TSTP Solution File: LCL512+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : LCL512+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n024.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 : Thu Aug 31 06:54:27 EDT 2023
% Result : Theorem 0.21s 0.60s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 98
% Syntax : Number of formulae : 113 ( 12 unt; 92 typ; 0 def)
% Number of atoms : 34 ( 4 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 24 ( 11 ~; 8 |; 2 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 6 >; 4 *; 0 +; 0 <<)
% Number of predicates : 34 ( 32 usr; 32 prp; 0-2 aty)
% Number of functors : 60 ( 60 usr; 55 con; 0-2 aty)
% Number of variables : 22 ( 2 sgn; 12 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
modus_ponens: $o ).
tff(decl_23,type,
is_a_theorem: $i > $o ).
tff(decl_24,type,
implies: ( $i * $i ) > $i ).
tff(decl_25,type,
substitution_of_equivalents: $o ).
tff(decl_26,type,
equiv: ( $i * $i ) > $i ).
tff(decl_27,type,
modus_tollens: $o ).
tff(decl_28,type,
not: $i > $i ).
tff(decl_29,type,
implies_1: $o ).
tff(decl_30,type,
implies_2: $o ).
tff(decl_31,type,
implies_3: $o ).
tff(decl_32,type,
and_1: $o ).
tff(decl_33,type,
and: ( $i * $i ) > $i ).
tff(decl_34,type,
and_2: $o ).
tff(decl_35,type,
and_3: $o ).
tff(decl_36,type,
or_1: $o ).
tff(decl_37,type,
or: ( $i * $i ) > $i ).
tff(decl_38,type,
or_2: $o ).
tff(decl_39,type,
or_3: $o ).
tff(decl_40,type,
equivalence_1: $o ).
tff(decl_41,type,
equivalence_2: $o ).
tff(decl_42,type,
equivalence_3: $o ).
tff(decl_43,type,
kn1: $o ).
tff(decl_44,type,
kn2: $o ).
tff(decl_45,type,
kn3: $o ).
tff(decl_46,type,
cn1: $o ).
tff(decl_47,type,
cn2: $o ).
tff(decl_48,type,
cn3: $o ).
tff(decl_49,type,
r1: $o ).
tff(decl_50,type,
r2: $o ).
tff(decl_51,type,
r3: $o ).
tff(decl_52,type,
r4: $o ).
tff(decl_53,type,
r5: $o ).
tff(decl_54,type,
op_or: $o ).
tff(decl_55,type,
op_and: $o ).
tff(decl_56,type,
op_implies_and: $o ).
tff(decl_57,type,
op_implies_or: $o ).
tff(decl_58,type,
op_equiv: $o ).
tff(decl_59,type,
esk1_0: $i ).
tff(decl_60,type,
esk2_0: $i ).
tff(decl_61,type,
esk3_0: $i ).
tff(decl_62,type,
esk4_0: $i ).
tff(decl_63,type,
esk5_0: $i ).
tff(decl_64,type,
esk6_0: $i ).
tff(decl_65,type,
esk7_0: $i ).
tff(decl_66,type,
esk8_0: $i ).
tff(decl_67,type,
esk9_0: $i ).
tff(decl_68,type,
esk10_0: $i ).
tff(decl_69,type,
esk11_0: $i ).
tff(decl_70,type,
esk12_0: $i ).
tff(decl_71,type,
esk13_0: $i ).
tff(decl_72,type,
esk14_0: $i ).
tff(decl_73,type,
esk15_0: $i ).
tff(decl_74,type,
esk16_0: $i ).
tff(decl_75,type,
esk17_0: $i ).
tff(decl_76,type,
esk18_0: $i ).
tff(decl_77,type,
esk19_0: $i ).
tff(decl_78,type,
esk20_0: $i ).
tff(decl_79,type,
esk21_0: $i ).
tff(decl_80,type,
esk22_0: $i ).
tff(decl_81,type,
esk23_0: $i ).
tff(decl_82,type,
esk24_0: $i ).
tff(decl_83,type,
esk25_0: $i ).
tff(decl_84,type,
esk26_0: $i ).
tff(decl_85,type,
esk27_0: $i ).
tff(decl_86,type,
esk28_0: $i ).
tff(decl_87,type,
esk29_0: $i ).
tff(decl_88,type,
esk30_0: $i ).
tff(decl_89,type,
esk31_0: $i ).
tff(decl_90,type,
esk32_0: $i ).
tff(decl_91,type,
esk33_0: $i ).
tff(decl_92,type,
esk34_0: $i ).
tff(decl_93,type,
esk35_0: $i ).
tff(decl_94,type,
esk36_0: $i ).
