%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM010-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n013.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 : Tue Sep 29 12:17:48 PM UTC 2026
% Result : Unsatisfiable 16.04s 3.62s
% Output : Refutation 16.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 20
% Syntax : Number of formulae : 59 ( 25 unt; 5 def)
% Number of atoms : 146 ( 14 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 158 ( 71 ~; 87 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 9 con; 0-2 aty)
% Number of variables : 42 ( 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ member(X0,X1)
| little_set(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET003-0.ax',a2) ).
fof(f9,axiom,
! [X0] : singleton_set(X0) = non_ordered_pair(X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/SET003-0.ax',singleton_set) ).
fof(f39,axiom,
! [X0,X1] : union(X0,X1) = complement(intersection(complement(X0),complement(X1))),
file('/export/starexec/sandbox/benchmark/Axioms/SET003-0.ax',union) ).
fof(f69,axiom,
! [X0] : successor(X0) = union(X0,singleton_set(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SET003-0.ax',successor) ).
fof(f72,axiom,
little_set(infinity),
file('/export/starexec/sandbox/benchmark/Axioms/SET003-0.ax',infinity1) ).
fof(f73,axiom,
member(empty_set,infinity),
file('/export/starexec/sandbox/benchmark/Axioms/SET003-0.ax',infinity2) ).
fof(f74,axiom,
! [X0] :
( ~ member(X0,infinity)
| member(successor(X0),infinity) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET003-0.ax',infinity3) ).
fof(f187,axiom,
! [X0,X1] :
( member(f43(X0,X1),X1)
| ~ little_set(X1)
| ~ member(empty_set,X1)
| ~ member(X0,natural_numbers)
| member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM003-0.ax',natural_numbers1) ).
fof(f188,axiom,
! [X0,X1] :
( ~ member(X0,natural_numbers)
| ~ little_set(X1)
| ~ member(empty_set,X1)
| ~ member(successor(f43(X0,X1)),X1)
| member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM003-0.ax',natural_numbers2) ).
fof(f189,axiom,
! [X0] :
( little_set(f44(X0))
| ~ little_set(X0)
| member(X0,natural_numbers) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM003-0.ax',natural_numbers3) ).
fof(f190,axiom,
! [X0] :
( member(empty_set,f44(X0))
| ~ little_set(X0)
| member(X0,natural_numbers) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM003-0.ax',natural_numbers4) ).
fof(f191,axiom,
! [X0,X1] :
( member(X0,natural_numbers)
| ~ little_set(X0)
| ~ member(X1,f44(X0))
| member(successor(X1),f44(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM003-0.ax',natural_numbers5) ).
fof(f192,axiom,
! [X0] :
( ~ member(X0,f44(X0))
| member(X0,natural_numbers) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM003-0.ax',natural_numbers6) ).
fof(f247,axiom,
member(f74,natural_numbers),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_natural_number) ).
fof(f248,negated_conjecture,
~ member(successor(f74),natural_numbers),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_it_has_a_successor) ).
fof(f249,plain,
! [X0] : successor(X0) = complement(intersection(complement(X0),complement(non_ordered_pair(X0,X0)))),
inference(definition_unfolding,[],[f69,f39,f9]) ).
fof(f266,plain,
! [X0] :
( member(complement(intersection(complement(X0),complement(non_ordered_pair(X0,X0)))),infinity)
| ~ member(X0,infinity) ),
inference(definition_unfolding,[],[f74,f249]) ).
fof(f287,plain,
! [X0,X1] :
( ~ member(complement(intersection(complement(f43(X0,X1)),complement(non_ordered_pair(f43(X0,X1),f43(X0,X1))))),X1)
| ~ little_set(X1)
| ~ member(empty_set,X1)
| ~ member(X0,natural_numbers)
| member(X0,X1) ),
inference(definition_unfolding,[],[f188,f249]) ).
fof(f288,plain,
! [X0,X1] :
( member(complement(intersection(complement(X1),complement(non_ordered_pair(X1,X1)))),f44(X0))
| ~ little_set(X0)
| ~ member(X1,f44(X0))
| member(X0,natural_numbers) ),
inference(definition_unfolding,[],[f191,f249]) ).
