TSTP Solution File: GEO507+1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO507+1 : TPTP v8.1.2. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 22:48:27 EDT 2023
% Result : Theorem 12.37s 12.73s
% Output : CNFRefutation 12.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 62
% Syntax : Number of formulae : 194 ( 48 unt; 37 typ; 0 def)
% Number of atoms : 505 ( 125 equ)
% Maximal formula atoms : 30 ( 3 avg)
% Number of connectives : 574 ( 226 ~; 280 |; 68 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 131 ( 29 >; 102 *; 0 +; 0 <<)
% Number of predicates : 16 ( 14 usr; 1 prp; 0-8 aty)
% Number of functors : 23 ( 23 usr; 8 con; 0-6 aty)
% Number of variables : 356 ( 19 sgn; 227 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
s_e: ( $i * $i * $i * $i ) > $o ).
tff(decl_23,type,
ext: ( $i * $i * $i * $i ) > $i ).
tff(decl_24,type,
s_t: ( $i * $i * $i ) > $o ).
tff(decl_25,type,
ip: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_26,type,
alpha: $i ).
tff(decl_27,type,
beta: $i ).
tff(decl_28,type,
gamma: $i ).
tff(decl_29,type,
crossbar: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_30,type,
s_ifs: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_31,type,
insert: ( $i * $i * $i * $i ) > $i ).
tff(decl_32,type,
s_e3: ( $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_33,type,
s_col: ( $i * $i * $i ) > $o ).
tff(decl_34,type,
insert5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_35,type,
s_fs: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_36,type,
le: ( $i * $i * $i * $i ) > $o ).
tff(decl_37,type,
ins: ( $i * $i * $i * $i ) > $i ).
tff(decl_38,type,
sameside: ( $i * $i * $i ) > $o ).
tff(decl_39,type,
c63: ( $i * $i * $i ) > $i ).
tff(decl_40,type,
pointOffLine: ( $i * $i ) > $i ).
tff(decl_41,type,
s_m: ( $i * $i * $i ) > $o ).
tff(decl_42,type,
s: ( $i * $i ) > $i ).
tff(decl_43,type,
s_kf: ( $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_44,type,
isomidpoint: ( $i * $i * $i ) > $i ).
tff(decl_45,type,
s_r: ( $i * $i * $i ) > $o ).
tff(decl_46,type,
perpAt: ( $i * $i * $i * $i * $i ) > $o ).
tff(decl_47,type,
perp: ( $i * $i * $i * $i ) > $o ).
tff(decl_48,type,
f813: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_49,type,
g813: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_50,type,
s_afs: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_51,type,
xb: $i ).
tff(decl_52,type,
f811: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_53,type,
g811: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_54,type,
il: ( $i * $i * $i * $i ) > $i ).
tff(decl_55,type,
esk1_0: $i ).
tff(decl_56,type,
esk2_0: $i ).
tff(decl_57,type,
esk3_0: $i ).
tff(decl_58,type,
esk4_0: $i ).
fof(aSatz4_11c,axiom,
! [X12,X15,X14] :
( ~ s_col(X12,X15,X14)
| s_col(X14,X15,X12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz4_11c) ).
fof(aSatz8_14a,conjecture,
! [X12,X15,X13,X16] :
( ~ perp(X12,X15,X13,X16)
| ~ s_col(X12,X15,X13)
| ~ s_col(X12,X15,X16) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_14a) ).
fof(aSatz4_11b,axiom,
! [X12,X15,X14] :
( ~ s_col(X12,X15,X14)
| s_col(X14,X12,X15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz4_11b) ).
fof(aSatz8_12b,axiom,
! [X12,X15,X13,X16] :
( ~ perp(X12,X15,X13,X16)
| perp(X13,X16,X12,X15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_12b) ).
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/benchmark/theBenchmark.p',d_Defn7_1) ).
fof(d_Defn8_11b,axiom,
! [X13,X16,X42,X43,X1] :
( ( ~ perp(X13,X16,X42,X43)
| perpAt(X13,X16,il(X13,X16,X42,X43),X42,X43) )
& ( perp(X13,X16,X42,X43)
| ~ perpAt(X13,X16,X1,X42,X43) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_Defn8_11b) ).
fof(aSatz6_16b,axiom,
! [X13,X16,X28,X27] :
( X13 = X16
| X28 = X13
| ~ s_col(X13,X16,X28)
| ~ s_col(X13,X16,X27)
| s_col(X13,X28,X27) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz6_16b) ).
