TSTP Solution File: LAT345+3 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : LAT345+3 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n027.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 : 600s
% DateTime : Sun Jul 17 04:47:31 EDT 2022
% Result : Theorem 1.25s 25.44s
% Output : CNFRefutation 1.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 7
% Syntax : Number of formulae : 53 ( 11 unt; 0 def)
% Number of atoms : 293 ( 43 equ)
% Maximal formula atoms : 24 ( 5 avg)
% Number of connectives : 396 ( 156 ~; 180 |; 47 &)
% ( 1 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 68 ( 0 sgn 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t20_conlat_2,conjecture,
! [X1] :
( ( ~ v3_conlat_1(X1)
& v4_conlat_1(X1)
& l2_conlat_1(X1) )
=> ! [X2] :
( ( v6_conlat_1(X2,X1)
& ~ v7_conlat_1(X2,X1)
& v9_conlat_1(X2,X1)
& l3_conlat_1(X2,X1) )
=> k9_conlat_2(k7_conlat_2(X1),k9_conlat_2(X1,X2)) = X2 ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t20_conlat_2) ).
fof(t17_conlat_2,axiom,
! [X1] :
( ( ~ v3_conlat_1(X1)
& v4_conlat_1(X1)
& l2_conlat_1(X1) )
=> k7_conlat_2(k7_conlat_2(X1)) = X1 ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t17_conlat_2) ).
fof(d8_conlat_2,axiom,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> ! [X2] :
( l3_conlat_1(X2,X1)
=> ! [X3] :
( ( v6_conlat_1(X3,k7_conlat_2(X1))
& l3_conlat_1(X3,k7_conlat_2(X1)) )
=> ( X3 = k8_conlat_2(X1,X2)
<=> ( u4_conlat_1(k7_conlat_2(X1),X3) = u5_conlat_1(X1,X2)
& u5_conlat_1(k7_conlat_2(X1),X3) = u4_conlat_1(X1,X2) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',d8_conlat_2) ).
fof(dt_k8_conlat_2,axiom,
! [X1,X2] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1)
& l3_conlat_1(X2,X1) )
=> ( v6_conlat_1(k8_conlat_2(X1,X2),k7_conlat_2(X1))
& l3_conlat_1(k8_conlat_2(X1,X2),k7_conlat_2(X1)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',dt_k8_conlat_2) ).
fof(dt_k7_conlat_2,axiom,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> ( ~ v3_conlat_1(k7_conlat_2(X1))
& v4_conlat_1(k7_conlat_2(X1))
& l2_conlat_1(k7_conlat_2(X1)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',dt_k7_conlat_2) ).
fof(dt_k9_conlat_2,axiom,
! [X1,X2] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1)
& ~ v7_conlat_1(X2,X1)
& v9_conlat_1(X2,X1)
& l3_conlat_1(X2,X1) )
=> ( v6_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1))
& ~ v7_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1))
& v9_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1))
& l3_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',dt_k9_conlat_2) ).
fof(redefinition_k9_conlat_2,axiom,
! [X1,X2] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1)
& ~ v7_conlat_1(X2,X1)
& v9_conlat_1(X2,X1)
& l3_conlat_1(X2,X1) )
=> k9_conlat_2(X1,X2) = k8_conlat_2(X1,X2) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',redefinition_k9_conlat_2) ).
fof(c_0_7,negated_conjecture,
~ ! [X1] :
( ( ~ v3_conlat_1(X1)
& v4_conlat_1(X1)
& l2_conlat_1(X1) )
=> ! [X2] :
( ( v6_conlat_1(X2,X1)
& ~ v7_conlat_1(X2,X1)
& v9_conlat_1(X2,X1)
& l3_conlat_1(X2,X1) )
=> k9_conlat_2(k7_conlat_2(X1),k9_conlat_2(X1,X2)) = X2 ) ),
inference(assume_negation,[status(cth)],[t20_conlat_2]) ).
