%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV440^1 : TPTP v9.3.1. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 08:38:38 AM UTC 2026
% Result : Satisfiable 0.87s 0.39s
% Output : Saturation 0.87s
% Verified :
% SZS Type : Derivation
% Derivation depth : 0
% Number of leaves : 1
% Syntax : Number of clauses : 1 ( 1 unt; 0 nHn; 1 RR)
% Number of literals : 1 ( 1 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 3 ( 0 usr; 2 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(u162,axiom,
$false != $true ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV440^1 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n009.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 15:47:00 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running higher-order theorem proving
% 0.09/0.24 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
% 0.20/0.36 % (4167858)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.20/0.36 % (4167864)lrs+10_16_si=on:nwc=1.5:random_seed=3335910282:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.20/0.36 % (4167869)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.20/0.36 % (4167869)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
% 0.20/0.36 % (4167864)Instruction limit reached!
% 0.20/0.36 % (4167864)------------------------------
% 0.20/0.36 % (4167864)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.36 % (4167864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.36 % (4167864)CaDiCaL version: 2.1.3
% 0.20/0.36 % (4167864)Termination reason: Instruction limit
% 0.20/0.36 % (4167864)Termination phase: Saturation
% 0.20/0.36 % (4167864)Time elapsed: 0.005 s
% 0.20/0.36 % (4167864)Peak memory usage: 12 MB
% 0.20/0.36 % (4167864)Instructions burned: 20 (million)
% 0.20/0.36 % (4167863)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1550849527:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.20/0.36 % (4167866)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=2846299416: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)
% 0.20/0.36 % (4167865)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3621781682:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.20/0.36 % (4167868)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2874771769:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.20/0.36 % (4167867)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2431724064:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.20/0.36 % (4167869)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=3013129904:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.20/0.36 % (4167865)Instruction limit reached!
% 0.20/0.36 % (4167865)------------------------------
% 0.20/0.36 % (4167865)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.36 % (4167865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.36 % (4167865)CaDiCaL version: 2.1.3
% 0.20/0.36 % (4167865)Termination reason: Instruction limit
% 0.20/0.36 % (4167865)Termination phase: Property scanning
% 0.20/0.36 % (4167865)Time elapsed: 0.002 s
% 0.20/0.36 % (4167865)Peak memory usage: 10 MB
% 0.20/0.36 % (4167865)Instructions burned: 5 (million)
% 0.20/0.36 % (4167871)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=833635682:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.20/0.36 % (4167871)Instruction limit reached!
% 0.20/0.36 % (4167871)------------------------------
% 0.20/0.36 % (4167871)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.36 % (4167871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.36 % (4167871)CaDiCaL version: 2.1.3
% 0.20/0.36 % (4167871)Termination reason: Instruction limit
% 0.20/0.36 % (4167871)Termination phase: Saturation
% 0.20/0.36 % (4167871)Time elapsed: 0.002 s
% 0.20/0.36 % (4167871)Peak memory usage: 11 MB
% 0.20/0.36 % (4167871)Instructions burned: 8 (million)
% 0.20/0.36 % (4167867)Instruction limit reached!
% 0.20/0.36 % (4167867)------------------------------
% 0.20/0.36 % (4167867)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.36 % (4167867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.36 % (4167867)CaDiCaL version: 2.1.3
% 0.20/0.36 % (4167867)Termination reason: Instruction limit
% 0.20/0.36 % (4167867)Termination phase: Saturation
% 0.20/0.36 % (4167867)Time elapsed: 0.014 s
% 0.20/0.36 % (4167867)Peak memory usage: 11 MB
% 0.20/0.36 % (4167867)Instructions burned: 25 (million)
% 0.20/0.36 % (4167880)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.87/0.38 % (4167878)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3906771560:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.87/0.38 % (4167880)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2334888725:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.87/0.38 % (4167878)Instruction limit reached!
