TSTP Solution File: GEO531+1 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : GEO531+1 : TPTP v8.1.2. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n007.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 17:35:10 EDT 2023
% Result : Theorem 39.56s 5.46s
% Output : CNFRefutation 39.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 76 ( 26 unt; 0 def)
% Number of atoms : 314 ( 128 equ)
% Maximal formula atoms : 42 ( 4 avg)
% Number of connectives : 315 ( 77 ~; 209 |; 29 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-6 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-6 aty)
% Number of variables : 179 ( 0 sgn; 97 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(aSatz11_6,conjecture,
! [X12,X15,X14] :
( X12 = X15
| X14 = X15
| congruent(X12,X15,X14,X12,X15,X14) ),
file('/export/starexec/sandbox/tmp/tmp.8fLaXukRLj/E---3.1_7534.p',aSatz11_6) ).
fof(aSatz11_4b,axiom,
! [X12,X15,X14,X17,X18,X19] :
( ( X12 = X15
| X14 = X15
| X17 = X18
| X19 = X18
| sameside(f113a(X12,X15,X14,X17,X18,X19),X15,X12)
| congruent(X12,X15,X14,X17,X18,X19) )
& ( X12 = X15
| X14 = X15
| X17 = X18
| X19 = X18
| sameside(f113c(X12,X15,X14,X17,X18,X19),X15,X14)
| congruent(X12,X15,X14,X17,X18,X19) )
& ( X12 = X15
| X14 = X15
| X17 = X18
| X19 = X18
| sameside(f113d(X12,X15,X14,X17,X18,X19),X18,X17)
| congruent(X12,X15,X14,X17,X18,X19) )
& ( X12 = X15
| X14 = X15
| X17 = X18
| X19 = X18
| sameside(f113f(X12,X15,X14,X17,X18,X19),X18,X19)
| congruent(X12,X15,X14,X17,X18,X19) )
& ( X12 = X15
| X14 = X15
| X17 = X18
| X19 = X18
| s_e(X15,f113a(X12,X15,X14,X17,X18,X19),X18,f113d(X12,X15,X14,X17,X18,X19))
| congruent(X12,X15,X14,X17,X18,X19) )
& ( X12 = X15
| X14 = X15
| X17 = X18
| X19 = X18
| s_e(X15,f113c(X12,X15,X14,X17,X18,X19),X18,f113f(X12,X15,X14,X17,X18,X19))
| congruent(X12,X15,X14,X17,X18,X19) )
& ( X12 = X15
| X14 = X15
| X17 = X18
| X19 = X18
| ~ s_e(f113a(X12,X15,X14,X17,X18,X19),f113c(X12,X15,X14,X17,X18,X19),f113d(X12,X15,X14,X17,X18,X19),f113f(X12,X15,X14,X17,X18,X19))
| congruent(X12,X15,X14,X17,X18,X19) ) ),
file('/export/starexec/sandbox/tmp/tmp.8fLaXukRLj/E---3.1_7534.p',aSatz11_4b) ).
fof(aSatz6_6,axiom,
! [X12,X13,X15] :
( ~ sameside(X12,X13,X15)
| sameside(X15,X13,X12) ),
file('/export/starexec/sandbox/tmp/tmp.8fLaXukRLj/E---3.1_7534.p',aSatz6_6) ).
fof(aSatz6_7,axiom,
! [X12,X13,X15,X14] :
( ~ sameside(X12,X13,X15)
| ~ sameside(X15,X13,X14)
| sameside(X12,X13,X14) ),
file('/export/starexec/sandbox/tmp/tmp.8fLaXukRLj/E---3.1_7534.p',aSatz6_7) ).
fof(aSatz7_2,axiom,
! [X12,X29,X15] :
( ~ s_m(X12,X29,X15)
| s_m(X15,X29,X12) ),
file('/export/starexec/sandbox/tmp/tmp.8fLaXukRLj/E---3.1_7534.p',aSatz7_2) ).
