%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LAT345+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 01:05:01 PM UTC 2026
% Result : Theorem 3.60s 1.74s
% Output : CNFRefutation 3.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 9
% Syntax : Number of formulae : 70 ( 17 unt; 0 def)
% Number of atoms : 317 ( 46 equ)
% Maximal formula atoms : 24 ( 4 avg)
% Number of connectives : 372 ( 125 ~; 145 |; 75 &)
% ( 2 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-3 aty)
% Number of variables : 75 ( 0 sgn 45 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',dt_k9_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/sandbox2/benchmark/theBenchmark.p',dt_k7_conlat_2) ).
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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',dt_k8_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/sandbox2/benchmark/theBenchmark.p',redefinition_k9_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/sandbox2/benchmark/theBenchmark.p',t17_conlat_2) ).
fof(abstractness_v6_conlat_1,axiom,
! [X1,X2] :
( ( l3_conlat_1(X2,X1)
& l1_conlat_1(X1) )
=> ( v6_conlat_1(X2,X1)
=> X2 = g3_conlat_1(X1,u4_conlat_1(X1,X2),u5_conlat_1(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+567.ax',abstractness_v6_conlat_1) ).
fof(dt_l2_conlat_1,axiom,
! [X1] :
( l2_conlat_1(X1)
=> l1_conlat_1(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+567.ax',dt_l2_conlat_1) ).
fof(c_0_9,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]) ).
fof(c_0_10,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_11,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_9]) ).
fof(c_0_12,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]) ).
fof(c_0_13,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_14,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_15,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]) ).
fof(c_0_16,plain,
! [X16,X17] :
( ( ~ l3_conlat_1(X17,X16)
| ~ v9_conlat_1(X17,X16)
| v7_conlat_1(X17,X16)
| ~ l2_conlat_1(X16)
| v3_conlat_1(X16)
| l3_conlat_1(k9_conlat_2(X16,X17),k7_conlat_2(X16)) )
& ( ~ l3_conlat_1(X17,X16)
| ~ v9_conlat_1(X17,X16)
| v7_conlat_1(X17,X16)
| ~ l2_conlat_1(X16)
| v3_conlat_1(X16)
| v9_conlat_1(k9_conlat_2(X16,X17),k7_conlat_2(X16)) )
& ( ~ l3_conlat_1(X17,X16)
| ~ v9_conlat_1(X17,X16)
| v7_conlat_1(X17,X16)
| ~ l2_conlat_1(X16)
| v3_conlat_1(X16)
| ~ v7_conlat_1(k9_conlat_2(X16,X17),k7_conlat_2(X16)) )
& ( ~ l3_conlat_1(X17,X16)
| ~ v9_conlat_1(X17,X16)
| v7_conlat_1(X17,X16)
| ~ l2_conlat_1(X16)
| v3_conlat_1(X16)
| v6_conlat_1(k9_conlat_2(X16,X17),k7_conlat_2(X16)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])]) ).
fof(c_0_17,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_11])])])]) ).
fof(c_0_18,plain,
! [X20] :
( ( ~ l2_conlat_1(X20)
| v3_conlat_1(X20)
| l2_conlat_1(k7_conlat_2(X20)) )
& ( ~ l2_conlat_1(X20)
| v3_conlat_1(X20)
| v4_conlat_1(k7_conlat_2(X20)) )
& ( ~ l2_conlat_1(X20)
| v3_conlat_1(X20)
| ~ v3_conlat_1(k7_conlat_2(X20)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])]) ).
fof(c_0_19,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]) ).