fof(c_0_8,plain,
! [X2] :
( v3_conlat_1(X2)
| ~ v4_conlat_1(X2)
| ~ l2_conlat_1(X2)
| k7_conlat_2(k7_conlat_2(X2)) = X2 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t17_conlat_2])])]) ).
fof(c_0_9,negated_conjecture,
( ~ v3_conlat_1(esk1_0)
& v4_conlat_1(esk1_0)
& l2_conlat_1(esk1_0)
& v6_conlat_1(esk2_0,esk1_0)
& ~ v7_conlat_1(esk2_0,esk1_0)
& v9_conlat_1(esk2_0,esk1_0)
& l3_conlat_1(esk2_0,esk1_0)
& k9_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0)) != esk2_0 ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_7])])])])])]) ).
fof(c_0_10,plain,
! [X4,X5,X6] :
( ( u4_conlat_1(k7_conlat_2(X4),X6) = u5_conlat_1(X4,X5)
| X6 != k8_conlat_2(X4,X5)
| ~ v6_conlat_1(X6,k7_conlat_2(X4))
| ~ l3_conlat_1(X6,k7_conlat_2(X4))
| ~ l3_conlat_1(X5,X4)
| v3_conlat_1(X4)
| ~ l2_conlat_1(X4) )
& ( u5_conlat_1(k7_conlat_2(X4),X6) = u4_conlat_1(X4,X5)
| X6 != k8_conlat_2(X4,X5)
| ~ v6_conlat_1(X6,k7_conlat_2(X4))
| ~ l3_conlat_1(X6,k7_conlat_2(X4))
| ~ l3_conlat_1(X5,X4)
| v3_conlat_1(X4)
| ~ l2_conlat_1(X4) )
& ( u4_conlat_1(k7_conlat_2(X4),X6) != u5_conlat_1(X4,X5)
| u5_conlat_1(k7_conlat_2(X4),X6) != u4_conlat_1(X4,X5)
| X6 = k8_conlat_2(X4,X5)
| ~ v6_conlat_1(X6,k7_conlat_2(X4))
| ~ l3_conlat_1(X6,k7_conlat_2(X4))
| ~ l3_conlat_1(X5,X4)
| v3_conlat_1(X4)
| ~ l2_conlat_1(X4) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[d8_conlat_2])])])])])])]) ).
cnf(c_0_11,plain,
( k7_conlat_2(k7_conlat_2(X1)) = X1
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1)
| ~ v4_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,negated_conjecture,
v4_conlat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,negated_conjecture,
l2_conlat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,negated_conjecture,
~ v3_conlat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_15,plain,
! [X3,X4] :
( ( v6_conlat_1(k8_conlat_2(X3,X4),k7_conlat_2(X3))
| v3_conlat_1(X3)
| ~ l2_conlat_1(X3)
| ~ l3_conlat_1(X4,X3) )
& ( l3_conlat_1(k8_conlat_2(X3,X4),k7_conlat_2(X3))
| v3_conlat_1(X3)
| ~ l2_conlat_1(X3)
| ~ l3_conlat_1(X4,X3) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k8_conlat_2])])])]) ).
cnf(c_0_16,plain,
( v3_conlat_1(X1)
| X3 = k8_conlat_2(X1,X2)
| ~ l2_conlat_1(X1)
| ~ l3_conlat_1(X2,X1)
| ~ l3_conlat_1(X3,k7_conlat_2(X1))
| ~ v6_conlat_1(X3,k7_conlat_2(X1))
| u5_conlat_1(k7_conlat_2(X1),X3) != u4_conlat_1(X1,X2)
| u4_conlat_1(k7_conlat_2(X1),X3) != u5_conlat_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_17,negated_conjecture,
k7_conlat_2(k7_conlat_2(esk1_0)) = esk1_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13])]),c_0_14]) ).