fof(aSatz7_20,axiom,
! [X12,X29,X15] :
( ~ s_col(X12,X29,X15)
| ~ s_e(X29,X12,X29,X15)
| X12 = X15
| s_m(X12,X29,X15) ),
file('/export/starexec/sandbox/tmp/tmp.8fLaXukRLj/E---3.1_7534.p',aSatz7_20) ).
fof(aSatz6_4a,axiom,
! [X12,X13,X15] :
( ( ~ sameside(X12,X13,X15)
| s_col(X12,X13,X15) )
& ( ~ sameside(X12,X13,X15)
| ~ s_t(X12,X13,X15) ) ),
file('/export/starexec/sandbox/tmp/tmp.8fLaXukRLj/E---3.1_7534.p',aSatz6_4a) ).
fof(d_Defn7_1,axiom,
! [X12,X29,X15] :
( ( ~ s_m(X12,X29,X15)
| s_t(X12,X29,X15) )
& ( ~ s_m(X12,X29,X15)
| s_e(X29,X12,X29,X15) )
& ( ~ s_t(X12,X29,X15)
| ~ s_e(X29,X12,X29,X15)
| s_m(X12,X29,X15) ) ),
file('/export/starexec/sandbox/tmp/tmp.8fLaXukRLj/E---3.1_7534.p',d_Defn7_1) ).
fof(aSatz2_2,axiom,
! [X12,X15,X14,X17] :
( ~ s_e(X12,X15,X14,X17)
| s_e(X14,X17,X12,X15) ),
file('/export/starexec/sandbox/tmp/tmp.8fLaXukRLj/E---3.1_7534.p',aSatz2_2) ).
fof(aSatz2_1,axiom,
! [X12,X15] : s_e(X12,X15,X12,X15),
file('/export/starexec/sandbox/tmp/tmp.8fLaXukRLj/E---3.1_7534.p',aSatz2_1) ).
fof(c_0_10,negated_conjecture,
~ ! [X12,X15,X14] :
( X12 = X15
| X14 = X15
| congruent(X12,X15,X14,X12,X15,X14) ),
inference(assume_negation,[status(cth)],[aSatz11_6]) ).
fof(c_0_11,plain,
! [X12,X15,X14,X17,X18,X19] :
( ( X12 = X15
| X14 = X15
| X17 = X18
| X19 = X18
| sameside(f113a(X12,X15,X14,X17,X18,X19),X15,X12)
| congruent(X12,X15,X14,X17,X18,X19) )
& ( X12 = X15
| X14 = X15
| X17 = X18
| X19 = X18
| sameside(f113c(X12,X15,X14,X17,X18,X19),X15,X14)
| congruent(X12,X15,X14,X17,X18,X19) )
& ( X12 = X15
| X14 = X15
| X17 = X18
| X19 = X18
| sameside(f113d(X12,X15,X14,X17,X18,X19),X18,X17)
| congruent(X12,X15,X14,X17,X18,X19) )
& ( X12 = X15
| X14 = X15
| X17 = X18
| X19 = X18
| sameside(f113f(X12,X15,X14,X17,X18,X19),X18,X19)
| congruent(X12,X15,X14,X17,X18,X19) )
& ( X12 = X15
| X14 = X15
| X17 = X18
| X19 = X18
| s_e(X15,f113a(X12,X15,X14,X17,X18,X19),X18,f113d(X12,X15,X14,X17,X18,X19))
| congruent(X12,X15,X14,X17,X18,X19) )
& ( X12 = X15
| X14 = X15
| X17 = X18
| X19 = X18
| s_e(X15,f113c(X12,X15,X14,X17,X18,X19),X18,f113f(X12,X15,X14,X17,X18,X19))
| congruent(X12,X15,X14,X17,X18,X19) )
& ( X12 = X15
| X14 = X15
| X17 = X18
| X19 = X18
| ~ s_e(f113a(X12,X15,X14,X17,X18,X19),f113c(X12,X15,X14,X17,X18,X19),f113d(X12,X15,X14,X17,X18,X19),f113f(X12,X15,X14,X17,X18,X19))
| congruent(X12,X15,X14,X17,X18,X19) ) ),
inference(fof_simplification,[status(thm)],[aSatz11_4b]) ).
