%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LAT345+3 : TPTP v9.2.1. Released v3.4.0.
% 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 : n002.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 04:38:13 PM UTC 2026
% Result : Theorem 15.00s 14.72s
% Output : CNFRefutation 15.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 57 ( 17 unt; 0 def)
% Number of atoms : 280 ( 46 equ)
% Maximal formula atoms : 24 ( 4 avg)
% Number of connectives : 347 ( 124 ~; 132 |; 69 &)
% ( 2 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 3 ( 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 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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/benchmark/theBenchmark.p',t17_conlat_2) ).
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/benchmark/theBenchmark.p',t20_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/benchmark/theBenchmark.p',dt_k7_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/benchmark/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/benchmark/theBenchmark.p',dt_k8_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/benchmark/theBenchmark.p',redefinition_k9_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/benchmark/theBenchmark.p',dt_k9_conlat_2) ).
fof(c_0_7,plain,
! [X1] :
( ( ~ v3_conlat_1(X1)
& v4_conlat_1(X1)
& l2_conlat_1(X1) )
=> k7_conlat_2(k7_conlat_2(X1)) = X1 ),
inference(fof_simplification,[status(thm)],[t17_conlat_2]) ).
fof(c_0_8,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(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t20_conlat_2])]) ).
fof(c_0_9,plain,
! [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)) ) ),
inference(fof_simplification,[status(thm)],[dt_k7_conlat_2]) ).
fof(c_0_10,plain,
! [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) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[d8_conlat_2]) ).
fof(c_0_11,plain,
! [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)) ) ),
inference(fof_simplification,[status(thm)],[dt_k8_conlat_2]) ).
fof(c_0_12,plain,
! [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) ),
inference(fof_simplification,[status(thm)],[redefinition_k9_conlat_2]) ).
fof(c_0_13,plain,
! [X138] :
( v3_conlat_1(X138)
| ~ v4_conlat_1(X138)
| ~ l2_conlat_1(X138)
| k7_conlat_2(k7_conlat_2(X138)) = X138 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])]) ).
fof(c_0_14,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(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])]) ).
fof(c_0_15,plain,
! [X137] :
( ( ~ v3_conlat_1(k7_conlat_2(X137))
| v3_conlat_1(X137)
| ~ l2_conlat_1(X137) )
& ( v4_conlat_1(k7_conlat_2(X137))
| v3_conlat_1(X137)
| ~ l2_conlat_1(X137) )
& ( l2_conlat_1(k7_conlat_2(X137))
| v3_conlat_1(X137)
| ~ l2_conlat_1(X137) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])]) ).
fof(c_0_16,plain,
! [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)) ) ),
inference(fof_simplification,[status(thm)],[dt_k9_conlat_2]) ).
fof(c_0_17,plain,
! [X152,X153,X154] :
( ( u4_conlat_1(k7_conlat_2(X152),X154) = u5_conlat_1(X152,X153)
| X154 != k8_conlat_2(X152,X153)
| ~ v6_conlat_1(X154,k7_conlat_2(X152))
| ~ l3_conlat_1(X154,k7_conlat_2(X152))
| ~ l3_conlat_1(X153,X152)
| v3_conlat_1(X152)
| ~ l2_conlat_1(X152) )
& ( u5_conlat_1(k7_conlat_2(X152),X154) = u4_conlat_1(X152,X153)
| X154 != k8_conlat_2(X152,X153)
| ~ v6_conlat_1(X154,k7_conlat_2(X152))
| ~ l3_conlat_1(X154,k7_conlat_2(X152))
| ~ l3_conlat_1(X153,X152)
| v3_conlat_1(X152)
| ~ l2_conlat_1(X152) )
& ( u4_conlat_1(k7_conlat_2(X152),X154) != u5_conlat_1(X152,X153)
| u5_conlat_1(k7_conlat_2(X152),X154) != u4_conlat_1(X152,X153)
| X154 = k8_conlat_2(X152,X153)
| ~ v6_conlat_1(X154,k7_conlat_2(X152))
| ~ l3_conlat_1(X154,k7_conlat_2(X152))
| ~ l3_conlat_1(X153,X152)
| v3_conlat_1(X152)
| ~ l2_conlat_1(X152) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])]) ).
fof(c_0_18,plain,
! [X150,X151] :
( ( v6_conlat_1(k8_conlat_2(X150,X151),k7_conlat_2(X150))
| v3_conlat_1(X150)
| ~ l2_conlat_1(X150)
| ~ l3_conlat_1(X151,X150) )
& ( l3_conlat_1(k8_conlat_2(X150,X151),k7_conlat_2(X150))
| v3_conlat_1(X150)
| ~ l2_conlat_1(X150)
| ~ l3_conlat_1(X151,X150) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])]) ).
