%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET085-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n019.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 12:43:02 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.47s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 15 ( 10 unt; 0 def)
% Number of atoms : 23 ( 14 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 18 ( 10 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 7 ( 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X2,X0,X1] :
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',unordered_pair_member) ).
fof(f10,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X1,X0))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',unordered_pair3) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',singleton_set) ).
fof(f101,negated_conjecture,
unordered_pair(y,z) = singleton(x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_singleton_in_unordered_pair3_1) ).
fof(f102,negated_conjecture,
member(x,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_singleton_in_unordered_pair3_2) ).
fof(f103,negated_conjecture,
x != y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_singleton_in_unordered_pair3_3) ).
fof(f104,plain,
y != x,
inference(reorient_equations,[],[f103]) ).
fof(f105,negated_conjecture,
x != z,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_singleton_in_unordered_pair3_4) ).
fof(f106,plain,
z != x,
inference(reorient_equations,[],[f105]) ).
fof(f155,plain,
unordered_pair(y,z) = unordered_pair(x,x),
inference(definition_unfolding,[],[f101,f12]) ).
fof(f233,plain,
! [X0] :
( ~ member(X0,unordered_pair(x,x))
| y = X0
| z = X0 ),
inference(superposition,[],[f8,f155]) ).
fof(f235,plain,
( y = x
| z = x
| ~ member(x,universal_class) ),
inference(resolution,[],[f233,f10]) ).
fof(f250,plain,
( z = x
| ~ member(x,universal_class) ),
inference(forward_subsumption_resolution,[],[f235,f104]) ).
fof(f252,plain,
~ member(x,universal_class),
inference(forward_subsumption_resolution,[],[f250,f106]) ).
fof(f254,plain,
$false,
inference(forward_subsumption_resolution,[],[f252,f102]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET085-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.39 % Computer : n019.cluster.edu
% 0.10/0.39 % Model : x86_64 x86_64
% 0.10/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39 % Memory : 8046.5625MB
% 0.10/0.39 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Mon Sep 28 00:35:04 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.43 Running first-order model finding
% 0.10/0.43 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.47 % (3556760)Will run a generic schedule for satisfiability detection.
% 0.15/0.47 % (3556769)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3011888209:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.15/0.47 % (3556766)% WARNING: option uhcvi not known.
% 0.15/0.47 % (3556769) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3556760-3556769"...
% 0.15/0.47 % (3556769)...printing done.
% 0.15/0.47 % (3556769)Refutation found. Thanks to Tanya!
% 0.15/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.47 % (3556769)------------------------------
% 0.15/0.47 % (3556769)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.47 % (3556769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.47 % (3556769)CaDiCaL version: 2.1.3
% 0.15/0.47 % (3556769)Termination reason: Refutation
% 0.15/0.47 % (3556769)Time elapsed: 0.004 s
% 0.15/0.47 % (3556769)Peak memory usage: 12 MB
% 0.15/0.47 % (3556769)Instructions burned: 12 (million)
% 0.15/0.47 % (3556760)Success in time 0.037 s
% 0.15/0.47 % Vampire exiting
%------------------------------------------------------------------------------