TSTP Solution File: GEO331+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO331+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n007.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 22:47:48 EDT 2023
% Result : Theorem 0.49s 0.72s
% Output : CNFRefutation 0.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 93
% Syntax : Number of formulae : 119 ( 21 unt; 83 typ; 0 def)
% Number of atoms : 137 ( 86 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 162 ( 61 ~; 62 |; 33 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 279 ( 73 >; 206 *; 0 +; 0 <<)
% Number of predicates : 16 ( 14 usr; 1 prp; 0-3 aty)
% Number of functors : 69 ( 69 usr; 10 con; 0-18 aty)
% Number of variables : 51 ( 0 sgn; 21 !; 12 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
vd1352: $i ).
tff(decl_23,type,
vd1353: $i ).
tff(decl_24,type,
vf: ( $i * $i ) > $i ).
tff(decl_25,type,
vd1354: $i ).
tff(decl_26,type,
vangle: ( $i * $i * $i ) > $i ).
tff(decl_27,type,
rpoint: $i > $o ).
tff(decl_28,type,
rless: ( $i * $i ) > $o ).
tff(decl_29,type,
rR: ( $i * $i * $i ) > $o ).
tff(decl_30,type,
ron: ( $i * $i ) > $o ).
tff(decl_31,type,
rline: $i > $o ).
tff(decl_32,type,
vskolem1120: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_33,type,
v0: $i ).
tff(decl_34,type,
rS: ( $i * $i * $i ) > $o ).
tff(decl_35,type,
vskolem1078: ( $i * $i * $i * $i ) > $i ).
tff(decl_36,type,
vplus: ( $i * $i ) > $i ).
tff(decl_37,type,
rcenter: ( $i * $i ) > $o ).
tff(decl_38,type,
rinside: ( $i * $i ) > $o ).
tff(decl_39,type,
rreal: $i > $o ).
tff(decl_40,type,
rintersect: ( $i * $i ) > $o ).
tff(decl_41,type,
rcircle: $i > $o ).
tff(decl_42,type,
vskolem1052: ( $i * $i * $i * $i ) > $i ).
tff(decl_43,type,
vd684: $i ).
tff(decl_44,type,
vd14: $i ).
tff(decl_45,type,
vtriangle: ( $i * $i * $i ) > $i ).
tff(decl_46,type,
rtriangle: $i > $o ).
tff(decl_47,type,
rleq: ( $i * $i ) > $o ).
tff(decl_48,type,
vg: ( $i * $i * $i ) > $i ).
tff(decl_49,type,
vperp: $i ).
tff(decl_50,type,
rgeq: ( $i * $i ) > $o ).
tff(decl_51,type,
esk1_0: $i ).
tff(decl_52,type,
esk2_0: $i ).
tff(decl_53,type,
esk3_0: $i ).
tff(decl_54,type,
esk4_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_55,type,
esk5_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_56,type,
esk6_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_57,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_58,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_59,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_60,type,
esk10_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_61,type,
esk11_2: ( $i * $i ) > $i ).
tff(decl_62,type,
esk12_2: ( $i * $i ) > $i ).
tff(decl_63,type,
esk13_2: ( $i * $i ) > $i ).
tff(decl_64,type,
esk14_2: ( $i * $i ) > $i ).
tff(decl_65,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_66,type,
esk16_3: ( $i * $i * $i ) > $i ).
tff(decl_67,type,
esk17_3: ( $i * $i * $i ) > $i ).
tff(decl_68,type,
esk18_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_69,type,
esk19_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_70,type,
esk20_3: ( $i * $i * $i ) > $i ).
tff(decl_71,type,
esk21_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_72,type,
esk22_3: ( $i * $i * $i ) > $i ).
tff(decl_73,type,
esk23_3: ( $i * $i * $i ) > $i ).
tff(decl_74,type,
esk24_3: ( $i * $i * $i ) > $i ).
tff(decl_75,type,
esk25_3: ( $i * $i * $i ) > $i ).
tff(decl_76,type,
esk26_1: $i > $i ).
tff(decl_77,type,
esk27_1: $i > $i ).
tff(decl_78,type,
esk28_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_79,type,
esk29_3: ( $i * $i * $i ) > $i ).
tff(decl_80,type,
esk30_1: $i > $i ).
tff(decl_81,type,
esk31_3: ( $i * $i * $i ) > $i ).
tff(decl_82,type,
esk32_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_83,type,
esk33_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_84,type,
esk34_3: ( $i * $i * $i ) > $i ).
