TSTP Solution File: GEO521+1 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : GEO521+1 : TPTP v8.1.2. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n027.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 17:35:09 EDT 2023
% Result : Theorem 549.66s 70.25s
% Output : CNFRefutation 549.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 24
% Syntax : Number of formulae : 134 ( 43 unt; 0 def)
% Number of atoms : 384 ( 50 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 428 ( 178 ~; 219 |; 31 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-3 aty)
% Number of variables : 323 ( 8 sgn; 212 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(aLemma9_13f_case1,conjecture,
! [X13,X16,X28,X29] :
( X13 = X16
| s_col(X13,X16,X28)
| s_col(X13,X16,X29)
| samesideline(X28,X29,X13,X16)
| opposite(X28,X13,X16,X29)
| X13 != foot(X13,X16,X28) ),
file('/export/starexec/sandbox/tmp/tmp.U2aqsfXTFx/E---3.1_26737.p',aLemma9_13f_case1) ).
fof(aSatz8_12b,axiom,
! [X12,X15,X13,X16] :
( ~ perp(X12,X15,X13,X16)
| perp(X13,X16,X12,X15) ),
file('/export/starexec/sandbox/tmp/tmp.U2aqsfXTFx/E---3.1_26737.p',aSatz8_12b) ).
fof(aSatz8_18,axiom,
! [X12,X15,X14] :
( ( s_col(X12,X15,X14)
| s_col(X12,X15,foot(X12,X15,X14)) )
& ( s_col(X12,X15,X14)
| perp(X12,X15,X14,foot(X12,X15,X14)) ) ),
file('/export/starexec/sandbox/tmp/tmp.U2aqsfXTFx/E---3.1_26737.p',aSatz8_18) ).
fof(aSatz8_14a,axiom,
! [X12,X15,X13,X16] :
( ~ perp(X12,X15,X13,X16)
| ~ s_col(X12,X15,X13)
| ~ s_col(X12,X15,X16) ),
file('/export/starexec/sandbox/tmp/tmp.U2aqsfXTFx/E---3.1_26737.p',aSatz8_14a) ).
fof(d_Defn4_10,axiom,
! [X12,X15,X14] :
( ( ~ s_col(X12,X15,X14)
| s_t(X12,X15,X14)
| s_t(X15,X14,X12)
| s_t(X14,X12,X15) )
& ( s_col(X12,X15,X14)
| ~ s_t(X12,X15,X14) )
& ( s_col(X12,X15,X14)
| ~ s_t(X15,X14,X12) )
& ( s_col(X12,X15,X14)
| ~ s_t(X14,X12,X15) ) ),
file('/export/starexec/sandbox/tmp/tmp.U2aqsfXTFx/E---3.1_26737.p',d_Defn4_10) ).
fof(aSatz3_3,axiom,
! [X21,X22] : s_t(X21,X21,X22),
file('/export/starexec/sandbox/tmp/tmp.U2aqsfXTFx/E---3.1_26737.p',aSatz3_3) ).
fof(aSatz4_11a,axiom,
! [X12,X15,X14] :
( ~ s_col(X12,X15,X14)
| s_col(X15,X14,X12) ),
file('/export/starexec/sandbox/tmp/tmp.U2aqsfXTFx/E---3.1_26737.p',aSatz4_11a) ).
fof(aperp1,axiom,
! [X12,X15,X13,X16] :
( ~ perp(X12,X15,X13,X16)
| perp(X15,X12,X13,X16) ),
file('/export/starexec/sandbox/tmp/tmp.U2aqsfXTFx/E---3.1_26737.p',aperp1) ).
fof(aSatz6_4b,axiom,
! [X12,X13,X15] :
( sameside(X12,X13,X15)
| ~ s_col(X12,X13,X15)
| s_t(X12,X13,X15) ),
file('/export/starexec/sandbox/tmp/tmp.U2aqsfXTFx/E---3.1_26737.p',aSatz6_4b) ).
fof(aSatz8_16a,axiom,
! [X12,X15,X13,X16,X14] :
( ( X12 = X15
| ~ s_col(X12,X15,X13)
| ~ s_col(X12,X15,X16)
| X16 = X13
| ~ s_col(X12,X15,X14)
| ~ perp(X12,X15,X14,X13) )
& ( X12 = X15
| ~ s_col(X12,X15,X13)
| ~ s_col(X12,X15,X16)
| X16 = X13
| s_r(X14,X13,X16)
| ~ perp(X12,X15,X14,X13) ) ),
file('/export/starexec/sandbox/tmp/tmp.U2aqsfXTFx/E---3.1_26737.p',aSatz8_16a) ).
fof(aSatz4_11d,axiom,
! [X12,X15,X14] :
( ~ s_col(X12,X15,X14)
| s_col(X15,X12,X14) ),
file('/export/starexec/sandbox/tmp/tmp.U2aqsfXTFx/E---3.1_26737.p',aSatz4_11d) ).