fof(c_0_19,plain,
! [X135,X136] :
( v3_conlat_1(X135)
| ~ l2_conlat_1(X135)
| v7_conlat_1(X136,X135)
| ~ v9_conlat_1(X136,X135)
| ~ l3_conlat_1(X136,X135)
| k9_conlat_2(X135,X136) = k8_conlat_2(X135,X136) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])]) ).
cnf(c_0_20,plain,
( v3_conlat_1(X1)
| k7_conlat_2(k7_conlat_2(X1)) = X1
| ~ v4_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_21,negated_conjecture,
v4_conlat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_22,negated_conjecture,
l2_conlat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_23,negated_conjecture,
~ v3_conlat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_24,plain,
( l2_conlat_1(k7_conlat_2(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_25,plain,
! [X133,X134] :
( ( v6_conlat_1(k9_conlat_2(X133,X134),k7_conlat_2(X133))
| v3_conlat_1(X133)
| ~ l2_conlat_1(X133)
| v7_conlat_1(X134,X133)
| ~ v9_conlat_1(X134,X133)
| ~ l3_conlat_1(X134,X133) )
& ( ~ v7_conlat_1(k9_conlat_2(X133,X134),k7_conlat_2(X133))
| v3_conlat_1(X133)
| ~ l2_conlat_1(X133)
| v7_conlat_1(X134,X133)
| ~ v9_conlat_1(X134,X133)
| ~ l3_conlat_1(X134,X133) )
& ( v9_conlat_1(k9_conlat_2(X133,X134),k7_conlat_2(X133))
| v3_conlat_1(X133)
| ~ l2_conlat_1(X133)
| v7_conlat_1(X134,X133)
| ~ v9_conlat_1(X134,X133)
| ~ l3_conlat_1(X134,X133) )
& ( l3_conlat_1(k9_conlat_2(X133,X134),k7_conlat_2(X133))
| v3_conlat_1(X133)
| ~ l2_conlat_1(X133)
| v7_conlat_1(X134,X133)
| ~ v9_conlat_1(X134,X133)
| ~ l3_conlat_1(X134,X133) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])]) ).
cnf(c_0_26,plain,
( u5_conlat_1(k7_conlat_2(X1),X2) = u4_conlat_1(X1,X3)
| v3_conlat_1(X1)
| X2 != k8_conlat_2(X1,X3)
| ~ v6_conlat_1(X2,k7_conlat_2(X1))
| ~ l3_conlat_1(X2,k7_conlat_2(X1))
| ~ l3_conlat_1(X3,X1)
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_27,plain,
( l3_conlat_1(k8_conlat_2(X1,X2),k7_conlat_2(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1)
| ~ l3_conlat_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_28,plain,
( v6_conlat_1(k8_conlat_2(X1,X2),k7_conlat_2(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1)
| ~ l3_conlat_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_29,plain,
( v3_conlat_1(X1)
| v7_conlat_1(X2,X1)
| k9_conlat_2(X1,X2) = k8_conlat_2(X1,X2)
| ~ l2_conlat_1(X1)
| ~ v9_conlat_1(X2,X1)
| ~ l3_conlat_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_30,negated_conjecture,
v9_conlat_1(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_31,negated_conjecture,
l3_conlat_1(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_32,negated_conjecture,
~ v7_conlat_1(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_33,plain,
( u4_conlat_1(k7_conlat_2(X1),X2) = u5_conlat_1(X1,X3)
| v3_conlat_1(X1)
| X2 != k8_conlat_2(X1,X3)
| ~ v6_conlat_1(X2,k7_conlat_2(X1))
| ~ l3_conlat_1(X2,k7_conlat_2(X1))
| ~ l3_conlat_1(X3,X1)
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_34,plain,
( X2 = k8_conlat_2(X1,X3)
| v3_conlat_1(X1)
| u4_conlat_1(k7_conlat_2(X1),X2) != u5_conlat_1(X1,X3)
| u5_conlat_1(k7_conlat_2(X1),X2) != u4_conlat_1(X1,X3)
| ~ v6_conlat_1(X2,k7_conlat_2(X1))
| ~ l3_conlat_1(X2,k7_conlat_2(X1))
| ~ l3_conlat_1(X3,X1)
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_35,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_20,c_0_21]),c_0_22])]),c_0_23]) ).