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/benchmark/theBenchmark.p',d_Defn4_10) ).
fof(aSatz7_4a,axiom,
! [X13,X12] : s_m(X13,X12,s(X12,X13)),
file('/export/starexec/sandbox/benchmark/theBenchmark.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/benchmark/theBenchmark.p',aSatz6_4a) ).
fof(aSatz8_13a,axiom,
! [X12,X15,X14,X13,X16] :
( ( ~ perpAt(X12,X15,X14,X13,X16)
| X12 != X15 )
& ( ~ perpAt(X12,X15,X14,X13,X16)
| X13 != X16 )
& ( ~ perpAt(X12,X15,X14,X13,X16)
| s_col(X13,X16,X14) )
& ( ~ perpAt(X12,X15,X14,X13,X16)
| s_col(X12,X15,X14) )
& ( ~ perpAt(X12,X15,X14,X13,X16)
| s_col(X12,X15,f813(X12,X15,X13,X16,X14)) )
& ( ~ perpAt(X12,X15,X14,X13,X16)
| s_col(X13,X16,g813(X12,X15,X13,X16,X14)) )
& ( ~ perpAt(X12,X15,X14,X13,X16)
| X14 != f813(X12,X15,X13,X16,X14) )
& ( ~ perpAt(X12,X15,X14,X13,X16)
| X14 != g813(X12,X15,X13,X16,X14) )
& ( ~ perpAt(X12,X15,X14,X13,X16)
| s_r(f813(X12,X15,X13,X16,X14),X14,g813(X12,X15,X13,X16,X14)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_13a) ).
fof(d_Defn8_11a,axiom,
! [X2,X3,X1,X9,X10,X35,X4] :
( ( ~ perpAt(X2,X3,X1,X9,X10)
| s_col(X2,X3,X1) )
& ( ~ perpAt(X2,X3,X1,X9,X10)
| s_col(X9,X10,X1) )
& ( ~ perpAt(X2,X3,X1,X9,X10)
| X2 != X3 )
& ( ~ perpAt(X2,X3,X1,X9,X10)
| X9 != X10 )
& ( ~ perpAt(X2,X3,X1,X9,X10)
| ~ s_col(X2,X3,X35)
| ~ s_col(X9,X10,X4)
| s_r(X35,X1,X4) )
& ( perpAt(X2,X3,X1,X9,X10)
| X2 = X3
| X9 = X10
| ~ s_col(X2,X3,X1)
| ~ s_col(X9,X10,X1)
| s_col(X2,X3,f811(X2,X3,X9,X10,X1)) )
& ( perpAt(X2,X3,X1,X9,X10)
| X2 = X3
| X9 = X10
| ~ s_col(X2,X3,X1)
| ~ s_col(X9,X10,X1)
| s_col(X9,X10,g811(X2,X3,X9,X10,X1)) )
& ( perpAt(X2,X3,X1,X9,X10)
| X2 = X3
| X9 = X10
| ~ s_col(X2,X3,X1)
| ~ s_col(X9,X10,X1)
| ~ s_r(f811(X2,X3,X9,X10,X1),X1,g811(X2,X3,X9,X10,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_Defn8_11a) ).
fof(aSatz4_11a,axiom,
! [X12,X15,X14] :
( ~ s_col(X12,X15,X14)
| s_col(X15,X14,X12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz4_11a) ).
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/benchmark/theBenchmark.p',aSatz6_4b) ).
fof(aSatz7_7,axiom,
! [X12,X13] : s(X12,s(X12,X13)) = X13,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_7) ).
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/benchmark/theBenchmark.p',aSatz8_9) ).
fof(aSatz4_12b,axiom,
! [X12,X15] : s_col(X12,X15,X12),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz4_12b) ).
fof(aSatz7_10b,axiom,
! [X12,X13] :
( s(X12,X13) = X13
| X13 != X12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_10b) ).
fof(aSatz3_3,axiom,
! [X20,X21] : s_t(X20,X20,X21),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz3_3) ).
fof(aSatz8_2,axiom,
! [X12,X15,X14] :
( ~ s_r(X12,X15,X14)
| s_r(X14,X15,X12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_2) ).
fof(aSatz7_9,axiom,
! [X12,X13,X16] :
( s(X12,X13) != s(X12,X16)
| X13 = X16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_9) ).
fof(aSatz8_7,axiom,
! [X12,X15,X14] :
( ~ s_r(X12,X15,X14)
| ~ s_r(X12,X14,X15)
| X15 = X14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_7) ).
fof(aSatz8_5,axiom,
! [X12,X15] : s_r(X12,X15,X15),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_5) ).
fof(aSatz4_11d,axiom,
! [X12,X15,X14] :
( ~ s_col(X12,X15,X14)
| s_col(X15,X12,X14) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz4_11d) ).
fof(aSatz8_12a,axiom,
! [X12,X15,X14,X13,X16] :
( ~ perpAt(X12,X15,X14,X13,X16)
| perpAt(X13,X16,X14,X12,X15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_12a) ).
