%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL930^1 : TPTP v9.3.1. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 08:14:41 AM UTC 2026
% Result : Satisfiable 0.83s 0.40s
% Output : Saturation 0.83s
% 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(u78,axiom,
$false != $true ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL930^1 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n016.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
% 0.09/0.20 % DateTime : Tue Sep 29 10:38:49 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running higher-order theorem proving
% 0.09/0.24 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.36 % (175543)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.21/0.36 % (175552)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=803814300:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.21/0.36 % (175548)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=263965653:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.21/0.36 % (175551)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=3220920720: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)
% 0.21/0.36 % (175549)lrs+10_16_si=on:nwc=1.5:random_seed=176847833:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.21/0.36 % (175550)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=953907017:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.21/0.36 % (175554)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.21/0.36 % (175554)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
% 0.21/0.36 % (175553)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=135270401:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.21/0.36 % (175552)Instruction limit reached!
% 0.21/0.36 % (175552)------------------------------
% 0.21/0.36 % (175552)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.36 % (175552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.36 % (175552)CaDiCaL version: 2.1.3
% 0.21/0.36 % (175552)Termination reason: Instruction limit
% 0.21/0.36 % (175552)Termination phase: Saturation
% 0.21/0.36 % (175552)Time elapsed: 0.008 s
% 0.21/0.36 % (175552)Peak memory usage: 11 MB
% 0.21/0.36 % (175552)Instructions burned: 25 (million)
% 0.21/0.36 % (175550)Instruction limit reached!
% 0.21/0.36 % (175550)------------------------------
% 0.21/0.36 % (175550)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.36 % (175550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.36 % (175550)CaDiCaL version: 2.1.3
% 0.21/0.36 % (175550)Termination reason: Instruction limit
% 0.21/0.36 % (175550)Termination phase: Saturation
% 0.21/0.36 % (175550)Time elapsed: 0.004 s
% 0.21/0.36 % (175550)Peak memory usage: 11 MB
% 0.21/0.36 % (175550)Instructions burned: 6 (million)
% 0.21/0.36 % (175554)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=2531838142:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.21/0.36 % (175549)Instruction limit reached!
% 0.21/0.36 % (175549)------------------------------
% 0.21/0.36 % (175549)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.36 % (175549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.36 % (175549)CaDiCaL version: 2.1.3
% 0.21/0.36 % (175549)Termination reason: Instruction limit
% 0.21/0.36 % (175549)Termination phase: Saturation
% 0.21/0.36 % (175549)Time elapsed: 0.008 s
% 0.21/0.36 % (175549)Peak memory usage: 12 MB
% 0.21/0.36 % (175549)Instructions burned: 18 (million)
% 0.21/0.36 % (175561)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=4212138596:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.21/0.36 % (175561)Instruction limit reached!
% 0.21/0.36 % (175561)------------------------------
% 0.21/0.36 % (175561)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.36 % (175561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.36 % (175561)CaDiCaL version: 2.1.3
% 0.21/0.36 % (175561)Termination reason: Instruction limit
% 0.21/0.36 % (175561)Termination phase: Saturation
% 0.21/0.36 % (175561)Time elapsed: 0.002 s
% 0.21/0.36 % (175561)Peak memory usage: 12 MB
% 0.21/0.36 % (175561)Instructions burned: 8 (million)
% 0.21/0.36 % (175563)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1308340283:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.21/0.36 % (175564)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.83/0.39 % (175566)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2183528418:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.83/0.39 % (175563)Instruction limit reached!
% 0.83/0.39 % (175563)------------------------------
% 0.83/0.39 % (175563)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.39 % (175564)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1922210882:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.83/0.39 % (175563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.39 % (175563)CaDiCaL version: 2.1.3
% 0.83/0.39 % (175563)Termination reason: Instruction limit
% 0.83/0.39 % (175563)Termination phase: Saturation
% 0.83/0.39 % (175563)Time elapsed: 0.004 s
% 0.83/0.39 % (175563)Peak memory usage: 11 MB
% 0.83/0.39 % (175563)Instructions burned: 6 (million)
% 0.83/0.39 % (175566)Instruction limit reached!
