%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SEU027+1 : TPTP v9.2.1. Released v3.2.0.
% 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 05:10:31 PM UTC 2026
% Result : Theorem 4.51s 3.35s
% Output : CNFRefutation 4.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 41 ( 10 unt; 0 def)
% Number of atoms : 361 ( 115 equ)
% Maximal formula atoms : 130 ( 8 avg)
% Number of connectives : 547 ( 227 ~; 240 |; 56 &)
% ( 5 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 2 con; 0-3 aty)
% Number of variables : 68 ( 0 sgn 37 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t60_funct_1,conjecture,
! [X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( ( one_to_one(X1)
& relation_dom(X1) = relation_rng(X2)
& relation_rng(X1) = relation_dom(X2)
& ! [X3,X4] :
( ( in(X3,relation_dom(X1))
& in(X4,relation_dom(X2)) )
=> ( apply(X1,X3) = X4
<=> apply(X2,X4) = X3 ) ) )
=> X2 = function_inverse(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t60_funct_1) ).
fof(d5_funct_1,axiom,
! [X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( X2 = relation_rng(X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( in(X4,relation_dom(X1))
& X3 = apply(X1,X4) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_funct_1) ).
fof(t54_funct_1,axiom,
! [X1] :
( ( relation(X1)
& function(X1) )
=> ( one_to_one(X1)
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( X2 = function_inverse(X1)
<=> ( relation_dom(X2) = relation_rng(X1)
& ! [X3,X4] :
( ( ( in(X3,relation_rng(X1))
& X4 = apply(X2,X3) )
=> ( in(X4,relation_dom(X1))
& X3 = apply(X1,X4) ) )
& ( ( in(X4,relation_dom(X1))
& X3 = apply(X1,X4) )
=> ( in(X3,relation_rng(X1))
& X4 = apply(X2,X3) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t54_funct_1) ).
fof(dt_k2_funct_1,axiom,
! [X1] :
( ( relation(X1)
& function(X1) )
=> ( relation(function_inverse(X1))
& function(function_inverse(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_funct_1) ).
fof(t9_funct_1,axiom,
! [X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( ( relation_dom(X1) = relation_dom(X2)
& ! [X3] :
( in(X3,relation_dom(X1))
=> apply(X1,X3) = apply(X2,X3) ) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_funct_1) ).
fof(c_0_5,negated_conjecture,
~ ! [X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( ( one_to_one(X1)
& relation_dom(X1) = relation_rng(X2)
& relation_rng(X1) = relation_dom(X2)
& ! [X3,X4] :
( ( in(X3,relation_dom(X1))
& in(X4,relation_dom(X2)) )
=> ( apply(X1,X3) = X4
<=> apply(X2,X4) = X3 ) ) )
=> X2 = function_inverse(X1) ) ) ),
inference(assume_negation,[status(cth)],[t60_funct_1]) ).
fof(c_0_6,plain,
! [X69,X70,X71,X73,X74,X75,X77] :
( ( in(esk1_3(X69,X70,X71),relation_dom(X69))
| ~ in(X71,X70)
| X70 != relation_rng(X69)
| ~ relation(X69)
| ~ function(X69) )
& ( X71 = apply(X69,esk1_3(X69,X70,X71))
| ~ in(X71,X70)
| X70 != relation_rng(X69)
| ~ relation(X69)
| ~ function(X69) )
& ( ~ in(X74,relation_dom(X69))
| X73 != apply(X69,X74)
| in(X73,X70)
| X70 != relation_rng(X69)
| ~ relation(X69)
| ~ function(X69) )
& ( ~ in(esk2_2(X69,X75),X75)
| ~ in(X77,relation_dom(X69))
| esk2_2(X69,X75) != apply(X69,X77)
| X75 = relation_rng(X69)
| ~ relation(X69)
| ~ function(X69) )
& ( in(esk3_2(X69,X75),relation_dom(X69))
| in(esk2_2(X69,X75),X75)
| X75 = relation_rng(X69)
| ~ relation(X69)
| ~ function(X69) )
& ( esk2_2(X69,X75) = apply(X69,esk3_2(X69,X75))
| in(esk2_2(X69,X75),X75)
| X75 = relation_rng(X69)
| ~ relation(X69)
| ~ function(X69) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d5_funct_1])])])])])]) ).
