TSTP Solution File: LAT345+3 by E-SAT---3.1.00
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%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : LAT345+3 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n016.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 : Sat May 4 08:17:02 EDT 2024
% Result : Theorem 4.60s 3.69s
% Output : CNFRefutation 4.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 53 ( 17 unt; 0 def)
% Number of atoms : 263 ( 48 equ)
% Maximal formula atoms : 24 ( 4 avg)
% Number of connectives : 332 ( 122 ~; 128 |; 62 &)
% ( 2 <=>; 18 =>; 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 : 59 ( 0 sgn 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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/tmp/tmp.hwRUPT7x0w/E---3.1_15971.p',redefinition_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/tmp/tmp.hwRUPT7x0w/E---3.1_15971.p',t20_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/sandbox2/tmp/tmp.hwRUPT7x0w/E---3.1_15971.p',d8_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/tmp/tmp.hwRUPT7x0w/E---3.1_15971.p',dt_k9_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/tmp/tmp.hwRUPT7x0w/E---3.1_15971.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/tmp/tmp.hwRUPT7x0w/E---3.1_15971.p',dt_k7_conlat_2) ).
fof(c_0_6,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_7,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_8,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_9,plain,
! [X19,X20] :
( v3_conlat_1(X19)
| ~ l2_conlat_1(X19)
| v7_conlat_1(X20,X19)
| ~ v9_conlat_1(X20,X19)
| ~ l3_conlat_1(X20,X19)
| k9_conlat_2(X19,X20) = k8_conlat_2(X19,X20) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).
fof(c_0_10,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_7])])])]) ).
fof(c_0_11,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_12,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_13,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_14,plain,
! [X36,X37,X38] :
( ( u4_conlat_1(k7_conlat_2(X36),X38) = u5_conlat_1(X36,X37)
| X38 != k8_conlat_2(X36,X37)
| ~ v6_conlat_1(X38,k7_conlat_2(X36))
| ~ l3_conlat_1(X38,k7_conlat_2(X36))
| ~ l3_conlat_1(X37,X36)
| v3_conlat_1(X36)
| ~ l2_conlat_1(X36) )
& ( u5_conlat_1(k7_conlat_2(X36),X38) = u4_conlat_1(X36,X37)
| X38 != k8_conlat_2(X36,X37)
| ~ v6_conlat_1(X38,k7_conlat_2(X36))
| ~ l3_conlat_1(X38,k7_conlat_2(X36))
| ~ l3_conlat_1(X37,X36)
| v3_conlat_1(X36)
| ~ l2_conlat_1(X36) )
& ( u4_conlat_1(k7_conlat_2(X36),X38) != u5_conlat_1(X36,X37)
| u5_conlat_1(k7_conlat_2(X36),X38) != u4_conlat_1(X36,X37)
| X38 = k8_conlat_2(X36,X37)
| ~ v6_conlat_1(X38,k7_conlat_2(X36))
| ~ l3_conlat_1(X38,k7_conlat_2(X36))
| ~ l3_conlat_1(X37,X36)
| v3_conlat_1(X36)
| ~ l2_conlat_1(X36) ) ),
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_8])])])])]) ).
cnf(c_0_15,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_9]) ).
