%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LAT345+4 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:05:02 PM UTC 2026
% Result : Theorem 0.29s 10.41s
% Output : CNFRefutation 0.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 7
% Syntax : Number of formulae : 54 ( 9 unt; 0 def)
% Number of atoms : 324 ( 49 equ)
% Maximal formula atoms : 24 ( 6 avg)
% Number of connectives : 432 ( 162 ~; 172 |; 74 &)
% ( 2 <=>; 22 =>; 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 : 87 ( 0 sgn 39 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d8_conlat_2,axiom,
! [X1] :
( ( l2_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> ! [X2] :
( l3_conlat_1(X2,X1)
=> ! [X3] :
( ( l3_conlat_1(X3,k7_conlat_2(X1))
& v6_conlat_1(X3,k7_conlat_2(X1)) )
=> ( X3 = k8_conlat_2(X1,X2)
<=> ( 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) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_conlat_2) ).
fof(dt_k8_conlat_2,axiom,
! [X1,X2] :
( ( l3_conlat_1(X2,X1)
& l2_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> ( l3_conlat_1(k8_conlat_2(X1,X2),k7_conlat_2(X1))
& v6_conlat_1(k8_conlat_2(X1,X2),k7_conlat_2(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_conlat_2) ).
fof(dt_k7_conlat_2,axiom,
! [X1] :
( ( l2_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> ( l2_conlat_1(k7_conlat_2(X1))
& v4_conlat_1(k7_conlat_2(X1))
& ~ v3_conlat_1(k7_conlat_2(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_conlat_2) ).
fof(t17_conlat_2,axiom,
! [X1] :
( ( l2_conlat_1(X1)
& v4_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> k7_conlat_2(k7_conlat_2(X1)) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_conlat_2) ).
fof(redefinition_k9_conlat_2,axiom,
! [X1,X2] :
( ( l3_conlat_1(X2,X1)
& v9_conlat_1(X2,X1)
& ~ v7_conlat_1(X2,X1)
& l2_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> k9_conlat_2(X1,X2) = k8_conlat_2(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k9_conlat_2) ).
fof(t20_conlat_2,conjecture,
! [X1] :
( ( l2_conlat_1(X1)
& v4_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> ! [X2] :
( ( l3_conlat_1(X2,X1)
& v9_conlat_1(X2,X1)
& ~ v7_conlat_1(X2,X1)
& v6_conlat_1(X2,X1) )
=> k9_conlat_2(k7_conlat_2(X1),k9_conlat_2(X1,X2)) = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t20_conlat_2) ).
fof(dt_k9_conlat_2,axiom,
! [X1,X2] :
( ( l3_conlat_1(X2,X1)
& v9_conlat_1(X2,X1)
& ~ v7_conlat_1(X2,X1)
& l2_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> ( l3_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1))
& v9_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1))
& ~ v7_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1))
& v6_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k9_conlat_2) ).
fof(c_0_7,plain,
! [X1] :
( ( l2_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> ! [X2] :
( l3_conlat_1(X2,X1)
=> ! [X3] :
( ( l3_conlat_1(X3,k7_conlat_2(X1))
& v6_conlat_1(X3,k7_conlat_2(X1)) )
=> ( X3 = k8_conlat_2(X1,X2)
<=> ( 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(fof_simplification,[status(thm)],[d8_conlat_2]) ).
fof(c_0_8,plain,
! [X1,X2] :
( ( l3_conlat_1(X2,X1)
& l2_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> ( l3_conlat_1(k8_conlat_2(X1,X2),k7_conlat_2(X1))
& v6_conlat_1(k8_conlat_2(X1,X2),k7_conlat_2(X1)) ) ),
inference(fof_simplification,[status(thm)],[dt_k8_conlat_2]) ).