fof(c_0_7,plain,
! [X109,X110,X111,X112,X113,X114] :
( ( relation_dom(X110) = relation_rng(X109)
| X110 != function_inverse(X109)
| ~ relation(X110)
| ~ function(X110)
| ~ one_to_one(X109)
| ~ relation(X109)
| ~ function(X109) )
& ( in(X112,relation_dom(X109))
| ~ in(X111,relation_rng(X109))
| X112 != apply(X110,X111)
| X110 != function_inverse(X109)
| ~ relation(X110)
| ~ function(X110)
| ~ one_to_one(X109)
| ~ relation(X109)
| ~ function(X109) )
& ( X111 = apply(X109,X112)
| ~ in(X111,relation_rng(X109))
| X112 != apply(X110,X111)
| X110 != function_inverse(X109)
| ~ relation(X110)
| ~ function(X110)
| ~ one_to_one(X109)
| ~ relation(X109)
| ~ function(X109) )
& ( in(X113,relation_rng(X109))
| ~ in(X114,relation_dom(X109))
| X113 != apply(X109,X114)
| X110 != function_inverse(X109)
| ~ relation(X110)
| ~ function(X110)
| ~ one_to_one(X109)
| ~ relation(X109)
| ~ function(X109) )
& ( X114 = apply(X110,X113)
| ~ in(X114,relation_dom(X109))
| X113 != apply(X109,X114)
| X110 != function_inverse(X109)
| ~ relation(X110)
| ~ function(X110)
| ~ one_to_one(X109)
| ~ relation(X109)
| ~ function(X109) )
& ( in(esk18_2(X109,X110),relation_dom(X109))
| in(esk15_2(X109,X110),relation_rng(X109))
| relation_dom(X110) != relation_rng(X109)
| X110 = function_inverse(X109)
| ~ relation(X110)
| ~ function(X110)
| ~ one_to_one(X109)
| ~ relation(X109)
| ~ function(X109) )
& ( esk17_2(X109,X110) = apply(X109,esk18_2(X109,X110))
| in(esk15_2(X109,X110),relation_rng(X109))
| relation_dom(X110) != relation_rng(X109)
| X110 = function_inverse(X109)
| ~ relation(X110)
| ~ function(X110)
| ~ one_to_one(X109)
| ~ relation(X109)
| ~ function(X109) )
& ( ~ in(esk17_2(X109,X110),relation_rng(X109))
| esk18_2(X109,X110) != apply(X110,esk17_2(X109,X110))
| in(esk15_2(X109,X110),relation_rng(X109))
| relation_dom(X110) != relation_rng(X109)
| X110 = function_inverse(X109)
| ~ relation(X110)
| ~ function(X110)
| ~ one_to_one(X109)
| ~ relation(X109)
| ~ function(X109) )
& ( in(esk18_2(X109,X110),relation_dom(X109))
| esk16_2(X109,X110) = apply(X110,esk15_2(X109,X110))
| relation_dom(X110) != relation_rng(X109)
| X110 = function_inverse(X109)
| ~ relation(X110)
| ~ function(X110)
| ~ one_to_one(X109)
| ~ relation(X109)
| ~ function(X109) )
& ( esk17_2(X109,X110) = apply(X109,esk18_2(X109,X110))
| esk16_2(X109,X110) = apply(X110,esk15_2(X109,X110))
| relation_dom(X110) != relation_rng(X109)
| X110 = function_inverse(X109)
| ~ relation(X110)
| ~ function(X110)
| ~ one_to_one(X109)
| ~ relation(X109)
| ~ function(X109) )
& ( ~ in(esk17_2(X109,X110),relation_rng(X109))
| esk18_2(X109,X110) != apply(X110,esk17_2(X109,X110))
| esk16_2(X109,X110) = apply(X110,esk15_2(X109,X110))
| relation_dom(X110) != relation_rng(X109)
| X110 = function_inverse(X109)
| ~ relation(X110)
| ~ function(X110)
| ~ one_to_one(X109)
| ~ relation(X109)
| ~ function(X109) )
& ( in(esk18_2(X109,X110),relation_dom(X109))
| ~ in(esk16_2(X109,X110),relation_dom(X109))
| esk15_2(X109,X110) != apply(X109,esk16_2(X109,X110))
| relation_dom(X110) != relation_rng(X109)
| X110 = function_inverse(X109)
| ~ relation(X110)
| ~ function(X110)
| ~ one_to_one(X109)
| ~ relation(X109)
| ~ function(X109) )
& ( esk17_2(X109,X110) = apply(X109,esk18_2(X109,X110))
| ~ in(esk16_2(X109,X110),relation_dom(X109))
| esk15_2(X109,X110) != apply(X109,esk16_2(X109,X110))
| relation_dom(X110) != relation_rng(X109)
| X110 = function_inverse(X109)
| ~ relation(X110)
| ~ function(X110)
| ~ one_to_one(X109)
| ~ relation(X109)
| ~ function(X109) )
& ( ~ in(esk17_2(X109,X110),relation_rng(X109))
| esk18_2(X109,X110) != apply(X110,esk17_2(X109,X110))
| ~ in(esk16_2(X109,X110),relation_dom(X109))
| esk15_2(X109,X110) != apply(X109,esk16_2(X109,X110))
| relation_dom(X110) != relation_rng(X109)
| X110 = function_inverse(X109)
| ~ relation(X110)
| ~ function(X110)
| ~ one_to_one(X109)
| ~ relation(X109)
| ~ function(X109) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[t54_funct_1])])])])])]) ).