fof(f317,plain,
~ member(complement(intersection(complement(f74),complement(non_ordered_pair(f74,f74)))),natural_numbers),
inference(definition_unfolding,[],[f248,f249]) ).
fof(f337,definition,
sF0 = complement(f74),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f338,plain,
complement(f74) = sF0,
inference(reorient_equations,[],[f337]) ).
fof(f339,definition,
sF1 = non_ordered_pair(f74,f74),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f340,plain,
non_ordered_pair(f74,f74) = sF1,
inference(reorient_equations,[],[f339]) ).
fof(f341,definition,
sF2 = complement(sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f342,plain,
complement(sF1) = sF2,
inference(reorient_equations,[],[f341]) ).
fof(f343,definition,
sF3 = intersection(sF0,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f344,plain,
intersection(sF0,sF2) = sF3,
inference(reorient_equations,[],[f343]) ).
fof(f345,definition,
sF4 = complement(sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f346,plain,
complement(sF3) = sF4,
inference(reorient_equations,[],[f345]) ).
fof(f347,plain,
~ member(sF4,natural_numbers),
inference(definition_folding,[],[f317,f346,f344,f342,f340,f338]) ).
fof(f1977,plain,
( member(complement(intersection(complement(f74),complement(sF1))),infinity)
| ~ member(f74,infinity) ),
inference(superposition,[],[f266,f340]) ).
fof(f1978,plain,
( member(complement(intersection(complement(f74),sF2)),infinity)
| ~ member(f74,infinity) ),
inference(forward_demodulation,[],[f1977,f342]) ).
fof(f1980,plain,
( member(complement(intersection(sF0,sF2)),infinity)
| ~ member(f74,infinity) ),
inference(forward_demodulation,[],[f1978,f338]) ).
fof(f1982,plain,
( member(complement(sF3),infinity)
| ~ member(f74,infinity) ),
inference(forward_demodulation,[],[f1980,f344]) ).
fof(f1984,plain,
( ~ member(f74,infinity)
| member(sF4,infinity) ),
inference(forward_demodulation,[],[f1982,f346]) ).
fof(f2812,plain,
! [X0] :
( member(complement(intersection(complement(f74),complement(sF1))),f44(X0))
| ~ little_set(X0)
| ~ member(f74,f44(X0))
| member(X0,natural_numbers) ),
inference(superposition,[],[f288,f340]) ).
fof(f2814,plain,
! [X0] :
( member(complement(intersection(complement(f74),sF2)),f44(X0))
| ~ little_set(X0)
| ~ member(f74,f44(X0))
| member(X0,natural_numbers) ),
inference(forward_demodulation,[],[f2812,f342]) ).
fof(f2816,plain,
! [X0] :
( member(complement(intersection(sF0,sF2)),f44(X0))
| ~ little_set(X0)
| ~ member(f74,f44(X0))
| member(X0,natural_numbers) ),
inference(forward_demodulation,[],[f2814,f338]) ).
fof(f2818,plain,
! [X0] :
( member(complement(sF3),f44(X0))
| ~ little_set(X0)
| ~ member(f74,f44(X0))
| member(X0,natural_numbers) ),
inference(forward_demodulation,[],[f2816,f344]) ).
fof(f2820,plain,
! [X0] :
( ~ member(f74,f44(X0))
| ~ little_set(X0)
| member(sF4,f44(X0))
| member(X0,natural_numbers) ),
inference(forward_demodulation,[],[f2818,f346]) ).
fof(f3463,plain,
! [X0] :
( ~ little_set(infinity)
| ~ member(empty_set,infinity)
| ~ member(X0,natural_numbers)
| member(X0,infinity)
| ~ member(f43(X0,infinity),infinity) ),
inference(resolution,[],[f287,f266]) ).
fof(f3464,plain,
! [X0,X1] :
( ~ little_set(f44(X0))
| ~ member(empty_set,f44(X0))
| ~ member(X1,natural_numbers)
| member(X1,f44(X0))
| ~ little_set(X0)
| ~ member(f43(X1,f44(X0)),f44(X0))
| member(X0,natural_numbers) ),
inference(resolution,[],[f287,f288]) ).
