%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP199^2 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : 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 08:08:47 AM UTC 2026
% Result : Theorem 0.86s 0.41s
% Output : Refutation 0.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP199^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n015.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 20:14:19 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running higher-order theorem proving
% 0.09/0.26 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.86/0.41 % (4059750)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.86/0.41 % (4059758)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=1933536711: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)
% 0.86/0.41 % (4059761)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.86/0.41 % (4059761)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
% 0.86/0.41 % (4059759)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3253291552:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.86/0.41 % (4059755)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3855552693:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.86/0.41 % (4059756)lrs+10_16_si=on:nwc=1.5:random_seed=1547114241:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.86/0.41 % (4059757)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3250636551:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.86/0.41 % (4059761)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=1778874035:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.86/0.41 % (4059760)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3512433959:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.86/0.41 % (4059757)Instruction limit reached!
% 0.86/0.41 % (4059757)------------------------------
% 0.86/0.41 % (4059757)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.41 % (4059757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.41 % (4059757)CaDiCaL version: 2.1.3
% 0.86/0.41 % (4059757)Termination reason: Instruction limit
% 0.86/0.41 % (4059757)Termination phase: shuffling
% 0.86/0.41 % (4059757)Time elapsed: 0.002 s
% 0.86/0.41 % (4059757)Peak memory usage: 10 MB
% 0.86/0.41 % (4059757)Instructions burned: 3 (million)
% 0.86/0.41 % (4059756)Instruction limit reached!
% 0.86/0.41 % (4059756)------------------------------
% 0.86/0.41 % (4059756)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.41 % (4059756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.41 % (4059756)CaDiCaL version: 2.1.3
% 0.86/0.41 % (4059756)Termination reason: Instruction limit
% 0.86/0.41 % (4059756)Termination phase: Property scanning
% 0.86/0.41 % (4059756)Time elapsed: 0.010 s
% 0.86/0.41 % (4059756)Peak memory usage: 10 MB
% 0.86/0.41 % (4059756)Instructions burned: 19 (million)
% 0.86/0.41 % (4059759)Instruction limit reached!
% 0.86/0.41 % (4059759)------------------------------
% 0.86/0.41 % (4059759)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.41 % (4059759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.41 % (4059759)CaDiCaL version: 2.1.3
% 0.86/0.41 % (4059759)Termination reason: Instruction limit
% 0.86/0.41 % (4059759)Termination phase: Property scanning
% 0.86/0.41 % (4059759)Time elapsed: 0.012 s
% 0.86/0.41 % (4059759)Peak memory usage: 10 MB
% 0.86/0.41 % (4059759)Instructions burned: 25 (million)
% 0.86/0.41 % (4059769)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3567783942:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.86/0.41 % (4059769)Instruction limit reached!
% 0.86/0.41 % (4059769)------------------------------
% 0.86/0.41 % (4059769)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.41 % (4059769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.41 % (4059769)CaDiCaL version: 2.1.3
% 0.86/0.41 % (4059769)Termination reason: Instruction limit
% 0.86/0.41 % (4059769)Termination phase: shuffling
% 0.86/0.41 % (4059769)Time elapsed: 0.003 s
% 0.86/0.41 % (4059769)Peak memory usage: 10 MB
% 0.86/0.41 % (4059769)Instructions burned: 4 (million)
% 0.86/0.41 % (4059771)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.86/0.41 % (4059770)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2092400906:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.86/0.41 % (4059771)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=93655367:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.86/0.41 % (4059770)Instruction limit reached!
% 0.86/0.41 % (4059770)------------------------------
% 0.86/0.41 % (4059770)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.41 % (4059770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.41 % (4059770)CaDiCaL version: 2.1.3
% 0.86/0.41 % (4059770)Termination reason: Instruction limit
% 0.86/0.41 % (4059770)Termination phase: shuffling
% 0.86/0.41 % (4059770)Time elapsed: 0.003 s
% 0.86/0.41 % (4059770)Peak memory usage: 10 MB
% 0.86/0.41 % (4059770)Instructions burned: 5 (million)
% 0.86/0.41 % (4059771)Instruction limit reached!
% 0.86/0.41 % (4059771)------------------------------
% 0.86/0.41 % (4059771)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.41 % (4059771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.41 % (4059771)CaDiCaL version: 2.1.3
% 0.86/0.41 % (4059771)Termination reason: Instruction limit
% 0.86/0.41 % (4059771)Termination phase: shuffling
% 0.86/0.41 % (4059771)Time elapsed: 0.004 s
% 0.86/0.41 % (4059771)Peak memory usage: 10 MB
% 0.86/0.41 % (4059771)Instructions burned: 7 (million)
% 0.86/0.41 % (4059760)Instruction limit reached!
