TSTP Solution File: LAT345+4 by E-SAT---3.1.00
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%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : LAT345+4 : TPTP v8.2.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n029.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 : Mon May 20 23:27:08 EDT 2024
% Result : Theorem 5.22s 2.77s
% Output : CNFRefutation 5.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 50 ( 9 unt; 0 def)
% Number of atoms : 301 ( 46 equ)
% Maximal formula atoms : 24 ( 6 avg)
% Number of connectives : 401 ( 150 ~; 160 |; 69 &)
% ( 2 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 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 : 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(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(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(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(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] :
( ( ~ 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_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,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_11,plain,
! [X73,X74,X75] :
( ( u4_conlat_1(k7_conlat_2(X73),X75) = u5_conlat_1(X73,X74)
| X75 != k8_conlat_2(X73,X74)
| ~ v6_conlat_1(X75,k7_conlat_2(X73))
| ~ l3_conlat_1(X75,k7_conlat_2(X73))
| ~ l3_conlat_1(X74,X73)
| v3_conlat_1(X73)
| ~ l2_conlat_1(X73) )
& ( u5_conlat_1(k7_conlat_2(X73),X75) = u4_conlat_1(X73,X74)
| X75 != k8_conlat_2(X73,X74)
| ~ v6_conlat_1(X75,k7_conlat_2(X73))
| ~ l3_conlat_1(X75,k7_conlat_2(X73))
| ~ l3_conlat_1(X74,X73)
| v3_conlat_1(X73)
| ~ l2_conlat_1(X73) )
& ( u4_conlat_1(k7_conlat_2(X73),X75) != u5_conlat_1(X73,X74)
| u5_conlat_1(k7_conlat_2(X73),X75) != u4_conlat_1(X73,X74)
| X75 = k8_conlat_2(X73,X74)
| ~ v6_conlat_1(X75,k7_conlat_2(X73))
| ~ l3_conlat_1(X75,k7_conlat_2(X73))
| ~ l3_conlat_1(X74,X73)
| v3_conlat_1(X73)
| ~ l2_conlat_1(X73) ) ),
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_12,plain,
! [X59] :
( v3_conlat_1(X59)
| ~ v4_conlat_1(X59)
| ~ l2_conlat_1(X59)
| k7_conlat_2(k7_conlat_2(X59)) = X59 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])]) ).
fof(c_0_13,plain,
! [X58] :
( ( ~ v3_conlat_1(k7_conlat_2(X58))
| v3_conlat_1(X58)
| ~ l2_conlat_1(X58) )
& ( v4_conlat_1(k7_conlat_2(X58))
| v3_conlat_1(X58)
| ~ l2_conlat_1(X58) )
& ( l2_conlat_1(k7_conlat_2(X58))
| v3_conlat_1(X58)
| ~ l2_conlat_1(X58) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])]) ).
fof(c_0_14,plain,
! [X71,X72] :
( ( v6_conlat_1(k8_conlat_2(X71,X72),k7_conlat_2(X71))
| v3_conlat_1(X71)
| ~ l2_conlat_1(X71)
| ~ l3_conlat_1(X72,X71) )
& ( l3_conlat_1(k8_conlat_2(X71,X72),k7_conlat_2(X71))
| v3_conlat_1(X71)
| ~ l2_conlat_1(X71)
| ~ l3_conlat_1(X72,X71) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])]) ).
cnf(c_0_15,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_11]) ).
cnf(c_0_16,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_12]) ).
cnf(c_0_17,plain,
( l2_conlat_1(k7_conlat_2(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_18,plain,
( v3_conlat_1(X1)
| ~ v3_conlat_1(k7_conlat_2(X1))
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,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_11]) ).
cnf(c_0_20,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_14]) ).
cnf(c_0_21,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_14]) ).
cnf(c_0_22,plain,
( X1 = k8_conlat_2(k7_conlat_2(X2),X3)
| v3_conlat_1(X2)
| u4_conlat_1(X2,X1) != u5_conlat_1(k7_conlat_2(X2),X3)
| u5_conlat_1(X2,X1) != u4_conlat_1(k7_conlat_2(X2),X3)
| ~ v6_conlat_1(X1,X2)
| ~ l3_conlat_1(X3,k7_conlat_2(X2))
| ~ l3_conlat_1(X1,X2)
| ~ v4_conlat_1(X2)
| ~ l2_conlat_1(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]),c_0_18]) ).
cnf(c_0_23,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_19]),c_0_20]),c_0_21]) ).
cnf(c_0_24,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_11]) ).
