%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LAT345+4 : TPTP v9.2.1. Released v3.4.0.
% 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 : n001.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 04:38:14 PM UTC 2026
% Result : Theorem 174.32s 171.77s
% Output : CNFRefutation 174.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 50 ( 9 unt; 0 def)
% Number of atoms : 299 ( 46 equ)
% Maximal formula atoms : 24 ( 5 avg)
% Number of connectives : 397 ( 148 ~; 158 |; 69 &)
% ( 2 <=>; 20 =>; 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 : 80 ( 0 sgn 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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/sandbox2/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/sandbox2/benchmark/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/sandbox2/benchmark/theBenchmark.p',dt_k7_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/sandbox2/benchmark/theBenchmark.p',t17_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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',dt_k9_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/sandbox2/benchmark/theBenchmark.p',t20_conlat_2) ).
fof(c_0_7,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_8,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_9,plain,
! [X218,X219,X220] :
( ( u4_conlat_1(k7_conlat_2(X218),X220) = u5_conlat_1(X218,X219)
| X220 != k8_conlat_2(X218,X219)
| ~ v6_conlat_1(X220,k7_conlat_2(X218))
| ~ l3_conlat_1(X220,k7_conlat_2(X218))
| ~ l3_conlat_1(X219,X218)
| v3_conlat_1(X218)
| ~ l2_conlat_1(X218) )
& ( u5_conlat_1(k7_conlat_2(X218),X220) = u4_conlat_1(X218,X219)
| X220 != k8_conlat_2(X218,X219)
| ~ v6_conlat_1(X220,k7_conlat_2(X218))
| ~ l3_conlat_1(X220,k7_conlat_2(X218))
| ~ l3_conlat_1(X219,X218)
| v3_conlat_1(X218)
| ~ l2_conlat_1(X218) )
& ( u4_conlat_1(k7_conlat_2(X218),X220) != u5_conlat_1(X218,X219)
| u5_conlat_1(k7_conlat_2(X218),X220) != u4_conlat_1(X218,X219)
| X220 = k8_conlat_2(X218,X219)
| ~ v6_conlat_1(X220,k7_conlat_2(X218))
| ~ l3_conlat_1(X220,k7_conlat_2(X218))
| ~ l3_conlat_1(X219,X218)
| v3_conlat_1(X218)
| ~ l2_conlat_1(X218) ) ),
inference(distribute,[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,
! [X216,X217] :
( ( v6_conlat_1(k8_conlat_2(X216,X217),k7_conlat_2(X216))
| v3_conlat_1(X216)
| ~ l2_conlat_1(X216)
| ~ l3_conlat_1(X217,X216) )
& ( l3_conlat_1(k8_conlat_2(X216,X217),k7_conlat_2(X216))
| v3_conlat_1(X216)
| ~ l2_conlat_1(X216)
| ~ l3_conlat_1(X217,X216) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])]) ).
fof(c_0_11,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]) ).
cnf(c_0_12,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_9]) ).
cnf(c_0_13,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_10]) ).
cnf(c_0_14,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_10]) ).
fof(c_0_15,plain,
! [X203] :
( ( ~ v3_conlat_1(k7_conlat_2(X203))
| v3_conlat_1(X203)
| ~ l2_conlat_1(X203) )
& ( v4_conlat_1(k7_conlat_2(X203))
| v3_conlat_1(X203)
| ~ l2_conlat_1(X203) )
& ( l2_conlat_1(k7_conlat_2(X203))
| v3_conlat_1(X203)
| ~ l2_conlat_1(X203) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])]) ).
cnf(c_0_16,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_9]) ).
cnf(c_0_17,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_12]),c_0_13]),c_0_14]) ).
cnf(c_0_18,plain,
( l2_conlat_1(k7_conlat_2(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_19,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_20,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_9]) ).
fof(c_0_21,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]) ).
cnf(c_0_22,plain,
( X1 = k8_conlat_2(k7_conlat_2(X2),k8_conlat_2(X2,X3))
| v3_conlat_1(X2)
| u5_conlat_1(k7_conlat_2(k7_conlat_2(X2)),X1) != u4_conlat_1(k7_conlat_2(X2),k8_conlat_2(X2,X3))
| u4_conlat_1(k7_conlat_2(k7_conlat_2(X2)),X1) != u4_conlat_1(X2,X3)
| ~ v6_conlat_1(X1,k7_conlat_2(k7_conlat_2(X2)))
| ~ l3_conlat_1(X1,k7_conlat_2(k7_conlat_2(X2)))
| ~ l3_conlat_1(X3,X2)
| ~ l2_conlat_1(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),c_0_13]),c_0_19]) ).
cnf(c_0_23,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_20]),c_0_13]),c_0_14]) ).
fof(c_0_24,plain,
! [X204] :
( v3_conlat_1(X204)
| ~ v4_conlat_1(X204)
| ~ l2_conlat_1(X204)
| k7_conlat_2(k7_conlat_2(X204)) = X204 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])]) ).
cnf(c_0_25,plain,
( X1 = k8_conlat_2(k7_conlat_2(X2),k8_conlat_2(X2,X3))
| v3_conlat_1(X2)
| u5_conlat_1(k7_conlat_2(k7_conlat_2(X2)),X1) != u5_conlat_1(X2,X3)
| u4_conlat_1(k7_conlat_2(k7_conlat_2(X2)),X1) != u4_conlat_1(X2,X3)
| ~ v6_conlat_1(X1,k7_conlat_2(k7_conlat_2(X2)))
| ~ l3_conlat_1(X1,k7_conlat_2(k7_conlat_2(X2)))
| ~ l3_conlat_1(X3,X2)
| ~ l2_conlat_1(X2) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_26,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_24]) ).