fof(f3475,plain,
! [X0,X1] :
( ~ little_set(f44(X0))
| ~ member(empty_set,f44(X0))
| ~ member(X1,natural_numbers)
| member(X1,f44(X0))
| ~ little_set(X0)
| member(X0,natural_numbers) ),
inference(forward_subsumption_resolution,[],[f3464,f187]) ).
fof(f3476,plain,
! [X0] :
( ~ little_set(infinity)
| ~ member(empty_set,infinity)
| ~ member(X0,natural_numbers)
| member(X0,infinity) ),
inference(forward_subsumption_resolution,[],[f3463,f187]) ).
fof(f3477,plain,
! [X0,X1] :
( ~ member(empty_set,f44(X0))
| ~ member(X1,natural_numbers)
| member(X1,f44(X0))
| ~ little_set(X0)
| member(X0,natural_numbers) ),
inference(forward_subsumption_resolution,[],[f3475,f189]) ).
fof(f3478,plain,
! [X0] :
( ~ member(empty_set,infinity)
| ~ member(X0,natural_numbers)
| member(X0,infinity) ),
inference(forward_subsumption_resolution,[],[f3476,f72]) ).
fof(f3479,plain,
! [X0,X1] :
( member(X1,f44(X0))
| ~ member(X1,natural_numbers)
| ~ little_set(X0)
| member(X0,natural_numbers) ),
inference(forward_subsumption_resolution,[],[f3477,f190]) ).
fof(f3480,plain,
! [X0] :
( ~ member(X0,natural_numbers)
| member(X0,infinity) ),
inference(forward_subsumption_resolution,[],[f3478,f73]) ).
fof(f4371,plain,
member(f74,infinity),
inference(resolution,[],[f3480,f247]) ).
fof(f4388,plain,
member(sF4,infinity),
inference(resolution,[],[f4371,f1984]) ).
fof(f4412,plain,
little_set(sF4),
inference(resolution,[],[f4388,f1]) ).
fof(f28327,plain,
! [X0] :
( ~ little_set(X0)
| member(sF4,f44(X0))
| member(X0,natural_numbers)
| ~ member(f74,natural_numbers)
| ~ little_set(X0)
| member(X0,natural_numbers) ),
inference(resolution,[],[f2820,f3479]) ).
fof(f28328,plain,
! [X0] :
( ~ little_set(X0)
| member(sF4,f44(X0))
| member(X0,natural_numbers)
| ~ member(f74,natural_numbers) ),
inference(duplicate_literal_removal,[],[f28327]) ).
fof(f28329,plain,
! [X0] :
( member(sF4,f44(X0))
| ~ little_set(X0)
| member(X0,natural_numbers) ),
inference(forward_subsumption_resolution,[],[f28328,f247]) ).
fof(f78049,plain,
( ~ little_set(sF4)
| member(sF4,natural_numbers)
| member(sF4,natural_numbers) ),
inference(resolution,[],[f28329,f192]) ).
fof(f78063,plain,
( ~ little_set(sF4)
| member(sF4,natural_numbers) ),
inference(duplicate_literal_removal,[],[f78049]) ).
fof(f78067,plain,
member(sF4,natural_numbers),
inference(forward_subsumption_resolution,[],[f78063,f4412]) ).
fof(f78068,plain,
$false,
inference(forward_subsumption_resolution,[],[f78067,f347]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM010-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36 % Computer : n013.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 18:38:52 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.19/1.92 % (481823)Will run a generic schedule for satisfiability detection.
% 9.19/1.92 % (481829)% WARNING: option uhcvi not known.
% 9.19/1.92 % (481829)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3924026275:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 9.19/1.92 % (481828)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=79561524_2999 on theBenchmark for (2999ds/0Mi)
% 9.19/1.92 % (481830)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3645537924:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 9.19/1.92 % (481831)dis+10_1_sil=32000:sp=arity:random_seed=3395911986:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 9.19/1.92 % (481832)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3253098131:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 9.19/1.92 % (481834)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=215405887:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 9.19/1.92 % (481833)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1178142802:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 9.19/1.92 % (481833)Instruction limit reached!