% 0.83/0.39 % (175566)------------------------------
% 0.83/0.39 % (175566)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.39 % (175566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.39 % (175566)CaDiCaL version: 2.1.3
% 0.83/0.39 % (175566)Termination reason: Instruction limit
% 0.83/0.39 % (175566)Termination phase: Saturation
% 0.83/0.39 % (175566)Time elapsed: 0.003 s
% 0.83/0.39 % (175566)Peak memory usage: 12 MB
% 0.83/0.39 % (175566)Instructions burned: 13 (million)
% 0.83/0.39 % (175553)Instruction limit reached!
% 0.83/0.39 % (175553)------------------------------
% 0.83/0.39 % (175553)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.39 % (175553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.39 % (175553)CaDiCaL version: 2.1.3
% 0.83/0.39 % (175553)Termination reason: Instruction limit
% 0.83/0.39 % (175553)Termination phase: Saturation
% 0.83/0.39 % (175553)Time elapsed: 0.031 s
% 0.83/0.39 % (175553)Peak memory usage: 12 MB
% 0.83/0.39 % (175553)Instructions burned: 75 (million)
% 0.83/0.39 % (175564)Instruction limit reached!
% 0.83/0.39 % (175564)------------------------------
% 0.83/0.39 % (175564)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.39 % (175564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.39 % (175564)CaDiCaL version: 2.1.3
% 0.83/0.39 % (175564)Termination reason: Instruction limit
% 0.83/0.39 % (175564)Termination phase: Saturation
% 0.83/0.39 % (175564)Time elapsed: 0.005 s
% 0.83/0.39 % (175564)Peak memory usage: 12 MB
% 0.83/0.39 % (175564)Instructions burned: 9 (million)
% 0.83/0.39 % (175548)Instruction limit reached!
% 0.83/0.39 % (175548)------------------------------
% 0.83/0.39 % (175548)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.39 % (175548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.39 % (175548)CaDiCaL version: 2.1.3
% 0.83/0.39 % (175548)Termination reason: Instruction limit
% 0.83/0.39 % (175548)Termination phase: Saturation
% 0.83/0.39 % (175548)Time elapsed: 0.037 s
% 0.83/0.39 % (175548)Peak memory usage: 12 MB
% 0.83/0.39 % (175548)Instructions burned: 88 (million)
% 0.83/0.39 % (175571)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=1951277120:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.83/0.39 % (175570)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
% 0.83/0.39 % (175570)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.83/0.39 % (175570)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2626773457:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.83/0.39 % (175573)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.83/0.39 % (175572)lrs+10_1_si=on:cs=on:random_seed=2332209146:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.83/0.40 % (175573)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=3521520721:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.83/0.40 % (175573)Refutation not found, incomplete strategy
% 0.83/0.40 % (175573)------------------------------
% 0.83/0.40 % (175573)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.40 % (175573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.40 % (175573)CaDiCaL version: 2.1.3
% 0.83/0.40 % (175573)Termination reason: Refutation not found, incomplete strategy
% 0.83/0.40 % (175573)Time elapsed: 0.001 s
% 0.83/0.40 % (175573)Peak memory usage: 11 MB
% 0.83/0.40 % (175573)Instructions burned: 2 (million)
% 0.83/0.40 % (175574)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=38035514:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.83/0.40 % (175573)------------------------------
% 0.83/0.40 % (175573)------------------------------
% 0.83/0.40 % (175574)Refutation not found, incomplete strategy
% 0.83/0.40 % (175574)------------------------------
% 0.83/0.40 % (175574)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.40 % (175574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.40 % (175574)CaDiCaL version: 2.1.3
% 0.83/0.40 % (175574)Termination reason: Refutation not found, incomplete strategy
% 0.83/0.40 % (175574)Time elapsed: 0.001 s
% 0.83/0.40 % (175574)Peak memory usage: 11 MB
% 0.83/0.40 % (175574)Instructions burned: 2 (million)
% 0.83/0.40 % (175574)------------------------------
% 0.83/0.40 % (175574)------------------------------
% 0.83/0.40 % (175570)Instruction limit reached!
