%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET119-7 : 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 : n008.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 12:43:11 PM UTC 2026
% Result : Unsatisfiable 50.16s 8.88s
% Output : Refutation 50.16s
% 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(f175,axiom,
! [X0] :
( member(ordered_pair(first(X0),second(X0)),cross_product(universal_class,universal_class))
| first(X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_1st_and_2nd_2) ).
fof(f177,axiom,
! [X0] :
( ordered_pair(first(X0),second(X0)) = X0
| first(X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_1st_and_2nd_4) ).
fof(f187,negated_conjecture,
~ member(x,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_1_to_OP_determines_components1_1) ).
fof(f188,negated_conjecture,
first(ordered_pair(x,y)) != ordered_pair(x,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_1_to_OP_determines_components1_2) ).
fof(f189,plain,
ordered_pair(x,y) != first(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(f281,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))
| first(X0) = X0 ),
inference(definition_unfolding,[],[f175,f194]) ).
fof(f283,plain,
! [X0] :
( unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(second(X0),second(X0)))) = X0
| first(X0) = X0 ),
inference(definition_unfolding,[],[f177,f194]) ).
fof(f292,plain,
unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y))) != first(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(f361,plain,
! [X0,X1] :
( ~ member(X0,universal_class)
| unordered_pair(X1,X0) = unordered_pair(X1,X1) ),
inference(consistent_polarity_flipping,[],[f245]) ).
fof(f376,plain,
! [X0] :
( ~ member(X0,universal_class)
| unordered_pair(X0,X0) = null_class ),
inference(consistent_polarity_flipping,[],[f256]) ).
fof(f399,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))
| first(X0) = X0 ),
inference(consistent_polarity_flipping,[],[f281]) ).
fof(f407,plain,
member(x,universal_class),
inference(consistent_polarity_flipping,[],[f187]) ).
fof(f462,plain,
null_class = unordered_pair(x,x),
inference(resolution,[],[f376,f407]) ).
fof(f464,plain,
unordered_pair(null_class,unordered_pair(x,unordered_pair(y,y))) != first(unordered_pair(null_class,unordered_pair(x,unordered_pair(y,y)))),
inference(superposition,[],[f292,f462]) ).
fof(f611,plain,
! [X0] : unordered_pair(X0,X0) = unordered_pair(X0,x),
inference(resolution,[],[f361,f407]) ).
fof(f1033,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,f407]) ).
fof(f1054,plain,
! [X0,X1] : member(unordered_pair(null_class,unordered_pair(x,unordered_pair(X0,X0))),cross_product(universal_class,X1)),
inference(forward_demodulation,[],[f1033,f462]) ).
fof(f1422,plain,
! [X0] :
( unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(second(X0),x))) = X0
| first(X0) = X0 ),
inference(forward_demodulation,[],[f283,f611]) ).
fof(f1423,plain,
! [X0] :
( unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(x,second(X0)))) = X0
| first(X0) = X0 ),
inference(forward_demodulation,[],[f1422,f120]) ).
fof(f1424,plain,
! [X0] :
( unordered_pair(unordered_pair(first(X0),x),unordered_pair(first(X0),unordered_pair(x,second(X0)))) = X0
| first(X0) = X0 ),
inference(forward_demodulation,[],[f1423,f611]) ).
fof(f1425,plain,
! [X0] :
( unordered_pair(unordered_pair(x,first(X0)),unordered_pair(first(X0),unordered_pair(x,second(X0)))) = X0
| first(X0) = X0 ),
inference(forward_demodulation,[],[f1424,f120]) ).
fof(f1631,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))
| first(X0) = X0 ),
inference(forward_demodulation,[],[f399,f611]) ).
fof(f1632,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))
| first(X0) = X0 ),
inference(forward_demodulation,[],[f1631,f120]) ).
fof(f1633,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))
| first(X0) = X0 ),
inference(forward_demodulation,[],[f1632,f611]) ).
fof(f1634,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))
| first(X0) = X0 ),
inference(forward_demodulation,[],[f1633,f120]) ).
fof(f1638,plain,
! [X0] :
( ~ member(X0,cross_product(universal_class,universal_class))
| first(X0) = X0
| first(X0) = X0 ),
inference(superposition,[],[f1634,f1425]) ).
fof(f1639,plain,
! [X0] :
( ~ member(X0,cross_product(universal_class,universal_class))
| first(X0) = X0 ),
inference(duplicate_literal_removal,[],[f1638]) ).
