TSTP Solution File: GEO525+1 by E-SAT---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : GEO525+1 : TPTP v8.1.2. Released v7.0.0.
% 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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 17:35:09 EDT 2023
% Result : Theorem 1659.72s 230.68s
% Output : CNFRefutation 1659.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 43
% Syntax : Number of formulae : 277 ( 51 unt; 0 def)
% Number of atoms : 720 ( 124 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 763 ( 320 ~; 414 |; 29 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-5 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-4 aty)
% Number of variables : 650 ( 11 sgn; 412 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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.Wn7vBhgV4k/E---3.1_20690.p',aSatz2_2) ).
fof(aSatz10_12b,conjecture,
! [X12,X15,X14,X20] :
( ~ s_r(X12,X15,X14)
| ~ s_r(X20,X15,X14)
| ~ s_e(X12,X15,X20,X15)
| s_e(X12,X14,X20,X14) ),
file('/export/starexec/sandbox/tmp/tmp.Wn7vBhgV4k/E---3.1_20690.p',aSatz10_12b) ).
fof(aSatz2_4,axiom,
! [X12,X15,X14,X17] :
( ~ s_e(X12,X15,X14,X17)
| s_e(X15,X12,X14,X17) ),
file('/export/starexec/sandbox/tmp/tmp.Wn7vBhgV4k/E---3.1_20690.p',aSatz2_4) ).
fof(aSatz2_3,axiom,
! [X12,X15,X14,X17,X18,X19] :
( ~ s_e(X12,X15,X14,X17)
| ~ s_e(X14,X17,X18,X19)
| s_e(X12,X15,X18,X19) ),
file('/export/starexec/sandbox/tmp/tmp.Wn7vBhgV4k/E---3.1_20690.p',aSatz2_3) ).
fof(aA2,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ~ s_e(X1,X2,X3,X4)
| ~ s_e(X1,X2,X5,X6)
| s_e(X3,X4,X5,X6) ),
file('/export/starexec/sandbox/tmp/tmp.Wn7vBhgV4k/E---3.1_20690.p',aA2) ).
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.Wn7vBhgV4k/E---3.1_20690.p',d_Defn7_1) ).
fof(aA1,axiom,
! [X1,X2] : s_e(X1,X2,X2,X1),
file('/export/starexec/sandbox/tmp/tmp.Wn7vBhgV4k/E---3.1_20690.p',aA1) ).
fof(aSatz7_4a,axiom,
! [X13,X12] : s_m(X13,X12,s(X12,X13)),
file('/export/starexec/sandbox/tmp/tmp.Wn7vBhgV4k/E---3.1_20690.p',aSatz7_4a) ).
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.Wn7vBhgV4k/E---3.1_20690.p',aSatz6_4a) ).
fof(aSideReflect,axiom,
! [X12,X15,X14,X29] :
( ~ sameside(X12,X15,X14)
| sameside(s(X29,X12),s(X29,X15),s(X29,X14)) ),
file('/export/starexec/sandbox/tmp/tmp.Wn7vBhgV4k/E---3.1_20690.p',aSideReflect) ).
fof(aSatz4_11c,axiom,
! [X12,X15,X14] :
( ~ s_col(X12,X15,X14)
| s_col(X14,X15,X12) ),
file('/export/starexec/sandbox/tmp/tmp.Wn7vBhgV4k/E---3.1_20690.p',aSatz4_11c) ).
fof(aSatz4_3,axiom,
! [X12,X15,X14,X20,X21,X22] :
( ~ s_t(X12,X15,X14)
| ~ s_t(X20,X21,X22)
| ~ s_e(X12,X14,X20,X22)
| ~ s_e(X15,X14,X21,X22)
| s_e(X12,X15,X20,X21) ),
file('/export/starexec/sandbox/tmp/tmp.Wn7vBhgV4k/E---3.1_20690.p',aSatz4_3) ).
fof(aSatz2_14,axiom,
! [X12,X15,X14,X17] :
( ~ s_e(X12,X15,X14,X17)
| s_e(X15,X12,X17,X14) ),
file('/export/starexec/sandbox/tmp/tmp.Wn7vBhgV4k/E---3.1_20690.p',aSatz2_14) ).
fof(aSatz8_18a,axiom,
! [X12,X15,X14,X13,X16] :
( s_col(X12,X15,X14)
| ~ s_col(X12,X15,X13)
| ~ s_col(X12,X15,X16)
| ~ perp(X12,X15,X14,X13)
| ~ perp(X12,X15,X14,X16)
| X13 = X16 ),
file('/export/starexec/sandbox/tmp/tmp.Wn7vBhgV4k/E---3.1_20690.p',aSatz8_18a) ).
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.Wn7vBhgV4k/E---3.1_20690.p',aSatz8_14a) ).
fof(aSatz8_16b,axiom,
! [X12,X15,X13,X16,X14] :
( X12 = X15
| ~ s_col(X12,X15,X13)
| ~ s_col(X12,X15,X16)
| X16 = X13
| perp(X12,X15,X14,X13)
| s_col(X12,X15,X14)
| ~ s_r(X14,X13,X16) ),
file('/export/starexec/sandbox/tmp/tmp.Wn7vBhgV4k/E---3.1_20690.p',aSatz8_16b) ).
fof(aSatz4_12,axiom,
! [X12,X15] : s_col(X12,X12,X15),
file('/export/starexec/sandbox/tmp/tmp.Wn7vBhgV4k/E---3.1_20690.p',aSatz4_12) ).
fof(aSatz8_2,axiom,
! [X12,X15,X14] :
( ~ s_r(X12,X15,X14)
| s_r(X14,X15,X12) ),
file('/export/starexec/sandbox/tmp/tmp.Wn7vBhgV4k/E---3.1_20690.p',aSatz8_2) ).
fof(aSatz7_7,axiom,
! [X12,X13] : s(X12,s(X12,X13)) = X13,
file('/export/starexec/sandbox/tmp/tmp.Wn7vBhgV4k/E---3.1_20690.p',aSatz7_7) ).
fof(aSatz7_10b,axiom,
! [X12,X13] :
( s(X12,X13) = X13
| X13 != X12 ),
file('/export/starexec/sandbox/tmp/tmp.Wn7vBhgV4k/E---3.1_20690.p',aSatz7_10b) ).
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.Wn7vBhgV4k/E---3.1_20690.p',aSatz6_4b) ).
fof(aSatz4_12b,axiom,
! [X12,X15] : s_col(X12,X15,X12),
file('/export/starexec/sandbox/tmp/tmp.Wn7vBhgV4k/E---3.1_20690.p',aSatz4_12b) ).
fof(aSatz3_3,axiom,
! [X20,X21] : s_t(X20,X20,X21),
file('/export/starexec/sandbox/tmp/tmp.Wn7vBhgV4k/E---3.1_20690.p',aSatz3_3) ).
fof(aSatz7_6,axiom,
! [X13,X12,X16] :
( ~ s_m(X13,X12,X16)
| X16 = s(X12,X13) ),
file('/export/starexec/sandbox/tmp/tmp.Wn7vBhgV4k/E---3.1_20690.p',aSatz7_6) ).
fof(aperp1,axiom,
! [X12,X15,X13,X16] :
( ~ perp(X12,X15,X13,X16)
| perp(X15,X12,X13,X16) ),
file('/export/starexec/sandbox/tmp/tmp.Wn7vBhgV4k/E---3.1_20690.p',aperp1) ).