cnf(c_0_18,plain,
( v3_conlat_1(X1)
| u5_conlat_1(k7_conlat_2(X1),X3) = u4_conlat_1(X1,X2)
| ~ l2_conlat_1(X1)
| ~ l3_conlat_1(X2,X1)
| ~ l3_conlat_1(X3,k7_conlat_2(X1))
| ~ v6_conlat_1(X3,k7_conlat_2(X1))
| X3 != k8_conlat_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_19,plain,
( v3_conlat_1(X2)
| l3_conlat_1(k8_conlat_2(X2,X1),k7_conlat_2(X2))
| ~ l3_conlat_1(X1,X2)
| ~ l2_conlat_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_20,plain,
( v3_conlat_1(X2)
| v6_conlat_1(k8_conlat_2(X2,X1),k7_conlat_2(X2))
| ~ l3_conlat_1(X1,X2)
| ~ l2_conlat_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_21,negated_conjecture,
( X1 = k8_conlat_2(k7_conlat_2(esk1_0),X2)
| v3_conlat_1(k7_conlat_2(esk1_0))
| u4_conlat_1(esk1_0,X1) != u5_conlat_1(k7_conlat_2(esk1_0),X2)
| u5_conlat_1(esk1_0,X1) != u4_conlat_1(k7_conlat_2(esk1_0),X2)
| ~ v6_conlat_1(X1,esk1_0)
| ~ l3_conlat_1(X2,k7_conlat_2(esk1_0))
| ~ l3_conlat_1(X1,esk1_0)
| ~ l2_conlat_1(k7_conlat_2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_22,plain,
( u5_conlat_1(k7_conlat_2(X1),k8_conlat_2(X1,X2)) = u4_conlat_1(X1,X2)
| v3_conlat_1(X1)
| ~ l3_conlat_1(X2,X1)
| ~ l2_conlat_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_18]),c_0_19]),c_0_20]) ).
cnf(c_0_23,plain,
( v3_conlat_1(X1)
| u4_conlat_1(k7_conlat_2(X1),X3) = u5_conlat_1(X1,X2)
| ~ l2_conlat_1(X1)
| ~ l3_conlat_1(X2,X1)
| ~ l3_conlat_1(X3,k7_conlat_2(X1))
| ~ v6_conlat_1(X3,k7_conlat_2(X1))
| X3 != k8_conlat_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_24,plain,
! [X2] :
( ( ~ v3_conlat_1(k7_conlat_2(X2))
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) )
& ( v4_conlat_1(k7_conlat_2(X2))
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) )
& ( l2_conlat_1(k7_conlat_2(X2))
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k7_conlat_2])])])]) ).
cnf(c_0_25,negated_conjecture,
( X1 = k8_conlat_2(k7_conlat_2(esk1_0),k8_conlat_2(esk1_0,X2))
| v3_conlat_1(k7_conlat_2(esk1_0))
| u5_conlat_1(esk1_0,X1) != u4_conlat_1(k7_conlat_2(esk1_0),k8_conlat_2(esk1_0,X2))
| u4_conlat_1(esk1_0,X1) != u4_conlat_1(esk1_0,X2)
| ~ v6_conlat_1(X1,esk1_0)
| ~ l3_conlat_1(k8_conlat_2(esk1_0,X2),k7_conlat_2(esk1_0))
| ~ l3_conlat_1(X1,esk1_0)
| ~ l3_conlat_1(X2,esk1_0)
| ~ l2_conlat_1(k7_conlat_2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_13])]),c_0_14]) ).
cnf(c_0_26,plain,
( u4_conlat_1(k7_conlat_2(X1),k8_conlat_2(X1,X2)) = u5_conlat_1(X1,X2)
| v3_conlat_1(X1)
| ~ l3_conlat_1(X2,X1)
| ~ l2_conlat_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_23]),c_0_19]),c_0_20]) ).
