TSTP Solution File: GEO495+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO495+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 : n006.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 22:48:25 EDT 2023
% Result : Theorem 55.77s 55.80s
% Output : CNFRefutation 55.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 40
% Syntax : Number of formulae : 127 ( 36 unt; 21 typ; 0 def)
% Number of atoms : 245 ( 21 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 265 ( 126 ~; 123 |; 16 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 72 ( 14 >; 58 *; 0 +; 0 <<)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-6 aty)
% Number of variables : 324 ( 14 sgn; 207 !; 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,
s_afs: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_39,type,
esk1_0: $i ).
tff(decl_40,type,
esk2_0: $i ).
tff(decl_41,type,
esk3_0: $i ).
tff(decl_42,type,
esk4_0: $i ).
fof(d_Defn5_4,axiom,
! [X12,X15,X14,X17,X2] :
( ( ~ le(X12,X15,X14,X17)
| s_t(X14,insert(X12,X15,X14,X17),X17) )
& ( ~ le(X12,X15,X14,X17)
| s_e(X12,X15,X14,insert(X12,X15,X14,X17)) )
& ( ~ s_t(X14,X2,X17)
| ~ s_e(X12,X15,X14,X2)
| le(X12,X15,X14,X17) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_Defn5_4) ).
fof(aSatz5_8,axiom,
! [X12,X15,X14,X17,X18,X19] :
( ~ le(X12,X15,X14,X17)
| ~ le(X14,X17,X18,X19)
| le(X12,X15,X18,X19) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz5_8) ).
fof(aSatz5_9,conjecture,
! [X12,X15,X14,X17] :
( ~ le(X12,X15,X14,X17)
| ~ le(X14,X17,X12,X15)
| s_e(X12,X15,X14,X17) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz5_9) ).
fof(aA1,axiom,
! [X1,X2] : s_e(X1,X2,X2,X1),
file('/export/starexec/sandbox/benchmark/Axioms/GEO011+0.ax',aA1) ).
fof(aSatz3_1,axiom,
! [X12,X15] : s_t(X12,X15,X15),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz3_1) ).
fof(aSatz5_5a,axiom,
! [X12,X15,X14,X17] :
( ( ~ le(X12,X15,X14,X17)
| s_t(X12,X15,ins(X14,X17,X12,X15)) )
& ( ~ le(X12,X15,X14,X17)
| s_e(X12,ins(X14,X17,X12,X15),X14,X17) )
& ( ~ le(X12,X15,X14,X17)
| ins(X14,X17,X12,X15) = ext(X12,X15,insert(X12,X15,X14,X17),X17) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz5_5a) ).
fof(aSatz5_5b,axiom,
! [X12,X15,X14,X17,X18] :
( le(X12,X15,X14,X17)
| ~ s_t(X12,X15,X18)
| ~ s_e(X12,X18,X14,X17) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz5_5b) ).
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/benchmark/theBenchmark.p',aSatz3_6b) ).
fof(aA4,axiom,
! [X1,X2,X7,X4] :
( s_t(X1,X2,ext(X1,X2,X7,X4))
& s_e(X2,ext(X1,X2,X7,X4),X7,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO011+0.ax',aA4) ).
fof(d_insert,axiom,
! [X12,X15,X20,X22] : insert(X12,X15,X20,X22) = ext(ext(X22,X20,alpha,gamma),X20,X12,X15),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_insert) ).
fof(aSatz2_2,axiom,
! [X12,X15,X14,X17] :
( ~ s_e(X12,X15,X14,X17)
| s_e(X14,X17,X12,X15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz2_2) ).
fof(aSatz3_6a,axiom,
! [X12,X15,X14,X17] :
( ~ s_t(X12,X15,X14)
| ~ s_t(X12,X14,X17)
| s_t(X15,X14,X17) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz3_6a) ).
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/benchmark/theBenchmark.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/benchmark/theBenchmark.p',aSatz2_14) ).
fof(aSatz3_2,axiom,
! [X12,X15,X14] :
( ~ s_t(X12,X15,X14)
| s_t(X14,X15,X12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz3_2) ).
fof(aSatz3_4,axiom,
! [X12,X15,X14] :
( ~ s_t(X12,X15,X14)
| ~ s_t(X15,X12,X14)
| X12 = X15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz3_4) ).
fof(aSatz3_3,axiom,
! [X20,X21] : s_t(X20,X20,X21),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz3_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/benchmark/Axioms/GEO011+0.ax',aA2) ).
