%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP138^2 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:08:30 AM UTC 2026
% Result : Theorem 1.87s 0.71s
% Output : Refutation 1.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ITP138^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/0.28 % Computer : n015.cluster.edu
% 0.23/0.28 % Model : x86_64 x86_64
% 0.23/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.23/0.28 % Memory : 8046.5625MB
% 0.23/0.28 % OS : Linux 6.8.0-71-generic
% 0.23/0.28 % CPULimit : 300
% 0.23/0.28 % WCLimit : 300
% 0.23/0.28 % DateTime : Tue Sep 29 20:02:34 UTC 2026
% 0.23/0.28 % CPUTime :
% 0.23/0.28 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/0.32 Running higher-order theorem proving
% 0.32/0.42 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
% 1.21/0.62 % (4041608)Detected a higher-order problem, will run a greedy HOL sequence.
% 1.21/0.62 % (4041614)lrs+10_16_si=on:nwc=1.5:random_seed=2860979399:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 1.21/0.62 % (4041619)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 1.21/0.62 % (4041619)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
% 1.21/0.62 % (4041614)Instruction limit reached!
% 1.21/0.62 % (4041614)------------------------------
% 1.21/0.62 % (4041614)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.62 % (4041614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.62 % (4041614)CaDiCaL version: 2.1.3
% 1.21/0.62 % (4041614)Termination reason: Instruction limit
% 1.21/0.62 % (4041614)Termination phase: shuffling
% 1.21/0.62 % (4041614)Time elapsed: 0.010 s
% 1.21/0.62 % (4041614)Peak memory usage: 10 MB
% 1.21/0.62 % (4041614)Instructions burned: 20 (million)
% 1.21/0.62 % (4041615)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=121749530:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 1.21/0.62 % (4041617)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=23876093:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 1.21/0.62 % (4041616)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=412926426: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)
% 1.21/0.62 % (4041618)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=316574866:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 1.21/0.62 % (4041613)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=226245164:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 1.21/0.62 % (4041619)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=601713965:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 1.21/0.62 % (4041615)Instruction limit reached!
% 1.21/0.62 % (4041615)------------------------------
% 1.21/0.62 % (4041615)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.62 % (4041615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.62 % (4041615)CaDiCaL version: 2.1.3
% 1.21/0.62 % (4041615)Termination reason: Instruction limit
% 1.21/0.62 % (4041615)Termination phase: shuffling
% 1.21/0.62 % (4041615)Time elapsed: 0.004 s
% 1.21/0.62 % (4041615)Peak memory usage: 10 MB
% 1.21/0.62 % (4041615)Instructions burned: 4 (million)
% 1.21/0.62 % (4041621)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=286986055:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.21/0.62 % (4041621)Instruction limit reached!
% 1.21/0.62 % (4041621)------------------------------
% 1.21/0.62 % (4041621)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.62 % (4041621)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.62 % (4041621)CaDiCaL version: 2.1.3
% 1.21/0.62 % (4041621)Termination reason: Instruction limit
% 1.21/0.62 % (4041621)Termination phase: shuffling
% 1.21/0.62 % (4041621)Time elapsed: 0.001 s
% 1.21/0.62 % (4041621)Peak memory usage: 10 MB
% 1.21/0.62 % (4041621)Instructions burned: 2 (million)
% 1.21/0.62 % (4041617)Instruction limit reached!
% 1.21/0.62 % (4041617)------------------------------
% 1.21/0.62 % (4041617)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.62 % (4041617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.62 % (4041617)CaDiCaL version: 2.1.3
% 1.21/0.62 % (4041617)Termination reason: Instruction limit
% 1.21/0.62 % (4041617)Termination phase: Property scanning
% 1.21/0.62 % (4041617)Time elapsed: 0.021 s
% 1.21/0.62 % (4041617)Peak memory usage: 10 MB
% 1.21/0.62 % (4041617)Instructions burned: 24 (million)
% 1.21/0.62 % (4041628)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=778953712:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.52/0.68 % (4041630)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.52/0.68 % (4041628)Instruction limit reached!
% 1.52/0.68 % (4041628)------------------------------
% 1.52/0.68 % (4041628)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.52/0.68 % (4041628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.52/0.68 % (4041628)CaDiCaL version: 2.1.3
% 1.52/0.68 % (4041628)Termination reason: Instruction limit
% 1.52/0.68 % (4041628)Termination phase: shuffling
% 1.52/0.68 % (4041628)Time elapsed: 0.006 s
% 1.52/0.68 % (4041628)Peak memory usage: 10 MB
% 1.52/0.68 % (4041628)Instructions burned: 5 (million)
% 1.52/0.68 % (4041630)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2438918030:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.52/0.68 % (4041630)Instruction limit reached!
% 1.52/0.68 % (4041630)------------------------------
% 1.52/0.68 % (4041630)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.52/0.68 % (4041630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.52/0.68 % (4041630)CaDiCaL version: 2.1.3
% 1.52/0.68 % (4041630)Termination reason: Instruction limit
% 1.52/0.68 % (4041630)Termination phase: shuffling
% 1.52/0.68 % (4041630)Time elapsed: 0.004 s
% 1.52/0.68 % (4041630)Peak memory usage: 10 MB
% 1.52/0.68 % (4041630)Instructions burned: 9 (million)
% 1.52/0.68 % (4041631)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2506675881:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.52/0.68 % (4041631)Instruction limit reached!
% 1.52/0.68 % (4041631)------------------------------
% 1.52/0.68 % (4041631)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.52/0.68 % (4041631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.52/0.68 % (4041631)CaDiCaL version: 2.1.3
% 1.52/0.68 % (4041631)Termination reason: Instruction limit
% 1.52/0.68 % (4041631)Termination phase: shuffling
% 1.52/0.68 % (4041631)Time elapsed: 0.013 s
% 1.52/0.68 % (4041631)Peak memory usage: 10 MB
% 1.52/0.68 % (4041631)Instructions burned: 13 (million)
% 1.52/0.68 % (4041635)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=3515891940:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.52/0.68 % (4041634)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
% 1.52/0.68 % (4041634)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.52/0.68 % (4041618)Instruction limit reached!
% 1.52/0.68 % (4041618)------------------------------
% 1.52/0.68 % (4041618)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.52/0.68 % (4041618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.52/0.68 % (4041618)CaDiCaL version: 2.1.3
% 1.52/0.68 % (4041618)Termination reason: Instruction limit
% 1.52/0.68 % (4041618)Termination phase: Property scanning
% 1.52/0.68 % (4041618)Time elapsed: 0.066 s
% 1.52/0.68 % (4041618)Peak memory usage: 12 MB
% 1.52/0.68 % (4041618)Instructions burned: 75 (million)
% 1.52/0.68 % (4041634)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=837710583:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.52/0.68 % (4041613)Instruction limit reached!
% 1.52/0.68 % (4041613)------------------------------
% 1.52/0.68 % (4041613)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.52/0.68 % (4041613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.52/0.68 % (4041613)CaDiCaL version: 2.1.3
% 1.52/0.68 % (4041613)Termination reason: Instruction limit
% 1.52/0.68 % (4041613)Termination phase: Property scanning
% 1.52/0.68 % (4041613)Time elapsed: 0.075 s
% 1.52/0.68 % (4041613)Peak memory usage: 12 MB
% 1.52/0.68 % (4041613)Instructions burned: 88 (million)
% 1.52/0.68 % (4041634)Instruction limit reached!
% 1.52/0.68 % (4041634)------------------------------
% 1.52/0.68 % (4041634)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.71 % (4041634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.71 % (4041634)CaDiCaL version: 2.1.3
% 1.87/0.71 % (4041634)Termination reason: Instruction limit
% 1.87/0.71 % (4041634)Termination phase: shuffling
% 1.87/0.71 % (4041634)Time elapsed: 0.024 s
% 1.87/0.71 % (4041634)Peak memory usage: 10 MB
% 1.87/0.71 % (4041634)Instructions burned: 28 (million)
% 1.87/0.71 % (4041637)lrs+10_1_si=on:cs=on:random_seed=1570200403:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.87/0.71 % (4041640)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.87/0.71 % (4041640)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=1707106889:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.87/0.71 % (4041637)Instruction limit reached!
% 1.87/0.71 % (4041637)------------------------------
% 1.87/0.71 % (4041637)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.71 % (4041635)Instruction limit reached!