fof(c_0_20,plain,
! [X39,X40,X41] :
( ( ~ l2_conlat_1(X39)
| v3_conlat_1(X39)
| ~ l3_conlat_1(X40,X39)
| ~ l3_conlat_1(X41,k7_conlat_2(X39))
| ~ v6_conlat_1(X41,k7_conlat_2(X39))
| X41 = k8_conlat_2(X39,X40)
| u5_conlat_1(k7_conlat_2(X39),X41) != u4_conlat_1(X39,X40)
| u4_conlat_1(k7_conlat_2(X39),X41) != u5_conlat_1(X39,X40) )
& ( ~ l2_conlat_1(X39)
| v3_conlat_1(X39)
| ~ l3_conlat_1(X40,X39)
| ~ l3_conlat_1(X41,k7_conlat_2(X39))
| ~ v6_conlat_1(X41,k7_conlat_2(X39))
| X41 != k8_conlat_2(X39,X40)
| u5_conlat_1(k7_conlat_2(X39),X41) = u4_conlat_1(X39,X40) )
& ( ~ l2_conlat_1(X39)
| v3_conlat_1(X39)
| ~ l3_conlat_1(X40,X39)
| ~ l3_conlat_1(X41,k7_conlat_2(X39))
| ~ v6_conlat_1(X41,k7_conlat_2(X39))
| X41 != k8_conlat_2(X39,X40)
| u4_conlat_1(k7_conlat_2(X39),X41) = u5_conlat_1(X39,X40) ) ),
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_13])])])])]) ).
fof(c_0_21,plain,
! [X37,X38] :
( ( ~ l3_conlat_1(X38,X37)
| ~ l2_conlat_1(X37)
| v3_conlat_1(X37)
| l3_conlat_1(k8_conlat_2(X37,X38),k7_conlat_2(X37)) )
& ( ~ l3_conlat_1(X38,X37)
| ~ l2_conlat_1(X37)
| v3_conlat_1(X37)
| v6_conlat_1(k8_conlat_2(X37,X38),k7_conlat_2(X37)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])]) ).
fof(c_0_22,plain,
! [X18,X19] :
( k9_conlat_2(X18,X19) = k8_conlat_2(X18,X19)
| ~ l3_conlat_1(X19,X18)
| ~ v9_conlat_1(X19,X18)
| v7_conlat_1(X19,X18)
| ~ l2_conlat_1(X18)
| v3_conlat_1(X18) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])]) ).
cnf(c_0_23,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_16]) ).
cnf(c_0_24,negated_conjecture,
v9_conlat_1(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_25,negated_conjecture,
l3_conlat_1(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_26,negated_conjecture,
l2_conlat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_27,negated_conjecture,
~ v7_conlat_1(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_28,negated_conjecture,
~ v3_conlat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_29,plain,
( ~ l3_conlat_1(X2,X1)
| ~ v9_conlat_1(X2,X1)
| ~ l2_conlat_1(X1)
| v7_conlat_1(X2,X1)
| v3_conlat_1(X1)
| l3_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_30,plain,
( ~ l2_conlat_1(X1)
| v3_conlat_1(X1)
| l2_conlat_1(k7_conlat_2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_31,plain,
! [X21] :
( k7_conlat_2(k7_conlat_2(X21)) = X21
| ~ l2_conlat_1(X21)
| ~ v4_conlat_1(X21)
| v3_conlat_1(X21) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])]) ).
cnf(c_0_32,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_20]) ).
cnf(c_0_33,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_21]) ).
cnf(c_0_34,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_21]) ).
cnf(c_0_35,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_22]) ).
cnf(c_0_36,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_20]) ).
cnf(c_0_37,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_23,c_0_24]),c_0_25]),c_0_26])]),c_0_27]),c_0_28]) ).
cnf(c_0_38,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_29,c_0_24]),c_0_25]),c_0_26])]),c_0_27]),c_0_28]) ).
cnf(c_0_39,negated_conjecture,
l2_conlat_1(k7_conlat_2(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_26]),c_0_28]) ).
cnf(c_0_40,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_31]) ).
cnf(c_0_41,negated_conjecture,
v4_conlat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_42,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_32]),c_0_33]),c_0_34]) ).
cnf(c_0_43,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_35,c_0_24]),c_0_25]),c_0_26])]),c_0_27]),c_0_28]) ).
fof(c_0_44,plain,
! [X232,X233] :
( X233 = g3_conlat_1(X232,u4_conlat_1(X232,X233),u5_conlat_1(X232,X233))
| ~ v6_conlat_1(X233,X232)
| ~ l3_conlat_1(X233,X232)
| ~ l1_conlat_1(X232) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[abstractness_v6_conlat_1])])]) ).
cnf(c_0_45,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_36]),c_0_33]),c_0_34]) ).