% 0.86/0.41 % (4059760)------------------------------
% 0.86/0.41 % (4059760)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.41 % (4059760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.41 % (4059760)CaDiCaL version: 2.1.3
% 0.86/0.41 % (4059760)Termination reason: Instruction limit
% 0.86/0.41 % (4059760)Termination phase: Function definition elimination
% 0.86/0.41 % (4059760)Time elapsed: 0.037 s
% 0.86/0.41 % (4059760)Peak memory usage: 12 MB
% 0.86/0.41 % (4059760)Instructions burned: 76 (million)
% 0.86/0.41 % (4059755)Instruction limit reached!
% 0.86/0.41 % (4059755)------------------------------
% 0.86/0.41 % (4059755)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.41 % (4059755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.41 % (4059755)CaDiCaL version: 2.1.3
% 0.86/0.41 % (4059755)Termination reason: Instruction limit
% 0.86/0.41 % (4059755)Termination phase: Property scanning
% 0.86/0.41 % (4059755)Time elapsed: 0.042 s
% 0.86/0.41 % (4059755)Peak memory usage: 12 MB
% 0.86/0.41 % (4059755)Instructions burned: 89 (million)
% 0.86/0.41 % (4059773)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1596375605:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.86/0.41 % (4059776)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
% 0.86/0.41 % (4059776)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.86/0.41 % (4059773)Instruction limit reached!
% 0.86/0.41 % (4059773)------------------------------
% 0.86/0.41 % (4059773)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.41 % (4059773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.41 % (4059773)CaDiCaL version: 2.1.3
% 0.86/0.41 % (4059773)Termination reason: Instruction limit
% 0.86/0.41 % (4059773)Termination phase: shuffling
% 0.86/0.41 % (4059773)Time elapsed: 0.006 s
% 0.86/0.41 % (4059773)Peak memory usage: 10 MB
% 0.86/0.41 % (4059773)Instructions burned: 12 (million)
% 0.86/0.41 % (4059776)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2972522013:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.86/0.41 % (4059778)lrs+10_1_si=on:cs=on:random_seed=1245023972:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.86/0.41 % (4059779)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.86/0.41 % (4059778)Instruction limit reached!
% 0.86/0.41 % (4059778)------------------------------
% 0.86/0.41 % (4059778)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.41 % (4059778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.41 % (4059778)CaDiCaL version: 2.1.3
% 0.86/0.41 % (4059778)Termination reason: Instruction limit
% 0.86/0.41 % (4059778)Termination phase: shuffling
% 0.86/0.41 % (4059778)Time elapsed: 0.004 s
% 0.86/0.41 % (4059779)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=3236446174:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.86/0.41 % (4059778)Peak memory usage: 10 MB
% 0.86/0.41 % (4059778)Instructions burned: 9 (million)
% 0.86/0.41 % (4059779)Instruction limit reached!
% 0.86/0.41 % (4059779)------------------------------
% 0.86/0.41 % (4059779)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.41 % (4059779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.41 % (4059779)CaDiCaL version: 2.1.3
% 0.86/0.41 % (4059779)Termination reason: Instruction limit
% 0.86/0.41 % (4059779)Termination phase: shuffling
% 0.86/0.41 % (4059779)Time elapsed: 0.003 s
% 0.86/0.41 % (4059779)Peak memory usage: 10 MB
% 0.86/0.41 % (4059779)Instructions burned: 6 (million)
% 0.86/0.41 % (4059776)Instruction limit reached!
% 0.86/0.41 % (4059776)------------------------------
% 0.86/0.41 % (4059776)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.41 % (4059776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.41 % (4059776)CaDiCaL version: 2.1.3
% 0.86/0.41 % (4059776)Termination reason: Instruction limit
% 0.86/0.41 % (4059776)Termination phase: shuffling
% 0.86/0.41 % (4059776)Time elapsed: 0.013 s
% 0.86/0.41 % (4059776)Peak memory usage: 10 MB
% 0.86/0.41 % (4059776)Instructions burned: 28 (million)
% 0.86/0.41 % (4059777)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=892820310:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.86/0.41 % (4059782)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=130437783:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.86/0.41 % (4059761)Instruction limit reached!
% 0.86/0.41 % (4059761)------------------------------
% 0.86/0.41 % (4059761)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.41 % (4059761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.41 % (4059761)CaDiCaL version: 2.1.3
% 0.86/0.41 % (4059761)Termination reason: Instruction limit
% 0.86/0.41 % (4059761)Termination phase: Saturation
% 0.86/0.41 % (4059761)Time elapsed: 0.079 s
% 0.86/0.41 % (4059761)Peak memory usage: 14 MB
% 0.86/0.41 % (4059761)Instructions burned: 158 (million)
% 0.86/0.41 % (4059785)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2796068471:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.86/0.41 % (4059786)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2350566451:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.86/0.41 % (4059787)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1637977681:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.86/0.41 % (4059758) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4059750-4059758"...