fof(d_Defn7_1,axiom,
! [X12,X30,X15] :
( ( ~ s_m(X12,X30,X15)
| s_t(X12,X30,X15) )
& ( ~ s_m(X12,X30,X15)
| s_e(X30,X12,X30,X15) )
& ( ~ s_t(X12,X30,X15)
| ~ s_e(X30,X12,X30,X15)
| s_m(X12,X30,X15) ) ),
file('/export/starexec/sandbox/tmp/tmp.U2aqsfXTFx/E---3.1_26737.p',d_Defn7_1) ).
fof(aSatz4_12b,axiom,
! [X12,X15] : s_col(X12,X15,X12),
file('/export/starexec/sandbox/tmp/tmp.U2aqsfXTFx/E---3.1_26737.p',aSatz4_12b) ).
fof(aA9,axiom,
! [X13,X16,X12,X17,X15,X14] :
( X13 = X16
| ~ s_e(X12,X13,X17,X16)
| ~ s_e(X15,X13,X15,X16)
| ~ s_e(X14,X13,X14,X16)
| s_t(X12,X15,X14)
| s_t(X15,X14,X12)
| s_t(X14,X12,X15) ),
file('/export/starexec/sandbox/tmp/tmp.U2aqsfXTFx/E---3.1_26737.p',aA9) ).
fof(aSatz7_4a,axiom,
! [X13,X12] : s_m(X13,X12,s(X12,X13)),
file('/export/starexec/sandbox/tmp/tmp.U2aqsfXTFx/E---3.1_26737.p',aSatz7_4a) ).
fof(d_Defn8_1,axiom,
! [X12,X15,X14] :
( ( ~ s_r(X12,X15,X14)
| s_e(X12,X14,X12,s(X15,X14)) )
& ( s_r(X12,X15,X14)
| ~ s_e(X12,X14,X12,s(X15,X14)) ) ),
file('/export/starexec/sandbox/tmp/tmp.U2aqsfXTFx/E---3.1_26737.p',d_Defn8_1) ).
fof(aSatz8_6,axiom,
! [X12,X15,X14,X21] :
( ~ s_r(X12,X15,X14)
| ~ s_r(X21,X15,X14)
| ~ s_t(X12,X14,X21)
| X15 = X14 ),
file('/export/starexec/sandbox/tmp/tmp.U2aqsfXTFx/E---3.1_26737.p',aSatz8_6) ).
fof(aSatz8_2,axiom,
! [X12,X15,X14] :
( ~ s_r(X12,X15,X14)
| s_r(X14,X15,X12) ),
file('/export/starexec/sandbox/tmp/tmp.U2aqsfXTFx/E---3.1_26737.p',aSatz8_2) ).
fof(aSatz8_5,axiom,
! [X12,X15] : s_r(X12,X15,X15),
file('/export/starexec/sandbox/tmp/tmp.U2aqsfXTFx/E---3.1_26737.p',aSatz8_5) ).
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.U2aqsfXTFx/E---3.1_26737.p',aSatz6_4a) ).
fof(aSatz8_20b,axiom,
! [X12,X15,X14,X13] :
( ~ s_r(X12,X15,X14)
| ~ s_m(s(X12,X14),X13,s(X15,X14))
| X15 = X14
| X12 != X13 ),
file('/export/starexec/sandbox/tmp/tmp.U2aqsfXTFx/E---3.1_26737.p',aSatz8_20b) ).
fof(aSatz8_4,axiom,
! [X12,X15,X14] :
( ~ s_r(X12,X15,X14)
| s_r(X12,X15,s(X15,X14)) ),
file('/export/starexec/sandbox/tmp/tmp.U2aqsfXTFx/E---3.1_26737.p',aSatz8_4) ).
fof(aSatz2_8,axiom,
! [X12,X15] : s_e(X12,X12,X15,X15),
file('/export/starexec/sandbox/tmp/tmp.U2aqsfXTFx/E---3.1_26737.p',aSatz2_8) ).
fof(aSatz7_7,axiom,
! [X12,X13] : s(X12,s(X12,X13)) = X13,
file('/export/starexec/sandbox/tmp/tmp.U2aqsfXTFx/E---3.1_26737.p',aSatz7_7) ).
fof(c_0_24,negated_conjecture,
~ ! [X13,X16,X28,X29] :
( X13 = X16
| s_col(X13,X16,X28)
| s_col(X13,X16,X29)
| samesideline(X28,X29,X13,X16)
| opposite(X28,X13,X16,X29)
| X13 != foot(X13,X16,X28) ),
inference(assume_negation,[status(cth)],[aLemma9_13f_case1]) ).
