TSTP Solution File: GEO300+1 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO300+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 : n014.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 22:47:44 EDT 2023
% Result : Theorem 0.77s 0.85s
% Output : CNFRefutation 0.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 102
% Syntax : Number of formulae : 125 ( 21 unt; 95 typ; 0 def)
% Number of atoms : 101 ( 52 equ)
% Maximal formula atoms : 22 ( 3 avg)
% Number of connectives : 105 ( 34 ~; 23 |; 47 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 261 ( 70 >; 191 *; 0 +; 0 <<)
% Number of predicates : 16 ( 14 usr; 1 prp; 0-3 aty)
% Number of functors : 81 ( 81 usr; 25 con; 0-18 aty)
% Number of variables : 31 ( 0 sgn; 10 !; 11 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
vd1185: $i ).
tff(decl_23,type,
vd1201: $i ).
tff(decl_24,type,
vf: ( $i * $i ) > $i ).
tff(decl_25,type,
vd1187: $i ).
tff(decl_26,type,
vplus: ( $i * $i ) > $i ).
tff(decl_27,type,
rR: ( $i * $i * $i ) > $o ).
tff(decl_28,type,
rpoint: $i > $o ).
tff(decl_29,type,
ron: ( $i * $i ) > $o ).
tff(decl_30,type,
vd1186: $i ).
tff(decl_31,type,
rline: $i > $o ).
tff(decl_32,type,
vd1179: $i ).
tff(decl_33,type,
vd1178: $i ).
tff(decl_34,type,
vd1180: $i ).
tff(decl_35,type,
vangle: ( $i * $i * $i ) > $i ).
tff(decl_36,type,
v0: $i ).
tff(decl_37,type,
vd1232: $i ).
tff(decl_38,type,
vd1199: $i ).
tff(decl_39,type,
vd1197: $i ).
tff(decl_40,type,
rS: ( $i * $i * $i ) > $o ).
tff(decl_41,type,
rreal: $i > $o ).
tff(decl_42,type,
vd684: $i ).
tff(decl_43,type,
vd1200: $i ).
tff(decl_44,type,
rcenter: ( $i * $i ) > $o ).
tff(decl_45,type,
rless: ( $i * $i ) > $o ).
tff(decl_46,type,
rinside: ( $i * $i ) > $o ).
tff(decl_47,type,
rintersect: ( $i * $i ) > $o ).
tff(decl_48,type,
rcircle: $i > $o ).
tff(decl_49,type,
vd1234: $i ).
tff(decl_50,type,
vg: ( $i * $i * $i ) > $i ).
tff(decl_51,type,
vd14: $i ).
tff(decl_52,type,
vtriangle: ( $i * $i * $i ) > $i ).
tff(decl_53,type,
rtriangle: $i > $o ).
tff(decl_54,type,
vskolem1120: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_55,type,
vskolem1078: ( $i * $i * $i * $i ) > $i ).
tff(decl_56,type,
vskolem1052: ( $i * $i * $i * $i ) > $i ).
tff(decl_57,type,
rgeq: ( $i * $i ) > $o ).
tff(decl_58,type,
vperp: $i ).
tff(decl_59,type,
rleq: ( $i * $i ) > $o ).
tff(decl_60,type,
esk1_0: $i ).
tff(decl_61,type,
esk2_0: $i ).
tff(decl_62,type,
esk3_0: $i ).
tff(decl_63,type,
esk4_0: $i ).
tff(decl_64,type,
esk5_0: $i ).
tff(decl_65,type,
esk6_0: $i ).
tff(decl_66,type,
esk7_0: $i ).
tff(decl_67,type,
esk8_0: $i ).
tff(decl_68,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_69,type,
esk10_0: $i ).
tff(decl_70,type,
esk11_2: ( $i * $i ) > $i ).
tff(decl_71,type,
esk12_2: ( $i * $i ) > $i ).
tff(decl_72,type,
esk13_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_73,type,
esk14_2: ( $i * $i ) > $i ).
tff(decl_74,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_75,type,
esk16_3: ( $i * $i * $i ) > $i ).
tff(decl_76,type,
esk17_3: ( $i * $i * $i ) > $i ).
tff(decl_77,type,
esk18_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_78,type,
esk19_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_79,type,
esk20_3: ( $i * $i * $i ) > $i ).
tff(decl_80,type,
esk21_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_81,type,
esk22_3: ( $i * $i * $i ) > $i ).
tff(decl_82,type,
esk23_3: ( $i * $i * $i ) > $i ).
tff(decl_83,type,
esk24_3: ( $i * $i * $i ) > $i ).
tff(decl_84,type,
esk25_3: ( $i * $i * $i ) > $i ).
tff(decl_85,type,
esk26_2: ( $i * $i ) > $i ).
tff(decl_86,type,
esk27_1: $i > $i ).
tff(decl_87,type,
esk28_1: $i > $i ).
tff(decl_88,type,
esk29_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_89,type,
esk30_3: ( $i * $i * $i ) > $i ).