fof(c_0_27,plain,
! [X3,X4] :
( ( v6_conlat_1(k9_conlat_2(X3,X4),k7_conlat_2(X3))
| v3_conlat_1(X3)
| ~ l2_conlat_1(X3)
| v7_conlat_1(X4,X3)
| ~ v9_conlat_1(X4,X3)
| ~ l3_conlat_1(X4,X3) )
& ( ~ v7_conlat_1(k9_conlat_2(X3,X4),k7_conlat_2(X3))
| v3_conlat_1(X3)
| ~ l2_conlat_1(X3)
| v7_conlat_1(X4,X3)
| ~ v9_conlat_1(X4,X3)
| ~ l3_conlat_1(X4,X3) )
& ( v9_conlat_1(k9_conlat_2(X3,X4),k7_conlat_2(X3))
| v3_conlat_1(X3)
| ~ l2_conlat_1(X3)
| v7_conlat_1(X4,X3)
| ~ v9_conlat_1(X4,X3)
| ~ l3_conlat_1(X4,X3) )
& ( l3_conlat_1(k9_conlat_2(X3,X4),k7_conlat_2(X3))
| v3_conlat_1(X3)
| ~ l2_conlat_1(X3)
| v7_conlat_1(X4,X3)
| ~ v9_conlat_1(X4,X3)
| ~ l3_conlat_1(X4,X3) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k9_conlat_2])])])]) ).
cnf(c_0_28,plain,
( v3_conlat_1(X1)
| v4_conlat_1(k7_conlat_2(X1))
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_29,plain,
( v3_conlat_1(X1)
| l2_conlat_1(k7_conlat_2(X1))
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_30,plain,
( v3_conlat_1(X1)
| ~ l2_conlat_1(X1)
| ~ v3_conlat_1(k7_conlat_2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_31,negated_conjecture,
( X1 = k8_conlat_2(k7_conlat_2(esk1_0),k8_conlat_2(esk1_0,X2))
| v3_conlat_1(k7_conlat_2(esk1_0))
| u5_conlat_1(esk1_0,X1) != u5_conlat_1(esk1_0,X2)
| u4_conlat_1(esk1_0,X1) != u4_conlat_1(esk1_0,X2)
| ~ v6_conlat_1(X1,esk1_0)
| ~ l3_conlat_1(k8_conlat_2(esk1_0,X2),k7_conlat_2(esk1_0))
| ~ l3_conlat_1(X1,esk1_0)
| ~ l3_conlat_1(X2,esk1_0)
| ~ l2_conlat_1(k7_conlat_2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_13])]),c_0_14]) ).
fof(c_0_32,plain,
! [X3,X4] :
( v3_conlat_1(X3)
| ~ l2_conlat_1(X3)
| v7_conlat_1(X4,X3)
| ~ v9_conlat_1(X4,X3)
| ~ l3_conlat_1(X4,X3)
| k9_conlat_2(X3,X4) = k8_conlat_2(X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[redefinition_k9_conlat_2])])]) ).
cnf(c_0_33,plain,
( v7_conlat_1(X1,X2)
| v3_conlat_1(X2)
| ~ l3_conlat_1(X1,X2)
| ~ v9_conlat_1(X1,X2)
| ~ l2_conlat_1(X2)
| ~ v7_conlat_1(k9_conlat_2(X2,X1),k7_conlat_2(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_34,plain,
( k7_conlat_2(k7_conlat_2(k7_conlat_2(X1))) = k7_conlat_2(X1)
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_28]),c_0_29]),c_0_30]) ).
cnf(c_0_35,negated_conjecture,
( k8_conlat_2(k7_conlat_2(esk1_0),k8_conlat_2(esk1_0,X1)) = X1
| v3_conlat_1(k7_conlat_2(esk1_0))
| ~ v6_conlat_1(X1,esk1_0)
| ~ l3_conlat_1(k8_conlat_2(esk1_0,X1),k7_conlat_2(esk1_0))
| ~ l3_conlat_1(X1,esk1_0)
| ~ l2_conlat_1(k7_conlat_2(esk1_0)) ),
inference(er,[status(thm)],[c_0_31]) ).
