%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV171^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 08:37:57 AM UTC 2026
% Result : Theorem 1.06s 0.45s
% Output : Refutation 1.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV171^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n003.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 15:20:14 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running higher-order theorem proving
% 0.08/0.22 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.31/0.32 % (2632255)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.31/0.32 % (2632260)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3468817496:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.31/0.32 % (2632260)Refutation not found, incomplete strategy
% 0.31/0.32 % (2632260)------------------------------
% 0.31/0.32 % (2632260)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.32 % (2632260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.32 % (2632260)CaDiCaL version: 2.1.3
% 0.31/0.32 % (2632260)Termination reason: Refutation not found, incomplete strategy
% 0.31/0.32 % (2632260)Time elapsed: 0.003 s
% 0.31/0.32 % (2632260)Peak memory usage: 12 MB
% 0.31/0.32 % (2632260)Instructions burned: 8 (million)
% 0.31/0.32 % (2632260)------------------------------
% 0.31/0.32 % (2632260)------------------------------
% 0.31/0.32 % (2632261)lrs+10_16_si=on:nwc=1.5:random_seed=4225641326:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.31/0.32 % (2632264)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3770058541:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.31/0.32 % (2632262)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3678812179:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.31/0.32 % (2632263)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=223280220: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)
% 0.31/0.32 % (2632262)Instruction limit reached!
% 0.31/0.32 % (2632262)------------------------------
% 0.31/0.32 % (2632262)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.32 % (2632262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.32 % (2632262)CaDiCaL version: 2.1.3
% 0.31/0.32 % (2632262)Termination reason: Instruction limit
% 0.31/0.32 % (2632262)Termination phase: Saturation
% 0.31/0.32 % (2632262)Time elapsed: 0.003 s
% 0.31/0.32 % (2632262)Peak memory usage: 12 MB
% 0.31/0.32 % (2632262)Instructions burned: 4 (million)
% 0.31/0.32 % (2632264)Refutation not found, incomplete strategy
% 0.31/0.32 % (2632264)------------------------------
% 0.31/0.32 % (2632264)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.32 % (2632264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.32 % (2632264)CaDiCaL version: 2.1.3
% 0.31/0.32 % (2632264)Termination reason: Refutation not found, incomplete strategy
% 0.31/0.32 % (2632264)Time elapsed: 0.005 s
% 0.31/0.32 % (2632264)Peak memory usage: 12 MB
% 0.31/0.32 % (2632264)Instructions burned: 8 (million)
% 0.31/0.32 % (2632268)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=21414712:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.31/0.32 % (2632264)------------------------------
% 0.31/0.32 % (2632264)------------------------------
% 0.31/0.32 % (2632268)Instruction limit reached!
% 0.31/0.32 % (2632268)------------------------------
% 0.31/0.32 % (2632268)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.32 % (2632268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.32 % (2632268)CaDiCaL version: 2.1.3
% 0.31/0.32 % (2632268)Termination reason: Instruction limit
% 0.31/0.32 % (2632268)Termination phase: Saturation
% 0.31/0.32 % (2632268)Time elapsed: 0.001 s
% 0.31/0.32 % (2632268)Peak memory usage: 12 MB
% 0.31/0.32 % (2632268)Instructions burned: 3 (million)
% 0.31/0.32 % (2632266)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.31/0.32 % (2632266)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
% 0.31/0.32 % (2632263)Refutation not found, incomplete strategy
% 0.31/0.32 % (2632263)------------------------------
% 0.31/0.32 % (2632263)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.32 % (2632263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.32 % (2632263)CaDiCaL version: 2.1.3
% 0.31/0.32 % (2632263)Termination reason: Refutation not found, incomplete strategy
% 0.31/0.35 % (2632263)Time elapsed: 0.006 s
% 0.31/0.35 % (2632263)Peak memory usage: 12 MB
% 0.31/0.35 % (2632263)Instructions burned: 9 (million)
% 0.31/0.35 % (2632263)------------------------------
% 0.31/0.35 % (2632263)------------------------------
% 0.31/0.35 % (2632261)Instruction limit reached!
% 0.31/0.35 % (2632261)------------------------------
% 0.31/0.35 % (2632261)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.35 % (2632261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.35 % (2632261)CaDiCaL version: 2.1.3
% 0.31/0.35 % (2632261)Termination reason: Instruction limit
% 0.31/0.35 % (2632261)Termination phase: Saturation
% 0.31/0.35 % (2632261)Time elapsed: 0.018 s
% 0.31/0.35 % (2632261)Peak memory usage: 12 MB
% 0.31/0.35 % (2632261)Instructions burned: 20 (million)
% 0.31/0.35 % (2632265)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=4025133431:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.31/0.35 % (2632266)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=2338851899:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.31/0.35 % (2632275)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.31/0.35 % (2632275)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3769274069:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.31/0.35 % (2632276)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1456286911:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.31/0.35 % (2632278)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=2715987597:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.31/0.35 % (2632273)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3014242574:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.31/0.35 % (2632277)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
% 0.31/0.35 % (2632277)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.31/0.35 % (2632275)Instruction limit reached!
% 0.31/0.35 % (2632275)------------------------------
% 0.31/0.35 % (2632275)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.35 % (2632275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.35 % (2632275)CaDiCaL version: 2.1.3
% 0.31/0.35 % (2632275)Termination reason: Instruction limit
% 0.31/0.35 % (2632275)Termination phase: Saturation
% 0.31/0.35 % (2632275)Time elapsed: 0.005 s
% 0.31/0.35 % (2632275)Peak memory usage: 12 MB
% 0.31/0.35 % (2632275)Instructions burned: 9 (million)
% 0.31/0.35 % (2632266)Refutation not found, incomplete strategy
% 0.31/0.35 % (2632266)------------------------------
% 0.31/0.35 % (2632266)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.35 % (2632266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.35 % (2632266)CaDiCaL version: 2.1.3
% 0.31/0.35 % (2632266)Termination reason: Refutation not found, incomplete strategy
% 0.31/0.35 % (2632266)Time elapsed: 0.013 s
% 0.31/0.35 % (2632266)Peak memory usage: 12 MB
% 0.31/0.35 % (2632266)Instructions burned: 11 (million)
% 0.31/0.35 % (2632273)Instruction limit reached!
% 0.31/0.35 % (2632273)------------------------------
% 0.31/0.35 % (2632273)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.35 % (2632273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.35 % (2632273)CaDiCaL version: 2.1.3
% 0.31/0.35 % (2632273)Termination reason: Instruction limit
% 0.31/0.35 % (2632273)Termination phase: Saturation
% 0.31/0.35 % (2632273)Time elapsed: 0.004 s
% 0.31/0.35 % (2632273)Peak memory usage: 12 MB
% 0.31/0.35 % (2632273)Instructions burned: 5 (million)
% 0.31/0.35 % (2632266)------------------------------
% 0.31/0.35 % (2632266)------------------------------
% 0.31/0.35 % (2632277)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3763311061:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.31/0.37 % (2632278)Refutation not found, incomplete strategy
% 0.31/0.37 % (2632278)------------------------------
% 0.31/0.37 % (2632278)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.37 % (2632278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.37 % (2632278)CaDiCaL version: 2.1.3
% 0.31/0.37 % (2632278)Termination reason: Refutation not found, incomplete strategy
% 0.31/0.37 % (2632278)Time elapsed: 0.006 s
% 0.31/0.37 % (2632278)Peak memory usage: 12 MB
% 0.31/0.37 % (2632278)Instructions burned: 23 (million)
% 0.31/0.37 % (2632278)------------------------------
% 0.31/0.37 % (2632278)------------------------------
% 0.31/0.37 % (2632276)Instruction limit reached!