fof(aA3,axiom,
! [X1,X2,X3] :
( ~ s_e(X1,X2,X3,X3)
| X1 = X2 ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO011+0.ax',aA3) ).
fof(c_0_19,plain,
! [X12,X15,X14,X17,X2] :
( ( ~ le(X12,X15,X14,X17)
| s_t(X14,insert(X12,X15,X14,X17),X17) )
& ( ~ le(X12,X15,X14,X17)
| s_e(X12,X15,X14,insert(X12,X15,X14,X17)) )
& ( ~ s_t(X14,X2,X17)
| ~ s_e(X12,X15,X14,X2)
| le(X12,X15,X14,X17) ) ),
inference(fof_simplification,[status(thm)],[d_Defn5_4]) ).
fof(c_0_20,plain,
! [X12,X15,X14,X17,X18,X19] :
( ~ le(X12,X15,X14,X17)
| ~ le(X14,X17,X18,X19)
| le(X12,X15,X18,X19) ),
inference(fof_simplification,[status(thm)],[aSatz5_8]) ).
fof(c_0_21,negated_conjecture,
~ ! [X12,X15,X14,X17] :
( ~ le(X12,X15,X14,X17)
| ~ le(X14,X17,X12,X15)
| s_e(X12,X15,X14,X17) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[aSatz5_9])]) ).
fof(c_0_22,plain,
! [X309,X310,X311,X312,X313] :
( ( ~ le(X309,X310,X311,X312)
| s_t(X311,insert(X309,X310,X311,X312),X312) )
& ( ~ le(X309,X310,X311,X312)
| s_e(X309,X310,X311,insert(X309,X310,X311,X312)) )
& ( ~ s_t(X311,X313,X312)
| ~ s_e(X309,X310,X311,X313)
| le(X309,X310,X311,X312) ) ),
inference(variable_rename,[status(thm)],[c_0_19]) ).
fof(c_0_23,plain,
! [X35,X36] : s_e(X35,X36,X36,X35),
inference(variable_rename,[status(thm)],[aA1]) ).
fof(c_0_24,plain,
! [X262,X263,X264,X265,X266,X267] :
( ~ le(X262,X263,X264,X265)
| ~ le(X264,X265,X266,X267)
| le(X262,X263,X266,X267) ),
inference(variable_rename,[status(thm)],[c_0_20]) ).
fof(c_0_25,negated_conjecture,
( le(esk1_0,esk2_0,esk3_0,esk4_0)
& le(esk3_0,esk4_0,esk1_0,esk2_0)
& ~ s_e(esk1_0,esk2_0,esk3_0,esk4_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])]) ).
cnf(c_0_26,plain,
( le(X4,X5,X1,X3)
| ~ s_t(X1,X2,X3)
| ~ s_e(X4,X5,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_27,plain,
s_e(X1,X2,X2,X1),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_28,plain,
! [X111,X112] : s_t(X111,X112,X112),
inference(variable_rename,[status(thm)],[aSatz3_1]) ).
fof(c_0_29,plain,
! [X12,X15,X14,X17] :
( ( ~ le(X12,X15,X14,X17)
| s_t(X12,X15,ins(X14,X17,X12,X15)) )
& ( ~ le(X12,X15,X14,X17)
| s_e(X12,ins(X14,X17,X12,X15),X14,X17) )
& ( ~ le(X12,X15,X14,X17)
| ins(X14,X17,X12,X15) = ext(X12,X15,insert(X12,X15,X14,X17),X17) ) ),
inference(fof_simplification,[status(thm)],[aSatz5_5a]) ).
cnf(c_0_30,plain,
( le(X1,X2,X5,X6)
| ~ le(X1,X2,X3,X4)
| ~ le(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_31,negated_conjecture,
le(esk3_0,esk4_0,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_32,plain,
( le(X1,X2,X2,X3)
| ~ s_t(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_33,plain,
s_t(X1,X2,X2),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_34,plain,
! [X12,X15,X14,X17,X18] :
( le(X12,X15,X14,X17)
| ~ s_t(X12,X15,X18)
| ~ s_e(X12,X18,X14,X17) ),
inference(fof_simplification,[status(thm)],[aSatz5_5b]) ).
fof(c_0_35,plain,
! [X243,X244,X245,X246] :
( ( ~ le(X243,X244,X245,X246)
| s_t(X243,X244,ins(X245,X246,X243,X244)) )
& ( ~ le(X243,X244,X245,X246)
| s_e(X243,ins(X245,X246,X243,X244),X245,X246) )
& ( ~ le(X243,X244,X245,X246)
| ins(X245,X246,X243,X244) = ext(X243,X244,insert(X243,X244,X245,X246),X246) ) ),
inference(variable_rename,[status(thm)],[c_0_29]) ).
