%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET025-9 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n015.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 12:42:42 PM UTC 2026
% Result : Unsatisfiable 0.34s 0.51s
% Output : Refutation 0.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 14 ( 10 unt; 0 def)
% Number of atoms : 18 ( 8 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 5 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-2 aty)
% Number of variables : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X0,X1] : little_set(non_ordered_pair(X0,X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SET003-0.ax',non_ordered_pair4) ).
fof(f9,axiom,
! [X0] : singleton_set(X0) = non_ordered_pair(X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SET003-0.ax',singleton_set) ).
fof(f10,axiom,
! [X0,X1] : ordered_pair(X0,X1) = non_ordered_pair(singleton_set(X0),non_ordered_pair(X0,X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SET003-0.ax',ordered_pair) ).
fof(f13,axiom,
! [X0] :
( ~ ordered_pair_predicate(X0)
| X0 = ordered_pair(f2(X0),f3(X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET003-0.ax',ordered_pair_predicate3) ).
fof(f14,plain,
! [X0] :
( ~ ordered_pair_predicate(X0)
| ordered_pair(f2(X0),f3(X0)) = X0 ),
inference(reorient_equations,[],[f13]) ).
fof(f162,axiom,
ordered_pair_predicate(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',an_ordered_pair_predicate) ).
fof(f163,negated_conjecture,
~ little_set(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_predicate_is_small) ).
fof(f165,plain,
! [X0,X1] : ordered_pair(X0,X1) = non_ordered_pair(non_ordered_pair(X0,X0),non_ordered_pair(X0,X1)),
inference(definition_unfolding,[],[f10,f9]) ).
fof(f167,plain,
! [X0] :
( ~ ordered_pair_predicate(X0)
| non_ordered_pair(non_ordered_pair(f2(X0),f2(X0)),non_ordered_pair(f2(X0),f3(X0))) = X0 ),
inference(definition_unfolding,[],[f14,f165]) ).
fof(f208,plain,
! [X0] :
( ordered_pair_predicate(X0)
| non_ordered_pair(non_ordered_pair(f2(X0),f2(X0)),non_ordered_pair(f2(X0),f3(X0))) = X0 ),
inference(consistent_polarity_flipping,[],[f167]) ).
fof(f255,plain,
~ ordered_pair_predicate(a),
inference(consistent_polarity_flipping,[],[f162]) ).
fof(f511,plain,
a = non_ordered_pair(non_ordered_pair(f2(a),f2(a)),non_ordered_pair(f2(a),f3(a))),
inference(resolution,[],[f208,f255]) ).
fof(f2138,plain,
little_set(a),
inference(superposition,[],[f8,f511]) ).
fof(f2161,plain,
$false,
inference(forward_subsumption_resolution,[],[f2138,f163]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET025-9 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.38 % Computer : n015.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Mon Sep 28 00:16:46 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.40 Running first-order model finding
% 0.09/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.34/0.51 % (2154027)Will run a generic schedule for satisfiability detection.
% 0.34/0.51 % (2154034)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1365263135:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.34/0.51 % (2154033)% WARNING: option uhcvi not known.
% 0.34/0.51 % (2154032)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2497807855_2999 on theBenchmark for (2999ds/0Mi)
% 0.34/0.51 % (2154035)dis+10_1_sil=32000:sp=arity:random_seed=953273876:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.34/0.51 % (2154036)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=757936779:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.34/0.51 % (2154037)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2782641593:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.34/0.51 % (2154038)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2805745405:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.34/0.51 % (2154033)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1432592641:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.34/0.51 % TRYING [1]
% 0.34/0.51 % TRYING [2]
% 0.34/0.51 % TRYING [3]
% 0.34/0.51 % (2154033) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2154027-2154033"...
% 0.34/0.51 % (2154033)...printing done.
% 0.34/0.51 % (2154033)Refutation found. Thanks to Tanya!
% 0.34/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.34/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.34/0.51 % (2154033)------------------------------
% 0.34/0.51 % (2154033)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.34/0.51 % (2154033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.34/0.51 % (2154033)CaDiCaL version: 2.1.3
% 0.34/0.51 % (2154033)Termination reason: Refutation
% 0.34/0.51 % (2154033)Time elapsed: 0.059 s
% 0.34/0.51 % (2154033)Peak memory usage: 13 MB
% 0.34/0.51 % (2154033)Instructions burned: 91 (million)
% 0.34/0.51 % (2154027)Success in time 0.098 s
% 0.34/0.51 % Vampire exiting
%------------------------------------------------------------------------------