% 0.31/0.37 % (2632276)------------------------------
% 0.31/0.37 % (2632276)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.37 % (2632276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.37 % (2632276)CaDiCaL version: 2.1.3
% 0.31/0.37 % (2632276)Termination reason: Instruction limit
% 0.31/0.37 % (2632276)Termination phase: Saturation
% 0.31/0.37 % (2632276)Time elapsed: 0.011 s
% 0.31/0.37 % (2632276)Peak memory usage: 12 MB
% 0.31/0.37 % (2632276)Instructions burned: 13 (million)
% 0.31/0.37 % (2632290)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1729194578:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.31/0.37 % (2632287)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.31/0.37 % (2632285)lrs+10_1_si=on:cs=on:random_seed=2211664873:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.31/0.37 % (2632290)Refutation not found, incomplete strategy
% 0.31/0.37 % (2632290)------------------------------
% 0.31/0.37 % (2632290)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.37 % (2632290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.37 % (2632290)CaDiCaL version: 2.1.3
% 0.31/0.37 % (2632290)Termination reason: Refutation not found, incomplete strategy
% 0.31/0.37 % (2632290)Time elapsed: 0.003 s
% 0.31/0.37 % (2632290)Peak memory usage: 12 MB
% 0.31/0.37 % (2632290)Instructions burned: 9 (million)
% 0.31/0.37 % (2632277)Instruction limit reached!
% 0.31/0.37 % (2632277)------------------------------
% 0.31/0.37 % (2632277)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.37 % (2632290)------------------------------
% 0.31/0.37 % (2632290)------------------------------
% 0.31/0.37 % (2632277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.37 % (2632277)CaDiCaL version: 2.1.3
% 0.31/0.37 % (2632277)Termination reason: Instruction limit
% 0.31/0.37 % (2632277)Termination phase: Saturation
% 0.31/0.37 % (2632277)Time elapsed: 0.018 s
% 0.31/0.37 % (2632277)Peak memory usage: 12 MB
% 0.31/0.37 % (2632277)Instructions burned: 28 (million)
% 0.31/0.37 % (2632287)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=4155253169:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.31/0.37 % (2632289)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1694469938:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.31/0.37 % (2632288)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2480621208:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.31/0.37 % (2632287)Instruction limit reached!
% 0.31/0.37 % (2632287)------------------------------
% 0.31/0.37 % (2632287)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.37 % (2632287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.37 % (2632287)CaDiCaL version: 2.1.3
% 0.31/0.37 % (2632287)Termination reason: Instruction limit
% 0.31/0.37 % (2632287)Termination phase: Saturation
% 0.31/0.37 % (2632287)Time elapsed: 0.002 s
% 0.31/0.37 % (2632287)Peak memory usage: 12 MB
% 0.31/0.37 % (2632287)Instructions burned: 3 (million)
% 0.31/0.37 % (2632285)Instruction limit reached!
% 0.31/0.37 % (2632285)------------------------------
% 0.31/0.37 % (2632285)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.39 % (2632285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.39 % (2632285)CaDiCaL version: 2.1.3
% 0.31/0.39 % (2632285)Termination reason: Instruction limit
% 0.31/0.39 % (2632285)Termination phase: Saturation
% 0.31/0.39 % (2632285)Time elapsed: 0.005 s
% 0.31/0.39 % (2632285)Peak memory usage: 11 MB
% 0.31/0.39 % (2632285)Instructions burned: 9 (million)
% 0.31/0.39 % (2632289)Refutation not found, incomplete strategy
% 0.31/0.39 % (2632289)------------------------------
% 0.31/0.39 % (2632289)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.39 % (2632289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.39 % (2632289)CaDiCaL version: 2.1.3
% 0.31/0.39 % (2632289)Termination reason: Refutation not found, incomplete strategy
% 0.31/0.39 % (2632289)Time elapsed: 0.005 s
% 0.31/0.39 % (2632289)Peak memory usage: 12 MB
% 0.31/0.39 % (2632289)Instructions burned: 7 (million)
% 0.31/0.39 % (2632289)------------------------------
% 0.31/0.39 % (2632289)------------------------------
% 0.31/0.39 % (2632288)Refutation not found, incomplete strategy
% 0.31/0.39 % (2632288)------------------------------
% 0.31/0.39 % (2632288)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.39 % (2632288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.39 % (2632288)CaDiCaL version: 2.1.3
% 0.31/0.39 % (2632288)Termination reason: Refutation not found, incomplete strategy
% 0.31/0.39 % (2632288)Time elapsed: 0.006 s
% 0.31/0.39 % (2632288)Peak memory usage: 12 MB
% 0.31/0.39 % (2632288)Instructions burned: 10 (million)
% 0.31/0.39 % (2632288)------------------------------
% 0.31/0.39 % (2632288)------------------------------
% 0.31/0.39 % (2632294)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3378048067:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.31/0.39 % (2632265)Instruction limit reached!
% 0.31/0.39 % (2632265)------------------------------
% 0.31/0.39 % (2632265)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.39 % (2632265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.39 % (2632265)CaDiCaL version: 2.1.3
% 0.31/0.39 % (2632265)Termination reason: Instruction limit
% 0.31/0.39 % (2632265)Termination phase: Saturation
% 0.31/0.39 % (2632265)Time elapsed: 0.046 s
% 0.31/0.39 % (2632265)Peak memory usage: 13 MB
% 0.31/0.39 % (2632265)Instructions burned: 75 (million)
% 0.31/0.39 % (2632294)Refutation not found, incomplete strategy
% 0.31/0.39 % (2632294)------------------------------
% 0.31/0.39 % (2632294)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.39 % (2632294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.39 % (2632294)CaDiCaL version: 2.1.3
% 0.31/0.39 % (2632294)Termination reason: Refutation not found, incomplete strategy
% 0.31/0.39 % (2632294)Time elapsed: 0.003 s
% 0.31/0.39 % (2632294)Peak memory usage: 12 MB
% 0.31/0.39 % (2632294)Instructions burned: 9 (million)
% 0.31/0.39 % (2632294)------------------------------
% 0.31/0.39 % (2632294)------------------------------
% 0.31/0.39 % (2632298)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1299646372:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/14Mi)
% 0.31/0.39 % (2632299)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1198712999:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.31/0.39 % (2632304)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.31/0.39 % (2632304)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.31/0.39 % (2632295)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3631948837:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/327Mi)
% 0.31/0.39 % (2632304)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=1384224993:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.31/0.39 % (2632299)Instruction limit reached!
% 0.31/0.39 % (2632299)------------------------------
% 1.06/0.42 % (2632299)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.06/0.42 % (2632299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.06/0.42 % (2632299)CaDiCaL version: 2.1.3
% 1.06/0.42 % (2632299)Termination reason: Instruction limit
% 1.06/0.42 % (2632299)Termination phase: Saturation
% 1.06/0.42 % (2632299)Time elapsed: 0.002 s
% 1.06/0.42 % (2632299)Peak memory usage: 12 MB
% 1.06/0.42 % (2632299)Instructions burned: 2 (million)
% 1.06/0.42 % (2632300)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1252665954:i=26:ep=R:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/26Mi)
% 1.06/0.42 % (2632301)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=2937915665:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/23Mi)
% 1.06/0.42 % (2632298)Instruction limit reached!