fof(c_0_12,plain,
! [X12,X13,X15] :
( ~ sameside(X12,X13,X15)
| sameside(X15,X13,X12) ),
inference(fof_simplification,[status(thm)],[aSatz6_6]) ).
fof(c_0_13,negated_conjecture,
( esk1_0 != esk2_0
& esk3_0 != esk2_0
& ~ congruent(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])]) ).
fof(c_0_14,plain,
! [X70,X71,X72,X73,X74,X75] :
( ( X70 = X71
| X72 = X71
| X73 = X74
| X75 = X74
| sameside(f113a(X70,X71,X72,X73,X74,X75),X71,X70)
| congruent(X70,X71,X72,X73,X74,X75) )
& ( X70 = X71
| X72 = X71
| X73 = X74
| X75 = X74
| sameside(f113c(X70,X71,X72,X73,X74,X75),X71,X72)
| congruent(X70,X71,X72,X73,X74,X75) )
& ( X70 = X71
| X72 = X71
| X73 = X74
| X75 = X74
| sameside(f113d(X70,X71,X72,X73,X74,X75),X74,X73)
| congruent(X70,X71,X72,X73,X74,X75) )
& ( X70 = X71
| X72 = X71
| X73 = X74
| X75 = X74
| sameside(f113f(X70,X71,X72,X73,X74,X75),X74,X75)
| congruent(X70,X71,X72,X73,X74,X75) )
& ( X70 = X71
| X72 = X71
| X73 = X74
| X75 = X74
| s_e(X71,f113a(X70,X71,X72,X73,X74,X75),X74,f113d(X70,X71,X72,X73,X74,X75))
| congruent(X70,X71,X72,X73,X74,X75) )
& ( X70 = X71
| X72 = X71
| X73 = X74
| X75 = X74
| s_e(X71,f113c(X70,X71,X72,X73,X74,X75),X74,f113f(X70,X71,X72,X73,X74,X75))
| congruent(X70,X71,X72,X73,X74,X75) )
& ( X70 = X71
| X72 = X71
| X73 = X74
| X75 = X74
| ~ s_e(f113a(X70,X71,X72,X73,X74,X75),f113c(X70,X71,X72,X73,X74,X75),f113d(X70,X71,X72,X73,X74,X75),f113f(X70,X71,X72,X73,X74,X75))
| congruent(X70,X71,X72,X73,X74,X75) ) ),
inference(variable_rename,[status(thm)],[c_0_11]) ).
fof(c_0_15,plain,
! [X12,X13,X15,X14] :
( ~ sameside(X12,X13,X15)
| ~ sameside(X15,X13,X14)
| sameside(X12,X13,X14) ),
inference(fof_simplification,[status(thm)],[aSatz6_7]) ).
fof(c_0_16,plain,
! [X174,X175,X176] :
( ~ sameside(X174,X175,X176)
| sameside(X176,X175,X174) ),
inference(variable_rename,[status(thm)],[c_0_12]) ).
cnf(c_0_17,negated_conjecture,
~ congruent(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_18,plain,
( X1 = X2
| X3 = X2
| X4 = X5
| X6 = X5
| sameside(f113c(X1,X2,X3,X4,X5,X6),X2,X3)
| congruent(X1,X2,X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_19,negated_conjecture,
esk3_0 != esk2_0,
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_20,negated_conjecture,
esk1_0 != esk2_0,
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_21,plain,
( X1 = X2
| X3 = X2
| X4 = X5
| X6 = X5
| sameside(f113a(X1,X2,X3,X4,X5,X6),X2,X1)
| congruent(X1,X2,X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_22,plain,
! [X177,X178,X179,X180] :
( ~ sameside(X177,X178,X179)
| ~ sameside(X179,X178,X180)
| sameside(X177,X178,X180) ),
inference(variable_rename,[status(thm)],[c_0_15]) ).
cnf(c_0_23,plain,
( sameside(X3,X2,X1)
| ~ sameside(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_24,negated_conjecture,
sameside(f113c(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0),esk2_0,esk3_0),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),c_0_20]) ).