tff(decl_85,type,
esk35_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_86,type,
esk36_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_87,type,
esk37_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_88,type,
esk38_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_89,type,
esk39_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_90,type,
esk40_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_91,type,
esk41_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_92,type,
esk42_3: ( $i * $i * $i ) > $i ).
tff(decl_93,type,
esk43_1: $i > $i ).
tff(decl_94,type,
esk44_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_95,type,
esk45_3: ( $i * $i * $i ) > $i ).
tff(decl_96,type,
esk46_2: ( $i * $i ) > $i ).
tff(decl_97,type,
esk47_1: $i > $i ).
tff(decl_98,type,
esk48_3: ( $i * $i * $i ) > $i ).
tff(decl_99,type,
esk49_3: ( $i * $i * $i ) > $i ).
tff(decl_100,type,
esk50_3: ( $i * $i * $i ) > $i ).
tff(decl_101,type,
esk51_18: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_102,type,
esk52_18: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_103,type,
esk53_18: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_104,type,
esk54_3: ( $i * $i * $i ) > $i ).
fof('ass(cond(proof(385), 0), 2)',axiom,
! [X4,X5,X6] :
( ( vangle(X4,X5,X6) = vangle(X4,X6,X5)
& X5 != X6
& X4 != X6
& X4 != X5
& ? [X7] :
( X6 = X7
& rpoint(X7) )
& ? [X8] :
( X5 = X8
& rpoint(X8) )
& ? [X9] :
( X4 = X9
& rpoint(X9) ) )
=> ( vf(X4,X5) != vf(X4,X6)
=> ~ rless(vf(X4,X6),vf(X4,X5)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(proof(385), 0), 2)') ).
fof('ass(cond(proof(385), 0), 0)',axiom,
! [X4,X5,X6] :
( ( vangle(X4,X5,X6) = vangle(X4,X6,X5)
& X5 != X6
& X4 != X6
& X4 != X5
& ? [X7] :
( X6 = X7
& rpoint(X7) )
& ? [X8] :
( X5 = X8
& rpoint(X8) )
& ? [X9] :
( X4 = X9
& rpoint(X9) ) )
=> ( vf(X4,X5) != vf(X4,X6)
=> ( rless(vf(X4,X5),vf(X4,X6))
| rless(vf(X4,X6),vf(X4,X5)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(proof(385), 0), 0)') ).
fof('qe(s1(plural(383)))',axiom,
? [X3] :
( vd1352 = X3
& rpoint(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(s1(plural(383)))') ).
fof('qe(s3(plural(383)))',axiom,
? [X1] :
( vd1354 = X1
& rpoint(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(s3(plural(383)))') ).
fof('qe(s2(plural(383)))',axiom,
? [X2] :
( vd1353 = X2
& rpoint(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(s2(plural(383)))') ).
fof('holds(384, 1360, 0)',conjecture,
vf(vd1352,vd1353) = vf(vd1352,vd1354),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(384, 1360, 0)') ).
fof('holds(383, 1356, 0)',axiom,
vangle(vd1352,vd1353,vd1354) = vangle(vd1352,vd1354,vd1353),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(383, 1356, 0)') ).
fof('pred(383, 8)',axiom,
vd1352 != vd1354,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(383, 8)') ).
fof('pred(383, 7)',axiom,
vd1352 != vd1353,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(383, 7)') ).
fof('pred(383, 9)',axiom,
vd1353 != vd1354,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(383, 9)') ).
fof(c_0_10,plain,
! [X4,X5,X6] :
( ( vangle(X4,X5,X6) = vangle(X4,X6,X5)
& X5 != X6
& X4 != X6
& X4 != X5
& ? [X7] :
( X6 = X7
& rpoint(X7) )
& ? [X8] :
( X5 = X8
& rpoint(X8) )
& ? [X9] :
( X4 = X9
& rpoint(X9) ) )
=> ( vf(X4,X5) != vf(X4,X6)
=> ~ rless(vf(X4,X6),vf(X4,X5)) ) ),
inference(fof_simplification,[status(thm)],['ass(cond(proof(385), 0), 2)']) ).
fof(c_0_11,plain,
! [X792,X793,X794,X795,X796,X797] :
( vangle(X792,X793,X794) != vangle(X792,X794,X793)
| X793 = X794
| X792 = X794
| X792 = X793
| X794 != X795
| ~ rpoint(X795)
| X793 != X796
| ~ rpoint(X796)
| X792 != X797
| ~ rpoint(X797)
| vf(X792,X793) = vf(X792,X794)
| ~ rless(vf(X792,X794),vf(X792,X793)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])]) ).