% 0.86/0.41 % (4059758)...printing done.
% 0.86/0.41 % (4059782)Instruction limit reached!
% 0.86/0.41 % (4059782)------------------------------
% 0.86/0.41 % (4059782)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.41 % (4059782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.41 % (4059782)CaDiCaL version: 2.1.3
% 0.86/0.41 % (4059782)Termination reason: Instruction limit
% 0.86/0.41 % (4059782)Termination phase: Preprocessing 3
% 0.86/0.41 % (4059782)Time elapsed: 0.019 s
% 0.86/0.41 % (4059782)Peak memory usage: 11 MB
% 0.86/0.41 % (4059782)Instructions burned: 38 (million)
% 0.86/0.41 % (4059758)Refutation found. Thanks to Tanya!
% 0.86/0.41 % SZS status Theorem for theBenchmark
% 0.86/0.41 % SZS output start Proof for theBenchmark
% 0.86/0.41 thf(type_def_5, type, denotational_interp: $tType).
% 0.86/0.41 thf(type_def_6, type, product_prod: ($tType * $tType) > $tType).
% 0.86/0.41 thf(type_def_7, type, variable: $tType).
% 0.86/0.41 thf(type_def_8, type, option: $tType > $tType).
% 0.86/0.41 thf(type_def_9, type, game: $tType).
% 0.86/0.41 thf(type_def_10, type, char: $tType).
% 0.86/0.41 thf(type_def_11, type, trm: $tType).
% 0.86/0.41 thf(type_def_12, type, fml: $tType).
% 0.86/0.41 thf(type_def_13, type, real: $tType).
% 0.86/0.41 thf(type_def_14, type, set: $tType > $tType).
% 0.86/0.41 thf(type_def_15, type, nat: $tType).
% 0.86/0.41 thf(type_def_16, type, sTfun: ($tType * $tType) > $tType).
% 0.86/0.41 thf(func_def_0, type, bounded_lattice: !>[X0: $tType]:($o)).
% 0.86/0.41 thf(func_def_1, type, type: !>[X0: $tType]:($o)).
% 0.86/0.41 thf(func_def_2, type, zero: !>[X0: $tType]:($o)).
% 0.86/0.41 thf(func_def_3, type, uminus: !>[X0: $tType]:($o)).
% 0.86/0.41 thf(func_def_4, type, bot: !>[X0: $tType]:($o)).
% 0.86/0.41 thf(func_def_5, type, group_add: !>[X0: $tType]:($o)).
% 0.86/0.41 thf(func_def_6, type, lattice: !>[X0: $tType]:($o)).
% 0.86/0.41 thf(func_def_7, type, preorder: !>[X0: $tType]:($o)).
% 0.86/0.41 thf(func_def_8, type, boolean_algebra: !>[X0: $tType]:($o)).
% 0.86/0.41 thf(func_def_9, type, semilattice_inf: !>[X0: $tType]:($o)).
% 0.86/0.41 thf(func_def_10, type, semilattice_sup: !>[X0: $tType]:($o)).
% 0.86/0.41 thf(func_def_11, type, ordered_ab_group_add: !>[X0: $tType]:($o)).
% 0.86/0.41 thf(func_def_12, type, linord219039673up_add: !>[X0: $tType]:($o)).
% 0.86/0.41 thf(func_def_13, type, bounde1808546759up_bot: !>[X0: $tType]:($o)).
% 0.86/0.41 thf(func_def_14, type, canoni770627133id_add: !>[X0: $tType]:($o)).
% 0.86/0.41 thf(func_def_15, type, statediff: ((variable > real) > (variable > real) > set @ variable)).
% 0.86/0.41 thf(func_def_16, type, stateinterpol: ((variable > real) > (variable > real) > set @ variable > variable > real)).
% 0.86/0.41 thf(func_def_17, type, denota1419872369iation: ((variable > real) > (variable > real) > set @ variable > $o)).
% 0.86/0.41 thf(func_def_18, type, denotational_Vagree: ((variable > real) > (variable > real) > set @ variable > $o)).
% 0.86/0.41 thf(func_def_19, type, denotational_repv: ((variable > real) > variable > real > variable > real)).
% 0.86/0.41 thf(func_def_20, type, denota1778088425es_ODE: (denotational_interp > (real > variable > real) > char > trm > $o)).
% 0.86/0.41 thf(func_def_21, type, denota1863255036rm_sem: (denotational_interp > trm > (variable > real) > real)).
% 0.86/0.41 thf(func_def_22, type, uminus_uminus: !>[X0: $tType]:((X0 > X0))).
