%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET120-7 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n017.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 12:43:12 PM UTC 2026
% Result : Unsatisfiable 43.70s 8.92s
% Output : Refutation 43.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 40 ( 16 unt; 0 def)
% Number of atoms : 65 ( 39 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 42 ( 17 ~; 25 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 49 ( 49 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',singleton_set) ).
fof(f13,axiom,
! [X0,X1] : unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))) = ordered_pair(X0,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',ordered_pair) ).
fof(f14,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',cartesian_product1) ).
fof(f120,axiom,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_unordered_pair) ).
fof(f123,axiom,
! [X0,X1] :
( member(X0,universal_class)
| unordered_pair(X1,X0) = singleton(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair_equals_singleton1) ).
fof(f138,axiom,
! [X0] :
( member(X0,universal_class)
| singleton(X0) = null_class ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_is_null_class) ).
fof(f176,axiom,
! [X0] :
( member(ordered_pair(first(X0),second(X0)),cross_product(universal_class,universal_class))
| second(X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_1st_and_2nd_3) ).
fof(f178,axiom,
! [X0] :
( ordered_pair(first(X0),second(X0)) = X0
| second(X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_1st_and_2nd_5) ).
fof(f187,negated_conjecture,
~ member(x,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_2_to_OP_determines_components1_1) ).
fof(f188,negated_conjecture,
second(ordered_pair(x,y)) != ordered_pair(x,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_2_to_OP_determines_components1_2) ).
fof(f189,plain,
ordered_pair(x,y) != second(ordered_pair(x,y)),
inference(reorient_equations,[],[f188]) ).
fof(f194,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),
inference(definition_unfolding,[],[f13,f12,f12]) ).
fof(f201,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(X2,X3))
| member(X0,X2) ),
inference(definition_unfolding,[],[f14,f194]) ).
fof(f245,plain,
! [X0,X1] :
( member(X0,universal_class)
| unordered_pair(X1,X0) = unordered_pair(X1,X1) ),
inference(definition_unfolding,[],[f123,f12]) ).
fof(f256,plain,
! [X0] :
( member(X0,universal_class)
| unordered_pair(X0,X0) = null_class ),
inference(definition_unfolding,[],[f138,f12]) ).
fof(f282,plain,
! [X0] :
( member(unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(second(X0),second(X0)))),cross_product(universal_class,universal_class))
| second(X0) = X0 ),
inference(definition_unfolding,[],[f176,f194]) ).
fof(f284,plain,
! [X0] :
( unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(second(X0),second(X0)))) = X0
| second(X0) = X0 ),
inference(definition_unfolding,[],[f178,f194]) ).
fof(f292,plain,
unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y))) != second(unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y)))),
inference(definition_unfolding,[],[f189,f194,f194]) ).
fof(f303,plain,
! [X2,X3,X0,X1] :
( ~ member(X0,X2)
| member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(X2,X3)) ),
inference(consistent_polarity_flipping,[],[f201]) ).
fof(f365,plain,
! [X0,X1] :
( ~ member(X0,universal_class)
| unordered_pair(X1,X0) = unordered_pair(X1,X1) ),
inference(consistent_polarity_flipping,[],[f245]) ).
fof(f380,plain,
! [X0] :
( ~ member(X0,universal_class)
| unordered_pair(X0,X0) = null_class ),
inference(consistent_polarity_flipping,[],[f256]) ).
fof(f404,plain,
! [X0] :
( ~ member(unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(second(X0),second(X0)))),cross_product(universal_class,universal_class))
| second(X0) = X0 ),
inference(consistent_polarity_flipping,[],[f282]) ).
fof(f411,plain,
member(x,universal_class),
inference(consistent_polarity_flipping,[],[f187]) ).
fof(f475,plain,
null_class = unordered_pair(x,x),
inference(resolution,[],[f380,f411]) ).
fof(f477,plain,
unordered_pair(null_class,unordered_pair(x,unordered_pair(y,y))) != second(unordered_pair(null_class,unordered_pair(x,unordered_pair(y,y)))),
inference(superposition,[],[f292,f475]) ).