% 0.83/0.40 % (175570)------------------------------
% 0.83/0.40 % (175570)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.40 % (175570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.40 % (175570)CaDiCaL version: 2.1.3
% 0.83/0.40 % (175570)Termination reason: Instruction limit
% 0.83/0.40 % (175570)Termination phase: Saturation
% 0.83/0.40 % (175570)Time elapsed: 0.013 s
% 0.83/0.40 % (175570)Peak memory usage: 11 MB
% 0.83/0.40 % (175570)Instructions burned: 29 (million)
% 0.83/0.40 % (175572)Instruction limit reached!
% 0.83/0.40 % (175572)------------------------------
% 0.83/0.40 % (175572)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.40 % (175572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.40 % (175572)CaDiCaL version: 2.1.3
% 0.83/0.40 % (175572)Termination reason: Instruction limit
% 0.83/0.40 % (175572)Termination phase: Saturation
% 0.83/0.40 % (175572)Time elapsed: 0.009 s
% 0.83/0.40 % (175572)Peak memory usage: 12 MB
% 0.83/0.40 % (175572)Instructions burned: 9 (million)
% 0.83/0.40 % (175571)Instruction limit reached!
% 0.83/0.40 % (175571)------------------------------
% 0.83/0.40 % (175571)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.40 % (175571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.40 % (175571)CaDiCaL version: 2.1.3
% 0.83/0.40 % (175571)Termination reason: Instruction limit
% 0.83/0.40 % (175571)Termination phase: Saturation
% 0.83/0.40 % (175571)Time elapsed: 0.020 s
% 0.83/0.40 % (175571)Peak memory usage: 11 MB
% 0.83/0.40 % (175571)Instructions burned: 90 (million)
% 0.83/0.40 % (175580)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3302711248:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.83/0.40 % (175584)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=13090849:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/14Mi)
% 0.83/0.40 % (175580)Refutation not found, incomplete strategy
% 0.83/0.40 % (175580)------------------------------
% 0.83/0.40 % (175580)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.40 % (175580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.40 % (175580)CaDiCaL version: 2.1.3
% 0.83/0.40 % (175580)Termination reason: Refutation not found, incomplete strategy
% 0.83/0.40 % (175580)Time elapsed: 0.001 s
% 0.83/0.40 % (175580)Peak memory usage: 12 MB
% 0.83/0.40 % (175580)Instructions burned: 2 (million)
% 0.83/0.40 % (175581)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2948860474:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.83/0.40 % (175580)------------------------------
% 0.83/0.40 % (175580)------------------------------
% 0.83/0.40 % (175554)Instruction limit reached!
% 0.83/0.40 % (175554)------------------------------
% 0.83/0.40 % (175554)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.40 % (175554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.40 % (175554)CaDiCaL version: 2.1.3
% 0.83/0.40 % (175554)Termination reason: Instruction limit
% 0.83/0.40 % (175554)Termination phase: Saturation
% 0.83/0.40 % (175554)Time elapsed: 0.074 s
% 0.83/0.40 % (175554)Peak memory usage: 12 MB
% 0.83/0.40 % (175554)Instructions burned: 159 (million)
% 0.83/0.40 % (175581)Refutation not found, incomplete strategy
% 0.83/0.40 % (175581)------------------------------
% 0.83/0.40 % (175581)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.40 % (175581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.40 % (175581)CaDiCaL version: 2.1.3
% 0.83/0.40 % (175581)Termination reason: Refutation not found, incomplete strategy
% 0.83/0.40 % (175581)Time elapsed: 0.001 s
% 0.83/0.40 % (175581)Peak memory usage: 11 MB
% 0.83/0.40 % (175581)Instructions burned: 2 (million)
% 0.83/0.40 % (175581)------------------------------
% 0.83/0.40 % (175581)------------------------------
% 0.83/0.40 % (175584)Instruction limit reached!