% 9.19/1.92 % (481833)------------------------------
% 9.19/1.92 % (481833)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.19/1.92 % (481833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.19/1.92 % (481833)CaDiCaL version: 2.1.3
% 9.19/1.92 % (481833)Termination reason: Instruction limit
% 9.19/1.92 % (481833)Termination phase: Saturation
% 9.19/1.92 % (481833)Time elapsed: 0.079 s
% 9.19/1.92 % (481833)Peak memory usage: 13 MB
% 9.19/1.92 % (481833)Instructions burned: 132 (million)
% 9.19/1.92 % (481831)Instruction limit reached!
% 9.19/1.92 % (481831)------------------------------
% 9.19/1.92 % (481831)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.19/1.92 % (481831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.19/1.92 % (481831)CaDiCaL version: 2.1.3
% 9.19/1.92 % (481831)Termination reason: Instruction limit
% 9.19/1.92 % (481831)Termination phase: Saturation
% 9.19/1.92 % (481831)Time elapsed: 0.093 s
% 9.19/1.92 % (481831)Peak memory usage: 13 MB
% 9.19/1.92 % (481831)Instructions burned: 103 (million)
% 9.19/1.92 % (481832)Instruction limit reached!
% 9.19/1.92 % (481832)------------------------------
% 9.19/1.92 % (481832)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.19/1.92 % (481832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.19/1.92 % (481832)CaDiCaL version: 2.1.3
% 9.19/1.92 % (481832)Termination reason: Instruction limit
% 9.19/1.92 % (481832)Termination phase: Saturation
% 9.19/1.92 % (481832)Time elapsed: 0.101 s
% 9.19/1.92 % (481832)Peak memory usage: 13 MB
% 9.19/1.92 % (481832)Instructions burned: 116 (million)
% 9.19/1.92 % (481852)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1892133171:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 9.19/1.92 % (481850)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=366088838:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 9.19/1.92 % (481851)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1813172523:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 9.19/1.92 % (481834)Instruction limit reached!
% 9.19/1.92 % (481834)------------------------------
% 9.19/1.92 % (481834)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.19/1.92 % (481834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.19/1.92 % (481834)CaDiCaL version: 2.1.3
% 9.19/1.92 % (481834)Termination reason: Instruction limit
% 9.19/1.92 % (481834)Termination phase: Saturation
% 9.19/1.92 % (481834)Time elapsed: 0.153 s
% 9.19/1.92 % (481834)Peak memory usage: 14 MB
% 9.19/1.92 % (481834)Instructions burned: 159 (million)
% 9.19/1.92 % (481856)ott-21_1_sil=16000:fs=off:random_seed=340781721:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 9.19/1.92 % TRYING [1]
% 9.19/1.92 % TRYING [2]
% 9.19/1.92 % (481851)Instruction limit reached!
% 9.19/1.92 % (481851)------------------------------
% 9.19/1.92 % (481851)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.19/1.92 % (481851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.19/1.92 % (481851)CaDiCaL version: 2.1.3
% 9.19/1.92 % (481851)Termination reason: Instruction limit
% 16.04/3.61 % (481851)Termination phase: Saturation
% 16.04/3.61 % (481851)Time elapsed: 0.122 s
% 16.04/3.61 % (481851)Peak memory usage: 13 MB
% 16.04/3.61 % (481851)Instructions burned: 132 (million)
% 16.04/3.61 % (481860)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1749128519:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 16.04/3.61 % TRYING [3]
% 16.04/3.61 % (481856)Instruction limit reached!
% 16.04/3.61 % (481856)------------------------------
% 16.04/3.61 % (481856)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.04/3.61 % (481856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.04/3.61 % (481856)CaDiCaL version: 2.1.3
% 16.04/3.61 % (481856)Termination reason: Instruction limit
% 16.04/3.61 % (481856)Termination phase: Saturation
% 16.04/3.61 % (481856)Time elapsed: 0.158 s
% 16.04/3.61 % (481856)Peak memory usage: 13 MB
% 16.04/3.61 % (481856)Instructions burned: 180 (million)
% 16.04/3.61 % TRYING [1]
% 16.04/3.61 % TRYING [2]
% 16.04/3.61 % (481867)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1818556187:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 16.04/3.61 % TRYING [3]
% 16.04/3.61 % TRYING [1]
% 16.04/3.61 % TRYING [2]
% 16.04/3.61 % (481850)Instruction limit reached!
