TSTP Solution File: GEO275+1 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO275+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n025.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 22:47:38 EDT 2023
% Result : Theorem 0.19s 0.83s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 87
% Syntax : Number of formulae : 105 ( 9 unt; 83 typ; 0 def)
% Number of atoms : 80 ( 23 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 98 ( 40 ~; 36 |; 19 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 249 ( 68 >; 181 *; 0 +; 0 <<)
% Number of predicates : 16 ( 14 usr; 1 prp; 0-3 aty)
% Number of functors : 69 ( 69 usr; 15 con; 0-18 aty)
% Number of variables : 36 ( 0 sgn; 14 !; 3 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
vd1081: $i ).
tff(decl_23,type,
ron: ( $i * $i ) > $o ).
tff(decl_24,type,
vd1080: $i ).
tff(decl_25,type,
rcenter: ( $i * $i ) > $o ).
tff(decl_26,type,
rcircle: $i > $o ).
tff(decl_27,type,
vd1095: $i ).
tff(decl_28,type,
vd1091: $i ).
tff(decl_29,type,
vskolem1092: $i ).
tff(decl_30,type,
vd1089: $i ).
tff(decl_31,type,
rline: $i > $o ).
tff(decl_32,type,
rpoint: $i > $o ).
tff(decl_33,type,
vf: ( $i * $i ) > $i ).
tff(decl_34,type,
vd1085: $i ).
tff(decl_35,type,
vd1086: $i ).
tff(decl_36,type,
vskolem1052: ( $i * $i * $i * $i ) > $i ).
tff(decl_37,type,
v0: $i ).
tff(decl_38,type,
rR: ( $i * $i * $i ) > $o ).
tff(decl_39,type,
rinside: ( $i * $i ) > $o ).
tff(decl_40,type,
rS: ( $i * $i * $i ) > $o ).
tff(decl_41,type,
vangle: ( $i * $i * $i ) > $i ).
tff(decl_42,type,
vplus: ( $i * $i ) > $i ).
tff(decl_43,type,
rreal: $i > $o ).
tff(decl_44,type,
vg: ( $i * $i * $i ) > $i ).
tff(decl_45,type,
rleq: ( $i * $i ) > $o ).
tff(decl_46,type,
rless: ( $i * $i ) > $o ).
tff(decl_47,type,
vd684: $i ).
tff(decl_48,type,
rintersect: ( $i * $i ) > $o ).
tff(decl_49,type,
vd14: $i ).
tff(decl_50,type,
vtriangle: ( $i * $i * $i ) > $i ).
tff(decl_51,type,
rtriangle: $i > $o ).
tff(decl_52,type,
vperp: $i ).
tff(decl_53,type,
rgeq: ( $i * $i ) > $o ).
tff(decl_54,type,
esk1_0: $i ).
tff(decl_55,type,
esk2_0: $i ).
tff(decl_56,type,
esk3_0: $i ).
tff(decl_57,type,
esk4_2: ( $i * $i ) > $i ).
tff(decl_58,type,
esk5_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_59,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_60,type,
esk7_1: $i > $i ).
tff(decl_61,type,
esk8_18: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_62,type,
esk9_18: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_63,type,
esk10_18: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_64,type,
esk11_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_65,type,
esk12_1: $i > $i ).
tff(decl_66,type,
esk13_2: ( $i * $i ) > $i ).
tff(decl_67,type,
esk14_3: ( $i * $i * $i ) > $i ).
tff(decl_68,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_69,type,
esk16_3: ( $i * $i * $i ) > $i ).
tff(decl_70,type,
esk17_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_71,type,
esk18_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_72,type,
esk19_2: ( $i * $i ) > $i ).
tff(decl_73,type,
esk20_2: ( $i * $i ) > $i ).
tff(decl_74,type,
esk21_3: ( $i * $i * $i ) > $i ).
tff(decl_75,type,
esk22_3: ( $i * $i * $i ) > $i ).
tff(decl_76,type,
esk23_3: ( $i * $i * $i ) > $i ).
tff(decl_77,type,
esk24_3: ( $i * $i * $i ) > $i ).
tff(decl_78,type,
esk25_3: ( $i * $i * $i ) > $i ).
tff(decl_79,type,
esk26_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_80,type,
esk27_3: ( $i * $i * $i ) > $i ).
tff(decl_81,type,
esk28_1: $i > $i ).
tff(decl_82,type,
esk29_3: ( $i * $i * $i ) > $i ).
tff(decl_83,type,
esk30_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_84,type,
esk31_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_85,type,
esk32_3: ( $i * $i * $i ) > $i ).
tff(decl_86,type,
esk33_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_87,type,
esk34_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_88,type,
esk35_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_89,type,
esk36_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_90,type,
esk37_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_91,type,
esk38_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_92,type,
esk39_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_93,type,
esk40_3: ( $i * $i * $i ) > $i ).
tff(decl_94,type,
esk41_1: $i > $i ).
tff(decl_95,type,
esk42_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_96,type,
esk43_3: ( $i * $i * $i ) > $i ).
tff(decl_97,type,
esk44_2: ( $i * $i ) > $i ).
tff(decl_98,type,
esk45_1: $i > $i ).
tff(decl_99,type,
esk46_3: ( $i * $i * $i ) > $i ).
tff(decl_100,type,
esk47_3: ( $i * $i * $i ) > $i ).
tff(decl_101,type,
esk48_3: ( $i * $i * $i ) > $i ).
tff(decl_102,type,
esk49_2: ( $i * $i ) > $i ).