cnf(c_0_36,plain,
( k9_conlat_2(X1,X2) = k8_conlat_2(X1,X2)
| v7_conlat_1(X2,X1)
| v3_conlat_1(X1)
| ~ l3_conlat_1(X2,X1)
| ~ v9_conlat_1(X2,X1)
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_37,plain,
( v7_conlat_1(X1,k7_conlat_2(k7_conlat_2(X2)))
| v3_conlat_1(k7_conlat_2(k7_conlat_2(X2)))
| v3_conlat_1(X2)
| ~ v9_conlat_1(X1,k7_conlat_2(k7_conlat_2(X2)))
| ~ v7_conlat_1(k9_conlat_2(k7_conlat_2(k7_conlat_2(X2)),X1),k7_conlat_2(X2))
| ~ l3_conlat_1(X1,k7_conlat_2(k7_conlat_2(X2)))
| ~ l2_conlat_1(k7_conlat_2(k7_conlat_2(X2)))
| ~ l2_conlat_1(X2) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_38,negated_conjecture,
( k8_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,X1)) = X1
| v7_conlat_1(X1,esk1_0)
| v3_conlat_1(k7_conlat_2(esk1_0))
| ~ v9_conlat_1(X1,esk1_0)
| ~ v6_conlat_1(X1,esk1_0)
| ~ l3_conlat_1(k9_conlat_2(esk1_0,X1),k7_conlat_2(esk1_0))
| ~ l3_conlat_1(X1,esk1_0)
| ~ l2_conlat_1(k7_conlat_2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_13])]),c_0_14]) ).
cnf(c_0_39,negated_conjecture,
( v7_conlat_1(X1,esk1_0)
| ~ v9_conlat_1(X1,esk1_0)
| ~ v7_conlat_1(k9_conlat_2(esk1_0,X1),k7_conlat_2(esk1_0))
| ~ l3_conlat_1(X1,esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_17]),c_0_13])]),c_0_14]) ).
cnf(c_0_40,negated_conjecture,
k9_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0)) != esk2_0,
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_41,negated_conjecture,
( k9_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,X1)) = X1
| v7_conlat_1(X1,esk1_0)
| v3_conlat_1(k7_conlat_2(esk1_0))
| ~ v9_conlat_1(k9_conlat_2(esk1_0,X1),k7_conlat_2(esk1_0))
| ~ v9_conlat_1(X1,esk1_0)
| ~ v6_conlat_1(X1,esk1_0)
| ~ l3_conlat_1(k9_conlat_2(esk1_0,X1),k7_conlat_2(esk1_0))
| ~ l3_conlat_1(X1,esk1_0)
| ~ l2_conlat_1(k7_conlat_2(esk1_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_38]),c_0_39]) ).
cnf(c_0_42,negated_conjecture,
v9_conlat_1(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_43,negated_conjecture,
v6_conlat_1(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_44,negated_conjecture,
l3_conlat_1(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_45,negated_conjecture,
~ v7_conlat_1(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_46,negated_conjecture,
( v3_conlat_1(k7_conlat_2(esk1_0))
| ~ v9_conlat_1(k9_conlat_2(esk1_0,esk2_0),k7_conlat_2(esk1_0))
| ~ l3_conlat_1(k9_conlat_2(esk1_0,esk2_0),k7_conlat_2(esk1_0))
| ~ l2_conlat_1(k7_conlat_2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]),c_0_43]),c_0_44])]),c_0_45]) ).
cnf(c_0_47,plain,
( v7_conlat_1(X1,X2)
| v3_conlat_1(X2)
| v9_conlat_1(k9_conlat_2(X2,X1),k7_conlat_2(X2))
| ~ l3_conlat_1(X1,X2)
| ~ v9_conlat_1(X1,X2)
| ~ l2_conlat_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_48,negated_conjecture,
( v3_conlat_1(k7_conlat_2(esk1_0))
| ~ l3_conlat_1(k9_conlat_2(esk1_0,esk2_0),k7_conlat_2(esk1_0))
| ~ l2_conlat_1(k7_conlat_2(esk1_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_42]),c_0_44]),c_0_13])]),c_0_45]),c_0_14]) ).