% 0.86/0.41 thf(func_def_23, type, zero_zero: !>[X0: $tType]:(X0)).
% 0.86/0.41 thf(func_def_24, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 0.86/0.41 thf(func_def_25, type, inf_inf: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.86/0.41 thf(func_def_26, type, sup_sup: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.86/0.41 thf(func_def_27, type, size_size: !>[X0: $tType]:((X0 > nat))).
% 0.86/0.41 thf(func_def_28, type, none: !>[X0: $tType]:(option @ X0)).
% 0.86/0.41 thf(func_def_29, type, some: !>[X0: $tType]:((X0 > option @ X0))).
% 0.86/0.41 thf(func_def_30, type, case_option: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0) > option @ X1 > X0))).
% 0.86/0.41 thf(func_def_31, type, set_option: !>[X0: $tType]:((option @ X0 > set @ X0))).
% 0.86/0.41 thf(func_def_32, type, the: !>[X0: $tType]:((option @ X0 > X0))).
% 0.86/0.41 thf(func_def_33, type, these: !>[X0: $tType]:((set @ option @ X0 > set @ X0))).
% 0.86/0.41 thf(func_def_34, type, bot_bot: !>[X0: $tType]:(X0)).
% 0.86/0.41 thf(func_def_35, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.86/0.41 thf(func_def_36, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 0.86/0.41 thf(func_def_37, type, insert: !>[X0: $tType]:((X0 > set @ X0 > set @ X0))).
% 0.86/0.41 thf(func_def_38, type, is_empty: !>[X0: $tType]:((set @ X0 > $o))).
% 0.86/0.41 thf(func_def_39, type, is_singleton: !>[X0: $tType]:((set @ X0 > $o))).
% 0.86/0.41 thf(func_def_40, type, the_elem: !>[X0: $tType]:((set @ X0 > X0))).
% 0.86/0.41 thf(func_def_41, type, static_FVT: (trm > set @ variable)).
% 0.86/0.41 thf(func_def_42, type, static_selectlike: (set @ (variable > real) > (variable > real) > set @ variable > set @ (variable > real))).
% 0.86/0.41 thf(func_def_43, type, times: (trm > trm > trm)).
% 0.86/0.41 thf(func_def_44, type, dVar: (char > variable)).
% 0.86/0.41 thf(func_def_45, type, rVar: (char > variable)).
% 0.86/0.41 thf(func_def_46, type, rec_variable: !>[X0: $tType]:(((char > X0) > (char > X0) > variable > X0))).
% 0.86/0.41 thf(func_def_47, type, size_variable: (variable > nat)).
% 0.86/0.41 thf(func_def_48, type, uSubst277968634Timeso: (option @ trm > option @ trm > option @ trm)).
% 0.86/0.41 thf(func_def_49, type, uSubst2091380086djoint: (product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > denotational_interp > (variable > real) > denotational_interp)).
% 0.86/0.41 thf(func_def_50, type, uSubst95898992stappt: (product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > option @ trm)).
% 0.86/0.41 thf(func_def_51, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 0.86/0.41 thf(func_def_52, type, f: (real > variable > real)).
% 0.86/0.41 thf(func_def_53, type, i: denotational_interp).
% 0.86/0.41 thf(func_def_54, type, u: set @ variable).
% 0.86/0.41 thf(func_def_55, type, omega: (variable > real)).
% 0.86/0.41 thf(func_def_56, type, sigma: product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game)).
% 0.86/0.41 thf(func_def_57, type, theta: trm).
% 0.86/0.41 thf(func_def_58, type, rr: (trm > denotational_interp > trm > denotational_interp > char > (real > variable > real) > variable > real)).
% 0.86/0.41 thf(func_def_59, type, x: char).
% 0.86/0.41 thf(func_def_63, type, db0: !>[X0: $tType]:(X0)).
% 0.86/0.41 thf(func_def_64, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.86/0.41 thf(func_def_65, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.86/0.41 thf(func_def_66, type, db2: !>[X0: $tType]:(X0)).
% 0.86/0.41 thf(func_def_67, type, db1: !>[X0: $tType]:(X0)).
% 0.86/0.41 thf(func_def_68, type, vOR: ($o > $o > $o)).
% 0.86/0.41 thf(func_def_69, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.86/0.41 thf(func_def_70, type, db3: !>[X0: $tType]:(X0)).
% 0.86/0.41 thf(func_def_71, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.86/0.41 thf(func_def_72, type, vAND: ($o > $o > $o)).
% 0.86/0.41 thf(func_def_73, type, vIMP: ($o > $o > $o)).
% 0.86/0.41 thf(func_def_74, type, vNOT: ($o > $o)).
% 0.86/0.41 thf(func_def_75, type, sP0: (option @ trm > option @ trm > option @ trm > $o)).