% 0.87/0.38 % (4167878)------------------------------
% 0.87/0.38 % (4167878)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.38 % (4167878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.38 % (4167878)CaDiCaL version: 2.1.3
% 0.87/0.38 % (4167878)Termination reason: Instruction limit
% 0.87/0.38 % (4167878)Termination phase: Property scanning
% 0.87/0.38 % (4167878)Time elapsed: 0.003 s
% 0.87/0.38 % (4167878)Peak memory usage: 10 MB
% 0.87/0.38 % (4167878)Instructions burned: 5 (million)
% 0.87/0.38 % (4167880)Instruction limit reached!
% 0.87/0.38 % (4167880)------------------------------
% 0.87/0.38 % (4167880)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.38 % (4167880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.38 % (4167880)CaDiCaL version: 2.1.3
% 0.87/0.38 % (4167880)Termination reason: Instruction limit
% 0.87/0.38 % (4167880)Termination phase: Saturation
% 0.87/0.38 % (4167880)Time elapsed: 0.003 s
% 0.87/0.38 % (4167880)Peak memory usage: 11 MB
% 0.87/0.38 % (4167880)Instructions burned: 14 (million)
% 0.87/0.38 % (4167868)Instruction limit reached!
% 0.87/0.38 % (4167868)------------------------------
% 0.87/0.38 % (4167868)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.38 % (4167868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.38 % (4167868)CaDiCaL version: 2.1.3
% 0.87/0.38 % (4167868)Termination reason: Instruction limit
% 0.87/0.38 % (4167868)Termination phase: Saturation
% 0.87/0.38 % (4167868)Time elapsed: 0.032 s
% 0.87/0.38 % (4167868)Peak memory usage: 12 MB
% 0.87/0.38 % (4167868)Instructions burned: 76 (million)
% 0.87/0.38 % (4167881)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=316778303:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.87/0.38 % (4167863)Instruction limit reached!
% 0.87/0.38 % (4167863)------------------------------
% 0.87/0.38 % (4167863)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.38 % (4167863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.38 % (4167863)CaDiCaL version: 2.1.3
% 0.87/0.38 % (4167863)Termination reason: Instruction limit
% 0.87/0.38 % (4167863)Termination phase: Saturation
% 0.87/0.38 % (4167863)Time elapsed: 0.038 s
% 0.87/0.38 % (4167863)Peak memory usage: 12 MB
% 0.87/0.38 % (4167863)Instructions burned: 89 (million)
% 0.87/0.38 % (4167885)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=1602027064:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.87/0.38 % (4167884)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.87/0.38 % (4167884)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.87/0.38 % (4167881)Instruction limit reached!
% 0.87/0.38 % (4167881)------------------------------
% 0.87/0.38 % (4167881)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.38 % (4167881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.38 % (4167881)CaDiCaL version: 2.1.3
% 0.87/0.38 % (4167881)Termination reason: Instruction limit
% 0.87/0.38 % (4167881)Termination phase: Saturation
% 0.87/0.38 % (4167881)Time elapsed: 0.007 s
% 0.87/0.38 % (4167881)Peak memory usage: 12 MB
% 0.87/0.38 % (4167881)Instructions burned: 14 (million)
% 0.87/0.38 % (4167884)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=520797097:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.87/0.38 % (4167886)lrs+10_1_si=on:cs=on:random_seed=2662351212:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.87/0.38 % (4167886)Instruction limit reached!
% 0.87/0.39 % (4167886)------------------------------
% 0.87/0.39 % (4167886)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.39 % (4167886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.39 % (4167886)CaDiCaL version: 2.1.3
% 0.87/0.39 % (4167886)Termination reason: Instruction limit
% 0.87/0.39 % (4167886)Termination phase: Saturation
% 0.87/0.39 % (4167886)Time elapsed: 0.004 s
% 0.87/0.39 % (4167886)Peak memory usage: 11 MB
% 0.87/0.39 % (4167886)Instructions burned: 8 (million)
% 0.87/0.39 % (4167884)Instruction limit reached!
