TSTP Solution File: GEO497+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO497+1 : TPTP v8.1.2. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n011.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 0.20s 0.62s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 32
% Syntax : Number of formulae : 67 ( 16 unt; 24 typ; 0 def)
% Number of atoms : 113 ( 53 equ)
% Maximal formula atoms : 18 ( 2 avg)
% Number of connectives : 126 ( 56 ~; 58 |; 12 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 78 ( 16 >; 62 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-8 aty)
% Number of functors : 15 ( 15 usr; 8 con; 0-6 aty)
% Number of variables : 105 ( 6 sgn; 70 !; 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,
s_afs: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_41,type,
xb: $i ).
tff(decl_42,type,
esk1_0: $i ).
tff(decl_43,type,
esk2_0: $i ).
tff(decl_44,type,
esk3_0: $i ).
tff(decl_45,type,
esk4_0: $i ).
fof(aSatz6_11a,conjecture,
! [X27,X12,X15,X14] :
( ( X27 = X12
| X15 = X14
| sameside(insert(X15,X14,X12,X27),X12,X27) )
& ( X27 = X12
| X15 = X14
| s_e(X12,insert(X15,X14,X12,X27),X15,X14) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz6_11a) ).
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/sandbox2/benchmark/theBenchmark.p',d_insert) ).
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/sandbox2/benchmark/Axioms/GEO011+0.ax',aA4) ).
fof(aSatz6_2a,axiom,
! [X12,X13,X15,X14] :
( X12 = X13
| X15 = X13
| X14 = X13
| ~ s_t(X12,X13,X14)
| ~ s_t(X15,X13,X14)
| sameside(X12,X13,X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz6_2a) ).
fof(aSatz3_2,axiom,
! [X12,X15,X14] :
( ~ s_t(X12,X15,X14)
| s_t(X14,X15,X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz3_2) ).
fof(aSatz3_14b,axiom,
! [X15,X12] : X15 != ext(X12,X15,alpha,gamma),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz3_14b) ).
fof(aSatz2_2,axiom,
! [X12,X15,X14,X17] :
( ~ s_e(X12,X15,X14,X17)
| s_e(X14,X17,X12,X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz2_2) ).
fof(aA3,axiom,
! [X1,X2,X3] :
( ~ s_e(X1,X2,X3,X3)
| X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO011+0.ax',aA3) ).
fof(c_0_8,negated_conjecture,
~ ! [X27,X12,X15,X14] :
( ( X27 = X12
| X15 = X14
| sameside(insert(X15,X14,X12,X27),X12,X27) )
& ( X27 = X12
| X15 = X14
| s_e(X12,insert(X15,X14,X12,X27),X15,X14) ) ),
inference(assume_negation,[status(cth)],[aSatz6_11a]) ).
fof(c_0_9,negated_conjecture,
( ( esk1_0 != esk2_0
| esk1_0 != esk2_0 )
& ( esk3_0 != esk4_0
| esk1_0 != esk2_0 )
& ( ~ s_e(esk2_0,insert(esk3_0,esk4_0,esk2_0,esk1_0),esk3_0,esk4_0)
| esk1_0 != esk2_0 )
& ( esk1_0 != esk2_0
| esk3_0 != esk4_0 )
& ( esk3_0 != esk4_0
| esk3_0 != esk4_0 )
& ( ~ s_e(esk2_0,insert(esk3_0,esk4_0,esk2_0,esk1_0),esk3_0,esk4_0)
| esk3_0 != esk4_0 )
& ( esk1_0 != esk2_0
| ~ sameside(insert(esk3_0,esk4_0,esk2_0,esk1_0),esk2_0,esk1_0) )
& ( esk3_0 != esk4_0
| ~ sameside(insert(esk3_0,esk4_0,esk2_0,esk1_0),esk2_0,esk1_0) )
& ( ~ s_e(esk2_0,insert(esk3_0,esk4_0,esk2_0,esk1_0),esk3_0,esk4_0)
| ~ sameside(insert(esk3_0,esk4_0,esk2_0,esk1_0),esk2_0,esk1_0) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])]) ).
fof(c_0_10,plain,
! [X326,X327,X328,X329] : insert(X326,X327,X328,X329) = ext(ext(X329,X328,alpha,gamma),X328,X326,X327),
inference(variable_rename,[status(thm)],[d_insert]) ).
cnf(c_0_11,negated_conjecture,
( ~ s_e(esk2_0,insert(esk3_0,esk4_0,esk2_0,esk1_0),esk3_0,esk4_0)
| ~ sameside(insert(esk3_0,esk4_0,esk2_0,esk1_0),esk2_0,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_12,plain,
insert(X1,X2,X3,X4) = ext(ext(X4,X3,alpha,gamma),X3,X1,X2),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_13,plain,
! [X47,X48,X49,X50] :
( s_t(X47,X48,ext(X47,X48,X49,X50))
& s_e(X48,ext(X47,X48,X49,X50),X49,X50) ),
inference(variable_rename,[status(thm)],[aA4]) ).
fof(c_0_14,plain,
! [X12,X13,X15,X14] :
( X12 = X13
| X15 = X13
| X14 = X13
| ~ s_t(X12,X13,X14)
| ~ s_t(X15,X13,X14)
| sameside(X12,X13,X15) ),
inference(fof_simplification,[status(thm)],[aSatz6_2a]) ).