fof(c_0_9,plain,
! [X73,X74,X75] :
( ( ~ l2_conlat_1(X73)
| v3_conlat_1(X73)
| ~ l3_conlat_1(X74,X73)
| ~ l3_conlat_1(X75,k7_conlat_2(X73))
| ~ v6_conlat_1(X75,k7_conlat_2(X73))
| X75 = k8_conlat_2(X73,X74)
| u5_conlat_1(k7_conlat_2(X73),X75) != u4_conlat_1(X73,X74)
| u4_conlat_1(k7_conlat_2(X73),X75) != u5_conlat_1(X73,X74) )
& ( ~ l2_conlat_1(X73)
| v3_conlat_1(X73)
| ~ l3_conlat_1(X74,X73)
| ~ l3_conlat_1(X75,k7_conlat_2(X73))
| ~ v6_conlat_1(X75,k7_conlat_2(X73))
| X75 != k8_conlat_2(X73,X74)
| u5_conlat_1(k7_conlat_2(X73),X75) = u4_conlat_1(X73,X74) )
& ( ~ l2_conlat_1(X73)
| v3_conlat_1(X73)
| ~ l3_conlat_1(X74,X73)
| ~ l3_conlat_1(X75,k7_conlat_2(X73))
| ~ v6_conlat_1(X75,k7_conlat_2(X73))
| X75 != k8_conlat_2(X73,X74)
| u4_conlat_1(k7_conlat_2(X73),X75) = u5_conlat_1(X73,X74) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])])]) ).
fof(c_0_10,plain,
! [X71,X72] :
( ( ~ l3_conlat_1(X72,X71)
| ~ l2_conlat_1(X71)
| v3_conlat_1(X71)
| l3_conlat_1(k8_conlat_2(X71,X72),k7_conlat_2(X71)) )
& ( ~ l3_conlat_1(X72,X71)
| ~ l2_conlat_1(X71)
| v3_conlat_1(X71)
| v6_conlat_1(k8_conlat_2(X71,X72),k7_conlat_2(X71)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])]) ).
fof(c_0_11,plain,
! [X1] :
( ( l2_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> ( l2_conlat_1(k7_conlat_2(X1))
& v4_conlat_1(k7_conlat_2(X1))
& ~ v3_conlat_1(k7_conlat_2(X1)) ) ),
inference(fof_simplification,[status(thm)],[dt_k7_conlat_2]) ).
cnf(c_0_12,plain,
( ~ l2_conlat_1(X1)
| ~ l3_conlat_1(X3,X1)
| ~ l3_conlat_1(X2,k7_conlat_2(X1))
| ~ v6_conlat_1(X2,k7_conlat_2(X1))
| X2 != k8_conlat_2(X1,X3)
| v3_conlat_1(X1)
| u5_conlat_1(k7_conlat_2(X1),X2) = u4_conlat_1(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,plain,
( ~ l3_conlat_1(X2,X1)
| ~ l2_conlat_1(X1)
| v3_conlat_1(X1)
| l3_conlat_1(k8_conlat_2(X1,X2),k7_conlat_2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,plain,
( ~ l3_conlat_1(X2,X1)
| ~ l2_conlat_1(X1)
| v3_conlat_1(X1)
| v6_conlat_1(k8_conlat_2(X1,X2),k7_conlat_2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_15,plain,
! [X58] :
( ( ~ l2_conlat_1(X58)
| v3_conlat_1(X58)
| l2_conlat_1(k7_conlat_2(X58)) )
& ( ~ l2_conlat_1(X58)
| v3_conlat_1(X58)
| v4_conlat_1(k7_conlat_2(X58)) )
& ( ~ l2_conlat_1(X58)
| v3_conlat_1(X58)
| ~ v3_conlat_1(k7_conlat_2(X58)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])]) ).
fof(c_0_16,plain,
! [X1] :
( ( l2_conlat_1(X1)
& v4_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> k7_conlat_2(k7_conlat_2(X1)) = X1 ),
inference(fof_simplification,[status(thm)],[t17_conlat_2]) ).