cnf(c_0_16,negated_conjecture,
v9_conlat_1(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_17,negated_conjecture,
l3_conlat_1(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_18,negated_conjecture,
l2_conlat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_19,negated_conjecture,
~ v7_conlat_1(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_20,negated_conjecture,
~ v3_conlat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_21,plain,
! [X17,X18] :
( ( v6_conlat_1(k9_conlat_2(X17,X18),k7_conlat_2(X17))
| v3_conlat_1(X17)
| ~ l2_conlat_1(X17)
| v7_conlat_1(X18,X17)
| ~ v9_conlat_1(X18,X17)
| ~ l3_conlat_1(X18,X17) )
& ( ~ v7_conlat_1(k9_conlat_2(X17,X18),k7_conlat_2(X17))
| v3_conlat_1(X17)
| ~ l2_conlat_1(X17)
| v7_conlat_1(X18,X17)
| ~ v9_conlat_1(X18,X17)
| ~ l3_conlat_1(X18,X17) )
& ( v9_conlat_1(k9_conlat_2(X17,X18),k7_conlat_2(X17))
| v3_conlat_1(X17)
| ~ l2_conlat_1(X17)
| v7_conlat_1(X18,X17)
| ~ v9_conlat_1(X18,X17)
| ~ l3_conlat_1(X18,X17) )
& ( l3_conlat_1(k9_conlat_2(X17,X18),k7_conlat_2(X17))
| v3_conlat_1(X17)
| ~ l2_conlat_1(X17)
| v7_conlat_1(X18,X17)
| ~ v9_conlat_1(X18,X17)
| ~ l3_conlat_1(X18,X17) ) ),
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_22,plain,
! [X22] :
( v3_conlat_1(X22)
| ~ v4_conlat_1(X22)
| ~ l2_conlat_1(X22)
| k7_conlat_2(k7_conlat_2(X22)) = X22 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])]) ).
fof(c_0_23,plain,
! [X21] :
( ( ~ v3_conlat_1(k7_conlat_2(X21))
| v3_conlat_1(X21)
| ~ l2_conlat_1(X21) )
& ( v4_conlat_1(k7_conlat_2(X21))
| v3_conlat_1(X21)
| ~ l2_conlat_1(X21) )
& ( l2_conlat_1(k7_conlat_2(X21))
| v3_conlat_1(X21)
| ~ l2_conlat_1(X21) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])]) ).
cnf(c_0_24,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_14]) ).
cnf(c_0_25,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_15,c_0_16]),c_0_17]),c_0_18])]),c_0_19]),c_0_20]) ).
cnf(c_0_26,plain,
( v6_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_21]) ).
cnf(c_0_27,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_21]) ).
cnf(c_0_28,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_14]) ).
cnf(c_0_29,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_21]) ).
cnf(c_0_30,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_14]) ).
cnf(c_0_31,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_22]) ).
cnf(c_0_32,plain,
( l2_conlat_1(k7_conlat_2(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_33,plain,
( v3_conlat_1(X1)
| ~ v3_conlat_1(k7_conlat_2(X1))
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_34,negated_conjecture,
( u5_conlat_1(k7_conlat_2(esk1_0),X1) = u4_conlat_1(esk1_0,esk2_0)
| X1 != k9_conlat_2(esk1_0,esk2_0)
| ~ v6_conlat_1(X1,k7_conlat_2(esk1_0))
| ~ l3_conlat_1(X1,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_24,c_0_25]),c_0_17]),c_0_18])]),c_0_20]) ).
cnf(c_0_35,negated_conjecture,
v6_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_26,c_0_16]),c_0_17]),c_0_18])]),c_0_19]),c_0_20]) ).
cnf(c_0_36,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_27,c_0_16]),c_0_17]),c_0_18])]),c_0_19]),c_0_20]) ).
cnf(c_0_37,negated_conjecture,
( u4_conlat_1(k7_conlat_2(esk1_0),X1) = u5_conlat_1(esk1_0,esk2_0)
| X1 != k9_conlat_2(esk1_0,esk2_0)
| ~ v6_conlat_1(X1,k7_conlat_2(esk1_0))
| ~ l3_conlat_1(X1,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_28,c_0_25]),c_0_17]),c_0_18])]),c_0_20]) ).
cnf(c_0_38,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_29,c_0_17]),c_0_16]),c_0_18])]),c_0_19]),c_0_20]) ).
cnf(c_0_39,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_30,c_0_31]),c_0_32]),c_0_33]) ).
cnf(c_0_40,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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_34]),c_0_35]),c_0_36])]) ).
cnf(c_0_41,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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_37]),c_0_35]),c_0_36])]) ).
cnf(c_0_42,negated_conjecture,
v4_conlat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_43,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))
| ~ l2_conlat_1(k7_conlat_2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_38]),c_0_36])]) ).