cnf(c_0_46,negated_conjecture,
( v3_conlat_1(k7_conlat_2(esk1_0))
| v7_conlat_1(k9_conlat_2(esk1_0,esk2_0),k7_conlat_2(esk1_0))
| 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)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_37]),c_0_38]),c_0_39])]) ).
cnf(c_0_47,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_40,c_0_41]),c_0_26])]),c_0_28]) ).
cnf(c_0_48,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_42,c_0_25]),c_0_43]),c_0_26])]),c_0_28]) ).
cnf(c_0_49,plain,
( ~ l3_conlat_1(X2,X1)
| ~ v9_conlat_1(X2,X1)
| ~ l2_conlat_1(X1)
| v7_conlat_1(X2,X1)
| v3_conlat_1(X1)
| v6_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_50,plain,
( ~ v6_conlat_1(X2,X1)
| ~ l3_conlat_1(X2,X1)
| ~ l1_conlat_1(X1)
| X2 = g3_conlat_1(X1,u4_conlat_1(X1,X2),u5_conlat_1(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_51,negated_conjecture,
( v3_conlat_1(k7_conlat_2(esk1_0))
| v7_conlat_1(k9_conlat_2(esk1_0,esk2_0),k7_conlat_2(esk1_0))
| u5_conlat_1(esk1_0,k9_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0))) = u5_conlat_1(esk1_0,esk2_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_45,c_0_46]),c_0_47]),c_0_48]),c_0_38]),c_0_39])]) ).
cnf(c_0_52,negated_conjecture,
( v3_conlat_1(k7_conlat_2(esk1_0))
| l3_conlat_1(k9_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0)),esk1_0)
| v7_conlat_1(k9_conlat_2(esk1_0,esk2_0),k7_conlat_2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_37]),c_0_47]),c_0_38]),c_0_39])]) ).
cnf(c_0_53,negated_conjecture,
( v3_conlat_1(k7_conlat_2(esk1_0))
| v6_conlat_1(k9_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0)),esk1_0)
| v7_conlat_1(k9_conlat_2(esk1_0,esk2_0),k7_conlat_2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_37]),c_0_47]),c_0_38]),c_0_39])]) ).
fof(c_0_54,plain,
! [X222] :
( l1_conlat_1(X222)
| ~ l2_conlat_1(X222) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l2_conlat_1])])]) ).
cnf(c_0_55,negated_conjecture,
( ~ l1_conlat_1(esk1_0)
| v3_conlat_1(k7_conlat_2(esk1_0))
| v7_conlat_1(k9_conlat_2(esk1_0,esk2_0),k7_conlat_2(esk1_0))
| g3_conlat_1(esk1_0,u4_conlat_1(esk1_0,k9_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0))),u5_conlat_1(esk1_0,esk2_0)) = k9_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52]),c_0_53]) ).
cnf(c_0_56,plain,
( ~ l2_conlat_1(X1)
| l1_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_57,negated_conjecture,
( v3_conlat_1(k7_conlat_2(esk1_0))
| v7_conlat_1(k9_conlat_2(esk1_0,esk2_0),k7_conlat_2(esk1_0))
| u4_conlat_1(esk1_0,k9_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0))) = u5_conlat_1(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_46]),c_0_47]),c_0_38]),c_0_39])]) ).
cnf(c_0_58,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_45,c_0_25]),c_0_43]),c_0_26])]),c_0_28]) ).
cnf(c_0_59,negated_conjecture,
( v3_conlat_1(k7_conlat_2(esk1_0))
| v7_conlat_1(k9_conlat_2(esk1_0,esk2_0),k7_conlat_2(esk1_0))
| g3_conlat_1(esk1_0,u4_conlat_1(esk1_0,k9_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0))),u5_conlat_1(esk1_0,esk2_0)) = k9_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_26])]) ).
cnf(c_0_60,negated_conjecture,
( v3_conlat_1(k7_conlat_2(esk1_0))
| v7_conlat_1(k9_conlat_2(esk1_0,esk2_0),k7_conlat_2(esk1_0))
| u4_conlat_1(esk1_0,k9_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0))) = u4_conlat_1(esk1_0,esk2_0) ),
inference(rw,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_61,negated_conjecture,
( v3_conlat_1(k7_conlat_2(esk1_0))
| v7_conlat_1(k9_conlat_2(esk1_0,esk2_0),k7_conlat_2(esk1_0))
| g3_conlat_1(esk1_0,u4_conlat_1(esk1_0,esk2_0),u5_conlat_1(esk1_0,esk2_0)) = k9_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_62,negated_conjecture,
v6_conlat_1(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_63,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_17]) ).
