TSTP Solution File: GEO523+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO523+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 : n005.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 22:48:30 EDT 2023
% Result : Theorem 0.16s 0.57s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 64
% Syntax : Number of formulae : 96 ( 15 unt; 56 typ; 0 def)
% Number of atoms : 95 ( 59 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 88 ( 33 ~; 48 |; 7 &)
% ( 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 : 181 ( 43 >; 138 *; 0 +; 0 <<)
% Number of predicates : 18 ( 16 usr; 1 prp; 0-8 aty)
% Number of functors : 40 ( 40 usr; 13 con; 0-6 aty)
% Number of variables : 94 ( 0 sgn; 61 !; 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,
il: ( $i * $i * $i * $i ) > $i ).
tff(decl_51,type,
foot: ( $i * $i * $i ) > $i ).
tff(decl_52,type,
erect21a: ( $i * $i * $i ) > $i ).
tff(decl_53,type,
erectAux21a: ( $i * $i * $i ) > $i ).
tff(decl_54,type,
erect: ( $i * $i * $i ) > $i ).
tff(decl_55,type,
erectAux: ( $i * $i * $i ) > $i ).
tff(decl_56,type,
midpointAux: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_57,type,
midpoint: ( $i * $i ) > $i ).
tff(decl_58,type,
xa: $i ).
tff(decl_59,type,
xb: $i ).
tff(decl_60,type,
xp: $i ).
tff(decl_61,type,
xq: $i ).
tff(decl_62,type,
xc: $i ).
tff(decl_63,type,
xd: $i ).
tff(decl_64,type,
samesideline: ( $i * $i * $i * $i ) > $o ).
tff(decl_65,type,
opposite: ( $i * $i * $i * $i ) > $o ).
tff(decl_66,type,
op: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_67,type,
reflect: ( $i * $i * $i ) > $i ).
tff(decl_68,type,
s_afs: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_69,type,
f811: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_70,type,
g811: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_71,type,
ss1: ( $i * $i * $i * $i ) > $i ).
tff(decl_72,type,
ss2: ( $i * $i * $i * $i ) > $i ).
tff(decl_73,type,
ss3: ( $i * $i * $i * $i ) > $i ).
tff(decl_74,type,
esk1_0: $i ).
tff(decl_75,type,
esk2_0: $i ).
tff(decl_76,type,
esk3_0: $i ).
tff(decl_77,type,
esk4_0: $i ).
fof(aSatz7_6,axiom,
! [X13,X12,X16] :
( ~ s_m(X13,X12,X16)
| X16 = s(X12,X13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_6) ).
fof(aSatz10_4,conjecture,
! [X12,X15,X13,X37] :
( X12 = X15
| reflect(X12,X15,X13) != X37
| reflect(X12,X15,X37) = X13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz10_4) ).
fof(aSatz7_18,axiom,
! [X12,X13,X15] :
( s(X12,X13) != s(X15,X13)
| X12 = X15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_18) ).
fof(aSatz7_7,axiom,
! [X12,X13] : s(X12,s(X12,X13)) = X13,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_7) ).
fof(aSatz8_22,axiom,
! [X12,X15] : s_m(X12,midpoint(X12,X15),X15),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_22) ).
fof(aExtPerp4,axiom,
! [X12,X15,X13,X16] :
( ~ perp(X12,X15,X13,X16)
| perp(X12,X15,X16,X13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aExtPerp4) ).
fof(aSatz10_2a,axiom,
! [X12,X15,X13] :
( ( X12 = X15
| s_col(X12,X15,midpoint(X13,reflect(X12,X15,X13))) )
& ( X12 = X15
| X13 = reflect(X12,X15,X13)
| perp(X12,X15,X13,reflect(X12,X15,X13)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz10_2a) ).
fof(aSatz10_2b,axiom,
! [X12,X15,X13,X37] :
( ( X12 = X15
| ~ s_col(X12,X15,midpoint(X13,X37))
| ~ perp(X12,X15,X13,X37)
| X37 = reflect(X12,X15,X13) )
& ( X12 = X15
| ~ s_col(X12,X15,midpoint(X13,X37))
| X13 != X37
| X37 = reflect(X12,X15,X13) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz10_2b) ).
fof(c_0_8,plain,
! [X13,X12,X16] :
( ~ s_m(X13,X12,X16)
| X16 = s(X12,X13) ),
inference(fof_simplification,[status(thm)],[aSatz7_6]) ).
fof(c_0_9,negated_conjecture,
~ ! [X12,X15,X13,X37] :
( X12 = X15
| reflect(X12,X15,X13) != X37
| reflect(X12,X15,X37) = X13 ),
inference(assume_negation,[status(cth)],[aSatz10_4]) ).
fof(c_0_10,plain,
! [X452,X453,X454] :
( s(X452,X453) != s(X454,X453)
| X452 = X454 ),
inference(variable_rename,[status(thm)],[aSatz7_18]) ).
fof(c_0_11,plain,
! [X414,X415] : s(X414,s(X414,X415)) = X415,
inference(variable_rename,[status(thm)],[aSatz7_7]) ).
fof(c_0_12,plain,
! [X411,X412,X413] :
( ~ s_m(X411,X412,X413)
| X413 = s(X412,X411) ),
inference(variable_rename,[status(thm)],[c_0_8]) ).