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.Wn7vBhgV4k/E---3.1_20690.p',aSatz8_18) ).
fof(aSatz3_1,axiom,
! [X12,X15] : s_t(X12,X15,X15),
file('/export/starexec/sandbox/tmp/tmp.Wn7vBhgV4k/E---3.1_20690.p',aSatz3_1) ).
fof(aSatz6_5,axiom,
! [X12,X13] :
( X12 = X13
| sameside(X12,X13,X12) ),
file('/export/starexec/sandbox/tmp/tmp.Wn7vBhgV4k/E---3.1_20690.p',aSatz6_5) ).
fof(aSatz8_12b,axiom,
! [X12,X15,X13,X16] :
( ~ perp(X12,X15,X13,X16)
| perp(X13,X16,X12,X15) ),
file('/export/starexec/sandbox/tmp/tmp.Wn7vBhgV4k/E---3.1_20690.p',aSatz8_12b) ).
fof(aSatz8_15,axiom,
! [X12,X15,X17,X14] :
( X12 = X15
| ~ s_col(X12,X15,X17)
| ~ perp(X12,X15,X14,X17)
| perpAt(X12,X15,X17,X14,X17) ),
file('/export/starexec/sandbox/tmp/tmp.Wn7vBhgV4k/E---3.1_20690.p',aSatz8_15) ).
fof(aSatz8_9,axiom,
! [X12,X15,X14] :
( ~ s_r(X12,X15,X14)
| ~ s_col(X12,X15,X14)
| X12 = X15
| X14 = X15 ),
file('/export/starexec/sandbox/tmp/tmp.Wn7vBhgV4k/E---3.1_20690.p',aSatz8_9) ).
fof(aSatz3_6b,axiom,
! [X12,X15,X14,X17] :
( ~ s_t(X12,X15,X14)
| ~ s_t(X12,X14,X17)
| s_t(X12,X15,X17) ),
file('/export/starexec/sandbox/tmp/tmp.Wn7vBhgV4k/E---3.1_20690.p',aSatz3_6b) ).
fof(aSatz4_11b,axiom,
! [X12,X15,X14] :
( ~ s_col(X12,X15,X14)
| s_col(X14,X12,X15) ),
file('/export/starexec/sandbox/tmp/tmp.Wn7vBhgV4k/E---3.1_20690.p',aSatz4_11b) ).
fof(aSatz2_5,axiom,
! [X12,X15,X14,X17] :
( ~ s_e(X12,X15,X14,X17)
| s_e(X12,X15,X17,X14) ),
file('/export/starexec/sandbox/tmp/tmp.Wn7vBhgV4k/E---3.1_20690.p',aSatz2_5) ).
fof(d_Defn8_11b,axiom,
! [X13,X16,X37,X44,X1] :
( ( ~ perp(X13,X16,X37,X44)
| perpAt(X13,X16,il(X13,X16,X37,X44),X37,X44) )
& ( perp(X13,X16,X37,X44)
| ~ perpAt(X13,X16,X1,X37,X44) ) ),
file('/export/starexec/sandbox/tmp/tmp.Wn7vBhgV4k/E---3.1_20690.p',d_Defn8_11b) ).
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.Wn7vBhgV4k/E---3.1_20690.p',d_Defn8_1) ).
fof(aSatz2_8,axiom,
! [X12,X15] : s_e(X12,X12,X15,X15),
file('/export/starexec/sandbox/tmp/tmp.Wn7vBhgV4k/E---3.1_20690.p',aSatz2_8) ).
fof(aLemma9_13g,axiom,
! [X13,X16,X14,X12,X15] :
( X13 = X16
| ~ perpAt(X13,X16,X14,X12,X14)
| ~ perpAt(X13,X16,X14,X15,X14)
| X12 = X14
| s_col(X14,X12,X15) ),
file('/export/starexec/sandbox/tmp/tmp.Wn7vBhgV4k/E---3.1_20690.p',aLemma9_13g) ).
fof(aSatz8_5,axiom,
! [X12,X15] : s_r(X12,X15,X15),
file('/export/starexec/sandbox/tmp/tmp.Wn7vBhgV4k/E---3.1_20690.p',aSatz8_5) ).
fof(aExtPerp4,axiom,
! [X12,X15,X13,X16] :
( ~ perp(X12,X15,X13,X16)
| perp(X12,X15,X16,X13) ),
file('/export/starexec/sandbox/tmp/tmp.Wn7vBhgV4k/E---3.1_20690.p',aExtPerp4) ).
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.Wn7vBhgV4k/E---3.1_20690.p',d_Defn4_10) ).
fof(aSatz3_2,axiom,
! [X12,X15,X14] :
( ~ s_t(X12,X15,X14)
| s_t(X14,X15,X12) ),
file('/export/starexec/sandbox/tmp/tmp.Wn7vBhgV4k/E---3.1_20690.p',aSatz3_2) ).
fof(aNarbouxLemma1,axiom,
! [X12,X15,X14] :
( ~ s_t(X12,X15,X14)
| ~ s_e(X12,X14,X12,X15)
| X14 = X15 ),
file('/export/starexec/sandbox/tmp/tmp.Wn7vBhgV4k/E---3.1_20690.p',aNarbouxLemma1) ).
fof(c_0_43,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_44,negated_conjecture,
~ ! [X12,X15,X14,X20] :
( ~ s_r(X12,X15,X14)
| ~ s_r(X20,X15,X14)
| ~ s_e(X12,X15,X20,X15)
| s_e(X12,X14,X20,X14) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[aSatz10_12b])]) ).
fof(c_0_45,plain,
! [X12,X15,X14,X17] :
( ~ s_e(X12,X15,X14,X17)
| s_e(X15,X12,X14,X17) ),
inference(fof_simplification,[status(thm)],[aSatz2_4]) ).
fof(c_0_46,plain,
! [X72,X73,X74,X75] :
( ~ s_e(X72,X73,X74,X75)
| s_e(X74,X75,X72,X73) ),
inference(variable_rename,[status(thm)],[c_0_43]) ).
fof(c_0_47,negated_conjecture,
( s_r(esk1_0,esk2_0,esk3_0)
& s_r(esk4_0,esk2_0,esk3_0)
& s_e(esk1_0,esk2_0,esk4_0,esk2_0)
& ~ s_e(esk1_0,esk3_0,esk4_0,esk3_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_44])])]) ).
fof(c_0_48,plain,
! [X12,X15,X14,X17,X18,X19] :
( ~ s_e(X12,X15,X14,X17)
| ~ s_e(X14,X17,X18,X19)
| s_e(X12,X15,X18,X19) ),
inference(fof_simplification,[status(thm)],[aSatz2_3]) ).
fof(c_0_49,plain,
! [X82,X83,X84,X85] :
( ~ s_e(X82,X83,X84,X85)
| s_e(X83,X82,X84,X85) ),
inference(variable_rename,[status(thm)],[c_0_45]) ).
cnf(c_0_50,plain,
( s_e(X3,X4,X1,X2)
| ~ s_e(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_51,negated_conjecture,
s_e(esk1_0,esk2_0,esk4_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
fof(c_0_52,plain,
! [X1,X2,X3,X4,X5,X6] :
( ~ s_e(X1,X2,X3,X4)
| ~ s_e(X1,X2,X5,X6)
| s_e(X3,X4,X5,X6) ),
inference(fof_simplification,[status(thm)],[aA2]) ).
fof(c_0_53,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_54,plain,
! [X76,X77,X78,X79,X80,X81] :
( ~ s_e(X76,X77,X78,X79)
| ~ s_e(X78,X79,X80,X81)
| s_e(X76,X77,X80,X81) ),
inference(variable_rename,[status(thm)],[c_0_48]) ).
cnf(c_0_55,plain,
( s_e(X2,X1,X3,X4)
| ~ s_e(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_56,negated_conjecture,
s_e(esk4_0,esk2_0,esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
fof(c_0_57,plain,
! [X53,X54,X55,X56,X57,X58] :
( ~ s_e(X53,X54,X55,X56)
| ~ s_e(X53,X54,X57,X58)
| s_e(X55,X56,X57,X58) ),
inference(variable_rename,[status(thm)],[c_0_52]) ).
fof(c_0_58,plain,
! [X51,X52] : s_e(X51,X52,X52,X51),
inference(variable_rename,[status(thm)],[aA1]) ).
fof(c_0_59,plain,
! [X190,X191,X192] :
( ( ~ s_m(X190,X191,X192)
| s_t(X190,X191,X192) )
& ( ~ s_m(X190,X191,X192)
| s_e(X191,X190,X191,X192) )
& ( ~ s_t(X190,X191,X192)
| ~ s_e(X191,X190,X191,X192)
| s_m(X190,X191,X192) ) ),
inference(variable_rename,[status(thm)],[c_0_53]) ).
fof(c_0_60,plain,
! [X551,X552] : s_m(X551,X552,s(X552,X551)),
inference(variable_rename,[status(thm)],[aSatz7_4a]) ).
fof(c_0_61,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]) ).
fof(c_0_62,plain,
! [X12,X15,X14,X29] :
( ~ sameside(X12,X15,X14)
| sameside(s(X29,X12),s(X29,X15),s(X29,X14)) ),
inference(fof_simplification,[status(thm)],[aSideReflect]) ).
fof(c_0_63,plain,
! [X12,X15,X14] :
( ~ s_col(X12,X15,X14)
| s_col(X14,X15,X12) ),
inference(fof_simplification,[status(thm)],[aSatz4_11c]) ).