tff(decl_90,type,
esk31_1: $i > $i ).
tff(decl_91,type,
esk32_3: ( $i * $i * $i ) > $i ).
tff(decl_92,type,
esk33_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_93,type,
esk34_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_94,type,
esk35_3: ( $i * $i * $i ) > $i ).
tff(decl_95,type,
esk36_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_96,type,
esk37_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_97,type,
esk38_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_98,type,
esk39_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_99,type,
esk40_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_100,type,
esk41_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_101,type,
esk42_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_102,type,
esk43_3: ( $i * $i * $i ) > $i ).
tff(decl_103,type,
esk44_1: $i > $i ).
tff(decl_104,type,
esk45_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_105,type,
esk46_3: ( $i * $i * $i ) > $i ).
tff(decl_106,type,
esk47_2: ( $i * $i ) > $i ).
tff(decl_107,type,
esk48_1: $i > $i ).
tff(decl_108,type,
esk49_3: ( $i * $i * $i ) > $i ).
tff(decl_109,type,
esk50_3: ( $i * $i * $i ) > $i ).
tff(decl_110,type,
esk51_3: ( $i * $i * $i ) > $i ).
tff(decl_111,type,
esk52_2: ( $i * $i ) > $i ).
tff(decl_112,type,
esk53_2: ( $i * $i ) > $i ).
tff(decl_113,type,
esk54_18: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_114,type,
esk55_18: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_115,type,
esk56_18: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_116,type,
esk57_3: ( $i * $i * $i ) > $i ).
fof('qu(cond(axiom(180), 0), imp(cond(axiom(180), 0)))',axiom,
! [X1,X2,X3] :
( ( rR(X2,X1,X3)
& ? [X4] :
( X3 = X4
& rpoint(X4) )
& ? [X5] :
( X2 = X5
& rpoint(X5) )
& ? [X6] :
( X1 = X6
& rpoint(X6) ) )
=> vplus(vf(X1,X2),vf(X2,X3)) = vf(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(180), 0), imp(cond(axiom(180), 0)))') ).
fof('and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))), 1194, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))), 1193, 0), and(holds(conjunct1(plural(comma_conjunct2(268))), 1192, 0), and(qe(s3(plural(comma_conjunct2(268)))), and(qe(s2(plural(comma_conjunct2(268)))), and(qe(s1(plural(comma_conjunct2(268)))), and(pred(comma_conjunct1(268), 9), and(pred(comma_conjunct1(268), 8), and(pred(comma_conjunct1(268), 7), and(qe(s3(plural(268))), and(qe(s2(plural(268))), qe(s1(plural(268)))))))))))))))',axiom,
( ~ ? [X8] :
( ron(vd1187,X8)
& ron(vd1186,X8)
& ron(vd1185,X8)
& rline(X8) )
& vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
& vf(vd1178,vd1180) = vf(vd1185,vd1187)
& vf(vd1178,vd1179) = vf(vd1185,vd1186)
& ? [X9] :
( vd1187 = X9
& rpoint(X9) )
& ? [X10] :
( vd1186 = X10
& rpoint(X10) )
& ? [X11] :
( vd1185 = X11
& rpoint(X11) )
& vd1179 != vd1180
& vd1178 != vd1180
& vd1178 != vd1179
& ? [X12] :
( vd1180 = X12
& rpoint(X12) )
& ? [X13] :
( vd1179 = X13
& rpoint(X13) )
& ? [X14] :
( vd1178 = X14
& rpoint(X14) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))), 1194, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))), 1193, 0), and(holds(conjunct1(plural(comma_conjunct2(268))), 1192, 0), and(qe(s3(plural(comma_conjunct2(268)))), and(qe(s2(plural(comma_conjunct2(268)))), and(qe(s1(plural(comma_conjunct2(268)))), and(pred(comma_conjunct1(268), 9), and(pred(comma_conjunct1(268), 8), and(pred(comma_conjunct1(268), 7), and(qe(s3(plural(268))), and(qe(s2(plural(268))), qe(s1(plural(268)))))))))))))))') ).
fof('holds(331, 1260, 0)',conjecture,
vf(vd1185,vd1201) = vplus(vf(vd1185,vd1187),vf(vd1187,vd1201)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(331, 1260, 0)') ).
fof('holds(314, 1247, 0)',axiom,
vf(vd1199,vd1201) = vf(vd1185,vd1187),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(314, 1247, 0)') ).
fof('holds(291, 1230, 0)',axiom,
vd1199 = vd1185,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(291, 1230, 0)') ).
fof('qe(s3(plural(271)))',axiom,
? [X7] :
( vd1201 = X7
& rpoint(X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s3(plural(271)))') ).
fof('holds(330, 1259, 0)',axiom,
rR(vd1187,vd1185,vd1201),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(330, 1259, 0)') ).