% 1.06/0.42 % (2632298)------------------------------
% 1.06/0.42 % (2632298)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.06/0.42 % (2632298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.06/0.42 % (2632298)CaDiCaL version: 2.1.3
% 1.06/0.42 % (2632298)Termination reason: Instruction limit
% 1.06/0.42 % (2632298)Termination phase: Saturation
% 1.06/0.42 % (2632298)Time elapsed: 0.008 s
% 1.06/0.42 % (2632298)Peak memory usage: 12 MB
% 1.06/0.42 % (2632298)Instructions burned: 14 (million)
% 1.06/0.42 % (2632304)Instruction limit reached!
% 1.06/0.42 % (2632304)------------------------------
% 1.06/0.42 % (2632304)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.06/0.42 % (2632304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.06/0.42 % (2632304)CaDiCaL version: 2.1.3
% 1.06/0.42 % (2632304)Termination reason: Instruction limit
% 1.06/0.42 % (2632304)Termination phase: Saturation
% 1.06/0.42 % (2632304)Time elapsed: 0.005 s
% 1.06/0.42 % (2632304)Peak memory usage: 12 MB
% 1.06/0.42 % (2632304)Instructions burned: 17 (million)
% 1.06/0.42 % (2632295)Refutation not found, incomplete strategy
% 1.06/0.42 % (2632295)------------------------------
% 1.06/0.42 % (2632295)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.06/0.42 % (2632295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.06/0.42 % (2632295)CaDiCaL version: 2.1.3
% 1.06/0.42 % (2632295)Termination reason: Refutation not found, incomplete strategy
% 1.06/0.42 % (2632295)Time elapsed: 0.008 s
% 1.06/0.42 % (2632295)Peak memory usage: 12 MB
% 1.06/0.42 % (2632295)Instructions burned: 9 (million)
% 1.06/0.42 % (2632295)------------------------------
% 1.06/0.42 % (2632295)------------------------------
% 1.06/0.42 % (2632303)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3750622897:cond=on:i=60:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/60Mi)
% 1.06/0.42 % (2632300)Refutation not found, incomplete strategy
% 1.06/0.42 % (2632300)------------------------------
% 1.06/0.42 % (2632300)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.06/0.42 % (2632300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.06/0.42 % (2632300)CaDiCaL version: 2.1.3
% 1.06/0.42 % (2632300)Termination reason: Refutation not found, incomplete strategy
% 1.06/0.42 % (2632300)Time elapsed: 0.013 s
% 1.06/0.42 % (2632300)Peak memory usage: 12 MB
% 1.06/0.42 % (2632300)Instructions burned: 26 (million)
% 1.06/0.42 % (2632301)Instruction limit reached!
% 1.06/0.42 % (2632301)------------------------------
% 1.06/0.42 % (2632301)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.06/0.42 % (2632301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.06/0.42 % (2632301)CaDiCaL version: 2.1.3
% 1.06/0.42 % (2632301)Termination reason: Instruction limit
% 1.06/0.42 % (2632301)Termination phase: Saturation
% 1.06/0.42 % (2632301)Time elapsed: 0.012 s
% 1.06/0.42 % (2632301)Peak memory usage: 12 MB
% 1.06/0.42 % (2632301)Instructions burned: 23 (million)
% 1.06/0.42 % (2632300)------------------------------
% 1.06/0.42 % (2632300)------------------------------
% 1.06/0.42 % (2632313)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=2145402496:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.06/0.42 % (2632303)Refutation not found, incomplete strategy
% 1.06/0.42 % (2632303)------------------------------
% 1.06/0.42 % (2632303)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.06/0.42 % (2632303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.06/0.44 % (2632303)CaDiCaL version: 2.1.3
% 1.06/0.44 % (2632313)Instruction limit reached!
% 1.06/0.44 % (2632313)------------------------------
% 1.06/0.44 % (2632313)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.06/0.44 % (2632303)Termination reason: Refutation not found, incomplete strategy
% 1.06/0.44 % (2632303)Time elapsed: 0.009 s
% 1.06/0.44 % (2632313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.06/0.44 % (2632313)CaDiCaL version: 2.1.3
% 1.06/0.44 % (2632313)Termination reason: Instruction limit
% 1.06/0.44 % (2632313)Termination phase: Saturation
% 1.06/0.44 % (2632313)Time elapsed: 0.002 s
% 1.06/0.44 % (2632313)Peak memory usage: 12 MB
% 1.06/0.44 % (2632313)Instructions burned: 10 (million)
% 1.06/0.44 % (2632303)Peak memory usage: 12 MB
% 1.06/0.44 % (2632303)Instructions burned: 8 (million)
% 1.06/0.44 % (2632312)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=4267912666:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.06/0.44 % (2632303)------------------------------
% 1.06/0.44 % (2632303)------------------------------
% 1.06/0.44 % (2632309)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.06/0.44 % (2632309)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=3494876952:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.06/0.44 % (2632314)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=4147615512:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.06/0.44 % (2632316)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=656597505:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.06/0.44 % (2632321)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=312698923:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 1.06/0.44 % (2632309)Instruction limit reached!
% 1.06/0.44 % (2632309)------------------------------
% 1.06/0.44 % (2632309)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.06/0.44 % (2632309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.06/0.44 % (2632309)CaDiCaL version: 2.1.3
% 1.06/0.44 % (2632309)Termination reason: Instruction limit
% 1.06/0.44 % (2632309)Termination phase: Saturation
% 1.06/0.44 % (2632309)Time elapsed: 0.005 s
% 1.06/0.44 % (2632309)Peak memory usage: 12 MB
% 1.06/0.44 % (2632309)Instructions burned: 9 (million)
% 1.06/0.44 % (2632321)Refutation not found, incomplete strategy
% 1.06/0.44 % (2632321)------------------------------
% 1.06/0.44 % (2632321)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.06/0.44 % (2632321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.06/0.44 % (2632321)CaDiCaL version: 2.1.3
% 1.06/0.44 % (2632321)Termination reason: Refutation not found, incomplete strategy
% 1.06/0.44 % (2632321)Time elapsed: 0.002 s
% 1.06/0.44 % (2632321)Peak memory usage: 12 MB
% 1.06/0.44 % (2632321)Instructions burned: 8 (million)
% 1.06/0.44 % (2632321)------------------------------
% 1.06/0.44 % (2632321)------------------------------
% 1.06/0.44 % (2632312)Instruction limit reached!
% 1.06/0.44 % (2632312)------------------------------
% 1.06/0.44 % (2632312)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.06/0.44 % (2632312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.06/0.44 % (2632312)CaDiCaL version: 2.1.3
% 1.06/0.44 % (2632312)Termination reason: Instruction limit
% 1.06/0.44 % (2632312)Termination phase: Saturation
% 1.06/0.44 % (2632312)Time elapsed: 0.016 s
% 1.06/0.44 % (2632312)Peak memory usage: 12 MB
% 1.06/0.44 % (2632312)Instructions burned: 32 (million)
% 1.06/0.44 % (2632316)Instruction limit reached!
% 1.06/0.44 % (2632316)------------------------------
% 1.06/0.44 % (2632316)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.06/0.44 % (2632316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.06/0.44 % (2632316)CaDiCaL version: 2.1.3
% 1.06/0.44 % (2632316)Termination reason: Instruction limit
% 1.06/0.44 % (2632316)Termination phase: Saturation
% 1.06/0.44 % (2632316)Time elapsed: 0.011 s
% 1.06/0.44 % (2632316)Peak memory usage: 12 MB
% 1.06/0.45 % (2632316)Instructions burned: 20 (million)
% 1.06/0.45 % (2632319)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1339478894:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.06/0.45 % (2632317)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=388152057:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.06/0.45 % (2632314)Instruction limit reached!
