%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM142-1 : 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 0.16s 0.47s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of formulae : 22 ( 14 unt; 0 def)
% Number of atoms : 32 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 23 ( 13 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-2 aty)
% Number of variables : 22 ( 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',singleton_set) ).
fof(f21,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection1) ).
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,complement(X1))
| ~ member(X0,universal_class)
| 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,
~ subclass(x,successor(x)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_successor_of_set_is_set3_1) ).
fof(f182,plain,
! [X0] : successor(X0) = complement(intersection(complement(X0),complement(unordered_pair(X0,X0)))),
inference(definition_unfolding,[],[f44,f26,f12]) ).
fof(f267,plain,
~ subclass(x,complement(intersection(complement(x),complement(unordered_pair(x,x))))),
inference(definition_unfolding,[],[f176,f182]) ).
fof(f292,plain,
member(not_subclass_element(x,complement(intersection(complement(x),complement(unordered_pair(x,x))))),x),
inference(resolution,[],[f2,f267]) ).
fof(f293,plain,
~ member(not_subclass_element(x,complement(intersection(complement(x),complement(unordered_pair(x,x))))),complement(intersection(complement(x),complement(unordered_pair(x,x))))),
inference(resolution,[],[f3,f267]) ).
fof(f313,plain,
! [X0,X1] :
( ~ member(X0,X1)
| member(X0,universal_class) ),
inference(resolution,[],[f1,f4]) ).
fof(f338,plain,
member(not_subclass_element(x,complement(intersection(complement(x),complement(unordered_pair(x,x))))),universal_class),
inference(resolution,[],[f313,f292]) ).
fof(f379,plain,
( ~ member(not_subclass_element(x,complement(intersection(complement(x),complement(unordered_pair(x,x))))),universal_class)
| member(not_subclass_element(x,complement(intersection(complement(x),complement(unordered_pair(x,x))))),intersection(complement(x),complement(unordered_pair(x,x)))) ),
inference(resolution,[],[f25,f293]) ).
fof(f380,plain,
member(not_subclass_element(x,complement(intersection(complement(x),complement(unordered_pair(x,x))))),intersection(complement(x),complement(unordered_pair(x,x)))),
inference(forward_subsumption_resolution,[],[f379,f338]) ).
fof(f382,plain,
member(not_subclass_element(x,complement(intersection(complement(x),complement(unordered_pair(x,x))))),complement(x)),
inference(resolution,[],[f380,f21]) ).
fof(f385,plain,
~ member(not_subclass_element(x,complement(intersection(complement(x),complement(unordered_pair(x,x))))),x),
inference(resolution,[],[f382,f24]) ).
fof(f387,plain,
$false,
inference(forward_subsumption_resolution,[],[f385,f292]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM142-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/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 : Sun Sep 27 19:02:42 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 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
% 0.16/0.47 % (3145241)Will run a generic schedule for satisfiability detection.
% 0.16/0.47 % (3145252)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2085440511:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.47 % (3145247)% WARNING: option uhcvi not known.
% 0.16/0.47 % (3145247)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3955207191:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.47 % (3145246)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3048072216_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.47 % (3145251)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2865355526:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.47 % (3145248)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3885785038:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.47 % (3145249)dis+10_1_sil=32000:sp=arity:random_seed=4294873296:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.47 % (3145250)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=623645501:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.47 % (3145250) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3145241-3145250"...
% 0.16/0.47 % (3145250)...printing done.
% 0.16/0.47 % (3145250)Refutation found. Thanks to Tanya!
% 0.16/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.47 % (3145250)------------------------------
% 0.16/0.47 % (3145250)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.47 % (3145250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.47 % (3145250)CaDiCaL version: 2.1.3
% 0.16/0.47 % (3145250)Termination reason: Refutation
% 0.16/0.47 % (3145250)Time elapsed: 0.011 s
% 0.16/0.47 % (3145250)Peak memory usage: 12 MB
% 0.16/0.47 % (3145250)Instructions burned: 19 (million)
% 0.16/0.47 % (3145241)Success in time 0.055 s
% 0.16/0.48 % Vampire exiting
%------------------------------------------------------------------------------