fof(f3126,plain,
! [X0] : unordered_pair(null_class,unordered_pair(x,unordered_pair(X0,X0))) = first(unordered_pair(null_class,unordered_pair(x,unordered_pair(X0,X0)))),
inference(resolution,[],[f1054,f1639]) ).
fof(f241930,plain,
$false,
inference(backward_subsumption_resolution,[],[f464,f3126]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET119-7 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n008.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 00:50:09 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.16/0.41 Running first-order model finding
% 0.16/0.41 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
% 17.35/2.97 % (1766983)Will run a generic schedule for satisfiability detection.
% 17.35/2.97 % (1766988)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=408389856_2999 on theBenchmark for (2999ds/0Mi)
% 17.35/2.97 % (1766990)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3942951244:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 17.35/2.97 % (1766991)dis+10_1_sil=32000:sp=arity:random_seed=2339231560:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 17.35/2.97 % (1766992)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2932388176:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 17.35/2.97 % (1766989)% WARNING: option uhcvi not known.
% 17.35/2.97 % (1766993)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3615265550:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 17.35/2.97 % (1766994)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2926216238:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 17.35/2.97 % (1766989)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2294606300:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 17.35/2.97 % (1766994)Instruction limit reached!
% 17.35/2.97 % (1766994)------------------------------
% 17.35/2.97 % (1766994)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.35/2.97 % (1766994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.35/2.97 % (1766994)CaDiCaL version: 2.1.3
% 17.35/2.97 % (1766994)Termination reason: Instruction limit
% 17.35/2.97 % (1766994)Termination phase: Saturation
% 17.35/2.97 % (1766994)Time elapsed: 0.060 s
% 17.35/2.97 % (1766994)Peak memory usage: 12 MB
% 17.35/2.97 % (1766994)Instructions burned: 159 (million)
% 17.35/2.97 % (1766991)Instruction limit reached!
% 17.35/2.97 % (1766991)------------------------------
% 17.35/2.97 % (1766991)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.35/2.97 % (1766991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.35/2.97 % (1766991)CaDiCaL version: 2.1.3
% 17.35/2.97 % (1766991)Termination reason: Instruction limit
% 17.35/2.97 % (1766991)Termination phase: Saturation
% 17.35/2.97 % (1766991)Time elapsed: 0.064 s
% 17.35/2.97 % (1766991)Peak memory usage: 12 MB
% 17.35/2.97 % (1766991)Instructions burned: 104 (million)
% 17.35/2.97 % (1766992)Instruction limit reached!
% 17.35/2.97 % (1766992)------------------------------
% 17.35/2.97 % (1766992)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.35/2.97 % (1766992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.35/2.97 % (1766992)CaDiCaL version: 2.1.3
% 17.35/2.97 % (1766992)Termination reason: Instruction limit
% 17.35/2.97 % (1766992)Termination phase: Saturation
% 17.35/2.97 % (1766992)Time elapsed: 0.071 s
% 17.35/2.97 % (1766992)Peak memory usage: 12 MB
% 17.35/2.97 % (1766992)Instructions burned: 117 (million)
% 17.35/2.97 % (1767002)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2858093658:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 17.35/2.97 % (1766993)Instruction limit reached!
% 17.35/2.97 % (1766993)------------------------------
% 17.35/2.97 % (1766993)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.35/2.97 % (1766993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.35/2.97 % (1766993)CaDiCaL version: 2.1.3
% 17.35/2.97 % (1766993)Termination reason: Instruction limit
% 17.35/2.97 % (1766993)Termination phase: Saturation
% 17.35/2.97 % (1766993)Time elapsed: 0.081 s
% 17.35/2.97 % (1766993)Peak memory usage: 12 MB
% 17.35/2.97 % (1766993)Instructions burned: 131 (million)
% 17.35/2.97 % (1767003)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4010781124:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 17.35/2.97 % (1767004)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=4011389766:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 17.35/2.97 % TRYING [1]
% 17.35/2.97 % TRYING [2]
% 17.35/2.97 % (1767006)ott-21_1_sil=16000:fs=off:random_seed=1287405396:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 17.35/2.97 % TRYING [3]
% 17.35/2.97 % (1767003)Instruction limit reached!