fof(c_0_25,plain,
! [X12,X15,X13,X16] :
( ~ perp(X12,X15,X13,X16)
| perp(X13,X16,X12,X15) ),
inference(fof_simplification,[status(thm)],[aSatz8_12b]) ).
fof(c_0_26,negated_conjecture,
( esk1_0 != esk2_0
& ~ s_col(esk1_0,esk2_0,esk3_0)
& ~ s_col(esk1_0,esk2_0,esk4_0)
& ~ samesideline(esk3_0,esk4_0,esk1_0,esk2_0)
& ~ opposite(esk3_0,esk1_0,esk2_0,esk4_0)
& esk1_0 = foot(esk1_0,esk2_0,esk3_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])]) ).
fof(c_0_27,plain,
! [X52,X53,X54] :
( ( s_col(X52,X53,X54)
| s_col(X52,X53,foot(X52,X53,X54)) )
& ( s_col(X52,X53,X54)
| perp(X52,X53,X54,foot(X52,X53,X54)) ) ),
inference(variable_rename,[status(thm)],[aSatz8_18]) ).
fof(c_0_28,plain,
! [X12,X15,X13,X16] :
( ~ perp(X12,X15,X13,X16)
| ~ s_col(X12,X15,X13)
| ~ s_col(X12,X15,X16) ),
inference(fof_simplification,[status(thm)],[aSatz8_14a]) ).
fof(c_0_29,plain,
! [X226,X227,X228,X229] :
( ~ perp(X226,X227,X228,X229)
| perp(X228,X229,X226,X227) ),
inference(variable_rename,[status(thm)],[c_0_25]) ).
cnf(c_0_30,negated_conjecture,
~ s_col(esk1_0,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_31,plain,
( s_col(X1,X2,X3)
| perp(X1,X2,X3,foot(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_32,negated_conjecture,
esk1_0 = foot(esk1_0,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_33,plain,
! [X12,X15,X14] :
( ( ~ s_col(X12,X15,X14)
| s_t(X12,X15,X14)
| s_t(X15,X14,X12)
| s_t(X14,X12,X15) )
& ( s_col(X12,X15,X14)
| ~ s_t(X12,X15,X14) )
& ( s_col(X12,X15,X14)
| ~ s_t(X15,X14,X12) )
& ( s_col(X12,X15,X14)
| ~ s_t(X14,X12,X15) ) ),
inference(fof_simplification,[status(thm)],[d_Defn4_10]) ).
fof(c_0_34,plain,
! [X230,X231,X232,X233] :
( ~ perp(X230,X231,X232,X233)
| ~ s_col(X230,X231,X232)
| ~ s_col(X230,X231,X233) ),
inference(variable_rename,[status(thm)],[c_0_28]) ).
cnf(c_0_35,plain,
( perp(X3,X4,X1,X2)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_36,negated_conjecture,
perp(esk1_0,esk2_0,esk3_0,esk1_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]) ).
fof(c_0_37,plain,
! [X223,X224,X225] :
( ( ~ s_col(X223,X224,X225)
| s_t(X223,X224,X225)
| s_t(X224,X225,X223)
| s_t(X225,X223,X224) )
& ( s_col(X223,X224,X225)
| ~ s_t(X223,X224,X225) )
& ( s_col(X223,X224,X225)
| ~ s_t(X224,X225,X223) )
& ( s_col(X223,X224,X225)
| ~ s_t(X225,X223,X224) ) ),
inference(variable_rename,[status(thm)],[c_0_33]) ).
fof(c_0_38,plain,
! [X296,X297] : s_t(X296,X296,X297),
inference(variable_rename,[status(thm)],[aSatz3_3]) ).
fof(c_0_39,plain,
! [X12,X15,X14] :
( ~ s_col(X12,X15,X14)
| s_col(X15,X14,X12) ),
inference(fof_simplification,[status(thm)],[aSatz4_11a]) ).
cnf(c_0_40,plain,
( ~ perp(X1,X2,X3,X4)
| ~ s_col(X1,X2,X3)
| ~ s_col(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_41,negated_conjecture,
perp(esk3_0,esk1_0,esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_42,plain,
( s_col(X1,X2,X3)
| ~ s_t(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_43,plain,
s_t(X1,X1,X2),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
fof(c_0_44,plain,
! [X161,X162,X163] :
( ~ s_col(X161,X162,X163)
| s_col(X162,X163,X161) ),
inference(variable_rename,[status(thm)],[c_0_39]) ).
fof(c_0_45,plain,
! [X12,X15,X13,X16] :
( ~ perp(X12,X15,X13,X16)
| perp(X15,X12,X13,X16) ),
inference(fof_simplification,[status(thm)],[aperp1]) ).