% 1.87/0.71 % (4041635)------------------------------
% 1.87/0.71 % (4041635)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.71 % (4041635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.71 % (4041637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.71 % (4041637)CaDiCaL version: 2.1.3
% 1.87/0.71 % (4041635)CaDiCaL version: 2.1.3
% 1.87/0.71 % (4041635)Termination reason: Instruction limit
% 1.87/0.71 % (4041635)Termination phase: Unused predicate definition removal
% 1.87/0.71 % (4041637)Termination reason: Instruction limit
% 1.87/0.71 % (4041637)Termination phase: shuffling
% 1.87/0.71 % (4041635)Time elapsed: 0.039 s
% 1.87/0.71 % (4041637)Time elapsed: 0.008 s
% 1.87/0.71 % (4041635)Peak memory usage: 11 MB
% 1.87/0.71 % (4041637)Peak memory usage: 10 MB
% 1.87/0.71 % (4041637)Instructions burned: 8 (million)
% 1.87/0.71 % (4041635)Instructions burned: 87 (million)
% 1.87/0.71 % (4041640)Instruction limit reached!
% 1.87/0.71 % (4041640)------------------------------
% 1.87/0.71 % (4041640)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.71 % (4041640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.71 % (4041640)CaDiCaL version: 2.1.3
% 1.87/0.71 % (4041640)Termination reason: Instruction limit
% 1.87/0.71 % (4041640)Termination phase: shuffling
% 1.87/0.71 % (4041640)Time elapsed: 0.002 s
% 1.87/0.71 % (4041640)Peak memory usage: 10 MB
% 1.87/0.71 % (4041640)Instructions burned: 2 (million)
% 1.87/0.71 % (4041641)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2726394530:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.87/0.71 % (4041646)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=4122109493:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.87/0.71 % (4041643)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3794056977:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.87/0.71 % (4041647)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=902607800:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.87/0.71 % (4041646)Instruction limit reached!
% 1.87/0.71 % (4041646)------------------------------
% 1.87/0.71 % (4041646)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.71 % (4041646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.71 % (4041646)CaDiCaL version: 2.1.3
% 1.87/0.71 % (4041646)Termination reason: Instruction limit
% 1.87/0.71 % (4041646)Termination phase: shuffling
% 1.87/0.71 % (4041646)Time elapsed: 0.007 s
% 1.87/0.71 % (4041646)Peak memory usage: 10 MB
% 1.87/0.71 % (4041646)Instructions burned: 16 (million)
% 1.87/0.71 % (4041645)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3585919659:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.87/0.71 % (4041619)Instruction limit reached!
% 1.87/0.71 % (4041619)------------------------------
% 1.87/0.71 % (4041619)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.71 % (4041619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.71 % (4041619)CaDiCaL version: 2.1.3
% 1.87/0.71 % (4041619)Termination reason: Instruction limit
% 1.87/0.71 % (4041619)Termination phase: Saturation
% 1.87/0.71 % (4041619)Time elapsed: 0.139 s
% 1.87/0.71 % (4041619)Peak memory usage: 14 MB
% 1.87/0.71 % (4041619)Instructions burned: 158 (million)
% 1.87/0.71 % (4041641)Instruction limit reached!
% 1.87/0.71 % (4041641)------------------------------
% 1.87/0.71 % (4041641)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.71 % (4041641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.71 % (4041641)CaDiCaL version: 2.1.3
% 1.87/0.71 % (4041641)Termination reason: Instruction limit
% 1.87/0.71 % (4041641)Termination phase: SInE selection
% 1.87/0.71 % (4041641)Time elapsed: 0.033 s
% 1.87/0.71 % (4041641)Peak memory usage: 11 MB
% 1.87/0.71 % (4041641)Instructions burned: 38 (million)
% 1.87/0.71 % (4041645)Instruction limit reached!
% 1.87/0.71 % (4041645)------------------------------
% 1.87/0.71 % (4041645)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.71 % (4041645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.71 % (4041645)CaDiCaL version: 2.1.3
% 1.87/0.71 % (4041645)Termination reason: Instruction limit
% 1.87/0.71 % (4041645)Termination phase: Property scanning
% 1.87/0.71 % (4041645)Time elapsed: 0.023 s
% 1.87/0.71 % (4041645)Peak memory usage: 10 MB
% 1.87/0.71 % (4041645)Instructions burned: 25 (million)
% 1.87/0.71 % (4041654)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=4226734617: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)
% 1.87/0.71 % (4041652)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3107872668:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.87/0.71 % (4041654)Instruction limit reached!
% 1.87/0.71 % (4041654)------------------------------
% 1.87/0.71 % (4041654)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.71 % (4041654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.71 % (4041654)CaDiCaL version: 2.1.3
% 1.87/0.71 % (4041654)Termination reason: Instruction limit
% 1.87/0.71 % (4041654)Termination phase: shuffling
% 1.87/0.71 % (4041654)Time elapsed: 0.002 s
% 1.87/0.71 % (4041654)Peak memory usage: 10 MB
% 1.87/0.71 % (4041654)Instructions burned: 3 (million)
% 1.87/0.71 % (4041652)Instruction limit reached!
% 1.87/0.71 % (4041652)------------------------------
% 1.87/0.71 % (4041652)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.71 % (4041652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.71 % (4041652)CaDiCaL version: 2.1.3
% 1.87/0.71 % (4041652)Termination reason: Instruction limit
% 1.87/0.71 % (4041652)Termination phase: shuffling
% 1.87/0.71 % (4041652)Time elapsed: 0.013 s
% 1.87/0.71 % (4041652)Peak memory usage: 10 MB
% 1.87/0.71 % (4041652)Instructions burned: 14 (million)
% 1.87/0.71 % (4041655)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3119193253:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.87/0.71 % (4041659)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=177695720:cond=on:i=60:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/60Mi)
% 1.87/0.71 % (4041656)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=2935520797:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 1.87/0.71 % (4041660)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.87/0.71 % (4041660)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.87/0.71 % (4041655)Instruction limit reached!
% 1.87/0.71 % (4041655)------------------------------
% 1.87/0.71 % (4041655)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.71 % (4041655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.71 % (4041655)CaDiCaL version: 2.1.3
% 1.87/0.71 % (4041655)Termination reason: Instruction limit
% 1.87/0.71 % (4041655)Termination phase: shuffling
% 1.87/0.71 % (4041655)Time elapsed: 0.023 s
% 1.87/0.71 % (4041655)Peak memory usage: 11 MB
% 1.87/0.71 % (4041655)Instructions burned: 26 (million)
% 1.87/0.71 % (4041660)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=1286351771:i=14:add=off:nm=40:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 1.87/0.71 % (4041656)Instruction limit reached!
% 1.87/0.71 % (4041656)------------------------------
% 1.87/0.71 % (4041656)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.71 % (4041656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.71 % (4041656)CaDiCaL version: 2.1.3
% 1.87/0.71 % (4041656)Termination reason: Instruction limit
% 1.87/0.71 % (4041656)Termination phase: Property scanning
% 1.87/0.71 % (4041656)Time elapsed: 0.021 s
% 1.87/0.71 % (4041656)Peak memory usage: 10 MB
% 1.87/0.71 % (4041656)Instructions burned: 23 (million)
% 1.87/0.71 % (4041659)Instruction limit reached!
% 1.87/0.71 % (4041659)------------------------------
% 1.87/0.71 % (4041659)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.71 % (4041659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.71 % (4041659)CaDiCaL version: 2.1.3
% 1.87/0.71 % (4041659)Termination reason: Instruction limit
% 1.87/0.71 % (4041659)Termination phase: Clausification
% 1.87/0.71 % (4041659)Time elapsed: 0.034 s
% 1.87/0.71 % (4041659)Peak memory usage: 12 MB
% 1.87/0.71 % (4041659)Instructions burned: 61 (million)
% 1.87/0.71 % (4041664)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.87/0.71 % (4041660)Instruction limit reached!
% 1.87/0.71 % (4041660)------------------------------
% 1.87/0.71 % (4041660)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.71 % (4041660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.71 % (4041660)CaDiCaL version: 2.1.3
% 1.87/0.71 % (4041660)Termination reason: Instruction limit
% 1.87/0.71 % (4041660)Termination phase: shuffling
% 1.87/0.71 % (4041660)Time elapsed: 0.013 s
% 1.87/0.71 % (4041660)Peak memory usage: 10 MB
% 1.87/0.71 % (4041660)Instructions burned: 14 (million)
% 1.87/0.71 % (4041643) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4041608-4041643"...
% 1.87/0.71 % (4041664)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=1508072759:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2997 on theBenchmark for (2997ds/8Mi)
% 1.87/0.71 % (4041664)Instruction limit reached!
