%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET114-7 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 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 12:40:10 PM UTC 2026
% Result : Unsatisfiable 3.59s 1.42s
% Output : Refutation 3.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of formulae : 6 ( 5 unt; 0 def)
% Number of atoms : 7 ( 4 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 4 ( 3 ~; 1 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 1 ( 1 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(f181,negated_conjecture,
~ member(ordered_pair(first(x),second(x)),cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_unique_1st_and_2nd_in_pair_of_non_sets2_1) ).
fof(f182,negated_conjecture,
second(x) != x,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_unique_2nd_in_pair_of_non_sets) ).
fof(f183,plain,
x != second(x),
inference(reorient_equations,[],[f182]) ).
fof(f270,plain,
x = second(x),
inference(resolution,[],[f176,f181]) ).
fof(f281,plain,
$false,
inference(forward_subsumption_resolution,[],[f270,f183]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET114-7 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 % Computer : n017.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 00:42:36 UTC 2026
% 0.12/0.41 % CPUTime :
% 0.12/0.41 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.44 Running first-order theorem proving
% 0.12/0.44 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
% 3.59/1.42 % (3115072)Input is clausal, will run a generic CNF schedule.
% 3.59/1.42 % (3115079)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3846598904:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.59/1.42 % (3115078)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3210010791:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.59/1.42 % (3115077)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=1212916702:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.59/1.42 % (3115081)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=806091605:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.59/1.42 % (3115080)lrs+10_1_sil=8000:sp=occurrence:random_seed=4133198703:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.59/1.42 % (3115083)dis-21_1_sil=8000:lcm=predicate:random_seed=4268083854: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)
% 3.59/1.42 % (3115080)First to succeed.
% 3.59/1.42 % (3115080)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3115072"
% 3.59/1.42 % (3115082)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3513576070:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.59/1.42 % (3115082)Also succeeded, but the first one will report.
% 3.59/1.42 % (3115081)Also succeeded, but the first one will report.
% 3.59/1.42 % (3115083)Instruction limit reached!
% 3.59/1.42 % (3115083)------------------------------
% 3.59/1.42 % (3115083)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.59/1.42 % (3115083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.59/1.42 % (3115083)CaDiCaL version: 2.1.3
% 3.59/1.42 % (3115083)Termination reason: Instruction limit
% 3.59/1.42 % (3115083)Termination phase: Saturation
% 3.59/1.42 % (3115083)Time elapsed: 0.078 s
% 3.59/1.42 % (3115083)Peak memory usage: 89 MB
% 3.59/1.42 % (3115083)Instructions burned: 118 (million)
% 3.59/1.42 % (3115091)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=693646654:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.59/1.42 % (3115091)Also succeeded, but the first one will report.
% 3.59/1.42 % (3115080)Refutation found. Thanks to Tanya!
% 3.59/1.42 % SZS status Unsatisfiable for theBenchmark
% 3.59/1.42 % SZS output start Proof for theBenchmark
% See solution above
% 3.59/1.42 % (3115080)------------------------------
% 3.59/1.42 % (3115080)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.59/1.42 % (3115080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.59/1.42 % (3115080)CaDiCaL version: 2.1.3
% 3.59/1.42 % (3115080)Termination reason: Refutation
% 3.59/1.42 % (3115080)Time elapsed: 0.005 s
% 3.59/1.42 % (3115080)Peak memory usage: 88 MB
% 3.59/1.42 % (3115080)Instructions burned: 4 (million)
% 3.59/1.42 % (3115080)------------------------------
% 3.59/1.42 % (3115080)------------------------------
% 3.59/1.42 % (3115072)Success in time 0.439 s
% 3.59/1.42 % Vampire exiting
%------------------------------------------------------------------------------