cnf(c_0_46,negated_conjecture,
( ~ s_col(esk3_0,esk1_0,esk2_0)
| ~ s_col(esk3_0,esk1_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_47,plain,
s_col(X1,X2,X2),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_48,plain,
( s_col(X2,X3,X1)
| ~ s_col(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
fof(c_0_49,plain,
! [X239,X240,X241,X242] :
( ~ perp(X239,X240,X241,X242)
| perp(X240,X239,X241,X242) ),
inference(variable_rename,[status(thm)],[c_0_45]) ).
cnf(c_0_50,negated_conjecture,
~ s_col(esk3_0,esk1_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_47])]) ).
cnf(c_0_51,plain,
( perp(X1,X2,X3,foot(X1,X2,X3))
| s_col(X2,X3,X1) ),
inference(spm,[status(thm)],[c_0_48,c_0_31]) ).
fof(c_0_52,plain,
! [X12,X13,X15] :
( sameside(X12,X13,X15)
| ~ s_col(X12,X13,X15)
| s_t(X12,X13,X15) ),
inference(fof_simplification,[status(thm)],[aSatz6_4b]) ).
fof(c_0_53,plain,
! [X12,X15,X13,X16,X14] :
( ( X12 = X15
| ~ s_col(X12,X15,X13)
| ~ s_col(X12,X15,X16)
| X16 = X13
| ~ s_col(X12,X15,X14)
| ~ perp(X12,X15,X14,X13) )
& ( X12 = X15
| ~ s_col(X12,X15,X13)
| ~ s_col(X12,X15,X16)
| X16 = X13
| s_r(X14,X13,X16)
| ~ perp(X12,X15,X14,X13) ) ),
inference(fof_simplification,[status(thm)],[aSatz8_16a]) ).
cnf(c_0_54,plain,
( perp(X2,X1,X3,X4)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_55,negated_conjecture,
perp(esk2_0,esk3_0,esk1_0,foot(esk2_0,esk3_0,esk1_0)),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
fof(c_0_56,plain,
! [X369,X370,X371] :
( sameside(X369,X370,X371)
| ~ s_col(X369,X370,X371)
| s_t(X369,X370,X371) ),
inference(variable_rename,[status(thm)],[c_0_52]) ).
fof(c_0_57,plain,
! [X12,X15,X14] :
( ~ s_col(X12,X15,X14)
| s_col(X15,X12,X14) ),
inference(fof_simplification,[status(thm)],[aSatz4_11d]) ).
fof(c_0_58,plain,
! [X12,X30,X15] :
( ( ~ s_m(X12,X30,X15)
| s_t(X12,X30,X15) )
& ( ~ s_m(X12,X30,X15)
| s_e(X30,X12,X30,X15) )
& ( ~ s_t(X12,X30,X15)
| ~ s_e(X30,X12,X30,X15)
| s_m(X12,X30,X15) ) ),
inference(fof_simplification,[status(thm)],[d_Defn7_1]) ).
fof(c_0_59,plain,
! [X614,X615,X616,X617,X618] :
( ( X614 = X615
| ~ s_col(X614,X615,X616)
| ~ s_col(X614,X615,X617)
| X617 = X616
| ~ s_col(X614,X615,X618)
| ~ perp(X614,X615,X618,X616) )
& ( X614 = X615
| ~ s_col(X614,X615,X616)
| ~ s_col(X614,X615,X617)
| X617 = X616
| s_r(X618,X616,X617)
| ~ perp(X614,X615,X618,X616) ) ),
inference(variable_rename,[status(thm)],[c_0_53]) ).
fof(c_0_60,plain,
! [X178,X179] : s_col(X178,X179,X178),
inference(variable_rename,[status(thm)],[aSatz4_12b]) ).
cnf(c_0_61,negated_conjecture,
perp(esk3_0,esk2_0,esk1_0,foot(esk2_0,esk3_0,esk1_0)),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_62,plain,
( sameside(X1,X2,X3)
| s_t(X1,X2,X3)
| ~ s_col(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_63,plain,
( s_col(X1,X2,X3)
| s_col(X1,X2,foot(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_64,plain,
! [X170,X171,X172] :
( ~ s_col(X170,X171,X172)
| s_col(X171,X170,X172) ),
inference(variable_rename,[status(thm)],[c_0_57]) ).
fof(c_0_65,plain,
! [X13,X16,X12,X17,X15,X14] :
( X13 = X16
| ~ s_e(X12,X13,X17,X16)
| ~ s_e(X15,X13,X15,X16)
| ~ s_e(X14,X13,X14,X16)
| s_t(X12,X15,X14)
| s_t(X15,X14,X12)
| s_t(X14,X12,X15) ),
inference(fof_simplification,[status(thm)],[aA9]) ).