% 16.04/3.61 % (481850)------------------------------
% 16.04/3.61 % (481850)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.04/3.61 % (481850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.04/3.61 % (481850)CaDiCaL version: 2.1.3
% 16.04/3.61 % (481850)Termination reason: Instruction limit
% 16.04/3.61 % (481850)Termination phase: Finite model building constraint generation
% 16.04/3.61 % (481850)Time elapsed: 0.469 s
% 16.04/3.61 % (481850)Peak memory usage: 24 MB
% 16.04/3.61 % (481850)Instructions burned: 714 (million)
% 16.04/3.61 % (481860)Instruction limit reached!
% 16.04/3.61 % (481860)------------------------------
% 16.04/3.61 % (481860)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.04/3.61 % (481860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.04/3.61 % (481860)CaDiCaL version: 2.1.3
% 16.04/3.61 % (481860)Termination reason: Instruction limit
% 16.04/3.61 % (481860)Termination phase: Saturation
% 16.04/3.61 % (481860)Time elapsed: 0.326 s
% 16.04/3.61 % (481860)Peak memory usage: 14 MB
% 16.04/3.61 % (481860)Instructions burned: 479 (million)
% 16.04/3.61 % (481872)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3067191935:i=889:ins=1_2993 on theBenchmark for (2993ds/889Mi)
% 16.04/3.61 % (481871)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3063411460:i=1179_2993 on theBenchmark for (2993ds/1179Mi)
% 16.04/3.61 % (481872)Cannot represent all propositional literals internally
% 16.04/3.61 % (481872)Refutation not found, incomplete strategy
% 16.04/3.61 % (481872)------------------------------
% 16.04/3.61 % (481872)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.04/3.61 % (481872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.04/3.61 % (481872)CaDiCaL version: 2.1.3
% 16.04/3.61 % (481872)Termination reason: Refutation not found, incomplete strategy
% 16.04/3.61 % (481872)Time elapsed: 0.076 s
% 16.04/3.61 % (481872)Peak memory usage: 13 MB
% 16.04/3.61 % (481872)Instructions burned: 296 (million)
% 16.04/3.61 % (481872)------------------------------
% 16.04/3.61 % (481872)------------------------------
% 16.04/3.61 % (481852)Instruction limit reached!
% 16.04/3.61 % (481852)------------------------------
% 16.04/3.62 % (481852)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.04/3.62 % (481852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.04/3.62 % (481852)CaDiCaL version: 2.1.3
% 16.04/3.62 % (481852)Termination reason: Instruction limit
% 16.04/3.62 % (481852)Termination phase: Saturation
% 16.04/3.62 % (481852)Time elapsed: 0.569 s
% 16.04/3.62 % (481852)Peak memory usage: 20 MB
% 16.04/3.62 % (481852)Instructions burned: 685 (million)
% 16.04/3.62 % (481875)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1452584102:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2992 on theBenchmark for (2992ds/692Mi)
% 16.04/3.62 % (481876)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3754961901:i=879:kws=inv_precedence:fsr=off_2992 on theBenchmark for (2992ds/879Mi)
% 16.04/3.62 % (481867)Instruction limit reached!
% 16.04/3.62 % (481867)------------------------------
% 16.04/3.62 % (481867)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.04/3.62 % (481867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.04/3.62 % (481867)CaDiCaL version: 2.1.3
% 16.04/3.62 % (481867)Termination reason: Instruction limit
% 16.04/3.62 % (481867)Termination phase: Finite model building constraint generation
% 16.04/3.62 % (481867)Time elapsed: 0.402 s
% 16.04/3.62 % (481867)Peak memory usage: 26 MB
% 16.04/3.62 % (481867)Instructions burned: 868 (million)
% 16.04/3.62 % (481879)fmb+10_1_sil=64000:random_seed=4100059666:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 16.04/3.62 % (481875)Instruction limit reached!
