%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET075-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 12:39:58 PM UTC 2026
% Result : Unsatisfiable 3.53s 1.52s
% Output : Refutation 3.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 10 ( 7 unt; 0 def)
% Number of atoms : 13 ( 2 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 5 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 7 ( 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair2) ).
fof(f103,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X0,universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_1_to_cartesian_product) ).
fof(f113,axiom,
! [X0] : ~ member(X0,null_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_null_class) ).
fof(f128,negated_conjecture,
member(ordered_pair(x,y),cross_product(u,v)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_to_unordered_pair_axiom3_1) ).
fof(f129,negated_conjecture,
unordered_pair(x,y) = null_class,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_to_unordered_pair_axiom3_2) ).
fof(f130,plain,
null_class = unordered_pair(x,y),
inference(reorient_equations,[],[f129]) ).
fof(f138,plain,
( member(x,null_class)
| ~ member(x,universal_class) ),
inference(superposition,[],[f9,f130]) ).
fof(f141,plain,
~ member(x,universal_class),
inference(forward_subsumption_resolution,[],[f138,f113]) ).
fof(f164,plain,
member(x,universal_class),
inference(resolution,[],[f103,f128]) ).
fof(f165,plain,
$false,
inference(forward_subsumption_resolution,[],[f164,f141]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET075-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 % Computer : n014.cluster.edu
% 0.12/0.41 % Model : x86_64 x86_64
% 0.12/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.41 % Memory : 8046.5625MB
% 0.12/0.41 % OS : Linux 6.8.0-71-generic
% 0.12/0.41 % CPULimit : 300
% 0.12/0.41 % WCLimit : 300
% 0.12/0.41 % DateTime : Mon Sep 28 00:31:02 UTC 2026
% 0.12/0.42 % CPUTime :
% 0.12/0.42 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.45 Running first-order theorem proving
% 0.12/0.45 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.53/1.52 % (1317782)Input is clausal, will run a generic CNF schedule.
% 3.53/1.52 % (1317793)dis-21_1_sil=8000:lcm=predicate:random_seed=3827048679:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.53/1.52 % (1317790)lrs+10_1_sil=8000:sp=occurrence:random_seed=3208998286:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.53/1.52 % (1317788)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4115341920:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.53/1.52 % (1317791)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1023494832:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.53/1.52 % (1317787)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2471668662:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.53/1.52 % (1317789)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1210104595:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.53/1.52 % (1317790)First to succeed.
% 3.53/1.52 % (1317790)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1317782"
% 3.53/1.52 % (1317791)Also succeeded, but the first one will report.
% 3.53/1.52 % (1317792)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1775333583:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.53/1.52 % (1317793)Instruction limit reached!
% 3.53/1.52 % (1317793)------------------------------
% 3.53/1.52 % (1317793)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.53/1.52 % (1317793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/1.52 % (1317793)CaDiCaL version: 2.1.3
% 3.53/1.52 % (1317793)Termination reason: Instruction limit
% 3.53/1.52 % (1317793)Termination phase: Saturation
% 3.53/1.52 % (1317793)Time elapsed: 0.042 s
% 3.53/1.52 % (1317793)Peak memory usage: 89 MB
% 3.53/1.52 % (1317793)Instructions burned: 118 (million)
% 3.53/1.52 % (1317792)Also succeeded, but the first one will report.
% 3.53/1.52 % (1317801)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=2218246676:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.53/1.52 % (1317801)Also succeeded, but the first one will report.
% 3.53/1.52 % (1317790)Refutation found. Thanks to Tanya!
% 3.53/1.52 % SZS status Unsatisfiable for theBenchmark
% 3.53/1.52 % SZS output start Proof for theBenchmark
% See solution above
% 3.53/1.52 % (1317790)------------------------------
% 3.53/1.52 % (1317790)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.53/1.52 % (1317790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/1.52 % (1317790)CaDiCaL version: 2.1.3
% 3.53/1.52 % (1317790)Termination reason: Refutation
% 3.53/1.52 % (1317790)Time elapsed: 0.003 s
% 3.53/1.52 % (1317790)Peak memory usage: 88 MB
% 3.53/1.52 % (1317790)Instructions burned: 2 (million)
% 3.53/1.52 % (1317790)------------------------------
% 3.53/1.52 % (1317790)------------------------------
% 3.53/1.52 % (1317782)Success in time 0.409 s
% 3.53/1.52 % Vampire exiting
%------------------------------------------------------------------------------