fof(c_0_66,plain,
! [X455,X456,X457] :
( ( ~ s_m(X455,X456,X457)
| s_t(X455,X456,X457) )
& ( ~ s_m(X455,X456,X457)
| s_e(X456,X455,X456,X457) )
& ( ~ s_t(X455,X456,X457)
| ~ s_e(X456,X455,X456,X457)
| s_m(X455,X456,X457) ) ),
inference(variable_rename,[status(thm)],[c_0_58]) ).
fof(c_0_67,plain,
! [X422,X423] : s_m(X422,X423,s(X423,X422)),
inference(variable_rename,[status(thm)],[aSatz7_4a]) ).
fof(c_0_68,plain,
! [X12,X15,X14] :
( ( ~ s_r(X12,X15,X14)
| s_e(X12,X14,X12,s(X15,X14)) )
& ( s_r(X12,X15,X14)
| ~ s_e(X12,X14,X12,s(X15,X14)) ) ),
inference(fof_simplification,[status(thm)],[d_Defn8_1]) ).
cnf(c_0_69,plain,
( X1 = X2
| X4 = X3
| s_r(X5,X3,X4)
| ~ s_col(X1,X2,X3)
| ~ s_col(X1,X2,X4)
| ~ perp(X1,X2,X5,X3) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_70,plain,
s_col(X1,X2,X1),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_71,negated_conjecture,
esk1_0 != esk2_0,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_72,plain,
! [X12,X15,X14,X21] :
( ~ s_r(X12,X15,X14)
| ~ s_r(X21,X15,X14)
| ~ s_t(X12,X14,X21)
| X15 = X14 ),
inference(fof_simplification,[status(thm)],[aSatz8_6]) ).
fof(c_0_73,plain,
! [X12,X15,X14] :
( ~ s_r(X12,X15,X14)
| s_r(X14,X15,X12) ),
inference(fof_simplification,[status(thm)],[aSatz8_2]) ).
cnf(c_0_74,negated_conjecture,
perp(esk2_0,esk1_0,esk3_0,esk1_0),
inference(spm,[status(thm)],[c_0_54,c_0_36]) ).
cnf(c_0_75,negated_conjecture,
( ~ s_col(esk3_0,esk2_0,foot(esk2_0,esk3_0,esk1_0))
| ~ s_col(esk3_0,esk2_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_40,c_0_61]) ).
cnf(c_0_76,plain,
( sameside(X1,X2,foot(X1,X2,X3))
| s_col(X1,X2,X3)
| s_t(X1,X2,foot(X1,X2,X3)) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_77,plain,
( s_col(X2,X1,X3)
| ~ s_col(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
fof(c_0_78,plain,
! [X273,X274,X275,X276,X277,X278] :
( X273 = X274
| ~ s_e(X275,X273,X276,X274)
| ~ s_e(X277,X273,X277,X274)
| ~ s_e(X278,X273,X278,X274)
| s_t(X275,X277,X278)
| s_t(X277,X278,X275)
| s_t(X278,X275,X277) ),
inference(variable_rename,[status(thm)],[c_0_65]) ).
cnf(c_0_79,plain,
( s_e(X2,X1,X2,X3)
| ~ s_m(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_80,plain,
s_m(X1,X2,s(X2,X1)),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
fof(c_0_81,plain,
! [X509,X510,X511] :
( ( ~ s_r(X509,X510,X511)
| s_e(X509,X511,X509,s(X510,X511)) )
& ( s_r(X509,X510,X511)
| ~ s_e(X509,X511,X509,s(X510,X511)) ) ),
inference(variable_rename,[status(thm)],[c_0_68]) ).
cnf(c_0_82,negated_conjecture,
( esk1_0 = X1
| s_r(esk3_0,esk1_0,X1)
| ~ s_col(esk1_0,esk2_0,X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_36]),c_0_70])]),c_0_71]) ).
fof(c_0_83,plain,
! [X602,X603,X604,X605] :
( ~ s_r(X602,X603,X604)
| ~ s_r(X605,X603,X604)
| ~ s_t(X602,X604,X605)
| X603 = X604 ),
inference(variable_rename,[status(thm)],[c_0_72]) ).
fof(c_0_84,plain,
! [X593,X594,X595] :
( ~ s_r(X593,X594,X595)
| s_r(X595,X594,X593) ),
inference(variable_rename,[status(thm)],[c_0_73]) ).
fof(c_0_85,plain,
! [X600,X601] : s_r(X600,X601,X601),
inference(variable_rename,[status(thm)],[aSatz8_5]) ).
cnf(c_0_86,negated_conjecture,
( ~ s_col(esk2_0,esk1_0,esk1_0)
| ~ s_col(esk2_0,esk1_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_40,c_0_74]) ).
fof(c_0_87,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_88,negated_conjecture,
( sameside(esk3_0,esk2_0,foot(esk3_0,esk2_0,esk1_0))
| s_t(esk3_0,esk2_0,foot(esk3_0,esk2_0,esk1_0))
| ~ s_col(esk3_0,esk2_0,foot(esk2_0,esk3_0,esk1_0)) ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_89,plain,
( s_col(X1,X2,foot(X2,X1,X3))
| s_col(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_77,c_0_63]) ).