% 0.86/0.41 thf(func_def_76, type, sK1: ((char > option @ trm > $o) > char)).
% 0.86/0.41 thf(func_def_77, type, sK2: ((char > option @ trm > $o) > char)).
% 0.86/0.41 thf(func_def_78, type, sK3: ((char > option @ trm > $o) > trm)).
% 0.86/0.41 thf(func_def_79, type, sK4: !>[X0: $tType]:((set @ X0 > X0))).
% 0.86/0.41 thf(func_def_80, type, sK5: !>[X0: $tType]:(((X0 > $o) > X0))).
% 0.86/0.41 thf(func_def_81, type, sK6: ((real > variable > real) > trm > denotational_interp > trm > denotational_interp > char > variable > real)).
% 0.86/0.41 thf(func_def_82, type, sK7: (variable > char)).
% 0.86/0.41 thf(func_def_83, type, sK8: (variable > char)).
% 0.86/0.41 thf(func_def_84, type, sK9: ((option @ trm > $o) > trm)).
% 0.86/0.41 thf(func_def_85, type, sK10: !>[X0: $tType]:((X0 > set @ X0 > set @ X0))).
% 0.86/0.41 thf(func_def_86, type, sK11: (trm > denotational_interp > trm > denotational_interp > char > (real > variable > real) > variable > real)).
% 0.86/0.41 thf(func_def_87, type, sK12: (denotational_interp > char > denotational_interp > trm > (real > variable > real) > trm > variable > real)).
% 0.86/0.41 thf(func_def_88, type, sK13: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > X0))).
% 0.86/0.41 thf(func_def_89, type, sK14: (option @ trm > trm)).
% 0.86/0.41 thf(func_def_90, type, sK15: !>[X0: $tType]:((option @ X0 > X0))).
% 0.86/0.41 thf(func_def_91, type, sK16: !>[X0: $tType]:((set @ X0 > X0))).
% 0.86/0.41 thf(func_def_92, type, sK17: (set @ (variable > real) > set @ variable > set @ (variable > real) > (variable > real) > variable > real)).
% 0.86/0.41 thf(func_def_93, type, sK18: (set @ (variable > real) > (variable > real) > set @ variable > set @ (variable > real) > variable > real)).
% 0.86/0.41 thf(func_def_94, type, sK19: !>[X0: $tType]:((set @ X0 > X0))).
% 0.86/0.41 thf(func_def_95, type, sK20: !>[X0: $tType]:((set @ X0 > X0))).
% 0.86/0.41 thf(func_def_96, type, sK21: !>[X0: $tType]:((option @ X0 > (X0 > $o) > X0))).
% 0.86/0.41 thf(func_def_97, type, sK22: !>[X0: $tType]:(((X0 > $o) > X0 > set @ X0 > X0))).
% 0.86/0.41 thf(func_def_98, type, sK23: !>[X0: $tType]:(((X0 > $o) > set @ X0 > X0))).
% 0.86/0.41 thf(func_def_99, type, sK24: !>[X0: $tType]:((option @ X0 > X0))).
% 0.86/0.41 thf(func_def_100, type, sK25: ((variable > $o) > char)).
% 0.86/0.41 thf(func_def_101, type, sK26: ((variable > $o) > char)).
% 0.86/0.41 thf(func_def_102, type, sK27: !>[X0: $tType]:((option @ X0 > X0))).
% 0.86/0.41 thf(func_def_103, type, sK28: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 0.86/0.41 thf(func_def_104, type, sK29: (denotational_interp > char > (real > variable > real) > trm > trm > denotational_interp > variable > real)).
% 0.86/0.41 thf(func_def_105, type, sK30: !>[X0: $tType, X1: $tType]:((option @ X1 > option @ X0 > (option @ X1 > option @ X0 > $o) > X1))).
% 0.86/0.41 thf(func_def_106, type, sK31: !>[X0: $tType, X1: $tType]:((option @ X1 > option @ X0 > (option @ X1 > option @ X0 > $o) > X0))).
% 0.86/0.41 thf(func_def_107, type, sK32: !>[X0: $tType]:(((option @ X0 > $o) > X0))).
% 0.86/0.41 thf(func_def_108, type, sK33: !>[X0: $tType]:((set @ X0 > set @ X0 > X0 > X0 > set @ X0))).
% 0.86/0.41 thf(func_def_109, type, sK34: !>[X0: $tType]:((set @ X0 > X0 > set @ X0))).
% 0.86/0.41 thf(func_def_110, type, sK35: !>[X0: $tType]:((set @ X0 > X0))).
% 0.86/0.41 thf(func_def_111, type, sK36: (option @ trm > option @ trm > option @ trm > trm)).
% 0.86/0.41 thf(func_def_112, type, sK37: (option @ trm > option @ trm > option @ trm > trm)).