% 1.06/0.45 % (2632314)------------------------------
% 1.06/0.45 % (2632314)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.06/0.45 % (2632314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.06/0.45 % (2632314)CaDiCaL version: 2.1.3
% 1.06/0.45 % (2632314)Termination reason: Instruction limit
% 1.06/0.45 % (2632314)Termination phase: Saturation
% 1.06/0.45 % (2632314)Time elapsed: 0.014 s
% 1.06/0.45 % (2632314)Peak memory usage: 12 MB
% 1.06/0.45 % (2632314)Instructions burned: 24 (million)
% 1.06/0.45 % (2632327)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.06/0.45 % (2632327)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3390878559:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2998 on theBenchmark for (2998ds/7Mi)
% 1.06/0.45 % (2632327)Instruction limit reached!
% 1.06/0.45 % (2632327)------------------------------
% 1.06/0.45 % (2632327)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.06/0.45 % (2632327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.06/0.45 % (2632327)CaDiCaL version: 2.1.3
% 1.06/0.45 % (2632327)Termination reason: Instruction limit
% 1.06/0.45 % (2632327)Termination phase: Saturation
% 1.06/0.45 % (2632327)Time elapsed: 0.003 s
% 1.06/0.45 % (2632327)Peak memory usage: 12 MB
% 1.06/0.45 % (2632327)Instructions burned: 10 (million)
% 1.06/0.45 % (2632328)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=561796096:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/181Mi)
% 1.06/0.45 % (2632317)Refutation not found, incomplete strategy
% 1.06/0.45 % (2632317)------------------------------
% 1.06/0.45 % (2632317)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.06/0.45 % (2632317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.06/0.45 % (2632317)CaDiCaL version: 2.1.3
% 1.06/0.45 % (2632317)Termination reason: Refutation not found, incomplete strategy
% 1.06/0.45 % (2632317)Time elapsed: 0.015 s
% 1.06/0.45 % (2632317)Peak memory usage: 12 MB
% 1.06/0.45 % (2632317)Instructions burned: 14 (million)
% 1.06/0.45 % (2632317)------------------------------
% 1.06/0.45 % (2632317)------------------------------
% 1.06/0.45 % (2632334)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=463378975:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2998 on theBenchmark for (2998ds/22Mi)
% 1.06/0.45 % (2632332)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 1.06/0.45 % (2632332)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=348966649:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2998 on theBenchmark for (2998ds/6Mi)
% 1.06/0.45 % (2632326)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1419434062:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 1.06/0.45 % (2632334)Instruction limit reached!
% 1.06/0.45 % (2632334)------------------------------
% 1.06/0.45 % (2632334)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.06/0.45 % (2632334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.06/0.45 % (2632334)CaDiCaL version: 2.1.3
% 1.06/0.45 % (2632334)Termination reason: Instruction limit
% 1.06/0.45 % (2632334)Termination phase: Saturation
% 1.06/0.45 % (2632334)Time elapsed: 0.006 s
% 1.06/0.45 % (2632334)Peak memory usage: 12 MB
% 1.06/0.45 % (2632334)Instructions burned: 23 (million)
% 1.06/0.45 % (2632332)Instruction limit reached!
% 1.06/0.45 % (2632332)------------------------------
% 1.06/0.45 % (2632332)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.06/0.45 % (2632332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.06/0.45 % (2632332)CaDiCaL version: 2.1.3
% 1.06/0.45 % (2632332)Termination reason: Instruction limit
% 1.06/0.45 % (2632332)Termination phase: Saturation
% 1.06/0.45 % (2632332)Time elapsed: 0.004 s
% 1.06/0.45 % (2632332)Peak memory usage: 12 MB
% 1.06/0.45 % (2632332)Instructions burned: 6 (million)
% 1.06/0.45 % (2632340)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=2248441308:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/316Mi)
% 1.06/0.45 % (2632337)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1699882992:i=19:add=on:rtra=on_2998 on theBenchmark for (2998ds/19Mi)
% 1.06/0.45 % (2632331)dis+10_8_sil=128000:plsq=on:plsqc=1:si=on:sp=unary_first:sos=on:lma=off:plsqr=64,1:uwa=interpreted_only:foolp=on:random_seed=282251888:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/169Mi)
% 1.06/0.45 % (2632340)Refutation not found, incomplete strategy
% 1.06/0.45 % (2632340)------------------------------
% 1.06/0.45 % (2632340)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.06/0.45 % (2632340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.06/0.45 % (2632340)CaDiCaL version: 2.1.3
% 1.06/0.45 % (2632340)Termination reason: Refutation not found, incomplete strategy
% 1.06/0.45 % (2632340)Time elapsed: 0.009 s
% 1.06/0.45 % (2632340)Peak memory usage: 12 MB
% 1.06/0.45 % (2632340)Instructions burned: 31 (million)
% 1.06/0.45 % (2632340)------------------------------
% 1.06/0.45 % (2632340)------------------------------
% 1.06/0.45 % (2632337)Refutation not found, incomplete strategy
% 1.06/0.45 % (2632337)------------------------------
% 1.06/0.45 % (2632337)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.06/0.45 % (2632337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.06/0.45 % (2632337)CaDiCaL version: 2.1.3
% 1.06/0.45 % (2632337)Termination reason: Refutation not found, incomplete strategy
% 1.06/0.45 % (2632337)Time elapsed: 0.008 s
% 1.06/0.45 % (2632337)Peak memory usage: 12 MB
% 1.06/0.45 % (2632337)Instructions burned: 13 (million)
% 1.06/0.45 % (2632337)------------------------------
% 1.06/0.45 % (2632337)------------------------------
% 1.06/0.45 % (2632341)dis+1004_4:1_slsqr=1,2:to=lpo:plsq=on:fde=unused:e2e=on:si=on:spb=goal_then_units:acc=on:urr=on:uwa=off:fd=preordered:s2agt=16:slsqc=1:slsq=on:random_seed=8029445:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2998 on theBenchmark for (2998ds/853Mi)
% 1.06/0.45 % (2632331)Refutation not found, incomplete strategy
% 1.06/0.45 % (2632331)------------------------------
% 1.06/0.45 % (2632331)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.06/0.45 % (2632331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.06/0.45 % (2632331)CaDiCaL version: 2.1.3
% 1.06/0.45 % (2632331)Termination reason: Refutation not found, incomplete strategy
% 1.06/0.45 % (2632331)Time elapsed: 0.010 s
% 1.06/0.45 % (2632331)Peak memory usage: 12 MB
% 1.06/0.45 % (2632331)Instructions burned: 11 (million)
% 1.06/0.45 % (2632331)------------------------------
% 1.06/0.45 % (2632331)------------------------------
% 1.06/0.45 % (2632326)Instruction limit reached!
% 1.06/0.45 % (2632326)------------------------------
% 1.06/0.45 % (2632326)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.06/0.45 % (2632326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.06/0.45 % (2632326)CaDiCaL version: 2.1.3
% 1.06/0.45 % (2632341)Refutation not found, incomplete strategy
% 1.06/0.45 % (2632341)------------------------------
% 1.06/0.45 % (2632341)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.06/0.45 % (2632326)Termination reason: Instruction limit
% 1.06/0.45 % (2632326)Termination phase: Saturation
% 1.06/0.45 % (2632326)Time elapsed: 0.028 s
% 1.06/0.45 % (2632326)Peak memory usage: 12 MB
% 1.06/0.45 % (2632341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.06/0.45 % (2632326)Instructions burned: 43 (million)
% 1.06/0.45 % (2632341)CaDiCaL version: 2.1.3
% 1.06/0.45 % (2632341)Termination reason: Refutation not found, incomplete strategy
% 1.06/0.45 % (2632341)Time elapsed: 0.005 s
% 1.06/0.45 % (2632341)Peak memory usage: 12 MB
% 1.06/0.45 % (2632341)Instructions burned: 7 (million)
% 1.06/0.45 % (2632341)------------------------------
% 1.06/0.45 % (2632341)------------------------------
% 1.06/0.45 % (2632319) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2632255-2632319"...