fof(c_0_8,plain,
! [X79] :
( ( relation(function_inverse(X79))
| ~ relation(X79)
| ~ function(X79) )
& ( function(function_inverse(X79))
| ~ relation(X79)
| ~ function(X79) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k2_funct_1])])]) ).
fof(c_0_9,negated_conjecture,
! [X124,X125] :
( relation(esk19_0)
& function(esk19_0)
& relation(esk20_0)
& function(esk20_0)
& one_to_one(esk19_0)
& relation_dom(esk19_0) = relation_rng(esk20_0)
& relation_rng(esk19_0) = relation_dom(esk20_0)
& ( apply(esk19_0,X124) != X125
| apply(esk20_0,X125) = X124
| ~ in(X124,relation_dom(esk19_0))
| ~ in(X125,relation_dom(esk20_0)) )
& ( apply(esk20_0,X125) != X124
| apply(esk19_0,X124) = X125
| ~ in(X124,relation_dom(esk19_0))
| ~ in(X125,relation_dom(esk20_0)) )
& esk20_0 != function_inverse(esk19_0) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])]) ).
cnf(c_0_10,plain,
( in(X3,X4)
| ~ in(X1,relation_dom(X2))
| X3 != apply(X2,X1)
| X4 != relation_rng(X2)
| ~ relation(X2)
| ~ function(X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
( X1 = apply(X2,X3)
| ~ in(X1,relation_dom(X4))
| X3 != apply(X4,X1)
| X2 != function_inverse(X4)
| ~ relation(X2)
| ~ function(X2)
| ~ one_to_one(X4)
| ~ relation(X4)
| ~ function(X4) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
( function(function_inverse(X1))
| ~ relation(X1)
| ~ function(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
( relation(function_inverse(X1))
| ~ relation(X1)
| ~ function(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,negated_conjecture,
( apply(esk19_0,X2) = X1
| apply(esk20_0,X1) != X2
| ~ in(X2,relation_dom(esk19_0))
| ~ in(X1,relation_dom(esk20_0)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,plain,
( in(apply(X1,X2),relation_rng(X1))
| ~ relation(X1)
| ~ function(X1)
| ~ in(X2,relation_dom(X1)) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_10])]) ).
cnf(c_0_16,negated_conjecture,
relation_dom(esk19_0) = relation_rng(esk20_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_17,negated_conjecture,
relation(esk20_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_18,negated_conjecture,
function(esk20_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_19,plain,
! [X131,X132] :
( ( in(esk21_2(X131,X132),relation_dom(X131))
| relation_dom(X131) != relation_dom(X132)
| X131 = X132
| ~ relation(X132)
| ~ function(X132)
| ~ relation(X131)
| ~ function(X131) )
& ( apply(X131,esk21_2(X131,X132)) != apply(X132,esk21_2(X131,X132))
| relation_dom(X131) != relation_dom(X132)
| X131 = X132
| ~ relation(X132)
| ~ function(X132)
| ~ relation(X131)
| ~ function(X131) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t9_funct_1])])])])]) ).
cnf(c_0_20,plain,
( apply(function_inverse(X1),apply(X1,X2)) = X2
| ~ one_to_one(X1)
| ~ relation(X1)
| ~ function(X1)
| ~ in(X2,relation_dom(X1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_11])]),c_0_12]),c_0_13]) ).
cnf(c_0_21,negated_conjecture,
( apply(esk19_0,apply(esk20_0,X1)) = X1
| ~ in(apply(esk20_0,X1),relation_dom(esk19_0))
| ~ in(X1,relation_dom(esk20_0)) ),
inference(er,[status(thm)],[c_0_14]) ).