% 0.86/0.41 thf(func_def_113, type, sK38: (option @ trm > trm)).
% 0.86/0.41 thf(func_def_114, type, sK39: !>[X0: $tType]:((set @ X0 > X0))).
% 0.86/0.41 thf(func_def_115, type, sK40: (option @ trm > trm)).
% 0.86/0.41 thf(func_def_116, type, sK41: (set @ (variable > real) > set @ variable > set @ (variable > real) > (variable > real) > variable > real)).
% 0.86/0.41 thf(func_def_117, type, sK42: ((option @ trm > option @ trm > $o) > option @ trm)).
% 0.86/0.41 thf(func_def_118, type, sK43: ((option @ trm > option @ trm > $o) > trm)).
% 0.86/0.41 thf(func_def_119, type, sK44: ((option @ trm > option @ trm > $o) > trm)).
% 0.86/0.41 thf(func_def_120, type, sK45: ((option @ trm > option @ trm > $o) > trm)).
% 0.86/0.41 thf(func_def_121, type, sK46: (set @ (variable > real) > set @ (variable > real) > set @ variable > (variable > real) > variable > real)).
% 0.86/0.41 thf(func_def_122, type, sK47: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.86/0.41 thf(func_def_123, type, sK48: ((variable > option @ trm > $o) > trm)).
% 0.86/0.41 thf(func_def_124, type, sK49: ((variable > option @ trm > $o) > variable)).
% 0.86/0.41 thf(func_def_125, type, sK50: ((variable > option @ trm > $o) > variable)).
% 0.86/0.41 thf(func_def_126, type, sK51: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 0.86/0.41 thf(func_def_127, type, sK52: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 0.86/0.41 thf(func_def_128, type, sK53: !>[X0: $tType]:((set @ X0 > set @ X0 > (X0 > $o) > X0))).
% 0.86/0.41 thf(func_def_129, type, sK54: !>[X0: $tType]:(((X0 > $o) > X0))).
% 0.86/0.41 thf(func_def_130, type, sK55: !>[X0: $tType]:((set @ X0 > (X0 > $o) > set @ X0 > X0))).
% 0.86/0.41 thf(func_def_131, type, sK56: !>[X0: $tType]:(((X0 > $o) > set @ X0 > X0))).
% 0.86/0.41 thf(func_def_132, type, sK57: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 0.86/0.41 thf(func_def_134, type, inv_dVar_59: (variable > char)).
% 0.86/0.41 thf(func_def_135, type, inv_rVar_60: (variable > char)).
% 0.86/0.41 thf(func_def_136, type, inv_some_61: !>[X0: $tType]:((option @ X0 > X0))).
% 0.86/0.41 thf(f1,axiom,(
% 0.86/0.41 (denota1419872369iation @ (f @ zero_zero @ real) @ omega @ (sup_sup @ set @ variable @ u @ (insert @ variable @ (rVar @ x) @ (insert @ variable @ (dVar @ x) @ bot_bot @ set @ variable))))),
% 0.86/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_uv)).
% 0.86/0.41 thf(f60,axiom,(
% 0.86/0.41 ! [X0 : $tType,X3 : set @ X0,X1 : set @ X0,X2 : set @ X0] : (((sup_sup @ set @ X0 @ X1 @ (sup_sup @ set @ X0 @ X2 @ X3))) = ((sup_sup @ set @ X0 @ X2 @ (sup_sup @ set @ X0 @ X1 @ X3))))),
% 0.86/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_59_Un__left__commute)).
% 0.86/0.41 thf(f79,axiom,(
% 0.86/0.41 ! [X0 : $tType,X1 : set @ X0] : (((sup_sup @ set @ X0 @ X1 @ bot_bot @ set @ X0)) = X1)),
% 0.86/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_78_Un__empty__right)).
% 0.86/0.41 thf(f302,conjecture,(
% 0.86/0.41 (denota1419872369iation @ (f @ zero_zero @ real) @ omega @ (sup_sup @ set @ variable @ (insert @ variable @ (rVar @ x) @ (insert @ variable @ (dVar @ x) @ bot_bot @ set @ variable)) @ u))),
% 0.86/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 0.86/0.41 thf(f303,negated_conjecture,(
% 0.86/0.41 ~(denota1419872369iation @ (f @ zero_zero @ real) @ omega @ (sup_sup @ set @ variable @ (insert @ variable @ (rVar @ x) @ (insert @ variable @ (dVar @ x) @ bot_bot @ set @ variable)) @ u))),
% 0.86/0.41 inference(negated_conjecture,[status(cth)],[f302])).