cnf(c_0_49,plain,
( v7_conlat_1(X1,X2)
| v3_conlat_1(X2)
| l3_conlat_1(k9_conlat_2(X2,X1),k7_conlat_2(X2))
| ~ l3_conlat_1(X1,X2)
| ~ v9_conlat_1(X1,X2)
| ~ l2_conlat_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_50,negated_conjecture,
( v3_conlat_1(k7_conlat_2(esk1_0))
| ~ l2_conlat_1(k7_conlat_2(esk1_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_42]),c_0_44]),c_0_13])]),c_0_45]),c_0_14]) ).
cnf(c_0_51,negated_conjecture,
v3_conlat_1(k7_conlat_2(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_29]),c_0_13])]),c_0_14]) ).
cnf(c_0_52,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_51]),c_0_13])]),c_0_14]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LAT345+3 : TPTP v8.1.0. Released v3.4.0.
% 0.00/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 30 02:32:23 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.25/24.30 eprover: CPU time limit exceeded, terminating
% 1.25/24.30 eprover: CPU time limit exceeded, terminating
% 1.25/24.31 eprover: CPU time limit exceeded, terminating
% 1.25/24.31 eprover: CPU time limit exceeded, terminating
% 1.25/25.44 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 1.25/25.44
% 1.25/25.44 # Failure: Resource limit exceeded (time)
% 1.25/25.44 # OLD status Res
% 1.25/25.44 # Preprocessing time : 3.750 s
% 1.25/25.44 # Running protocol protocol_eprover_f6eb5f7f05126ea361481ae651a4823314e3d740 for 23 seconds:
% 1.25/25.44 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,02,20000,1.0)
% 1.25/25.44 # Preprocessing time : 0.514 s
% 1.25/25.44
% 1.25/25.44 # Proof found!
% 1.25/25.44 # SZS status Theorem
% 1.25/25.44 # SZS output start CNFRefutation
% See solution above
% 1.25/25.44 # Proof object total steps : 53
% 1.25/25.44 # Proof object clause steps : 38
% 1.25/25.44 # Proof object formula steps : 15
% 1.25/25.44 # Proof object conjectures : 24
% 1.25/25.44 # Proof object clause conjectures : 21
% 1.25/25.44 # Proof object formula conjectures : 3
% 1.25/25.44 # Proof object initial clauses used : 21
% 1.25/25.44 # Proof object initial formulas used : 7
% 1.25/25.44 # Proof object generating inferences : 17
% 1.25/25.44 # Proof object simplifying inferences : 45
% 1.25/25.44 # Training examples: 0 positive, 0 negative
% 1.25/25.44 # Parsed axioms : 18324
% 1.25/25.44 # Removed by relevancy pruning/SinE : 18265
% 1.25/25.44 # Initial clauses : 121
% 1.25/25.44 # Removed in clause preprocessing : 2
% 1.25/25.44 # Initial clauses in saturation : 119
% 1.25/25.44 # Processed clauses : 265
% 1.25/25.44 # ...of these trivial : 0
% 1.25/25.44 # ...subsumed : 41
% 1.25/25.44 # ...remaining for further processing : 224
% 1.25/25.44 # Other redundant clauses eliminated : 4
% 1.25/25.44 # Clauses deleted for lack of memory : 0
% 1.25/25.44 # Backward-subsumed : 24
% 1.25/25.44 # Backward-rewritten : 1
% 1.25/25.44 # Generated clauses : 610
% 1.25/25.44 # ...of the previous two non-trivial : 565
% 1.25/25.44 # Contextual simplify-reflections : 24
% 1.25/25.44 # Paramodulations : 598
% 1.25/25.44 # Factorizations : 0
% 1.25/25.44 # Equation resolutions : 12
% 1.25/25.44 # Current number of processed clauses : 199
% 1.25/25.44 # Positive orientable unit clauses : 17
% 1.25/25.44 # Positive unorientable unit clauses: 0
% 1.25/25.44 # Negative unit clauses : 5
% 1.25/25.44 # Non-unit-clauses : 177
% 1.25/25.44 # Current number of unprocessed clauses: 391
% 1.25/25.44 # ...number of literals in the above : 2584
% 1.25/25.44 # Current number of archived formulas : 0
% 1.25/25.44 # Current number of archived clauses : 25
% 1.25/25.44 # Clause-clause subsumption calls (NU) : 17365
% 1.25/25.44 # Rec. Clause-clause subsumption calls : 1770
% 1.25/25.44 # Non-unit clause-clause subsumptions : 87
% 1.25/25.44 # Unit Clause-clause subsumption calls : 284
% 1.25/25.44 # Rewrite failures with RHS unbound : 0
% 1.25/25.44 # BW rewrite match attempts : 1