cnf(c_0_17,plain,
( ~ l2_conlat_1(X1)
| ~ l3_conlat_1(X3,X1)
| ~ l3_conlat_1(X2,k7_conlat_2(X1))
| ~ v6_conlat_1(X2,k7_conlat_2(X1))
| u5_conlat_1(k7_conlat_2(X1),X2) != u4_conlat_1(X1,X3)
| u4_conlat_1(k7_conlat_2(X1),X2) != u5_conlat_1(X1,X3)
| v3_conlat_1(X1)
| X2 = k8_conlat_2(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_18,plain,
( ~ l2_conlat_1(X1)
| ~ l3_conlat_1(X2,X1)
| v3_conlat_1(X1)
| u5_conlat_1(k7_conlat_2(X1),k8_conlat_2(X1,X2)) = u4_conlat_1(X1,X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_12]),c_0_13]),c_0_14]) ).
cnf(c_0_19,plain,
( ~ l2_conlat_1(X1)
| v3_conlat_1(X1)
| l2_conlat_1(k7_conlat_2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_20,plain,
( ~ l2_conlat_1(X1)
| ~ v3_conlat_1(k7_conlat_2(X1))
| v3_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_21,plain,
! [X59] :
( k7_conlat_2(k7_conlat_2(X59)) = X59
| ~ l2_conlat_1(X59)
| ~ v4_conlat_1(X59)
| v3_conlat_1(X59) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])]) ).
cnf(c_0_22,plain,
( ~ l2_conlat_1(X2)
| ~ l3_conlat_1(X3,X2)
| ~ l3_conlat_1(X1,k7_conlat_2(k7_conlat_2(X2)))
| ~ v6_conlat_1(X1,k7_conlat_2(k7_conlat_2(X2)))
| u4_conlat_1(k7_conlat_2(k7_conlat_2(X2)),X1) != u4_conlat_1(X2,X3)
| u5_conlat_1(k7_conlat_2(k7_conlat_2(X2)),X1) != u4_conlat_1(k7_conlat_2(X2),k8_conlat_2(X2,X3))
| v3_conlat_1(X2)
| X1 = k8_conlat_2(k7_conlat_2(X2),k8_conlat_2(X2,X3)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),c_0_13]),c_0_20]) ).
cnf(c_0_23,plain,
( ~ l2_conlat_1(X1)
| ~ v4_conlat_1(X1)
| k7_conlat_2(k7_conlat_2(X1)) = X1
| v3_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_24,plain,
( ~ l2_conlat_1(X1)
| ~ l3_conlat_1(X3,X1)
| ~ l3_conlat_1(X2,k7_conlat_2(X1))
| ~ v6_conlat_1(X2,k7_conlat_2(X1))
| X2 != k8_conlat_2(X1,X3)
| v3_conlat_1(X1)
| u4_conlat_1(k7_conlat_2(X1),X2) = u5_conlat_1(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_25,plain,
( ~ l2_conlat_1(X2)
| ~ v4_conlat_1(X2)
| ~ l3_conlat_1(X3,X2)
| ~ l3_conlat_1(X1,X2)
| ~ v6_conlat_1(X1,X2)
| u4_conlat_1(X2,X1) != u4_conlat_1(X2,X3)
| u5_conlat_1(X2,X1) != u4_conlat_1(k7_conlat_2(X2),k8_conlat_2(X2,X3))
| v3_conlat_1(X2)
| X1 = k8_conlat_2(k7_conlat_2(X2),k8_conlat_2(X2,X3)) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_26,plain,
( ~ l2_conlat_1(X1)
| ~ l3_conlat_1(X2,X1)
| v3_conlat_1(X1)
| u4_conlat_1(k7_conlat_2(X1),k8_conlat_2(X1,X2)) = u5_conlat_1(X1,X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_24]),c_0_13]),c_0_14]) ).
fof(c_0_27,plain,
! [X1,X2] :
( ( l3_conlat_1(X2,X1)
& v9_conlat_1(X2,X1)
& ~ v7_conlat_1(X2,X1)
& l2_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> k9_conlat_2(X1,X2) = k8_conlat_2(X1,X2) ),
inference(fof_simplification,[status(thm)],[redefinition_k9_conlat_2]) ).
