TSTP Solution File: SET599+3 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SET599+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 03:00:54 EDT 2024
% Result : Theorem 0.87s 1.13s
% Output : CNFRefutation 0.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 13 unt; 0 def)
% Number of atoms : 15 ( 2 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 8 ~; 0 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 18 ( 1 sgn 12 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : symmetric_difference(X0,X1) = union(difference(X0,X1),difference(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetric_difference_defn) ).
fof(f2,axiom,
! [X0,X1] : subset(X0,union(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_of_union) ).
fof(f9,conjecture,
! [X0,X1] : subset(difference(X0,X1),symmetric_difference(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th58) ).
fof(f10,negated_conjecture,
~ ! [X0,X1] : subset(difference(X0,X1),symmetric_difference(X0,X1)),
inference(negated_conjecture,[],[f9]) ).
fof(f12,plain,
? [X0,X1] : ~ subset(difference(X0,X1),symmetric_difference(X0,X1)),
inference(ennf_transformation,[],[f10]) ).
fof(f23,plain,
( ? [X0,X1] : ~ subset(difference(X0,X1),symmetric_difference(X0,X1))
=> ~ subset(difference(sK2,sK3),symmetric_difference(sK2,sK3)) ),
introduced(choice_axiom,[]) ).
fof(f24,plain,
~ subset(difference(sK2,sK3),symmetric_difference(sK2,sK3)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f12,f23]) ).
fof(f25,plain,
! [X0,X1] : symmetric_difference(X0,X1) = union(difference(X0,X1),difference(X1,X0)),
inference(cnf_transformation,[],[f1]) ).
fof(f26,plain,
! [X0,X1] : subset(X0,union(X0,X1)),
inference(cnf_transformation,[],[f2]) ).
fof(f40,plain,
~ subset(difference(sK2,sK3),symmetric_difference(sK2,sK3)),
inference(cnf_transformation,[],[f24]) ).
fof(f42,plain,
~ subset(difference(sK2,sK3),union(difference(sK2,sK3),difference(sK3,sK2))),
inference(definition_unfolding,[],[f40,f25]) ).
cnf(c_49,plain,
subset(X0,union(X0,X1)),
inference(cnf_transformation,[],[f26]) ).
cnf(c_61,negated_conjecture,
~ subset(difference(sK2,sK3),union(difference(sK2,sK3),difference(sK3,sK2))),
inference(cnf_transformation,[],[f42]) ).
cnf(c_74,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_61,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : SET599+3 : TPTP v8.1.2. Released v2.2.0.
% 0.05/0.11 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n010.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Thu May 2 20:19:34 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.16/0.43 Running first-order theorem proving
% 0.16/0.43 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.87/1.13 % SZS status Started for theBenchmark.p
% 0.87/1.13 % SZS status Theorem for theBenchmark.p
% 0.87/1.13
% 0.87/1.13 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.87/1.13
% 0.87/1.13 ------ iProver source info
% 0.87/1.13
% 0.87/1.13 git: date: 2024-05-02 19:28:25 +0000
% 0.87/1.13 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.87/1.13 git: non_committed_changes: false
% 0.87/1.13
% 0.87/1.13 ------ Parsing...
% 0.87/1.13 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.87/1.13
% 0.87/1.13 ------ Preprocessing...
% 0.87/1.13
% 0.87/1.13 % SZS status Theorem for theBenchmark.p
% 0.87/1.13
% 0.87/1.13 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.87/1.13
% 0.87/1.13
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