fof(c_0_64,plain,
! [X12,X15,X14,X20,X21,X22] :
( ~ s_t(X12,X15,X14)
| ~ s_t(X20,X21,X22)
| ~ s_e(X12,X14,X20,X22)
| ~ s_e(X15,X14,X21,X22)
| s_e(X12,X15,X20,X21) ),
inference(fof_simplification,[status(thm)],[aSatz4_3]) ).
cnf(c_0_65,plain,
( s_e(X1,X2,X5,X6)
| ~ s_e(X1,X2,X3,X4)
| ~ s_e(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_66,negated_conjecture,
s_e(esk2_0,esk4_0,esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_67,plain,
( s_e(X3,X4,X5,X6)
| ~ s_e(X1,X2,X3,X4)
| ~ s_e(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_68,plain,
s_e(X1,X2,X2,X1),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_69,plain,
( s_e(X2,X1,X2,X3)
| ~ s_m(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_70,plain,
s_m(X1,X2,s(X2,X1)),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
fof(c_0_71,plain,
! [X320,X321,X322] :
( ( ~ sameside(X320,X321,X322)
| s_col(X320,X321,X322) )
& ( ~ sameside(X320,X321,X322)
| ~ s_t(X320,X321,X322) ) ),
inference(variable_rename,[status(thm)],[c_0_61]) ).
fof(c_0_72,plain,
! [X537,X538,X539,X540] :
( ~ sameside(X537,X538,X539)
| sameside(s(X540,X537),s(X540,X538),s(X540,X539)) ),
inference(variable_rename,[status(thm)],[c_0_62]) ).
fof(c_0_73,plain,
! [X12,X15,X14,X17] :
( ~ s_e(X12,X15,X14,X17)
| s_e(X15,X12,X17,X14) ),
inference(fof_simplification,[status(thm)],[aSatz2_14]) ).
fof(c_0_74,plain,
! [X12,X15,X14,X13,X16] :
( s_col(X12,X15,X14)
| ~ s_col(X12,X15,X13)
| ~ s_col(X12,X15,X16)
| ~ perp(X12,X15,X14,X13)
| ~ perp(X12,X15,X14,X16)
| X13 = X16 ),
inference(fof_simplification,[status(thm)],[aSatz8_18a]) ).
fof(c_0_75,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_76,plain,
! [X12,X15,X13,X16,X14] :
( X12 = X15
| ~ s_col(X12,X15,X13)
| ~ s_col(X12,X15,X16)
| X16 = X13
| perp(X12,X15,X14,X13)
| s_col(X12,X15,X14)
| ~ s_r(X14,X13,X16) ),
inference(fof_simplification,[status(thm)],[aSatz8_16b]) ).
fof(c_0_77,plain,
! [X381,X382,X383] :
( ~ s_col(X381,X382,X383)
| s_col(X383,X382,X381) ),
inference(variable_rename,[status(thm)],[c_0_63]) ).
fof(c_0_78,plain,
! [X390,X391] : s_col(X390,X390,X391),
inference(variable_rename,[status(thm)],[aSatz4_12]) ).
fof(c_0_79,plain,
! [X12,X15,X14] :
( ~ s_r(X12,X15,X14)
| s_r(X14,X15,X12) ),
inference(fof_simplification,[status(thm)],[aSatz8_2]) ).
fof(c_0_80,plain,
! [X111,X112,X113,X114,X115,X116] :
( ~ s_t(X111,X112,X113)
| ~ s_t(X114,X115,X116)
| ~ s_e(X111,X113,X114,X116)
| ~ s_e(X112,X113,X115,X116)
| s_e(X111,X112,X114,X115) ),
inference(variable_rename,[status(thm)],[c_0_64]) ).
cnf(c_0_81,negated_conjecture,
( s_e(X1,X2,esk1_0,esk2_0)
| ~ s_e(X1,X2,esk2_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_82,plain,
( s_e(X1,X2,X3,X4)
| ~ s_e(X4,X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_83,plain,
s_e(X1,X2,X1,s(X1,X2)),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_84,plain,
( ~ sameside(X1,X2,X3)
| ~ s_t(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_85,plain,
( sameside(s(X4,X1),s(X4,X2),s(X4,X3))
| ~ sameside(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
fof(c_0_86,plain,
! [X556,X557] : s(X556,s(X556,X557)) = X557,
inference(variable_rename,[status(thm)],[aSatz7_7]) ).
fof(c_0_87,plain,
! [X567,X568] :
( s(X567,X568) = X568
| X568 != X567 ),
inference(variable_rename,[status(thm)],[aSatz7_10b]) ).
fof(c_0_88,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_89,plain,
! [X101,X102,X103,X104] :
( ~ s_e(X101,X102,X103,X104)
| s_e(X102,X101,X104,X103) ),
inference(variable_rename,[status(thm)],[c_0_73]) ).
fof(c_0_90,plain,
! [X419,X420,X421,X422,X423] :
( s_col(X419,X420,X421)
| ~ s_col(X419,X420,X422)
| ~ s_col(X419,X420,X423)
| ~ perp(X419,X420,X421,X422)
| ~ perp(X419,X420,X421,X423)
| X422 = X423 ),
inference(variable_rename,[status(thm)],[c_0_74]) ).
fof(c_0_91,plain,
! [X415,X416,X417,X418] :
( ~ perp(X415,X416,X417,X418)
| ~ s_col(X415,X416,X417)
| ~ s_col(X415,X416,X418) ),
inference(variable_rename,[status(thm)],[c_0_75]) ).
fof(c_0_92,plain,
! [X238,X239,X240,X241,X242] :
( X238 = X239
| ~ s_col(X238,X239,X240)
| ~ s_col(X238,X239,X241)
| X241 = X240
| perp(X238,X239,X242,X240)
| s_col(X238,X239,X242)
| ~ s_r(X242,X240,X241) ),
inference(variable_rename,[status(thm)],[c_0_76]) ).
fof(c_0_93,plain,
! [X392,X393] : s_col(X392,X393,X392),
inference(variable_rename,[status(thm)],[aSatz4_12b]) ).
cnf(c_0_94,plain,
( s_col(X3,X2,X1)
| ~ s_col(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_95,plain,
s_col(X1,X1,X2),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
fof(c_0_96,plain,
! [X196,X197,X198] :
( ~ s_r(X196,X197,X198)
| s_r(X198,X197,X196) ),
inference(variable_rename,[status(thm)],[c_0_79]) ).
cnf(c_0_97,plain,
( s_e(X1,X2,X4,X5)
| ~ s_t(X1,X2,X3)
| ~ s_t(X4,X5,X6)
| ~ s_e(X1,X3,X4,X6)
| ~ s_e(X2,X3,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_98,negated_conjecture,
( s_e(esk1_0,esk2_0,X1,X2)
| ~ s_e(X1,X2,esk2_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_50,c_0_81]) ).
cnf(c_0_99,plain,
s_e(X1,s(X1,X2),X2,X1),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
fof(c_0_100,plain,
! [X258,X259] : s_t(X258,X258,X259),
inference(variable_rename,[status(thm)],[aSatz3_3]) ).
cnf(c_0_101,negated_conjecture,
( s_e(X1,X2,esk4_0,esk2_0)
| ~ s_e(esk1_0,esk2_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_67,c_0_51]) ).
cnf(c_0_102,plain,
( ~ sameside(X1,X2,X3)
| ~ s_t(s(X4,X1),s(X4,X2),s(X4,X3)) ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_103,plain,
s(X1,s(X1,X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_104,plain,
( s(X1,X2) = X2
| X2 != X1 ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
fof(c_0_105,plain,
! [X323,X324,X325] :
( sameside(X323,X324,X325)
| ~ s_col(X323,X324,X325)
| s_t(X323,X324,X325) ),
inference(variable_rename,[status(thm)],[c_0_88]) ).
fof(c_0_106,plain,
! [X13,X12,X16] :
( ~ s_m(X13,X12,X16)
| X16 = s(X12,X13) ),
inference(fof_simplification,[status(thm)],[aSatz7_6]) ).
cnf(c_0_107,plain,
( s_e(X2,X1,X4,X3)
| ~ s_e(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
fof(c_0_108,plain,
! [X12,X15,X13,X16] :
( ~ perp(X12,X15,X13,X16)
| perp(X15,X12,X13,X16) ),
inference(fof_simplification,[status(thm)],[aperp1]) ).