% 1.87/0.71 % (4041664)------------------------------
% 1.87/0.71 % (4041664)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.71 % (4041664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.71 % (4041664)CaDiCaL version: 2.1.3
% 1.87/0.71 % (4041664)Termination reason: Instruction limit
% 1.87/0.71 % (4041664)Termination phase: shuffling
% 1.87/0.71 % (4041664)Time elapsed: 0.004 s
% 1.87/0.71 % (4041664)Peak memory usage: 10 MB
% 1.87/0.71 % (4041664)Instructions burned: 8 (million)
% 1.87/0.71 % (4041643)...printing done.
% 1.87/0.71 % (4041643)Refutation found. Thanks to Tanya!
% 1.87/0.71 % SZS status Theorem for theBenchmark
% 1.87/0.71 % SZS output start Proof for theBenchmark
% 1.87/0.71 thf(type_def_5, type, paraco415392788lle_tv: $tType).
% 1.87/0.71 thf(type_def_6, type, paraco414474393lle_fm: $tType).
% 1.87/0.71 thf(type_def_7, type, product_prod: ($tType * $tType) > $tType).
% 1.87/0.71 thf(type_def_8, type, char: $tType).
% 1.87/0.71 thf(type_def_9, type, list: $tType > $tType).
% 1.87/0.71 thf(type_def_10, type, set: $tType > $tType).
% 1.87/0.71 thf(type_def_11, type, nat: $tType).
% 1.87/0.71 thf(type_def_12, type, sTfun: ($tType * $tType) > $tType).
% 1.87/0.71 thf(func_def_0, type, type: !>[X0: $tType]:($o)).
% 1.87/0.71 thf(func_def_1, type, ord: !>[X0: $tType]:($o)).
% 1.87/0.71 thf(func_def_2, type, top: !>[X0: $tType]:($o)).
% 1.87/0.71 thf(func_def_3, type, order: !>[X0: $tType]:($o)).
% 1.87/0.71 thf(func_def_4, type, no_bot: !>[X0: $tType]:($o)).
% 1.87/0.71 thf(func_def_5, type, linorder: !>[X0: $tType]:($o)).
% 1.87/0.71 thf(func_def_6, type, preorder: !>[X0: $tType]:($o)).
% 1.87/0.71 thf(func_def_7, type, finite_lattice: !>[X0: $tType]:($o)).
% 1.87/0.71 thf(func_def_8, type, order_top: !>[X0: $tType]:($o)).
% 1.87/0.71 thf(func_def_9, type, complete_Sup: !>[X0: $tType]:($o)).
% 1.87/0.71 thf(func_def_10, type, comple187826305attice: !>[X0: $tType]:($o)).
% 1.87/0.71 thf(func_def_11, type, comple1035589618norder: !>[X0: $tType]:($o)).
% 1.87/0.71 thf(func_def_12, type, condit378418413attice: !>[X0: $tType]:($o)).
% 1.87/0.71 thf(func_def_13, type, condit1037483654norder: !>[X0: $tType]:($o)).
% 1.87/0.71 thf(func_def_14, type, complete_Sup_Sup: !>[X0: $tType]:((set @ X0 > X0))).
% 1.87/0.71 thf(func_def_15, type, finite_Fpow: !>[X0: $tType]:((set @ X0 > set @ set @ X0))).
% 1.87/0.71 thf(func_def_16, type, swap: !>[X0: $tType, X1: $tType]:((X0 > X0 > (X0 > X1) > X0 > X1))).
% 1.87/0.71 thf(func_def_17, type, ord_less: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.87/0.71 thf(func_def_18, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.87/0.71 thf(func_def_19, type, order_Greatest: !>[X0: $tType]:(((X0 > $o) > X0))).
% 1.87/0.71 thf(func_def_20, type, order_strict_mono: !>[X0: $tType, X1: $tType]:(((X0 > X1) > $o))).
% 1.87/0.71 thf(func_def_21, type, top_top: !>[X0: $tType]:(X0)).
% 1.87/0.71 thf(func_def_22, type, paraco506338565domain: (set @ nat > set @ paraco415392788lle_tv)).
% 1.87/0.71 thf(func_def_23, type, paraco876059933e_eval: ((list @ char > paraco415392788lle_tv) > paraco414474393lle_fm > paraco415392788lle_tv)).
% 1.87/0.71 thf(func_def_24, type, paraco2100061555le_Con: (paraco414474393lle_fm > paraco414474393lle_fm > paraco414474393lle_fm)).
% 1.87/0.71 thf(func_def_25, type, paraco2084319816le_Eql: (paraco414474393lle_fm > paraco414474393lle_fm > paraco414474393lle_fm)).
% 1.87/0.71 thf(func_def_26, type, paraco1628874225le_Eql: (paraco414474393lle_fm > paraco414474393lle_fm > paraco414474393lle_fm)).
% 1.87/0.71 thf(func_def_27, type, paraco329115265le_Neg: (paraco414474393lle_fm > paraco414474393lle_fm)).
% 1.87/0.71 thf(func_def_28, type, paraco27778325le_Pro: (list @ char > paraco414474393lle_fm)).
% 1.87/0.71 thf(func_def_29, type, paraco251304083_Truth: paraco414474393lle_fm).
% 1.87/0.71 thf(func_def_30, type, paraco2040174112le_Det: ($o > paraco415392788lle_tv)).
% 1.87/0.71 thf(func_def_31, type, paraco152590079rec_tv: !>[X0: $tType]:((($o > X0) > (nat > X0) > paraco415392788lle_tv > X0))).
% 1.87/0.71 thf(func_def_32, type, paraco769098683_valid: (paraco414474393lle_fm > $o)).
% 1.87/0.71 thf(func_def_33, type, paraco2086025920lid_in: (set @ nat > paraco414474393lle_fm > $o)).
% 1.87/0.71 thf(func_def_34, type, product_Pair: !>[X0: $tType, X1: $tType]:((X0 > X1 > product_prod @ X0 @ X1))).
% 1.87/0.71 thf(func_def_35, type, powp: !>[X0: $tType]:(((X0 > $o) > set @ X0 > $o))).
% 1.87/0.71 thf(func_def_36, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 1.87/0.71 thf(func_def_37, type, pow: !>[X0: $tType]:((set @ X0 > set @ set @ X0))).
% 1.87/0.71 thf(func_def_38, type, image: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > set @ X1))).
% 1.87/0.71 thf(func_def_39, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 1.87/0.71 thf(func_def_40, type, p: paraco414474393lle_fm).
% 1.87/0.71 thf(func_def_44, type, db0: !>[X0: $tType]:(X0)).
% 1.87/0.71 thf(func_def_45, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 1.87/0.71 thf(func_def_46, type, db1: !>[X0: $tType]:(X0)).
% 1.87/0.71 thf(func_def_47, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.87/0.71 thf(func_def_48, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.87/0.71 thf(func_def_49, type, vIMP: ($o > $o > $o)).
% 1.87/0.71 thf(func_def_50, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.87/0.71 thf(func_def_51, type, vAND: ($o > $o > $o)).
% 1.87/0.71 thf(func_def_52, type, db2: !>[X0: $tType]:(X0)).
% 1.87/0.71 thf(func_def_53, type, vNOT: ($o > $o)).
% 1.87/0.71 thf(func_def_54, type, sK0: !>[X0: $tType, X1: $tType]:((X1 > set @ X0 > (X0 > X1) > X0))).
% 1.87/0.71 thf(func_def_55, type, sK1: !>[X0: $tType]:((set @ X0 > set @ set @ X0 > set @ X0))).
% 1.87/0.71 thf(func_def_56, type, sK2: !>[X0: $tType]:(X0)).
% 1.87/0.71 thf(func_def_57, type, sK3: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > set @ X1) > set @ X1 > X0))).
% 1.87/0.71 thf(func_def_58, type, sK4: !>[X0: $tType]:((set @ X0 > X0))).
% 1.87/0.71 thf(func_def_59, type, sK5: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 1.87/0.71 thf(func_def_60, type, sK6: (product_prod @ (list @ char > paraco415392788lle_tv) @ paraco414474393lle_fm > list @ char > paraco415392788lle_tv)).
% 1.87/0.71 thf(func_def_61, type, sK7: (product_prod @ (list @ char > paraco415392788lle_tv) @ paraco414474393lle_fm > paraco414474393lle_fm)).
% 1.87/0.71 thf(func_def_62, type, sK8: (product_prod @ (list @ char > paraco415392788lle_tv) @ paraco414474393lle_fm > paraco414474393lle_fm)).
% 1.87/0.71 thf(func_def_63, type, sK9: (product_prod @ (list @ char > paraco415392788lle_tv) @ paraco414474393lle_fm > list @ char > paraco415392788lle_tv)).
% 1.87/0.71 thf(func_def_64, type, sK10: (product_prod @ (list @ char > paraco415392788lle_tv) @ paraco414474393lle_fm > paraco414474393lle_fm)).