fof(f648,plain,
! [X0] : unordered_pair(X0,X0) = unordered_pair(X0,x),
inference(resolution,[],[f365,f411]) ).
fof(f1190,plain,
! [X0,X1] : member(unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(X0,X0))),cross_product(universal_class,X1)),
inference(resolution,[],[f303,f411]) ).
fof(f1211,plain,
! [X0,X1] : member(unordered_pair(null_class,unordered_pair(x,unordered_pair(X0,X0))),cross_product(universal_class,X1)),
inference(forward_demodulation,[],[f1190,f475]) ).
fof(f1716,plain,
! [X0] :
( unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(second(X0),x))) = X0
| second(X0) = X0 ),
inference(forward_demodulation,[],[f284,f648]) ).
fof(f1717,plain,
! [X0] :
( unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(x,second(X0)))) = X0
| second(X0) = X0 ),
inference(forward_demodulation,[],[f1716,f120]) ).
fof(f1718,plain,
! [X0] :
( unordered_pair(unordered_pair(first(X0),x),unordered_pair(first(X0),unordered_pair(x,second(X0)))) = X0
| second(X0) = X0 ),
inference(forward_demodulation,[],[f1717,f648]) ).
fof(f1719,plain,
! [X0] :
( unordered_pair(unordered_pair(x,first(X0)),unordered_pair(first(X0),unordered_pair(x,second(X0)))) = X0
| second(X0) = X0 ),
inference(forward_demodulation,[],[f1718,f120]) ).
fof(f1906,plain,
! [X0] :
( ~ member(unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(second(X0),x))),cross_product(universal_class,universal_class))
| second(X0) = X0 ),
inference(forward_demodulation,[],[f404,f648]) ).
fof(f1907,plain,
! [X0] :
( ~ member(unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(x,second(X0)))),cross_product(universal_class,universal_class))
| second(X0) = X0 ),
inference(forward_demodulation,[],[f1906,f120]) ).
fof(f1908,plain,
! [X0] :
( ~ member(unordered_pair(unordered_pair(first(X0),x),unordered_pair(first(X0),unordered_pair(x,second(X0)))),cross_product(universal_class,universal_class))
| second(X0) = X0 ),
inference(forward_demodulation,[],[f1907,f648]) ).
fof(f1909,plain,
! [X0] :
( ~ member(unordered_pair(unordered_pair(x,first(X0)),unordered_pair(first(X0),unordered_pair(x,second(X0)))),cross_product(universal_class,universal_class))
| second(X0) = X0 ),
inference(forward_demodulation,[],[f1908,f120]) ).
fof(f1921,plain,
! [X0] :
( ~ member(X0,cross_product(universal_class,universal_class))
| second(X0) = X0
| second(X0) = X0 ),
inference(superposition,[],[f1909,f1719]) ).
fof(f1923,plain,
! [X0] :
( ~ member(X0,cross_product(universal_class,universal_class))
| second(X0) = X0 ),
inference(duplicate_literal_removal,[],[f1921]) ).
fof(f4279,plain,
! [X0] : unordered_pair(null_class,unordered_pair(x,unordered_pair(X0,X0))) = second(unordered_pair(null_class,unordered_pair(x,unordered_pair(X0,X0)))),
inference(resolution,[],[f1211,f1923]) ).
fof(f252250,plain,
$false,
inference(backward_subsumption_resolution,[],[f477,f4279]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET120-7 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.37 % Computer : n017.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 28 00:44:35 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 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
% 17.49/2.99 % (3116698)Will run a generic schedule for satisfiability detection.
% 17.49/2.99 % (3116705)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1792352193:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 17.49/2.99 % (3116704)% WARNING: option uhcvi not known.
% 17.49/2.99 % (3116706)dis+10_1_sil=32000:sp=arity:random_seed=1846976818:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 17.49/2.99 % (3116703)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2543990125_2999 on theBenchmark for (2999ds/0Mi)
% 17.49/2.99 % (3116704)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2943916503:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 17.49/2.99 % (3116707)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=534226946:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 17.49/2.99 % (3116709)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3425505668:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 17.49/2.99 % (3116708)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1754190896:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 17.49/2.99 % (3116706)Instruction limit reached!