% 1.06/0.45 % (2632345)dis+1003_3:4_to=kbo:plsq=on:prc=on:sims=off:e2e=on:si=on:spb=intro:acc=on:urr=on:uwa=off:foolp=on:s2agt=32:slsqc=3:slsq=on:random_seed=1782881499:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2997 on theBenchmark for (2997ds/45Mi)
% 1.06/0.45 % (2632319)...printing done.
% 1.06/0.45 % (2632345)Refutation not found, incomplete strategy
% 1.06/0.45 % (2632345)------------------------------
% 1.06/0.45 % (2632345)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.06/0.45 % (2632345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.06/0.45 % (2632345)CaDiCaL version: 2.1.3
% 1.06/0.45 % (2632345)Termination reason: Refutation not found, incomplete strategy
% 1.06/0.45 % (2632345)Time elapsed: 0.002 s
% 1.06/0.45 % (2632345)Peak memory usage: 12 MB
% 1.06/0.45 % (2632345)Instructions burned: 6 (million)
% 1.06/0.45 % (2632319)Refutation found. Thanks to Tanya!
% 1.06/0.45 % SZS status Theorem for theBenchmark
% 1.06/0.45 % SZS output start Proof for theBenchmark
% 1.06/0.45 thf(type_def_5, type, a: $tType).
% 1.06/0.45 thf(type_def_6, type, sTfun: ($tType * $tType) > $tType).
% 1.06/0.45 thf(func_def_1, type, db0: !>[X0: $tType]:(X0)).
% 1.06/0.45 thf(func_def_2, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 1.06/0.45 thf(func_def_3, type, sK0: ((a > (a > a > a) > a) > a)).
% 1.06/0.45 thf(func_def_4, type, sK1: ((a > (a > a > a) > a) > a)).
% 1.06/0.45 thf(func_def_5, type, sK2: ((a > (a > a > a) > a) > a)).
% 1.06/0.45 thf(func_def_6, type, sK3: ((a > (a > a > a) > a) > a > a > a > a)).
% 1.06/0.45 thf(func_def_7, type, sK4: ((a > (a > a > a) > a) > a > a > a > a)).
% 1.06/0.45 thf(func_def_8, type, db1: !>[X0: $tType]:(X0)).
% 1.06/0.45 thf(func_def_9, type, db2: !>[X0: $tType]:(X0)).
% 1.06/0.45 thf(func_def_10, type, db3: !>[X0: $tType]:(X0)).
% 1.06/0.45 thf(func_def_11, type, db4: !>[X0: $tType]:(X0)).
% 1.06/0.45 thf(func_def_13, type, sK6: ((a > (a > a > a) > a) > a)).
% 1.06/0.45 thf(func_def_14, type, sK7: ((a > (a > a > a) > a) > a > a > a)).
% 1.06/0.45 thf(f1,conjecture,(
% 1.06/0.45 ? [X0 : (a > (a > a > a) > a)] : (! [X1 : a,X2 : a] : ((((X0 @ X1)) = ((X0 @ X2))) => (X1 = X2)) & ! [X3 : a] : ? [X5 : a,X4 : a] : (((X0 @ X3)) = (^[X6 : (a > a > a)] : ((X6 @ X3 @ X4)))))),
% 1.06/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM33_pme)).
% 1.06/0.45 thf(f2,negated_conjecture,(
% 1.06/0.45 ~ ? [X0 : (a > (a > a > a) > a)] : (! [X1 : a,X2 : a] : ((((X0 @ X1)) = ((X0 @ X2))) => (X1 = X2)) & ! [X3 : a] : ? [X5 : a,X4 : a] : (((X0 @ X3)) = (^[X6 : (a > a > a)] : ((X6 @ X3 @ X4)))))),
% 1.06/0.45 inference(negated_conjecture,[status(cth)],[f1])).
% 1.06/0.45 thf(f3,plain,(
% 1.06/0.45 ~ ? [X0 : (a > (a > a > a) > a)] : (! [X1 : a,X2 : a] : ((((X0 @ X1)) = ((X0 @ X2))) => (X1 = X2)) & ! [X3 : a] : ? [X5 : a] : (((X0 @ X3)) = (^[X6 : (a > a > a)] : ((X6 @ X3 @ X5)))))),
% 1.06/0.45 inference(rectify,[],[f2])).
% 1.06/0.45 thf(f4,plain,(
% 1.06/0.45 ~ ? [X0 : (a > (a > a > a) > a)] : (! [X1 : a,X2 : a] : ((((X0 @ X1)) = ((X0 @ X2))) => (X1 = X2)) & ! [X3 : a] : ? [X5 : a] : (((X0 @ X3)) = (^[Y0 : a > a > a]: (Y0 @ X3 @ X5))))),
% 1.06/0.45 inference(fool_elimination,[],[f3])).
% 1.06/0.45 thf(f5,plain,(
% 1.06/0.45 ~ ? [X0 : (a > (a > a > a) > a)] : (! [X3 : a] : ? [X4 : a] : (((X0 @ X3)) = (^[Y0 : a > a > a]: (Y0 @ X3 @ X4))) & ! [X1 : a,X2 : a] : ((((X0 @ X1)) = ((X0 @ X2))) => (X1 = X2)))),
% 1.06/0.45 inference(rectify,[],[f4])).
% 1.06/0.45 thf(f6,plain,(
% 1.06/0.45 ! [X0 : (a > (a > a > a) > a)] : (? [X1 : a,X2 : a] : ((((X0 @ X1)) = ((X0 @ X2))) & (X1 != X2)) | ? [X3 : a] : ! [X4 : a] : (((X0 @ X3)) != (^[Y0 : a > a > a]: (Y0 @ X3 @ X4))))),
% 1.06/0.45 inference(ennf_transformation,[],[f5])).
% 1.06/0.45 thf(f7,plain,(
% 1.06/0.45 ! [X0 : (a > (a > a > a) > a)] : (((((X0 @ (sK1 @ X0))) = ((X0 @ (sK0 @ X0)))) & (((sK0 @ X0)) != ((sK1 @ X0)))) | ! [X4 : a] : ((^[Y0 : a > a > a]: (Y0 @ (sK2 @ X0) @ X4)) != ((X0 @ (sK2 @ X0)))))),
% 1.06/0.45 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP,vAPP,vAPP]),skolemize(X3,sK2 @ X0),skolemize(X3,sK2 @ X0),skolemize(X3,sK2 @ X0)],[f6])).
% 1.06/0.45 thf(f8,plain,(
% 1.06/0.45 ( ! [X0 : (a > (a > a > a) > a),X4 : a] : (((^[Y0 : a > a > a]: (Y0 @ (sK2 @ X0) @ X4)) != ((X0 @ (sK2 @ X0)))) | (((sK0 @ X0)) != ((sK1 @ X0)))) )),
% 1.06/0.45 inference(cnf_transformation,[],[f7])).