fof(c_0_25,plain,
! [X12,X15,X14] :
( ~ s_col(X12,X15,X14)
| s_col(X14,X15,X12) ),
inference(fof_simplification,[status(thm)],[aSatz4_11c]) ).
fof(c_0_26,negated_conjecture,
~ ! [X12,X15,X13,X16] :
( ~ perp(X12,X15,X13,X16)
| ~ s_col(X12,X15,X13)
| ~ s_col(X12,X15,X16) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[aSatz8_14a])]) ).
fof(c_0_27,plain,
! [X12,X15,X14] :
( ~ s_col(X12,X15,X14)
| s_col(X14,X12,X15) ),
inference(fof_simplification,[status(thm)],[aSatz4_11b]) ).
fof(c_0_28,plain,
! [X195,X196,X197] :
( ~ s_col(X195,X196,X197)
| s_col(X197,X196,X195) ),
inference(variable_rename,[status(thm)],[c_0_25]) ).
fof(c_0_29,negated_conjecture,
( perp(esk1_0,esk2_0,esk3_0,esk4_0)
& s_col(esk1_0,esk2_0,esk3_0)
& s_col(esk1_0,esk2_0,esk4_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])]) ).
fof(c_0_30,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_31,plain,
! [X192,X193,X194] :
( ~ s_col(X192,X193,X194)
| s_col(X194,X192,X193) ),
inference(variable_rename,[status(thm)],[c_0_27]) ).
cnf(c_0_32,plain,
( s_col(X3,X2,X1)
| ~ s_col(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_33,negated_conjecture,
s_col(esk1_0,esk2_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
fof(c_0_34,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_35,plain,
! [X13,X16,X42,X43,X1] :
( ( ~ perp(X13,X16,X42,X43)
| perpAt(X13,X16,il(X13,X16,X42,X43),X42,X43) )
& ( perp(X13,X16,X42,X43)
| ~ perpAt(X13,X16,X1,X42,X43) ) ),
inference(fof_simplification,[status(thm)],[d_Defn8_11b]) ).
fof(c_0_36,plain,
! [X522,X523,X524,X525] :
( ~ perp(X522,X523,X524,X525)
| perp(X524,X525,X522,X523) ),
inference(variable_rename,[status(thm)],[c_0_30]) ).
fof(c_0_37,plain,
! [X13,X16,X28,X27] :
( X13 = X16
| X28 = X13
| ~ s_col(X13,X16,X28)
| ~ s_col(X13,X16,X27)
| s_col(X13,X28,X27) ),
inference(fof_simplification,[status(thm)],[aSatz6_16b]) ).
cnf(c_0_38,plain,
( s_col(X3,X1,X2)
| ~ s_col(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_39,negated_conjecture,
s_col(esk4_0,esk2_0,esk1_0),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_40,negated_conjecture,
s_col(esk1_0,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
fof(c_0_41,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_42,plain,
! [X587,X588,X589] :
( ( ~ s_m(X587,X588,X589)
| s_t(X587,X588,X589) )
& ( ~ s_m(X587,X588,X589)
| s_e(X588,X587,X588,X589) )
& ( ~ s_t(X587,X588,X589)
| ~ s_e(X588,X587,X588,X589)
| s_m(X587,X588,X589) ) ),
inference(variable_rename,[status(thm)],[c_0_34]) ).
fof(c_0_43,plain,
! [X402,X403] : s_m(X402,X403,s(X403,X402)),
inference(variable_rename,[status(thm)],[aSatz7_4a]) ).
fof(c_0_44,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_45,plain,
! [X12,X15,X14,X13,X16] :
( ( ~ perpAt(X12,X15,X14,X13,X16)
| X12 != X15 )
& ( ~ perpAt(X12,X15,X14,X13,X16)
| X13 != X16 )
& ( ~ perpAt(X12,X15,X14,X13,X16)
| s_col(X13,X16,X14) )
& ( ~ perpAt(X12,X15,X14,X13,X16)
| s_col(X12,X15,X14) )
& ( ~ perpAt(X12,X15,X14,X13,X16)
| s_col(X12,X15,f813(X12,X15,X13,X16,X14)) )
& ( ~ perpAt(X12,X15,X14,X13,X16)
| s_col(X13,X16,g813(X12,X15,X13,X16,X14)) )
& ( ~ perpAt(X12,X15,X14,X13,X16)
| X14 != f813(X12,X15,X13,X16,X14) )
& ( ~ perpAt(X12,X15,X14,X13,X16)
| X14 != g813(X12,X15,X13,X16,X14) )
& ( ~ perpAt(X12,X15,X14,X13,X16)
| s_r(f813(X12,X15,X13,X16,X14),X14,g813(X12,X15,X13,X16,X14)) ) ),
inference(fof_simplification,[status(thm)],[aSatz8_13a]) ).
