%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET018-7 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 12:42:39 PM UTC 2026
% Result : Unsatisfiable 0.94s 0.57s
% Output : Refutation 0.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 13 ( 9 unt; 0 def)
% Number of atoms : 20 ( 14 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 15 ( 8 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/SET004-0.ax',ordered_pair) ).
fof(f173,axiom,
! [X2,X3,X0,X1] :
( ordered_pair(X0,X1) != ordered_pair(X2,X3)
| ~ member(X1,universal_class)
| X1 = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ordered_pair_determines_components2) ).
fof(f191,negated_conjecture,
ordered_pair(w,x) = ordered_pair(y,z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ordered_pair_determines_components2_1) ).
fof(f192,negated_conjecture,
member(x,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ordered_pair_determines_components2_2) ).
fof(f193,negated_conjecture,
x != z,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ordered_pair_determines_components2_3) ).
fof(f198,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(f283,plain,
! [X2,X3,X0,X1] :
( unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))) != unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3)))
| ~ member(X1,universal_class)
| X1 = X3 ),
inference(definition_unfolding,[],[f173,f198,f198]) ).
fof(f298,plain,
unordered_pair(unordered_pair(w,w),unordered_pair(w,unordered_pair(x,x))) = unordered_pair(unordered_pair(y,y),unordered_pair(y,unordered_pair(z,z))),
inference(definition_unfolding,[],[f191,f198,f198]) ).
fof(f325,plain,
! [X0,X1] :
( unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))) != unordered_pair(unordered_pair(w,w),unordered_pair(w,unordered_pair(x,x)))
| ~ member(X1,universal_class)
| z = X1 ),
inference(superposition,[],[f283,f298]) ).
fof(f335,plain,
( ~ member(x,universal_class)
| x = z ),
inference(equality_resolution,[],[f325]) ).
fof(f336,plain,
x = z,
inference(forward_subsumption_resolution,[],[f335,f192]) ).
fof(f337,plain,
$false,
inference(forward_subsumption_resolution,[],[f336,f193]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET018-7 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n013.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 28 00:07:52 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 Running first-order model finding
% 0.11/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.94/0.57 % (682201)Will run a generic schedule for satisfiability detection.
% 0.94/0.57 % (682209)dis+10_1_sil=32000:sp=arity:random_seed=3039690274:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.94/0.57 % (682207)% WARNING: option uhcvi not known.
% 0.94/0.57 % (682206)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3198030450_2999 on theBenchmark for (2999ds/0Mi)
% 0.94/0.57 % (682210)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3532464478:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.94/0.57 % (682207)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4080173758:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.94/0.57 % (682208)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1593508825:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.94/0.57 % (682212)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4093977455:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.94/0.57 % (682211)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2757759239:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.94/0.57 % (682209)Instruction limit reached!
% 0.94/0.57 % (682209)------------------------------
% 0.94/0.57 % (682209)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.57 % (682209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.57 % (682209)CaDiCaL version: 2.1.3
% 0.94/0.57 % (682209)Termination reason: Instruction limit
% 0.94/0.57 % (682209)Termination phase: Saturation
% 0.94/0.57 % (682209)Time elapsed: 0.037 s
% 0.94/0.57 % (682209)Peak memory usage: 12 MB
% 0.94/0.57 % (682209)Instructions burned: 104 (million)
% 0.94/0.57 % (682220)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=610875327:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.94/0.57 % (682210)Instruction limit reached!
% 0.94/0.57 % (682210)------------------------------
% 0.94/0.57 % (682210)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.57 % (682210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.57 % (682210)CaDiCaL version: 2.1.3
% 0.94/0.57 % (682210)Termination reason: Instruction limit
% 0.94/0.57 % (682210)Termination phase: Saturation
% 0.94/0.57 % (682210)Time elapsed: 0.068 s
% 0.94/0.57 % (682210)Peak memory usage: 12 MB
% 0.94/0.57 % (682210)Instructions burned: 116 (million)
% 0.94/0.57 % (682211)Instruction limit reached!
% 0.94/0.57 % (682211)------------------------------
% 0.94/0.57 % (682211)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.57 % (682211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.57 % (682211)CaDiCaL version: 2.1.3
% 0.94/0.57 % (682211)Termination reason: Instruction limit
% 0.94/0.57 % (682211)Termination phase: Saturation
% 0.94/0.57 % (682211)Time elapsed: 0.082 s
% 0.94/0.57 % (682211)Peak memory usage: 13 MB
% 0.94/0.57 % (682211)Instructions burned: 132 (million)
% 0.94/0.57 % (682222)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=152962088:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.94/0.57 % (682223)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=1852893642:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.94/0.57 % (682223) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-682201-682223"...
% 0.94/0.57 % (682223)...printing done.
% 0.94/0.57 % (682223)Refutation found. Thanks to Tanya!
% 0.94/0.57 % SZS status Unsatisfiable for theBenchmark
% 0.94/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.94/0.57 % (682223)------------------------------
% 0.94/0.57 % (682223)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.57 % (682223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.57 % (682223)CaDiCaL version: 2.1.3
% 0.94/0.57 % (682223)Termination reason: Refutation
% 0.94/0.57 % (682223)Time elapsed: 0.006 s
% 0.94/0.57 % (682223)Peak memory usage: 13 MB
% 0.94/0.57 % (682223)Instructions burned: 9 (million)
% 0.94/0.57 % (682201)Success in time 0.151 s
% 0.94/0.57 % Vampire exiting
%------------------------------------------------------------------------------