TSTP Solution File: GEO272+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO272+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 : n031.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 22:47:37 EDT 2023
% Result : Theorem 0.56s 0.86s
% Output : CNFRefutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 83
% Syntax : Number of formulae : 100 ( 9 unt; 79 typ; 0 def)
% Number of atoms : 81 ( 24 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 101 ( 41 ~; 36 |; 21 &)
% ( 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 : 245 ( 67 >; 178 *; 0 +; 0 <<)
% Number of predicates : 16 ( 14 usr; 1 prp; 0-3 aty)
% Number of functors : 65 ( 65 usr; 12 con; 0-18 aty)
% Number of variables : 35 ( 0 sgn; 14 !; 2 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
vd1055: $i ).
tff(decl_23,type,
ron: ( $i * $i ) > $o ).
tff(decl_24,type,
vd1057: $i ).
tff(decl_25,type,
rcenter: ( $i * $i ) > $o ).
tff(decl_26,type,
rcircle: $i > $o ).
tff(decl_27,type,
vd1063: $i ).
tff(decl_28,type,
vd1060: $i ).
tff(decl_29,type,
vskolem1061: $i ).
tff(decl_30,type,
vd1058: $i ).
tff(decl_31,type,
rpoint: $i > $o ).
tff(decl_32,type,
vd1056: $i ).
tff(decl_33,type,
vf: ( $i * $i ) > $i ).
tff(decl_34,type,
rS: ( $i * $i * $i ) > $o ).
tff(decl_35,type,
rR: ( $i * $i * $i ) > $o ).
tff(decl_36,type,
vangle: ( $i * $i * $i ) > $i ).
tff(decl_37,type,
rline: $i > $o ).
tff(decl_38,type,
vg: ( $i * $i * $i ) > $i ).
tff(decl_39,type,
vplus: ( $i * $i ) > $i ).
tff(decl_40,type,
v0: $i ).
tff(decl_41,type,
rreal: $i > $o ).
tff(decl_42,type,
vperp: $i ).
tff(decl_43,type,
rless: ( $i * $i ) > $o ).
tff(decl_44,type,
rintersect: ( $i * $i ) > $o ).
tff(decl_45,type,
rinside: ( $i * $i ) > $o ).
tff(decl_46,type,
rgeq: ( $i * $i ) > $o ).
tff(decl_47,type,
rleq: ( $i * $i ) > $o ).
tff(decl_48,type,
vd684: $i ).
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,
esk1_0: $i ).
tff(decl_53,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_54,type,
esk3_18: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_55,type,
esk4_18: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_56,type,
esk5_18: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_57,type,
esk6_3: ( $i * $i * $i ) > $i ).
tff(decl_58,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_59,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_60,type,
esk9_3: ( $i * $i * $i ) > $i ).
tff(decl_61,type,
esk10_3: ( $i * $i * $i ) > $i ).
tff(decl_62,type,
esk11_3: ( $i * $i * $i ) > $i ).
tff(decl_63,type,
esk12_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_64,type,
esk13_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_65,type,
esk14_2: ( $i * $i ) > $i ).
tff(decl_66,type,
esk15_2: ( $i * $i ) > $i ).
tff(decl_67,type,
esk16_3: ( $i * $i * $i ) > $i ).
tff(decl_68,type,
esk17_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_69,type,
esk18_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_70,type,
esk19_3: ( $i * $i * $i ) > $i ).
tff(decl_71,type,
esk20_3: ( $i * $i * $i ) > $i ).
tff(decl_72,type,
esk21_3: ( $i * $i * $i ) > $i ).
tff(decl_73,type,
esk22_3: ( $i * $i * $i ) > $i ).
tff(decl_74,type,
esk23_1: $i > $i ).
tff(decl_75,type,
esk24_1: $i > $i ).
tff(decl_76,type,
esk25_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_77,type,
esk26_3: ( $i * $i * $i ) > $i ).
tff(decl_78,type,
esk27_1: $i > $i ).
tff(decl_79,type,
esk28_3: ( $i * $i * $i ) > $i ).
tff(decl_80,type,
esk29_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_81,type,
esk30_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_82,type,
esk31_3: ( $i * $i * $i ) > $i ).
tff(decl_83,type,
esk32_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_84,type,
esk33_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_85,type,
esk34_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_86,type,
esk35_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_87,type,
esk36_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_88,type,
esk37_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_89,type,
esk38_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_90,type,
esk39_3: ( $i * $i * $i ) > $i ).
tff(decl_91,type,
esk40_1: $i > $i ).
tff(decl_92,type,
esk41_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_93,type,
esk42_3: ( $i * $i * $i ) > $i ).
tff(decl_94,type,
esk43_2: ( $i * $i ) > $i ).
tff(decl_95,type,
esk44_1: $i > $i ).
tff(decl_96,type,
esk45_3: ( $i * $i * $i ) > $i ).
tff(decl_97,type,
esk46_3: ( $i * $i * $i ) > $i ).
tff(decl_98,type,
esk47_3: ( $i * $i * $i ) > $i ).
tff(decl_99,type,
esk48_2: ( $i * $i ) > $i ).
tff(decl_100,type,
esk49_2: ( $i * $i ) > $i ).