cnf(c_0_36,negated_conjecture,
l2_conlat_1(k7_conlat_2(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_22]),c_0_23]) ).
cnf(c_0_37,plain,
( l3_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1))
| v3_conlat_1(X1)
| v7_conlat_1(X2,X1)
| ~ l2_conlat_1(X1)
| ~ v9_conlat_1(X2,X1)
| ~ l3_conlat_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_38,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_26]),c_0_27]),c_0_28]) ).
cnf(c_0_39,negated_conjecture,
k8_conlat_2(esk1_0,esk2_0) = k9_conlat_2(esk1_0,esk2_0),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]),c_0_22])]),c_0_32]),c_0_23]) ).
cnf(c_0_40,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_33]),c_0_27]),c_0_28]) ).
cnf(c_0_41,plain,
( v9_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1))
| v3_conlat_1(X1)
| v7_conlat_1(X2,X1)
| ~ l2_conlat_1(X1)
| ~ v9_conlat_1(X2,X1)
| ~ l3_conlat_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_42,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) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36])]) ).
cnf(c_0_43,negated_conjecture,
l3_conlat_1(k9_conlat_2(esk1_0,esk2_0),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(spm,[status(thm)],[c_0_37,c_0_30]),c_0_31]),c_0_22])]),c_0_32]),c_0_23]) ).
cnf(c_0_44,negated_conjecture,
u5_conlat_1(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0)) = u4_conlat_1(esk1_0,esk2_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_31]),c_0_39]),c_0_22])]),c_0_23]) ).
cnf(c_0_45,negated_conjecture,
u4_conlat_1(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0)) = u5_conlat_1(esk1_0,esk2_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_31]),c_0_39]),c_0_22])]),c_0_23]) ).
cnf(c_0_46,negated_conjecture,
v9_conlat_1(k9_conlat_2(esk1_0,esk2_0),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(spm,[status(thm)],[c_0_41,c_0_30]),c_0_31]),c_0_22])]),c_0_32]),c_0_23]) ).
cnf(c_0_47,negated_conjecture,
( X1 = k8_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0))
| v3_conlat_1(k7_conlat_2(esk1_0))
| u4_conlat_1(esk1_0,X1) != u4_conlat_1(esk1_0,esk2_0)
| u5_conlat_1(esk1_0,X1) != u5_conlat_1(esk1_0,esk2_0)
| ~ v6_conlat_1(X1,esk1_0)
| ~ l3_conlat_1(X1,esk1_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44]),c_0_45]) ).
cnf(c_0_48,negated_conjecture,
v6_conlat_1(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_49,negated_conjecture,
( k8_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0)) = k9_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0))
| v7_conlat_1(k9_conlat_2(esk1_0,esk2_0),k7_conlat_2(esk1_0))
| v3_conlat_1(k7_conlat_2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_46]),c_0_43]),c_0_36])]) ).
cnf(c_0_50,negated_conjecture,
( k8_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0)) = esk2_0
| v3_conlat_1(k7_conlat_2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_31])]) ).
cnf(c_0_51,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_14]) ).
cnf(c_0_52,plain,
( v3_conlat_1(X1)
| v7_conlat_1(X2,X1)
| ~ v7_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1))
| ~ l2_conlat_1(X1)
| ~ v9_conlat_1(X2,X1)
| ~ l3_conlat_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_53,negated_conjecture,
( v7_conlat_1(k9_conlat_2(esk1_0,esk2_0),k7_conlat_2(esk1_0))
| v3_conlat_1(k7_conlat_2(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51]) ).
cnf(c_0_54,plain,
( v3_conlat_1(X1)
| ~ v3_conlat_1(k7_conlat_2(X1))
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_55,negated_conjecture,
v3_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_52,c_0_53]),c_0_30]),c_0_31]),c_0_22])]),c_0_32]),c_0_23]) ).
cnf(c_0_56,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_22])]),c_0_23]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : LAT345+3 : TPTP v9.2.1. Released v3.4.0.
% 0.13/0.13 % 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
% 0.17/0.35 % Computer : n002.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Mon May 4 21:28:19 EDT 2026
% 0.17/0.35 % CPUTime :
% 0.20/0.36 % start to proof: theBenchmark
% 15.00/14.72 % Version : CSE_E---1.7
% 15.00/14.72 % Problem : theBenchmark.p
% 15.00/14.72 % SZS status Theorem for theBenchmark.p
% 15.00/14.72 % SZS output start CNFRefutation
% See solution above
% 15.00/14.72 % Total time : 14.298s
%------------------------------------------------------------------------------