% 1.87/0.71 thf(func_def_65, type, sK11: (product_prod @ (list @ char > paraco415392788lle_tv) @ paraco414474393lle_fm > paraco414474393lle_fm)).
% 1.87/0.71 thf(func_def_66, type, sK12: (product_prod @ (list @ char > paraco415392788lle_tv) @ paraco414474393lle_fm > list @ char > paraco415392788lle_tv)).
% 1.87/0.71 thf(func_def_67, type, sK13: (product_prod @ (list @ char > paraco415392788lle_tv) @ paraco414474393lle_fm > list @ char > paraco415392788lle_tv)).
% 1.87/0.71 thf(func_def_68, type, sK14: (product_prod @ (list @ char > paraco415392788lle_tv) @ paraco414474393lle_fm > paraco414474393lle_fm)).
% 1.87/0.71 thf(func_def_69, type, sK15: (product_prod @ (list @ char > paraco415392788lle_tv) @ paraco414474393lle_fm > list @ char)).
% 1.87/0.71 thf(func_def_70, type, sK16: (product_prod @ (list @ char > paraco415392788lle_tv) @ paraco414474393lle_fm > list @ char > paraco415392788lle_tv)).
% 1.87/0.71 thf(func_def_71, type, sK17: (product_prod @ (list @ char > paraco415392788lle_tv) @ paraco414474393lle_fm > paraco414474393lle_fm)).
% 1.87/0.71 thf(func_def_72, type, sK18: (product_prod @ (list @ char > paraco415392788lle_tv) @ paraco414474393lle_fm > list @ char > paraco415392788lle_tv)).
% 1.87/0.71 thf(func_def_73, type, sK19: (product_prod @ (list @ char > paraco415392788lle_tv) @ paraco414474393lle_fm > paraco414474393lle_fm)).
% 1.87/0.71 thf(func_def_74, type, sK20: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2 > $o) > set @ X0 > X1 > X2 > X0))).
% 1.87/0.71 thf(func_def_75, type, sK21: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > $o) > set @ X1 > X0))).
% 1.87/0.71 thf(func_def_76, type, sK22: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X0 > X1) > X1))).
% 1.87/0.71 thf(func_def_77, type, sK23: !>[X0: $tType, X1: $tType]:(((X1 > $o) > set @ X0 > (X0 > X1) > X1))).
% 1.87/0.71 thf(func_def_78, type, sK24: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0) > X1))).
% 1.87/0.71 thf(func_def_79, type, sK25: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ X1 > (X1 > X0) > set @ X1))).
% 1.87/0.71 thf(func_def_80, type, sK26: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X0 > X1))).
% 1.87/0.71 thf(func_def_81, type, sK27: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 1.87/0.71 thf(func_def_82, type, sK28: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 1.87/0.71 thf(func_def_83, type, sK29: !>[X0: $tType, X1: $tType]:((set @ X0 > (X1 > set @ X0) > set @ X1 > X1))).
% 1.87/0.71 thf(func_def_84, type, sK30: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 1.87/0.71 thf(func_def_85, type, sK31: !>[X0: $tType, X1: $tType]:((X0 > set @ X1 > (X1 > set @ X0) > X1))).
% 1.87/0.71 thf(func_def_86, type, sK32: !>[X0: $tType]:(((X0 > $o) > set @ X0 > (X0 > $o) > X0))).
% 1.87/0.71 thf(func_def_87, type, sK33: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0) > X1))).
% 1.87/0.71 thf(func_def_88, type, sK34: !>[X0: $tType]:((set @ set @ X0 > set @ set @ X0 > set @ X0))).
% 1.87/0.71 thf(func_def_89, type, sK35: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > X1))).
% 1.87/0.71 thf(func_def_90, type, sK36: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > (X1 > X0) > X1))).
% 1.87/0.71 thf(func_def_91, type, sK37: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 1.87/0.71 thf(func_def_92, type, sK38: !>[X0: $tType, X1: $tType]:(((X0 > set @ X1) > set @ X0 > (X0 > set @ X1) > X0))).
% 1.87/0.71 thf(func_def_93, type, sK39: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X1 > set @ X0 > X0))).
% 1.87/0.71 thf(func_def_94, type, sK40: !>[X0: $tType, X1: $tType]:(((X0 > $o) > set @ X1 > (X1 > X0) > X1))).
% 1.87/0.71 thf(func_def_95, type, sK41: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0 > $o) > set @ X1 > X1))).
% 1.87/0.71 thf(func_def_96, type, sK42: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > (X1 > X0) > X1))).
% 1.87/0.71 thf(func_def_97, type, sK43: (list @ char > paraco415392788lle_tv)).
% 1.87/0.71 thf(func_def_98, type, sK44: (list @ char > paraco415392788lle_tv)).
% 1.87/0.71 thf(func_def_100, type, sK46: ((paraco415392788lle_tv > $o) > (list @ char > paraco415392788lle_tv) > paraco415392788lle_tv)).
% 1.87/0.71 thf(f1,axiom,(
% 1.87/0.71 (((paraco506338565domain @ (collect @ nat @ (^[X2 : nat] : ($true))))) = ((collect @ paraco415392788lle_tv @ (^[X3 : paraco415392788lle_tv] : ($true)))))),
% 1.87/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_universal__domain)).
% 1.87/0.71 thf(f55,axiom,(
% 1.87/0.71 ! [X0 : $tType,X3 : set @ X0,X2 : set @ X0,X1 : set @ X0] : ((ord_less_eq @ set @ X0 @ X1 @ X2) => ((ord_less_eq @ set @ X0 @ X2 @ X3) => (ord_less_eq @ set @ X0 @ X1 @ X3)))),
% 1.87/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_54_subset__trans)).
% 1.87/0.71 thf(f57,axiom,(
% 1.87/0.71 ! [X0 : $tType,X1 : set @ X0] : (ord_less_eq @ set @ X0 @ X1 @ X1)),
% 1.87/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_56_subset__refl)).
% 1.87/0.71 thf(f73,axiom,(
% 1.87/0.71 ! [X0 : $tType] : (((collect @ X0 @ (^[X1 : X0] : ($true)))) = top_top @ set @ X0)),
% 1.87/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_72_UNIV__def)).
% 1.87/0.71 thf(f84,axiom,(
% 1.87/0.71 ! [X0 : $tType,X1 : set @ X0] : (ord_less_eq @ set @ X0 @ X1 @ top_top @ set @ X0)),
% 1.87/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_83_subset__UNIV)).
% 1.87/0.71 thf(f289,conjecture,(
% 1.87/0.71 (~ ! [X0 : (list @ char > paraco415392788lle_tv)] : ((ord_less_eq @ set @ paraco415392788lle_tv @ (image @ list @ char @ paraco415392788lle_tv @ X0 @ top_top @ set @ list @ char) @ (paraco506338565domain @ (collect @ nat @ (^[X1 : nat] : ($true))))) => (((paraco2040174112le_Det @ $true)) = ((paraco876059933e_eval @ X0 @ p)))) != ! [X0 : (list @ char > paraco415392788lle_tv)] : (((paraco2040174112le_Det @ $true)) = ((paraco876059933e_eval @ X0 @ p))))),
% 1.87/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 1.87/0.71 thf(f290,negated_conjecture,(
% 1.87/0.71 ~ (~ ! [X0 : (list @ char > paraco415392788lle_tv)] : ((ord_less_eq @ set @ paraco415392788lle_tv @ (image @ list @ char @ paraco415392788lle_tv @ X0 @ top_top @ set @ list @ char) @ (paraco506338565domain @ (collect @ nat @ (^[X1 : nat] : ($true))))) => (((paraco2040174112le_Det @ $true)) = ((paraco876059933e_eval @ X0 @ p)))) != ! [X0 : (list @ char > paraco415392788lle_tv)] : (((paraco2040174112le_Det @ $true)) = ((paraco876059933e_eval @ X0 @ p))))),
% 1.87/0.71 inference(negated_conjecture,[status(cth)],[f289])).
% 1.87/0.71 thf(f382,plain,(
% 1.87/0.71 (((paraco506338565domain @ (collect @ nat @ (^[X0 : nat] : ($true))))) = ((collect @ paraco415392788lle_tv @ (^[X1 : paraco415392788lle_tv] : ($true)))))),
% 1.87/0.71 inference(rectify,[],[f1])).
% 1.87/0.71 thf(f383,plain,(
% 1.87/0.71 (((paraco506338565domain @ (collect @ nat @ (^[Y0 : nat]: ($true))))) = ((collect @ paraco415392788lle_tv @ (^[Y0 : paraco415392788lle_tv]: ($true)))))),
% 1.87/0.71 inference(fool_elimination,[],[f382])).