% 17.35/2.97 % (1767003)------------------------------
% 17.35/2.97 % (1767003)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.35/2.97 % (1767003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.14/6.84 % (1767003)CaDiCaL version: 2.1.3
% 45.14/6.84 % (1767003)Termination reason: Instruction limit
% 45.14/6.84 % (1767003)Termination phase: Saturation
% 45.14/6.84 % (1767003)Time elapsed: 0.085 s
% 45.14/6.84 % (1767003)Peak memory usage: 13 MB
% 45.14/6.84 % (1767003)Instructions burned: 131 (million)
% 45.14/6.84 % (1767010)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2225420922:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 45.14/6.84 % (1767006)Instruction limit reached!
% 45.14/6.84 % (1767006)------------------------------
% 45.14/6.84 % (1767006)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.14/6.84 % (1767006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.14/6.84 % (1767006)CaDiCaL version: 2.1.3
% 45.14/6.84 % (1767006)Termination reason: Instruction limit
% 45.14/6.84 % (1767006)Termination phase: Saturation
% 45.14/6.84 % (1767006)Time elapsed: 0.089 s
% 45.14/6.84 % (1767006)Peak memory usage: 13 MB
% 45.14/6.84 % (1767006)Instructions burned: 181 (million)
% 45.14/6.84 % (1767012)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=4065085293:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 45.14/6.84 % TRYING [4]
% 45.14/6.84 % TRYING [1]
% 45.14/6.84 % TRYING [2]
% 45.14/6.84 % TRYING [3]
% 45.14/6.84 % TRYING [1]
% 45.14/6.84 % (1767002)Instruction limit reached!
% 45.14/6.84 % (1767002)------------------------------
% 45.14/6.84 % (1767002)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.14/6.84 % (1767002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.14/6.84 % (1767002)CaDiCaL version: 2.1.3
% 45.14/6.84 % (1767002)Termination reason: Instruction limit
% 45.14/6.84 % (1767002)Termination phase: Finite model building constraint generation
% 45.14/6.84 % (1767002)Time elapsed: 0.328 s
% 45.14/6.84 % (1767002)Peak memory usage: 34 MB
% 45.14/6.84 % (1767002)Instructions burned: 714 (million)
% 45.14/6.84 % TRYING [2]
% 45.14/6.84 % (1767014)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=23638161:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 45.14/6.84 % (1767004)Instruction limit reached!
% 45.14/6.84 % (1767004)------------------------------
% 45.14/6.84 % (1767004)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.14/6.84 % (1767004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.14/6.84 % (1767004)CaDiCaL version: 2.1.3
% 45.14/6.84 % (1767004)Termination reason: Instruction limit
% 45.14/6.84 % (1767004)Termination phase: Saturation
% 45.14/6.84 % (1767004)Time elapsed: 0.345 s
% 45.14/6.84 % (1767004)Peak memory usage: 16 MB
% 45.14/6.84 % (1767004)Instructions burned: 686 (million)
% 45.14/6.84 % (1767016)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1075800949:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 45.14/6.84 % (1767010)Instruction limit reached!
% 45.14/6.84 % (1767010)------------------------------
% 45.14/6.84 % (1767010)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.14/6.84 % (1767010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.14/6.84 % (1767010)CaDiCaL version: 2.1.3
% 45.14/6.84 % (1767010)Termination reason: Instruction limit
% 45.14/6.84 % (1767010)Termination phase: Saturation
% 45.14/6.84 % (1767010)Time elapsed: 0.323 s
% 45.14/6.84 % (1767010)Peak memory usage: 14 MB
% 45.14/6.84 % (1767010)Instructions burned: 478 (million)
% 45.14/6.84 % (1767018)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=2045809685: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)
% 45.14/6.84 % TRYING [3]
% 45.14/6.84 % (1767012)Instruction limit reached!
% 45.14/6.84 % (1767012)------------------------------
% 45.14/6.84 % (1767012)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.14/6.84 % (1767012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.14/6.84 % (1767012)CaDiCaL version: 2.1.3
% 45.14/6.84 % (1767012)Termination reason: Instruction limit
% 45.14/6.84 % (1767012)Termination phase: Finite model building constraint generation
% 45.14/6.84 % (1767012)Time elapsed: 0.402 s
% 45.14/6.84 % (1767012)Peak memory usage: 28 MB
% 45.14/6.84 % (1767012)Instructions burned: 866 (million)
% 45.14/6.84 % (1767020)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2313389820:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 45.14/6.84 % TRYING [5]
% 45.14/6.84 % (1767016)Instruction limit reached!