% 0.86/0.41 thf(f325,plain,(
% 0.86/0.41 ~(denota1419872369iation @ (f @ zero_zero @ real) @ omega @ (sup_sup @ set @ variable @ (insert @ variable @ (rVar @ x) @ (insert @ variable @ (dVar @ x) @ bot_bot @ set @ variable)) @ u))),
% 0.86/0.41 inference(rectify,[],[f303])).
% 0.86/0.41 thf(f326,plain,(
% 0.86/0.41 ~ (((denota1419872369iation @ (f @ zero_zero @ real) @ omega @ (sup_sup @ set @ variable @ (insert @ variable @ (rVar @ x) @ (insert @ variable @ (dVar @ x) @ bot_bot @ set @ variable)) @ u))) = $true)),
% 0.86/0.41 inference(fool_elimination,[],[f325])).
% 0.86/0.41 thf(f427,plain,(
% 0.86/0.41 (denota1419872369iation @ (f @ zero_zero @ real) @ omega @ (sup_sup @ set @ variable @ u @ (insert @ variable @ (rVar @ x) @ (insert @ variable @ (dVar @ x) @ bot_bot @ set @ variable))))),
% 0.86/0.41 inference(rectify,[],[f1])).
% 0.86/0.41 thf(f428,plain,(
% 0.86/0.41 (((denota1419872369iation @ (f @ zero_zero @ real) @ omega @ (sup_sup @ set @ variable @ u @ (insert @ variable @ (rVar @ x) @ (insert @ variable @ (dVar @ x) @ bot_bot @ set @ variable))))) = $true)),
% 0.86/0.41 inference(fool_elimination,[],[f427])).
% 0.86/0.41 thf(f760,plain,(
% 0.86/0.41 (((denota1419872369iation @ (f @ zero_zero @ real) @ omega @ (sup_sup @ set @ variable @ (insert @ variable @ (rVar @ x) @ (insert @ variable @ (dVar @ x) @ bot_bot @ set @ variable)) @ u))) != $true)),
% 0.86/0.41 inference(flattening,[],[f326])).
% 0.86/0.41 thf(f764,plain,(
% 0.86/0.41 ! [X0 : $tType,X1 : set @ X0,X2 : set @ X0,X3 : set @ X0] : (((sup_sup @ set @ X0 @ X3 @ (sup_sup @ set @ X0 @ X2 @ X1))) = ((sup_sup @ set @ X0 @ X2 @ (sup_sup @ set @ X0 @ X3 @ X1))))),
% 0.86/0.41 inference(rectify,[],[f60])).
% 0.86/0.41 thf(f1272,plain,(
% 0.86/0.41 ( ! [X0 : $tType,X1 : set @ X0] : ((((sup_sup @ set @ X0 @ X1 @ bot_bot @ set @ X0)) = X1)) )),
% 0.86/0.41 inference(cnf_transformation,[],[f79])).
% 0.86/0.41 thf(f1353,plain,(
% 0.86/0.41 (((denota1419872369iation @ (f @ zero_zero @ real) @ omega @ (sup_sup @ set @ variable @ (insert @ variable @ (rVar @ x) @ (insert @ variable @ (dVar @ x) @ bot_bot @ set @ variable)) @ u))) != $true)),
% 0.86/0.41 inference(cnf_transformation,[],[f760])).
% 0.86/0.41 thf(f1374,plain,(
% 0.86/0.41 (((denota1419872369iation @ (f @ zero_zero @ real) @ omega @ (sup_sup @ set @ variable @ u @ (insert @ variable @ (rVar @ x) @ (insert @ variable @ (dVar @ x) @ bot_bot @ set @ variable))))) = $true)),
% 0.86/0.41 inference(cnf_transformation,[],[f428])).
% 0.86/0.41 thf(f1545,plain,(
% 0.86/0.41 ( ! [X0 : $tType,X2 : set @ X0,X3 : set @ X0,X1 : set @ X0] : ((((sup_sup @ set @ X0 @ X3 @ (sup_sup @ set @ X0 @ X2 @ X1))) = ((sup_sup @ set @ X0 @ X2 @ (sup_sup @ set @ X0 @ X3 @ X1))))) )),
% 0.86/0.41 inference(cnf_transformation,[],[f764])).
% 0.86/0.41 thf(f1935,definition,(
% 0.86/0.41 spl58_8 <=> (((denota1419872369iation @ (f @ zero_zero @ real) @ omega @ (sup_sup @ set @ variable @ u @ (insert @ variable @ (rVar @ x) @ (insert @ variable @ (dVar @ x) @ bot_bot @ set @ variable))))) = $true)),
% 0.86/0.41 introduced(definition,[new_symbols(definition,[spl58_8])],[avatar_definition])).