% 17.49/2.99 % (3116706)------------------------------
% 17.49/2.99 % (3116706)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.49/2.99 % (3116706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.49/2.99 % (3116706)CaDiCaL version: 2.1.3
% 17.49/2.99 % (3116706)Termination reason: Instruction limit
% 17.49/2.99 % (3116706)Termination phase: Saturation
% 17.49/2.99 % (3116706)Time elapsed: 0.064 s
% 17.49/2.99 % (3116706)Peak memory usage: 12 MB
% 17.49/2.99 % (3116706)Instructions burned: 104 (million)
% 17.49/2.99 % (3116707)Instruction limit reached!
% 17.49/2.99 % (3116707)------------------------------
% 17.49/2.99 % (3116707)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.49/2.99 % (3116707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.49/2.99 % (3116707)CaDiCaL version: 2.1.3
% 17.49/2.99 % (3116707)Termination reason: Instruction limit
% 17.49/2.99 % (3116707)Termination phase: Saturation
% 17.49/2.99 % (3116707)Time elapsed: 0.071 s
% 17.49/2.99 % (3116707)Peak memory usage: 12 MB
% 17.49/2.99 % (3116707)Instructions burned: 117 (million)
% 17.49/2.99 % (3116708)Instruction limit reached!
% 17.49/2.99 % (3116708)------------------------------
% 17.49/2.99 % (3116708)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.49/2.99 % (3116708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.49/2.99 % (3116708)CaDiCaL version: 2.1.3
% 17.49/2.99 % (3116708)Termination reason: Instruction limit
% 17.49/2.99 % (3116708)Termination phase: Saturation
% 17.49/2.99 % (3116708)Time elapsed: 0.081 s
% 17.49/2.99 % (3116708)Peak memory usage: 12 MB
% 17.49/2.99 % (3116708)Instructions burned: 132 (million)
% 17.49/2.99 % (3116717)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1731578854:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 17.49/2.99 % (3116718)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2068294841:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 17.49/2.99 % (3116719)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=374012735:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 17.49/2.99 % (3116709)Instruction limit reached!
% 17.49/2.99 % (3116709)------------------------------
% 17.49/2.99 % (3116709)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.49/2.99 % (3116709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.49/2.99 % (3116709)CaDiCaL version: 2.1.3
% 17.49/2.99 % (3116709)Termination reason: Instruction limit
% 17.49/2.99 % (3116709)Termination phase: Saturation
% 17.49/2.99 % (3116709)Time elapsed: 0.115 s
% 17.49/2.99 % (3116709)Peak memory usage: 14 MB
% 17.49/2.99 % (3116709)Instructions burned: 160 (million)
% 17.49/2.99 % (3116723)ott-21_1_sil=16000:fs=off:random_seed=1166531953:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 17.49/2.99 % (3116718)Instruction limit reached!
% 17.49/2.99 % (3116718)------------------------------
% 17.49/2.99 % (3116718)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.49/2.99 % (3116718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.49/2.99 % (3116718)CaDiCaL version: 2.1.3
% 45.29/6.88 % (3116718)Termination reason: Instruction limit
% 45.29/6.88 % (3116718)Termination phase: Saturation
% 45.29/6.88 % (3116718)Time elapsed: 0.085 s
% 45.29/6.88 % (3116718)Peak memory usage: 13 MB
% 45.29/6.88 % (3116718)Instructions burned: 131 (million)
% 45.29/6.88 % (3116725)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2770163066:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 45.29/6.88 % TRYING [1]
% 45.29/6.88 % TRYING [2]
% 45.29/6.88 % (3116723)Instruction limit reached!