% 1.06/0.45 thf(f9,plain,(
% 1.06/0.45 ( ! [X0 : (a > (a > a > a) > a),X4 : a] : (((^[Y0 : a > a > a]: (Y0 @ (sK2 @ X0) @ X4)) != ((X0 @ (sK2 @ X0)))) | (((X0 @ (sK1 @ X0))) = ((X0 @ (sK0 @ X0))))) )),
% 1.06/0.45 inference(cnf_transformation,[],[f7])).
% 1.06/0.45 thf(f10,plain,(
% 1.06/0.45 ( ! [X0 : (a > (a > a > a) > a),X4 : a] : ((((sK0 @ X0)) != ((sK1 @ X0))) | ((((^[Y0 : a > a > a]: (Y0 @ (sK2 @ X0) @ X4)) @ (sK3 @ X0 @ X4))) != ((X0 @ (sK2 @ X0) @ (sK3 @ X0 @ X4))))) )),
% 1.06/0.45 inference(negative_extensionality,[],[f8])).
% 1.06/0.45 thf(f11,plain,(
% 1.06/0.45 ( ! [X0 : (a > (a > a > a) > a),X4 : a] : ((((X0 @ (sK2 @ X0) @ (sK3 @ X0 @ X4))) != ((sK3 @ X0 @ X4 @ (sK2 @ X0) @ X4))) | (((sK0 @ X0)) != ((sK1 @ X0)))) )),
% 1.06/0.45 inference(beta-eta_normalization,[],[f10])).
% 1.06/0.45 thf(f12,plain,(
% 1.06/0.45 ( ! [X0 : (a > (a > a > a) > a),X4 : a] : ((((X0 @ (sK1 @ X0))) = ((X0 @ (sK0 @ X0)))) | ((((^[Y0 : a > a > a]: (Y0 @ (sK2 @ X0) @ X4)) @ (sK4 @ X0 @ X4))) != ((X0 @ (sK2 @ X0) @ (sK4 @ X0 @ X4))))) )),
% 1.06/0.45 inference(negative_extensionality,[],[f9])).
% 1.06/0.45 thf(f13,plain,(
% 1.06/0.45 ( ! [X0 : (a > (a > a > a) > a),X4 : a] : ((((X0 @ (sK2 @ X0) @ (sK4 @ X0 @ X4))) != ((sK4 @ X0 @ X4 @ (sK2 @ X0) @ X4))) | (((X0 @ (sK1 @ X0))) = ((X0 @ (sK0 @ X0))))) )),
% 1.06/0.45 inference(beta-eta_normalization,[],[f12])).
% 1.06/0.45 thf(f14,plain,(
% 1.06/0.45 ( ! [X0 : (a > (a > a > a) > a),X1 : a] : ((((sK1 @ (^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ ((^[Y2 : a]: ((^[Y3 : a > a > a]: (Y2)))) @ Y0 @ Y1) @ (X0 @ Y0 @ Y1))))))) != ((sK0 @ (^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ ((^[Y2 : a]: ((^[Y3 : a > a > a]: (Y2)))) @ Y0 @ Y1) @ (X0 @ Y0 @ Y1)))))))) | ((^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ ((^[Y2 : a]: ((^[Y3 : a > a > a]: (Y2)))) @ Y0 @ Y1) @ (X0 @ Y0 @ Y1))))) != (^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ (X0 @ Y0 @ Y1)))))) | (((X0 @ (sK2 @ (^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ (X0 @ Y0 @ Y1)))))) @ (sK3 @ (^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ (X0 @ Y0 @ Y1))))) @ X1))) != X1)) )),
% 1.06/0.45 inference(equality_resolution,[],[f11])).
% 1.06/0.45 thf(f18,plain,(
% 1.06/0.45 ( ! [X0 : (a > (a > a > a) > a),X1 : a] : (((^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ (X0 @ Y0 @ Y1))))) != (^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ (X0 @ Y0 @ Y1)))))) | (((sK1 @ (^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ (X0 @ Y0 @ Y1))))))) != ((sK0 @ (^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ (X0 @ Y0 @ Y1)))))))) | (((X0 @ (sK2 @ (^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ (X0 @ Y0 @ Y1)))))) @ (sK3 @ (^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ (X0 @ Y0 @ Y1))))) @ X1))) != X1)) )),
% 1.06/0.45 inference(beta-eta_normalization,[],[f14])).
% 1.06/0.45 thf(f19,plain,(
% 1.06/0.45 ( ! [X0 : (a > (a > a > a) > a),X1 : a] : ((((sK1 @ (^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ (X0 @ Y0 @ Y1))))))) != ((sK0 @ (^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ (X0 @ Y0 @ Y1)))))))) | (((X0 @ (sK2 @ (^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ (X0 @ Y0 @ Y1)))))) @ (sK3 @ (^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ (X0 @ Y0 @ Y1))))) @ X1))) != X1)) )),
% 1.06/0.45 inference(trivial_inequality_removal,[],[f18])).
% 1.06/0.45 thf(f24,plain,(
% 1.06/0.45 ( ! [X0 : (a > (a > a > a) > a),X1 : a] : ((((X0 @ (sK2 @ (^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ (X0 @ Y0 @ Y1)))))) @ (sK4 @ (^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ (X0 @ Y0 @ Y1))))) @ X1))) != X1) | ((((^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ ((^[Y2 : a]: ((^[Y3 : a > a > a]: (Y2)))) @ Y0 @ Y1) @ (X0 @ Y0 @ Y1))))) @ (sK1 @ (^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ ((^[Y2 : a]: ((^[Y3 : a > a > a]: (Y2)))) @ Y0 @ Y1) @ (X0 @ Y0 @ Y1)))))))) = (((^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ ((^[Y2 : a]: ((^[Y3 : a > a > a]: (Y2)))) @ Y0 @ Y1) @ (X0 @ Y0 @ Y1))))) @ (sK0 @ (^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ ((^[Y2 : a]: ((^[Y3 : a > a > a]: (Y2)))) @ Y0 @ Y1) @ (X0 @ Y0 @ Y1))))))))) | ((^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ ((^[Y2 : a]: ((^[Y3 : a > a > a]: (Y2)))) @ Y0 @ Y1) @ (X0 @ Y0 @ Y1))))) != (^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ (X0 @ Y0 @ Y1))))))) )),
% 1.06/0.45 inference(equality_resolution,[],[f13])).
% 1.06/0.45 thf(f32,plain,(
% 1.06/0.45 ( ! [X0 : (a > (a > a > a) > a),X1 : a] : (((^[Y0 : a > a > a]: (Y0 @ (sK0 @ (^[Y1 : a]: ((^[Y2 : a > a > a]: (Y2 @ Y1 @ (X0 @ Y1 @ Y2)))))) @ (X0 @ (sK0 @ (^[Y1 : a]: ((^[Y2 : a > a > a]: (Y2 @ Y1 @ (X0 @ Y1 @ Y2)))))) @ Y0))) = (^[Y0 : a > a > a]: (Y0 @ (sK1 @ (^[Y1 : a]: ((^[Y2 : a > a > a]: (Y2 @ Y1 @ (X0 @ Y1 @ Y2)))))) @ (X0 @ (sK1 @ (^[Y1 : a]: ((^[Y2 : a > a > a]: (Y2 @ Y1 @ (X0 @ Y1 @ Y2)))))) @ Y0)))) | (((X0 @ (sK2 @ (^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ (X0 @ Y0 @ Y1)))))) @ (sK4 @ (^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ (X0 @ Y0 @ Y1))))) @ X1))) != X1) | ((^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ (X0 @ Y0 @ Y1))))) != (^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ (X0 @ Y0 @ Y1))))))) )),
% 1.06/0.46 inference(beta-eta_normalization,[],[f24])).