cnf(c_0_109,plain,
( s_col(X1,X2,X3)
| X4 = X5
| ~ s_col(X1,X2,X4)
| ~ s_col(X1,X2,X5)
| ~ perp(X1,X2,X3,X4)
| ~ perp(X1,X2,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_110,plain,
( ~ perp(X1,X2,X3,X4)
| ~ s_col(X1,X2,X3)
| ~ s_col(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
fof(c_0_111,plain,
! [X746,X747,X748] :
( ( s_col(X746,X747,X748)
| s_col(X746,X747,foot(X746,X747,X748)) )
& ( s_col(X746,X747,X748)
| perp(X746,X747,X748,foot(X746,X747,X748)) ) ),
inference(variable_rename,[status(thm)],[aSatz8_18]) ).
cnf(c_0_112,plain,
( X1 = X2
| X4 = X3
| perp(X1,X2,X5,X3)
| s_col(X1,X2,X5)
| ~ s_col(X1,X2,X3)
| ~ s_col(X1,X2,X4)
| ~ s_r(X5,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_113,plain,
s_col(X1,X2,X1),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_114,plain,
s_col(X1,X2,X2),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_115,plain,
( s_r(X3,X2,X1)
| ~ s_r(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_116,negated_conjecture,
s_r(esk1_0,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_117,plain,
( s_e(X1,X2,X3,X2)
| ~ s_t(X3,X2,s(X2,X4))
| ~ s_t(X1,X2,X4)
| ~ s_e(X1,X4,X3,s(X2,X4)) ),
inference(spm,[status(thm)],[c_0_97,c_0_83]) ).
cnf(c_0_118,negated_conjecture,
s_e(esk1_0,esk2_0,esk4_0,s(esk4_0,esk2_0)),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_119,plain,
s_t(X1,X1,X2),
inference(split_conjunct,[status(thm)],[c_0_100]) ).
cnf(c_0_120,negated_conjecture,
s_e(esk1_0,s(esk1_0,esk2_0),esk4_0,esk2_0),
inference(spm,[status(thm)],[c_0_101,c_0_83]) ).
cnf(c_0_121,plain,
( ~ sameside(X1,X2,s(X3,X4))
| ~ s_t(s(X3,X1),s(X3,X2),X4) ),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_122,plain,
s(X1,X1) = X1,
inference(er,[status(thm)],[c_0_104]) ).
cnf(c_0_123,plain,
( sameside(X1,X2,X3)
| s_t(X1,X2,X3)
| ~ s_col(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
fof(c_0_124,plain,
! [X553,X554,X555] :
( ~ s_m(X553,X554,X555)
| X555 = s(X554,X553) ),
inference(variable_rename,[status(thm)],[c_0_106]) ).
cnf(c_0_125,plain,
( s_m(X1,X2,X3)
| ~ s_t(X1,X2,X3)
| ~ s_e(X2,X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_126,negated_conjecture,
s_e(esk2_0,esk1_0,esk2_0,esk4_0),
inference(spm,[status(thm)],[c_0_107,c_0_51]) ).
fof(c_0_127,plain,
! [X661,X662,X663,X664] :
( ~ perp(X661,X662,X663,X664)
| perp(X662,X661,X663,X664) ),
inference(variable_rename,[status(thm)],[c_0_108]) ).
cnf(c_0_128,plain,
( X1 = X2
| ~ perp(X3,X4,X5,X2)
| ~ perp(X3,X4,X5,X1)
| ~ s_col(X3,X4,X2)
| ~ s_col(X3,X4,X1) ),
inference(csr,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_129,plain,
( s_col(X1,X2,X3)
| perp(X1,X2,X3,foot(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
cnf(c_0_130,plain,
( s_col(X1,X2,X3)
| s_col(X1,X2,foot(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
cnf(c_0_131,plain,
( X1 = X2
| perp(X1,X2,X3,X1)
| s_col(X1,X2,X3)
| ~ s_r(X3,X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(ef,[status(thm)],[c_0_112]),c_0_113])])]),c_0_114])]) ).
cnf(c_0_132,negated_conjecture,
s_r(esk3_0,esk2_0,esk1_0),
inference(spm,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_133,negated_conjecture,
( s_e(esk1_0,esk4_0,esk4_0,esk4_0)
| ~ s_t(esk1_0,esk4_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_119])]) ).
fof(c_0_134,plain,
! [X253,X254] : s_t(X253,X254,X254),
inference(variable_rename,[status(thm)],[aSatz3_1]) ).
cnf(c_0_135,negated_conjecture,
s_e(esk4_0,esk2_0,esk1_0,s(esk1_0,esk2_0)),
inference(spm,[status(thm)],[c_0_50,c_0_120]) ).
fof(c_0_136,plain,
! [X528,X529] :
( X528 = X529
| sameside(X528,X529,X528) ),
inference(variable_rename,[status(thm)],[aSatz6_5]) ).
cnf(c_0_137,plain,
( ~ sameside(X1,X2,s(X2,X3))
| ~ s_t(s(X2,X1),X2,X3) ),
inference(spm,[status(thm)],[c_0_121,c_0_122]) ).
cnf(c_0_138,plain,
( sameside(X1,X2,X1)
| s_t(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_123,c_0_113]) ).
cnf(c_0_139,plain,
( X3 = s(X2,X1)
| ~ s_m(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_124]) ).
cnf(c_0_140,negated_conjecture,
( s_m(esk1_0,esk2_0,esk4_0)
| ~ s_t(esk1_0,esk2_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_125,c_0_126]) ).
fof(c_0_141,plain,
! [X12,X15,X13,X16] :
( ~ perp(X12,X15,X13,X16)
| perp(X13,X16,X12,X15) ),
inference(fof_simplification,[status(thm)],[aSatz8_12b]) ).
cnf(c_0_142,plain,
( perp(X2,X1,X3,X4)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_127]) ).
cnf(c_0_143,plain,
( X1 = foot(X2,X3,X4)
| ~ perp(X2,X3,X4,X1)
| ~ s_col(X2,X3,X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_130]),c_0_110]) ).
cnf(c_0_144,negated_conjecture,
( esk1_0 = esk2_0
| perp(esk2_0,esk1_0,esk3_0,esk2_0)
| s_col(esk2_0,esk1_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_131,c_0_132]) ).
cnf(c_0_145,negated_conjecture,
( s_e(esk4_0,esk1_0,esk4_0,esk4_0)
| ~ s_t(esk1_0,esk4_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_55,c_0_133]) ).
cnf(c_0_146,plain,
s_t(X1,X2,X2),
inference(split_conjunct,[status(thm)],[c_0_134]) ).
cnf(c_0_147,negated_conjecture,
( s_e(esk4_0,esk1_0,esk1_0,esk1_0)
| ~ s_t(esk4_0,esk1_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_135]),c_0_119])]) ).
cnf(c_0_148,plain,
( X1 = X2
| sameside(X1,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_136]) ).
cnf(c_0_149,plain,
( s_t(s(X1,X2),X1,s(X1,X2))
| ~ s_t(X2,X1,X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_103]) ).
cnf(c_0_150,negated_conjecture,
( s(esk2_0,esk1_0) = esk4_0
| ~ s_t(esk1_0,esk2_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_139,c_0_140]) ).
cnf(c_0_151,negated_conjecture,
s_r(esk4_0,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
fof(c_0_152,plain,
! [X12,X15,X17,X14] :
( X12 = X15
| ~ s_col(X12,X15,X17)
| ~ perp(X12,X15,X14,X17)
| perpAt(X12,X15,X17,X14,X17) ),
inference(fof_simplification,[status(thm)],[aSatz8_15]) ).
fof(c_0_153,plain,
! [X657,X658,X659,X660] :
( ~ perp(X657,X658,X659,X660)
| perp(X659,X660,X657,X658) ),
inference(variable_rename,[status(thm)],[c_0_141]) ).
cnf(c_0_154,plain,
( perp(X1,X2,X3,foot(X2,X1,X3))
| s_col(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_142,c_0_129]) ).
cnf(c_0_155,negated_conjecture,
( foot(esk2_0,esk1_0,esk3_0) = esk2_0
| esk1_0 = esk2_0
| s_col(esk2_0,esk1_0,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_113])]) ).
fof(c_0_156,plain,
! [X12,X15,X14] :
( ~ s_r(X12,X15,X14)
| ~ s_col(X12,X15,X14)
| X12 = X15
| X14 = X15 ),
inference(fof_simplification,[status(thm)],[aSatz8_9]) ).