% 45.29/6.88 % (3116723)------------------------------
% 45.29/6.88 % (3116723)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.29/6.88 % (3116723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.29/6.88 % (3116723)CaDiCaL version: 2.1.3
% 45.29/6.88 % (3116723)Termination reason: Instruction limit
% 45.29/6.88 % (3116723)Termination phase: Saturation
% 45.29/6.88 % (3116723)Time elapsed: 0.088 s
% 45.29/6.88 % (3116723)Peak memory usage: 12 MB
% 45.29/6.88 % (3116723)Instructions burned: 182 (million)
% 45.29/6.88 % TRYING [3]
% 45.29/6.88 % (3116727)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=726609957:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 45.29/6.88 % TRYING [1]
% 45.29/6.88 % TRYING [2]
% 45.29/6.88 % TRYING [3]
% 45.29/6.88 % TRYING [4]
% 45.29/6.88 % (3116717)Instruction limit reached!
% 45.29/6.88 % (3116717)------------------------------
% 45.29/6.88 % (3116717)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.29/6.88 % (3116717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.29/6.88 % (3116717)CaDiCaL version: 2.1.3
% 45.29/6.88 % (3116717)Termination reason: Instruction limit
% 45.29/6.88 % (3116717)Termination phase: Finite model building constraint generation
% 45.29/6.88 % (3116717)Time elapsed: 0.328 s
% 45.29/6.88 % (3116717)Peak memory usage: 34 MB
% 45.29/6.88 % (3116717)Instructions burned: 714 (million)
% 45.29/6.88 % (3116729)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=4255584247:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 45.29/6.88 % TRYING [1]
% 45.29/6.88 % TRYING [2]
% 45.29/6.88 % (3116719)Instruction limit reached!
% 45.29/6.88 % (3116719)------------------------------
% 45.29/6.88 % (3116719)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.29/6.88 % (3116719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.29/6.88 % (3116719)CaDiCaL version: 2.1.3
% 45.29/6.88 % (3116719)Termination reason: Instruction limit
% 45.29/6.88 % (3116719)Termination phase: Saturation
% 45.29/6.88 % (3116719)Time elapsed: 0.360 s
% 45.29/6.88 % (3116719)Peak memory usage: 17 MB
% 45.29/6.88 % (3116719)Instructions burned: 685 (million)
% 45.29/6.88 % (3116731)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2719081727:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 45.29/6.88 % (3116725)Instruction limit reached!
% 45.29/6.88 % (3116725)------------------------------
% 45.29/6.88 % (3116725)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.29/6.88 % (3116725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.29/6.88 % (3116725)CaDiCaL version: 2.1.3
% 45.29/6.88 % (3116725)Termination reason: Instruction limit
% 45.29/6.88 % (3116725)Termination phase: Saturation
% 45.29/6.88 % (3116725)Time elapsed: 0.321 s
% 45.29/6.88 % (3116725)Peak memory usage: 14 MB
% 45.29/6.88 % (3116725)Instructions burned: 478 (million)
% 45.29/6.88 % (3116733)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=2028418990:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 45.29/6.88 % TRYING [3]
% 45.29/6.88 % (3116727)Instruction limit reached!
% 45.29/6.88 % (3116727)------------------------------
% 45.29/6.88 % (3116727)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.29/6.88 % (3116727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.29/6.88 % (3116727)CaDiCaL version: 2.1.3
% 45.29/6.88 % (3116727)Termination reason: Instruction limit
% 45.29/6.88 % (3116727)Termination phase: Finite model building constraint generation
% 45.29/6.88 % (3116727)Time elapsed: 0.404 s
% 45.29/6.88 % (3116727)Peak memory usage: 28 MB
% 45.29/6.88 % (3116727)Instructions burned: 867 (million)
% 45.29/6.88 % (3116735)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1846759901:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 45.29/6.88 % (3116731)Instruction limit reached!
% 45.29/6.88 % (3116731)------------------------------
% 45.29/6.88 % (3116731)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.70/8.92 % (3116731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.70/8.92 % (3116731)CaDiCaL version: 2.1.3
% 43.70/8.92 % (3116731)Termination reason: Instruction limit
% 43.70/8.92 % (3116731)Termination phase: Finite model building constraint generation
% 43.70/8.92 % (3116731)Time elapsed: 0.441 s
% 43.70/8.92 % (3116731)Peak memory usage: 77 MB
% 43.70/8.92 % (3116731)Instructions burned: 890 (million)
% 43.70/8.92 % (3116733)Instruction limit reached!