fof(c_0_90,plain,
! [X12,X15,X14,X13] :
( ~ s_r(X12,X15,X14)
| ~ s_m(s(X12,X14),X13,s(X15,X14))
| X15 = X14
| X12 != X13 ),
inference(fof_simplification,[status(thm)],[aSatz8_20b]) ).
cnf(c_0_91,plain,
( X1 = X2
| s_t(X3,X5,X6)
| s_t(X5,X6,X3)
| s_t(X6,X3,X5)
| ~ s_e(X3,X1,X4,X2)
| ~ s_e(X5,X1,X5,X2)
| ~ s_e(X6,X1,X6,X2) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_92,plain,
s_e(X1,X2,X1,s(X1,X2)),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_93,plain,
( s_e(X1,X3,X1,s(X2,X3))
| ~ s_r(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_94,negated_conjecture,
s_r(esk3_0,esk1_0,esk2_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_47]),c_0_71]) ).
cnf(c_0_95,plain,
( X2 = X3
| ~ s_r(X1,X2,X3)
| ~ s_r(X4,X2,X3)
| ~ s_t(X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_96,plain,
( s_r(X3,X2,X1)
| ~ s_r(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_97,plain,
s_r(X1,X2,X2),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_98,negated_conjecture,
~ s_col(esk2_0,esk1_0,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_86,c_0_47])]) ).
fof(c_0_99,plain,
! [X366,X367,X368] :
( ( ~ sameside(X366,X367,X368)
| s_col(X366,X367,X368) )
& ( ~ sameside(X366,X367,X368)
| ~ s_t(X366,X367,X368) ) ),
inference(variable_rename,[status(thm)],[c_0_87]) ).
cnf(c_0_100,negated_conjecture,
( sameside(esk3_0,esk2_0,foot(esk3_0,esk2_0,esk1_0))
| s_col(esk2_0,esk3_0,esk1_0)
| s_t(esk3_0,esk2_0,foot(esk3_0,esk2_0,esk1_0)) ),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
fof(c_0_101,plain,
! [X505,X506,X507,X508] :
( ~ s_r(X505,X506,X507)
| ~ s_m(s(X505,X507),X508,s(X506,X507))
| X506 = X507
| X505 != X508 ),
inference(variable_rename,[status(thm)],[c_0_90]) ).
fof(c_0_102,plain,
! [X12,X15,X14] :
( ~ s_r(X12,X15,X14)
| s_r(X12,X15,s(X15,X14)) ),
inference(fof_simplification,[status(thm)],[aSatz8_4]) ).
cnf(c_0_103,plain,
( s(X1,X2) = X2
| s_t(X1,X3,X4)
| s_t(X4,X1,X3)
| s_t(X3,X4,X1)
| ~ s_e(X4,X2,X4,s(X1,X2))
| ~ s_e(X3,X2,X5,s(X1,X2)) ),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_104,negated_conjecture,
s_e(esk3_0,esk2_0,esk3_0,s(esk1_0,esk2_0)),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
fof(c_0_105,plain,
! [X584,X585] : s_e(X584,X584,X585,X585),
inference(variable_rename,[status(thm)],[aSatz2_8]) ).
cnf(c_0_106,negated_conjecture,
( ~ s_r(X1,esk1_0,esk2_0)
| ~ s_t(X1,esk2_0,esk3_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_94]),c_0_71]) ).
cnf(c_0_107,plain,
s_r(X1,X1,X2),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_108,negated_conjecture,
perp(esk3_0,esk2_0,esk1_0,foot(esk3_0,esk2_0,esk1_0)),
inference(spm,[status(thm)],[c_0_98,c_0_51]) ).
cnf(c_0_109,plain,
( s_col(X1,X2,X3)
| ~ sameside(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_110,negated_conjecture,
( sameside(esk3_0,esk2_0,foot(esk3_0,esk2_0,esk1_0))
| s_t(esk3_0,esk2_0,foot(esk3_0,esk2_0,esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_100]),c_0_50]) ).
cnf(c_0_111,plain,
( s_col(X1,X2,X3)
| ~ s_t(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_112,plain,
( X2 = X3
| ~ s_r(X1,X2,X3)
| ~ s_m(s(X1,X3),X4,s(X2,X3))
| X1 != X4 ),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
fof(c_0_113,plain,
! [X458,X459] : s(X458,s(X458,X459)) = X459,
inference(variable_rename,[status(thm)],[aSatz7_7]) ).
fof(c_0_114,plain,
! [X498,X499,X500] :
( ~ s_r(X498,X499,X500)
| s_r(X498,X499,s(X499,X500)) ),
inference(variable_rename,[status(thm)],[c_0_102]) ).