fof(c_0_46,plain,
! [X607,X608,X609,X610,X611] :
( ( ~ perp(X607,X608,X609,X610)
| perpAt(X607,X608,il(X607,X608,X609,X610),X609,X610) )
& ( perp(X607,X608,X609,X610)
| ~ perpAt(X607,X608,X611,X609,X610) ) ),
inference(variable_rename,[status(thm)],[c_0_35]) ).
cnf(c_0_47,plain,
( perp(X3,X4,X1,X2)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_48,negated_conjecture,
perp(esk1_0,esk2_0,esk3_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
fof(c_0_49,plain,
! [X2,X3,X1,X9,X10,X35,X4] :
( ( ~ perpAt(X2,X3,X1,X9,X10)
| s_col(X2,X3,X1) )
& ( ~ perpAt(X2,X3,X1,X9,X10)
| s_col(X9,X10,X1) )
& ( ~ perpAt(X2,X3,X1,X9,X10)
| X2 != X3 )
& ( ~ perpAt(X2,X3,X1,X9,X10)
| X9 != X10 )
& ( ~ perpAt(X2,X3,X1,X9,X10)
| ~ s_col(X2,X3,X35)
| ~ s_col(X9,X10,X4)
| s_r(X35,X1,X4) )
& ( perpAt(X2,X3,X1,X9,X10)
| X2 = X3
| X9 = X10
| ~ s_col(X2,X3,X1)
| ~ s_col(X9,X10,X1)
| s_col(X2,X3,f811(X2,X3,X9,X10,X1)) )
& ( perpAt(X2,X3,X1,X9,X10)
| X2 = X3
| X9 = X10
| ~ s_col(X2,X3,X1)
| ~ s_col(X9,X10,X1)
| s_col(X9,X10,g811(X2,X3,X9,X10,X1)) )
& ( perpAt(X2,X3,X1,X9,X10)
| X2 = X3
| X9 = X10
| ~ s_col(X2,X3,X1)
| ~ s_col(X9,X10,X1)
| ~ s_r(f811(X2,X3,X9,X10,X1),X1,g811(X2,X3,X9,X10,X1)) ) ),
inference(fof_simplification,[status(thm)],[d_Defn8_11a]) ).
fof(c_0_50,plain,
! [X366,X367,X368,X369] :
( X366 = X367
| X368 = X366
| ~ s_col(X366,X367,X368)
| ~ s_col(X366,X367,X369)
| s_col(X366,X368,X369) ),
inference(variable_rename,[status(thm)],[c_0_37]) ).
cnf(c_0_51,negated_conjecture,
s_col(esk1_0,esk4_0,esk2_0),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_52,negated_conjecture,
s_col(esk3_0,esk2_0,esk1_0),
inference(spm,[status(thm)],[c_0_32,c_0_40]) ).
fof(c_0_53,plain,
! [X568,X569,X570] :
( ( ~ s_col(X568,X569,X570)
| s_t(X568,X569,X570)
| s_t(X569,X570,X568)
| s_t(X570,X568,X569) )
& ( s_col(X568,X569,X570)
| ~ s_t(X568,X569,X570) )
& ( s_col(X568,X569,X570)
| ~ s_t(X569,X570,X568) )
& ( s_col(X568,X569,X570)
| ~ s_t(X570,X568,X569) ) ),
inference(variable_rename,[status(thm)],[c_0_41]) ).
cnf(c_0_54,plain,
( s_t(X1,X2,X3)
| ~ s_m(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_55,plain,
s_m(X1,X2,s(X2,X1)),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
fof(c_0_56,plain,
! [X315,X316,X317] :
( ( ~ sameside(X315,X316,X317)
| s_col(X315,X316,X317) )
& ( ~ sameside(X315,X316,X317)
| ~ s_t(X315,X316,X317) ) ),
inference(variable_rename,[status(thm)],[c_0_44]) ).
fof(c_0_57,plain,
! [X12,X15,X14] :
( ~ s_col(X12,X15,X14)
| s_col(X15,X14,X12) ),
inference(fof_simplification,[status(thm)],[aSatz4_11a]) ).