% 1.87/0.71 thf(f400,plain,(
% 1.87/0.71 ! [X0 : $tType] : (((collect @ X0 @ (^[X1 : X0] : ($true)))) = top_top @ set @ X0)),
% 1.87/0.71 inference(rectify,[],[f73])).
% 1.87/0.71 thf(f401,plain,(
% 1.87/0.71 ! [X0 : $tType] : (top_top @ set @ X0 = ((collect @ X0 @ (^[Y0 : X0]: ($true)))))),
% 1.87/0.71 inference(fool_elimination,[],[f400])).
% 1.87/0.71 thf(f410,plain,(
% 1.87/0.71 ~ (~ ! [X0 : (list @ char > paraco415392788lle_tv)] : ((ord_less_eq @ set @ paraco415392788lle_tv @ (image @ list @ char @ paraco415392788lle_tv @ X0 @ top_top @ set @ list @ char) @ (paraco506338565domain @ (collect @ nat @ (^[X1 : nat] : ($true))))) => (((paraco2040174112le_Det @ $true)) = ((paraco876059933e_eval @ X0 @ p)))) != ! [X2 : (list @ char > paraco415392788lle_tv)] : (((paraco2040174112le_Det @ $true)) = ((paraco876059933e_eval @ X2 @ p))))),
% 1.87/0.71 inference(rectify,[],[f290])).
% 1.87/0.71 thf(f411,plain,(
% 1.87/0.71 ~ (((!! @ (list @ char > paraco415392788lle_tv) @ (^[Y0 : list @ char > paraco415392788lle_tv]: ((paraco2040174112le_Det @ $true) = (paraco876059933e_eval @ Y0 @ p))))) != ((~ (!! @ (list @ char > paraco415392788lle_tv) @ (^[Y0 : list @ char > paraco415392788lle_tv]: ((ord_less_eq @ set @ paraco415392788lle_tv @ (image @ list @ char @ paraco415392788lle_tv @ Y0 @ top_top @ set @ list @ char) @ (paraco506338565domain @ (collect @ nat @ (^[Y1 : nat]: ($true))))) => ((paraco2040174112le_Det @ $true) = (paraco876059933e_eval @ Y0 @ p))))))))),
% 1.87/0.71 inference(fool_elimination,[],[f410])).
% 1.87/0.71 thf(f496,plain,(
% 1.87/0.71 ! [X0 : $tType,X1 : set @ X0] : (ord_less_eq @ set @ X0 @ X1 @ X1)),
% 1.87/0.71 inference(rectify,[],[f57])).
% 1.87/0.71 thf(f497,plain,(
% 1.87/0.71 ! [X0 : $tType,X1 : set @ X0] : (((ord_less_eq @ set @ X0 @ X1 @ X1)) = $true)),
% 1.87/0.71 inference(fool_elimination,[],[f496])).
% 1.87/0.71 thf(f621,plain,(
% 1.87/0.71 ! [X0 : $tType,X1 : set @ X0] : (ord_less_eq @ set @ X0 @ X1 @ top_top @ set @ X0)),
% 1.87/0.71 inference(rectify,[],[f84])).
% 1.87/0.71 thf(f622,plain,(
% 1.87/0.71 ! [X0 : $tType,X1 : set @ X0] : (((ord_less_eq @ set @ X0 @ X1 @ top_top @ set @ X0)) = $true)),
% 1.87/0.71 inference(fool_elimination,[],[f621])).
% 1.87/0.71 thf(f774,plain,(
% 1.87/0.71 ! [X0 : $tType,X1 : set @ X0,X2 : set @ X0,X3 : set @ X0] : ((ord_less_eq @ set @ X0 @ X3 @ X2) => ((ord_less_eq @ set @ X0 @ X2 @ X1) => (ord_less_eq @ set @ X0 @ X3 @ X1)))),
% 1.87/0.71 inference(rectify,[],[f55])).
% 1.87/0.71 thf(f775,plain,(
% 1.87/0.71 ! [X0 : $tType,X1 : set @ X0,X2 : set @ X0,X3 : set @ X0] : ((((ord_less_eq @ set @ X0 @ X3 @ X2)) = $true) => ((((ord_less_eq @ set @ X0 @ X2 @ X1)) = $true) => (((ord_less_eq @ set @ X0 @ X3 @ X1)) = $true)))),
% 1.87/0.71 inference(fool_elimination,[],[f774])).
% 1.87/0.71 thf(f783,plain,(
% 1.87/0.71 (((!! @ (list @ char > paraco415392788lle_tv) @ (^[Y0 : list @ char > paraco415392788lle_tv]: ((paraco2040174112le_Det @ $true) = (paraco876059933e_eval @ Y0 @ p))))) = ((~ (!! @ (list @ char > paraco415392788lle_tv) @ (^[Y0 : list @ char > paraco415392788lle_tv]: ((ord_less_eq @ set @ paraco415392788lle_tv @ (image @ list @ char @ paraco415392788lle_tv @ Y0 @ top_top @ set @ list @ char) @ (paraco506338565domain @ (collect @ nat @ (^[Y1 : nat]: ($true))))) => ((paraco2040174112le_Det @ $true) = (paraco876059933e_eval @ Y0 @ p))))))))),
% 1.87/0.71 inference(flattening,[],[f411])).
% 1.87/0.71 thf(f866,plain,(
% 1.87/0.71 ! [X0 : $tType,X1 : set @ X0,X2 : set @ X0,X3 : set @ X0] : (((((ord_less_eq @ set @ X0 @ X3 @ X1)) = $true) | (((ord_less_eq @ set @ X0 @ X2 @ X1)) != $true)) | (((ord_less_eq @ set @ X0 @ X3 @ X2)) != $true))),
% 1.87/0.71 inference(ennf_transformation,[],[f775])).
% 1.87/0.71 thf(f867,plain,(
% 1.87/0.71 ! [X0 : $tType,X1 : set @ X0,X2 : set @ X0,X3 : set @ X0] : ((((ord_less_eq @ set @ X0 @ X2 @ X1)) != $true) | (((ord_less_eq @ set @ X0 @ X3 @ X2)) != $true) | (((ord_less_eq @ set @ X0 @ X3 @ X1)) = $true))),
% 1.87/0.71 inference(flattening,[],[f866])).
% 1.87/0.71 thf(f1050,plain,(
% 1.87/0.71 ( ! [X0 : $tType] : ((top_top @ set @ X0 = ((collect @ X0 @ (^[Y0 : X0]: ($true)))))) )),
% 1.87/0.71 inference(cnf_transformation,[],[f401])).
% 1.87/0.71 thf(f1058,plain,(
% 1.87/0.71 (((!! @ (list @ char > paraco415392788lle_tv) @ (^[Y0 : list @ char > paraco415392788lle_tv]: ((paraco2040174112le_Det @ $true) = (paraco876059933e_eval @ Y0 @ p))))) = ((~ (!! @ (list @ char > paraco415392788lle_tv) @ (^[Y0 : list @ char > paraco415392788lle_tv]: ((ord_less_eq @ set @ paraco415392788lle_tv @ (image @ list @ char @ paraco415392788lle_tv @ Y0 @ top_top @ set @ list @ char) @ (paraco506338565domain @ (collect @ nat @ (^[Y1 : nat]: ($true))))) => ((paraco2040174112le_Det @ $true) = (paraco876059933e_eval @ Y0 @ p))))))))),
% 1.87/0.71 inference(cnf_transformation,[],[f783])).
% 1.87/0.71 thf(f1084,plain,(
% 1.87/0.71 ( ! [X0 : $tType,X1 : set @ X0] : ((((ord_less_eq @ set @ X0 @ X1 @ X1)) = $true)) )),
% 1.87/0.71 inference(cnf_transformation,[],[f497])).
% 1.87/0.71 thf(f1086,plain,(
% 1.87/0.71 (((paraco506338565domain @ (collect @ nat @ (^[Y0 : nat]: ($true))))) = ((collect @ paraco415392788lle_tv @ (^[Y0 : paraco415392788lle_tv]: ($true)))))),
% 1.87/0.71 inference(cnf_transformation,[],[f383])).
% 1.87/0.71 thf(f1087,plain,(
% 1.87/0.71 ( ! [X0 : $tType,X1 : set @ X0] : ((((ord_less_eq @ set @ X0 @ X1 @ top_top @ set @ X0)) = $true)) )),
% 1.87/0.71 inference(cnf_transformation,[],[f622])).