fof('qu(cond(axiom(182), 0), imp(cond(axiom(182), 0)))',axiom,
! [X13,X14,X15,X16,X17] :
( ( vf(X15,X13) = vf(X15,X14)
& ron(X14,X17)
& ron(X13,X16)
& rcenter(X15,X17)
& rcenter(X15,X16)
& ? [X18] :
( X14 = X18
& rpoint(X18) )
& ? [X19] :
( X13 = X19
& rpoint(X19) ) )
=> X16 = X17 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(182), 0), imp(cond(axiom(182), 0)))') ).
fof('qu(theu(the(212), 1), imp(the(212)))',conjecture,
! [X1] :
( ( ron(vd1055,X1)
& rcenter(vd1057,X1)
& rcircle(X1) )
=> X1 = vd1063 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(theu(the(212), 1), imp(the(212)))') ).
fof('and(pred(comma_conjunct2(the(212)), 0), and(pred(comma_conjunct1(the(212)), 0), pred(the(212), 0)))',axiom,
( ron(vd1055,vd1063)
& rcenter(vd1057,vd1063)
& rcircle(vd1063) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','and(pred(comma_conjunct2(the(212)), 0), and(pred(comma_conjunct1(the(212)), 0), pred(the(212), 0)))') ).
fof('and(pred(conjunct2(210), 4), and(holds(conjunct2(210), 1059, 0), and(pred(conjunct2(210), 1), and(pred(conjunct1(210), 2), pred(conjunct1(210), 1)))))',axiom,
( vd1057 = vd1058
& vd1055 != vd1057
& rpoint(vd1058)
& vd1055 = vd1056
& rpoint(vd1056) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','and(pred(conjunct2(210), 4), and(holds(conjunct2(210), 1059, 0), and(pred(conjunct2(210), 1), and(pred(conjunct1(210), 2), pred(conjunct1(210), 1)))))') ).
fof(c_0_4,plain,
! [X741,X742,X743,X744,X745,X746,X747] :
( vf(X743,X741) != vf(X743,X742)
| ~ ron(X742,X745)
| ~ ron(X741,X744)
| ~ rcenter(X743,X745)
| ~ rcenter(X743,X744)
| X742 != X746
| ~ rpoint(X746)
| X741 != X747
| ~ rpoint(X747)
| X744 = X745 ),
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(vd1055,X1)
& rcenter(vd1057,X1)
& rcircle(X1) )
=> X1 = vd1063 ),
inference(assume_negation,[status(cth)],['qu(theu(the(212), 1), imp(the(212)))']) ).
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(vd1055,esk1_0)
& rcenter(vd1057,esk1_0)
& rcircle(esk1_0)
& esk1_0 != vd1063 ),
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(vd1057,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_11,negated_conjecture,
( X1 = esk1_0
| ~ rpoint(X2)
| ~ rcenter(vd1057,X1)
| ~ ron(X2,esk1_0)
| ~ ron(X2,X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_12,plain,
rcenter(vd1057,vd1063),
inference(split_conjunct,[status(thm)],['and(pred(comma_conjunct2(the(212)), 0), and(pred(comma_conjunct1(the(212)), 0), pred(the(212), 0)))']) ).
cnf(c_0_13,negated_conjecture,
esk1_0 != vd1063,
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,plain,
rpoint(vd1056),
inference(split_conjunct,[status(thm)],['and(pred(conjunct2(210), 4), and(holds(conjunct2(210), 1059, 0), and(pred(conjunct2(210), 1), and(pred(conjunct1(210), 2), pred(conjunct1(210), 1)))))']) ).
cnf(c_0_15,plain,
vd1055 = vd1056,
inference(split_conjunct,[status(thm)],['and(pred(conjunct2(210), 4), and(holds(conjunct2(210), 1059, 0), and(pred(conjunct2(210), 1), and(pred(conjunct1(210), 2), pred(conjunct1(210), 1)))))']) ).
cnf(c_0_16,negated_conjecture,
( ~ rpoint(X1)
| ~ ron(X1,esk1_0)
| ~ ron(X1,vd1063) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]) ).
cnf(c_0_17,negated_conjecture,
ron(vd1055,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_18,plain,
rpoint(vd1055),
inference(rw,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,plain,
ron(vd1055,vd1063),
inference(split_conjunct,[status(thm)],['and(pred(comma_conjunct2(the(212)), 0), and(pred(comma_conjunct1(the(212)), 0), pred(the(212), 0)))']) ).
cnf(c_0_20,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),c_0_19])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO272+1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n031.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 : Wed Aug 30 00:29:41 EDT 2023
% 0.19/0.34 % CPUTime :
% 0.56/0.59 start to proof: theBenchmark
% 0.56/0.86 % Version : CSE_E---1.5
% 0.56/0.86 % Problem : theBenchmark.p
% 0.56/0.86 % Proof found
% 0.56/0.86 % SZS status Theorem for theBenchmark.p
% 0.56/0.86 % SZS output start Proof
% See solution above
% 0.56/0.87 % Total time : 0.257000 s
% 0.56/0.87 % SZS output end Proof
% 0.56/0.87 % Total time : 0.268000 s
%------------------------------------------------------------------------------