fof(c_0_157,plain,
! [X12,X15,X14,X17] :
( ~ s_t(X12,X15,X14)
| ~ s_t(X12,X14,X17)
| s_t(X12,X15,X17) ),
inference(fof_simplification,[status(thm)],[aSatz3_6b]) ).
cnf(c_0_158,plain,
( ~ sameside(X1,X2,X3)
| ~ s_t(s(X3,X1),s(X3,X2),X3) ),
inference(spm,[status(thm)],[c_0_102,c_0_122]) ).
cnf(c_0_159,negated_conjecture,
( s_m(esk1_0,esk4_0,esk4_0)
| ~ s_t(esk1_0,esk4_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_145]),c_0_146])]) ).
cnf(c_0_160,negated_conjecture,
( s_e(esk1_0,esk4_0,esk1_0,esk1_0)
| ~ s_t(esk4_0,esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_55,c_0_147]) ).
cnf(c_0_161,plain,
( s(X1,X2) = X1
| ~ s_t(X2,X1,X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_148]),c_0_103]) ).
cnf(c_0_162,negated_conjecture,
( s_t(esk4_0,esk2_0,esk4_0)
| ~ s_t(esk1_0,esk2_0,esk1_0)
| ~ s_t(esk1_0,esk2_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_149,c_0_150]) ).
cnf(c_0_163,negated_conjecture,
( esk3_0 = esk2_0
| perp(esk2_0,esk3_0,esk4_0,esk2_0)
| s_col(esk2_0,esk3_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_131,c_0_151]) ).
fof(c_0_164,plain,
! [X636,X637,X638,X639] :
( X636 = X637
| ~ s_col(X636,X637,X638)
| ~ perp(X636,X637,X639,X638)
| perpAt(X636,X637,X638,X639,X638) ),
inference(variable_rename,[status(thm)],[c_0_152]) ).
cnf(c_0_165,plain,
( perp(X3,X4,X1,X2)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_153]) ).
cnf(c_0_166,negated_conjecture,
( esk1_0 = esk2_0
| perp(esk1_0,esk2_0,esk3_0,esk2_0)
| s_col(esk2_0,esk1_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_154,c_0_155]) ).
fof(c_0_167,plain,
! [X12,X15,X14] :
( ~ s_col(X12,X15,X14)
| s_col(X14,X12,X15) ),
inference(fof_simplification,[status(thm)],[aSatz4_11b]) ).
fof(c_0_168,plain,
! [X217,X218,X219] :
( ~ s_r(X217,X218,X219)
| ~ s_col(X217,X218,X219)
| X217 = X218
| X219 = X218 ),
inference(variable_rename,[status(thm)],[c_0_156]) ).
fof(c_0_169,plain,
! [X279,X280,X281,X282] :
( ~ s_t(X279,X280,X281)
| ~ s_t(X279,X281,X282)
| s_t(X279,X280,X282) ),
inference(variable_rename,[status(thm)],[c_0_157]) ).
cnf(c_0_170,plain,
( ~ sameside(X1,X2,X1)
| ~ s_t(X1,s(X1,X2),X1) ),
inference(spm,[status(thm)],[c_0_158,c_0_122]) ).
cnf(c_0_171,negated_conjecture,
( s(esk4_0,esk1_0) = esk4_0
| ~ s_t(esk1_0,esk4_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_139,c_0_159]) ).
cnf(c_0_172,negated_conjecture,
( s_m(esk4_0,esk1_0,esk1_0)
| ~ s_t(esk4_0,esk1_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_160]),c_0_146])]) ).
fof(c_0_173,plain,
! [X12,X15,X14,X17] :
( ~ s_e(X12,X15,X14,X17)
| s_e(X12,X15,X17,X14) ),
inference(fof_simplification,[status(thm)],[aSatz2_5]) ).
cnf(c_0_174,negated_conjecture,
( s(esk2_0,esk4_0) = esk2_0
| ~ s_t(esk1_0,esk2_0,esk1_0)
| ~ s_t(esk1_0,esk2_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_161,c_0_162]) ).
cnf(c_0_175,negated_conjecture,
( foot(esk2_0,esk3_0,esk4_0) = esk2_0
| esk3_0 = esk2_0
| s_col(esk2_0,esk3_0,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_163]),c_0_113])]) ).
fof(c_0_176,plain,
! [X13,X16,X37,X44,X1] :
( ( ~ perp(X13,X16,X37,X44)
| perpAt(X13,X16,il(X13,X16,X37,X44),X37,X44) )
& ( perp(X13,X16,X37,X44)
| ~ perpAt(X13,X16,X1,X37,X44) ) ),
inference(fof_simplification,[status(thm)],[d_Defn8_11b]) ).
cnf(c_0_177,plain,
( X1 = X2
| perpAt(X1,X2,X3,X4,X3)
| ~ s_col(X1,X2,X3)
| ~ perp(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_164]) ).
cnf(c_0_178,negated_conjecture,
( esk1_0 = esk2_0
| perp(esk3_0,esk2_0,esk1_0,esk2_0)
| s_col(esk2_0,esk1_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_165,c_0_166]) ).
fof(c_0_179,plain,
! [X378,X379,X380] :
( ~ s_col(X378,X379,X380)
| s_col(X380,X378,X379) ),
inference(variable_rename,[status(thm)],[c_0_167]) ).
cnf(c_0_180,plain,
( X1 = X2
| X3 = X2
| ~ s_r(X1,X2,X3)
| ~ s_col(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_168]) ).
fof(c_0_181,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_182,plain,
( s_t(X1,X2,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_169]) ).
cnf(c_0_183,negated_conjecture,
( ~ sameside(esk4_0,esk1_0,esk4_0)
| ~ s_t(esk1_0,esk4_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_171]),c_0_119])]) ).
cnf(c_0_184,plain,
( ~ sameside(X1,X2,X3)
| ~ s_t(s(X2,X1),X2,s(X2,X3)) ),
inference(spm,[status(thm)],[c_0_102,c_0_122]) ).
cnf(c_0_185,negated_conjecture,
( s(esk1_0,esk4_0) = esk1_0
| ~ s_t(esk4_0,esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_139,c_0_172]) ).
fof(c_0_186,plain,
! [X90,X91] : s_e(X90,X90,X91,X91),
inference(variable_rename,[status(thm)],[aSatz2_8]) ).
fof(c_0_187,plain,
! [X86,X87,X88,X89] :
( ~ s_e(X86,X87,X88,X89)
| s_e(X86,X87,X89,X88) ),
inference(variable_rename,[status(thm)],[c_0_173]) ).
cnf(c_0_188,negated_conjecture,
( s_e(esk2_0,esk4_0,esk2_0,esk2_0)
| ~ s_t(esk1_0,esk2_0,esk1_0)
| ~ s_t(esk1_0,esk2_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_83,c_0_174]) ).
cnf(c_0_189,negated_conjecture,
( esk3_0 = esk2_0
| perp(esk3_0,esk2_0,esk4_0,esk2_0)
| s_col(esk2_0,esk3_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_154,c_0_175]) ).
fof(c_0_190,plain,
! [X652,X653,X654,X655,X656] :
( ( ~ perp(X652,X653,X654,X655)
| perpAt(X652,X653,il(X652,X653,X654,X655),X654,X655) )
& ( perp(X652,X653,X654,X655)
| ~ perpAt(X652,X653,X656,X654,X655) ) ),
inference(variable_rename,[status(thm)],[c_0_176]) ).
cnf(c_0_191,plain,
( X1 = X2
| perpAt(X1,X2,foot(X1,X2,X3),X3,foot(X1,X2,X3))
| s_col(X1,X2,X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_129]),c_0_130]) ).
cnf(c_0_192,negated_conjecture,
( foot(esk3_0,esk2_0,esk1_0) = esk2_0
| esk1_0 = esk2_0
| s_col(esk2_0,esk1_0,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_178]),c_0_114])]) ).
cnf(c_0_193,plain,
( s_col(X3,X1,X2)
| ~ s_col(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_179]) ).
cnf(c_0_194,negated_conjecture,
( esk1_0 = esk2_0
| esk3_0 = esk2_0
| ~ s_col(esk3_0,esk2_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_180,c_0_132]) ).
fof(c_0_195,plain,
! [X193,X194,X195] :
( ( ~ s_r(X193,X194,X195)
| s_e(X193,X195,X193,s(X194,X195)) )
& ( s_r(X193,X194,X195)
| ~ s_e(X193,X195,X193,s(X194,X195)) ) ),
inference(variable_rename,[status(thm)],[c_0_181]) ).