% 0.83/0.40 % (175584)------------------------------
% 0.83/0.40 % (175584)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.40 % (175584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.40 % (175584)CaDiCaL version: 2.1.3
% 0.83/0.40 % (175584)Termination reason: Instruction limit
% 0.83/0.40 % (175584)Termination phase: Saturation
% 0.83/0.40 % (175584)Time elapsed: 0.005 s
% 0.83/0.40 % (175584)Peak memory usage: 12 MB
% 0.83/0.40 % (175584)Instructions burned: 18 (million)
% 0.83/0.40 % (175582)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2493522258:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.83/0.40 % (175591)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1809527789:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 0.83/0.40 % (175583)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2083767524:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/327Mi)
% 0.83/0.40 % (175583)Refutation not found, incomplete strategy
% 0.83/0.40 % (175583)------------------------------
% 0.83/0.40 % (175583)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.40 % (175583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.40 % (175583)CaDiCaL version: 2.1.3
% 0.83/0.40 % (175583)Termination reason: Refutation not found, incomplete strategy
% 0.83/0.40 % (175583)Time elapsed: 0.002 s
% 0.83/0.40 % (175583)Peak memory usage: 11 MB
% 0.83/0.40 % (175583)Instructions burned: 2 (million)
% 0.83/0.40 % (175583)------------------------------
% 0.83/0.40 % (175583)------------------------------
% 0.83/0.40 % (175589)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=692344152:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.83/0.40 % (175590)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1628337128:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.83/0.40 % (175582)Instruction limit reached!
% 0.83/0.40 % (175582)------------------------------
% 0.83/0.40 % (175582)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.40 % (175582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.40 % (175582)CaDiCaL version: 2.1.3
% 0.83/0.40 % (175582)Termination reason: Instruction limit
% 0.83/0.40 % (175582)Termination phase: Saturation
% 0.83/0.40 % (175582)Time elapsed: 0.012 s
% 0.83/0.40 % (175582)Peak memory usage: 12 MB
% 0.83/0.40 % (175582)Instructions burned: 16 (million)
% 0.83/0.40 % (175588)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3202734190: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)
% 0.83/0.40 % (175588)Refutation not found, incomplete strategy
% 0.83/0.40 % (175588)------------------------------
% 0.83/0.40 % (175588)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.40 % (175588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.40 % (175588)CaDiCaL version: 2.1.3
% 0.83/0.40 % (175588)Termination reason: Refutation not found, incomplete strategy
% 0.83/0.40 % (175588)Time elapsed: 0.001 s
% 0.83/0.40 % (175588)Peak memory usage: 11 MB
% 0.83/0.40 % (175588)Instructions burned: 1 (million)
% 0.83/0.40 % (175588)------------------------------
% 0.83/0.40 % (175588)------------------------------
% 0.83/0.40 % (175589)Instruction limit reached!
% 0.83/0.40 % (175589)------------------------------
% 0.83/0.40 % (175589)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.40 % (175589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.40 % (175589)CaDiCaL version: 2.1.3
% 0.83/0.40 % (175589)Termination reason: Instruction limit
% 0.83/0.40 % (175589)Termination phase: Saturation
% 0.83/0.40 % (175589)Time elapsed: 0.012 s
% 0.83/0.40 % (175589)Peak memory usage: 11 MB
% 0.83/0.40 % (175589)Instructions burned: 27 (million)
% 0.83/0.40 % (175590)Instruction limit reached!
% 0.83/0.40 % (175590)------------------------------
% 0.83/0.40 % (175590)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.40 % (175590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.40 % (175590)CaDiCaL version: 2.1.3
% 0.83/0.40 % (175590)Termination reason: Instruction limit
% 0.83/0.40 % (175590)Termination phase: Saturation
% 0.83/0.40 % (175590)Time elapsed: 0.012 s
% 0.83/0.40 % (175590)Peak memory usage: 11 MB
% 0.83/0.40 % (175590)Instructions burned: 24 (million)
% 0.83/0.40 % (175591)Instruction limit reached!
% 0.83/0.40 % (175591)------------------------------
% 0.83/0.40 % (175591)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.40 % (175591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.40 % (175591)CaDiCaL version: 2.1.3
% 0.83/0.40 % (175591)Termination reason: Instruction limit
% 0.83/0.40 % (175591)Termination phase: Saturation
% 0.83/0.40 % (175591)Time elapsed: 0.018 s
% 0.83/0.40 % (175591)Peak memory usage: 12 MB
% 0.83/0.40 % (175591)Instructions burned: 62 (million)
% 0.83/0.40 % (175597)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
% 0.83/0.40 % (175597)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.83/0.40 % (175598)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 0.83/0.40 % (175597)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=734500471:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.83/0.40 % (175598)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=897211388:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 0.83/0.40 % (175597) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-175543-175597"...
% 0.83/0.40 % (175597)...printing done.