fof(c_0_58,plain,
! [X526,X527,X528,X529,X530] :
( ( ~ perpAt(X526,X527,X528,X529,X530)
| X526 != X527 )
& ( ~ perpAt(X526,X527,X528,X529,X530)
| X529 != X530 )
& ( ~ perpAt(X526,X527,X528,X529,X530)
| s_col(X529,X530,X528) )
& ( ~ perpAt(X526,X527,X528,X529,X530)
| s_col(X526,X527,X528) )
& ( ~ perpAt(X526,X527,X528,X529,X530)
| s_col(X526,X527,f813(X526,X527,X529,X530,X528)) )
& ( ~ perpAt(X526,X527,X528,X529,X530)
| s_col(X529,X530,g813(X526,X527,X529,X530,X528)) )
& ( ~ perpAt(X526,X527,X528,X529,X530)
| X528 != f813(X526,X527,X529,X530,X528) )
& ( ~ perpAt(X526,X527,X528,X529,X530)
| X528 != g813(X526,X527,X529,X530,X528) )
& ( ~ perpAt(X526,X527,X528,X529,X530)
| s_r(f813(X526,X527,X529,X530,X528),X528,g813(X526,X527,X529,X530,X528)) ) ),
inference(variable_rename,[status(thm)],[c_0_45]) ).
cnf(c_0_59,plain,
( perpAt(X1,X2,il(X1,X2,X3,X4),X3,X4)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_60,negated_conjecture,
perp(esk3_0,esk4_0,esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
fof(c_0_61,plain,
! [X600,X601,X602,X603,X604,X605,X606] :
( ( ~ perpAt(X600,X601,X602,X603,X604)
| s_col(X600,X601,X602) )
& ( ~ perpAt(X600,X601,X602,X603,X604)
| s_col(X603,X604,X602) )
& ( ~ perpAt(X600,X601,X602,X603,X604)
| X600 != X601 )
& ( ~ perpAt(X600,X601,X602,X603,X604)
| X603 != X604 )
& ( ~ perpAt(X600,X601,X602,X603,X604)
| ~ s_col(X600,X601,X605)
| ~ s_col(X603,X604,X606)
| s_r(X605,X602,X606) )
& ( perpAt(X600,X601,X602,X603,X604)
| X600 = X601
| X603 = X604
| ~ s_col(X600,X601,X602)
| ~ s_col(X603,X604,X602)
| s_col(X600,X601,f811(X600,X601,X603,X604,X602)) )
& ( perpAt(X600,X601,X602,X603,X604)
| X600 = X601
| X603 = X604
| ~ s_col(X600,X601,X602)
| ~ s_col(X603,X604,X602)
| s_col(X603,X604,g811(X600,X601,X603,X604,X602)) )
& ( perpAt(X600,X601,X602,X603,X604)
| X600 = X601
| X603 = X604
| ~ s_col(X600,X601,X602)
| ~ s_col(X603,X604,X602)
| ~ s_r(f811(X600,X601,X603,X604,X602),X602,g811(X600,X601,X603,X604,X602)) ) ),
inference(variable_rename,[status(thm)],[c_0_49]) ).
cnf(c_0_62,plain,
( X1 = X2
| X3 = X1
| s_col(X1,X3,X4)
| ~ s_col(X1,X2,X3)
| ~ s_col(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_63,negated_conjecture,
s_col(esk2_0,esk1_0,esk4_0),
inference(spm,[status(thm)],[c_0_38,c_0_51]) ).
cnf(c_0_64,negated_conjecture,
s_col(esk1_0,esk3_0,esk2_0),
inference(spm,[status(thm)],[c_0_38,c_0_52]) ).
fof(c_0_65,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]) ).
cnf(c_0_66,plain,
( s_col(X1,X2,X3)
| ~ s_t(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_67,plain,
s_t(X1,X2,s(X2,X1)),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_68,plain,
( ~ sameside(X1,X2,X3)
| ~ s_t(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
fof(c_0_69,plain,
! [X411,X412] : s(X411,s(X411,X412)) = X412,
inference(variable_rename,[status(thm)],[aSatz7_7]) ).
fof(c_0_70,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_71,plain,
! [X189,X190,X191] :
( ~ s_col(X189,X190,X191)
| s_col(X190,X191,X189) ),
inference(variable_rename,[status(thm)],[c_0_57]) ).
cnf(c_0_72,plain,
( s_col(X4,X5,X3)
| ~ perpAt(X1,X2,X3,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_73,negated_conjecture,
perpAt(esk3_0,esk4_0,il(esk3_0,esk4_0,esk1_0,esk2_0),esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_74,plain,
( s_r(X6,X3,X7)
| ~ perpAt(X1,X2,X3,X4,X5)
| ~ s_col(X1,X2,X6)
| ~ s_col(X4,X5,X7) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
fof(c_0_75,plain,
! [X206,X207] : s_col(X206,X207,X206),
inference(variable_rename,[status(thm)],[aSatz4_12b]) ).
cnf(c_0_76,negated_conjecture,
( esk2_0 = esk1_0
| esk2_0 = X1
| s_col(esk2_0,X1,esk4_0)
| ~ s_col(esk2_0,esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_77,negated_conjecture,
s_col(esk2_0,esk1_0,esk3_0),
inference(spm,[status(thm)],[c_0_38,c_0_64]) ).