cnf(c_0_44,negated_conjecture,
( X1 = k8_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_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(sr,[status(thm)],[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_39,c_0_36]),c_0_40]),c_0_41]),c_0_42]),c_0_18])]),c_0_20]) ).
cnf(c_0_45,negated_conjecture,
v6_conlat_1(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_46,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(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_32]),c_0_18])]),c_0_20]) ).
cnf(c_0_47,negated_conjecture,
k8_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0)) = esk2_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_17])]) ).
cnf(c_0_48,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_10]) ).
cnf(c_0_49,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_21]) ).
cnf(c_0_50,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_46,c_0_47]),c_0_48]) ).
cnf(c_0_51,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_49,c_0_50]),c_0_16]),c_0_17]),c_0_18])]),c_0_19]),c_0_20]) ).
cnf(c_0_52,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_51]),c_0_18])]),c_0_20]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : LAT345+3 : TPTP v8.1.2. Released v3.4.0.
% 0.02/0.11 % Command : run_E %s %d THM
% 0.10/0.31 % Computer : n016.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Fri May 3 09:00:02 EDT 2024
% 0.10/0.31 % CPUTime :
% 2.35/2.55 Running first-order model finding
% 2.35/2.55 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/tmp/tmp.hwRUPT7x0w/E---3.1_15971.p
% 4.60/3.69 # Version: 3.1.0
% 4.60/3.69 # Preprocessing class: FMLLSMLLSSSNFFN.
% 4.60/3.69 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.60/3.69 # Starting new_bool_3 with 900s (3) cores
% 4.60/3.69 # Starting new_bool_1 with 900s (3) cores
% 4.60/3.69 # Starting sh5l with 300s (1) cores
% 4.60/3.69 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 4.60/3.69 # G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with pid 16051 completed with status 0
% 4.60/3.69 # Result found by G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y
% 4.60/3.69 # Preprocessing class: FMLLSMLLSSSNFFN.
% 4.60/3.69 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.60/3.69 # Starting new_bool_3 with 900s (3) cores
% 4.60/3.69 # Starting new_bool_1 with 900s (3) cores
% 4.60/3.69 # Starting sh5l with 300s (1) cores
% 4.60/3.69 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 4.60/3.69 # SinE strategy is gf120_gu_R02_F100_L20000
% 4.60/3.69 # Search class: FGHSS-FFMM31-MFFFFFNN
% 4.60/3.69 # partial match(1): FGHSM-FFMM31-MFFFFFNN
% 4.60/3.69 # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 4.60/3.69 # Starting G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S with 23s (1) cores
% 4.60/3.69 # G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S with pid 16058 completed with status 0
% 4.60/3.69 # Result found by G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S
% 4.60/3.69 # Preprocessing class: FMLLSMLLSSSNFFN.
% 4.60/3.69 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.60/3.69 # Starting new_bool_3 with 900s (3) cores
% 4.60/3.69 # Starting new_bool_1 with 900s (3) cores
% 4.60/3.69 # Starting sh5l with 300s (1) cores
% 4.60/3.69 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 4.60/3.69 # SinE strategy is gf120_gu_R02_F100_L20000
% 4.60/3.69 # Search class: FGHSS-FFMM31-MFFFFFNN
% 4.60/3.69 # partial match(1): FGHSM-FFMM31-MFFFFFNN
% 4.60/3.69 # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 4.60/3.69 # Starting G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S with 23s (1) cores
% 4.60/3.69 # Preprocessing time : 0.008 s
% 4.60/3.69 # Presaturation interreduction done
% 4.60/3.69
% 4.60/3.69 # Proof found!