% 1.87/0.71 thf(f1091,plain,(
% 1.87/0.71 ( ! [X0 : $tType,X2 : set @ X0,X3 : set @ X0,X1 : set @ X0] : ((((ord_less_eq @ set @ X0 @ X3 @ X1)) = $true) | (((ord_less_eq @ set @ X0 @ X2 @ X1)) != $true) | (((ord_less_eq @ set @ X0 @ X3 @ X2)) != $true)) )),
% 1.87/0.71 inference(cnf_transformation,[],[f867])).
% 1.87/0.71 thf(f1135,plain,(
% 1.87/0.71 (((!! @ (list @ char > paraco415392788lle_tv) @ (^[Y0 : list @ char > paraco415392788lle_tv]: ((paraco2040174112le_Det @ $true) = (paraco876059933e_eval @ Y0 @ p))))) = $true) | ($false = ((~ (!! @ (list @ char > paraco415392788lle_tv) @ (^[Y0 : list @ char > paraco415392788lle_tv]: ((ord_less_eq @ set @ paraco415392788lle_tv @ (image @ list @ char @ paraco415392788lle_tv @ Y0 @ top_top @ set @ list @ char) @ (paraco506338565domain @ (collect @ nat @ (^[Y1 : nat]: ($true))))) => ((paraco2040174112le_Det @ $true) = (paraco876059933e_eval @ Y0 @ p))))))))),
% 1.87/0.71 inference(iff_proxy_clausification,[],[f1058])).
% 1.87/0.71 thf(f1136,plain,(
% 1.87/0.71 (((!! @ (list @ char > paraco415392788lle_tv) @ (^[Y0 : list @ char > paraco415392788lle_tv]: ((paraco2040174112le_Det @ $true) = (paraco876059933e_eval @ Y0 @ p))))) = $false) | ($true = ((~ (!! @ (list @ char > paraco415392788lle_tv) @ (^[Y0 : list @ char > paraco415392788lle_tv]: ((ord_less_eq @ set @ paraco415392788lle_tv @ (image @ list @ char @ paraco415392788lle_tv @ Y0 @ top_top @ set @ list @ char) @ (paraco506338565domain @ (collect @ nat @ (^[Y1 : nat]: ($true))))) => ((paraco2040174112le_Det @ $true) = (paraco876059933e_eval @ Y0 @ p))))))))),
% 1.87/0.71 inference(iff_proxy_clausification,[],[f1058])).
% 1.87/0.71 thf(f1137,plain,(
% 1.87/0.71 ($true = ((~ (!! @ (list @ char > paraco415392788lle_tv) @ (^[Y0 : list @ char > paraco415392788lle_tv]: ((ord_less_eq @ set @ paraco415392788lle_tv @ (image @ list @ char @ paraco415392788lle_tv @ Y0 @ top_top @ set @ list @ char) @ (paraco506338565domain @ (collect @ nat @ (^[Y1 : nat]: ($true))))) => ((paraco2040174112le_Det @ $true) = (paraco876059933e_eval @ Y0 @ p)))))))) | ($false = (((^[Y0 : list @ char > paraco415392788lle_tv]: ((paraco2040174112le_Det @ $true) = (paraco876059933e_eval @ Y0 @ p))) @ sK43)))),
% 1.87/0.71 inference(sigma_proxy_clausification,[],[f1136])).
% 1.87/0.71 thf(f1138,plain,(
% 1.87/0.71 (((!! @ (list @ char > paraco415392788lle_tv) @ (^[Y0 : list @ char > paraco415392788lle_tv]: ((ord_less_eq @ set @ paraco415392788lle_tv @ (image @ list @ char @ paraco415392788lle_tv @ Y0 @ top_top @ set @ list @ char) @ (paraco506338565domain @ (collect @ nat @ (^[Y1 : nat]: ($true))))) => ((paraco2040174112le_Det @ $true) = (paraco876059933e_eval @ Y0 @ p)))))) = $false) | ($false = (((^[Y0 : list @ char > paraco415392788lle_tv]: ((paraco2040174112le_Det @ $true) = (paraco876059933e_eval @ Y0 @ p))) @ sK43)))),
% 1.87/0.71 inference(not_proxy_clausification,[],[f1137])).
% 1.87/0.71 thf(f1139,plain,(
% 1.87/0.71 ((((^[Y0 : list @ char > paraco415392788lle_tv]: ((ord_less_eq @ set @ paraco415392788lle_tv @ (image @ list @ char @ paraco415392788lle_tv @ Y0 @ top_top @ set @ list @ char) @ (paraco506338565domain @ (collect @ nat @ (^[Y1 : nat]: ($true))))) => ((paraco2040174112le_Det @ $true) = (paraco876059933e_eval @ Y0 @ p)))) @ sK44)) = $false) | ($false = (((^[Y0 : list @ char > paraco415392788lle_tv]: ((paraco2040174112le_Det @ $true) = (paraco876059933e_eval @ Y0 @ p))) @ sK43)))),
% 1.87/0.71 inference(sigma_proxy_clausification,[],[f1138])).
% 1.87/0.71 thf(f1140,plain,(
% 1.87/0.71 ((((paraco2040174112le_Det @ $true) = (paraco876059933e_eval @ sK43 @ p))) = $false) | ((((ord_less_eq @ set @ paraco415392788lle_tv @ (image @ list @ char @ paraco415392788lle_tv @ sK44 @ top_top @ set @ list @ char) @ (paraco506338565domain @ (collect @ nat @ (^[Y0 : nat]: ($true))))) => ((paraco2040174112le_Det @ $true) = (paraco876059933e_eval @ sK44 @ p)))) = $false)),
% 1.87/0.71 inference(beta-eta_normalization,[],[f1139])).
% 1.87/0.71 thf(f1141,plain,(
% 1.87/0.71 (((paraco876059933e_eval @ sK43 @ p)) != ((paraco2040174112le_Det @ $true))) | ((((ord_less_eq @ set @ paraco415392788lle_tv @ (image @ list @ char @ paraco415392788lle_tv @ sK44 @ top_top @ set @ list @ char) @ (paraco506338565domain @ (collect @ nat @ (^[Y0 : nat]: ($true))))) => ((paraco2040174112le_Det @ $true) = (paraco876059933e_eval @ sK44 @ p)))) = $false)),
% 1.87/0.71 inference(equality_proxy_clausification,[],[f1140])).
% 1.87/0.71 thf(f1142,plain,(
% 1.87/0.71 (((paraco876059933e_eval @ sK43 @ p)) != ((paraco2040174112le_Det @ $true))) | ((((paraco2040174112le_Det @ $true) = (paraco876059933e_eval @ sK44 @ p))) = $false)),
% 1.87/0.71 inference(imp_proxy_clausification,[],[f1141])).
% 1.87/0.71 thf(f1144,plain,(
% 1.87/0.71 (((paraco876059933e_eval @ sK43 @ p)) != ((paraco2040174112le_Det @ $true))) | (((paraco876059933e_eval @ sK44 @ p)) != ((paraco2040174112le_Det @ $true)))),
% 1.87/0.71 inference(equality_proxy_clausification,[],[f1142])).
% 1.87/0.71 thf(f1145,plain,(
% 1.87/0.71 ( ! [X1 : (list @ char > paraco415392788lle_tv)] : (($false = ((~ (!! @ (list @ char > paraco415392788lle_tv) @ (^[Y0 : list @ char > paraco415392788lle_tv]: ((ord_less_eq @ set @ paraco415392788lle_tv @ (image @ list @ char @ paraco415392788lle_tv @ Y0 @ top_top @ set @ list @ char) @ (paraco506338565domain @ (collect @ nat @ (^[Y1 : nat]: ($true))))) => ((paraco2040174112le_Det @ $true) = (paraco876059933e_eval @ Y0 @ p)))))))) | ($true = (((^[Y0 : list @ char > paraco415392788lle_tv]: ((paraco2040174112le_Det @ $true) = (paraco876059933e_eval @ Y0 @ p))) @ X1)))) )),
% 1.87/0.71 inference(pi_proxy_clausification,[],[f1135])).
% 1.87/0.71 thf(f1146,plain,(
% 1.87/0.71 ( ! [X1 : (list @ char > paraco415392788lle_tv)] : (($true = (((^[Y0 : list @ char > paraco415392788lle_tv]: ((paraco2040174112le_Det @ $true) = (paraco876059933e_eval @ Y0 @ p))) @ X1))) | ($true = ((!! @ (list @ char > paraco415392788lle_tv) @ (^[Y0 : list @ char > paraco415392788lle_tv]: ((ord_less_eq @ set @ paraco415392788lle_tv @ (image @ list @ char @ paraco415392788lle_tv @ Y0 @ top_top @ set @ list @ char) @ (paraco506338565domain @ (collect @ nat @ (^[Y1 : nat]: ($true))))) => ((paraco2040174112le_Det @ $true) = (paraco876059933e_eval @ Y0 @ p)))))))) )),
% 1.87/0.71 inference(not_proxy_clausification,[],[f1145])).