cnf(c_0_25,negated_conjecture,
sameside(f113a(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0),esk2_0,esk1_0),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_21]),c_0_19]),c_0_20]) ).
fof(c_0_26,plain,
! [X12,X29,X15] :
( ~ s_m(X12,X29,X15)
| s_m(X15,X29,X12) ),
inference(fof_simplification,[status(thm)],[aSatz7_2]) ).
fof(c_0_27,plain,
! [X12,X29,X15] :
( ~ s_col(X12,X29,X15)
| ~ s_e(X29,X12,X29,X15)
| X12 = X15
| s_m(X12,X29,X15) ),
inference(fof_simplification,[status(thm)],[aSatz7_20]) ).
fof(c_0_28,plain,
! [X12,X13,X15] :
( ( ~ sameside(X12,X13,X15)
| s_col(X12,X13,X15) )
& ( ~ sameside(X12,X13,X15)
| ~ s_t(X12,X13,X15) ) ),
inference(fof_simplification,[status(thm)],[aSatz6_4a]) ).
cnf(c_0_29,plain,
( sameside(X1,X2,X4)
| ~ sameside(X1,X2,X3)
| ~ sameside(X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_30,negated_conjecture,
sameside(esk3_0,esk2_0,f113c(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0)),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_31,negated_conjecture,
sameside(esk1_0,esk2_0,f113a(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0)),
inference(spm,[status(thm)],[c_0_23,c_0_25]) ).
fof(c_0_32,plain,
! [X12,X29,X15] :
( ( ~ s_m(X12,X29,X15)
| s_t(X12,X29,X15) )
& ( ~ s_m(X12,X29,X15)
| s_e(X29,X12,X29,X15) )
& ( ~ s_t(X12,X29,X15)
| ~ s_e(X29,X12,X29,X15)
| s_m(X12,X29,X15) ) ),
inference(fof_simplification,[status(thm)],[d_Defn7_1]) ).
fof(c_0_33,plain,
! [X724,X725,X726] :
( ~ s_m(X724,X725,X726)
| s_m(X726,X725,X724) ),
inference(variable_rename,[status(thm)],[c_0_26]) ).
fof(c_0_34,plain,
! [X398,X399,X400] :
( ~ s_col(X398,X399,X400)
| ~ s_e(X399,X398,X399,X400)
| X398 = X400
| s_m(X398,X399,X400) ),
inference(variable_rename,[status(thm)],[c_0_27]) ).
fof(c_0_35,plain,
! [X12,X15,X14,X17] :
( ~ s_e(X12,X15,X14,X17)
| s_e(X14,X17,X12,X15) ),
inference(fof_simplification,[status(thm)],[aSatz2_2]) ).
fof(c_0_36,plain,
! [X166,X167,X168] :
( ( ~ sameside(X166,X167,X168)
| s_col(X166,X167,X168) )
& ( ~ sameside(X166,X167,X168)
| ~ s_t(X166,X167,X168) ) ),
inference(variable_rename,[status(thm)],[c_0_28]) ).
cnf(c_0_37,negated_conjecture,
( sameside(X1,esk2_0,f113c(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0))
| ~ sameside(X1,esk2_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_38,plain,
( X1 = X2
| X3 = X2
| X4 = X5
| X6 = X5
| sameside(f113f(X1,X2,X3,X4,X5,X6),X5,X6)
| congruent(X1,X2,X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_39,negated_conjecture,
( sameside(X1,esk2_0,f113a(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0))
| ~ sameside(X1,esk2_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_29,c_0_31]) ).
cnf(c_0_40,plain,
( X1 = X2
| X3 = X2
| X4 = X5
| X6 = X5
| sameside(f113d(X1,X2,X3,X4,X5,X6),X5,X4)
| congruent(X1,X2,X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_41,plain,
! [X428,X429,X430] :
( ( ~ s_m(X428,X429,X430)
| s_t(X428,X429,X430) )
& ( ~ s_m(X428,X429,X430)
| s_e(X429,X428,X429,X430) )
& ( ~ s_t(X428,X429,X430)
| ~ s_e(X429,X428,X429,X430)
| s_m(X428,X429,X430) ) ),
inference(variable_rename,[status(thm)],[c_0_32]) ).