% 0.83/0.40 % (175602)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=1231467943:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.83/0.40 % SZS status Satisfiable for theBenchmark
% 0.83/0.40 % SZS output start Saturation.
% See solution above
% 0.83/0.40 % SZS output start Definitions and Model Updates.
% 0.83/0.40 for all inputs,
% 0.83/0.40 define minvalid := (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (~ (Y0 @ Y1)))))
% 0.83/0.40 for all inputs,
% 0.83/0.40 define mvalid := (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1))))
% 0.83/0.40 for all inputs,
% 0.83/0.40 define mdia := (^[Y0 : $i > $o]: ((^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: (Y0 @ Y2))))))
% 0.83/0.40 for all inputs,
% 0.83/0.40 define mbox := (^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (Y0 @ Y2))))))
% 0.83/0.40 for all inputs,
% 0.83/0.40 define mexists_prop := (^[Y0 : ($i > $o) > $i > $o]: ((^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: (Y0 @ Y2 @ Y1))))))
% 0.83/0.40 for all inputs,
% 0.83/0.40 define mexists_indset := (^[Y0 : (mu > $i > $o) > $i > $o]: ((^[Y1 : $i]: (?? @ (mu > $i > $o) @ (^[Y2 : mu > $i > $o]: (Y0 @ Y2 @ Y1))))))
% 0.83/0.40 for all inputs,
% 0.83/0.40 define mexists_ind := (^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (?? @ mu @ (^[Y2 : mu]: (Y0 @ Y2 @ Y1))))))
% 0.83/0.40 for all inputs,
% 0.83/0.40 define mforall_prop := (^[Y0 : ($i > $o) > $i > $o]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (Y0 @ Y2 @ Y1))))))
% 0.83/0.40 for all inputs,
% 0.83/0.40 define mforall_indset := (^[Y0 : (mu > $i > $o) > $i > $o]: ((^[Y1 : $i]: (!! @ (mu > $i > $o) @ (^[Y2 : mu > $i > $o]: (Y0 @ Y2 @ Y1))))))
% 0.83/0.40 for all inputs,
% 0.83/0.40 define mforall_ind := (^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: (Y0 @ Y2 @ Y1))))))
% 0.83/0.40 for all inputs,
% 0.83/0.40 define mxor := (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (((~ (Y0 @ Y2)) & (Y1 @ Y2)) | ((~ (Y1 @ Y2)) & (Y0 @ Y2))))))))
% 0.83/0.40 for all inputs,
% 0.83/0.40 define mequiv := (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) = (Y1 @ Y2)))))))
% 0.83/0.40 for all inputs,
% 0.83/0.40 define mimplied := (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) => (Y0 @ Y2)))))))
% 0.83/0.40 for all inputs,
% 0.83/0.40 define mimplies := (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) => (Y1 @ Y2)))))))
% 0.83/0.40 for all inputs,
% 0.83/0.40 define mand := (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) & (Y0 @ Y2)))))))
% 0.83/0.40 for all inputs,
% 0.83/0.40 define mor := (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2)))))))
% 0.83/0.40 for all inputs,
% 0.83/0.40 define mnot := (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1)))))
% 0.83/0.40 for all inputs,
% 0.83/0.40 define mfalse := (^[Y0 : $i]: ($false))
% 0.83/0.40 for all inputs,
% 0.83/0.40 define mtrue := (^[Y0 : $i]: ($true))
% 0.83/0.40 for all inputs,
% 0.83/0.40 define meq_ind := (^[Y0 : mu]: ((^[Y1 : mu]: ((^[Y2 : $i]: (Y0 = Y1))))))
% 0.83/0.40 % SZS output end Definitions and Model Updates.
% 0.83/0.40 % (175597)------------------------------
% 0.83/0.40 % (175597)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.40 % (175597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.40 % (175597)CaDiCaL version: 2.1.3
% 0.83/0.40 % (175597)Termination reason: Satisfiable
% 0.83/0.40 % (175597)Time elapsed: 0.002 s
% 0.83/0.40 % (175597)Peak memory usage: 12 MB
% 0.83/0.40 % (175597)Instructions burned: 2 (million)
% 0.83/0.40 % (175543)Success in time 0.155 s
% 0.83/0.40 % Vampire exiting
%------------------------------------------------------------------------------