cnf(c_0_196,plain,
( s_t(X1,X2,X3)
| ~ s_t(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_182,c_0_119]) ).
cnf(c_0_197,negated_conjecture,
( s_t(esk4_0,esk1_0,esk4_0)
| ~ s_t(esk1_0,esk4_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_183,c_0_138]) ).
cnf(c_0_198,plain,
( ~ sameside(X1,s(X2,X3),X2)
| ~ s_t(s(X2,X1),X3,X2) ),
inference(spm,[status(thm)],[c_0_158,c_0_103]) ).
cnf(c_0_199,negated_conjecture,
( ~ sameside(X1,esk1_0,esk4_0)
| ~ s_t(esk4_0,esk1_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_185]),c_0_146])]) ).
cnf(c_0_200,plain,
s_e(X1,X1,X2,X2),
inference(split_conjunct,[status(thm)],[c_0_186]) ).
cnf(c_0_201,plain,
( s_e(X1,X2,X4,X3)
| ~ s_e(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_187]) ).
cnf(c_0_202,negated_conjecture,
( s_e(esk2_0,esk2_0,esk2_0,esk4_0)
| ~ s_t(esk1_0,esk2_0,esk1_0)
| ~ s_t(esk1_0,esk2_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_50,c_0_188]) ).
cnf(c_0_203,negated_conjecture,
( esk3_0 = esk2_0
| perp(esk4_0,esk2_0,esk3_0,esk2_0)
| s_col(esk2_0,esk3_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_165,c_0_189]) ).
fof(c_0_204,plain,
! [X13,X16,X14,X12,X15] :
( X13 = X16
| ~ perpAt(X13,X16,X14,X12,X14)
| ~ perpAt(X13,X16,X14,X15,X14)
| X12 = X14
| s_col(X14,X12,X15) ),
inference(fof_simplification,[status(thm)],[aLemma9_13g]) ).
cnf(c_0_205,plain,
( perp(X1,X2,X3,X4)
| ~ perpAt(X1,X2,X5,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_190]) ).
cnf(c_0_206,negated_conjecture,
( esk1_0 = esk2_0
| esk3_0 = esk2_0
| perpAt(esk3_0,esk2_0,esk2_0,esk1_0,esk2_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_192]),c_0_193]),c_0_194]) ).
cnf(c_0_207,plain,
( s_e(X1,X3,X1,s(X2,X3))
| ~ s_r(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_195]) ).
cnf(c_0_208,negated_conjecture,
( s_t(esk4_0,esk1_0,X1)
| ~ s_t(esk1_0,esk4_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_196,c_0_197]) ).
fof(c_0_209,plain,
! [X206,X207] : s_r(X206,X207,X207),
inference(variable_rename,[status(thm)],[aSatz8_5]) ).
cnf(c_0_210,negated_conjecture,
s_e(esk2_0,esk4_0,esk2_0,esk1_0),
inference(spm,[status(thm)],[c_0_107,c_0_56]) ).
cnf(c_0_211,plain,
( s(X1,X2) = X1
| ~ s_t(X1,X2,X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_148]),c_0_122]) ).
cnf(c_0_212,negated_conjecture,
( s_t(esk4_0,esk1_0,esk4_0)
| ~ s_t(esk4_0,esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_199,c_0_138]) ).
cnf(c_0_213,plain,
( s_e(X1,X2,X3,X3)
| ~ s_e(X4,X4,X1,X2) ),
inference(spm,[status(thm)],[c_0_67,c_0_200]) ).
cnf(c_0_214,negated_conjecture,
( s_e(esk2_0,esk2_0,esk4_0,esk2_0)
| ~ s_t(esk1_0,esk2_0,esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_202]),c_0_196]) ).
fof(c_0_215,plain,
! [X12,X15,X13,X16] :
( ~ perp(X12,X15,X13,X16)
| perp(X12,X15,X16,X13) ),
inference(fof_simplification,[status(thm)],[aExtPerp4]) ).
cnf(c_0_216,negated_conjecture,
( foot(esk4_0,esk2_0,esk3_0) = esk2_0
| esk3_0 = esk2_0
| s_col(esk2_0,esk3_0,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_203]),c_0_114])]) ).
cnf(c_0_217,negated_conjecture,
( esk3_0 = esk2_0
| esk4_0 = esk2_0
| ~ s_col(esk4_0,esk2_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_180,c_0_151]) ).
fof(c_0_218,plain,
! [X647,X648,X649,X650,X651] :
( X647 = X648
| ~ perpAt(X647,X648,X649,X650,X649)
| ~ perpAt(X647,X648,X649,X651,X649)
| X650 = X649
| s_col(X649,X650,X651) ),
inference(variable_rename,[status(thm)],[c_0_204]) ).
cnf(c_0_219,negated_conjecture,
( esk3_0 = esk2_0
| perp(esk2_0,esk3_0,esk1_0,esk2_0)
| s_col(esk2_0,esk3_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_131,c_0_116]) ).
cnf(c_0_220,negated_conjecture,
( esk3_0 = esk2_0
| esk1_0 = esk2_0
| perp(esk3_0,esk2_0,esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_205,c_0_206]) ).
cnf(c_0_221,plain,
( s_e(X1,s(X2,X3),X1,X3)
| ~ s_r(X1,X2,s(X2,X3)) ),
inference(spm,[status(thm)],[c_0_207,c_0_103]) ).
cnf(c_0_222,negated_conjecture,
( s(esk1_0,esk4_0) = esk1_0
| ~ s_t(esk1_0,esk4_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_161,c_0_208]) ).
cnf(c_0_223,plain,
s_r(X1,X2,X2),
inference(split_conjunct,[status(thm)],[c_0_209]) ).
cnf(c_0_224,negated_conjecture,
( s_m(esk4_0,esk2_0,esk1_0)
| ~ s_t(esk4_0,esk2_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_125,c_0_210]) ).
cnf(c_0_225,negated_conjecture,
( s(esk4_0,esk1_0) = esk4_0
| ~ s_t(esk4_0,esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_211,c_0_212]) ).
cnf(c_0_226,negated_conjecture,
( s_e(esk4_0,esk2_0,X1,X1)
| ~ s_t(esk1_0,esk2_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_213,c_0_214]) ).
fof(c_0_227,plain,
! [X665,X666,X667,X668] :
( ~ perp(X665,X666,X667,X668)
| perp(X665,X666,X668,X667) ),
inference(variable_rename,[status(thm)],[c_0_215]) ).
cnf(c_0_228,negated_conjecture,
( esk3_0 = esk2_0
| esk4_0 = esk2_0
| perpAt(esk4_0,esk2_0,esk2_0,esk3_0,esk2_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_216]),c_0_193]),c_0_217]) ).
fof(c_0_229,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]) ).
cnf(c_0_230,plain,
( X1 = X2
| X4 = X3
| s_col(X3,X4,X5)
| ~ perpAt(X1,X2,X3,X4,X3)
| ~ perpAt(X1,X2,X3,X5,X3) ),
inference(split_conjunct,[status(thm)],[c_0_218]) ).
cnf(c_0_231,negated_conjecture,
( esk3_0 = esk2_0
| perpAt(esk2_0,esk3_0,esk2_0,esk4_0,esk2_0)
| s_col(esk2_0,esk3_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_191,c_0_175]) ).
cnf(c_0_232,negated_conjecture,
( foot(esk2_0,esk3_0,esk1_0) = esk2_0
| esk3_0 = esk2_0
| s_col(esk2_0,esk3_0,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_219]),c_0_113])]) ).
cnf(c_0_233,negated_conjecture,
( esk1_0 = esk2_0
| esk3_0 = esk2_0
| perp(esk2_0,esk3_0,esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_142,c_0_220]) ).
cnf(c_0_234,negated_conjecture,
( s_e(X1,esk1_0,X1,esk4_0)
| ~ s_t(esk1_0,esk4_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_222]),c_0_223])]) ).
cnf(c_0_235,negated_conjecture,
s_e(esk3_0,esk1_0,esk3_0,s(esk2_0,esk1_0)),
inference(spm,[status(thm)],[c_0_207,c_0_132]) ).
cnf(c_0_236,negated_conjecture,
( s(esk2_0,esk4_0) = esk1_0
| ~ s_t(esk4_0,esk2_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_139,c_0_224]) ).