tff(decl_103,type,
esk50_2: ( $i * $i ) > $i ).
tff(decl_104,type,
esk51_3: ( $i * $i * $i ) > $i ).
fof('qu(cond(axiom(182), 0), imp(cond(axiom(182), 0)))',axiom,
! [X608,X609,X610,X611,X612] :
( ( vf(X610,X608) = vf(X610,X609)
& ron(X609,X612)
& ron(X608,X611)
& rcenter(X610,X612)
& rcenter(X610,X611)
& ? [X613] :
( X609 = X613
& rpoint(X613) )
& ? [X614] :
( X608 = X614
& rpoint(X614) ) )
=> X611 = X612 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(182), 0), imp(cond(axiom(182), 0)))') ).
fof('qu(theu(the(228), 1), imp(the(228)))',conjecture,
! [X1] :
( ( ron(vd1081,X1)
& rcenter(vd1080,X1)
& rcircle(X1) )
=> X1 = vd1095 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(theu(the(228), 1), imp(the(228)))') ).
fof('qe(s2(plural(224)))',axiom,
? [X2] :
( vd1081 = X2
& rpoint(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s2(plural(224)))') ).
fof('and(pred(comma_conjunct2(the(228)), 0), and(pred(comma_conjunct1(the(228)), 0), pred(the(228), 0)))',axiom,
( ron(vd1081,vd1095)
& rcenter(vd1080,vd1095)
& rcircle(vd1095) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','and(pred(comma_conjunct2(the(228)), 0), and(pred(comma_conjunct1(the(228)), 0), pred(the(228), 0)))') ).
fof(c_0_4,plain,
! [X1350,X1351,X1352,X1353,X1354,X1355,X1356] :
( vf(X1352,X1350) != vf(X1352,X1351)
| ~ ron(X1351,X1354)
| ~ ron(X1350,X1353)
| ~ rcenter(X1352,X1354)
| ~ rcenter(X1352,X1353)
| X1351 != X1355
| ~ rpoint(X1355)
| X1350 != X1356
| ~ rpoint(X1356)
| X1353 = X1354 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(182), 0), imp(cond(axiom(182), 0)))'])])]) ).
cnf(c_0_5,plain,
( X5 = X4
| vf(X1,X2) != vf(X1,X3)
| ~ ron(X3,X4)
| ~ ron(X2,X5)
| ~ rcenter(X1,X4)
| ~ rcenter(X1,X5)
| X3 != X6
| ~ rpoint(X6)
| X2 != X7
| ~ rpoint(X7) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_6,negated_conjecture,
~ ! [X1] :
( ( ron(vd1081,X1)
& rcenter(vd1080,X1)
& rcircle(X1) )
=> X1 = vd1095 ),
inference(assume_negation,[status(cth)],['qu(theu(the(228), 1), imp(the(228)))']) ).
cnf(c_0_7,plain,
( X1 = X2
| vf(X3,X4) != vf(X3,X5)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rcenter(X3,X2)
| ~ rcenter(X3,X1)
| ~ ron(X5,X1)
| ~ ron(X4,X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_5])]) ).
fof(c_0_8,negated_conjecture,
( ron(vd1081,esk1_0)
& rcenter(vd1080,esk1_0)
& rcircle(esk1_0)
& esk1_0 != vd1095 ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).
cnf(c_0_9,plain,
( X1 = X2
| ~ rpoint(X3)
| ~ rcenter(X4,X2)
| ~ rcenter(X4,X1)
| ~ ron(X3,X1)
| ~ ron(X3,X2) ),
inference(er,[status(thm)],[c_0_7]) ).
cnf(c_0_10,negated_conjecture,
rcenter(vd1080,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_11,plain,
( vd1081 = esk2_0
& rpoint(esk2_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['qe(s2(plural(224)))'])]) ).
cnf(c_0_12,negated_conjecture,
( X1 = esk1_0
| ~ rpoint(X2)
| ~ rcenter(vd1080,X1)
| ~ ron(X2,esk1_0)
| ~ ron(X2,X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,plain,
rcenter(vd1080,vd1095),
inference(split_conjunct,[status(thm)],['and(pred(comma_conjunct2(the(228)), 0), and(pred(comma_conjunct1(the(228)), 0), pred(the(228), 0)))']) ).
cnf(c_0_14,negated_conjecture,
esk1_0 != vd1095,
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_15,plain,
rpoint(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,plain,
vd1081 = esk2_0,
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17,negated_conjecture,
( ~ rpoint(X1)
| ~ ron(X1,esk1_0)
| ~ ron(X1,vd1095) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]) ).
cnf(c_0_18,negated_conjecture,
ron(vd1081,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_19,plain,
rpoint(vd1081),
inference(rw,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,plain,
ron(vd1081,vd1095),
inference(split_conjunct,[status(thm)],['and(pred(comma_conjunct2(the(228)), 0), and(pred(comma_conjunct1(the(228)), 0), pred(the(228), 0)))']) ).
cnf(c_0_21,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),c_0_20])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO275+1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n025.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 22:58:26 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.57 start to proof: theBenchmark
% 0.19/0.83 % Version : CSE_E---1.5
% 0.19/0.83 % Problem : theBenchmark.p
% 0.19/0.83 % Proof found
% 0.19/0.83 % SZS status Theorem for theBenchmark.p
% 0.19/0.83 % SZS output start Proof
% See solution above
% 0.19/0.84 % Total time : 0.247000 s
% 0.19/0.84 % SZS output end Proof
% 0.19/0.84 % Total time : 0.257000 s
%------------------------------------------------------------------------------