% 45.14/6.84 % (1767016)------------------------------
% 45.14/6.84 % (1767016)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.16/8.87 % (1767016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.16/8.87 % (1767016)CaDiCaL version: 2.1.3
% 50.16/8.87 % (1767016)Termination reason: Instruction limit
% 50.16/8.87 % (1767016)Termination phase: Finite model building constraint generation
% 50.16/8.87 % (1767016)Time elapsed: 0.446 s
% 50.16/8.87 % (1767016)Peak memory usage: 77 MB
% 50.16/8.87 % (1767016)Instructions burned: 891 (million)
% 50.16/8.87 % (1767022)fmb+10_1_sil=64000:random_seed=4057971915:i=22061:nm=2:gsp=on_2990 on theBenchmark for (2990ds/22061Mi)
% 50.16/8.87 % (1767018)Instruction limit reached!
% 50.16/8.87 % (1767018)------------------------------
% 50.16/8.87 % (1767018)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.16/8.87 % (1767018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.16/8.87 % (1767018)CaDiCaL version: 2.1.3
% 50.16/8.87 % (1767018)Termination reason: Instruction limit
% 50.16/8.87 % (1767018)Termination phase: Saturation
% 50.16/8.87 % (1767018)Time elapsed: 0.403 s
% 50.16/8.87 % (1767018)Peak memory usage: 17 MB
% 50.16/8.87 % (1767018)Instructions burned: 692 (million)
% 50.16/8.87 % (1767024)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2119385724:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 50.16/8.87 % (1767014)Instruction limit reached!
% 50.16/8.87 % (1767014)------------------------------
% 50.16/8.87 % (1767014)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.16/8.87 % (1767014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.16/8.87 % (1767014)CaDiCaL version: 2.1.3
% 50.16/8.87 % (1767014)Termination reason: Instruction limit
% 50.16/8.87 % (1767014)Termination phase: Saturation
% 50.16/8.87 % (1767014)Time elapsed: 0.638 s
% 50.16/8.87 % (1767014)Peak memory usage: 19 MB
% 50.16/8.87 % (1767014)Instructions burned: 1180 (million)
% 50.16/8.87 % (1767026)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1838050789:fmbsr=1.7:i=920_2988 on theBenchmark for (2988ds/920Mi)
% 50.16/8.87 % (1767020)Instruction limit reached!
% 50.16/8.87 % (1767020)------------------------------
% 50.16/8.87 % (1767020)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.16/8.87 % (1767020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.16/8.87 % (1767020)CaDiCaL version: 2.1.3
% 50.16/8.87 % (1767020)Termination reason: Instruction limit
% 50.16/8.87 % (1767020)Termination phase: Saturation
% 50.16/8.87 % (1767020)Time elapsed: 0.485 s
% 50.16/8.87 % (1767020)Peak memory usage: 18 MB
% 50.16/8.87 % (1767020)Instructions burned: 880 (million)
% 50.16/8.87 % TRYING [1]
% 50.16/8.87 % TRYING [2]
% 50.16/8.87 % (1767028)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=4094580821:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 50.16/8.87 % TRYING [20]
% 50.16/8.87 % TRYING [3]
% 50.16/8.87 % TRYING [8]
% 50.16/8.87 % (1767026)Instruction limit reached!
% 50.16/8.87 % (1767026)------------------------------
% 50.16/8.87 % (1767026)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.16/8.87 % (1767026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.16/8.87 % (1767026)CaDiCaL version: 2.1.3
% 50.16/8.87 % (1767026)Termination reason: Instruction limit
% 50.16/8.87 % (1767026)Termination phase: Finite model building constraint generation
% 50.16/8.87 % (1767026)Time elapsed: 0.372 s
% 50.16/8.87 % (1767026)Peak memory usage: 46 MB
% 50.16/8.87 % (1767026)Instructions burned: 921 (million)
% 50.16/8.87 % (1767030)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=4026122898:i=1472:ins=7:fdi=8:gsp=on_2984 on theBenchmark for (2984ds/1472Mi)
% 50.16/8.87 % TRYING [4]
% 50.16/8.87 % (1767030)Instruction limit reached!