cnf(c_0_15,negated_conjecture,
( ~ sameside(ext(ext(esk1_0,esk2_0,alpha,gamma),esk2_0,esk3_0,esk4_0),esk2_0,esk1_0)
| ~ s_e(esk2_0,ext(ext(esk1_0,esk2_0,alpha,gamma),esk2_0,esk3_0,esk4_0),esk3_0,esk4_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_12]),c_0_12]) ).
cnf(c_0_16,plain,
s_e(X1,ext(X2,X1,X3,X4),X3,X4),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_17,plain,
! [X292,X293,X294,X295] :
( X292 = X293
| X294 = X293
| X295 = X293
| ~ s_t(X292,X293,X295)
| ~ s_t(X294,X293,X295)
| sameside(X292,X293,X294) ),
inference(variable_rename,[status(thm)],[c_0_14]) ).
cnf(c_0_18,negated_conjecture,
( esk1_0 != esk2_0
| esk1_0 != esk2_0 ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_19,plain,
! [X12,X15,X14] :
( ~ s_t(X12,X15,X14)
| s_t(X14,X15,X12) ),
inference(fof_simplification,[status(thm)],[aSatz3_2]) ).
cnf(c_0_20,negated_conjecture,
~ sameside(ext(ext(esk1_0,esk2_0,alpha,gamma),esk2_0,esk3_0,esk4_0),esk2_0,esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_16])]) ).
cnf(c_0_21,plain,
( X1 = X2
| X3 = X2
| X4 = X2
| sameside(X1,X2,X3)
| ~ s_t(X1,X2,X4)
| ~ s_t(X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_22,negated_conjecture,
esk2_0 != esk1_0,
inference(cn,[status(thm)],[c_0_18]) ).
fof(c_0_23,plain,
! [X114,X115,X116] :
( ~ s_t(X114,X115,X116)
| s_t(X116,X115,X114) ),
inference(variable_rename,[status(thm)],[c_0_19]) ).
cnf(c_0_24,negated_conjecture,
( ext(ext(esk1_0,esk2_0,alpha,gamma),esk2_0,esk3_0,esk4_0) = esk2_0
| esk2_0 = X1
| ~ s_t(ext(ext(esk1_0,esk2_0,alpha,gamma),esk2_0,esk3_0,esk4_0),esk2_0,X1)
| ~ s_t(esk1_0,esk2_0,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]) ).
cnf(c_0_25,plain,
s_t(X1,X2,ext(X1,X2,X3,X4)),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_26,plain,
( s_t(X3,X2,X1)
| ~ s_t(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_27,plain,
! [X148,X149] : X148 != ext(X149,X148,alpha,gamma),
inference(variable_rename,[status(thm)],[aSatz3_14b]) ).
fof(c_0_28,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_29,negated_conjecture,
( ext(ext(esk1_0,esk2_0,alpha,gamma),esk2_0,esk3_0,esk4_0) = esk2_0
| ext(esk1_0,esk2_0,X1,X2) = esk2_0
| ~ s_t(ext(ext(esk1_0,esk2_0,alpha,gamma),esk2_0,esk3_0,esk4_0),esk2_0,ext(esk1_0,esk2_0,X1,X2)) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_30,plain,
s_t(ext(X1,X2,X3,X4),X2,X1),
inference(spm,[status(thm)],[c_0_26,c_0_25]) ).
cnf(c_0_31,plain,
X1 != ext(X2,X1,alpha,gamma),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_32,plain,
! [X1,X2,X3] :
( ~ s_e(X1,X2,X3,X3)
| X1 = X2 ),
inference(fof_simplification,[status(thm)],[aA3]) ).
fof(c_0_33,plain,
! [X68,X69,X70,X71] :
( ~ s_e(X68,X69,X70,X71)
| s_e(X70,X71,X68,X69) ),
inference(variable_rename,[status(thm)],[c_0_28]) ).
cnf(c_0_34,negated_conjecture,
ext(ext(esk1_0,esk2_0,alpha,gamma),esk2_0,esk3_0,esk4_0) = esk2_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]) ).
fof(c_0_35,plain,
! [X44,X45,X46] :
( ~ s_e(X44,X45,X46,X46)
| X44 = X45 ),
inference(variable_rename,[status(thm)],[c_0_32]) ).
cnf(c_0_36,plain,
( s_e(X3,X4,X1,X2)
| ~ s_e(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_37,negated_conjecture,
s_e(esk2_0,esk2_0,esk3_0,esk4_0),
inference(spm,[status(thm)],[c_0_16,c_0_34]) ).
cnf(c_0_38,negated_conjecture,
( esk3_0 != esk4_0
| esk3_0 != esk4_0 ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_39,plain,
( X1 = X2
| ~ s_e(X1,X2,X3,X3) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_40,negated_conjecture,
s_e(esk3_0,esk4_0,esk2_0,esk2_0),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_41,negated_conjecture,
esk4_0 != esk3_0,
inference(cn,[status(thm)],[c_0_38]) ).
cnf(c_0_42,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GEO497+1 : TPTP v8.1.2. Released v7.0.0.
% 0.08/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n011.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 22:21:57 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.58 start to proof: theBenchmark
% 0.20/0.62 % Version : CSE_E---1.5
% 0.20/0.62 % Problem : theBenchmark.p
% 0.20/0.62 % Proof found
% 0.20/0.62 % SZS status Theorem for theBenchmark.p
% 0.20/0.62 % SZS output start Proof
% See solution above
% 0.20/0.63 % Total time : 0.035000 s
% 0.20/0.63 % SZS output end Proof
% 0.20/0.63 % Total time : 0.040000 s
%------------------------------------------------------------------------------