cnf(c_0_28,plain,
( ~ l2_conlat_1(X2)
| ~ v4_conlat_1(X2)
| ~ l3_conlat_1(X3,X2)
| ~ l3_conlat_1(X1,X2)
| ~ v6_conlat_1(X1,X2)
| u4_conlat_1(X2,X1) != u4_conlat_1(X2,X3)
| u5_conlat_1(X2,X1) != u5_conlat_1(X2,X3)
| v3_conlat_1(X2)
| X1 = k8_conlat_2(k7_conlat_2(X2),k8_conlat_2(X2,X3)) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
fof(c_0_29,plain,
! [X56,X57] :
( k9_conlat_2(X56,X57) = k8_conlat_2(X56,X57)
| ~ l3_conlat_1(X57,X56)
| ~ v9_conlat_1(X57,X56)
| v7_conlat_1(X57,X56)
| ~ l2_conlat_1(X56)
| v3_conlat_1(X56) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])]) ).
cnf(c_0_30,plain,
( ~ l2_conlat_1(X1)
| ~ v4_conlat_1(X1)
| ~ l3_conlat_1(X2,X1)
| ~ v6_conlat_1(X2,X1)
| v3_conlat_1(X1)
| k8_conlat_2(k7_conlat_2(X1),k8_conlat_2(X1,X2)) = X2 ),
inference(er,[status(thm)],[c_0_28]) ).
cnf(c_0_31,plain,
( ~ l2_conlat_1(X1)
| v3_conlat_1(X1)
| v4_conlat_1(k7_conlat_2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_32,negated_conjecture,
~ ! [X1] :
( ( l2_conlat_1(X1)
& v4_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> ! [X2] :
( ( l3_conlat_1(X2,X1)
& v9_conlat_1(X2,X1)
& ~ v7_conlat_1(X2,X1)
& v6_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]) ).
cnf(c_0_33,plain,
( ~ l3_conlat_1(X2,X1)
| ~ v9_conlat_1(X2,X1)
| ~ l2_conlat_1(X1)
| k9_conlat_2(X1,X2) = k8_conlat_2(X1,X2)
| v7_conlat_1(X2,X1)
| v3_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_34,plain,
( ~ l2_conlat_1(X1)
| ~ v4_conlat_1(X1)
| ~ l3_conlat_1(X2,k7_conlat_2(X1))
| ~ v6_conlat_1(X2,k7_conlat_2(X1))
| v3_conlat_1(X1)
| k8_conlat_2(X1,k8_conlat_2(k7_conlat_2(X1),X2)) = X2 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_23]),c_0_19]),c_0_31]),c_0_20]) ).
cnf(c_0_35,plain,
( ~ l2_conlat_1(X1)
| ~ v4_conlat_1(X1)
| ~ l3_conlat_1(X2,k7_conlat_2(X1))
| v3_conlat_1(X1)
| l3_conlat_1(k8_conlat_2(k7_conlat_2(X1),X2),X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_23]),c_0_19]),c_0_20]) ).
fof(c_0_36,plain,
! [X1,X2] :
( ( l3_conlat_1(X2,X1)
& v9_conlat_1(X2,X1)
& ~ v7_conlat_1(X2,X1)
& l2_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> ( l3_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1))
& v9_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1))
& ~ v7_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1))
& v6_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1)) ) ),
inference(fof_simplification,[status(thm)],[dt_k9_conlat_2]) ).
fof(c_0_37,negated_conjecture,
~ ! [X1] :
( ( l2_conlat_1(X1)
& v4_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> ! [X2] :
( ( l3_conlat_1(X2,X1)
& v9_conlat_1(X2,X1)
& ~ v7_conlat_1(X2,X1)
& v6_conlat_1(X2,X1) )
=> k9_conlat_2(k7_conlat_2(X1),k9_conlat_2(X1,X2)) = X2 ) ),
inference(fof_simplification,[status(thm)],[c_0_32]) ).