% 0.87/0.39 % (4167884)------------------------------
% 0.87/0.39 % (4167884)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.39 % (4167884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.39 % (4167884)CaDiCaL version: 2.1.3
% 0.87/0.39 % (4167884)Termination reason: Instruction limit
% 0.87/0.39 % (4167884)Termination phase: Saturation
% 0.87/0.39 % (4167884)Time elapsed: 0.014 s
% 0.87/0.39 % (4167884)Peak memory usage: 11 MB
% 0.87/0.39 % (4167884)Instructions burned: 30 (million)
% 0.87/0.39 % (4167885)Instruction limit reached!
% 0.87/0.39 % (4167885)------------------------------
% 0.87/0.39 % (4167885)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.39 % (4167885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.39 % (4167885)CaDiCaL version: 2.1.3
% 0.87/0.39 % (4167885)Termination reason: Instruction limit
% 0.87/0.39 % (4167885)Termination phase: Saturation
% 0.87/0.39 % (4167885)Time elapsed: 0.021 s
% 0.87/0.39 % (4167885)Peak memory usage: 11 MB
% 0.87/0.39 % (4167885)Instructions burned: 92 (million)
% 0.87/0.39 % (4167889)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.87/0.39 % (4167890)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=41285422:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.87/0.39 % (4167890)Refutation not found, incomplete strategy
% 0.87/0.39 % (4167890)------------------------------
% 0.87/0.39 % (4167890)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.39 % (4167890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.39 % (4167890)CaDiCaL version: 2.1.3
% 0.87/0.39 % (4167890)Termination reason: Refutation not found, incomplete strategy
% 0.87/0.39 % (4167890)Time elapsed: 0.003 s
% 0.87/0.39 % (4167890)Peak memory usage: 11 MB
% 0.87/0.39 % (4167890)Instructions burned: 6 (million)
% 0.87/0.39 % (4167890)------------------------------
% 0.87/0.39 % (4167890)------------------------------
% 0.87/0.39 % (4167889)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=4206965232:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.87/0.39 % (4167895)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2714008736:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.87/0.39 % (4167889)Instruction limit reached!
% 0.87/0.39 % (4167889)------------------------------
% 0.87/0.39 % (4167889)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.39 % (4167889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.39 % (4167889)CaDiCaL version: 2.1.3
% 0.87/0.39 % (4167889)Termination reason: Instruction limit
% 0.87/0.39 % (4167889)Termination phase: Property scanning
% 0.87/0.39 % (4167889)Time elapsed: 0.003 s
% 0.87/0.39 % (4167889)Peak memory usage: 9 MB
% 0.87/0.39 % (4167889)Instructions burned: 3 (million)
% 0.87/0.39 % (4167893)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=4150602542:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.87/0.39 % (4167895)Instruction limit reached!
% 0.87/0.39 % (4167895)------------------------------
% 0.87/0.39 % (4167895)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.39 % (4167895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.39 % (4167895)CaDiCaL version: 2.1.3
% 0.87/0.39 % (4167895)Termination reason: Instruction limit
% 0.87/0.39 % (4167895)Termination phase: Saturation
% 0.87/0.39 % (4167895)Time elapsed: 0.004 s
% 0.87/0.39 % (4167895)Peak memory usage: 11 MB
% 0.87/0.39 % (4167895)Instructions burned: 14 (million)
% 0.87/0.39 % (4167869)Instruction limit reached!