cnf(c_0_64,negated_conjecture,
( ~ l1_conlat_1(esk1_0)
| v3_conlat_1(k7_conlat_2(esk1_0))
| v7_conlat_1(k9_conlat_2(esk1_0,esk2_0),k7_conlat_2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_61]),c_0_62]),c_0_25])]),c_0_63]) ).
cnf(c_0_65,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_16]) ).
cnf(c_0_66,negated_conjecture,
( v3_conlat_1(k7_conlat_2(esk1_0))
| v7_conlat_1(k9_conlat_2(esk1_0,esk2_0),k7_conlat_2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_56]),c_0_26])]) ).
cnf(c_0_67,plain,
( ~ l2_conlat_1(X1)
| ~ v3_conlat_1(k7_conlat_2(X1))
| v3_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_68,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_65,c_0_66]),c_0_24]),c_0_25]),c_0_26])]),c_0_27]),c_0_28]) ).
cnf(c_0_69,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_26])]),c_0_28]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LAT345+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.19/0.46 % Computer : n003.cluster.edu
% 0.19/0.46 % Model : x86_64 x86_64
% 0.19/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.46 % Memory : 8046.5625MB
% 0.19/0.46 % OS : Linux 6.8.0-71-generic
% 0.19/0.46 % CPULimit : 300
% 0.19/0.46 % WCLimit : 300
% 0.19/0.46 % DateTime : Sun Sep 20 23:46:00 UTC 2026
% 0.19/0.47 % CPUTime :
% 0.19/0.47 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.53 Running first-order theorem proving
% 0.23/0.53 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 3.60/1.74 % Version: 3.5.1
% 3.60/1.74 % Preprocessing class: FMLLSMLLSSSNFFN.
% 3.60/1.74 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.60/1.74 % Starting new_bool_3 with 900s (3) cores
% 3.60/1.74 % Starting new_bool_1 with 900s (3) cores
% 3.60/1.74 % Starting sh5l with 300s (1) cores
% 3.60/1.74 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 3.60/1.74 % new_bool_1 with pid 2902700 completed with status 0
% 3.60/1.74 % Result found by new_bool_1
% 3.60/1.74 % Preprocessing class: FMLLSMLLSSSNFFN.
% 3.60/1.74 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.60/1.74 % Starting new_bool_3 with 900s (3) cores
% 3.60/1.74 % Starting new_bool_1 with 900s (3) cores
% 3.60/1.74 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 3.60/1.74 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 3.60/1.74 % Search class: FGHSM-FSLM31-MFFFFFNN
% 3.60/1.74 % Scheduled 8 strats onto 3 cores with 900 seconds (900 total)
% 3.60/1.74 % Starting SubtermCWHack with 82s (1) cores
% 3.60/1.74 % Starting new_bool_1 with 91s (1) cores
% 3.60/1.74 % Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with 82s (1) cores
% 3.60/1.74 % G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with pid 2902706 completed with status 0
% 3.60/1.74 % Result found by G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN
% 3.60/1.74 % Preprocessing class: FMLLSMLLSSSNFFN.
% 3.60/1.74 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.60/1.74 % Starting new_bool_3 with 900s (3) cores
% 3.60/1.74 % Starting new_bool_1 with 900s (3) cores
% 3.60/1.74 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 3.60/1.74 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 3.60/1.74 % Search class: FGHSM-FSLM31-MFFFFFNN
% 3.60/1.74 % Scheduled 8 strats onto 3 cores with 900 seconds (900 total)
% 3.60/1.74 % Starting SubtermCWHack with 82s (1) cores
% 3.60/1.74 % Starting new_bool_1 with 91s (1) cores
% 3.60/1.74 % Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with 82s (1) cores
% 3.60/1.74 % Preprocessing time : 0.039 s
% 3.60/1.74 % Presaturation interreduction done
% 3.60/1.74
% 3.60/1.74 % Proof found!