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(X2,X1) != u4_conlat_1(k7_conlat_2(X2),k8_conlat_2(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(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_20]) ).
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_24]),c_0_20]),c_0_21]) ).
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,
! [X56,X57] :
( v3_conlat_1(X56)
| ~ l2_conlat_1(X56)
| v7_conlat_1(X57,X56)
| ~ v9_conlat_1(X57,X56)
| ~ l3_conlat_1(X57,X56)
| k9_conlat_2(X56,X57) = k8_conlat_2(X56,X57) ),
inference(fof_nnf,[status(thm)],[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,
! [X54,X55] :
( ( v6_conlat_1(k9_conlat_2(X54,X55),k7_conlat_2(X54))
| v3_conlat_1(X54)
| ~ l2_conlat_1(X54)
| v7_conlat_1(X55,X54)
| ~ v9_conlat_1(X55,X54)
| ~ l3_conlat_1(X55,X54) )
& ( ~ v7_conlat_1(k9_conlat_2(X54,X55),k7_conlat_2(X54))
| v3_conlat_1(X54)
| ~ l2_conlat_1(X54)
| v7_conlat_1(X55,X54)
| ~ v9_conlat_1(X55,X54)
| ~ l3_conlat_1(X55,X54) )
& ( v9_conlat_1(k9_conlat_2(X54,X55),k7_conlat_2(X54))
| v3_conlat_1(X54)
| ~ l2_conlat_1(X54)
| v7_conlat_1(X55,X54)
| ~ v9_conlat_1(X55,X54)
| ~ l3_conlat_1(X55,X54) )
& ( l3_conlat_1(k9_conlat_2(X54,X55),k7_conlat_2(X54))
| v3_conlat_1(X54)
| ~ l2_conlat_1(X54)
| v7_conlat_1(X55,X54)
| ~ v9_conlat_1(X55,X54)
| ~ l3_conlat_1(X55,X54) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[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(fof_nnf,[status(thm)],[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_17]),c_0_37]),c_0_38]),c_0_18]),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
% 0.03/0.12 % Problem : LAT345+4 : TPTP v8.2.0. Released v3.4.0.
% 0.03/0.13 % Command : run_E %s %d THM
% 0.14/0.34 % Computer : n029.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun May 19 21:08:46 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.20/0.47 Running first-order model finding
% 0.20/0.47 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.22/2.77 # Version: 3.1.0
% 5.22/2.77 # Preprocessing class: FMLLMLLLSSSNFFN.
% 5.22/2.77 # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 5.22/2.77 # Starting new_bool_3 with 897s (3) cores
% 5.22/2.77 # Starting new_bool_1 with 897s (3) cores
% 5.22/2.77 # Starting sh5l with 299s (1) cores
% 5.22/2.77 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 299s (1) cores
% 5.22/2.77 # G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with pid 23816 completed with status 0
% 5.22/2.77 # Result found by G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y
% 5.22/2.77 # Preprocessing class: FMLLMLLLSSSNFFN.
% 5.22/2.77 # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 5.22/2.77 # Starting new_bool_3 with 897s (3) cores
% 5.22/2.77 # Starting new_bool_1 with 897s (3) cores
% 5.22/2.77 # Starting sh5l with 299s (1) cores
% 5.22/2.77 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 299s (1) cores
% 5.22/2.77 # SinE strategy is gf120_h_gu_R02_F100_L20000
% 5.22/2.77 # Search class: FGHSM-FSLM32-MFFFFFNN
% 5.22/2.77 # Scheduled 12 strats onto 1 cores with 299 seconds (299 total)
% 5.22/2.77 # Starting G-E--_303_C18_F1_URBAN_S0Y with 25s (1) cores
% 5.22/2.77 # G-E--_303_C18_F1_URBAN_S0Y with pid 23823 completed with status 0
% 5.22/2.77 # Result found by G-E--_303_C18_F1_URBAN_S0Y
% 5.22/2.77 # Preprocessing class: FMLLMLLLSSSNFFN.
% 5.22/2.77 # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 5.22/2.77 # Starting new_bool_3 with 897s (3) cores
% 5.22/2.77 # Starting new_bool_1 with 897s (3) cores
% 5.22/2.77 # Starting sh5l with 299s (1) cores
% 5.22/2.77 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 299s (1) cores
% 5.22/2.77 # SinE strategy is gf120_h_gu_R02_F100_L20000
% 5.22/2.77 # Search class: FGHSM-FSLM32-MFFFFFNN
% 5.22/2.77 # Scheduled 12 strats onto 1 cores with 299 seconds (299 total)
% 5.22/2.77 # Starting G-E--_303_C18_F1_URBAN_S0Y with 25s (1) cores
% 5.22/2.77 # Preprocessing time : 0.013 s
% 5.22/2.77
% 5.22/2.77 # Proof found!
