emptyset) @ (dsetconstr @ sK19 @ (= @ sK20)))) != sK20) | (((in @ sK20 @ (dsetconstr @ sK19 @ (= @ sK20)))) != $true) | (((in @ (sK8 @ (setadjoin @ sK20 @ emptyset) @ (dsetconstr @ sK19 @ (= @ sK20))) @ (dsetconstr @ sK19 @ (= @ sK20)))) = $true)),
% 2.50/0.69 introduced(theory,[theory_tautology_sat_conflict])).
% 2.50/0.69 thf(f450,plain,(
% 2.50/0.69 (((setadjoin @ sK20 @ emptyset)) = ((dsetconstr @ sK19 @ (= @ sK20)))) | (((in @ sK20 @ (setadjoin @ sK20 @ emptyset))) != $true) | (((in @ (sK8 @ (setadjoin @ sK20 @ emptyset) @ (dsetconstr @ sK19 @ (= @ sK20))) @ (setadjoin @ sK20 @ emptyset))) = $true) | ~spl23_28),
% 2.50/0.69 inference(superposition,[],[f122,f443])).
% 2.50/0.69 thf(f451,plain,(
% 2.50/0.69 (((setadjoin @ sK20 @ emptyset)) = ((dsetconstr @ sK19 @ (= @ sK20)))) | (((in @ sK20 @ (setadjoin @ sK20 @ emptyset))) != $true) | (((in @ (sK8 @ (setadjoin @ sK20 @ emptyset) @ (dsetconstr @ sK19 @ (= @ sK20))) @ (dsetconstr @ sK19 @ (= @ sK20)))) != $true) | ~spl23_28),
% 2.50/0.69 inference(superposition,[],[f119,f443])).
% 2.50/0.69 thf(f452,plain,(
% 2.50/0.69 (((in @ sK20 @ (setadjoin @ sK20 @ emptyset))) != $true) | (((in @ (sK8 @ (setadjoin @ sK20 @ emptyset) @ (dsetconstr @ sK19 @ (= @ sK20))) @ (setadjoin @ sK20 @ emptyset))) = $true) | (spl23_2 | ~spl23_28)),
% 2.50/0.69 inference(forward_subsumption_resolution,[],[f450,f149])).
% 2.50/0.69 thf(f455,plain,(
% 2.50/0.69 (((in @ sK20 @ (setadjoin @ sK20 @ emptyset))) != $true) | (((in @ (sK8 @ (setadjoin @ sK20 @ emptyset) @ (dsetconstr @ sK19 @ (= @ sK20))) @ (dsetconstr @ sK19 @ (= @ sK20)))) != $true) | (spl23_2 | ~spl23_28)),
% 2.50/0.69 inference(forward_subsumption_resolution,[],[f451,f149])).
% 2.50/0.69 thf(f456,plain,(
% 2.50/0.69 (((in @ (sK8 @ (setadjoin @ sK20 @ emptyset) @ (dsetconstr @ sK19 @ (= @ sK20))) @ (setadjoin @ sK20 @ emptyset))) = $true) | (spl23_2 | ~spl23_28)),
% 2.50/0.69 inference(forward_subsumption_resolution,[],[f452,f133])).
% 2.50/0.69 thf(f457,plain,(
% 2.50/0.69 (((in @ (sK8 @ (setadjoin @ sK20 @ emptyset) @ (dsetconstr @ sK19 @ (= @ sK20))) @ (dsetconstr @ sK19 @ (= @ sK20)))) != $true) | (spl23_2 | ~spl23_28)),
% 2.50/0.69 inference(forward_subsumption_resolution,[],[f455,f133])).
% 2.50/0.69 thf(f458,plain,(
% 2.50/0.69 $false | (spl23_2 | spl23_12 | ~spl23_28)),
% 2.50/0.69 inference(forward_subsumption_resolution,[],[f456,f207])).
% 2.50/0.69 thf(f459,plain,(
% 2.50/0.69 spl23_2 | spl23_12 | ~spl23_28),
% 2.50/0.69 inference(avatar_contradiction_clause,[],[f458])).
% 2.50/0.69 thf(f460,plain,(
% 2.50/0.69 ~spl23_9 | spl23_2 | ~spl23_28),
% 2.50/0.69 inference(avatar_split_clause,[],[f457,f441,f147,f187])).
% 2.50/0.69 cnf(s1, plain, spl23_1, inference(sat_conversion,[],[f145])).
% 2.50/0.69 cnf(s2, plain, ~spl23_2, inference(sat_conversion,[],[f150])).
% 2.50/0.69 cnf(s3, plain, spl23_3, inference(sat_conversion,[],[f155])).
% 2.50/0.69 cnf(s9, plain, spl23_2 | spl23_8 | ~spl23_9, inference(sat_conversion,[],[f190])).
% 2.50/0.69 cnf(s16, plain, ~spl23_1 | ~spl23_3 | spl23_14, inference(sat_conversion,[],[f236])).
% 2.50/0.69 cnf(s31, plain, ~spl23_12 | spl23_23, inference(sat_conversion,[],[f325])).
% 2.50/0.69 cnf(s38, plain, spl23_2 | spl23_8 | spl23_12, inference(sat_conversion,[],[f416])).
% 2.50/0.69 cnf(s42, plain, ~spl23_8 | spl23_28, inference(sat_conversion,[],[f444])).
% 2.50/0.69 cnf(s45, plain, spl23_9 | ~spl23_14 | ~spl23_23, inference(sat_conversion,[],[f446])).
% 2.50/0.69 cnf(s47, plain, spl23_2 | spl23_12 | ~spl23_28, inference(sat_conversion,[],[f459])).
% 2.50/0.69 cnf(s48, plain, spl23_2 | ~spl23_9 | ~spl23_28, inference(sat_conversion,[],[f460])).
% 2.50/0.69 cnf(s52, plain, spl23_14, inference(rat,[],[s16,s3,s1])).
% 2.50/0.69 cnf(s57, plain, spl23_8, inference(rat,[],[s45,s31,s9,s38,s52,s2])).
% 2.50/0.69 cnf(s58, plain, spl23_28, inference(rat,[],[s42,s57])).
% 2.50/0.69 cnf(s61, plain, ~spl23_9, inference(rat,[],[s48,s2,s58])).
% 2.50/0.69 cnf(s62, plain, spl23_12, inference(rat,[],[s47,s2,s58])).
% 2.50/0.69 cnf(s63, plain, ~spl23_23, inference(rat,[],[s45,s52,s61])).
% 2.50/0.69 cnf(s65, plain, $false, inference(rat,[],[s31,s63,s62])).
% 2.50/0.69 thf(f461,plain,(
% 2.50/0.69 $false),
% 2.50/0.69 inference(avatar_sat_refutation,[],[s65])).
% 2.50/0.69 % SZS output end Proof for theBenchmark
% 2.50/0.69 % (2179607)------------------------------
% 2.50/0.69 % (2179607)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.50/0.69 % (2179607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/0.69 % (2179607)CaDiCaL version: 2.1.3
% 2.50/0.69 % (2179607)Termination reason: Refutation
% 2.50/0.69 % (2179607)Time elapsed: 0.026 s
% 2.50/0.69 % (2179607)Peak memory usage: 13 MB
% 2.50/0.69 % (2179607)Instructions burned: 44 (million)
% 2.50/0.69 % (2179517)Success in time 0.434 s
% 2.50/0.69 % Vampire exiting
%------------------------------------------------------------------------------