cnf(c_0_38,plain,
( ~ l2_conlat_1(X1)
| ~ v4_conlat_1(X1)
| ~ l3_conlat_1(X2,k7_conlat_2(X1))
| ~ v6_conlat_1(X2,k7_conlat_2(X1))
| ~ v9_conlat_1(k8_conlat_2(k7_conlat_2(X1),X2),X1)
| v3_conlat_1(X1)
| v7_conlat_1(k8_conlat_2(k7_conlat_2(X1),X2),X1)
| k9_conlat_2(X1,k8_conlat_2(k7_conlat_2(X1),X2)) = X2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]) ).
fof(c_0_39,plain,
! [X54,X55] :
( ( ~ l3_conlat_1(X55,X54)
| ~ v9_conlat_1(X55,X54)
| v7_conlat_1(X55,X54)
| ~ l2_conlat_1(X54)
| v3_conlat_1(X54)
| l3_conlat_1(k9_conlat_2(X54,X55),k7_conlat_2(X54)) )
& ( ~ l3_conlat_1(X55,X54)
| ~ v9_conlat_1(X55,X54)
| v7_conlat_1(X55,X54)
| ~ l2_conlat_1(X54)
| v3_conlat_1(X54)
| v9_conlat_1(k9_conlat_2(X54,X55),k7_conlat_2(X54)) )
& ( ~ l3_conlat_1(X55,X54)
| ~ v9_conlat_1(X55,X54)
| v7_conlat_1(X55,X54)
| ~ l2_conlat_1(X54)
| v3_conlat_1(X54)
| ~ v7_conlat_1(k9_conlat_2(X54,X55),k7_conlat_2(X54)) )
& ( ~ l3_conlat_1(X55,X54)
| ~ v9_conlat_1(X55,X54)
| v7_conlat_1(X55,X54)
| ~ l2_conlat_1(X54)
| v3_conlat_1(X54)
| v6_conlat_1(k9_conlat_2(X54,X55),k7_conlat_2(X54)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])])]) ).
fof(c_0_40,negated_conjecture,
( k9_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0)) != esk2_0
& l3_conlat_1(esk2_0,esk1_0)
& v9_conlat_1(esk2_0,esk1_0)
& ~ v7_conlat_1(esk2_0,esk1_0)
& v6_conlat_1(esk2_0,esk1_0)
& l2_conlat_1(esk1_0)
& v4_conlat_1(esk1_0)
& ~ v3_conlat_1(esk1_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])])])]) ).
cnf(c_0_41,plain,
( ~ l2_conlat_1(X1)
| ~ v4_conlat_1(X1)
| ~ l3_conlat_1(X2,X1)
| ~ v6_conlat_1(X2,X1)
| ~ v9_conlat_1(k8_conlat_2(X1,X2),k7_conlat_2(X1))
| v3_conlat_1(X1)
| v7_conlat_1(k8_conlat_2(X1,X2),k7_conlat_2(X1))
| k9_conlat_2(k7_conlat_2(X1),k8_conlat_2(X1,X2)) = X2 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_23]),c_0_19]),c_0_31]),c_0_20]) ).
cnf(c_0_42,plain,
( ~ l3_conlat_1(X2,X1)
| ~ v9_conlat_1(X2,X1)
| ~ l2_conlat_1(X1)
| v7_conlat_1(X2,X1)
| v3_conlat_1(X1)
| v9_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_43,plain,
( ~ l3_conlat_1(X2,X1)
| ~ v9_conlat_1(X2,X1)
| ~ l2_conlat_1(X1)
| ~ v7_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1))
| v7_conlat_1(X2,X1)
| v3_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_44,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_40]) ).
cnf(c_0_45,plain,
( ~ l2_conlat_1(X1)
| ~ v4_conlat_1(X1)
| ~ l3_conlat_1(X2,X1)
| ~ v6_conlat_1(X2,X1)
| ~ v9_conlat_1(X2,X1)
| v3_conlat_1(X1)
| v7_conlat_1(X2,X1)
| k9_conlat_2(k7_conlat_2(X1),k9_conlat_2(X1,X2)) = X2 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_33]),c_0_42]),c_0_43]) ).