% 43.70/8.92 % (3116733)------------------------------
% 43.70/8.92 % (3116733)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.70/8.92 % (3116733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.70/8.92 % (3116733)CaDiCaL version: 2.1.3
% 43.70/8.92 % (3116733)Termination reason: Instruction limit
% 43.70/8.92 % (3116733)Termination phase: Saturation
% 43.70/8.92 % (3116733)Time elapsed: 0.411 s
% 43.70/8.92 % (3116733)Peak memory usage: 16 MB
% 43.70/8.92 % (3116733)Instructions burned: 692 (million)
% 43.70/8.92 % (3116737)fmb+10_1_sil=64000:random_seed=898341993:i=22061:nm=2:gsp=on_2990 on theBenchmark for (2990ds/22061Mi)
% 43.70/8.92 % (3116738)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2148575375:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 43.70/8.92 % (3116729)Instruction limit reached!
% 43.70/8.92 % (3116729)------------------------------
% 43.70/8.92 % (3116729)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.70/8.92 % (3116729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.70/8.92 % (3116729)CaDiCaL version: 2.1.3
% 43.70/8.92 % (3116729)Termination reason: Instruction limit
% 43.70/8.92 % (3116729)Termination phase: Saturation
% 43.70/8.92 % (3116729)Time elapsed: 0.663 s
% 43.70/8.92 % (3116729)Peak memory usage: 19 MB
% 43.70/8.92 % (3116729)Instructions burned: 1180 (million)
% 43.70/8.92 % (3116741)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=339225053:fmbsr=1.7:i=920_2988 on theBenchmark for (2988ds/920Mi)
% 43.70/8.92 % TRYING [1]
% 43.70/8.92 % (3116735)Instruction limit reached!
% 43.70/8.92 % (3116735)------------------------------
% 43.70/8.92 % (3116735)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.70/8.92 % (3116735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.70/8.92 % (3116735)CaDiCaL version: 2.1.3
% 43.70/8.92 % (3116735)Termination reason: Instruction limit
% 43.70/8.92 % (3116735)Termination phase: Saturation
% 43.70/8.92 % (3116735)Time elapsed: 0.491 s
% 43.70/8.92 % (3116735)Peak memory usage: 19 MB
% 43.70/8.92 % (3116735)Instructions burned: 880 (million)
% 43.70/8.92 % TRYING [2]
% 43.70/8.92 % TRYING [20]
% 43.70/8.92 % (3116743)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1476940396:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 43.70/8.92 % TRYING [5]
% 43.70/8.92 % TRYING [3]
% 43.70/8.92 % TRYING [8]
% 43.70/8.92 % (3116741)Instruction limit reached!
% 43.70/8.92 % (3116741)------------------------------
% 43.70/8.92 % (3116741)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.70/8.92 % (3116741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.70/8.92 % (3116741)CaDiCaL version: 2.1.3
% 43.70/8.92 % (3116741)Termination reason: Instruction limit
% 43.70/8.92 % (3116741)Termination phase: Finite model building constraint generation
% 43.70/8.92 % (3116741)Time elapsed: 0.373 s
% 43.70/8.92 % (3116741)Peak memory usage: 45 MB
% 43.70/8.92 % (3116741)Instructions burned: 921 (million)
% 43.70/8.92 % (3116745)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=669965917:i=1472:ins=7:fdi=8:gsp=on_2984 on theBenchmark for (2984ds/1472Mi)
% 43.70/8.92 % TRYING [4]
% 43.70/8.92 % (3116745)Instruction limit reached!