% 16.04/3.62 % (481875)------------------------------
% 16.04/3.62 % (481875)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.04/3.62 % (481875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.04/3.62 % (481875)CaDiCaL version: 2.1.3
% 16.04/3.62 % (481875)Termination reason: Instruction limit
% 16.04/3.62 % (481875)Termination phase: Saturation
% 16.04/3.62 % (481875)Time elapsed: 0.215 s
% 16.04/3.62 % (481875)Peak memory usage: 20 MB
% 16.04/3.62 % (481875)Instructions burned: 693 (million)
% 16.04/3.62 % (481882)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=642373339:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 16.04/3.62 % TRYING [4]
% 16.04/3.62 % TRYING [1]
% 16.04/3.62 % TRYING [2]
% 16.04/3.62 % (481882)Cannot represent all propositional literals internally
% 16.04/3.62 % (481882)Refutation not found, incomplete strategy
% 16.04/3.62 % (481882)------------------------------
% 16.04/3.62 % (481882)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.04/3.62 % (481882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.04/3.62 % (481882)CaDiCaL version: 2.1.3
% 16.04/3.62 % (481882)Termination reason: Refutation not found, incomplete strategy
% 16.04/3.62 % (481882)Time elapsed: 0.078 s
% 16.04/3.62 % (481882)Peak memory usage: 13 MB
% 16.04/3.62 % (481882)Instructions burned: 300 (million)
% 16.04/3.62 % (481882)------------------------------
% 16.04/3.62 % (481882)------------------------------
% 16.04/3.62 % (481923)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2048437209:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 16.04/3.62 % TRYING [8]
% 16.04/3.62 % (481876)Instruction limit reached!
% 16.04/3.62 % (481876)------------------------------
% 16.04/3.62 % (481876)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.04/3.62 % (481876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.04/3.62 % (481876)CaDiCaL version: 2.1.3
% 16.04/3.62 % (481876)Termination reason: Instruction limit
% 16.04/3.62 % (481876)Termination phase: Saturation
% 16.04/3.62 % (481876)Time elapsed: 0.475 s
% 16.04/3.62 % (481876)Peak memory usage: 21 MB
% 16.04/3.62 % (481876)Instructions burned: 880 (million)
% 16.04/3.62 % TRYING [3]
% 16.04/3.62 % (481980)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1380297893:i=5131_2987 on theBenchmark for (2987ds/5131Mi)
% 16.04/3.62 % (481923)Instruction limit reached!
% 16.04/3.62 % (481923)------------------------------
% 16.04/3.62 % (481923)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.04/3.62 % (481923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.04/3.62 % (481923)CaDiCaL version: 2.1.3
% 16.04/3.62 % (481923)Termination reason: Instruction limit
% 16.04/3.62 % (481923)Termination phase: Finite model building constraint generation
% 16.04/3.62 % (481923)Time elapsed: 0.194 s
% 16.04/3.62 % (481923)Peak memory usage: 56 MB
% 16.04/3.62 % (481923)Instructions burned: 926 (million)
% 16.04/3.62 % (481993)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1671675138:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 16.04/3.62 % (481871)Instruction limit reached!
% 16.04/3.62 % (481871)------------------------------
% 16.04/3.62 % (481871)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.04/3.62 % (481871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.04/3.62 % (481871)CaDiCaL version: 2.1.3
% 16.04/3.62 % (481871)Termination reason: Instruction limit
% 16.04/3.62 % (481871)Termination phase: Saturation
% 16.04/3.62 % (481871)Time elapsed: 0.688 s
% 16.04/3.62 % (481871)Peak memory usage: 25 MB
% 16.04/3.62 % (481871)Instructions burned: 1179 (million)
% 16.04/3.62 % (481995)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2355541515:i=6324_2986 on theBenchmark for (2986ds/6324Mi)
% 16.04/3.62 % (481995)Cannot represent all propositional literals internally
% 16.04/3.62 % (481995)Refutation not found, incomplete strategy
% 16.04/3.62 % (481995)------------------------------
% 16.04/3.62 % (481995)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.04/3.62 % (481995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.04/3.62 % (481995)CaDiCaL version: 2.1.3
% 16.04/3.62 % (481995)Termination reason: Refutation not found, incomplete strategy
% 16.04/3.62 % (481995)Time elapsed: 0.148 s
% 16.04/3.62 % (481995)Peak memory usage: 13 MB
% 16.04/3.62 % (481995)Instructions burned: 304 (million)
% 16.04/3.62 % (481995)------------------------------
% 16.04/3.62 % (481995)------------------------------
% 16.04/3.62 % (482044)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=380755320:fmbsr=2.30978:i=2174_2984 on theBenchmark for (2984ds/2174Mi)
% 16.04/3.62 % (481993)Instruction limit reached!