% 1.87/0.71 thf(f1147,plain,(
% 1.87/0.71 ( ! [X2 : (list @ char > paraco415392788lle_tv),X1 : (list @ char > paraco415392788lle_tv)] : (($true = (((^[Y0 : list @ char > paraco415392788lle_tv]: ((ord_less_eq @ set @ paraco415392788lle_tv @ (image @ list @ char @ paraco415392788lle_tv @ Y0 @ top_top @ set @ list @ char) @ (paraco506338565domain @ (collect @ nat @ (^[Y1 : nat]: ($true))))) => ((paraco2040174112le_Det @ $true) = (paraco876059933e_eval @ Y0 @ p)))) @ X2))) | ($true = (((^[Y0 : list @ char > paraco415392788lle_tv]: ((paraco2040174112le_Det @ $true) = (paraco876059933e_eval @ Y0 @ p))) @ X1)))) )),
% 1.87/0.71 inference(pi_proxy_clausification,[],[f1146])).
% 1.87/0.71 thf(f1148,plain,(
% 1.87/0.71 ( ! [X2 : (list @ char > paraco415392788lle_tv),X1 : (list @ char > paraco415392788lle_tv)] : (((((paraco2040174112le_Det @ $true) = (paraco876059933e_eval @ X1 @ p))) = $true) | ((((ord_less_eq @ set @ paraco415392788lle_tv @ (image @ list @ char @ paraco415392788lle_tv @ X2 @ top_top @ set @ list @ char) @ (paraco506338565domain @ (collect @ nat @ (^[Y0 : nat]: ($true))))) => ((paraco2040174112le_Det @ $true) = (paraco876059933e_eval @ X2 @ p)))) = $true)) )),
% 1.87/0.71 inference(beta-eta_normalization,[],[f1147])).
% 1.87/0.71 thf(f1149,plain,(
% 1.87/0.71 ( ! [X2 : (list @ char > paraco415392788lle_tv),X1 : (list @ char > paraco415392788lle_tv)] : ((((paraco876059933e_eval @ X1 @ p)) = ((paraco2040174112le_Det @ $true))) | ((((ord_less_eq @ set @ paraco415392788lle_tv @ (image @ list @ char @ paraco415392788lle_tv @ X2 @ top_top @ set @ list @ char) @ (paraco506338565domain @ (collect @ nat @ (^[Y0 : nat]: ($true))))) => ((paraco2040174112le_Det @ $true) = (paraco876059933e_eval @ X2 @ p)))) = $true)) )),
% 1.87/0.71 inference(equality_proxy_clausification,[],[f1148])).
% 1.87/0.71 thf(f1150,plain,(
% 1.87/0.71 ( ! [X2 : (list @ char > paraco415392788lle_tv),X1 : (list @ char > paraco415392788lle_tv)] : ((((paraco876059933e_eval @ X1 @ p)) = ((paraco2040174112le_Det @ $true))) | (((ord_less_eq @ set @ paraco415392788lle_tv @ (image @ list @ char @ paraco415392788lle_tv @ X2 @ top_top @ set @ list @ char) @ (paraco506338565domain @ (collect @ nat @ (^[Y0 : nat]: ($true)))))) = $false) | ($true = (((paraco2040174112le_Det @ $true) = (paraco876059933e_eval @ X2 @ p))))) )),
% 1.87/0.71 inference(imp_proxy_clausification,[],[f1149])).
% 1.87/0.71 thf(f1151,plain,(
% 1.87/0.71 ( ! [X2 : (list @ char > paraco415392788lle_tv),X1 : (list @ char > paraco415392788lle_tv)] : ((((paraco876059933e_eval @ X2 @ p)) = ((paraco2040174112le_Det @ $true))) | (((paraco876059933e_eval @ X1 @ p)) = ((paraco2040174112le_Det @ $true))) | (((ord_less_eq @ set @ paraco415392788lle_tv @ (image @ list @ char @ paraco415392788lle_tv @ X2 @ top_top @ set @ list @ char) @ (paraco506338565domain @ (collect @ nat @ (^[Y0 : nat]: ($true)))))) = $false)) )),
% 1.87/0.71 inference(equality_proxy_clausification,[],[f1150])).
% 1.87/0.71 thf(f1154,definition,(
% 1.87/0.71 spl45_1 <=> (((paraco876059933e_eval @ sK43 @ p)) = ((paraco2040174112le_Det @ $true)))),
% 1.87/0.71 introduced(definition,[new_symbols(definition,[spl45_1])],[avatar_definition])).
% 1.87/0.71 thf(f1156,plain,(
% 1.87/0.71 (((paraco876059933e_eval @ sK43 @ p)) != ((paraco2040174112le_Det @ $true))) | spl45_1),
% 1.87/0.71 inference(avatar_component_clause,[],[f1154])).
% 1.87/0.71 thf(f1158,definition,(
% 1.87/0.71 spl45_2 <=> (((paraco876059933e_eval @ sK44 @ p)) = ((paraco2040174112le_Det @ $true)))),
% 1.87/0.71 introduced(definition,[new_symbols(definition,[spl45_2])],[avatar_definition])).
% 1.87/0.71 thf(f1160,plain,(
% 1.87/0.71 (((paraco876059933e_eval @ sK44 @ p)) != ((paraco2040174112le_Det @ $true))) | spl45_2),
% 1.87/0.71 inference(avatar_component_clause,[],[f1158])).
% 1.87/0.71 thf(f1161,plain,(
% 1.87/0.71 ~spl45_1 | ~spl45_2),
% 1.87/0.71 inference(avatar_split_clause,[],[f1144,f1158,f1154])).
% 1.87/0.71 thf(f1162,plain,(
% 1.87/0.71 ( ! [X2 : (list @ char > paraco415392788lle_tv),X1 : (list @ char > paraco415392788lle_tv)] : ((((ord_less_eq @ set @ paraco415392788lle_tv @ (image @ list @ char @ paraco415392788lle_tv @ X2 @ (collect @ list @ char @ (^[Y0 : list @ char]: ($true)))) @ (paraco506338565domain @ (collect @ nat @ (^[Y0 : nat]: ($true)))))) = $false) | (((paraco876059933e_eval @ X2 @ p)) = ((paraco2040174112le_Det @ $true))) | (((paraco876059933e_eval @ X1 @ p)) = ((paraco2040174112le_Det @ $true)))) )),
% 1.87/0.71 inference(forward_demodulation,[],[f1151,f1050])).
% 1.87/0.71 thf(f1164,plain,(
% 1.87/0.71 ( ! [X2 : (list @ char > paraco415392788lle_tv),X1 : (list @ char > paraco415392788lle_tv)] : ((((paraco876059933e_eval @ X2 @ p)) = ((paraco2040174112le_Det @ $true))) | ($false = ((ord_less_eq @ set @ paraco415392788lle_tv @ (image @ list @ char @ paraco415392788lle_tv @ X2 @ (collect @ list @ char @ (^[Y0 : list @ char]: ($true)))) @ (collect @ paraco415392788lle_tv @ (^[Y0 : paraco415392788lle_tv]: ($true)))))) | (((paraco876059933e_eval @ X1 @ p)) = ((paraco2040174112le_Det @ $true)))) )),
% 1.87/0.71 inference(forward_demodulation,[],[f1162,f1086])).
% 1.87/0.71 thf(f1171,definition,(
% 1.87/0.71 spl45_4 <=> ! [X2 : (list @ char > paraco415392788lle_tv)] : ((((paraco876059933e_eval @ X2 @ p)) = ((paraco2040174112le_Det @ $true))) | ($false = ((ord_less_eq @ set @ paraco415392788lle_tv @ (image @ list @ char @ paraco415392788lle_tv @ X2 @ (collect @ list @ char @ (^[Y0 : list @ char]: ($true)))) @ (collect @ paraco415392788lle_tv @ (^[Y0 : paraco415392788lle_tv]: ($true)))))))),
% 1.87/0.71 introduced(definition,[new_symbols(definition,[spl45_4])],[avatar_definition])).
% 1.87/0.71 thf(f1172,plain,(
% 1.87/0.71 ( ! [X2 : (list @ char > paraco415392788lle_tv)] : (($false = ((ord_less_eq @ set @ paraco415392788lle_tv @ (image @ list @ char @ paraco415392788lle_tv @ X2 @ (collect @ list @ char @ (^[Y0 : list @ char]: ($true)))) @ (collect @ paraco415392788lle_tv @ (^[Y0 : paraco415392788lle_tv]: ($true)))))) | (((paraco876059933e_eval @ X2 @ p)) = ((paraco2040174112le_Det @ $true)))) ) | ~spl45_4),
% 1.87/0.71 inference(avatar_component_clause,[],[f1171])).
