%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWW302+1 : TPTP v9.2.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n020.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 : Tue May 5 05:31:20 PM UTC 2026
% Result : Theorem 12.31s 8.03s
% Output : CNFRefutation 12.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 3 unt; 0 def)
% Number of atoms : 25 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 22 ( 8 ~; 5 |; 2 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 17 ( 0 sgn 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_1,conjecture,
! [X282,X283] :
( v_P(X282,X283)
=> ! [X284] :
( ! [X285] :
( v_P(X285,X283)
=> v_Q_H(X285,X284) )
=> v_Q(X282,X284) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
fof(conj_0,hypothesis,
! [X282,X283] :
( v_Q_H(X282,X283)
=> v_Q(X282,X283) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(c_0_2,negated_conjecture,
~ ! [X282,X283] :
( v_P(X282,X283)
=> ! [X284] :
( ! [X285] :
( v_P(X285,X283)
=> v_Q_H(X285,X284) )
=> v_Q(X282,X284) ) ),
inference(assume_negation,[status(cth)],[conj_1]) ).
fof(c_0_3,hypothesis,
! [X34106,X34107] :
( ~ v_Q_H(X34106,X34107)
| v_Q(X34106,X34107) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_0])]) ).
fof(c_0_4,negated_conjecture,
! [X34111] :
( v_P(esk587_0,esk588_0)
& ( ~ v_P(X34111,esk588_0)
| v_Q_H(X34111,esk589_0) )
& ~ v_Q(esk587_0,esk589_0) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])]) ).
cnf(c_0_5,hypothesis,
( v_Q(X1,X2)
| ~ v_Q_H(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,negated_conjecture,
( v_Q_H(X1,esk589_0)
| ~ v_P(X1,esk588_0) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
~ v_Q(esk587_0,esk589_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,negated_conjecture,
( v_Q(X1,esk589_0)
| ~ v_P(X1,esk588_0) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_9,negated_conjecture,
v_P(esk587_0,esk588_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_10,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW302+1 : TPTP v9.2.1. Released v5.2.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.32 % Computer : n020.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Tue May 5 06:34:50 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 12.31/8.03 % Version : CSE_E---1.7
% 12.31/8.03 % Problem : theBenchmark.p
% 12.31/8.03 % SZS status Theorem for theBenchmark.p
% 12.31/8.03 % SZS output start CNFRefutation
% See solution above
% 12.31/8.04 % Total time : 7.018s
%------------------------------------------------------------------------------