cnf(c_0_237,negated_conjecture,
( s_e(X1,esk4_0,X1,esk1_0)
| ~ s_t(esk4_0,esk1_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_225]),c_0_223])]) ).
cnf(c_0_238,negated_conjecture,
( s_m(esk2_0,esk4_0,esk4_0)
| ~ s_t(esk1_0,esk2_0,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_226]),c_0_146])]) ).
cnf(c_0_239,plain,
( perp(X1,X2,X4,X3)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_227]) ).
cnf(c_0_240,negated_conjecture,
( esk4_0 = esk2_0
| esk3_0 = esk2_0
| perp(esk4_0,esk2_0,esk3_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_205,c_0_228]) ).
fof(c_0_241,plain,
! [X12,X15,X14] :
( ~ s_t(X12,X15,X14)
| s_t(X14,X15,X12) ),
inference(fof_simplification,[status(thm)],[aSatz3_2]) ).
fof(c_0_242,plain,
! [X372,X373,X374] :
( ( ~ s_col(X372,X373,X374)
| s_t(X372,X373,X374)
| s_t(X373,X374,X372)
| s_t(X374,X372,X373) )
& ( s_col(X372,X373,X374)
| ~ s_t(X372,X373,X374) )
& ( s_col(X372,X373,X374)
| ~ s_t(X373,X374,X372) )
& ( s_col(X372,X373,X374)
| ~ s_t(X374,X372,X373) ) ),
inference(variable_rename,[status(thm)],[c_0_229]) ).
cnf(c_0_243,negated_conjecture,
( esk3_0 = esk2_0
| esk2_0 = X1
| s_col(esk2_0,esk3_0,esk4_0)
| s_col(esk2_0,X1,esk4_0)
| ~ perpAt(esk2_0,esk3_0,esk2_0,X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_230,c_0_231]) ).
cnf(c_0_244,negated_conjecture,
( esk3_0 = esk2_0
| perpAt(esk2_0,esk3_0,esk2_0,esk1_0,esk2_0)
| s_col(esk2_0,esk3_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_191,c_0_232]) ).
cnf(c_0_245,negated_conjecture,
( esk3_0 = esk2_0
| esk1_0 = esk2_0
| ~ s_col(esk2_0,esk3_0,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_233]),c_0_113])]) ).
cnf(c_0_246,negated_conjecture,
~ s_e(esk1_0,esk3_0,esk4_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_247,negated_conjecture,
( s_e(esk1_0,X1,esk4_0,X1)
| ~ s_t(esk1_0,esk4_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_107,c_0_234]) ).
cnf(c_0_248,negated_conjecture,
s_e(esk1_0,esk3_0,s(esk2_0,esk1_0),esk3_0),
inference(spm,[status(thm)],[c_0_107,c_0_235]) ).
cnf(c_0_249,negated_conjecture,
( s(esk2_0,esk1_0) = esk4_0
| ~ s_t(esk4_0,esk2_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_103,c_0_236]) ).
cnf(c_0_250,negated_conjecture,
( s_e(X1,esk1_0,X1,esk4_0)
| ~ s_t(esk4_0,esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_50,c_0_237]) ).
cnf(c_0_251,negated_conjecture,
( s(esk4_0,esk2_0) = esk4_0
| ~ s_t(esk1_0,esk2_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_139,c_0_238]) ).
fof(c_0_252,plain,
! [X12,X15,X14] :
( ~ s_t(X12,X15,X14)
| ~ s_e(X12,X14,X12,X15)
| X14 = X15 ),
inference(fof_simplification,[status(thm)],[aNarbouxLemma1]) ).
cnf(c_0_253,negated_conjecture,
( esk3_0 = esk2_0
| esk4_0 = esk2_0
| perp(esk4_0,esk2_0,esk2_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_239,c_0_240]) ).
fof(c_0_254,plain,
! [X255,X256,X257] :
( ~ s_t(X255,X256,X257)
| s_t(X257,X256,X255) ),
inference(variable_rename,[status(thm)],[c_0_241]) ).
cnf(c_0_255,plain,
( s_t(X1,X2,X3)
| s_t(X2,X3,X1)
| s_t(X3,X1,X2)
| ~ s_col(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_242]) ).
cnf(c_0_256,negated_conjecture,
( esk1_0 = esk2_0
| esk3_0 = esk2_0
| s_col(esk2_0,esk1_0,esk4_0)
| s_col(esk2_0,esk3_0,esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_244]),c_0_245]) ).
cnf(c_0_257,negated_conjecture,
~ s_t(esk1_0,esk4_0,esk2_0),
inference(spm,[status(thm)],[c_0_246,c_0_247]) ).
cnf(c_0_258,negated_conjecture,
~ s_t(esk4_0,esk2_0,esk1_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_249]),c_0_246]) ).
cnf(c_0_259,negated_conjecture,
( s_e(esk1_0,X1,esk4_0,X1)
| ~ s_t(esk4_0,esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_107,c_0_250]) ).
cnf(c_0_260,negated_conjecture,
( ~ sameside(esk4_0,esk2_0,esk4_0)
| ~ s_t(esk1_0,esk2_0,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_251]),c_0_119])]) ).
fof(c_0_261,plain,
! [X147,X148,X149] :
( ~ s_t(X147,X148,X149)
| ~ s_e(X147,X149,X147,X148)
| X149 = X148 ),
inference(variable_rename,[status(thm)],[c_0_252]) ).
cnf(c_0_262,negated_conjecture,
( esk4_0 = esk2_0
| esk3_0 = esk2_0
| perp(esk2_0,esk3_0,esk4_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_165,c_0_253]) ).
cnf(c_0_263,plain,
( s_t(X3,X2,X1)
| ~ s_t(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_254]) ).
cnf(c_0_264,negated_conjecture,
( esk3_0 = esk2_0
| esk1_0 = esk2_0
| s_col(esk2_0,esk3_0,esk4_0)
| s_t(esk2_0,esk1_0,esk4_0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_256]),c_0_257]),c_0_258]) ).
cnf(c_0_265,negated_conjecture,
~ s_t(esk4_0,esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_246,c_0_259]) ).
cnf(c_0_266,negated_conjecture,
( s_t(esk4_0,esk2_0,esk4_0)
| ~ s_t(esk1_0,esk2_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_260,c_0_138]) ).
cnf(c_0_267,plain,
( X3 = X2
| ~ s_t(X1,X2,X3)
| ~ s_e(X1,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_261]) ).
cnf(c_0_268,negated_conjecture,
( esk3_0 = esk2_0
| esk4_0 = esk2_0
| ~ s_col(esk2_0,esk3_0,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_262]),c_0_113])]) ).
cnf(c_0_269,negated_conjecture,
( esk1_0 = esk2_0
| esk3_0 = esk2_0
| s_col(esk2_0,esk3_0,esk4_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_264]),c_0_265]) ).
cnf(c_0_270,negated_conjecture,
( s_t(esk4_0,esk2_0,X1)
| ~ s_t(esk1_0,esk2_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_196,c_0_266]) ).
cnf(c_0_271,negated_conjecture,
( esk4_0 = esk1_0
| ~ s_t(esk2_0,esk4_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_267,c_0_126]) ).
cnf(c_0_272,negated_conjecture,
( esk1_0 = esk2_0
| esk4_0 = esk2_0
| esk3_0 = esk2_0 ),
inference(spm,[status(thm)],[c_0_268,c_0_269]) ).
cnf(c_0_273,negated_conjecture,
~ s_t(esk1_0,esk2_0,esk1_0),
inference(spm,[status(thm)],[c_0_258,c_0_270]) ).
cnf(c_0_274,negated_conjecture,
( esk3_0 = esk2_0
| esk1_0 = esk2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_272]),c_0_119])]) ).
cnf(c_0_275,negated_conjecture,
esk3_0 = esk2_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_274]),c_0_119])]) ).
cnf(c_0_276,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_246,c_0_275]),c_0_275]),c_0_51])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GEO525+1 : TPTP v8.1.2. Released v7.0.0.
% 0.00/0.09 % Command : run_E %s %d THM
% 0.09/0.29 % Computer : n029.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 2400
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Tue Oct 3 06:51:22 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.14/0.42 Running first-order model finding
% 0.14/0.42 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.Wn7vBhgV4k/E---3.1_20690.p
% 1659.72/230.68 # Version: 3.1pre001
% 1659.72/230.68 # Preprocessing class: FSLSSMSMSSSNFFN.
