TSTP Solution File: COM125+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : COM125+1 : TPTP v8.1.2. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n003.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 18:36:35 EDT 2023
% Result : Theorem 0.53s 0.68s
% Output : CNFRefutation 0.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 109
% Syntax : Number of formulae : 123 ( 4 unt; 106 typ; 0 def)
% Number of atoms : 50 ( 8 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 53 ( 20 ~; 15 |; 12 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 274 ( 96 >; 178 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-4 aty)
% Number of functors : 97 ( 97 usr; 10 con; 0-5 aty)
% Number of variables : 68 ( 4 sgn; 48 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
vvar: $i > $i ).
tff(decl_23,type,
vabs: ( $i * $i * $i ) > $i ).
tff(decl_24,type,
vapp: ( $i * $i ) > $i ).
tff(decl_25,type,
visValue: $i > $o ).
tff(decl_26,type,
visFreeVar: ( $i * $i ) > $o ).
tff(decl_27,type,
vempty: $i ).
tff(decl_28,type,
vbind: ( $i * $i * $i ) > $i ).
tff(decl_29,type,
vnoType: $i ).
tff(decl_30,type,
vsomeType: $i > $i ).
tff(decl_31,type,
visSomeType: $i > $o ).
tff(decl_32,type,
vgetSomeType: $i > $i ).
tff(decl_33,type,
vlookup: ( $i * $i ) > $i ).
tff(decl_34,type,
vtcheck: ( $i * $i * $i ) > $o ).
tff(decl_35,type,
vgensym: $i > $i ).
tff(decl_36,type,
vsubst: ( $i * $i * $i ) > $i ).
tff(decl_37,type,
vnoExp: $i ).
tff(decl_38,type,
vsomeExp: $i > $i ).
tff(decl_39,type,
visSomeExp: $i > $o ).
tff(decl_40,type,
vgetSomeExp: $i > $i ).
tff(decl_41,type,
vreduce: $i > $i ).
tff(decl_42,type,
varrow: ( $i * $i ) > $i ).
tff(decl_43,type,
veabs: $i ).
tff(decl_44,type,
epred1_4: ( $i * $i * $i * $i ) > $o ).
tff(decl_45,type,
epred2_4: ( $i * $i * $i * $i ) > $o ).
tff(decl_46,type,
epred3_2: ( $i * $i ) > $o ).
tff(decl_47,type,
epred4_2: ( $i * $i ) > $o ).
tff(decl_48,type,
esk1_3: ( $i * $i * $i ) > $i ).
tff(decl_49,type,
esk2_3: ( $i * $i * $i ) > $i ).
tff(decl_50,type,
esk3_3: ( $i * $i * $i ) > $i ).
tff(decl_51,type,
esk4_3: ( $i * $i * $i ) > $i ).
tff(decl_52,type,
esk5_3: ( $i * $i * $i ) > $i ).
tff(decl_53,type,
esk6_3: ( $i * $i * $i ) > $i ).
tff(decl_54,type,
esk7_3: ( $i * $i * $i ) > $i ).
tff(decl_55,type,
esk8_3: ( $i * $i * $i ) > $i ).
tff(decl_56,type,
esk9_3: ( $i * $i * $i ) > $i ).
tff(decl_57,type,
esk10_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_58,type,
esk11_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_59,type,
esk12_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_60,type,
esk13_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_61,type,
esk14_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_62,type,
esk15_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_63,type,
esk16_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_64,type,
esk17_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_65,type,
esk18_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_66,type,
esk19_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_67,type,
esk20_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_68,type,
esk21_2: ( $i * $i ) > $i ).
tff(decl_69,type,
esk22_2: ( $i * $i ) > $i ).
tff(decl_70,type,
esk23_2: ( $i * $i ) > $i ).
tff(decl_71,type,
esk24_3: ( $i * $i * $i ) > $i ).
tff(decl_72,type,
esk25_3: ( $i * $i * $i ) > $i ).
tff(decl_73,type,
esk26_3: ( $i * $i * $i ) > $i ).
tff(decl_74,type,
esk27_3: ( $i * $i * $i ) > $i ).
tff(decl_75,type,
esk28_3: ( $i * $i * $i ) > $i ).
tff(decl_76,type,
esk29_3: ( $i * $i * $i ) > $i ).
