TSTP Solution File: LCL041-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL041-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n004.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 06:47:45 EDT 2023
% Result : Unsatisfiable 8.22s 8.32s
% Output : CNFRefutation 8.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : LCL041-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.15 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.15/0.36 % Computer : n004.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 24 18:05:53 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.23/0.58 start to proof:theBenchmark
% 8.22/8.31 %-------------------------------------------
% 8.22/8.31 % File :CSE---1.6
% 8.22/8.31 % Problem :theBenchmark
% 8.22/8.31 % Transform :cnf
% 8.22/8.31 % Format :tptp:raw
% 8.22/8.31 % Command :java -jar mcs_scs.jar %d %s
% 8.22/8.31
% 8.22/8.31 % Result :Theorem 7.680000s
% 8.22/8.31 % Output :CNFRefutation 7.680000s
% 8.22/8.31 %-------------------------------------------
% 8.22/8.32 %--------------------------------------------------------------------------
% 8.22/8.32 % File : LCL041-1 : TPTP v8.1.2. Released v1.0.0.
% 8.22/8.32 % Domain : Logic Calculi (Implication/Negation 2 valued sentential)
% 8.22/8.32 % Problem : CN-30 depends on the rest of Hilbert's system
% 8.22/8.32 % Version : [McC92] axioms.
% 8.22/8.32 % English : An early axiomatisation of Implication/Negation 2 valued
% 8.22/8.32 % sentential calculus was {CN-3,CN-18,CN-21,CN-22,CN-30, CN-54}
% 8.22/8.32 % by Hilbert. Show, like Lukasiewicz did, that CN-30 depends
% 8.22/8.32 % on the rest of this axiomatisation.
% 8.22/8.32
% 8.22/8.32 % Refs : [MW92] McCune & Wos (1992), Experiments in Automated Deductio
% 8.22/8.32 % : [McC92] McCune (1992), Email to G. Sutcliffe
% 8.22/8.32 % Source : [McC92]
% 8.22/8.32 % Names : CN-2 [MW92]
% 8.22/8.32
% 8.22/8.32 % Status : Unsatisfiable
% 8.22/8.32 % Rating : 0.00 v5.4.0, 0.06 v5.3.0, 0.10 v5.2.0, 0.08 v5.1.0, 0.06 v5.0.0, 0.07 v4.0.1, 0.00 v2.1.0, 0.00 v2.0.0
% 8.22/8.32 % Syntax : Number of clauses : 7 ( 6 unt; 0 nHn; 2 RR)
% 8.22/8.32 % Number of literals : 9 ( 0 equ; 3 neg)
% 8.22/8.32 % Maximal clause size : 3 ( 1 avg)
% 8.22/8.32 % Maximal term depth : 5 ( 2 avg)
% 8.22/8.32 % Number of predicates : 1 ( 1 usr; 0 prp; 1-1 aty)
% 8.22/8.32 % Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% 8.22/8.32 % Number of variables : 14 ( 2 sgn)
% 8.22/8.32 % SPC : CNF_UNS_RFO_NEQ_HRN
% 8.22/8.32
% 8.22/8.32 % Comments :
% 8.22/8.32 %--------------------------------------------------------------------------
% 8.22/8.32 cnf(condensed_detachment,axiom,
% 8.22/8.32 ( ~ is_a_theorem(implies(X,Y))
% 8.22/8.32 | ~ is_a_theorem(X)
% 8.22/8.32 | is_a_theorem(Y) ) ).
% 8.22/8.32
% 8.22/8.32 cnf(cn_3,axiom,
% 8.22/8.32 is_a_theorem(implies(X,implies(not(X),Y))) ).
% 8.22/8.32
% 8.22/8.32 cnf(cn_18,axiom,
% 8.22/8.32 is_a_theorem(implies(X,implies(Y,X))) ).
% 8.22/8.32
% 8.22/8.32 cnf(cn_21,axiom,
% 8.22/8.32 is_a_theorem(implies(implies(X,implies(Y,Z)),implies(Y,implies(X,Z)))) ).
