%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET052-6 : 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 : n016.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 12:39:48 PM UTC 2026
% Result : Unsatisfiable 2.79s 1.38s
% Output : Refutation 2.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of formulae : 9 ( 6 unt; 0 def)
% Number of atoms : 13 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 11 ( 7 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_members) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f14,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartesian_product1) ).
fof(f101,negated_conjecture,
member(ordered_pair(u,v),cross_product(x,y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_1_to_cartesian_product_1) ).
fof(f102,negated_conjecture,
~ member(u,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_1_to_cartesian_product_2) ).
fof(f135,plain,
! [X0] :
( ~ member(u,X0)
| ~ subclass(X0,universal_class) ),
inference(resolution,[],[f1,f102]) ).
fof(f136,plain,
! [X0] : ~ member(u,X0),
inference(forward_subsumption_resolution,[],[f135,f4]) ).
fof(f145,plain,
member(u,x),
inference(resolution,[],[f14,f101]) ).
fof(f147,plain,
$false,
inference(forward_subsumption_resolution,[],[f145,f136]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET052-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n016.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Mon Sep 28 00:27:18 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.43 Running first-order theorem proving
% 0.13/0.43 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
% 2.79/1.38 % (3146899)Input is clausal, will run a generic CNF schedule.
% 2.79/1.38 % (3146909)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1517675316:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.79/1.38 % (3146909)First to succeed.
% 2.79/1.38 % (3146909)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3146899"
% 2.79/1.38 % (3146908)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4175716391:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.79/1.38 % (3146905)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2289929757:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.79/1.38 % (3146904)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=4182001886:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.79/1.38 % (3146910)dis-21_1_sil=8000:lcm=predicate:random_seed=3361967598: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)
% 2.79/1.38 % (3146906)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3151511844:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.79/1.38 % (3146907)lrs+10_1_sil=8000:sp=occurrence:random_seed=1136982083:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.79/1.38 % (3146907)Refutation not found, incomplete strategy
% 2.79/1.38 % (3146907)------------------------------
% 2.79/1.38 % (3146907)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.79/1.38 % (3146907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.79/1.38 % (3146907)CaDiCaL version: 2.1.3
% 2.79/1.38 % (3146907)Termination reason: Refutation not found, incomplete strategy
% 2.79/1.38 % (3146907)Time elapsed: 0.001 s
% 2.79/1.38 % (3146907)Peak memory usage: 87 MB
% 2.79/1.38 % (3146908)Also succeeded, but the first one will report.
% 2.79/1.38 % (3146910)Also succeeded, but the first one will report.
% 2.79/1.38 % (3146909)Refutation found. Thanks to Tanya!
% 2.79/1.38 % SZS status Unsatisfiable for theBenchmark
% 2.79/1.38 % SZS output start Proof for theBenchmark
% See solution above
% 2.79/1.38 % (3146909)------------------------------
% 2.79/1.38 % (3146909)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.79/1.38 % (3146909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.79/1.38 % (3146909)CaDiCaL version: 2.1.3
% 2.79/1.38 % (3146909)Termination reason: Refutation
% 2.79/1.38 % (3146909)Time elapsed: 0.004 s
% 2.79/1.38 % (3146909)Peak memory usage: 88 MB
% 2.79/1.38 % (3146909)Instructions burned: 6 (million)
% 2.79/1.38 % (3146909)------------------------------
% 2.79/1.38 % (3146909)------------------------------
% 2.79/1.38 % (3146899)Success in time 0.315 s
% 2.79/1.38 % Vampire exiting
%------------------------------------------------------------------------------