cnf(c_0_46,negated_conjecture,
v9_conlat_1(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_47,negated_conjecture,
v6_conlat_1(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_48,negated_conjecture,
l3_conlat_1(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_49,negated_conjecture,
v4_conlat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_50,negated_conjecture,
l2_conlat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_51,negated_conjecture,
~ v7_conlat_1(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_52,negated_conjecture,
~ v3_conlat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_53,negated_conjecture,
$false,
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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_50])]),c_0_51]),c_0_52]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LAT345+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.46 % Computer : n001.cluster.edu
% 0.17/0.46 % Model : x86_64 x86_64
% 0.17/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.46 % Memory : 8046.5625MB
% 0.17/0.46 % OS : Linux 6.8.0-71-generic
% 0.17/0.46 % CPULimit : 300
% 0.17/0.46 % WCLimit : 300
% 0.17/0.46 % DateTime : Sun Sep 20 23:50:28 UTC 2026
% 0.17/0.47 % CPUTime :
% 0.17/0.47 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/0.54 Running first-order theorem proving
% 0.23/0.54 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.29/10.41 % Version: 3.5.1
% 0.29/10.41 % Preprocessing class: FMLLMLLLSSSNFFN.
% 0.29/10.41 % Scheduled 4 strats onto 8 cores with 295 seconds (2360 total)
% 0.29/10.41 % Starting new_bool_3 with 885s (3) cores
% 0.29/10.41 % Starting new_bool_1 with 885s (3) cores
% 0.29/10.41 % Starting sh5l with 295s (1) cores
% 0.29/10.41 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 295s (1) cores
% 0.29/10.41 % G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with pid 1709388 completed with status 0
% 0.29/10.41 % Result found by G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y
% 0.29/10.41 % Preprocessing class: FMLLMLLLSSSNFFN.
% 0.29/10.41 % Scheduled 4 strats onto 8 cores with 295 seconds (2360 total)
% 0.29/10.41 % Starting new_bool_3 with 885s (3) cores
% 0.29/10.41 % Starting new_bool_1 with 885s (3) cores
% 0.29/10.41 % Starting sh5l with 295s (1) cores
% 0.29/10.41 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 295s (1) cores
% 0.29/10.41 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.29/10.41 % SinE strategy is gf120_h_gu_R02_F100_L20000
% 0.29/10.41 % Search class: FGHSM-FSLM32-MFFFFFNN
% 0.29/10.41 % Scheduled 12 strats onto 1 cores with 295 seconds (295 total)
% 0.29/10.41 % Starting SubtermCWHack with 27s (1) cores
% 0.29/10.41 % SubtermCWHack with pid 1709395 completed with status 0
% 0.29/10.41 % Result found by SubtermCWHack
% 0.29/10.41 % Preprocessing class: FMLLMLLLSSSNFFN.
% 0.29/10.41 % Scheduled 4 strats onto 8 cores with 295 seconds (2360 total)
% 0.29/10.41 % Starting new_bool_3 with 885s (3) cores
% 0.29/10.41 % Starting new_bool_1 with 885s (3) cores
% 0.29/10.41 % Starting sh5l with 295s (1) cores
% 0.29/10.41 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 295s (1) cores
% 0.29/10.41 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.29/10.41 % SinE strategy is gf120_h_gu_R02_F100_L20000
% 0.29/10.41 % Search class: FGHSM-FSLM32-MFFFFFNN
% 0.29/10.41 % Scheduled 12 strats onto 1 cores with 295 seconds (295 total)
% 0.29/10.41 % Starting SubtermCWHack with 27s (1) cores
% 0.29/10.41 % Preprocessing time : 0.014 s
% 0.29/10.41
% 0.29/10.41 % Proof found!