tff(decl_95,type,
esk37_0: $i ).
tff(decl_96,type,
esk38_0: $i ).
tff(decl_97,type,
esk39_0: $i ).
tff(decl_98,type,
esk40_0: $i ).
tff(decl_99,type,
esk41_0: $i ).
tff(decl_100,type,
esk42_0: $i ).
tff(decl_101,type,
esk43_0: $i ).
tff(decl_102,type,
esk44_0: $i ).
tff(decl_103,type,
esk45_0: $i ).
tff(decl_104,type,
esk46_0: $i ).
tff(decl_105,type,
esk47_0: $i ).
tff(decl_106,type,
esk48_0: $i ).
tff(decl_107,type,
esk49_0: $i ).
tff(decl_108,type,
esk50_0: $i ).
tff(decl_109,type,
esk51_0: $i ).
tff(decl_110,type,
esk52_0: $i ).
tff(decl_111,type,
esk53_0: $i ).
tff(decl_112,type,
esk54_0: $i ).
tff(decl_113,type,
esk55_0: $i ).
fof(kn2,axiom,
( kn2
<=> ! [X4,X5] : is_a_theorem(implies(and(X4,X5),X4)) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+0.ax',kn2) ).
fof(op_equiv,axiom,
( op_equiv
=> ! [X1,X2] : equiv(X1,X2) = and(implies(X1,X2),implies(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+1.ax',op_equiv) ).
fof(equivalence_1,axiom,
( equivalence_1
<=> ! [X1,X2] : is_a_theorem(implies(equiv(X1,X2),implies(X1,X2))) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+0.ax',equivalence_1) ).
fof(hilbert_equivalence_1,conjecture,
equivalence_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_equivalence_1) ).
fof(rosser_kn2,axiom,
kn2,
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+5.ax',rosser_kn2) ).
fof(rosser_op_equiv,axiom,
op_equiv,
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+5.ax',rosser_op_equiv) ).
fof(c_0_6,plain,
! [X73,X74] :
( ( ~ kn2
| is_a_theorem(implies(and(X73,X74),X73)) )
& ( ~ is_a_theorem(implies(and(esk34_0,esk35_0),esk34_0))
| kn2 ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kn2])])])]) ).
fof(c_0_7,plain,
! [X125,X126] :
( ~ op_equiv
| equiv(X125,X126) = and(implies(X125,X126),implies(X126,X125)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[op_equiv])])]) ).
fof(c_0_8,plain,
! [X59,X60] :
( ( ~ equivalence_1
| is_a_theorem(implies(equiv(X59,X60),implies(X59,X60))) )
& ( ~ is_a_theorem(implies(equiv(esk27_0,esk28_0),implies(esk27_0,esk28_0)))
| equivalence_1 ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[equivalence_1])])])]) ).
fof(c_0_9,negated_conjecture,
~ equivalence_1,
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[hilbert_equivalence_1])]) ).
cnf(c_0_10,plain,
( is_a_theorem(implies(and(X1,X2),X1))
| ~ kn2 ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
kn2,
inference(split_conjunct,[status(thm)],[rosser_kn2]) ).
cnf(c_0_12,plain,
( equiv(X1,X2) = and(implies(X1,X2),implies(X2,X1))
| ~ op_equiv ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,plain,
op_equiv,
inference(split_conjunct,[status(thm)],[rosser_op_equiv]) ).
cnf(c_0_14,plain,
( equivalence_1
| ~ is_a_theorem(implies(equiv(esk27_0,esk28_0),implies(esk27_0,esk28_0))) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_15,negated_conjecture,
~ equivalence_1,
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_16,plain,
is_a_theorem(implies(and(X1,X2),X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_11])]) ).
cnf(c_0_17,plain,
and(implies(X1,X2),implies(X2,X1)) = equiv(X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13])]) ).
cnf(c_0_18,plain,
~ is_a_theorem(implies(equiv(esk27_0,esk28_0),implies(esk27_0,esk28_0))),
inference(sr,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,plain,
is_a_theorem(implies(equiv(X1,X2),implies(X1,X2))),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_19])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LCL512+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.15/0.35 % Computer : n024.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri Aug 25 05:12:54 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.57 start to proof: theBenchmark
% 0.21/0.60 % Version : CSE_E---1.5
% 0.21/0.60 % Problem : theBenchmark.p
% 0.21/0.60 % Proof found
% 0.21/0.60 % SZS status Theorem for theBenchmark.p
% 0.21/0.60 % SZS output start Proof
% See solution above
% 0.21/0.60 % Total time : 0.016000 s
% 0.21/0.60 % SZS output end Proof
% 0.21/0.60 % Total time : 0.020000 s
%------------------------------------------------------------------------------