% 50.16/8.87 % (1767030)------------------------------
% 50.16/8.87 % (1767030)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.16/8.87 % (1767030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.16/8.87 % (1767030)CaDiCaL version: 2.1.3
% 50.16/8.87 % (1767030)Termination reason: Instruction limit
% 50.16/8.87 % (1767030)Termination phase: Saturation
% 50.16/8.87 % (1767030)Time elapsed: 0.791 s
% 50.16/8.87 % (1767030)Peak memory usage: 31 MB
% 50.16/8.87 % (1767030)Instructions burned: 1473 (million)
% 50.16/8.87 % (1767032)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=860222050:i=6324_2976 on theBenchmark for (2976ds/6324Mi)
% 50.16/8.87 % (1767032)Cannot represent all propositional literals internally
% 50.16/8.87 % (1767032)Refutation not found, incomplete strategy
% 50.16/8.87 % (1767032)------------------------------
% 50.16/8.87 % (1767032)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.16/8.87 % (1767032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.16/8.87 % (1767032)CaDiCaL version: 2.1.3
% 50.16/8.87 % (1767032)Termination reason: Refutation not found, incomplete strategy
% 50.16/8.87 % (1767032)Time elapsed: 0.201 s
% 50.16/8.87 % (1767032)Peak memory usage: 13 MB
% 50.16/8.87 % (1767032)Instructions burned: 384 (million)
% 50.16/8.87 % (1767032)------------------------------
% 50.16/8.87 % (1767032)------------------------------
% 50.16/8.87 % (1767034)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=4163442494:fmbsr=2.30978:i=2174_2974 on theBenchmark for (2974ds/2174Mi)
% 50.16/8.87 % TRYING [6]
% 50.16/8.87 % (1767034)Cannot represent all propositional literals internally
% 50.16/8.87 % (1767034)Refutation not found, incomplete strategy
% 50.16/8.87 % (1767034)------------------------------
% 50.16/8.87 % (1767034)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.16/8.87 % (1767034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.16/8.87 % (1767034)CaDiCaL version: 2.1.3
% 50.16/8.87 % (1767034)Termination reason: Refutation not found, incomplete strategy
% 50.16/8.87 % (1767034)Time elapsed: 1.060 s
% 50.16/8.87 % (1767034)Peak memory usage: 18 MB
% 50.16/8.87 % (1767034)Instructions burned: 1959 (million)
% 50.16/8.87 % (1767034)------------------------------
% 50.16/8.87 % (1767034)------------------------------
% 50.16/8.87 % (1767036)ott-2_1_sil=16000:newcnf=on:random_seed=1987513350:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2963 on theBenchmark for (2963ds/869Mi)
% 50.16/8.87 % (1767028)Instruction limit reached!
% 50.16/8.87 % (1767028)------------------------------
% 50.16/8.87 % (1767028)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.16/8.87 % (1767028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.16/8.87 % (1767028)CaDiCaL version: 2.1.3
% 50.16/8.87 % (1767028)Termination reason: Instruction limit
% 50.16/8.87 % (1767028)Termination phase: Saturation
% 50.16/8.87 % (1767028)Time elapsed: 2.538 s
% 50.16/8.87 % (1767028)Peak memory usage: 35 MB
% 50.16/8.87 % (1767028)Instructions burned: 5133 (million)
% 50.16/8.87 % (1767038)ott+10_1_sil=32000:tgt=ground:random_seed=2907193926:i=5114:av=off_2962 on theBenchmark for (2962ds/5114Mi)
% 50.16/8.87 % (1767036)Instruction limit reached!
% 50.16/8.87 % (1767036)------------------------------
% 50.16/8.87 % (1767036)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.16/8.87 % (1767036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.16/8.87 % (1767036)CaDiCaL version: 2.1.3
% 50.16/8.87 % (1767036)Termination reason: Instruction limit
% 50.16/8.87 % (1767036)Termination phase: Saturation
% 50.16/8.87 % (1767036)Time elapsed: 0.509 s
% 50.16/8.87 % (1767036)Peak memory usage: 16 MB
% 50.16/8.87 % (1767036)Instructions burned: 869 (million)
% 50.16/8.87 % (1767040)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2375140090:i=54282_2958 on theBenchmark for (2958ds/54282Mi)
% 50.16/8.87 % TRYING [1]
% 50.16/8.87 % TRYING [2]
% 50.16/8.87 % TRYING [3]
% 50.16/8.87 % (1767024)Instruction limit reached!
