%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET113-7 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 2.50s 1.35s
% Output : Refutation 2.50s
% 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(f175,axiom,
! [X0] :
( member(ordered_pair(first(X0),second(X0)),cross_product(universal_class,universal_class))
| first(X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_1st_and_2nd_2) ).
fof(f181,negated_conjecture,
~ member(ordered_pair(first(x),second(x)),cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_unique_1st_and_2nd_in_pair_of_non_sets1_1) ).
fof(f182,negated_conjecture,
first(x) != x,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_unique_1st_in_pair_of_non_sets) ).
fof(f183,plain,
x != first(x),
inference(reorient_equations,[],[f182]) ).
fof(f256,plain,
x = first(x),
inference(resolution,[],[f175,f181]) ).
fof(f265,plain,
$false,
inference(forward_subsumption_resolution,[],[f256,f183]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET113-7 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 % Computer : n026.cluster.edu
% 0.11/0.40 % Model : x86_64 x86_64
% 0.11/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.40 % Memory : 8046.5625MB
% 0.11/0.40 % OS : Linux 6.8.0-71-generic
% 0.11/0.40 % CPULimit : 300
% 0.11/0.40 % WCLimit : 300
% 0.11/0.40 % DateTime : Mon Sep 28 00:50:13 UTC 2026
% 0.11/0.41 % CPUTime :
% 0.11/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.44 Running first-order theorem proving
% 0.11/0.44 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.50/1.35 % (3371583)Input is clausal, will run a generic CNF schedule.
% 2.50/1.35 % (3371591)lrs+10_1_sil=8000:sp=occurrence:random_seed=3226003613:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.50/1.35 % (3371591)First to succeed.
% 2.50/1.35 % (3371591)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3371583"
% 2.50/1.35 % (3371589)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3952129140:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.50/1.35 % (3371590)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2986182838:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.50/1.35 % (3371588)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=556289253:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.50/1.35 % (3371592)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2653905266:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.50/1.35 % (3371594)dis-21_1_sil=8000:lcm=predicate:random_seed=1329450334: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)
% 2.50/1.35 % (3371593)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3931368311:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.50/1.35 % (3371593)Also succeeded, but the first one will report.
% 2.50/1.35 % (3371592)Also succeeded, but the first one will report.
% 2.50/1.35 % (3371594)Instruction limit reached!
% 2.50/1.35 % (3371594)------------------------------
% 2.50/1.35 % (3371594)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.50/1.35 % (3371594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/1.35 % (3371594)CaDiCaL version: 2.1.3
% 2.50/1.35 % (3371594)Termination reason: Instruction limit
% 2.50/1.35 % (3371594)Termination phase: Saturation
% 2.50/1.35 % (3371594)Time elapsed: 0.076 s
% 2.50/1.35 % (3371594)Peak memory usage: 89 MB
% 2.50/1.35 % (3371594)Instructions burned: 117 (million)
% 2.50/1.35 % (3371591)Refutation found. Thanks to Tanya!
% 2.50/1.35 % SZS status Unsatisfiable for theBenchmark
% 2.50/1.35 % SZS output start Proof for theBenchmark
% See solution above
% 2.50/1.35 % (3371591)------------------------------
% 2.50/1.35 % (3371591)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.50/1.35 % (3371591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/1.35 % (3371591)CaDiCaL version: 2.1.3
% 2.50/1.35 % (3371591)Termination reason: Refutation
% 2.50/1.35 % (3371591)Time elapsed: 0.002 s
% 2.50/1.35 % (3371591)Peak memory usage: 88 MB
% 2.50/1.35 % (3371591)Instructions burned: 4 (million)
% 2.50/1.35 % (3371591)------------------------------
% 2.50/1.35 % (3371591)------------------------------
% 2.50/1.35 % (3371583)Success in time 0.269 s
% 2.50/1.35 % Vampire exiting
%------------------------------------------------------------------------------