cnf(c_0_22,negated_conjecture,
one_to_one(esk19_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_23,negated_conjecture,
relation(esk19_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_24,negated_conjecture,
function(esk19_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_25,negated_conjecture,
( in(apply(esk20_0,X1),relation_dom(esk19_0))
| ~ in(X1,relation_dom(esk20_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]),c_0_18])]) ).
cnf(c_0_26,plain,
( relation_dom(X1) = relation_rng(X2)
| X1 != function_inverse(X2)
| ~ relation(X1)
| ~ function(X1)
| ~ one_to_one(X2)
| ~ relation(X2)
| ~ function(X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_27,plain,
( X1 = X2
| apply(X1,esk21_2(X1,X2)) != apply(X2,esk21_2(X1,X2))
| relation_dom(X1) != relation_dom(X2)
| ~ relation(X2)
| ~ function(X2)
| ~ relation(X1)
| ~ function(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_28,negated_conjecture,
( apply(function_inverse(esk19_0),X1) = apply(esk20_0,X1)
| ~ in(X1,relation_dom(esk20_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]),c_0_23]),c_0_24])]),c_0_25]) ).
cnf(c_0_29,plain,
( in(esk21_2(X1,X2),relation_dom(X1))
| X1 = X2
| relation_dom(X1) != relation_dom(X2)
| ~ relation(X2)
| ~ function(X2)
| ~ relation(X1)
| ~ function(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_30,plain,
( relation_dom(function_inverse(X1)) = relation_rng(X1)
| ~ one_to_one(X1)
| ~ relation(X1)
| ~ function(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_26]),c_0_12]),c_0_13]) ).
cnf(c_0_31,negated_conjecture,
( function_inverse(esk19_0) = X1
| apply(esk20_0,esk21_2(function_inverse(esk19_0),X1)) != apply(X1,esk21_2(function_inverse(esk19_0),X1))
| relation_dom(function_inverse(esk19_0)) != relation_dom(X1)
| ~ relation(function_inverse(esk19_0))
| ~ relation(X1)
| ~ function(function_inverse(esk19_0))
| ~ function(X1)
| ~ in(esk21_2(function_inverse(esk19_0),X1),relation_dom(esk20_0)) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_32,negated_conjecture,
esk20_0 != function_inverse(esk19_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_33,plain,
( function_inverse(X1) = X2
| in(esk21_2(function_inverse(X1),X2),relation_rng(X1))
| relation_rng(X1) != relation_dom(X2)
| ~ one_to_one(X1)
| ~ relation(X2)
| ~ relation(X1)
| ~ function(X2)
| ~ function(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_12]),c_0_13]) ).
cnf(c_0_34,negated_conjecture,
relation_rng(esk19_0) = relation_dom(esk20_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_35,negated_conjecture,
( relation_dom(function_inverse(esk19_0)) != relation_dom(esk20_0)
| ~ relation(function_inverse(esk19_0))
| ~ function(function_inverse(esk19_0))
| ~ in(esk21_2(function_inverse(esk19_0),esk20_0),relation_dom(esk20_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_31]),c_0_17]),c_0_18])]),c_0_32]) ).
cnf(c_0_36,negated_conjecture,
( function_inverse(esk19_0) = X1
| in(esk21_2(function_inverse(esk19_0),X1),relation_dom(esk20_0))
| relation_dom(esk20_0) != relation_dom(X1)
| ~ relation(X1)
| ~ function(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_22]),c_0_23]),c_0_24])]) ).
cnf(c_0_37,negated_conjecture,
( relation_dom(function_inverse(esk19_0)) != relation_dom(esk20_0)
| ~ relation(function_inverse(esk19_0))
| ~ function(function_inverse(esk19_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_17]),c_0_18])]),c_0_32]) ).
cnf(c_0_38,negated_conjecture,
( ~ relation(function_inverse(esk19_0))
| ~ function(function_inverse(esk19_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_30]),c_0_34]),c_0_22]),c_0_23]),c_0_24])]) ).
cnf(c_0_39,negated_conjecture,
~ relation(function_inverse(esk19_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_12]),c_0_23]),c_0_24])]) ).
cnf(c_0_40,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_13]),c_0_23]),c_0_24])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU027+1 : TPTP v9.2.1. Released v3.2.0.
% 0.00/0.12 % 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
% 0.15/0.33 % Computer : n013.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 02:41:26 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 4.51/3.35 % Version : CSE_E---1.7
% 4.51/3.35 % Problem : theBenchmark.p
% 4.51/3.35 % SZS status Theorem for theBenchmark.p
% 4.51/3.35 % SZS output start CNFRefutation
% See solution above
% 4.51/3.36 % Total time : 2.372s
%------------------------------------------------------------------------------