% 0.87/0.39 % (4167869)------------------------------
% 0.87/0.39 % (4167869)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.39 % (4167869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.39 % (4167869)CaDiCaL version: 2.1.3
% 0.87/0.39 % (4167869)Termination reason: Instruction limit
% 0.87/0.39 % (4167869)Termination phase: Saturation
% 0.87/0.39 % (4167869)Time elapsed: 0.075 s
% 0.87/0.39 % (4167869)Peak memory usage: 12 MB
% 0.87/0.39 % (4167869)Instructions burned: 159 (million)
% 0.87/0.39 % (4167893)Refutation not found, incomplete strategy
% 0.87/0.39 % (4167893)------------------------------
% 0.87/0.39 % (4167893)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.39 % (4167893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.39 % (4167893)CaDiCaL version: 2.1.3
% 0.87/0.39 % (4167893)Termination reason: Refutation not found, incomplete strategy
% 0.87/0.39 % (4167893)Time elapsed: 0.003 s
% 0.87/0.39 % (4167893)Peak memory usage: 11 MB
% 0.87/0.39 % (4167893)Instructions burned: 6 (million)
% 0.87/0.39 % (4167894)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2820955541:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.87/0.39 % (4167893)------------------------------
% 0.87/0.39 % (4167893)------------------------------
% 0.87/0.39 % (4167894)Refutation not found, incomplete strategy
% 0.87/0.39 % (4167894)------------------------------
% 0.87/0.39 % (4167894)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.39 % (4167894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.39 % (4167894)CaDiCaL version: 2.1.3
% 0.87/0.39 % (4167894)Termination reason: Refutation not found, incomplete strategy
% 0.87/0.39 % (4167894)Time elapsed: 0.003 s
% 0.87/0.39 % (4167894)Peak memory usage: 11 MB
% 0.87/0.39 % (4167894)Instructions burned: 6 (million)
% 0.87/0.39 % (4167894)------------------------------
% 0.87/0.39 % (4167894)------------------------------
% 0.87/0.39 % (4167902)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=4078803167:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.87/0.39 % (4167902)Refutation not found, incomplete strategy
% 0.87/0.39 % (4167902)------------------------------
% 0.87/0.39 % (4167902)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.39 % (4167902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.39 % (4167902)CaDiCaL version: 2.1.3
% 0.87/0.39 % (4167902)Termination reason: Refutation not found, incomplete strategy
% 0.87/0.39 % (4167902)Time elapsed: 0.001 s
% 0.87/0.39 % (4167902)Peak memory usage: 11 MB
% 0.87/0.39 % (4167902)Instructions burned: 6 (million)
% 0.87/0.39 % (4167902)------------------------------
% 0.87/0.39 % (4167902)------------------------------
% 0.87/0.39 % (4167903)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1721529859:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.87/0.39 % (4167908)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
% 0.87/0.39 % (4167908)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.87/0.39 % (4167897)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2059881373:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.87/0.39 % (4167905)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1133074308:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.87/0.39 % (4167908)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=3236177993:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.87/0.39 % (4167908) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4167858-4167908"...
% 0.87/0.39 % (4167897)Refutation not found, incomplete strategy
% 0.87/0.39 % (4167897)------------------------------
% 0.87/0.39 % (4167897)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.39 % (4167897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.39 % (4167897)CaDiCaL version: 2.1.3
% 0.87/0.39 % (4167897)Termination reason: Refutation not found, incomplete strategy
% 0.87/0.39 % (4167897)Time elapsed: 0.003 s
% 0.87/0.39 % (4167897)Peak memory usage: 11 MB
% 0.87/0.39 % (4167897)Instructions burned: 7 (million)
% 0.87/0.39 % (4167908)...printing done.
% 0.87/0.39 % (4167897)------------------------------
% 0.87/0.39 % (4167897)------------------------------
% 0.87/0.39 % SZS status Satisfiable for theBenchmark
% 0.87/0.39 % SZS output start Saturation.
% See solution above
% 0.87/0.39 % SZS output start Definitions and Model Updates.