% 1.06/0.46 thf(f33,plain,(
% 1.06/0.46 ( ! [X0 : (a > (a > a > a) > a),X1 : a] : (((^[Y0 : a > a > a]: (Y0 @ (sK0 @ (^[Y1 : a]: ((^[Y2 : a > a > a]: (Y2 @ Y1 @ (X0 @ Y1 @ Y2)))))) @ (X0 @ (sK0 @ (^[Y1 : a]: ((^[Y2 : a > a > a]: (Y2 @ Y1 @ (X0 @ Y1 @ Y2)))))) @ Y0))) = (^[Y0 : a > a > a]: (Y0 @ (sK1 @ (^[Y1 : a]: ((^[Y2 : a > a > a]: (Y2 @ Y1 @ (X0 @ Y1 @ Y2)))))) @ (X0 @ (sK1 @ (^[Y1 : a]: ((^[Y2 : a > a > a]: (Y2 @ Y1 @ (X0 @ Y1 @ Y2)))))) @ Y0)))) | (((X0 @ (sK2 @ (^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ (X0 @ Y0 @ Y1)))))) @ (sK4 @ (^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ (X0 @ Y0 @ Y1))))) @ X1))) != X1)) )),
% 1.06/0.46 inference(trivial_inequality_removal,[],[f32])).
% 1.06/0.46 thf(f34,plain,(
% 1.06/0.46 ( ! [X2 : (a > a > a),X0 : (a > (a > a > a) > a),X1 : a] : ((((X0 @ (sK2 @ (^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ (X0 @ Y0 @ Y1)))))) @ (sK4 @ (^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ (X0 @ Y0 @ Y1))))) @ X1))) != X1) | ((((^[Y0 : a > a > a]: (Y0 @ (sK1 @ (^[Y1 : a]: ((^[Y2 : a > a > a]: (Y2 @ Y1 @ (X0 @ Y1 @ Y2)))))) @ (X0 @ (sK1 @ (^[Y1 : a]: ((^[Y2 : a > a > a]: (Y2 @ Y1 @ (X0 @ Y1 @ Y2)))))) @ Y0))) @ X2)) = (((^[Y0 : a > a > a]: (Y0 @ (sK0 @ (^[Y1 : a]: ((^[Y2 : a > a > a]: (Y2 @ Y1 @ (X0 @ Y1 @ Y2)))))) @ (X0 @ (sK0 @ (^[Y1 : a]: ((^[Y2 : a > a > a]: (Y2 @ Y1 @ (X0 @ Y1 @ Y2)))))) @ Y0))) @ X2)))) )),
% 1.06/0.46 inference(argument_congruence,[],[f33])).
% 1.06/0.46 thf(f41,plain,(
% 1.06/0.46 ( ! [X2 : (a > a > a),X0 : (a > (a > a > a) > a),X1 : a] : ((((X2 @ (sK0 @ (^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ (X0 @ Y0 @ Y1)))))) @ (X0 @ (sK0 @ (^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ (X0 @ Y0 @ Y1)))))) @ X2))) = ((X2 @ (sK1 @ (^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ (X0 @ Y0 @ Y1)))))) @ (X0 @ (sK1 @ (^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ (X0 @ Y0 @ Y1)))))) @ X2)))) | (((X0 @ (sK2 @ (^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ (X0 @ Y0 @ Y1)))))) @ (sK4 @ (^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ (X0 @ Y0 @ Y1))))) @ X1))) != X1)) )),
% 1.06/0.46 inference(beta-eta_normalization,[],[f34])).
% 1.06/0.46 thf(f66,plain,(
% 1.06/0.46 ( ! [X2 : a,X3 : a,X1 : (a > (a > a > a) > a)] : (((((^[Y0 : a]: ((^[Y1 : a]: (Y1)))) @ (sK0 @ (^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ ((^[Y2 : a]: ((^[Y3 : a > a > a]: (Y2)))) @ Y0 @ Y1)))))) @ ((^[Y0 : a]: ((^[Y1 : a > a > a]: (Y0)))) @ (sK0 @ (^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ ((^[Y2 : a]: ((^[Y3 : a > a > a]: (Y2)))) @ Y0 @ Y1)))))) @ (^[Y0 : a]: ((^[Y1 : a]: (Y1))))))) != ((sK0 @ (^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ (X1 @ Y0 @ Y1)))))))) | (((X1 @ (sK2 @ (^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ (X1 @ Y0 @ Y1)))))) @ (sK3 @ (^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ (X1 @ Y0 @ Y1))))) @ X2))) != X2) | ((((^[Y0 : a]: ((^[Y1 : a > a > a]: (Y0)))) @ (sK2 @ (^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ ((^[Y2 : a]: ((^[Y3 : a > a > a]: (Y2)))) @ Y0 @ Y1)))))) @ (sK4 @ (^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ ((^[Y2 : a]: ((^[Y3 : a > a > a]: (Y2)))) @ Y0 @ Y1))))) @ X3))) != X3) | ((^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ (X1 @ Y0 @ Y1))))) != (^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ Y0)))))) )),
% 1.06/0.46 inference(constrained_superposition,[],[f19,f41])).
% 1.06/0.46 thf(f96,plain,(
% 1.06/0.46 ( ! [X2 : a,X3 : a,X1 : (a > (a > a > a) > a)] : (((^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ (X1 @ Y0 @ Y1))))) != (^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ Y0))))) | (((sK0 @ (^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ Y0)))))) != ((sK0 @ (^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ (X1 @ Y0 @ Y1)))))))) | (((X1 @ (sK2 @ (^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ (X1 @ Y0 @ Y1)))))) @ (sK3 @ (^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ (X1 @ Y0 @ Y1))))) @ X2))) != X2) | (((sK2 @ (^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ Y0)))))) != X3)) )),
% 1.06/0.46 inference(beta-eta_normalization,[],[f66])).
% 1.06/0.46 thf(f122,definition,(
% 1.06/0.46 spl5_3 <=> ! [X4 : a] : (((sK2 @ (^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ Y0)))))) != X4)),
% 1.06/0.46 introduced(definition,[new_symbols(definition,[spl5_3])],[avatar_definition])).
% 1.06/0.46 thf(f123,plain,(
% 1.06/0.46 ( ! [X4 : a] : ((((sK2 @ (^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ Y0)))))) != X4)) ) | ~spl5_3),
% 1.06/0.46 inference(avatar_component_clause,[],[f122])).
% 1.06/0.46 thf(f133,definition,(
% 1.06/0.46 spl5_6 <=> ! [X2 : a,X1 : (a > (a > a > a) > a)] : (((^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ (X1 @ Y0 @ Y1))))) != (^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ Y0))))) | (((X1 @ (sK2 @ (^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ (X1 @ Y0 @ Y1)))))) @ (sK3 @ (^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ (X1 @ Y0 @ Y1))))) @ X2))) != X2) | (((sK0 @ (^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ Y0)))))) != ((sK0 @ (^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ (X1 @ Y0 @ Y1)))))))))),
% 1.06/0.46 introduced(definition,[new_symbols(definition,[spl5_6])],[avatar_definition])).