% 16.04/3.62 % (481993)------------------------------
% 16.04/3.62 % (481993)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.04/3.62 % (481993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.04/3.62 % (481993)CaDiCaL version: 2.1.3
% 16.04/3.62 % (481993)Termination reason: Instruction limit
% 16.04/3.62 % (481993)Termination phase: Saturation
% 16.04/3.62 % (481993)Time elapsed: 0.337 s
% 16.04/3.62 % (481993)Peak memory usage: 22 MB
% 16.04/3.62 % (481993)Instructions burned: 1474 (million)
% 16.04/3.62 % (482046)ott-2_1_sil=16000:newcnf=on:random_seed=336111448:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2983 on theBenchmark for (2983ds/869Mi)
% 16.04/3.62 % (482046)Instruction limit reached!
% 16.04/3.62 % (482046)------------------------------
% 16.04/3.62 % (482046)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.04/3.62 % (482046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.04/3.62 % (482046)CaDiCaL version: 2.1.3
% 16.04/3.62 % (482046)Termination reason: Instruction limit
% 16.04/3.62 % (482046)Termination phase: Saturation
% 16.04/3.62 % (482046)Time elapsed: 0.276 s
% 16.04/3.62 % (482046)Peak memory usage: 20 MB
% 16.04/3.62 % (482046)Instructions burned: 872 (million)
% 16.04/3.62 % (482048)ott+10_1_sil=32000:tgt=ground:random_seed=4162331289:i=5114:av=off_2981 on theBenchmark for (2981ds/5114Mi)
% 16.04/3.62 % (482044)Cannot represent all propositional literals internally
% 16.04/3.62 % (482044)Refutation not found, incomplete strategy
% 16.04/3.62 % (482044)------------------------------
% 16.04/3.62 % (482044)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.04/3.62 % (482044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.04/3.62 % (482044)CaDiCaL version: 2.1.3
% 16.04/3.62 % (482044)Termination reason: Refutation not found, incomplete strategy
% 16.04/3.62 % (482044)Time elapsed: 0.831 s
% 16.04/3.62 % (482044)Peak memory usage: 19 MB
% 16.04/3.62 % (482044)Instructions burned: 1626 (million)
% 16.04/3.62 % (482044)------------------------------
% 16.04/3.62 % (482044)------------------------------
% 16.04/3.62 % (482050)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=522008096:i=54282_2976 on theBenchmark for (2976ds/54282Mi)
% 16.04/3.62 % TRYING [1]
% 16.04/3.62 % TRYING [2]
% 16.04/3.62 % TRYING [3]
% 16.04/3.62 % TRYING [4]
% 16.04/3.62 % TRYING [4]
% 16.04/3.62 % (482048) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-481823-482048"...
% 16.04/3.62 % (482048)...printing done.
% 16.04/3.62 % (482048)Refutation found. Thanks to Tanya!
% 16.04/3.62 % SZS status Unsatisfiable for theBenchmark
% 16.04/3.62 % SZS output start Proof for theBenchmark
% See solution above
% 16.04/3.62 % (482048)------------------------------
% 16.04/3.62 % (482048)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.04/3.62 % (482048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.04/3.62 % (482048)CaDiCaL version: 2.1.3
% 16.04/3.62 % (482048)Termination reason: Refutation
% 16.04/3.62 % (482048)Time elapsed: 1.240 s
% 16.04/3.62 % (482048)Peak memory usage: 61 MB
% 16.04/3.62 % (482048)Instructions burned: 4023 (million)
% 16.04/3.62 % (481823)Success in time 3.205 s
% 16.04/3.62 % Vampire exiting
%------------------------------------------------------------------------------