cnf(c_0_36,negated_conjecture,
( le(X1,X2,esk1_0,esk2_0)
| ~ le(X1,X2,esk3_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_37,plain,
le(X1,X2,X2,X1),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
fof(c_0_38,plain,
! [X247,X248,X249,X250,X251] :
( le(X247,X248,X249,X250)
| ~ s_t(X247,X248,X251)
| ~ s_e(X247,X251,X249,X250) ),
inference(variable_rename,[status(thm)],[c_0_34]) ).
cnf(c_0_39,plain,
( s_e(X1,ins(X3,X4,X1,X2),X3,X4)
| ~ le(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_40,negated_conjecture,
le(esk4_0,esk3_0,esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_41,plain,
( le(X1,X2,X3,X4)
| ~ s_t(X1,X2,X5)
| ~ s_e(X1,X5,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_42,negated_conjecture,
s_e(esk4_0,ins(esk1_0,esk2_0,esk4_0,esk3_0),esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
fof(c_0_43,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_44,negated_conjecture,
le(esk1_0,esk2_0,esk3_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_45,negated_conjecture,
( le(esk4_0,X1,esk1_0,esk2_0)
| ~ s_t(esk4_0,X1,ins(esk1_0,esk2_0,esk4_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
fof(c_0_46,plain,
! [X137,X138,X139,X140] :
( ~ s_t(X137,X138,X139)
| ~ s_t(X137,X139,X140)
| s_t(X137,X138,X140) ),
inference(variable_rename,[status(thm)],[c_0_43]) ).
fof(c_0_47,plain,
! [X46,X47,X48,X49] :
( s_t(X46,X47,ext(X46,X47,X48,X49))
& s_e(X47,ext(X46,X47,X48,X49),X48,X49) ),
inference(variable_rename,[status(thm)],[aA4]) ).
fof(c_0_48,plain,
! [X272,X273,X274,X275] : insert(X272,X273,X274,X275) = ext(ext(X275,X274,alpha,gamma),X274,X272,X273),
inference(variable_rename,[status(thm)],[d_insert]) ).
fof(c_0_49,plain,
! [X12,X15,X14,X17] :
( ~ s_e(X12,X15,X14,X17)
| s_e(X14,X17,X12,X15) ),
inference(fof_simplification,[status(thm)],[aSatz2_2]) ).
cnf(c_0_50,negated_conjecture,
( le(X1,X2,esk3_0,esk4_0)
| ~ le(X1,X2,esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_30,c_0_44]) ).
cnf(c_0_51,negated_conjecture,
le(esk4_0,ins(esk1_0,esk2_0,esk4_0,esk3_0),esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_45,c_0_33]) ).
cnf(c_0_52,plain,
( s_t(X1,X2,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_53,plain,
s_t(X1,X2,ext(X1,X2,X3,X4)),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_54,plain,
( s_t(X1,X2,ins(X3,X4,X1,X2))
| ~ le(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_55,plain,
( ins(X3,X4,X1,X2) = ext(X1,X2,insert(X1,X2,X3,X4),X4)
| ~ le(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_56,plain,
insert(X1,X2,X3,X4) = ext(ext(X4,X3,alpha,gamma),X3,X1,X2),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
fof(c_0_57,plain,
! [X12,X15,X14,X17] :
( ~ s_t(X12,X15,X14)
| ~ s_t(X12,X14,X17)
| s_t(X15,X14,X17) ),
inference(fof_simplification,[status(thm)],[aSatz3_6a]) ).
fof(c_0_58,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]) ).
fof(c_0_59,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_60,plain,
! [X67,X68,X69,X70] :
( ~ s_e(X67,X68,X69,X70)
| s_e(X69,X70,X67,X68) ),
inference(variable_rename,[status(thm)],[c_0_49]) ).
cnf(c_0_61,negated_conjecture,
le(esk4_0,ins(esk1_0,esk2_0,esk4_0,esk3_0),esk3_0,esk4_0),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
fof(c_0_62,plain,
! [X12,X15,X14] :
( ~ s_t(X12,X15,X14)
| s_t(X14,X15,X12) ),
inference(fof_simplification,[status(thm)],[aSatz3_2]) ).
cnf(c_0_63,plain,
( s_t(X1,X2,ext(X1,X3,X4,X5))
| ~ s_t(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_64,negated_conjecture,
s_t(esk4_0,esk3_0,ins(esk1_0,esk2_0,esk4_0,esk3_0)),
inference(spm,[status(thm)],[c_0_54,c_0_40]) ).