% 5.22/2.77 # SZS status Theorem
% 5.22/2.77 # SZS output start CNFRefutation
% See solution above
% 5.22/2.77 # Parsed axioms : 49825
% 5.22/2.77 # Removed by relevancy pruning/SinE : 49772
% 5.22/2.77 # Initial clauses : 124
% 5.22/2.77 # Removed in clause preprocessing : 4
% 5.22/2.77 # Initial clauses in saturation : 120
% 5.22/2.77 # Processed clauses : 286
% 5.22/2.77 # ...of these trivial : 0
% 5.22/2.77 # ...subsumed : 44
% 5.22/2.77 # ...remaining for further processing : 242
% 5.22/2.77 # Other redundant clauses eliminated : 6
% 5.22/2.77 # Clauses deleted for lack of memory : 0
% 5.22/2.77 # Backward-subsumed : 1
% 5.22/2.77 # Backward-rewritten : 0
% 5.22/2.77 # Generated clauses : 630
% 5.22/2.77 # ...of the previous two non-redundant : 594
% 5.22/2.77 # ...aggressively subsumed : 0
% 5.22/2.77 # Contextual simplify-reflections : 62
% 5.22/2.77 # Paramodulations : 615
% 5.22/2.77 # Factorizations : 0
% 5.22/2.77 # NegExts : 0
% 5.22/2.77 # Equation resolutions : 15
% 5.22/2.77 # Disequality decompositions : 0
% 5.22/2.77 # Total rewrite steps : 113
% 5.22/2.77 # ...of those cached : 86
% 5.22/2.77 # Propositional unsat checks : 0
% 5.22/2.77 # Propositional check models : 0
% 5.22/2.77 # Propositional check unsatisfiable : 0
% 5.22/2.77 # Propositional clauses : 0
% 5.22/2.77 # Propositional clauses after purity: 0
% 5.22/2.77 # Propositional unsat core size : 0
% 5.22/2.77 # Propositional preprocessing time : 0.000
% 5.22/2.77 # Propositional encoding time : 0.000
% 5.22/2.77 # Propositional solver time : 0.000
% 5.22/2.77 # Success case prop preproc time : 0.000
% 5.22/2.77 # Success case prop encoding time : 0.000
% 5.22/2.77 # Success case prop solver time : 0.000
% 5.22/2.77 # Current number of processed clauses : 241
% 5.22/2.77 # Positive orientable unit clauses : 20
% 5.22/2.77 # Positive unorientable unit clauses: 0
% 5.22/2.77 # Negative unit clauses : 5
% 5.22/2.77 # Non-unit-clauses : 216
% 5.22/2.77 # Current number of unprocessed clauses: 418
% 5.22/2.77 # ...number of literals in the above : 3688
% 5.22/2.77 # Current number of archived formulas : 0
% 5.22/2.77 # Current number of archived clauses : 1
% 5.22/2.77 # Clause-clause subsumption calls (NU) : 14241
% 5.22/2.77 # Rec. Clause-clause subsumption calls : 1278
% 5.22/2.77 # Non-unit clause-clause subsumptions : 107
% 5.22/2.77 # Unit Clause-clause subsumption calls : 10
% 5.22/2.77 # Rewrite failures with RHS unbound : 0
% 5.22/2.77 # BW rewrite match attempts : 0
% 5.22/2.77 # BW rewrite match successes : 0
% 5.22/2.77 # Condensation attempts : 0
% 5.22/2.77 # Condensation successes : 0
% 5.22/2.77 # Termbank termtop insertions : 1679651
% 5.22/2.77 # Search garbage collected termcells : 518062
% 5.22/2.77
% 5.22/2.77 # -------------------------------------------------
% 5.22/2.77 # User time : 0.514 s
% 5.22/2.77 # System time : 0.096 s
% 5.22/2.77 # Total time : 0.610 s
% 5.22/2.77 # Maximum resident set size: 99744 pages
% 5.22/2.77
% 5.22/2.77 # -------------------------------------------------
% 5.22/2.77 # User time : 2.051 s
% 5.22/2.77 # System time : 0.172 s
% 5.22/2.77 # Total time : 2.223 s
% 5.22/2.77 # Maximum resident set size: 79776 pages
% 5.22/2.77 % E---3.1 exiting
%------------------------------------------------------------------------------