% 0.87/0.39 for all inputs,
% 0.87/0.39 define upwards_well_founded := (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) => (?? @ $i @ (^[Y3 : $i]: ((!! @ $i @ (^[Y4 : $i]: ((Y0 @ Y3 @ Y3) => (~ (Y2 @ Y4))))) & (Y2 @ Y3))))))))))
% 0.87/0.39 for all inputs,
% 0.87/0.39 define well_founded := (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) => (?? @ $i @ (^[Y3 : $i]: ((!! @ $i @ (^[Y4 : $i]: ((Y0 @ Y3 @ Y4) => (~ (Y2 @ Y4))))) & (Y2 @ Y3))))))))))
% 0.87/0.39 for all inputs,
% 0.87/0.39 define rel_field := (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: (((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: (?? @ $i @ (^[Y4 : $i]: (Y2 @ Y3 @ Y4)))))) @ Y0 @ Y1) | ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: (?? @ $i @ (^[Y4 : $i]: (Y2 @ Y4 @ Y3)))))) @ Y0 @ Y1)))))
% 0.87/0.39 for all inputs,
% 0.87/0.39 define restrict_rel_codomain := (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((Y0 @ Y2 @ Y3) & (Y1 @ Y3)))))))))
% 0.87/0.39 for all inputs,
% 0.87/0.39 define equiv_classes := (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: (?? @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) & (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) = (Y0 @ Y2 @ Y3))))))))))
% 0.87/0.39 for all inputs,
% 0.87/0.39 define rel_inverse := (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y0 @ Y2 @ Y1))))))
% 0.87/0.39 for all inputs,
% 0.87/0.39 define rel_domain := (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: (Y0 @ Y1 @ Y2))))))
% 0.87/0.39 for all inputs,
% 0.87/0.39 define rel_codomain := (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))))
% 0.87/0.39 for all inputs,
% 0.87/0.39 define equiv_rel := (^[Y0 : $i > $i > $o]: ((((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((Y1 @ Y2 @ Y3) & (Y1 @ Y3 @ Y4)) => (Y1 @ Y2 @ Y4))))))))) @ Y0) & ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y2 @ Y3) => (Y1 @ Y3 @ Y2))))))) @ Y0)) & ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (Y1 @ Y2 @ Y2)))) @ Y0)))
% 0.87/0.39 for all inputs,
% 0.87/0.39 define transitive := (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y2) & (Y0 @ Y2 @ Y3)) => (Y0 @ Y1 @ Y3)))))))))
% 0.87/0.39 for all inputs,
% 0.87/0.39 define symmetric := (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y1 @ Y2) => (Y0 @ Y2 @ Y1)))))))
% 0.87/0.39 for all inputs,
% 0.87/0.39 define irreflexive := (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (~ (Y0 @ Y1 @ Y1)))))
% 0.87/0.39 for all inputs,
% 0.87/0.39 define reflexive := (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1))))
% 0.87/0.39 for all inputs,
% 0.87/0.39 define rel_composition := (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: ((^[Y3 : $i]: (?? @ $i @ (^[Y4 : $i]: ((Y0 @ Y2 @ Y4) & (Y1 @ Y4 @ Y3)))))))))))
% 0.87/0.39 for all inputs,
% 0.87/0.39 define rel_diagonal := (^[Y0 : $i]: ((^[Y1 : $i]: (Y0 = Y1))))
% 0.87/0.39 for all inputs,
% 0.87/0.39 define restrict_rel_domain := (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((Y1 @ Y2) & (Y0 @ Y2 @ Y3)))))))))
% 0.87/0.39 for all inputs,
% 0.87/0.39 define is_rel_on := (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y0 @ Y3 @ Y4) => ((Y2 @ Y4) & (Y1 @ Y3))))))))))))
% 0.87/0.39 for all inputs,
% 0.87/0.39 define sub_rel := (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y3 @ Y2) => (Y1 @ Y3 @ Y2)))))))))
% 0.87/0.39 for all inputs,
% 0.87/0.39 define id_rel := (^[Y0 : $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((Y0 @ Y1) & (Y1 = Y2)))))))
% 0.87/0.39 for all inputs,
% 0.87/0.39 define pair_rel := (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((Y1 = Y3) | (Y0 = Y2)))))))))
% 0.87/0.39 for all inputs,
% 0.87/0.39 define cartesian_product := (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((Y1 @ Y3) & (Y0 @ Y2)))))))))
% 0.87/0.39 for all inputs,
% 0.87/0.39 define fun_increasing := (^[Y0 : $i > $i]: ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3 @ Y2) => (Y1 @ (Y0 @ Y3) @ (Y0 @ Y2))))))))))