cnf(c_0_65,plain,
( ins(X3,X4,X1,X2) = ext(X1,X2,ext(ext(X4,X3,alpha,gamma),X3,X1,X2),X4)
| ~ le(X1,X2,X3,X4) ),
inference(rw,[status(thm)],[c_0_55,c_0_56]) ).
fof(c_0_66,plain,
! [X125,X126,X127,X128] :
( ~ s_t(X125,X126,X127)
| ~ s_t(X125,X127,X128)
| s_t(X126,X127,X128) ),
inference(variable_rename,[status(thm)],[c_0_57]) ).
fof(c_0_67,plain,
! [X163,X164,X165,X166,X167,X168] :
( ~ s_t(X163,X164,X165)
| ~ s_t(X166,X167,X168)
| ~ s_e(X163,X165,X166,X168)
| ~ s_e(X164,X165,X167,X168)
| s_e(X163,X164,X166,X167) ),
inference(variable_rename,[status(thm)],[c_0_58]) ).
fof(c_0_68,plain,
! [X101,X102,X103,X104] :
( ~ s_e(X101,X102,X103,X104)
| s_e(X102,X101,X104,X103) ),
inference(variable_rename,[status(thm)],[c_0_59]) ).
cnf(c_0_69,plain,
( s_e(X3,X4,X1,X2)
| ~ s_e(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_70,negated_conjecture,
s_e(esk4_0,ins(esk3_0,esk4_0,esk4_0,ins(esk1_0,esk2_0,esk4_0,esk3_0)),esk3_0,esk4_0),
inference(spm,[status(thm)],[c_0_39,c_0_61]) ).
fof(c_0_71,plain,
! [X113,X114,X115] :
( ~ s_t(X113,X114,X115)
| s_t(X115,X114,X113) ),
inference(variable_rename,[status(thm)],[c_0_62]) ).
cnf(c_0_72,negated_conjecture,
s_t(esk4_0,esk3_0,ext(esk4_0,ins(esk1_0,esk2_0,esk4_0,esk3_0),X1,X2)),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_73,negated_conjecture,
ext(esk4_0,ins(esk1_0,esk2_0,esk4_0,esk3_0),ext(ext(esk4_0,esk3_0,alpha,gamma),esk3_0,esk4_0,ins(esk1_0,esk2_0,esk4_0,esk3_0)),esk4_0) = ins(esk3_0,esk4_0,esk4_0,ins(esk1_0,esk2_0,esk4_0,esk3_0)),
inference(spm,[status(thm)],[c_0_65,c_0_61]) ).
fof(c_0_74,plain,
! [X12,X15,X14] :
( ~ s_t(X12,X15,X14)
| ~ s_t(X15,X12,X14)
| X12 = X15 ),
inference(fof_simplification,[status(thm)],[aSatz3_4]) ).
cnf(c_0_75,plain,
( s_t(X2,X3,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_76,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_67]) ).
cnf(c_0_77,plain,
( s_e(X2,X1,X4,X3)
| ~ s_e(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_78,negated_conjecture,
s_e(esk3_0,esk4_0,esk4_0,ins(esk3_0,esk4_0,esk4_0,ins(esk1_0,esk2_0,esk4_0,esk3_0))),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
fof(c_0_79,plain,
! [X116,X117] : s_t(X116,X116,X117),
inference(variable_rename,[status(thm)],[aSatz3_3]) ).
cnf(c_0_80,plain,
( s_t(X3,X2,X1)
| ~ s_t(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_81,negated_conjecture,
s_t(esk4_0,esk3_0,ins(esk3_0,esk4_0,esk4_0,ins(esk1_0,esk2_0,esk4_0,esk3_0))),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
fof(c_0_82,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_83,plain,
! [X118,X119,X120] :
( ~ s_t(X118,X119,X120)
| ~ s_t(X119,X118,X120)
| X118 = X119 ),
inference(variable_rename,[status(thm)],[c_0_74]) ).
cnf(c_0_84,plain,
( s_t(X1,X2,ext(X3,X2,X4,X5))
| ~ s_t(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_75,c_0_53]) ).
fof(c_0_85,plain,
! [X1,X2,X3] :
( ~ s_e(X1,X2,X3,X3)
| X1 = X2 ),
inference(fof_simplification,[status(thm)],[aA3]) ).
cnf(c_0_86,plain,
( s_e(X1,X2,X3,X4)
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X2,X4)
| ~ s_e(X1,X4,X3,X2) ),
inference(spm,[status(thm)],[c_0_76,c_0_27]) ).