fof(c_0_7,plain,
! [X755,X756,X757,X758,X759,X760] :
( ~ rR(X756,X755,X757)
| X757 != X758
| ~ rpoint(X758)
| X756 != X759
| ~ rpoint(X759)
| X755 != X760
| ~ rpoint(X760)
| vplus(vf(X755,X756),vf(X756,X757)) = vf(X755,X757) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(180), 0), imp(cond(axiom(180), 0)))'])])]) ).
fof(c_0_8,plain,
! [X762] :
( ( ~ ron(vd1187,X762)
| ~ ron(vd1186,X762)
| ~ ron(vd1185,X762)
| ~ rline(X762) )
& vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
& vf(vd1178,vd1180) = vf(vd1185,vd1187)
& vf(vd1178,vd1179) = vf(vd1185,vd1186)
& vd1187 = esk2_0
& rpoint(esk2_0)
& vd1186 = esk3_0
& rpoint(esk3_0)
& vd1185 = esk4_0
& rpoint(esk4_0)
& vd1179 != vd1180
& vd1178 != vd1180
& vd1178 != vd1179
& vd1180 = esk5_0
& rpoint(esk5_0)
& vd1179 = esk6_0
& rpoint(esk6_0)
& vd1178 = esk7_0
& rpoint(esk7_0) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))), 1194, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))), 1193, 0), and(holds(conjunct1(plural(comma_conjunct2(268))), 1192, 0), and(qe(s3(plural(comma_conjunct2(268)))), and(qe(s2(plural(comma_conjunct2(268)))), and(qe(s1(plural(comma_conjunct2(268)))), and(pred(comma_conjunct1(268), 9), and(pred(comma_conjunct1(268), 8), and(pred(comma_conjunct1(268), 7), and(qe(s3(plural(268))), and(qe(s2(plural(268))), qe(s1(plural(268)))))))))))))))'])])])]) ).
fof(c_0_9,negated_conjecture,
vf(vd1185,vd1201) != vplus(vf(vd1185,vd1187),vf(vd1187,vd1201)),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],['holds(331, 1260, 0)'])]) ).
cnf(c_0_10,plain,
vf(vd1199,vd1201) = vf(vd1185,vd1187),
inference(split_conjunct,[status(thm)],['holds(314, 1247, 0)']) ).
cnf(c_0_11,plain,
vd1199 = vd1185,
inference(split_conjunct,[status(thm)],['holds(291, 1230, 0)']) ).
cnf(c_0_12,plain,
( vplus(vf(X2,X1),vf(X1,X3)) = vf(X2,X3)
| ~ rR(X1,X2,X3)
| X3 != X4
| ~ rpoint(X4)
| X1 != X5
| ~ rpoint(X5)
| X2 != X6
| ~ rpoint(X6) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,plain,
rpoint(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,plain,
vd1185 = esk4_0,
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_15,plain,
rpoint(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_16,plain,
vd1187 = esk2_0,
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_17,plain,
( vd1201 = esk1_0
& rpoint(esk1_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['qe(s3(plural(271)))'])]) ).
cnf(c_0_18,negated_conjecture,
vf(vd1185,vd1201) != vplus(vf(vd1185,vd1187),vf(vd1187,vd1201)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_19,plain,
vf(vd1185,vd1187) = vf(vd1185,vd1201),
inference(rw,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_20,plain,
( vplus(vf(X1,X2),vf(X2,X3)) = vf(X1,X3)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rR(X2,X1,X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_12])])]) ).
cnf(c_0_21,plain,
rpoint(vd1185),
inference(rw,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_22,plain,
rpoint(vd1187),
inference(rw,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_23,plain,
rpoint(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_24,plain,
vd1201 = esk1_0,
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_25,negated_conjecture,
vplus(vf(vd1185,vd1201),vf(vd1187,vd1201)) != vf(vd1185,vd1201),
inference(rw,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_26,plain,
( vplus(vf(vd1185,vd1201),vf(vd1187,X1)) = vf(vd1185,X1)
| ~ rpoint(X1)
| ~ rR(vd1187,vd1185,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_19]),c_0_21]),c_0_22])]) ).
cnf(c_0_27,plain,
rpoint(vd1201),
inference(rw,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_28,plain,
rR(vd1187,vd1185,vd1201),
inference(split_conjunct,[status(thm)],['holds(330, 1259, 0)']) ).
cnf(c_0_29,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]),c_0_28])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO300+1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n014.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 23:14:45 EDT 2023
% 0.13/0.36 % CPUTime :
% 0.21/0.57 start to proof: theBenchmark
% 0.77/0.85 % Version : CSE_E---1.5
% 0.77/0.85 % Problem : theBenchmark.p
% 0.77/0.85 % Proof found
% 0.77/0.85 % SZS status Theorem for theBenchmark.p
% 0.77/0.85 % SZS output start Proof
% See solution above
% 0.77/0.86 % Total time : 0.255000 s
% 0.77/0.86 % SZS output end Proof
% 0.77/0.86 % Total time : 0.267000 s
%------------------------------------------------------------------------------