% 1659.72/230.68 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1659.72/230.68 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1659.72/230.68 # Starting new_bool_3 with 300s (1) cores
% 1659.72/230.68 # Starting new_bool_1 with 300s (1) cores
% 1659.72/230.68 # Starting sh5l with 300s (1) cores
% 1659.72/230.68 # sh5l with pid 20770 completed with status 0
% 1659.72/230.68 # Result found by sh5l
% 1659.72/230.68 # Preprocessing class: FSLSSMSMSSSNFFN.
% 1659.72/230.68 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1659.72/230.68 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1659.72/230.68 # Starting new_bool_3 with 300s (1) cores
% 1659.72/230.68 # Starting new_bool_1 with 300s (1) cores
% 1659.72/230.68 # Starting sh5l with 300s (1) cores
% 1659.72/230.68 # SinE strategy is gf500_gu_R04_F100_L20000
% 1659.72/230.68 # Search class: FGHSM-FSLS33-SFFFFFNN
% 1659.72/230.68 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 1659.72/230.68 # Starting G-E--_208_C12_00_F1_SE_CS_PI_SP_PS_S5PRR_RG_S04AN with 116s (1) cores
% 1659.72/230.68 # G-E--_208_C12_00_F1_SE_CS_PI_SP_PS_S5PRR_RG_S04AN with pid 20772 completed with status 7
% 1659.72/230.68 # Starting sh5l with 31s (1) cores
% 1659.72/230.68 # sh5l with pid 21774 completed with status 7
% 1659.72/230.68 # Starting G-E--_008_C45_F1_PI_S5PRR_SE_Q4_CS_SP_S4S with 39s (1) cores
% 1659.72/230.68 # G-E--_008_C45_F1_PI_S5PRR_SE_Q4_CS_SP_S4S with pid 22235 completed with status 7
% 1659.72/230.68 # Starting G-E--_200_C45_F1_SE_CS_SP_PI_CO_S5PRR_S0V with 39s (1) cores
% 1659.72/230.68 # G-E--_200_C45_F1_SE_CS_SP_PI_CO_S5PRR_S0V with pid 22246 completed with status 7
% 1659.72/230.68 # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 39s (1) cores
% 1659.72/230.68 # G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with pid 22268 completed with status 0
% 1659.72/230.68 # Result found by G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN
% 1659.72/230.68 # Preprocessing class: FSLSSMSMSSSNFFN.
% 1659.72/230.68 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1659.72/230.68 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1659.72/230.68 # Starting new_bool_3 with 300s (1) cores
% 1659.72/230.68 # Starting new_bool_1 with 300s (1) cores
% 1659.72/230.68 # Starting sh5l with 300s (1) cores
% 1659.72/230.68 # SinE strategy is gf500_gu_R04_F100_L20000
% 1659.72/230.68 # Search class: FGHSM-FSLS33-SFFFFFNN
% 1659.72/230.68 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 1659.72/230.68 # Starting G-E--_208_C12_00_F1_SE_CS_PI_SP_PS_S5PRR_RG_S04AN with 116s (1) cores
% 1659.72/230.68 # G-E--_208_C12_00_F1_SE_CS_PI_SP_PS_S5PRR_RG_S04AN with pid 20772 completed with status 7
% 1659.72/230.68 # Starting sh5l with 31s (1) cores
% 1659.72/230.68 # sh5l with pid 21774 completed with status 7
% 1659.72/230.68 # Starting G-E--_008_C45_F1_PI_S5PRR_SE_Q4_CS_SP_S4S with 39s (1) cores
% 1659.72/230.68 # G-E--_008_C45_F1_PI_S5PRR_SE_Q4_CS_SP_S4S with pid 22235 completed with status 7
% 1659.72/230.68 # Starting G-E--_200_C45_F1_SE_CS_SP_PI_CO_S5PRR_S0V with 39s (1) cores
% 1659.72/230.68 # G-E--_200_C45_F1_SE_CS_SP_PI_CO_S5PRR_S0V with pid 22246 completed with status 7
% 1659.72/230.68 # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 39s (1) cores
% 1659.72/230.68 # Preprocessing time : 0.003 s
% 1659.72/230.68
% 1659.72/230.68 # Proof found!
% 1659.72/230.68 # SZS status Theorem
% 1659.72/230.68 # SZS output start CNFRefutation
% See solution above
% 1659.72/230.69 # Parsed axioms : 209
% 1659.72/230.69 # Removed by relevancy pruning/SinE : 35
% 1659.72/230.69 # Initial clauses : 207
% 1659.72/230.69 # Removed in clause preprocessing : 0
% 1659.72/230.69 # Initial clauses in saturation : 207
% 1659.72/230.69 # Processed clauses : 9898
% 1659.72/230.69 # ...of these trivial : 149
% 1659.72/230.69 # ...subsumed : 6176
% 1659.72/230.69 # ...remaining for further processing : 3573
% 1659.72/230.69 # Other redundant clauses eliminated : 827
% 1659.72/230.69 # Clauses deleted for lack of memory : 0
% 1659.72/230.69 # Backward-subsumed : 683
% 1659.72/230.69 # Backward-rewritten : 819
% 1659.72/230.69 # Generated clauses : 195679
% 1659.72/230.69 # ...of the previous two non-redundant : 181553
% 1659.72/230.69 # ...aggressively subsumed : 0
% 1659.72/230.69 # Contextual simplify-reflections : 132
% 1659.72/230.69 # Paramodulations : 193507
% 1659.72/230.69 # Factorizations : 1314
% 1659.72/230.69 # NegExts : 0
% 1659.72/230.69 # Equation resolutions : 858
% 1659.72/230.69 # Total rewrite steps : 48671
% 1659.72/230.69 # Propositional unsat checks : 0
% 1659.72/230.69 # Propositional check models : 0
% 1659.72/230.69 # Propositional check unsatisfiable : 0
% 1659.72/230.69 # Propositional clauses : 0
% 1659.72/230.69 # Propositional clauses after purity: 0
% 1659.72/230.69 # Propositional unsat core size : 0
% 1659.72/230.69 # Propositional preprocessing time : 0.000
% 1659.72/230.69 # Propositional encoding time : 0.000
% 1659.72/230.69 # Propositional solver time : 0.000
% 1659.72/230.69 # Success case prop preproc time : 0.000
% 1659.72/230.69 # Success case prop encoding time : 0.000
% 1659.72/230.69 # Success case prop solver time : 0.000
% 1659.72/230.69 # Current number of processed clauses : 2067
% 1659.72/230.69 # Positive orientable unit clauses : 116
% 1659.72/230.69 # Positive unorientable unit clauses: 0
% 1659.72/230.69 # Negative unit clauses : 46
% 1659.72/230.69 # Non-unit-clauses : 1905
% 1659.72/230.69 # Current number of unprocessed clauses: 166641
% 1659.72/230.69 # ...number of literals in the above : 744697
% 1659.72/230.69 # Current number of archived formulas : 0
% 1659.72/230.69 # Current number of archived clauses : 1502
% 1659.72/230.69 # Clause-clause subsumption calls (NU) : 1313267
% 1659.72/230.69 # Rec. Clause-clause subsumption calls : 664578
% 1659.72/230.69 # Non-unit clause-clause subsumptions : 5913
% 1659.72/230.69 # Unit Clause-clause subsumption calls : 30297
% 1659.72/230.69 # Rewrite failures with RHS unbound : 0
% 1659.72/230.69 # BW rewrite match attempts : 5027
% 1659.72/230.69 # BW rewrite match successes : 10
% 1659.72/230.69 # Condensation attempts : 0
% 1659.72/230.69 # Condensation successes : 0
% 1659.72/230.69 # Termbank termtop insertions : 3122647
% 1659.72/230.69
% 1659.72/230.69 # -------------------------------------------------
% 1659.72/230.69 # User time : 225.074 s
% 1659.72/230.69 # System time : 4.080 s
% 1659.72/230.69 # Total time : 229.155 s
% 1659.72/230.69 # Maximum resident set size: 3192 pages
% 1659.72/230.69
% 1659.72/230.69 # -------------------------------------------------
% 1659.72/230.69 # User time : 225.088 s
% 1659.72/230.69 # System time : 4.084 s
% 1659.72/230.69 # Total time : 229.172 s
% 1659.72/230.69 # Maximum resident set size: 2076 pages
% 1659.72/230.69 % E---3.1 exiting
%------------------------------------------------------------------------------