cnf(c_0_87,negated_conjecture,
s_e(esk4_0,esk3_0,ins(esk3_0,esk4_0,esk4_0,ins(esk1_0,esk2_0,esk4_0,esk3_0)),esk4_0),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_88,plain,
s_t(X1,X1,X2),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_89,negated_conjecture,
s_t(ins(esk3_0,esk4_0,esk4_0,ins(esk1_0,esk2_0,esk4_0,esk3_0)),esk3_0,esk4_0),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
fof(c_0_90,plain,
! [X37,X38,X39,X40,X41,X42] :
( ~ s_e(X37,X38,X39,X40)
| ~ s_e(X37,X38,X41,X42)
| s_e(X39,X40,X41,X42) ),
inference(variable_rename,[status(thm)],[c_0_82]) ).
cnf(c_0_91,plain,
( X1 = X2
| ~ s_t(X1,X2,X3)
| ~ s_t(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_92,negated_conjecture,
s_t(esk3_0,ins(esk1_0,esk2_0,esk4_0,esk3_0),ext(esk4_0,ins(esk1_0,esk2_0,esk4_0,esk3_0),X1,X2)),
inference(spm,[status(thm)],[c_0_84,c_0_64]) ).
fof(c_0_93,plain,
! [X43,X44,X45] :
( ~ s_e(X43,X44,X45,X45)
| X43 = X44 ),
inference(variable_rename,[status(thm)],[c_0_85]) ).
cnf(c_0_94,negated_conjecture,
s_e(esk4_0,esk4_0,ins(esk3_0,esk4_0,esk4_0,ins(esk1_0,esk2_0,esk4_0,esk3_0)),esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_88])]),c_0_89])]) ).
cnf(c_0_95,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_90]) ).
cnf(c_0_96,negated_conjecture,
( ins(esk1_0,esk2_0,esk4_0,esk3_0) = esk3_0
| ~ s_t(ins(esk1_0,esk2_0,esk4_0,esk3_0),esk3_0,ext(esk4_0,ins(esk1_0,esk2_0,esk4_0,esk3_0),X1,X2)) ),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_97,plain,
( X1 = X2
| ~ s_e(X1,X2,X3,X3) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_98,negated_conjecture,
s_e(ins(esk3_0,esk4_0,esk4_0,ins(esk1_0,esk2_0,esk4_0,esk3_0)),esk3_0,esk4_0,esk4_0),
inference(spm,[status(thm)],[c_0_69,c_0_94]) ).
cnf(c_0_99,plain,
( s_e(X1,X2,X3,X4)
| ~ s_e(X4,X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_95,c_0_27]) ).
cnf(c_0_100,negated_conjecture,
( ins(esk1_0,esk2_0,esk4_0,esk3_0) = esk3_0
| ~ s_t(ins(esk1_0,esk2_0,esk4_0,esk3_0),esk3_0,ins(esk3_0,esk4_0,esk4_0,ins(esk1_0,esk2_0,esk4_0,esk3_0))) ),
inference(spm,[status(thm)],[c_0_96,c_0_73]) ).
cnf(c_0_101,negated_conjecture,
ins(esk3_0,esk4_0,esk4_0,ins(esk1_0,esk2_0,esk4_0,esk3_0)) = esk3_0,
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_102,negated_conjecture,
s_e(esk1_0,esk2_0,ins(esk1_0,esk2_0,esk4_0,esk3_0),esk4_0),
inference(spm,[status(thm)],[c_0_99,c_0_42]) ).
cnf(c_0_103,negated_conjecture,
ins(esk1_0,esk2_0,esk4_0,esk3_0) = esk3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_100,c_0_101]),c_0_33])]) ).
cnf(c_0_104,negated_conjecture,
~ s_e(esk1_0,esk2_0,esk3_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_105,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_102,c_0_103]),c_0_104]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO495+1 : TPTP v8.1.2. Released v7.0.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n006.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 21:40:36 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.57 start to proof: theBenchmark
% 55.77/55.80 % Version : CSE_E---1.5
% 55.77/55.80 % Problem : theBenchmark.p
% 55.77/55.80 % Proof found
% 55.77/55.80 % SZS status Theorem for theBenchmark.p
% 55.77/55.80 % SZS output start Proof
% See solution above
% 55.77/55.81 % Total time : 55.223000 s
% 55.77/55.81 % SZS output end Proof
% 55.77/55.81 % Total time : 55.230000 s
%------------------------------------------------------------------------------