%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWW342+1 : TPTP v9.2.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n013.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 05:31:47 PM UTC 2026
% Result : Theorem 13.35s 9.96s
% Output : CNFRefutation 13.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 5 unt; 0 def)
% Number of atoms : 20 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 14 ( 5 ~; 2 |; 2 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 15 ( 1 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_1,conjecture,
! [X14,X15] :
( v_P(X14,X15)
=> ! [X16] :
( c_Natural_Oevaln(c_Com_Ocom_OSKIP,X15,v_n,X16)
=> v_P(X14,X16) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
fof(fact_evaln__elim__cases_I1_J,axiom,
! [X6,X4,X5] :
( c_Natural_Oevaln(c_Com_Ocom_OSKIP,X5,X4,X6)
=> X6 = X5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_evaln__elim__cases_I1_J) ).
fof(c_0_2,negated_conjecture,
~ ! [X14,X15] :
( v_P(X14,X15)
=> ! [X16] :
( c_Natural_Oevaln(c_Com_Ocom_OSKIP,X15,v_n,X16)
=> v_P(X14,X16) ) ),
inference(assume_negation,[status(cth)],[conj_1]) ).
fof(c_0_3,plain,
! [X17144,X17145,X17146] :
( ~ c_Natural_Oevaln(c_Com_Ocom_OSKIP,X17146,X17145,X17144)
| X17144 = X17146 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_evaln__elim__cases_I1_J])]) ).
fof(c_0_4,negated_conjecture,
( v_P(esk501_0,esk502_0)
& c_Natural_Oevaln(c_Com_Ocom_OSKIP,esk502_0,v_n,esk503_0)
& ~ v_P(esk501_0,esk503_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])]) ).
cnf(c_0_5,plain,
( X3 = X1
| ~ c_Natural_Oevaln(c_Com_Ocom_OSKIP,X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,negated_conjecture,
c_Natural_Oevaln(c_Com_Ocom_OSKIP,esk502_0,v_n,esk503_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
~ v_P(esk501_0,esk503_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,negated_conjecture,
esk503_0 = esk502_0,
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_9,negated_conjecture,
v_P(esk501_0,esk502_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(rw,[status(thm)],[c_0_7,c_0_8]),c_0_9])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWW342+1 : TPTP v9.2.1. Released v5.2.0.
% 0.00/0.11 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.32 % Computer : n013.cluster.edu
% 0.16/0.32 % Model : x86_64 x86_64
% 0.16/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.32 % Memory : 8042.1875MB
% 0.16/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.32 % CPULimit : 300
% 0.16/0.32 % WCLimit : 300
% 0.16/0.32 % DateTime : Tue May 5 06:38:41 EDT 2026
% 0.16/0.32 % CPUTime :
% 0.16/0.33 % start to proof: theBenchmark
% 13.35/9.96 % Version : CSE_E---1.7
% 13.35/9.96 % Problem : theBenchmark.p
% 13.35/9.96 % SZS status Theorem for theBenchmark.p
% 13.35/9.96 % SZS output start CNFRefutation
% See solution above
% 13.35/9.97 % Total time : 8.928s
%------------------------------------------------------------------------------