TSTP Solution File: LCL356-1 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL356-1 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n013.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 06:49:01 EDT 2023
% Result : Unsatisfiable 216.21s 216.24s
% Output : CNFRefutation 216.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL356-1 : TPTP v8.1.2. Released v2.3.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.17/0.34 % Computer : n013.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Fri Aug 25 03:26:47 EDT 2023
% 0.17/0.34 % CPUTime :
% 0.20/0.58 start to proof:theBenchmark
% 216.21/216.22 %-------------------------------------------
% 216.21/216.22 % File :CSE---1.6
% 216.21/216.22 % Problem :theBenchmark
% 216.21/216.22 % Transform :cnf
% 216.21/216.22 % Format :tptp:raw
% 216.21/216.22 % Command :java -jar mcs_scs.jar %d %s
% 216.21/216.22
% 216.21/216.22 % Result :Theorem 215.600000s
% 216.21/216.22 % Output :CNFRefutation 215.600000s
% 216.21/216.22 %-------------------------------------------
% 216.21/216.24 %--------------------------------------------------------------------------
% 216.21/216.24 % File : LCL356-1 : TPTP v8.1.2. Released v2.3.0.
% 216.21/216.24 % Domain : Logic Calculi (Implication/Negation 2 valued sentential)
% 216.21/216.24 % Problem : CN-05 depends on the Lukasiewicz system
% 216.21/216.24 % Version : [McC92] axioms.
% 216.21/216.24 % English : An axiomatisation of the Implication/Negation 2 valued
% 216.21/216.24 % sentential calculus is {CN-1,CN-2,CN-3} by Lukasiewicz.
% 216.21/216.24 % Show that CN-05 depends on the Lukasiewicz system.
% 216.21/216.24
% 216.21/216.24 % Refs : [Wos96] Wos (1996), Combining Resonance with Heat
% 216.21/216.24 % : [McC92] McCune (1992), Email to G. Sutcliffe
% 216.21/216.24 % Source : [Wos96]
% 216.21/216.24 % Names : thesis_05 [Wos96]
% 216.21/216.24
% 216.21/216.24 % Status : Unsatisfiable
% 216.21/216.24 % 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, 0.00 v2.3.0
% 216.21/216.24 % Syntax : Number of clauses : 5 ( 4 unt; 0 nHn; 2 RR)
% 216.21/216.24 % Number of literals : 7 ( 0 equ; 3 neg)
% 216.21/216.24 % Maximal clause size : 3 ( 1 avg)
% 216.21/216.24 % Maximal term depth : 5 ( 2 avg)
% 216.21/216.24 % Number of predicates : 1 ( 1 usr; 0 prp; 1-1 aty)
% 216.21/216.24 % Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% 216.21/216.24 % Number of variables : 8 ( 1 sgn)
% 216.21/216.24 % SPC : CNF_UNS_RFO_NEQ_HRN
% 216.21/216.24
% 216.21/216.24 % Comments :
% 216.21/216.24 %--------------------------------------------------------------------------
% 216.21/216.24 cnf(condensed_detachment,axiom,
% 216.21/216.24 ( ~ is_a_theorem(implies(X,Y))
% 216.21/216.24 | ~ is_a_theorem(X)
% 216.21/216.24 | is_a_theorem(Y) ) ).
% 216.21/216.24
% 216.21/216.24 cnf(cn_1,axiom,
% 216.21/216.24 is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) ).
% 216.21/216.24
% 216.21/216.24 cnf(cn_2,axiom,
% 216.21/216.24 is_a_theorem(implies(implies(not(X),X),X)) ).
% 216.21/216.24
% 216.21/216.24 cnf(cn_3,axiom,
% 216.21/216.24 is_a_theorem(implies(X,implies(not(X),Y))) ).
% 216.21/216.24
% 216.21/216.24 cnf(prove_cn_05,negated_conjecture,
% 216.21/216.24 ~ is_a_theorem(implies(implies(x,implies(y,z)),implies(implies(u,y),implies(x,implies(u,z))))) ).
% 216.21/216.24
% 216.21/216.24 %--------------------------------------------------------------------------
% 216.21/216.24 %-------------------------------------------
% 216.21/216.24 % Proof found
% 216.21/216.24 % SZS status Theorem for theBenchmark
% 216.21/216.24 % SZS output start Proof
% 216.21/216.25 %ClaNum:5(EqnAxiom:0)
% 216.21/216.25 %VarNum:16(SingletonVarNum:8)
% 216.21/216.25 %MaxLitNum:3
% 216.21/216.25 %MaxfuncDepth:4
% 216.21/216.25 %SharedTerms:12
% 216.21/216.25 %goalClause: 4
% 216.21/216.25 %singleGoalClaCount:1
% 216.21/216.25 [4]~P1(f2(f2(a3,f2(a5,a6)),f2(f2(a4,a5),f2(a3,f2(a4,a6)))))
% 216.21/216.25 [2]P1(f2(f2(f1(x21),x21),x21))
% 216.21/216.25 [1]P1(f2(x11,f2(f1(x11),x12)))
% 216.21/216.25 [3]P1(f2(f2(x31,x32),f2(f2(x32,x33),f2(x31,x33))))
% 216.21/216.25 [5]P1(x51)+~P1(x52)+~P1(f2(x52,x51))
% 216.21/216.25 %EqnAxiom
% 216.21/216.25
% 216.21/216.25 %-------------------------------------------
% 216.21/216.27 cnf(6,plain,
% 216.21/216.27 (P1(f2(f2(x61,x62),f2(f2(f1(x61),x61),x62)))),
% 216.21/216.27 inference(scs_inference,[],[2,3,5])).
% 216.21/216.27 cnf(21,plain,
% 216.21/216.27 (P1(f2(f2(f1(f2(x211,x212)),f2(x211,x212)),f2(f2(x212,x213),f2(x211,x213))))),
% 216.21/216.27 inference(scs_inference,[],[6,3,5])).
% 216.21/216.27 cnf(24,plain,
% 216.21/216.27 (P1(f2(f2(x241,x242),f2(x243,x242)))+~P1(f2(f1(f2(x243,x241)),f2(x243,x241)))),
% 216.21/216.27 inference(scs_inference,[],[21,5])).
% 216.21/216.27 cnf(3858,plain,
% 216.21/216.27 (P1(f2(f1(f2(f2(x38581,x38582),f2(f2(x38582,x38583),f2(x38581,x38583)))),x38584))),
% 216.21/216.27 inference(scs_inference,[],[3,1,5])).
% 216.21/216.27 cnf(3861,plain,
% 216.21/216.27 (P1(f2(f2(f2(f2(x38611,x38612),f2(x38613,x38612)),x38614),f2(f2(x38613,x38611),x38614)))),
% 216.21/216.27 inference(scs_inference,[],[3,1,5,24])).
% 216.21/216.27 cnf(3866,plain,
% 216.21/216.27 ($false),
% 216.21/216.27 inference(scs_inference,[],[4,3861,3858,5,24]),
% 216.21/216.27 ['proof']).
% 216.21/216.27 % SZS output end Proof
% 216.21/216.27 % Total time :215.600000s
%------------------------------------------------------------------------------