% 50.16/8.87 % (1767024)------------------------------
% 50.16/8.87 % (1767024)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.16/8.87 % (1767024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.16/8.87 % (1767024)CaDiCaL version: 2.1.3
% 50.16/8.87 % (1767024)Termination reason: Instruction limit
% 50.16/8.87 % (1767024)Termination phase: Finite model building constraint generation
% 50.16/8.87 % (1767024)Time elapsed: 3.496 s
% 50.16/8.87 % (1767024)Peak memory usage: 636 MB
% 50.16/8.87 % (1767024)Instructions burned: 9515 (million)
% 50.16/8.87 % (1767042)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=629424683:i=3512:aac=none_2954 on theBenchmark for (2954ds/3512Mi)
% 50.16/8.87 % TRYING [4]
% 50.16/8.87 % TRYING [5]
% 50.16/8.87 % TRYING [5]
% 50.16/8.87 % (1767042)Instruction limit reached!
% 50.16/8.87 % (1767042)------------------------------
% 50.16/8.87 % (1767042)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.16/8.87 % (1767042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.16/8.87 % (1767042)CaDiCaL version: 2.1.3
% 50.16/8.87 % (1767042)Termination reason: Instruction limit
% 50.16/8.87 % (1767042)Termination phase: Saturation
% 50.16/8.87 % (1767042)Time elapsed: 1.823 s
% 50.16/8.87 % (1767042)Peak memory usage: 29 MB
% 50.16/8.87 % (1767042)Instructions burned: 3512 (million)
% 50.16/8.88 % (1767044)dis+21_1_sil=32000:sas=cadical:random_seed=2063453350:i=3773:amm=off_2935 on theBenchmark for (2935ds/3773Mi)
% 50.16/8.88 % (1767038)Instruction limit reached!
% 50.16/8.88 % (1767038)------------------------------
% 50.16/8.88 % (1767038)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.16/8.88 % (1767038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.16/8.88 % (1767038)CaDiCaL version: 2.1.3
% 50.16/8.88 % (1767038)Termination reason: Instruction limit
% 50.16/8.88 % (1767038)Termination phase: Saturation
% 50.16/8.88 % (1767038)Time elapsed: 2.949 s
% 50.16/8.88 % (1767038)Peak memory usage: 36 MB
% 50.16/8.88 % (1767038)Instructions burned: 5115 (million)
% 50.16/8.88 % (1767046)ott+11_1_sil=16000:gs=on:random_seed=22462305:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2932 on theBenchmark for (2932ds/2251Mi)
% 50.16/8.88 % (1767046)Instruction limit reached!
% 50.16/8.88 % (1767046)------------------------------
% 50.16/8.88 % (1767046)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.16/8.88 % (1767046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.16/8.88 % (1767046)CaDiCaL version: 2.1.3
% 50.16/8.88 % (1767046)Termination reason: Instruction limit
% 50.16/8.88 % (1767046)Termination phase: Saturation
% 50.16/8.88 % (1767046)Time elapsed: 1.203 s
% 50.16/8.88 % (1767046)Peak memory usage: 21 MB
% 50.16/8.88 % (1767046)Instructions burned: 2252 (million)
% 50.16/8.88 % (1767048)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=929580065:fmbsr=1.6:i=67534_2920 on theBenchmark for (2920ds/67534Mi)
% 50.16/8.88 % (1766989) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1766983-1766989"...
% 50.16/8.88 % (1766989)...printing done.
% 50.16/8.88 % (1766989)Refutation found. Thanks to Tanya!
% 50.16/8.88 % SZS status Unsatisfiable for theBenchmark
% 50.16/8.88 % SZS output start Proof for theBenchmark
% See solution above
% 50.16/8.88 % (1766989)------------------------------
% 50.16/8.88 % (1766989)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.16/8.88 % (1766989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.16/8.88 % (1766989)CaDiCaL version: 2.1.3
% 50.16/8.88 % (1766989)Termination reason: Refutation
% 50.16/8.88 % (1766989)Time elapsed: 8.156 s
% 50.16/8.88 % (1766989)Peak memory usage: 66 MB
% 50.16/8.88 % (1766989)Instructions burned: 15582 (million)
% 50.16/8.88 % (1766983)Success in time 8.454 s
% 50.16/8.88 % Vampire exiting
%------------------------------------------------------------------------------