%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET003-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n007.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 12:42:31 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.46s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 10 ( 4 unt; 0 def)
% Number of atoms : 17 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 12 ( 5 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( member(member_of_1_not_of_2(X0,X1),X0)
| subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET001-0.ax',subsets_axiom1) ).
fof(f3,axiom,
! [X0,X1] :
( ~ member(member_of_1_not_of_2(X0,X1),X1)
| subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET001-0.ax',subsets_axiom2) ).
fof(f8,axiom,
! [X2,X3,X0,X1] :
( ~ union(X0,X1,X2)
| ~ member(X3,X0)
| member(X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET001-1.ax',member_of_set1_is_member_of_union) ).
fof(f13,axiom,
union(a,a,aUa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_union_a_is_aUa) ).
fof(f14,negated_conjecture,
~ subset(a,aUa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_is_a_subset_of_aUa) ).
fof(f20,plain,
! [X0] :
( ~ member(X0,a)
| member(X0,aUa) ),
inference(resolution,[],[f8,f13]) ).
fof(f24,plain,
! [X0] :
( member(member_of_1_not_of_2(a,X0),aUa)
| subset(a,X0) ),
inference(resolution,[],[f20,f2]) ).
fof(f28,plain,
( subset(a,aUa)
| subset(a,aUa) ),
inference(resolution,[],[f24,f3]) ).
fof(f30,plain,
subset(a,aUa),
inference(duplicate_literal_removal,[],[f28]) ).
fof(f31,plain,
$false,
inference(forward_subsumption_resolution,[],[f30,f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET003-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38 % Computer : n007.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Mon Sep 28 00:00:40 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.42 Running first-order model finding
% 0.10/0.42 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
% 0.10/0.46 % (1909608)Will run a generic schedule for satisfiability detection.
% 0.10/0.46 % (1909616)dis+10_1_sil=32000:sp=arity:random_seed=3030451207:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.46 % (1909616) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1909608-1909616"...
% 0.10/0.46 % (1909616)...printing done.
% 0.10/0.46 % (1909616)Refutation found. Thanks to Tanya!
% 0.10/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.46 % (1909616)------------------------------
% 0.10/0.46 % (1909616)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.46 % (1909616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.46 % (1909616)CaDiCaL version: 2.1.3
% 0.10/0.46 % (1909616)Termination reason: Refutation
% 0.10/0.46 % (1909616)Time elapsed: 0.001 s
% 0.10/0.46 % (1909616)Peak memory usage: 11 MB
% 0.10/0.46 % (1909616)Instructions burned: 1 (million)
% 0.10/0.46 % (1909608)Success in time 0.028 s
% 0.10/0.46 % Vampire exiting
%------------------------------------------------------------------------------