tff(decl_77,type,
esk30_3: ( $i * $i * $i ) > $i ).
tff(decl_78,type,
esk31_3: ( $i * $i * $i ) > $i ).
tff(decl_79,type,
esk32_0: $i ).
tff(decl_80,type,
esk33_0: $i ).
tff(decl_81,type,
esk34_0: $i ).
tff(decl_82,type,
esk35_0: $i ).
tff(decl_83,type,
esk36_0: $i ).
tff(decl_84,type,
esk37_0: $i ).
tff(decl_85,type,
esk38_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_86,type,
esk39_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_87,type,
esk40_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_88,type,
esk41_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_89,type,
esk42_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_90,type,
esk43_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_91,type,
esk44_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_92,type,
esk45_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_93,type,
esk46_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_94,type,
esk47_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_95,type,
esk48_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_96,type,
esk49_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_97,type,
esk50_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_98,type,
esk51_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_99,type,
esk52_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_100,type,
esk53_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_101,type,
esk54_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_102,type,
esk55_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_103,type,
esk56_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_104,type,
esk57_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_105,type,
esk58_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_106,type,
esk59_2: ( $i * $i ) > $i ).
tff(decl_107,type,
esk60_2: ( $i * $i ) > $i ).
tff(decl_108,type,
esk61_2: ( $i * $i ) > $i ).
tff(decl_109,type,
esk62_2: ( $i * $i ) > $i ).
tff(decl_110,type,
esk63_2: ( $i * $i ) > $i ).
tff(decl_111,type,
esk64_2: ( $i * $i ) > $i ).
tff(decl_112,type,
esk65_2: ( $i * $i ) > $i ).
tff(decl_113,type,
esk66_2: ( $i * $i ) > $i ).
tff(decl_114,type,
esk67_2: ( $i * $i ) > $i ).
tff(decl_115,type,
esk68_2: ( $i * $i ) > $i ).
tff(decl_116,type,
esk69_2: ( $i * $i ) > $i ).
tff(decl_117,type,
esk70_2: ( $i * $i ) > $i ).
tff(decl_118,type,
esk71_2: ( $i * $i ) > $i ).
tff(decl_119,type,
esk72_2: ( $i * $i ) > $i ).
tff(decl_120,type,
esk73_2: ( $i * $i ) > $i ).
tff(decl_121,type,
esk74_2: ( $i * $i ) > $i ).
tff(decl_122,type,
esk75_2: ( $i * $i ) > $i ).
tff(decl_123,type,
esk76_2: ( $i * $i ) > $i ).
tff(decl_124,type,
esk77_2: ( $i * $i ) > $i ).
tff(decl_125,type,
esk78_2: ( $i * $i ) > $i ).
tff(decl_126,type,
esk79_2: ( $i * $i ) > $i ).
tff(decl_127,type,
esk80_2: ( $i * $i ) > $i ).
fof('T-Weak-FreeVar-abs-2',axiom,
! [X9,X10,X20,X21,X35,X15] :
( ( X9 = X21
& ~ visFreeVar(X9,vabs(X21,X35,veabs))
& vtcheck(X20,vabs(X21,X35,veabs),X15) )
=> vtcheck(vbind(X9,X10,X20),vabs(X21,X35,veabs),X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Weak-FreeVar-abs-2') ).
fof('T-Weak-FreeVar-abs-1',axiom,
! [X9,X10,X20,X21,X35,X15] :
( ( X9 != X21
& ~ visFreeVar(X9,vabs(X21,X35,veabs))
& vtcheck(X20,vabs(X21,X35,veabs),X15) )
=> vtcheck(vbind(X9,X10,X20),vabs(X21,X35,veabs),X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Weak-FreeVar-abs-1') ).
fof('T-Weak-FreeVar-abs',conjecture,
! [X9,X10,X20,X21,X35,X15] :
( ( ~ visFreeVar(X9,vabs(X21,X35,veabs))
& vtcheck(X20,vabs(X21,X35,veabs),X15) )
=> vtcheck(vbind(X9,X10,X20),vabs(X21,X35,veabs),X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Weak-FreeVar-abs') ).
fof(c_0_3,plain,
! [X9,X10,X20,X21,X35,X15] :
( ( X9 = X21
& ~ visFreeVar(X9,vabs(X21,X35,veabs))
& vtcheck(X20,vabs(X21,X35,veabs),X15) )
=> vtcheck(vbind(X9,X10,X20),vabs(X21,X35,veabs),X15) ),
inference(fof_simplification,[status(thm)],['T-Weak-FreeVar-abs-2']) ).