fof(c_0_27,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]) ).
cnf(c_0_28,plain,
( X1 = k8_conlat_2(k7_conlat_2(X2),k8_conlat_2(X2,X3))
| v3_conlat_1(X2)
| u5_conlat_1(X2,X1) != u5_conlat_1(X2,X3)
| u4_conlat_1(X2,X1) != u4_conlat_1(X2,X3)
| ~ v6_conlat_1(X1,X2)
| ~ l3_conlat_1(X1,X2)
| ~ l3_conlat_1(X3,X2)
| ~ v4_conlat_1(X2)
| ~ l2_conlat_1(X2) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
fof(c_0_29,plain,
! [X201,X202] :
( v3_conlat_1(X201)
| ~ l2_conlat_1(X201)
| v7_conlat_1(X202,X201)
| ~ v9_conlat_1(X202,X201)
| ~ l3_conlat_1(X202,X201)
| k9_conlat_2(X201,X202) = k8_conlat_2(X201,X202) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])]) ).
fof(c_0_30,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_31,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])]) ).
cnf(c_0_32,plain,
( k8_conlat_2(k7_conlat_2(X1),k8_conlat_2(X1,X2)) = X2
| v3_conlat_1(X1)
| ~ v6_conlat_1(X2,X1)
| ~ l3_conlat_1(X2,X1)
| ~ v4_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(er,[status(thm)],[c_0_28]) ).
cnf(c_0_33,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_29]) ).
fof(c_0_34,plain,
! [X199,X200] :
( ( v6_conlat_1(k9_conlat_2(X199,X200),k7_conlat_2(X199))
| v3_conlat_1(X199)
| ~ l2_conlat_1(X199)
| v7_conlat_1(X200,X199)
| ~ v9_conlat_1(X200,X199)
| ~ l3_conlat_1(X200,X199) )
& ( ~ v7_conlat_1(k9_conlat_2(X199,X200),k7_conlat_2(X199))
| v3_conlat_1(X199)
| ~ l2_conlat_1(X199)
| v7_conlat_1(X200,X199)
| ~ v9_conlat_1(X200,X199)
| ~ l3_conlat_1(X200,X199) )
& ( v9_conlat_1(k9_conlat_2(X199,X200),k7_conlat_2(X199))
| v3_conlat_1(X199)
| ~ l2_conlat_1(X199)
| v7_conlat_1(X200,X199)
| ~ v9_conlat_1(X200,X199)
| ~ l3_conlat_1(X200,X199) )
& ( l3_conlat_1(k9_conlat_2(X199,X200),k7_conlat_2(X199))
| v3_conlat_1(X199)
| ~ l2_conlat_1(X199)
| v7_conlat_1(X200,X199)
| ~ v9_conlat_1(X200,X199)
| ~ l3_conlat_1(X200,X199) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])]) ).
fof(c_0_35,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_31])])]) ).
cnf(c_0_36,plain,
( k8_conlat_2(k7_conlat_2(X1),k9_conlat_2(X1,X2)) = X2
| v7_conlat_1(X2,X1)
| v3_conlat_1(X1)
| ~ v9_conlat_1(X2,X1)
| ~ v6_conlat_1(X2,X1)
| ~ l3_conlat_1(X2,X1)
| ~ v4_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
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_34]) ).
cnf(c_0_38,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_34]) ).
cnf(c_0_39,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_34]) ).
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_35]) ).
cnf(c_0_41,plain,
( k9_conlat_2(k7_conlat_2(X1),k9_conlat_2(X1,X2)) = X2
| v7_conlat_1(X2,X1)
| v3_conlat_1(X1)
| ~ v9_conlat_1(X2,X1)
| ~ v6_conlat_1(X2,X1)
| ~ l3_conlat_1(X2,X1)
| ~ v4_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_36]),c_0_18]),c_0_37]),c_0_38]),c_0_19]),c_0_39]) ).
cnf(c_0_42,negated_conjecture,
v9_conlat_1(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_43,negated_conjecture,
v6_conlat_1(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_44,negated_conjecture,
l3_conlat_1(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_45,negated_conjecture,
v4_conlat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_46,negated_conjecture,
l2_conlat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_47,negated_conjecture,
~ v7_conlat_1(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_48,negated_conjecture,
~ v3_conlat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_49,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_40,c_0_41]),c_0_42]),c_0_43]),c_0_44]),c_0_45]),c_0_46])]),c_0_47]),c_0_48]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : LAT345+4 : TPTP v9.2.1. Released v3.4.0.
% 0.12/0.13 % 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
% 0.18/0.34 % Computer : n001.cluster.edu
% 0.18/0.34 % Model : x86_64 x86_64
% 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.34 % Memory : 8042.1875MB
% 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.34 % CPULimit : 300
% 0.18/0.34 % WCLimit : 300
% 0.18/0.35 % DateTime : Mon May 4 21:29:11 EDT 2026
% 0.18/0.35 % CPUTime :
% 0.20/0.36 % start to proof: theBenchmark
% 174.32/171.77 % Version : CSE_E---1.7
% 174.32/171.77 % Problem : theBenchmark.p
% 174.32/171.77 % SZS status Theorem for theBenchmark.p
% 174.32/171.77 % SZS output start CNFRefutation
% See solution above
% 174.32/171.78 % Total time : 170.824s
%------------------------------------------------------------------------------