% 1.87/0.71 thf(f1174,definition,(
% 1.87/0.71 spl45_5 <=> ! [X1 : (list @ char > paraco415392788lle_tv)] : (((paraco876059933e_eval @ X1 @ p)) = ((paraco2040174112le_Det @ $true)))),
% 1.87/0.71 introduced(definition,[new_symbols(definition,[spl45_5])],[avatar_definition])).
% 1.87/0.71 thf(f1175,plain,(
% 1.87/0.71 ( ! [X1 : (list @ char > paraco415392788lle_tv)] : ((((paraco876059933e_eval @ X1 @ p)) = ((paraco2040174112le_Det @ $true)))) ) | ~spl45_5),
% 1.87/0.71 inference(avatar_component_clause,[],[f1174])).
% 1.87/0.71 thf(f1176,plain,(
% 1.87/0.71 spl45_4 | spl45_5),
% 1.87/0.71 inference(avatar_split_clause,[],[f1164,f1174,f1171])).
% 1.87/0.71 thf(f1185,plain,(
% 1.87/0.71 ( ! [X0 : (list @ char > paraco415392788lle_tv),X1 : set @ paraco415392788lle_tv] : ((((ord_less_eq @ set @ paraco415392788lle_tv @ (image @ list @ char @ paraco415392788lle_tv @ X0 @ (collect @ list @ char @ (^[Y0 : list @ char]: ($true)))) @ X1)) != $true) | (((ord_less_eq @ set @ paraco415392788lle_tv @ X1 @ (collect @ paraco415392788lle_tv @ (^[Y0 : paraco415392788lle_tv]: ($true))))) != $true) | ($true = $false) | (((paraco876059933e_eval @ X0 @ p)) = ((paraco2040174112le_Det @ $true)))) ) | ~spl45_4),
% 1.87/0.71 inference(superposition,[],[f1172,f1091])).
% 1.87/0.71 thf(f1214,plain,(
% 1.87/0.71 ( ! [X0 : (list @ char > paraco415392788lle_tv),X1 : set @ paraco415392788lle_tv] : ((((ord_less_eq @ set @ paraco415392788lle_tv @ (image @ list @ char @ paraco415392788lle_tv @ X0 @ (collect @ list @ char @ (^[Y0 : list @ char]: ($true)))) @ X1)) != $true) | (((paraco876059933e_eval @ X0 @ p)) = ((paraco2040174112le_Det @ $true))) | (((ord_less_eq @ set @ paraco415392788lle_tv @ X1 @ (collect @ paraco415392788lle_tv @ (^[Y0 : paraco415392788lle_tv]: ($true))))) != $true)) ) | ~spl45_4),
% 1.87/0.71 inference(trivial_inequality_removal,[],[f1185])).
% 1.87/0.71 thf(f1283,plain,(
% 1.87/0.71 ( ! [X0 : (list @ char > paraco415392788lle_tv)] : (($true != ((ord_less_eq @ set @ paraco415392788lle_tv @ top_top @ set @ paraco415392788lle_tv @ (collect @ paraco415392788lle_tv @ (^[Y0 : paraco415392788lle_tv]: ($true)))))) | ($true != $true) | (((paraco876059933e_eval @ X0 @ p)) = ((paraco2040174112le_Det @ $true)))) ) | ~spl45_4),
% 1.87/0.71 inference(superposition,[],[f1214,f1087])).
% 1.87/0.71 thf(f1313,plain,(
% 1.87/0.71 ( ! [X0 : (list @ char > paraco415392788lle_tv)] : ((((paraco876059933e_eval @ X0 @ p)) = ((paraco2040174112le_Det @ $true))) | ($true != ((ord_less_eq @ set @ paraco415392788lle_tv @ top_top @ set @ paraco415392788lle_tv @ (collect @ paraco415392788lle_tv @ (^[Y0 : paraco415392788lle_tv]: ($true))))))) ) | ~spl45_4),
% 1.87/0.71 inference(trivial_inequality_removal,[],[f1283])).
% 1.87/0.71 thf(f1324,plain,(
% 1.87/0.71 ( ! [X0 : (list @ char > paraco415392788lle_tv)] : ((((paraco876059933e_eval @ X0 @ p)) = ((paraco2040174112le_Det @ $true))) | (((ord_less_eq @ set @ paraco415392788lle_tv @ (collect @ paraco415392788lle_tv @ (^[Y0 : paraco415392788lle_tv]: ($true))) @ (collect @ paraco415392788lle_tv @ (^[Y0 : paraco415392788lle_tv]: ($true))))) != $true)) ) | ~spl45_4),
% 1.87/0.71 inference(forward_demodulation,[],[f1313,f1050])).
% 1.87/0.71 thf(f1325,plain,(
% 1.87/0.71 ( ! [X0 : (list @ char > paraco415392788lle_tv)] : ((((paraco876059933e_eval @ X0 @ p)) = ((paraco2040174112le_Det @ $true)))) ) | ~spl45_4),
% 1.87/0.71 inference(forward_subsumption_resolution,[],[f1324,f1084])).
% 1.87/0.71 thf(f1326,plain,(
% 1.87/0.71 spl45_5 | ~spl45_4),
% 1.87/0.71 inference(avatar_split_clause,[],[f1325,f1171,f1174])).
% 1.87/0.71 thf(f1332,plain,(
% 1.87/0.71 (((paraco2040174112le_Det @ $true)) != ((paraco2040174112le_Det @ $true))) | (spl45_1 | ~spl45_5)),
% 1.87/0.71 inference(superposition,[],[f1156,f1175])).
% 1.87/0.71 thf(f1338,plain,(
% 1.87/0.71 $false | (spl45_1 | ~spl45_5)),
% 1.87/0.71 inference(trivial_inequality_removal,[],[f1332])).
% 1.87/0.71 thf(f1339,plain,(
% 1.87/0.71 spl45_1 | ~spl45_5),
% 1.87/0.71 inference(avatar_contradiction_clause,[],[f1338])).
% 1.87/0.71 thf(f1342,plain,(
% 1.87/0.71 $false | (spl45_2 | ~spl45_5)),
% 1.87/0.71 inference(forward_subsumption_resolution,[],[f1160,f1175])).
% 1.87/0.71 thf(f1343,plain,(
% 1.87/0.71 spl45_2 | ~spl45_5),
% 1.87/0.71 inference(avatar_contradiction_clause,[],[f1342])).
% 1.87/0.71 cnf(s1, plain, ~spl45_1 | ~spl45_2, inference(sat_conversion,[],[f1161])).
% 1.87/0.71 cnf(s3, plain, spl45_4 | spl45_5, inference(sat_conversion,[],[f1176])).
% 1.87/0.71 cnf(s6, plain, ~spl45_4 | spl45_5, inference(sat_conversion,[],[f1326])).
% 1.87/0.71 cnf(s7, plain, spl45_1 | ~spl45_5, inference(sat_conversion,[],[f1339])).
% 1.87/0.71 cnf(s8, plain, spl45_2 | ~spl45_5, inference(sat_conversion,[],[f1343])).
% 1.87/0.71 cnf(s9, plain, spl45_5, inference(rat,[],[s3,s6])).
% 1.87/0.71 cnf(s10, plain, spl45_2, inference(rat,[],[s8,s9])).
% 1.87/0.71 cnf(s11, plain, spl45_1, inference(rat,[],[s7,s9])).
% 1.87/0.71 cnf(s12, plain, $false, inference(rat,[],[s1,s10,s11])).
% 1.87/0.71 thf(f1344,plain,(
% 1.87/0.71 $false),
% 1.87/0.71 inference(avatar_sat_refutation,[],[s12])).
% 1.87/0.71 % SZS output end Proof for theBenchmark
% 1.87/0.71 % (4041643)------------------------------
% 1.87/0.71 % (4041643)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.71 % (4041643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.71 % (4041643)CaDiCaL version: 2.1.3
% 1.87/0.71 % (4041643)Termination reason: Refutation
% 1.87/0.71 % (4041643)Time elapsed: 0.101 s
% 1.87/0.71 % (4041643)Peak memory usage: 14 MB
% 1.87/0.71 % (4041643)Instructions burned: 113 (million)
% 1.87/0.71 % (4041608)Success in time 0.285 s
% 1.87/0.71 % Vampire exiting
%------------------------------------------------------------------------------