fof(c_0_13,plain,
! [X605,X606] : s_m(X605,midpoint(X605,X606),X606),
inference(variable_rename,[status(thm)],[aSatz8_22]) ).
fof(c_0_14,plain,
! [X12,X15,X13,X16] :
( ~ perp(X12,X15,X13,X16)
| perp(X12,X15,X16,X13) ),
inference(fof_simplification,[status(thm)],[aExtPerp4]) ).
fof(c_0_15,plain,
! [X805,X806,X807] :
( ( X805 = X806
| s_col(X805,X806,midpoint(X807,reflect(X805,X806,X807))) )
& ( X805 = X806
| X807 = reflect(X805,X806,X807)
| perp(X805,X806,X807,reflect(X805,X806,X807)) ) ),
inference(variable_rename,[status(thm)],[aSatz10_2a]) ).
fof(c_0_16,negated_conjecture,
( esk1_0 != esk2_0
& reflect(esk1_0,esk2_0,esk3_0) = esk4_0
& reflect(esk1_0,esk2_0,esk4_0) != esk3_0 ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])]) ).
cnf(c_0_17,plain,
( X1 = X3
| s(X1,X2) != s(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_18,plain,
s(X1,s(X1,X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_19,plain,
( X3 = s(X2,X1)
| ~ s_m(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_20,plain,
s_m(X1,midpoint(X1,X2),X2),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_21,plain,
! [X12,X15,X13,X37] :
( ( X12 = X15
| ~ s_col(X12,X15,midpoint(X13,X37))
| ~ perp(X12,X15,X13,X37)
| X37 = reflect(X12,X15,X13) )
& ( X12 = X15
| ~ s_col(X12,X15,midpoint(X13,X37))
| X13 != X37
| X37 = reflect(X12,X15,X13) ) ),
inference(fof_simplification,[status(thm)],[aSatz10_2b]) ).
fof(c_0_22,plain,
! [X648,X649,X650,X651] :
( ~ perp(X648,X649,X650,X651)
| perp(X648,X649,X651,X650) ),
inference(variable_rename,[status(thm)],[c_0_14]) ).
cnf(c_0_23,plain,
( X1 = X2
| X3 = reflect(X1,X2,X3)
| perp(X1,X2,X3,reflect(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_24,negated_conjecture,
reflect(esk1_0,esk2_0,esk3_0) = esk4_0,
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_25,negated_conjecture,
esk1_0 != esk2_0,
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_26,plain,
( X1 = X2
| s(X1,s(X2,X3)) != X3 ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_27,plain,
s(midpoint(X1,X2),X1) = X2,
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
fof(c_0_28,plain,
! [X808,X809,X810,X811] :
( ( X808 = X809
| ~ s_col(X808,X809,midpoint(X810,X811))
| ~ perp(X808,X809,X810,X811)
| X811 = reflect(X808,X809,X810) )
& ( X808 = X809
| ~ s_col(X808,X809,midpoint(X810,X811))
| X810 != X811
| X811 = reflect(X808,X809,X810) ) ),
inference(variable_rename,[status(thm)],[c_0_21]) ).
cnf(c_0_29,plain,
( perp(X1,X2,X4,X3)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_30,negated_conjecture,
( esk4_0 = esk3_0
| perp(esk1_0,esk2_0,esk3_0,esk4_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]) ).
cnf(c_0_31,plain,
midpoint(s(X1,X2),X2) = X1,
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27])]) ).
cnf(c_0_32,plain,
( X1 = X2
| s_col(X1,X2,midpoint(X3,reflect(X1,X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_33,plain,
( X1 = X2
| X4 = reflect(X1,X2,X3)
| ~ s_col(X1,X2,midpoint(X3,X4))
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_34,negated_conjecture,
( esk4_0 = esk3_0
| perp(esk1_0,esk2_0,esk4_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_35,negated_conjecture,
reflect(esk1_0,esk2_0,esk4_0) != esk3_0,
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_36,plain,
midpoint(X1,X2) = midpoint(X2,X1),
inference(spm,[status(thm)],[c_0_31,c_0_27]) ).
cnf(c_0_37,negated_conjecture,
s_col(esk1_0,esk2_0,midpoint(esk3_0,esk4_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_24]),c_0_25]) ).
cnf(c_0_38,negated_conjecture,
esk4_0 = esk3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]),c_0_25]),c_0_36]),c_0_37])]) ).
cnf(c_0_39,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_38]),c_0_24]),c_0_38])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : GEO523+1 : TPTP v8.1.2. Released v7.0.0.
% 0.06/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.11/0.33 % Computer : n005.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Tue Aug 29 19:27:37 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.16/0.52 start to proof: theBenchmark
% 0.16/0.57 % Version : CSE_E---1.5
% 0.16/0.57 % Problem : theBenchmark.p
% 0.16/0.57 % Proof found
% 0.16/0.57 % SZS status Theorem for theBenchmark.p
% 0.16/0.57 % SZS output start Proof
% See solution above
% 0.16/0.57 % Total time : 0.042000 s
% 0.16/0.57 % SZS output end Proof
% 0.16/0.57 % Total time : 0.047000 s
%------------------------------------------------------------------------------