fof(c_0_78,plain,
! [X318,X319,X320] :
( sameside(X318,X319,X320)
| ~ s_col(X318,X319,X320)
| s_t(X318,X319,X320) ),
inference(variable_rename,[status(thm)],[c_0_65]) ).
cnf(c_0_79,plain,
s_col(X1,X2,s(X2,X1)),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_80,plain,
~ sameside(X1,X2,s(X2,X1)),
inference(spm,[status(thm)],[c_0_68,c_0_67]) ).
cnf(c_0_81,plain,
s(X1,s(X1,X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_69]) ).
fof(c_0_82,plain,
! [X422,X423] :
( s(X422,X423) = X423
| X423 != X422 ),
inference(variable_rename,[status(thm)],[aSatz7_10b]) ).
fof(c_0_83,plain,
! [X125,X126] : s_t(X125,X125,X126),
inference(variable_rename,[status(thm)],[aSatz3_3]) ).
fof(c_0_84,plain,
! [X508,X509,X510] :
( ~ s_r(X508,X509,X510)
| ~ s_col(X508,X509,X510)
| X508 = X509
| X510 = X509 ),
inference(variable_rename,[status(thm)],[c_0_70]) ).
cnf(c_0_85,plain,
( s_col(X2,X3,X1)
| ~ s_col(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_86,negated_conjecture,
s_col(esk1_0,esk2_0,il(esk3_0,esk4_0,esk1_0,esk2_0)),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_87,negated_conjecture,
( s_r(X1,il(esk3_0,esk4_0,esk1_0,esk2_0),X2)
| ~ s_col(esk1_0,esk2_0,X2)
| ~ s_col(esk3_0,esk4_0,X1) ),
inference(spm,[status(thm)],[c_0_74,c_0_73]) ).
cnf(c_0_88,plain,
s_col(X1,X2,X1),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_89,negated_conjecture,
( esk3_0 = esk2_0
| esk2_0 = esk1_0
| s_col(esk2_0,esk3_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_90,negated_conjecture,
( esk2_0 = esk1_0
| esk1_0 = X1
| s_col(esk1_0,X1,esk4_0)
| ~ s_col(esk1_0,esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_62,c_0_33]) ).
fof(c_0_91,plain,
! [X12,X15,X14] :
( ~ s_r(X12,X15,X14)
| s_r(X14,X15,X12) ),
inference(fof_simplification,[status(thm)],[aSatz8_2]) ).
cnf(c_0_92,plain,
( sameside(X1,X2,X3)
| s_t(X1,X2,X3)
| ~ s_col(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_93,plain,
s_col(s(X1,X2),X1,X2),
inference(spm,[status(thm)],[c_0_32,c_0_79]) ).
cnf(c_0_94,plain,
~ sameside(s(X1,X2),X1,X2),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
fof(c_0_95,plain,
! [X417,X418,X419] :
( s(X417,X418) != s(X417,X419)
| X418 = X419 ),
inference(variable_rename,[status(thm)],[aSatz7_9]) ).
cnf(c_0_96,plain,
( s(X1,X2) = X2
| X2 != X1 ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_97,plain,
( s_col(X1,X2,X3)
| ~ s_t(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_98,plain,
s_t(X1,X1,X2),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_99,plain,
( X1 = X2
| X3 = X2
| ~ s_r(X1,X2,X3)
| ~ s_col(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_100,negated_conjecture,
s_col(esk2_0,il(esk3_0,esk4_0,esk1_0,esk2_0),esk1_0),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_101,negated_conjecture,
( s_r(X1,il(esk3_0,esk4_0,esk1_0,esk2_0),esk1_0)
| ~ s_col(esk3_0,esk4_0,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_102,negated_conjecture,
( esk2_0 = esk1_0
| esk3_0 = esk2_0
| s_col(esk3_0,esk4_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_85,c_0_89]) ).
fof(c_0_103,plain,
! [X12,X15,X14] :
( ~ s_r(X12,X15,X14)
| ~ s_r(X12,X14,X15)
| X15 = X14 ),
inference(fof_simplification,[status(thm)],[aSatz8_7]) ).
cnf(c_0_104,negated_conjecture,
( esk3_0 = esk1_0
| esk2_0 = esk1_0
| s_col(esk1_0,esk3_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_90,c_0_40]) ).
fof(c_0_105,plain,
! [X487,X488,X489] :
( ~ s_r(X487,X488,X489)
| s_r(X489,X488,X487) ),
inference(variable_rename,[status(thm)],[c_0_91]) ).
fof(c_0_106,plain,
! [X497,X498] : s_r(X497,X498,X498),
inference(variable_rename,[status(thm)],[aSatz8_5]) ).