% 43.70/8.92 % (3116745)------------------------------
% 43.70/8.92 % (3116745)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.70/8.92 % (3116745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.70/8.92 % (3116745)CaDiCaL version: 2.1.3
% 43.70/8.92 % (3116745)Termination reason: Instruction limit
% 43.70/8.92 % (3116745)Termination phase: Saturation
% 43.70/8.92 % (3116745)Time elapsed: 0.798 s
% 43.70/8.92 % (3116745)Peak memory usage: 31 MB
% 43.70/8.92 % (3116745)Instructions burned: 1473 (million)
% 43.70/8.92 % (3116747)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=621117968:i=6324_2976 on theBenchmark for (2976ds/6324Mi)
% 43.70/8.92 % (3116747)Cannot represent all propositional literals internally
% 43.70/8.92 % (3116747)Refutation not found, incomplete strategy
% 43.70/8.92 % (3116747)------------------------------
% 43.70/8.92 % (3116747)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.70/8.92 % (3116747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.70/8.92 % (3116747)CaDiCaL version: 2.1.3
% 43.70/8.92 % (3116747)Termination reason: Refutation not found, incomplete strategy
% 43.70/8.92 % (3116747)Time elapsed: 0.200 s
% 43.70/8.92 % (3116747)Peak memory usage: 13 MB
% 43.70/8.92 % (3116747)Instructions burned: 384 (million)
% 43.70/8.92 % (3116747)------------------------------
% 43.70/8.92 % (3116747)------------------------------
% 43.70/8.92 % (3116749)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1732147684:fmbsr=2.30978:i=2174_2974 on theBenchmark for (2974ds/2174Mi)
% 43.70/8.92 % (3116749)Cannot represent all propositional literals internally
% 43.70/8.92 % (3116749)Refutation not found, incomplete strategy
% 43.70/8.92 % (3116749)------------------------------
% 43.70/8.92 % (3116749)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.70/8.92 % (3116749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.70/8.92 % (3116749)CaDiCaL version: 2.1.3
% 43.70/8.92 % (3116749)Termination reason: Refutation not found, incomplete strategy
% 43.70/8.92 % (3116749)Time elapsed: 1.064 s
% 43.70/8.92 % (3116749)Peak memory usage: 18 MB
% 43.70/8.92 % (3116749)Instructions burned: 1959 (million)
% 43.70/8.92 % (3116749)------------------------------
% 43.70/8.92 % (3116749)------------------------------
% 43.70/8.92 % (3116751)ott-2_1_sil=16000:newcnf=on:random_seed=3168593475:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2963 on theBenchmark for (2963ds/869Mi)
% 43.70/8.92 % (3116743)Instruction limit reached!
% 43.70/8.92 % (3116743)------------------------------
% 43.70/8.92 % (3116743)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.70/8.92 % (3116743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.70/8.92 % (3116743)CaDiCaL version: 2.1.3
% 43.70/8.92 % (3116743)Termination reason: Instruction limit
% 43.70/8.92 % (3116743)Termination phase: Saturation
% 43.70/8.92 % (3116743)Time elapsed: 2.545 s
% 43.70/8.92 % (3116743)Peak memory usage: 35 MB
% 43.70/8.92 % (3116743)Instructions burned: 5131 (million)
% 43.70/8.92 % (3116753)ott+10_1_sil=32000:tgt=ground:random_seed=1340326705:i=5114:av=off_2962 on theBenchmark for (2962ds/5114Mi)
% 43.70/8.92 % (3116751)Instruction limit reached!
% 43.70/8.92 % (3116751)------------------------------
% 43.70/8.92 % (3116751)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.70/8.92 % (3116751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.70/8.92 % (3116751)CaDiCaL version: 2.1.3
% 43.70/8.92 % (3116751)Termination reason: Instruction limit
% 43.70/8.92 % (3116751)Termination phase: Saturation
% 43.70/8.92 % (3116751)Time elapsed: 0.516 s
% 43.70/8.92 % (3116751)Peak memory usage: 16 MB
% 43.70/8.92 % (3116751)Instructions burned: 870 (million)
% 43.70/8.92 % (3116755)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3114862872:i=54282_2958 on theBenchmark for (2958ds/54282Mi)
% 43.70/8.92 % TRYING [1]
% 43.70/8.92 % TRYING [2]
% 43.70/8.92 % TRYING [3]
% 43.70/8.92 % (3116738)Instruction limit reached!