fof(c_0_12,plain,
! [X780,X781,X782,X783,X784,X785] :
( vangle(X780,X781,X782) != vangle(X780,X782,X781)
| X781 = X782
| X780 = X782
| X780 = X781
| X782 != X783
| ~ rpoint(X783)
| X781 != X784
| ~ rpoint(X784)
| X780 != X785
| ~ rpoint(X785)
| vf(X780,X781) = vf(X780,X782)
| rless(vf(X780,X781),vf(X780,X782))
| rless(vf(X780,X782),vf(X780,X781)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(proof(385), 0), 0)'])])]) ).
cnf(c_0_13,plain,
( X2 = X3
| X1 = X3
| X1 = X2
| vf(X1,X2) = vf(X1,X3)
| vangle(X1,X2,X3) != vangle(X1,X3,X2)
| X3 != X4
| ~ rpoint(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| ~ rless(vf(X1,X3),vf(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_14,plain,
( vd1352 = esk3_0
& rpoint(esk3_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['qe(s1(plural(383)))'])]) ).
fof(c_0_15,plain,
( vd1354 = esk1_0
& rpoint(esk1_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['qe(s3(plural(383)))'])]) ).
fof(c_0_16,plain,
( vd1353 = esk2_0
& rpoint(esk2_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['qe(s2(plural(383)))'])]) ).
cnf(c_0_17,plain,
( X2 = X3
| X1 = X3
| X1 = X2
| vf(X1,X2) = vf(X1,X3)
| rless(vf(X1,X2),vf(X1,X3))
| rless(vf(X1,X3),vf(X1,X2))
| vangle(X1,X2,X3) != vangle(X1,X3,X2)
| X3 != X4
| ~ rpoint(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,plain,
( vf(X1,X2) = vf(X1,X3)
| X2 = X3
| X1 = X3
| X1 = X2
| vangle(X1,X2,X3) != vangle(X1,X3,X2)
| ~ rless(vf(X1,X3),vf(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_13])])]) ).
cnf(c_0_19,plain,
rpoint(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,plain,
vd1352 = esk3_0,
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_21,plain,
rpoint(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_22,plain,
vd1354 = esk1_0,
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_23,plain,
rpoint(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_24,plain,
vd1353 = esk2_0,
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_25,negated_conjecture,
vf(vd1352,vd1353) != vf(vd1352,vd1354),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],['holds(384, 1360, 0)'])]) ).
cnf(c_0_26,plain,
( vf(X1,X2) = vf(X1,X3)
| X2 = X3
| X1 = X3
| X1 = X2
| vangle(X1,X2,X3) != vangle(X1,X3,X2)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_17])])]),c_0_18]),c_0_18]) ).
cnf(c_0_27,plain,
vangle(vd1352,vd1353,vd1354) = vangle(vd1352,vd1354,vd1353),
inference(split_conjunct,[status(thm)],['holds(383, 1356, 0)']) ).
cnf(c_0_28,plain,
rpoint(vd1352),
inference(rw,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_29,plain,
rpoint(vd1354),
inference(rw,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_30,plain,
rpoint(vd1353),
inference(rw,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_31,negated_conjecture,
vf(vd1352,vd1353) != vf(vd1352,vd1354),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_32,plain,
vd1352 != vd1354,
inference(split_conjunct,[status(thm)],['pred(383, 8)']) ).
cnf(c_0_33,plain,
vd1352 != vd1353,
inference(split_conjunct,[status(thm)],['pred(383, 7)']) ).
cnf(c_0_34,plain,
vd1353 != vd1354,
inference(split_conjunct,[status(thm)],['pred(383, 9)']) ).
cnf(c_0_35,plain,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]),c_0_29]),c_0_30])]),c_0_31]),c_0_32]),c_0_33]),c_0_34]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GEO331+1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.11 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.10/0.32 % Computer : n007.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue Aug 29 23:24:59 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.16/0.55 start to proof: theBenchmark
% 0.49/0.72 % Version : CSE_E---1.5
% 0.49/0.72 % Problem : theBenchmark.p
% 0.49/0.72 % Proof found
% 0.49/0.72 % SZS status Theorem for theBenchmark.p
% 0.49/0.72 % SZS output start Proof
% See solution above
% 0.49/0.73 % Total time : 0.160000 s
% 0.49/0.73 % SZS output end Proof
% 0.49/0.73 % Total time : 0.170000 s
%------------------------------------------------------------------------------