TSTP Solution File: GEO504+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO504+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 : n013.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 0.54s 0.84s
% Output : CNFRefutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 41
% Syntax : Number of formulae : 70 ( 15 unt; 34 typ; 0 def)
% Number of atoms : 67 ( 3 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 61 ( 30 ~; 27 |; 4 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 121 ( 27 >; 94 *; 0 +; 0 <<)
% Number of predicates : 16 ( 14 usr; 1 prp; 0-8 aty)
% Number of functors : 20 ( 20 usr; 7 con; 0-6 aty)
% Number of variables : 97 ( 0 sgn; 67 !; 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,
s_afs: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_47,type,
xb: $i ).
tff(decl_48,type,
perpAt: ( $i * $i * $i * $i * $i ) > $o ).
tff(decl_49,type,
f811: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_50,type,
g811: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_51,type,
perp: ( $i * $i * $i * $i ) > $o ).
tff(decl_52,type,
il: ( $i * $i * $i * $i ) > $i ).
tff(decl_53,type,
esk1_0: $i ).
tff(decl_54,type,
esk2_0: $i ).
tff(decl_55,type,
esk3_0: $i ).
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/sandbox2/benchmark/theBenchmark.p',d_Defn8_1) ).
fof(aSatz8_2,conjecture,
! [X12,X15,X14] :
( ~ s_r(X12,X15,X14)
| s_r(X14,X15,X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz8_2) ).
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(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/sandbox2/benchmark/Axioms/GEO011+0.ax',aA2) ).
fof(aSatz7_13,axiom,
! [X13,X16,X12] : s_e(X13,X16,s(X12,X13),s(X12,X16)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_13) ).
fof(aSatz7_7,axiom,
! [X12,X13] : s(X12,s(X12,X13)) = X13,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_7) ).
fof(aSatz2_14,axiom,
! [X12,X15,X14,X17] :
( ~ s_e(X12,X15,X14,X17)
| s_e(X15,X12,X17,X14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz2_14) ).
fof(c_0_7,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]) ).
fof(c_0_8,negated_conjecture,
~ ! [X12,X15,X14] :
( ~ s_r(X12,X15,X14)
| s_r(X14,X15,X12) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[aSatz8_2])]) ).
fof(c_0_9,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_10,plain,
! [X544,X545,X546] :
( ( ~ s_r(X544,X545,X546)
| s_e(X544,X546,X544,s(X545,X546)) )
& ( s_r(X544,X545,X546)
| ~ s_e(X544,X546,X544,s(X545,X546)) ) ),
inference(variable_rename,[status(thm)],[c_0_7]) ).
fof(c_0_11,negated_conjecture,
( s_r(esk1_0,esk2_0,esk3_0)
& ~ s_r(esk3_0,esk2_0,esk1_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])]) ).
fof(c_0_12,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_13,plain,
! [X75,X76,X77,X78] :
( ~ s_e(X75,X76,X77,X78)
| s_e(X77,X78,X75,X76) ),
inference(variable_rename,[status(thm)],[c_0_9]) ).
cnf(c_0_14,plain,
( s_e(X1,X3,X1,s(X2,X3))
| ~ s_r(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,negated_conjecture,
s_r(esk1_0,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_16,plain,
! [X45,X46,X47,X48,X49,X50] :
( ~ s_e(X45,X46,X47,X48)
| ~ s_e(X45,X46,X49,X50)
| s_e(X47,X48,X49,X50) ),
inference(variable_rename,[status(thm)],[c_0_12]) ).
cnf(c_0_17,plain,
( s_e(X3,X4,X1,X2)
| ~ s_e(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_18,negated_conjecture,
s_e(esk1_0,esk3_0,esk1_0,s(esk2_0,esk3_0)),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
fof(c_0_19,plain,
! [X423,X424,X425] : s_e(X423,X424,s(X425,X423),s(X425,X424)),
inference(variable_rename,[status(thm)],[aSatz7_13]) ).
fof(c_0_20,plain,
! [X410,X411] : s(X410,s(X410,X411)) = X411,
inference(variable_rename,[status(thm)],[aSatz7_7]) ).
cnf(c_0_21,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_16]) ).
cnf(c_0_22,negated_conjecture,
s_e(esk1_0,s(esk2_0,esk3_0),esk1_0,esk3_0),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_23,plain,
s_e(X1,X2,s(X3,X1),s(X3,X2)),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_24,plain,
s(X1,s(X1,X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_25,plain,
! [X12,X15,X14,X17] :
( ~ s_e(X12,X15,X14,X17)
| s_e(X15,X12,X17,X14) ),
inference(fof_simplification,[status(thm)],[aSatz2_14]) ).
cnf(c_0_26,negated_conjecture,
( s_e(X1,X2,esk1_0,esk3_0)
| ~ s_e(esk1_0,s(esk2_0,esk3_0),X1,X2) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_27,plain,
s_e(X1,s(X2,X3),s(X2,X1),X3),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
fof(c_0_28,plain,
! [X109,X110,X111,X112] :
( ~ s_e(X109,X110,X111,X112)
| s_e(X110,X109,X112,X111) ),
inference(variable_rename,[status(thm)],[c_0_25]) ).
cnf(c_0_29,negated_conjecture,
s_e(s(esk2_0,esk1_0),esk3_0,esk1_0,esk3_0),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_30,plain,
( s_e(X2,X1,X4,X3)
| ~ s_e(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_31,negated_conjecture,
s_e(esk1_0,esk3_0,s(esk2_0,esk1_0),esk3_0),
inference(spm,[status(thm)],[c_0_17,c_0_29]) ).
cnf(c_0_32,plain,
( s_r(X1,X2,X3)
| ~ s_e(X1,X3,X1,s(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_33,negated_conjecture,
s_e(esk3_0,esk1_0,esk3_0,s(esk2_0,esk1_0)),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_34,negated_conjecture,
~ s_r(esk3_0,esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_35,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO504+1 : TPTP v8.1.2. Released v7.0.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n013.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 22:04:32 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.58 start to proof: theBenchmark
% 0.54/0.84 % Version : CSE_E---1.5
% 0.54/0.84 % Problem : theBenchmark.p
% 0.54/0.84 % Proof found
% 0.54/0.84 % SZS status Theorem for theBenchmark.p
% 0.54/0.84 % SZS output start Proof
% See solution above
% 0.55/0.85 % Total time : 0.249000 s
% 0.55/0.85 % SZS output end Proof
% 0.55/0.85 % Total time : 0.256000 s
%------------------------------------------------------------------------------