% 0.86/0.41 thf(f1937,plain,(
% 0.86/0.41 (((denota1419872369iation @ (f @ zero_zero @ real) @ omega @ (sup_sup @ set @ variable @ u @ (insert @ variable @ (rVar @ x) @ (insert @ variable @ (dVar @ x) @ bot_bot @ set @ variable))))) = $true) | ~spl58_8),
% 0.86/0.41 inference(avatar_component_clause,[],[f1935])).
% 0.86/0.41 thf(f1938,plain,(
% 0.86/0.41 spl58_8),
% 0.86/0.41 inference(avatar_split_clause,[],[f1374,f1935])).
% 0.86/0.41 thf(f1980,definition,(
% 0.86/0.41 spl58_17 <=> (((denota1419872369iation @ (f @ zero_zero @ real) @ omega @ (sup_sup @ set @ variable @ (insert @ variable @ (rVar @ x) @ (insert @ variable @ (dVar @ x) @ bot_bot @ set @ variable)) @ u))) = $true)),
% 0.86/0.41 introduced(definition,[new_symbols(definition,[spl58_17])],[avatar_definition])).
% 0.86/0.41 thf(f1982,plain,(
% 0.86/0.41 (((denota1419872369iation @ (f @ zero_zero @ real) @ omega @ (sup_sup @ set @ variable @ (insert @ variable @ (rVar @ x) @ (insert @ variable @ (dVar @ x) @ bot_bot @ set @ variable)) @ u))) != $true) | spl58_17),
% 0.86/0.41 inference(avatar_component_clause,[],[f1980])).
% 0.86/0.41 thf(f1983,plain,(
% 0.86/0.41 ~spl58_17),
% 0.86/0.41 inference(avatar_split_clause,[],[f1353,f1980])).
% 0.86/0.41 thf(f2458,plain,(
% 0.86/0.41 ( ! [X1 : $tType,X2 : set @ X1,X0 : set @ X1] : ((((sup_sup @ set @ X1 @ X0 @ (sup_sup @ set @ X1 @ X2 @ bot_bot @ set @ X1))) = ((sup_sup @ set @ X1 @ X2 @ X0)))) )),
% 0.86/0.41 inference(superposition,[],[f1545,f1272])).
% 0.86/0.41 thf(f2495,plain,(
% 0.86/0.41 ( ! [X1 : $tType,X2 : set @ X1,X0 : set @ X1] : ((((sup_sup @ set @ X1 @ X0 @ X2)) = ((sup_sup @ set @ X1 @ X2 @ X0)))) )),
% 0.86/0.41 inference(forward_demodulation,[],[f2458,f1272])).
% 0.86/0.41 thf(f3409,plain,(
% 0.86/0.41 (((denota1419872369iation @ (f @ zero_zero @ real) @ omega @ (sup_sup @ set @ variable @ (insert @ variable @ (rVar @ x) @ (insert @ variable @ (dVar @ x) @ bot_bot @ set @ variable)) @ u))) = $true) | ~spl58_8),
% 0.86/0.41 inference(superposition,[],[f1937,f2495])).
% 0.86/0.41 thf(f3424,plain,(
% 0.86/0.41 $false | (~spl58_8 | spl58_17)),
% 0.86/0.41 inference(forward_subsumption_resolution,[],[f3409,f1982])).
% 0.86/0.41 thf(f3425,plain,(
% 0.86/0.41 ~spl58_8 | spl58_17),
% 0.86/0.41 inference(avatar_contradiction_clause,[],[f3424])).
% 0.86/0.41 cnf(s8, plain, spl58_8, inference(sat_conversion,[],[f1938])).
% 0.86/0.41 cnf(s17, plain, ~spl58_17, inference(sat_conversion,[],[f1983])).
% 0.86/0.41 cnf(s114, plain, ~spl58_8 | spl58_17, inference(sat_conversion,[],[f3425])).
% 0.86/0.41 cnf(s121, plain, ~spl58_8, inference(rat,[],[s114,s17])).
% 0.86/0.41 cnf(s128, plain, $false, inference(rat,[],[s8,s121])).
% 0.86/0.41 thf(f3448,plain,(
% 0.86/0.41 $false),
% 0.86/0.41 inference(avatar_sat_refutation,[],[s128])).
% 0.86/0.41 % SZS output end Proof for theBenchmark
% 0.86/0.41 % (4059758)------------------------------
% 0.86/0.41 % (4059758)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.41 % (4059758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.41 % (4059758)CaDiCaL version: 2.1.3
% 0.86/0.41 % (4059758)Termination reason: Refutation
% 0.86/0.41 % (4059758)Time elapsed: 0.097 s
% 0.86/0.41 % (4059758)Peak memory usage: 15 MB
% 0.86/0.41 % (4059758)Instructions burned: 327 (million)
% 0.86/0.41 % (4059750)Success in time 0.14 s
% 0.86/0.41 % Vampire exiting
%------------------------------------------------------------------------------