cnf(c_0_115,negated_conjecture,
( s(esk1_0,esk2_0) = esk2_0
| s_t(X1,esk3_0,esk1_0)
| s_t(esk3_0,esk1_0,X1)
| s_t(esk1_0,X1,esk3_0)
| ~ s_e(X1,esk2_0,X2,s(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_116,plain,
s_e(X1,X1,X2,X2),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
cnf(c_0_117,negated_conjecture,
~ s_t(esk1_0,esk2_0,esk3_0),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_118,negated_conjecture,
perp(esk2_0,esk3_0,esk1_0,foot(esk3_0,esk2_0,esk1_0)),
inference(spm,[status(thm)],[c_0_54,c_0_108]) ).
cnf(c_0_119,negated_conjecture,
s_col(esk3_0,esk2_0,foot(esk3_0,esk2_0,esk1_0)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_111]) ).
cnf(c_0_120,plain,
( X1 = X2
| ~ s_r(X3,X1,X2)
| ~ s_m(s(X3,X2),X3,s(X1,X2)) ),
inference(er,[status(thm)],[c_0_112]) ).
cnf(c_0_121,plain,
s(X1,s(X1,X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_113]) ).
cnf(c_0_122,plain,
( s_r(X1,X2,s(X2,X3))
| ~ s_r(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_114]) ).
cnf(c_0_123,negated_conjecture,
( s(esk1_0,esk2_0) = esk2_0
| s_t(esk3_0,esk1_0,esk2_0)
| s_t(esk2_0,esk3_0,esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_117]) ).
cnf(c_0_124,negated_conjecture,
( ~ s_col(esk2_0,esk3_0,foot(esk3_0,esk2_0,esk1_0))
| ~ s_col(esk2_0,esk3_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_40,c_0_118]) ).
cnf(c_0_125,negated_conjecture,
s_col(esk2_0,esk3_0,foot(esk3_0,esk2_0,esk1_0)),
inference(spm,[status(thm)],[c_0_77,c_0_119]) ).
cnf(c_0_126,plain,
( s(X1,X2) = X1
| ~ s_r(X3,X1,s(X1,X2))
| ~ s_m(s(X3,s(X1,X2)),X3,X2) ),
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_127,negated_conjecture,
s_r(esk3_0,esk1_0,s(esk1_0,esk2_0)),
inference(spm,[status(thm)],[c_0_122,c_0_94]) ).
cnf(c_0_128,negated_conjecture,
( s(esk1_0,esk2_0) = esk2_0
| s_t(esk2_0,esk3_0,esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_123]),c_0_50]) ).
cnf(c_0_129,negated_conjecture,
~ s_col(esk2_0,esk3_0,esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_124,c_0_125])]) ).
cnf(c_0_130,negated_conjecture,
( s(esk1_0,esk2_0) = esk1_0
| ~ s_m(s(esk3_0,s(esk1_0,esk2_0)),esk3_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_126,c_0_127]) ).
cnf(c_0_131,negated_conjecture,
s(esk1_0,esk2_0) = esk2_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_128]),c_0_129]) ).
cnf(c_0_132,plain,
s_m(s(X1,X2),X1,X2),
inference(spm,[status(thm)],[c_0_80,c_0_121]) ).
cnf(c_0_133,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_130,c_0_131]),c_0_131]),c_0_132])]),c_0_71]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO521+1 : TPTP v8.1.2. Released v7.0.0.
% 0.03/0.12 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n027.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 2400
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Oct 3 07:07:31 EDT 2023
% 0.11/0.32 % 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.U2aqsfXTFx/E---3.1_26737.p
% 549.66/70.25 # Version: 3.1pre001
% 549.66/70.25 # Preprocessing class: FSLSSMSMSSSNFFN.
% 549.66/70.25 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 549.66/70.25 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 549.66/70.25 # Starting new_bool_3 with 300s (1) cores
% 549.66/70.25 # Starting new_bool_1 with 300s (1) cores
% 549.66/70.25 # Starting sh5l with 300s (1) cores
% 549.66/70.25 # new_bool_3 with pid 26815 completed with status 0
% 549.66/70.25 # Result found by new_bool_3
% 549.66/70.25 # Preprocessing class: FSLSSMSMSSSNFFN.
% 549.66/70.25 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 549.66/70.25 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 549.66/70.25 # Starting new_bool_3 with 300s (1) cores
% 549.66/70.25 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 549.66/70.25 # Search class: FGHSM-FSLF32-SFFFFFNN
% 549.66/70.25 # partial match(1): FGHSM-FSLM32-SFFFFFNN
% 549.66/70.25 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 549.66/70.25 # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 127s (1) cores
% 549.66/70.25 # G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with pid 26819 completed with status 0
% 549.66/70.25 # Result found by G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI
% 549.66/70.25 # Preprocessing class: FSLSSMSMSSSNFFN.