fof(c_0_4,plain,
! [X9,X10,X20,X21,X35,X15] :
( ( X9 != X21
& ~ visFreeVar(X9,vabs(X21,X35,veabs))
& vtcheck(X20,vabs(X21,X35,veabs),X15) )
=> vtcheck(vbind(X9,X10,X20),vabs(X21,X35,veabs),X15) ),
inference(fof_simplification,[status(thm)],['T-Weak-FreeVar-abs-1']) ).
fof(c_0_5,plain,
! [X317,X318,X319,X320,X321,X322] :
( X317 != X320
| visFreeVar(X317,vabs(X320,X321,veabs))
| ~ vtcheck(X319,vabs(X320,X321,veabs),X322)
| vtcheck(vbind(X317,X318,X319),vabs(X320,X321,veabs),X322) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])]) ).
fof(c_0_6,plain,
! [X311,X312,X313,X314,X315,X316] :
( X311 = X314
| visFreeVar(X311,vabs(X314,X315,veabs))
| ~ vtcheck(X313,vabs(X314,X315,veabs),X316)
| vtcheck(vbind(X311,X312,X313),vabs(X314,X315,veabs),X316) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])]) ).
fof(c_0_7,negated_conjecture,
~ ! [X9,X10,X20,X21,X35,X15] :
( ( ~ visFreeVar(X9,vabs(X21,X35,veabs))
& vtcheck(X20,vabs(X21,X35,veabs),X15) )
=> vtcheck(vbind(X9,X10,X20),vabs(X21,X35,veabs),X15) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],['T-Weak-FreeVar-abs'])]) ).
cnf(c_0_8,plain,
( visFreeVar(X1,vabs(X2,X3,veabs))
| vtcheck(vbind(X1,X6,X4),vabs(X2,X3,veabs),X5)
| X1 != X2
| ~ vtcheck(X4,vabs(X2,X3,veabs),X5) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( X1 = X2
| visFreeVar(X1,vabs(X2,X3,veabs))
| vtcheck(vbind(X1,X6,X4),vabs(X2,X3,veabs),X5)
| ~ vtcheck(X4,vabs(X2,X3,veabs),X5) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_10,negated_conjecture,
( ~ visFreeVar(esk32_0,vabs(esk35_0,esk36_0,veabs))
& vtcheck(esk34_0,vabs(esk35_0,esk36_0,veabs),esk37_0)
& ~ vtcheck(vbind(esk32_0,esk33_0,esk34_0),vabs(esk35_0,esk36_0,veabs),esk37_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])]) ).
cnf(c_0_11,plain,
( vtcheck(vbind(X1,X2,X3),vabs(X4,X5,veabs),X6)
| visFreeVar(X1,vabs(X4,X5,veabs))
| ~ vtcheck(X3,vabs(X4,X5,veabs),X6) ),
inference(csr,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,negated_conjecture,
vtcheck(esk34_0,vabs(esk35_0,esk36_0,veabs),esk37_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_13,negated_conjecture,
~ vtcheck(vbind(esk32_0,esk33_0,esk34_0),vabs(esk35_0,esk36_0,veabs),esk37_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,negated_conjecture,
( vtcheck(vbind(X1,X2,esk34_0),vabs(esk35_0,esk36_0,veabs),esk37_0)
| visFreeVar(X1,vabs(esk35_0,esk36_0,veabs)) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,negated_conjecture,
~ visFreeVar(esk32_0,vabs(esk35_0,esk36_0,veabs)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COM125+1 : TPTP v8.1.2. Released v6.4.0.
% 0.13/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 13:07:56 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.57 start to proof: theBenchmark
% 0.53/0.68 % Version : CSE_E---1.5
% 0.53/0.68 % Problem : theBenchmark.p
% 0.53/0.68 % Proof found
% 0.53/0.68 % SZS status Theorem for theBenchmark.p
% 0.53/0.68 % SZS output start Proof
% See solution above
% 0.53/0.69 % Total time : 0.108000 s
% 0.53/0.69 % SZS output end Proof
% 0.53/0.69 % Total time : 0.112000 s
%------------------------------------------------------------------------------