% 1.06/0.46 thf(f134,plain,(
% 1.06/0.46 ( ! [X2 : a,X1 : (a > (a > a > a) > a)] : ((((sK0 @ (^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ Y0)))))) != ((sK0 @ (^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ (X1 @ Y0 @ Y1)))))))) | ((^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ (X1 @ Y0 @ Y1))))) != (^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ Y0))))) | (((X1 @ (sK2 @ (^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ (X1 @ Y0 @ Y1)))))) @ (sK3 @ (^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ (X1 @ Y0 @ Y1))))) @ X2))) != X2)) ) | ~spl5_6),
% 1.06/0.46 inference(avatar_component_clause,[],[f133])).
% 1.06/0.46 thf(f135,plain,(
% 1.06/0.46 spl5_6 | spl5_3),
% 1.06/0.46 inference(avatar_split_clause,[],[f96,f122,f133])).
% 1.06/0.46 thf(f138,plain,(
% 1.06/0.46 $false | ~spl5_3),
% 1.06/0.46 inference(equality_resolution,[],[f123])).
% 1.06/0.46 thf(f139,plain,(
% 1.06/0.46 ~spl5_3),
% 1.06/0.46 inference(avatar_contradiction_clause,[],[f138])).
% 1.06/0.46 thf(f164,plain,(
% 1.06/0.46 ( ! [X0 : (a > (a > a > a) > a),X1 : a] : (((^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ Y0)))) != (^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ (X0 @ Y0 @ Y1)))))) | ((^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ Y0)))) != (^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ (X0 @ Y0 @ Y1)))))) | (((X0 @ (sK2 @ (^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ (X0 @ Y0 @ Y1)))))) @ (sK3 @ (^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ (X0 @ Y0 @ Y1))))) @ X1))) != X1)) ) | ~spl5_6),
% 1.06/0.46 inference(equality_resolution,[],[f134])).
% 1.06/0.46 thf(f165,plain,(
% 1.06/0.46 ( ! [X0 : (a > (a > a > a) > a),X1 : a] : (((^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ Y0)))) != (^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ (X0 @ Y0 @ Y1)))))) | (((X0 @ (sK2 @ (^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ (X0 @ Y0 @ Y1)))))) @ (sK3 @ (^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ (X0 @ Y0 @ Y1))))) @ X1))) != X1)) ) | ~spl5_6),
% 1.06/0.46 inference(duplicate_literal_removal,[],[f164])).
% 1.06/0.46 thf(f171,plain,(
% 1.06/0.46 ( ! [X0 : (a > (a > a > a) > a),X1 : a] : ((((X0 @ (sK2 @ (^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ (X0 @ Y0 @ Y1)))))) @ (sK3 @ (^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ (X0 @ Y0 @ Y1))))) @ X1))) != X1) | ((((^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ (X0 @ Y0 @ Y1))))) @ (sK6 @ X0))) != (((^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ Y0)))) @ (sK6 @ X0))))) ) | ~spl5_6),
% 1.06/0.46 inference(negative_extensionality,[],[f165])).
% 1.06/0.46 thf(f172,plain,(
% 1.06/0.46 ( ! [X0 : (a > (a > a > a) > a),X1 : a] : (((^[Y0 : a > a > a]: (Y0 @ (sK6 @ X0) @ (sK6 @ X0))) != (^[Y0 : a > a > a]: (Y0 @ (sK6 @ X0) @ (X0 @ (sK6 @ X0) @ Y0)))) | (((X0 @ (sK2 @ (^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ (X0 @ Y0 @ Y1)))))) @ (sK3 @ (^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ (X0 @ Y0 @ Y1))))) @ X1))) != X1)) ) | ~spl5_6),
% 1.06/0.46 inference(beta-eta_normalization,[],[f171])).
% 1.06/0.46 thf(f173,plain,(
% 1.06/0.46 ( ! [X0 : (a > (a > a > a) > a),X1 : a] : ((((X0 @ (sK2 @ (^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ (X0 @ Y0 @ Y1)))))) @ (sK3 @ (^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ (X0 @ Y0 @ Y1))))) @ X1))) != X1) | ((((^[Y0 : a > a > a]: (Y0 @ (sK6 @ X0) @ (sK6 @ X0))) @ (sK7 @ X0))) != (((^[Y0 : a > a > a]: (Y0 @ (sK6 @ X0) @ (X0 @ (sK6 @ X0) @ Y0))) @ (sK7 @ X0))))) ) | ~spl5_6),
% 1.06/0.46 inference(negative_extensionality,[],[f172])).
% 1.06/0.46 thf(f175,plain,(
% 1.06/0.46 ( ! [X0 : (a > (a > a > a) > a),X1 : a] : ((((sK7 @ X0 @ (sK6 @ X0) @ (sK6 @ X0))) != ((sK7 @ X0 @ (sK6 @ X0) @ (X0 @ (sK6 @ X0) @ (sK7 @ X0))))) | (((X0 @ (sK2 @ (^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ (X0 @ Y0 @ Y1)))))) @ (sK3 @ (^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ (X0 @ Y0 @ Y1))))) @ X1))) != X1)) ) | ~spl5_6),
% 1.06/0.46 inference(beta-eta_normalization,[],[f173])).
% 1.06/0.46 thf(f184,plain,(
% 1.06/0.46 ( ! [X0 : a] : (((((^[Y0 : a]: ((^[Y1 : a > a > a]: (Y0)))) @ (sK2 @ (^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ ((^[Y2 : a]: ((^[Y3 : a > a > a]: (Y2)))) @ Y0 @ Y1)))))) @ (sK3 @ (^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ ((^[Y2 : a]: ((^[Y3 : a > a > a]: (Y2)))) @ Y0 @ Y1))))) @ X0))) != X0)) ) | ~spl5_6),
% 1.06/0.46 inference(equality_resolution,[],[f175])).
% 1.06/0.46 thf(f190,plain,(
% 1.06/0.46 ( ! [X0 : a] : ((((sK2 @ (^[Y0 : a]: ((^[Y1 : a > a > a]: (Y1 @ Y0 @ Y0)))))) != X0)) ) | ~spl5_6),
% 1.06/0.46 inference(beta-eta_normalization,[],[f184])).
% 1.06/0.46 thf(f209,plain,(
% 1.06/0.46 spl5_3 | ~spl5_6),
% 1.06/0.46 inference(avatar_split_clause,[],[f190,f133,f122])).
% 1.06/0.46 cnf(s4, plain, spl5_3 | spl5_6, inference(sat_conversion,[],[f135])).
% 1.06/0.46 cnf(s6, plain, ~spl5_3, inference(sat_conversion,[],[f139])).
% 1.06/0.46 cnf(s9, plain, spl5_3 | ~spl5_6, inference(sat_conversion,[],[f209])).
% 1.06/0.46 cnf(s11, plain, ~spl5_6, inference(rat,[],[s9,s6])).
% 1.06/0.46 cnf(s12, plain, $false, inference(rat,[],[s4,s11,s6])).
% 1.06/0.46 thf(f218,plain,(
% 1.06/0.46 $false),
% 1.06/0.46 inference(avatar_sat_refutation,[],[s12])).
% 1.06/0.46 % SZS output end Proof for theBenchmark
% 1.06/0.46 % (2632319)------------------------------
% 1.06/0.46 % (2632319)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.06/0.46 % (2632319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.06/0.46 % (2632319)CaDiCaL version: 2.1.3
% 1.06/0.46 % (2632319)Termination reason: Refutation
% 1.06/0.46 % (2632319)Time elapsed: 0.056 s
% 1.06/0.46 % (2632319)Peak memory usage: 14 MB
% 1.06/0.46 % (2632319)Instructions burned: 115 (million)
% 1.06/0.46 % (2632255)Success in time 0.22 s
% 1.06/0.46 % Vampire exiting
%------------------------------------------------------------------------------