% 0.87/0.39 for all inputs,
% 0.87/0.39 define fun_decreasing := (^[Y0 : $i > $i]: ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y2 @ Y3) => (Y1 @ (Y0 @ Y3) @ (Y0 @ Y2))))))))))
% 0.87/0.39 for all inputs,
% 0.87/0.39 define fun_bijective := (^[Y0 : $i > $i]: (((^[Y1 : $i > $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y1 @ Y2) = (Y1 @ Y3)) => (Y3 = Y2))))))) @ Y0) & ((^[Y1 : $i > $i]: (!! @ $i @ (^[Y2 : $i]: (?? @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) = Y2)))))) @ Y0)))
% 0.87/0.39 for all inputs,
% 0.87/0.39 define fun_surjective := (^[Y0 : $i > $i]: (!! @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) = Y1))))))
% 0.87/0.39 for all inputs,
% 0.87/0.39 define fun_injective := (^[Y0 : $i > $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((Y0 @ Y1) = (Y0 @ Y2)) => (Y2 = Y1)))))))
% 0.87/0.39 for all inputs,
% 0.87/0.39 define fun_inv_image := (^[Y0 : $i > $i]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (?? @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) & ((Y0 @ Y2) = Y3)))))))))
% 0.87/0.39 for all inputs,
% 0.87/0.39 define fun_composition := (^[Y0 : $i > $i]: ((^[Y1 : $i > $i]: ((^[Y2 : $i]: (Y1 @ (Y0 @ Y2)))))))
% 0.87/0.39 for all inputs,
% 0.87/0.39 define fun_image := (^[Y0 : $i > $i]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (?? @ $i @ (^[Y3 : $i]: (((Y0 @ Y3) = Y2) & (Y1 @ Y3)))))))))
% 0.87/0.39 for all inputs,
% 0.87/0.39 define misses := (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (~ (?? @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) & (Y0 @ Y2))))))))
% 0.87/0.39 for all inputs,
% 0.87/0.39 define meets := (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) & (Y1 @ Y2)))))))
% 0.87/0.39 for all inputs,
% 0.87/0.39 define subset := (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) => (Y1 @ Y2)))))))
% 0.87/0.39 for all inputs,
% 0.87/0.39 define disjoint := (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)) = ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) & (Y3 @ Y4))))))) @ Y0 @ Y1)))))
% 0.87/0.39 for all inputs,
% 0.87/0.39 define complement := (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1)))))
% 0.87/0.39 for all inputs,
% 0.87/0.39 define setminus := (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((~ (Y1 @ Y2)) & (Y0 @ Y2)))))))
% 0.87/0.39 for all inputs,
% 0.87/0.39 define intersection := (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) & (Y1 @ Y2)))))))
% 0.87/0.39 for all inputs,
% 0.87/0.39 define excl_union := (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (((Y1 @ Y2) & (~ (Y0 @ Y2))) | ((Y0 @ Y2) & (~ (Y1 @ Y2)))))))))
% 0.87/0.39 for all inputs,
% 0.87/0.39 define union := (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2)))))))
% 0.87/0.39 for all inputs,
% 0.87/0.39 define singleton := (^[Y0 : $i]: ((^[Y1 : $i]: (Y0 = Y1))))
% 0.87/0.39 for all inputs,
% 0.87/0.39 define unord_pair := (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((Y0 = Y2) | (Y1 = Y2)))))))
% 0.87/0.39 for all inputs,
% 0.87/0.39 define emptyset := (^[Y0 : $i]: ($false))
% 0.87/0.39 for all inputs,
% 0.87/0.39 define is_a := (^[Y0 : $i]: ((^[Y1 : $i > $o]: (Y1 @ Y0))))
% 0.87/0.39 for all inputs,
% 0.87/0.39 define in := (^[Y0 : $i]: ((^[Y1 : $i > $o]: (Y1 @ Y0))))
% 0.87/0.39 % SZS output end Definitions and Model Updates.
% 0.87/0.39 % (4167908)------------------------------
% 0.87/0.39 % (4167908)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.39 % (4167908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.39 % (4167908)CaDiCaL version: 2.1.3
% 0.87/0.39 % (4167908)Termination reason: Satisfiable
% 0.87/0.39 % (4167908)Time elapsed: 0.002 s
% 0.87/0.39 % (4167908)Peak memory usage: 12 MB
% 0.87/0.39 % (4167908)Instructions burned: 9 (million)
% 0.87/0.39 % (4167858)Success in time 0.142 s
% 0.87/0.39 % Vampire exiting
%------------------------------------------------------------------------------