cnf(c_0_42,plain,
( s_m(X3,X2,X1)
| ~ s_m(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_43,plain,
( X1 = X3
| s_m(X1,X2,X3)
| ~ s_col(X1,X2,X3)
| ~ s_e(X2,X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
fof(c_0_44,plain,
! [X307,X308,X309,X310] :
( ~ s_e(X307,X308,X309,X310)
| s_e(X309,X310,X307,X308) ),
inference(variable_rename,[status(thm)],[c_0_35]) ).
cnf(c_0_45,plain,
( X1 = X2
| X3 = X2
| X4 = X5
| X6 = X5
| s_e(X2,f113c(X1,X2,X3,X4,X5,X6),X5,f113f(X1,X2,X3,X4,X5,X6))
| congruent(X1,X2,X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_46,plain,
( s_col(X1,X2,X3)
| ~ sameside(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_47,negated_conjecture,
( sameside(f113c(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0),esk2_0,X1)
| ~ sameside(X1,esk2_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_23,c_0_37]) ).
cnf(c_0_48,negated_conjecture,
sameside(f113f(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0),esk2_0,esk3_0),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_38]),c_0_19]),c_0_20]) ).
cnf(c_0_49,plain,
( X1 = X2
| X3 = X2
| X4 = X5
| X6 = X5
| s_e(X2,f113a(X1,X2,X3,X4,X5,X6),X5,f113d(X1,X2,X3,X4,X5,X6))
| congruent(X1,X2,X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_50,negated_conjecture,
( sameside(f113a(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0),esk2_0,X1)
| ~ sameside(X1,esk2_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_23,c_0_39]) ).
cnf(c_0_51,negated_conjecture,
sameside(f113d(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0),esk2_0,esk1_0),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_40]),c_0_19]),c_0_20]) ).
cnf(c_0_52,plain,
( s_t(X1,X2,X3)
| ~ s_m(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_53,plain,
( X1 = X2
| s_m(X2,X3,X1)
| ~ s_col(X1,X3,X2)
| ~ s_e(X3,X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_54,plain,
( s_e(X3,X4,X1,X2)
| ~ s_e(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_55,negated_conjecture,
s_e(esk2_0,f113c(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0),esk2_0,f113f(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_45]),c_0_19]),c_0_20]) ).
cnf(c_0_56,negated_conjecture,
( s_col(X1,esk2_0,f113c(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0))
| ~ sameside(X1,esk2_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_46,c_0_37]) ).
cnf(c_0_57,plain,
( ~ sameside(X1,X2,X3)
| ~ s_t(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_58,negated_conjecture,
sameside(f113c(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0),esk2_0,f113f(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0)),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_59,negated_conjecture,
s_e(esk2_0,f113a(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0),esk2_0,f113d(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_49]),c_0_19]),c_0_20]) ).
cnf(c_0_60,negated_conjecture,
( s_col(X1,esk2_0,f113a(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0))
| ~ sameside(X1,esk2_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_46,c_0_39]) ).
cnf(c_0_61,negated_conjecture,
sameside(f113a(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0),esk2_0,f113d(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0)),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_62,plain,
( X1 = X2
| X3 = X2
| X4 = X5
| X6 = X5
| congruent(X1,X2,X3,X4,X5,X6)
| ~ s_e(f113a(X1,X2,X3,X4,X5,X6),f113c(X1,X2,X3,X4,X5,X6),f113d(X1,X2,X3,X4,X5,X6),f113f(X1,X2,X3,X4,X5,X6)) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_63,plain,
( X1 = X2
| s_t(X2,X3,X1)
| ~ s_col(X1,X3,X2)
| ~ s_e(X3,X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_64,negated_conjecture,
s_e(esk2_0,f113f(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0),esk2_0,f113c(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0)),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_65,negated_conjecture,
s_col(f113f(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0),esk2_0,f113c(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0)),
inference(spm,[status(thm)],[c_0_56,c_0_48]) ).