% 4.60/3.69 # SZS status Theorem
% 4.60/3.69 # SZS output start CNFRefutation
% See solution above
% 4.60/3.69 # Parsed axioms : 18324
% 4.60/3.69 # Removed by relevancy pruning/SinE : 18278
% 4.60/3.69 # Initial clauses : 88
% 4.60/3.69 # Removed in clause preprocessing : 0
% 4.60/3.69 # Initial clauses in saturation : 88
% 4.60/3.69 # Processed clauses : 514
% 4.60/3.69 # ...of these trivial : 2
% 4.60/3.69 # ...subsumed : 102
% 4.60/3.69 # ...remaining for further processing : 410
% 4.60/3.69 # Other redundant clauses eliminated : 0
% 4.60/3.69 # Clauses deleted for lack of memory : 0
% 4.60/3.69 # Backward-subsumed : 71
% 4.60/3.69 # Backward-rewritten : 49
% 4.60/3.69 # Generated clauses : 1130
% 4.60/3.69 # ...of the previous two non-redundant : 1120
% 4.60/3.69 # ...aggressively subsumed : 0
% 4.60/3.69 # Contextual simplify-reflections : 90
% 4.60/3.69 # Paramodulations : 1123
% 4.60/3.69 # Factorizations : 0
% 4.60/3.69 # NegExts : 0
% 4.60/3.69 # Equation resolutions : 7
% 4.60/3.69 # Disequality decompositions : 0
% 4.60/3.69 # Total rewrite steps : 504
% 4.60/3.69 # ...of those cached : 475
% 4.60/3.69 # Propositional unsat checks : 0
% 4.60/3.69 # Propositional check models : 0
% 4.60/3.69 # Propositional check unsatisfiable : 0
% 4.60/3.69 # Propositional clauses : 0
% 4.60/3.69 # Propositional clauses after purity: 0
% 4.60/3.69 # Propositional unsat core size : 0
% 4.60/3.69 # Propositional preprocessing time : 0.000
% 4.60/3.69 # Propositional encoding time : 0.000
% 4.60/3.69 # Propositional solver time : 0.000
% 4.60/3.69 # Success case prop preproc time : 0.000
% 4.60/3.69 # Success case prop encoding time : 0.000
% 4.60/3.69 # Success case prop solver time : 0.000
% 4.60/3.69 # Current number of processed clauses : 202
% 4.60/3.69 # Positive orientable unit clauses : 39
% 4.60/3.69 # Positive unorientable unit clauses: 0
% 4.60/3.69 # Negative unit clauses : 5
% 4.60/3.69 # Non-unit-clauses : 158
% 4.60/3.69 # Current number of unprocessed clauses: 780
% 4.60/3.69 # ...number of literals in the above : 3605
% 4.60/3.69 # Current number of archived formulas : 0
% 4.60/3.69 # Current number of archived clauses : 208
% 4.60/3.69 # Clause-clause subsumption calls (NU) : 15264
% 4.60/3.69 # Rec. Clause-clause subsumption calls : 4530
% 4.60/3.69 # Non-unit clause-clause subsumptions : 263
% 4.60/3.69 # Unit Clause-clause subsumption calls : 170
% 4.60/3.69 # Rewrite failures with RHS unbound : 0
% 4.60/3.69 # BW rewrite match attempts : 16
% 4.60/3.69 # BW rewrite match successes : 2
% 4.60/3.69 # Condensation attempts : 0
% 4.60/3.69 # Condensation successes : 0
% 4.60/3.69 # Termbank termtop insertions : 551060
% 4.60/3.69 # Search garbage collected termcells : 170820
% 4.60/3.69
% 4.60/3.69 # -------------------------------------------------
% 4.60/3.69 # User time : 0.208 s
% 4.60/3.69 # System time : 0.056 s
% 4.60/3.69 # Total time : 0.264 s
% 4.60/3.69 # Maximum resident set size: 36212 pages
% 4.60/3.69
% 4.60/3.69 # -------------------------------------------------
% 4.60/3.69 # User time : 1.007 s
% 4.60/3.69 # System time : 0.078 s
% 4.60/3.69 # Total time : 1.085 s
% 4.60/3.69 # Maximum resident set size: 27884 pages
% 4.60/3.69 % E---3.1 exiting
%------------------------------------------------------------------------------