fof(c_0_107,plain,
! [X12,X15,X14] :
( ~ s_col(X12,X15,X14)
| s_col(X15,X12,X14) ),
inference(fof_simplification,[status(thm)],[aSatz4_11d]) ).
cnf(c_0_108,plain,
( s_col(X1,X2,X3)
| ~ s_t(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_109,plain,
s_t(s(X1,X2),X1,X2),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_94]) ).
cnf(c_0_110,plain,
( X2 = X3
| s(X1,X2) != s(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_111,plain,
s(X1,X1) = X1,
inference(er,[status(thm)],[c_0_96]) ).
cnf(c_0_112,plain,
s_col(X1,X2,X2),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_113,negated_conjecture,
( il(esk3_0,esk4_0,esk1_0,esk2_0) = esk2_0
| il(esk3_0,esk4_0,esk1_0,esk2_0) = esk1_0
| ~ s_r(esk2_0,il(esk3_0,esk4_0,esk1_0,esk2_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_114,negated_conjecture,
( esk3_0 = esk2_0
| esk2_0 = esk1_0
| s_r(esk2_0,il(esk3_0,esk4_0,esk1_0,esk2_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
fof(c_0_115,plain,
! [X503,X504,X505] :
( ~ s_r(X503,X504,X505)
| ~ s_r(X503,X505,X504)
| X504 = X505 ),
inference(variable_rename,[status(thm)],[c_0_103]) ).
cnf(c_0_116,negated_conjecture,
( esk2_0 = esk1_0
| esk3_0 = esk1_0
| s_col(esk3_0,esk4_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_85,c_0_104]) ).
cnf(c_0_117,plain,
( s_r(X3,X2,X1)
| ~ s_r(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
cnf(c_0_118,plain,
s_r(X1,X2,X2),
inference(split_conjunct,[status(thm)],[c_0_106]) ).
fof(c_0_119,plain,
! [X198,X199,X200] :
( ~ s_col(X198,X199,X200)
| s_col(X199,X198,X200) ),
inference(variable_rename,[status(thm)],[c_0_107]) ).
cnf(c_0_120,negated_conjecture,
( esk4_0 = esk1_0
| esk1_0 = X1
| s_col(esk1_0,X1,esk2_0)
| ~ s_col(esk1_0,esk4_0,X1) ),
inference(spm,[status(thm)],[c_0_62,c_0_51]) ).
cnf(c_0_121,plain,
s_col(X1,X2,s(X1,X2)),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_122,plain,
( X1 = X2
| s(X2,X1) != X2 ),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_123,negated_conjecture,
( s_r(X1,il(esk3_0,esk4_0,esk1_0,esk2_0),esk2_0)
| ~ s_col(esk3_0,esk4_0,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_112]) ).
cnf(c_0_124,negated_conjecture,
s_r(esk3_0,il(esk3_0,esk4_0,esk1_0,esk2_0),esk1_0),
inference(spm,[status(thm)],[c_0_101,c_0_88]) ).
cnf(c_0_125,negated_conjecture,
( il(esk3_0,esk4_0,esk1_0,esk2_0) = esk1_0
| il(esk3_0,esk4_0,esk1_0,esk2_0) = esk2_0
| esk2_0 = esk1_0
| esk3_0 = esk2_0 ),
inference(spm,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_126,negated_conjecture,
( esk3_0 = esk2_0
| esk2_0 = esk1_0
| ~ s_r(esk3_0,esk2_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_99,c_0_52]) ).
cnf(c_0_127,plain,
( X2 = X3
| ~ s_r(X1,X2,X3)
| ~ s_r(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_115]) ).
cnf(c_0_128,negated_conjecture,
( esk3_0 = esk1_0
| esk2_0 = esk1_0
| s_r(esk1_0,il(esk3_0,esk4_0,esk1_0,esk2_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_101,c_0_116]) ).
cnf(c_0_129,plain,
s_r(X1,X1,X2),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_130,negated_conjecture,
s_col(esk3_0,esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_38,c_0_40]) ).
cnf(c_0_131,plain,
( s_col(X2,X1,X3)
| ~ s_col(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_132,negated_conjecture,
( esk4_0 = esk1_0
| s_col(esk1_0,s(esk1_0,esk4_0),esk2_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_122]) ).
cnf(c_0_133,negated_conjecture,
s_r(s(esk3_0,esk4_0),il(esk3_0,esk4_0,esk1_0,esk2_0),esk2_0),
inference(spm,[status(thm)],[c_0_123,c_0_121]) ).
cnf(c_0_134,negated_conjecture,
( il(esk3_0,esk4_0,esk1_0,esk2_0) = esk1_0
| esk3_0 = esk2_0
| esk2_0 = esk1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_126]) ).
