%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM141-1 : 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 : 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 12:18:00 PM UTC 2026
% Result : Unsatisfiable 0.23s 0.56s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 17 ( 12 unt; 0 def)
% Number of atoms : 23 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 14 ( 8 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 16 ( 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
! [X0,X1] :
( ~ member(X0,universal_class)
| member(X0,unordered_pair(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',unordered_pair2) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',singleton_set) ).
fof(f22,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection2) ).
fof(f24,axiom,
! [X0,X1] :
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',complement1) ).
fof(f25,axiom,
! [X0,X1] :
( ~ member(X0,universal_class)
| member(X0,complement(X1))
| member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',complement2) ).
fof(f26,axiom,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',union) ).
fof(f44,axiom,
! [X0] : union(X0,singleton(X0)) = successor(X0),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',successor) ).
fof(f176,negated_conjecture,
member(x,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_successor_of_set_is_set2_1) ).
fof(f177,negated_conjecture,
~ member(x,successor(x)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_successor_of_set_is_set2_2) ).
fof(f183,plain,
! [X0] : successor(X0) = complement(intersection(complement(X0),complement(unordered_pair(X0,X0)))),
inference(definition_unfolding,[],[f44,f26,f12]) ).
fof(f268,plain,
~ member(x,complement(intersection(complement(x),complement(unordered_pair(x,x))))),
inference(definition_unfolding,[],[f177,f183]) ).
fof(f328,plain,
! [X0] : member(x,unordered_pair(x,X0)),
inference(resolution,[],[f9,f176]) ).
fof(f530,plain,
! [X0] :
( member(x,complement(X0))
| member(x,X0) ),
inference(resolution,[],[f25,f176]) ).
fof(f539,plain,
member(x,intersection(complement(x),complement(unordered_pair(x,x)))),
inference(resolution,[],[f530,f268]) ).
fof(f542,plain,
member(x,complement(unordered_pair(x,x))),
inference(resolution,[],[f539,f22]) ).
fof(f557,plain,
~ member(x,unordered_pair(x,x)),
inference(resolution,[],[f542,f24]) ).
fof(f559,plain,
$false,
inference(forward_subsumption_resolution,[],[f557,f328]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM141-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.18/0.45 % Computer : n026.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Sun Sep 27 19:02:26 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.45 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.23/0.51 Running first-order model finding
% 0.23/0.51 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
% 0.23/0.56 % (3144661)Will run a generic schedule for satisfiability detection.
% 0.23/0.56 % (3144671)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=805691617:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.23/0.56 % (3144667)% WARNING: option uhcvi not known.
% 0.23/0.56 % (3144667)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1900379742:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.23/0.56 % (3144671) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3144661-3144671"...
% 0.23/0.56 % (3144671)...printing done.
% 0.23/0.56 % (3144671)Refutation found. Thanks to Tanya!
% 0.23/0.56 % SZS status Unsatisfiable for theBenchmark
% 0.23/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.56 % (3144671)------------------------------
% 0.23/0.56 % (3144671)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.56 % (3144671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.56 % (3144671)CaDiCaL version: 2.1.3
% 0.23/0.56 % (3144671)Termination reason: Refutation
% 0.23/0.56 % (3144671)Time elapsed: 0.009 s
% 0.23/0.56 % (3144671)Peak memory usage: 12 MB
% 0.23/0.56 % (3144671)Instructions burned: 17 (million)
% 0.23/0.56 % (3144661)Success in time 0.038 s
% 0.23/0.56 % Vampire exiting
%------------------------------------------------------------------------------