% 1.25/25.44 # BW rewrite match successes : 1
% 1.25/25.44 # Condensation attempts : 0
% 1.25/25.44 # Condensation successes : 0
% 1.25/25.44 # Termbank termtop insertions : 532428
% 1.25/25.44
% 1.25/25.44 # -------------------------------------------------
% 1.25/25.44 # User time : 0.515 s
% 1.25/25.44 # System time : 0.030 s
% 1.25/25.44 # Total time : 0.545 s
% 1.25/25.44 # Maximum resident set size: 45068 pages
% 1.25/47.33 eprover: CPU time limit exceeded, terminating
% 1.25/47.33 eprover: CPU time limit exceeded, terminating
% 1.25/47.35 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.25/47.35 eprover: No such file or directory
% 1.25/47.35 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.25/47.35 eprover: No such file or directory
% 1.25/47.36 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.25/47.36 eprover: No such file or directory
% 1.25/47.36 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.25/47.36 eprover: No such file or directory
% 1.25/47.37 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.25/47.37 eprover: No such file or directory
% 1.25/47.37 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.25/47.37 eprover: No such file or directory
% 1.25/47.37 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.25/47.37 eprover: No such file or directory
% 1.25/47.37 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.25/47.37 eprover: No such file or directory
% 1.25/47.37 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.25/47.37 eprover: No such file or directory
% 1.25/47.38 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.25/47.38 eprover: No such file or directory
% 1.25/47.38 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.25/47.38 eprover: No such file or directory
% 1.25/47.38 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.25/47.38 eprover: No such file or directory
% 1.25/47.38 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.25/47.38 eprover: No such file or directory
% 1.25/47.38 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.25/47.38 eprover: No such file or directory
% 1.25/47.39 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.25/47.39 eprover: No such file or directory
% 1.25/47.40 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.25/47.40 eprover: No such file or directory
% 1.25/47.40 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.25/47.40 eprover: No such file or directory
% 1.25/47.41 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.25/47.41 eprover: No such file or directory
% 1.25/47.41 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.25/47.41 eprover: No such file or directory
% 1.25/47.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.25/47.42 eprover: No such file or directory
% 1.25/47.84 eprover: CPU time limit exceeded, terminating
% 1.25/47.86 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.25/47.86 eprover: No such file or directory
% 1.25/47.87 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.25/47.87 eprover: No such file or directory
% 1.25/47.87 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.25/47.87 eprover: No such file or directory
% 1.25/47.88 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.25/47.88 eprover: No such file or directory
% 1.25/47.88 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.25/47.88 eprover: No such file or directory
% 1.25/47.89 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.25/47.89 eprover: No such file or directory
% 1.25/47.90 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.25/47.90 eprover: No such file or directory
% 1.25/47.90 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.25/47.90 eprover: No such file or directory
% 1.25/47.91 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.25/47.91 eprover: No such file or directory
%------------------------------------------------------------------------------