% 8.22/8.32
% 8.22/8.32 cnf(cn_22,axiom,
% 8.22/8.32 is_a_theorem(implies(implies(Y,Z),implies(implies(X,Y),implies(X,Z)))) ).
% 8.22/8.32
% 8.22/8.32 cnf(cn_54,axiom,
% 8.22/8.32 is_a_theorem(implies(implies(X,Y),implies(implies(not(X),Y),Y))) ).
% 8.22/8.32
% 8.22/8.32 cnf(prove_cn_30,negated_conjecture,
% 8.22/8.32 ~ is_a_theorem(implies(implies(a,implies(a,b)),implies(a,b))) ).
% 8.22/8.32
% 8.22/8.32 %--------------------------------------------------------------------------
% 8.22/8.32 %-------------------------------------------
% 8.22/8.32 % Proof found
% 8.22/8.32 % SZS status Theorem for theBenchmark
% 8.22/8.32 % SZS output start Proof
% 8.22/8.32 %ClaNum:7(EqnAxiom:0)
% 8.22/8.32 %VarNum:27(SingletonVarNum:14)
% 8.22/8.32 %MaxLitNum:3
% 8.22/8.32 %MaxfuncDepth:4
% 8.22/8.32 %SharedTerms:6
% 8.22/8.32 %goalClause: 6
% 8.22/8.32 %singleGoalClaCount:1
% 8.22/8.32 [6]~P1(f1(f1(a2,f1(a2,a3)),f1(a2,a3)))
% 8.22/8.32 [1]P1(f1(x11,f1(x12,x11)))
% 8.22/8.32 [2]P1(f1(x21,f1(f4(x21),x22)))
% 8.22/8.32 [3]P1(f1(f1(x31,x32),f1(f1(f4(x31),x32),x32)))
% 8.22/8.32 [4]P1(f1(f1(x41,x42),f1(f1(x43,x41),f1(x43,x42))))
% 8.22/8.32 [5]P1(f1(f1(x51,f1(x52,x53)),f1(x52,f1(x51,x53))))
% 8.22/8.32 [7]P1(x71)+~P1(x72)+~P1(f1(x72,x71))
% 8.22/8.32 %EqnAxiom
% 8.22/8.32
% 8.22/8.32 %-------------------------------------------
% 8.22/8.33 cnf(11,plain,
% 8.22/8.33 (P1(f1(f1(x111,x112),f1(x111,f1(x113,x112))))),
% 8.22/8.33 inference(scs_inference,[],[1,4,7])).
% 8.22/8.33 cnf(20,plain,
% 8.22/8.33 (P1(f1(f4(x201),f1(x201,x202)))),
% 8.22/8.33 inference(scs_inference,[],[2,5,7])).
% 8.22/8.33 cnf(24,plain,
% 8.22/8.33 (P1(f1(f1(f4(f1(x241,x242)),f1(x241,f1(x243,x242))),f1(x241,f1(x243,x242))))),
% 8.22/8.33 inference(scs_inference,[],[3,11,7])).
% 8.22/8.33 cnf(46,plain,
% 8.22/8.33 (P1(f1(f4(x461),f1(x462,f1(x461,x463))))),
% 8.22/8.33 inference(scs_inference,[],[20,11,7])).
% 8.22/8.33 cnf(65,plain,
% 8.22/8.33 (P1(f1(x651,f1(f1(x651,x652),x652)))),
% 8.22/8.33 inference(scs_inference,[],[24,46,7])).
% 8.22/8.33 cnf(1028,plain,
% 8.22/8.33 (P1(f1(f1(f4(x10281),f1(f1(x10281,x10282),x10282)),f1(f1(x10281,x10282),x10282)))),
% 8.22/8.33 inference(scs_inference,[],[3,65,7])).
% 8.22/8.33 cnf(1032,plain,
% 8.22/8.33 ($false),
% 8.22/8.33 inference(scs_inference,[],[1028,6,46,7]),
% 8.22/8.33 ['proof']).
% 8.22/8.33 % SZS output end Proof
% 8.22/8.33 % Total time :7.680000s
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