%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET068-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 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 12:42:56 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.46s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 19 ( 12 unt; 0 def)
% Number of atoms : 28 ( 6 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 20 ( 11 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 16 ( 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_members) ).
fof(f2,axiom,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',not_subclass_members1) ).
fof(f3,axiom,
! [X0,X1] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
fof(f8,axiom,
! [X2,X0,X1] :
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pair3) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',singleton_set) ).
fof(f101,negated_conjecture,
~ subclass(singleton(y),unordered_pair(x,y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_singleton_in_unordered_pair2_1) ).
fof(f150,plain,
~ subclass(unordered_pair(y,y),unordered_pair(x,y)),
inference(definition_unfolding,[],[f101,f12]) ).
fof(f158,plain,
member(not_subclass_element(unordered_pair(y,y),unordered_pair(x,y)),unordered_pair(y,y)),
inference(resolution,[],[f2,f150]) ).
fof(f159,plain,
~ member(not_subclass_element(unordered_pair(y,y),unordered_pair(x,y)),unordered_pair(x,y)),
inference(resolution,[],[f3,f150]) ).
fof(f162,plain,
! [X0,X1] :
( ~ member(X0,X1)
| member(X0,universal_class) ),
inference(resolution,[],[f1,f4]) ).
fof(f173,plain,
member(not_subclass_element(unordered_pair(y,y),unordered_pair(x,y)),universal_class),
inference(resolution,[],[f162,f158]) ).
fof(f202,plain,
( y = not_subclass_element(unordered_pair(y,y),unordered_pair(x,y))
| y = not_subclass_element(unordered_pair(y,y),unordered_pair(x,y)) ),
inference(resolution,[],[f8,f158]) ).
fof(f206,plain,
y = not_subclass_element(unordered_pair(y,y),unordered_pair(x,y)),
inference(duplicate_literal_removal,[],[f202]) ).
fof(f207,plain,
member(y,universal_class),
inference(superposition,[],[f173,f206]) ).
fof(f208,plain,
~ member(y,unordered_pair(x,y)),
inference(superposition,[],[f159,f206]) ).
fof(f221,plain,
~ member(y,universal_class),
inference(resolution,[],[f208,f10]) ).
fof(f222,plain,
$false,
inference(forward_subsumption_resolution,[],[f221,f207]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET068-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n026.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 28 00:31:26 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 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
% 0.18/0.46 % (3365001)Will run a generic schedule for satisfiability detection.
% 0.18/0.46 % (3365010)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=730520020:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.46 % (3365007)% WARNING: option uhcvi not known.
% 0.18/0.46 % (3365010) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3365001-3365010"...
% 0.18/0.46 % (3365010)...printing done.
% 0.18/0.46 % (3365010)Refutation found. Thanks to Tanya!
% 0.18/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.46 % (3365010)------------------------------
% 0.18/0.46 % (3365010)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.46 % (3365010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.46 % (3365010)CaDiCaL version: 2.1.3
% 0.18/0.46 % (3365010)Termination reason: Refutation
% 0.18/0.46 % (3365010)Time elapsed: 0.004 s
% 0.18/0.46 % (3365010)Peak memory usage: 12 MB
% 0.18/0.46 % (3365010)Instructions burned: 12 (million)
% 0.18/0.46 % (3365001)Success in time 0.034 s
% 0.18/0.46 % Vampire exiting
%------------------------------------------------------------------------------