% 549.66/70.25 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 549.66/70.25 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 549.66/70.25 # Starting new_bool_3 with 300s (1) cores
% 549.66/70.25 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 549.66/70.25 # Search class: FGHSM-FSLF32-SFFFFFNN
% 549.66/70.25 # partial match(1): FGHSM-FSLM32-SFFFFFNN
% 549.66/70.25 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 549.66/70.25 # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 127s (1) cores
% 549.66/70.25 # Preprocessing time : 0.002 s
% 549.66/70.25
% 549.66/70.25 # Proof found!
% 549.66/70.25 # SZS status Theorem
% 549.66/70.25 # SZS output start CNFRefutation
% See solution above
% 549.66/70.25 # Parsed axioms : 195
% 549.66/70.25 # Removed by relevancy pruning/SinE : 53
% 549.66/70.25 # Initial clauses : 156
% 549.66/70.25 # Removed in clause preprocessing : 0
% 549.66/70.25 # Initial clauses in saturation : 156
% 549.66/70.25 # Processed clauses : 73758
% 549.66/70.25 # ...of these trivial : 372
% 549.66/70.25 # ...subsumed : 53410
% 549.66/70.25 # ...remaining for further processing : 19976
% 549.66/70.25 # Other redundant clauses eliminated : 8
% 549.66/70.25 # Clauses deleted for lack of memory : 0
% 549.66/70.25 # Backward-subsumed : 3371
% 549.66/70.25 # Backward-rewritten : 1657
% 549.66/70.25 # Generated clauses : 2109146
% 549.66/70.25 # ...of the previous two non-redundant : 2039654
% 549.66/70.25 # ...aggressively subsumed : 0
% 549.66/70.25 # Contextual simplify-reflections : 463
% 549.66/70.25 # Paramodulations : 2109112
% 549.66/70.25 # Factorizations : 14
% 549.66/70.25 # NegExts : 0
% 549.66/70.25 # Equation resolutions : 11
% 549.66/70.25 # Total rewrite steps : 176384
% 549.66/70.25 # Propositional unsat checks : 0
% 549.66/70.25 # Propositional check models : 0
% 549.66/70.25 # Propositional check unsatisfiable : 0
% 549.66/70.25 # Propositional clauses : 0
% 549.66/70.25 # Propositional clauses after purity: 0
% 549.66/70.25 # Propositional unsat core size : 0
% 549.66/70.25 # Propositional preprocessing time : 0.000
% 549.66/70.25 # Propositional encoding time : 0.000
% 549.66/70.25 # Propositional solver time : 0.000
% 549.66/70.25 # Success case prop preproc time : 0.000
% 549.66/70.25 # Success case prop encoding time : 0.000
% 549.66/70.25 # Success case prop solver time : 0.000
% 549.66/70.25 # Current number of processed clauses : 14934
% 549.66/70.25 # Positive orientable unit clauses : 263
% 549.66/70.25 # Positive unorientable unit clauses: 0
% 549.66/70.25 # Negative unit clauses : 27
% 549.66/70.25 # Non-unit-clauses : 14644
% 549.66/70.25 # Current number of unprocessed clauses: 1958101
% 549.66/70.25 # ...number of literals in the above : 15341260
% 549.66/70.25 # Current number of archived formulas : 0
% 549.66/70.25 # Current number of archived clauses : 5037
% 549.66/70.25 # Clause-clause subsumption calls (NU) : 67669604
% 549.66/70.25 # Rec. Clause-clause subsumption calls : 4570775
% 549.66/70.25 # Non-unit clause-clause subsumptions : 56864
% 549.66/70.25 # Unit Clause-clause subsumption calls : 276290
% 549.66/70.25 # Rewrite failures with RHS unbound : 0
% 549.66/70.25 # BW rewrite match attempts : 15128
% 549.66/70.25 # BW rewrite match successes : 97
% 549.66/70.25 # Condensation attempts : 0
% 549.66/70.25 # Condensation successes : 0
% 549.66/70.25 # Termbank termtop insertions : 76010970
% 549.66/70.25
% 549.66/70.25 # -------------------------------------------------
% 549.66/70.25 # User time : 66.970 s
% 549.66/70.25 # System time : 1.158 s
% 549.66/70.25 # Total time : 68.128 s
% 549.66/70.25 # Maximum resident set size: 2876 pages
% 549.66/70.25
% 549.66/70.25 # -------------------------------------------------
% 549.66/70.25 # User time : 66.976 s
% 549.66/70.25 # System time : 1.164 s
% 549.66/70.25 # Total time : 68.139 s
% 549.66/70.25 # Maximum resident set size: 2056 pages
% 549.66/70.25 % E---3.1 exiting
%------------------------------------------------------------------------------