% 43.70/8.92 % (3116738)------------------------------
% 43.70/8.92 % (3116738)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.70/8.92 % (3116738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.70/8.92 % (3116738)CaDiCaL version: 2.1.3
% 43.70/8.92 % (3116738)Termination reason: Instruction limit
% 43.70/8.92 % (3116738)Termination phase: Finite model building constraint generation
% 43.70/8.92 % (3116738)Time elapsed: 3.520 s
% 43.70/8.92 % (3116738)Peak memory usage: 636 MB
% 43.70/8.92 % (3116738)Instructions burned: 9515 (million)
% 43.70/8.92 % (3116757)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=3236745619:i=3512:aac=none_2953 on theBenchmark for (2953ds/3512Mi)
% 43.70/8.92 % TRYING [4]
% 43.70/8.92 % TRYING [6]
% 43.70/8.92 % TRYING [5]
% 43.70/8.92 % TRYING [5]
% 43.70/8.92 % (3116757)Instruction limit reached!
% 43.70/8.92 % (3116757)------------------------------
% 43.70/8.92 % (3116757)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.70/8.92 % (3116757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.70/8.92 % (3116757)CaDiCaL version: 2.1.3
% 43.70/8.92 % (3116757)Termination reason: Instruction limit
% 43.70/8.92 % (3116757)Termination phase: Saturation
% 43.70/8.92 % (3116757)Time elapsed: 1.835 s
% 43.70/8.92 % (3116757)Peak memory usage: 30 MB
% 43.70/8.92 % (3116757)Instructions burned: 3513 (million)
% 43.70/8.92 % (3116759)dis+21_1_sil=32000:sas=cadical:random_seed=1159481693:i=3773:amm=off_2935 on theBenchmark for (2935ds/3773Mi)
% 43.70/8.92 % (3116753)Instruction limit reached!
% 43.70/8.92 % (3116753)------------------------------
% 43.70/8.92 % (3116753)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.70/8.92 % (3116753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.70/8.92 % (3116753)CaDiCaL version: 2.1.3
% 43.70/8.92 % (3116753)Termination reason: Instruction limit
% 43.70/8.92 % (3116753)Termination phase: Saturation
% 43.70/8.92 % (3116753)Time elapsed: 2.955 s
% 43.70/8.92 % (3116753)Peak memory usage: 36 MB
% 43.70/8.92 % (3116753)Instructions burned: 5114 (million)
% 43.70/8.92 % (3116761)ott+11_1_sil=16000:gs=on:random_seed=3961726410:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2932 on theBenchmark for (2932ds/2251Mi)
% 43.70/8.92 % (3116761)Instruction limit reached!
% 43.70/8.92 % (3116761)------------------------------
% 43.70/8.92 % (3116761)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.70/8.92 % (3116761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.70/8.92 % (3116761)CaDiCaL version: 2.1.3
% 43.70/8.92 % (3116761)Termination reason: Instruction limit
% 43.70/8.92 % (3116761)Termination phase: Saturation
% 43.70/8.92 % (3116761)Time elapsed: 1.200 s
% 43.70/8.92 % (3116761)Peak memory usage: 21 MB
% 43.70/8.92 % (3116761)Instructions burned: 2252 (million)
% 43.70/8.92 % (3116763)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=1786664645:fmbsr=1.6:i=67534_2920 on theBenchmark for (2920ds/67534Mi)
% 43.70/8.92 % (3116704) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3116698-3116704"...
% 43.70/8.92 % (3116704)...printing done.
% 43.70/8.92 % (3116704)Refutation found. Thanks to Tanya!
% 43.70/8.92 % SZS status Unsatisfiable for theBenchmark
% 43.70/8.92 % SZS output start Proof for theBenchmark
% See solution above
% 43.70/8.92 % (3116704)------------------------------
% 43.70/8.92 % (3116704)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.70/8.92 % (3116704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.70/8.92 % (3116704)CaDiCaL version: 2.1.3
% 43.70/8.92 % (3116704)Termination reason: Refutation
% 43.70/8.92 % (3116704)Time elapsed: 8.336 s
% 43.70/8.92 % (3116704)Peak memory usage: 70 MB
% 43.70/8.92 % (3116704)Instructions burned: 15780 (million)
% 43.70/8.92 % (3116698)Success in time 8.503 s
% 43.70/8.92 % Vampire exiting
%------------------------------------------------------------------------------