cnf(c_0_66,negated_conjecture,
~ s_t(f113c(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0),esk2_0,f113f(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0)),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_67,negated_conjecture,
s_e(esk2_0,f113d(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0),esk2_0,f113a(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0)),
inference(spm,[status(thm)],[c_0_54,c_0_59]) ).
cnf(c_0_68,negated_conjecture,
s_col(f113d(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0),esk2_0,f113a(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0)),
inference(spm,[status(thm)],[c_0_60,c_0_51]) ).
cnf(c_0_69,negated_conjecture,
~ s_t(f113a(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0),esk2_0,f113d(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0)),
inference(spm,[status(thm)],[c_0_57,c_0_61]) ).
fof(c_0_70,plain,
! [X305,X306] : s_e(X305,X306,X305,X306),
inference(variable_rename,[status(thm)],[aSatz2_1]) ).
cnf(c_0_71,negated_conjecture,
~ s_e(f113a(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0),f113c(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0),f113d(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0),f113f(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_62]),c_0_19]),c_0_20]) ).
cnf(c_0_72,negated_conjecture,
f113f(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0) = f113c(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65])]),c_0_66]) ).
cnf(c_0_73,negated_conjecture,
f113d(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0) = f113a(esk1_0,esk2_0,esk3_0,esk1_0,esk2_0,esk3_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_67]),c_0_68])]),c_0_69]) ).
cnf(c_0_74,plain,
s_e(X1,X2,X1,X2),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_75,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_72]),c_0_73]),c_0_74])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : GEO531+1 : TPTP v8.1.2. Released v7.0.0.
% 0.09/0.11 % Command : run_E %s %d THM
% 0.11/0.31 % Computer : n007.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 2400
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Tue Oct 3 06:29:10 EDT 2023
% 0.16/0.32 % CPUTime :
% 0.16/0.45 Running first-order model finding
% 0.16/0.45 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.8fLaXukRLj/E---3.1_7534.p
% 39.56/5.46 # Version: 3.1pre001
% 39.56/5.46 # Preprocessing class: FSLSSMSMSSSNFFN.
% 39.56/5.46 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 39.56/5.46 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 39.56/5.46 # Starting new_bool_3 with 300s (1) cores
% 39.56/5.46 # Starting new_bool_1 with 300s (1) cores
% 39.56/5.46 # Starting sh5l with 300s (1) cores
% 39.56/5.46 # sh5l with pid 7614 completed with status 0
% 39.56/5.46 # Result found by sh5l
% 39.56/5.46 # Preprocessing class: FSLSSMSMSSSNFFN.
% 39.56/5.46 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 39.56/5.46 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 39.56/5.46 # Starting new_bool_3 with 300s (1) cores
% 39.56/5.46 # Starting new_bool_1 with 300s (1) cores
% 39.56/5.46 # Starting sh5l with 300s (1) cores
% 39.56/5.46 # SinE strategy is gf500_gu_R04_F100_L20000
% 39.56/5.46 # Search class: FGHSM-FSLF33-SFFFFFNN
% 39.56/5.46 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 39.56/5.46 # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 98s (1) cores
% 39.56/5.46 # G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with pid 7617 completed with status 0
% 39.56/5.46 # Result found by G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y
% 39.56/5.46 # Preprocessing class: FSLSSMSMSSSNFFN.
% 39.56/5.46 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 39.56/5.46 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 39.56/5.46 # Starting new_bool_3 with 300s (1) cores
% 39.56/5.46 # Starting new_bool_1 with 300s (1) cores
% 39.56/5.46 # Starting sh5l with 300s (1) cores
% 39.56/5.46 # SinE strategy is gf500_gu_R04_F100_L20000
% 39.56/5.46 # Search class: FGHSM-FSLF33-SFFFFFNN
% 39.56/5.46 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 39.56/5.46 # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 98s (1) cores
% 39.56/5.46 # Preprocessing time : 0.004 s
% 39.56/5.46 # Presaturation interreduction done
% 39.56/5.46
% 39.56/5.46 # Proof found!
