%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET025-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 12:39:40 PM UTC 2026
% Result : Unsatisfiable 0.18s 1.51s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 7 ( 7 unt; 0 def)
% Number of atoms : 7 ( 3 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 7 ( 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f11,axiom,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pairs_in_universal) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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/theBenchmark.p',ordered_pair) ).
fof(f101,negated_conjecture,
~ member(ordered_pair(x,y),universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ordered_pair_is_set_1) ).
fof(f106,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(f110,plain,
~ member(unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y))),universal_class),
inference(definition_unfolding,[],[f101,f106]) ).
fof(f169,plain,
$false,
inference(resolution,[],[f11,f110]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET025-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n007.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Mon Sep 28 00:11:10 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 0.18/1.51 % (1914286)Input is clausal, will run a generic CNF schedule.
% 0.18/1.51 % (1914291)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=194457333:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.18/1.51 % (1914292)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2203830689:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.18/1.51 % (1914293)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1367766248:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.18/1.51 % (1914295)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3099779706:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.18/1.51 % (1914297)dis-21_1_sil=8000:lcm=predicate:random_seed=3806795685: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)
% 0.18/1.51 % (1914294)lrs+10_1_sil=8000:sp=occurrence:random_seed=12736570:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.18/1.51 % (1914294)Refutation not found, incomplete strategy
% 0.18/1.51 % (1914294)------------------------------
% 0.18/1.51 % (1914294)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.51 % (1914294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.51 % (1914294)CaDiCaL version: 2.1.3
% 0.18/1.51 % (1914294)Termination reason: Refutation not found, incomplete strategy
% 0.18/1.51 % (1914294)Time elapsed: 0.001 s
% 0.18/1.51 % (1914294)Peak memory usage: 87 MB
% 0.18/1.51 % (1914295)Refutation not found, incomplete strategy
% 0.18/1.51 % (1914295)------------------------------
% 0.18/1.51 % (1914295)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.51 % (1914295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.51 % (1914295)CaDiCaL version: 2.1.3
% 0.18/1.51 % (1914295)Termination reason: Refutation not found, incomplete strategy
% 0.18/1.51 % (1914295)Time elapsed: 0.003 s
% 0.18/1.51 % (1914295)Peak memory usage: 88 MB
% 0.18/1.51 % (1914295)Instructions burned: 2 (million)
% 0.18/1.51 % (1914297)First to succeed.
% 0.18/1.51 % (1914297)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1914286"
% 0.18/1.51 % (1914296)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1573605723:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.18/1.51 % (1914296)Also succeeded, but the first one will report.
% 0.18/1.51 % (1914295)------------------------------
% 0.18/1.51 % (1914295)------------------------------
% 0.18/1.51 % (1914294)------------------------------
% 0.18/1.51 % (1914294)------------------------------
% 0.18/1.51 % (1914297)Refutation found. Thanks to Tanya!
% 0.18/1.51 % SZS status Unsatisfiable for theBenchmark
% 0.18/1.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/1.51 % (1914297)------------------------------
% 0.18/1.51 % (1914297)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.51 % (1914297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.51 % (1914297)CaDiCaL version: 2.1.3
% 0.18/1.51 % (1914297)Termination reason: Refutation
% 0.18/1.51 % (1914297)Time elapsed: 0.004 s
% 0.18/1.51 % (1914297)Peak memory usage: 88 MB
% 0.18/1.51 % (1914297)Instructions burned: 5 (million)
% 0.18/1.51 % (1914297)------------------------------
% 0.18/1.51 % (1914297)------------------------------
% 0.18/1.51 % (1914286)Success in time 0.44 s
% 0.18/1.51 % Vampire exiting
%------------------------------------------------------------------------------