TSTP Solution File: LCL361-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL361-1 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n032.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 06:49:02 EDT 2023
% Result : Unsatisfiable 0.13s 0.67s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : LCL361-1 : TPTP v8.1.2. Released v2.3.0.
% 0.00/0.09 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 300
% 0.09/0.28 % DateTime : Fri Aug 25 01:26:42 EDT 2023
% 0.09/0.28 % CPUTime :
% 0.13/0.46 start to proof:theBenchmark
% 0.13/0.67 %-------------------------------------------
% 0.13/0.67 % File :CSE---1.6
% 0.13/0.67 % Problem :theBenchmark
% 0.13/0.67 % Transform :cnf
% 0.13/0.67 % Format :tptp:raw
% 0.13/0.67 % Command :java -jar mcs_scs.jar %d %s
% 0.13/0.67
% 0.13/0.67 % Result :Theorem 0.170000s
% 0.13/0.67 % Output :CNFRefutation 0.170000s
% 0.13/0.67 %-------------------------------------------
% 0.13/0.67 %--------------------------------------------------------------------------
% 0.13/0.67 % File : LCL361-1 : TPTP v8.1.2. Released v2.3.0.
% 0.13/0.67 % Domain : Logic Calculi (Implication/Negation 2 valued sentential)
% 0.13/0.67 % Problem : CN-10 depends on the Lukasiewicz system
% 0.13/0.67 % Version : [McC92] axioms.
% 0.13/0.67 % English : An axiomatisation of the Implication/Negation 2 valued
% 0.13/0.67 % sentential calculus is {CN-1,CN-2,CN-3} by Lukasiewicz.
% 0.13/0.67 % Show that CN-10 depends on the Lukasiewicz system.
% 0.13/0.67
% 0.13/0.67 % Refs : [Wos96] Wos (1996), Combining Resonance with Heat
% 0.13/0.67 % : [McC92] McCune (1992), Email to G. Sutcliffe
% 0.13/0.67 % Source : [Wos96]
% 0.13/0.67 % Names : thesis_10 [Wos96]
% 0.13/0.67
% 0.13/0.67 % Status : Unsatisfiable
% 0.13/0.67 % 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 v2.3.0
% 0.13/0.67 % Syntax : Number of clauses : 5 ( 4 unt; 0 nHn; 2 RR)
% 0.13/0.67 % Number of literals : 7 ( 0 equ; 3 neg)
% 0.13/0.67 % Maximal clause size : 3 ( 1 avg)
% 0.13/0.67 % Maximal term depth : 6 ( 2 avg)
% 0.13/0.67 % Number of predicates : 1 ( 1 usr; 0 prp; 1-1 aty)
% 0.13/0.67 % Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% 0.13/0.67 % Number of variables : 8 ( 1 sgn)
% 0.13/0.67 % SPC : CNF_UNS_RFO_NEQ_HRN
% 0.13/0.67
% 0.13/0.67 % Comments :
% 0.13/0.67 %--------------------------------------------------------------------------
% 0.13/0.67 cnf(condensed_detachment,axiom,
% 0.13/0.67 ( ~ is_a_theorem(implies(X,Y))
% 0.13/0.67 | ~ is_a_theorem(X)
% 0.13/0.67 | is_a_theorem(Y) ) ).
% 0.13/0.67
% 0.13/0.67 cnf(cn_1,axiom,
% 0.13/0.67 is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) ).
% 0.13/0.67
% 0.13/0.67 cnf(cn_2,axiom,
% 0.13/0.67 is_a_theorem(implies(implies(not(X),X),X)) ).
% 0.13/0.67
% 0.13/0.67 cnf(cn_3,axiom,
% 0.13/0.67 is_a_theorem(implies(X,implies(not(X),Y))) ).
% 0.13/0.67
% 0.13/0.67 cnf(prove_cn_10,negated_conjecture,
% 0.13/0.67 ~ is_a_theorem(implies(x,implies(implies(implies(not(x),x),x),implies(implies(y,x),x)))) ).
% 0.13/0.67
% 0.13/0.67 %--------------------------------------------------------------------------
% 0.13/0.67 %-------------------------------------------
% 0.13/0.67 % Proof found
% 0.13/0.67 % SZS status Theorem for theBenchmark
% 0.13/0.67 % SZS output start Proof
% 0.13/0.67 %ClaNum:5(EqnAxiom:0)
% 0.13/0.67 %VarNum:16(SingletonVarNum:8)
% 0.13/0.67 %MaxLitNum:3
% 0.13/0.67 %MaxfuncDepth:4
% 0.13/0.67 %SharedTerms:10
% 0.13/0.67 %goalClause: 4
% 0.13/0.67 %singleGoalClaCount:1
% 0.13/0.67 [4]~P1(f2(a3,f2(f2(f2(f1(a3),a3),a3),f2(f2(a4,a3),a3))))
% 0.13/0.67 [2]P1(f2(f2(f1(x21),x21),x21))
% 0.13/0.67 [1]P1(f2(x11,f2(f1(x11),x12)))
% 0.13/0.67 [3]P1(f2(f2(x31,x32),f2(f2(x32,x33),f2(x31,x33))))
% 0.13/0.67 [5]P1(x51)+~P1(x52)+~P1(f2(x52,x51))
% 0.13/0.67 %EqnAxiom
% 0.13/0.67
% 0.13/0.67 %-------------------------------------------
% 0.13/0.68 cnf(8,plain,
% 0.13/0.68 (P1(f2(f2(f2(f1(x81),x82),x83),f2(x81,x83)))),
% 0.13/0.68 inference(scs_inference,[],[1,3,5])).
% 0.13/0.68 cnf(39,plain,
% 0.13/0.68 (P1(f2(x391,f2(f2(x392,x393),f2(f1(x391),x393))))),
% 0.13/0.68 inference(scs_inference,[],[3,8,5])).
% 0.13/0.68 cnf(131,plain,
% 0.13/0.68 (P1(f2(f2(f2(f2(x1311,x1312),f2(f1(x1313),x1312)),x1314),f2(x1313,x1314)))),
% 0.13/0.68 inference(scs_inference,[],[39,3,5])).
% 0.13/0.68 cnf(136,plain,
% 0.13/0.68 ($false),
% 0.13/0.68 inference(scs_inference,[],[131,4,3,5]),
% 0.13/0.68 ['proof']).
% 0.13/0.68 % SZS output end Proof
% 0.13/0.68 % Total time :0.170000s
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