cnf(c_0_135,negated_conjecture,
s_r(esk3_0,il(esk3_0,esk4_0,esk1_0,esk2_0),esk2_0),
inference(spm,[status(thm)],[c_0_123,c_0_88]) ).
cnf(c_0_136,negated_conjecture,
( il(esk3_0,esk4_0,esk1_0,esk2_0) = esk1_0
| esk2_0 = esk1_0
| esk3_0 = esk1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_129])]) ).
cnf(c_0_137,negated_conjecture,
( esk3_0 = esk1_0
| esk2_0 = esk1_0
| ~ s_r(esk3_0,esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_99,c_0_130]) ).
fof(c_0_138,plain,
! [X12,X15,X14,X13,X16] :
( ~ perpAt(X12,X15,X14,X13,X16)
| perpAt(X13,X16,X14,X12,X15) ),
inference(fof_simplification,[status(thm)],[aSatz8_12a]) ).
cnf(c_0_139,negated_conjecture,
( esk4_0 = esk1_0
| s_col(s(esk1_0,esk4_0),esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_131,c_0_132]) ).
cnf(c_0_140,negated_conjecture,
( esk2_0 = esk1_0
| esk3_0 = esk2_0
| s_r(s(esk3_0,esk4_0),esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_133,c_0_134]) ).
cnf(c_0_141,negated_conjecture,
( esk3_0 = esk1_0
| esk2_0 = esk1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_136]),c_0_137]) ).
fof(c_0_142,plain,
! [X517,X518,X519,X520,X521] :
( ~ perpAt(X517,X518,X519,X520,X521)
| perpAt(X520,X521,X519,X517,X518) ),
inference(variable_rename,[status(thm)],[c_0_138]) ).
cnf(c_0_143,negated_conjecture,
( esk2_0 = esk1_0
| esk3_0 = esk2_0
| perpAt(esk3_0,esk4_0,esk1_0,esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_73,c_0_134]) ).
cnf(c_0_144,negated_conjecture,
( esk4_0 = esk1_0
| esk2_0 = esk1_0
| ~ s_r(s(esk1_0,esk4_0),esk1_0,esk2_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_139]),c_0_122]) ).
cnf(c_0_145,negated_conjecture,
( esk2_0 = esk1_0
| s_r(s(esk1_0,esk4_0),esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_140,c_0_141]) ).
cnf(c_0_146,plain,
( ~ perpAt(X1,X2,X3,X4,X5)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_147,plain,
( perpAt(X4,X5,X3,X1,X2)
| ~ perpAt(X1,X2,X3,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_142]) ).
cnf(c_0_148,negated_conjecture,
perpAt(esk1_0,esk2_0,il(esk1_0,esk2_0,esk3_0,esk4_0),esk3_0,esk4_0),
inference(spm,[status(thm)],[c_0_59,c_0_48]) ).
cnf(c_0_149,negated_conjecture,
( esk2_0 = esk1_0
| perpAt(esk1_0,esk4_0,esk1_0,esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_143,c_0_141]) ).
cnf(c_0_150,negated_conjecture,
( esk2_0 = esk1_0
| esk4_0 = esk1_0 ),
inference(spm,[status(thm)],[c_0_144,c_0_145]) ).
cnf(c_0_151,plain,
~ perpAt(X1,X1,X2,X3,X4),
inference(er,[status(thm)],[c_0_146]) ).
cnf(c_0_152,plain,
( ~ perpAt(X1,X2,X3,X4,X5)
| X4 != X5 ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_153,negated_conjecture,
perpAt(esk3_0,esk4_0,il(esk1_0,esk2_0,esk3_0,esk4_0),esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_147,c_0_148]) ).
cnf(c_0_154,negated_conjecture,
esk2_0 = esk1_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_151]) ).
cnf(c_0_155,plain,
~ perpAt(X1,X2,X3,X4,X4),
inference(er,[status(thm)],[c_0_152]) ).
cnf(c_0_156,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_153,c_0_154]),c_0_154]),c_0_155]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO507+1 : TPTP v8.1.2. Released v7.0.0.
% 0.06/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.32 % Computer : n022.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Tue Aug 29 22:19:38 EDT 2023
% 0.12/0.32 % CPUTime :
% 0.49/0.57 start to proof: theBenchmark
% 12.37/12.73 % Version : CSE_E---1.5
% 12.37/12.73 % Problem : theBenchmark.p
% 12.37/12.73 % Proof found
% 12.37/12.73 % SZS status Theorem for theBenchmark.p
% 12.37/12.73 % SZS output start Proof
% See solution above
% 12.37/12.74 % Total time : 11.923000 s
% 12.37/12.74 % SZS output end Proof
% 12.37/12.74 % Total time : 11.930000 s
%------------------------------------------------------------------------------