% 0.29/10.41 % SZS status Theorem
% 0.29/10.41 % SZS output start CNFRefutation
% See solution above
% 0.29/10.41 % Parsed axioms : 49825
% 0.29/10.41 % Removed by relevancy pruning/SinE : 49772
% 0.29/10.41 % Initial clauses : 124
% 0.29/10.41 % Removed in clause preprocessing : 4
% 0.29/10.41 % Initial clauses in saturation : 120
% 0.29/10.41 % Processed clauses : 6418
% 0.29/10.41 % ...of these trivial : 1
% 0.29/10.41 % ...subsumed : 4857
% 0.29/10.41 % ...remaining for further processing : 1560
% 0.29/10.41 % Other redundant clauses eliminated : 2
% 0.29/10.41 % Clauses deleted for lack of memory : 0
% 0.29/10.41 % Backward-subsumed : 92
% 0.29/10.41 % Backward-rewritten : 0
% 0.29/10.41 % Generated clauses : 19919
% 0.29/10.41 % ...of the previous two non-redundant : 18974
% 0.29/10.41 % ...aggressively subsumed : 0
% 0.29/10.41 % Contextual simplify-reflections : 526
% 0.29/10.41 % Paramodulations : 19899
% 0.29/10.41 % Factorizations : 13
% 0.29/10.41 % NegExts : 0
% 0.29/10.41 % Equation resolutions : 7
% 0.29/10.41 % Disequality decompositions : 0
% 0.29/10.41 % Total rewrite steps : 4848
% 0.29/10.41 % ...of those cached : 4783
% 0.29/10.41 % Propositional unsat checks : 0
% 0.29/10.41 % Propositional check models : 0
% 0.29/10.41 % Propositional check unsatisfiable : 0
% 0.29/10.41 % Propositional clauses : 0
% 0.29/10.41 % Propositional clauses after purity: 0
% 0.29/10.41 % Propositional unsat core size : 0
% 0.29/10.41 % Propositional preprocessing time : 0.000
% 0.29/10.41 % Propositional encoding time : 0.000
% 0.29/10.41 % Propositional solver time : 0.000
% 0.29/10.41 % Success case prop preproc time : 0.000
% 0.29/10.41 % Success case prop encoding time : 0.000
% 0.29/10.41 % Success case prop solver time : 0.000
% 0.29/10.41 % Current number of processed clauses : 1466
% 0.29/10.41 % Positive orientable unit clauses : 20
% 0.29/10.41 % Positive unorientable unit clauses: 0
% 0.29/10.41 % Negative unit clauses : 5
% 0.29/10.41 % Non-unit-clauses : 1441
% 0.29/10.41 % Current number of unprocessed clauses: 12425
% 0.29/10.41 % ...number of literals in the above : 103063
% 0.29/10.41 % Current number of archived formulas : 0
% 0.29/10.41 % Current number of archived clauses : 92
% 0.29/10.41 % Clause-clause subsumption calls (NU) : 580425
% 0.29/10.41 % Rec. Clause-clause subsumption calls : 30995
% 0.29/10.41 % Non-unit clause-clause subsumptions : 5260
% 0.29/10.41 % Unit Clause-clause subsumption calls : 5
% 0.29/10.41 % Rewrite failures with RHS unbound : 0
% 0.29/10.41 % BW rewrite match attempts : 0
% 0.29/10.41 % BW rewrite match successes : 0
% 0.29/10.41 % Condensation attempts : 0
% 0.29/10.41 % Condensation successes : 0
% 0.29/10.41 % Termbank termtop insertions : 2807238
% 0.29/10.41 % Search garbage collected termcells : 518061
% 0.29/10.41
% 0.29/10.41 % -------------------------------------------------
% 0.29/10.41 % User time : 3.239 s
% 0.29/10.41 % System time : 0.346 s
% 0.29/10.41 % Total time : 3.585 s
% 0.29/10.41 % Maximum resident set size: 102548 pages
% 0.29/10.41
% 0.29/10.41 % -------------------------------------------------
% 0.29/10.41 % User time : 8.264 s
% 0.29/10.41 % System time : 0.563 s
% 0.29/10.41 % Total time : 8.826 s
% 0.29/10.41 % Maximum resident set size: 82944 pages
% 0.29/10.41 % E exiting
%------------------------------------------------------------------------------