% 3.60/1.74 % SZS status Theorem
% 3.60/1.74 % SZS output start CNFRefutation
% See solution above
% 3.60/1.74 % Parsed axioms : 5497
% 3.60/1.74 % Removed by relevancy pruning/SinE : 5247
% 3.60/1.74 % Initial clauses : 523
% 3.60/1.74 % Removed in clause preprocessing : 26
% 3.60/1.74 % Initial clauses in saturation : 497
% 3.60/1.74 % Processed clauses : 3987
% 3.60/1.74 % ...of these trivial : 27
% 3.60/1.74 % ...subsumed : 2008
% 3.60/1.74 % ...remaining for further processing : 1952
% 3.60/1.74 % Other redundant clauses eliminated : 111
% 3.60/1.74 % Clauses deleted for lack of memory : 0
% 3.60/1.74 % Backward-subsumed : 95
% 3.60/1.74 % Backward-rewritten : 194
% 3.60/1.74 % Generated clauses : 14331
% 3.60/1.74 % ...of the previous two non-redundant : 12063
% 3.60/1.74 % ...aggressively subsumed : 0
% 3.60/1.74 % Contextual simplify-reflections : 83
% 3.60/1.74 % Paramodulations : 14187
% 3.60/1.74 % Factorizations : 32
% 3.60/1.74 % NegExts : 0
% 3.60/1.74 % Equation resolutions : 115
% 3.60/1.74 % Disequality decompositions : 0
% 3.60/1.74 % Total rewrite steps : 6621
% 3.60/1.74 % ...of those cached : 6315
% 3.60/1.74 % Propositional unsat checks : 0
% 3.60/1.74 % Propositional check models : 0
% 3.60/1.74 % Propositional check unsatisfiable : 0
% 3.60/1.74 % Propositional clauses : 0
% 3.60/1.74 % Propositional clauses after purity: 0
% 3.60/1.74 % Propositional unsat core size : 0
% 3.60/1.74 % Propositional preprocessing time : 0.000
% 3.60/1.74 % Propositional encoding time : 0.000
% 3.60/1.74 % Propositional solver time : 0.000
% 3.60/1.74 % Success case prop preproc time : 0.000
% 3.60/1.74 % Success case prop encoding time : 0.000
% 3.60/1.74 % Success case prop solver time : 0.000
% 3.60/1.74 % Current number of processed clauses : 1163
% 3.60/1.74 % Positive orientable unit clauses : 166
% 3.60/1.74 % Positive unorientable unit clauses: 0
% 3.60/1.74 % Negative unit clauses : 90
% 3.60/1.74 % Non-unit-clauses : 907
% 3.60/1.74 % Current number of unprocessed clauses: 8965
% 3.60/1.74 % ...number of literals in the above : 38903
% 3.60/1.74 % Current number of archived formulas : 0
% 3.60/1.74 % Current number of archived clauses : 749
% 3.60/1.74 % Clause-clause subsumption calls (NU) : 423185
% 3.60/1.74 % Rec. Clause-clause subsumption calls : 166428
% 3.60/1.74 % Non-unit clause-clause subsumptions : 1082
% 3.60/1.74 % Unit Clause-clause subsumption calls : 16569
% 3.60/1.74 % Rewrite failures with RHS unbound : 0
% 3.60/1.74 % BW rewrite match attempts : 34
% 3.60/1.74 % BW rewrite match successes : 24
% 3.60/1.74 % Condensation attempts : 0
% 3.60/1.74 % Condensation successes : 0
% 3.60/1.74 % Termbank termtop insertions : 370537
% 3.60/1.74 % Search garbage collected termcells : 50450
% 3.60/1.74
% 3.60/1.74 % -------------------------------------------------
% 3.60/1.74 % User time : 0.869 s
% 3.60/1.74 % System time : 0.060 s
% 3.60/1.74 % Total time : 0.929 s
% 3.60/1.74 % Maximum resident set size: 13204 pages
% 3.60/1.74
% 3.60/1.74 % -------------------------------------------------
% 3.60/1.74 % User time : 2.317 s
% 3.60/1.74 % System time : 0.140 s
% 3.60/1.74 % Total time : 2.457 s
% 3.60/1.74 % Maximum resident set size: 11776 pages
% 3.60/1.74 % E exiting
%------------------------------------------------------------------------------