% 39.56/5.46 # SZS status Theorem
% 39.56/5.46 # SZS output start CNFRefutation
% See solution above
% 39.56/5.46 # Parsed axioms : 222
% 39.56/5.46 # Removed by relevancy pruning/SinE : 31
% 39.56/5.46 # Initial clauses : 226
% 39.56/5.46 # Removed in clause preprocessing : 0
% 39.56/5.46 # Initial clauses in saturation : 226
% 39.56/5.46 # Processed clauses : 21483
% 39.56/5.46 # ...of these trivial : 1354
% 39.56/5.46 # ...subsumed : 15669
% 39.56/5.46 # ...remaining for further processing : 4459
% 39.56/5.46 # Other redundant clauses eliminated : 1066
% 39.56/5.46 # Clauses deleted for lack of memory : 0
% 39.56/5.46 # Backward-subsumed : 86
% 39.56/5.46 # Backward-rewritten : 694
% 39.56/5.46 # Generated clauses : 205057
% 39.56/5.46 # ...of the previous two non-redundant : 175993
% 39.56/5.46 # ...aggressively subsumed : 0
% 39.56/5.46 # Contextual simplify-reflections : 50
% 39.56/5.46 # Paramodulations : 203985
% 39.56/5.46 # Factorizations : 2
% 39.56/5.46 # NegExts : 0
% 39.56/5.46 # Equation resolutions : 1070
% 39.56/5.46 # Total rewrite steps : 76652
% 39.56/5.46 # Propositional unsat checks : 0
% 39.56/5.46 # Propositional check models : 0
% 39.56/5.46 # Propositional check unsatisfiable : 0
% 39.56/5.46 # Propositional clauses : 0
% 39.56/5.46 # Propositional clauses after purity: 0
% 39.56/5.46 # Propositional unsat core size : 0
% 39.56/5.46 # Propositional preprocessing time : 0.000
% 39.56/5.46 # Propositional encoding time : 0.000
% 39.56/5.46 # Propositional solver time : 0.000
% 39.56/5.46 # Success case prop preproc time : 0.000
% 39.56/5.46 # Success case prop encoding time : 0.000
% 39.56/5.46 # Success case prop solver time : 0.000
% 39.56/5.46 # Current number of processed clauses : 3466
% 39.56/5.46 # Positive orientable unit clauses : 457
% 39.56/5.46 # Positive unorientable unit clauses: 1
% 39.56/5.46 # Negative unit clauses : 166
% 39.56/5.46 # Non-unit-clauses : 2842
% 39.56/5.46 # Current number of unprocessed clauses: 154009
% 39.56/5.46 # ...number of literals in the above : 653479
% 39.56/5.46 # Current number of archived formulas : 0
% 39.56/5.46 # Current number of archived clauses : 984
% 39.56/5.46 # Clause-clause subsumption calls (NU) : 1303993
% 39.56/5.46 # Rec. Clause-clause subsumption calls : 638056
% 39.56/5.46 # Non-unit clause-clause subsumptions : 9845
% 39.56/5.46 # Unit Clause-clause subsumption calls : 43115
% 39.56/5.46 # Rewrite failures with RHS unbound : 0
% 39.56/5.46 # BW rewrite match attempts : 20946
% 39.56/5.46 # BW rewrite match successes : 21
% 39.56/5.46 # Condensation attempts : 0
% 39.56/5.46 # Condensation successes : 0
% 39.56/5.46 # Termbank termtop insertions : 4070951
% 39.56/5.46
% 39.56/5.46 # -------------------------------------------------
% 39.56/5.46 # User time : 4.764 s
% 39.56/5.46 # System time : 0.123 s
% 39.56/5.46 # Total time : 4.887 s
% 39.56/5.46 # Maximum resident set size: 3292 pages
% 39.56/5.46
% 39.56/5.46 # -------------------------------------------------
% 39.56/5.46 # User time : 4.773 s
% 39.56/5.46 # System time : 0.125 s
% 39.56/5.46 # Total time : 4.898 s
% 39.56/5.46 # Maximum resident set size: 2140 pages
% 39.56/5.46 % E---3.1 exiting
%------------------------------------------------------------------------------