%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : LCL357-1 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 11:19:01 AM UTC 2026
% Result : Unsatisfiable 58.17s 58.30s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL357-1 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.02 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.08/0.34 % Computer : n006.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Sun Sep 6 00:40:16 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.14/0.45 start to proof:theBenchmark
% 58.07/58.29 %-------------------------------------------
% 58.07/58.29 % File :CSE---1.7
% 58.07/58.29 % Problem :theBenchmark
% 58.07/58.29 % Transform :cnf
% 58.07/58.29 % Format :tptp:raw
% 58.07/58.29 % Command :java -jar mcs_scs.jar %d %s
% 58.07/58.29
% 58.07/58.30 % Result :Theorem 57.834088s
% 58.07/58.30 % Output :CNFRefutation 57.834088s
% 58.07/58.30 %-------------------------------------------
% 58.17/58.30 %--------------------------------------------------------------------------
% 58.17/58.30 % File : LCL357-1 : TPTP v9.3.1. Released v2.3.0.
% 58.17/58.30 % Domain : Logic Calculi (Implication/Negation 2 valued sentential)
% 58.17/58.30 % Problem : CN-06 depends on the Lukasiewicz system
% 58.17/58.30 % Version : [McC92] axioms.
% 58.17/58.30 % English : An axiomatisation of the Implication/Negation 2 valued
% 58.17/58.30 % sentential calculus is {CN-1,CN-2,CN-3} by Lukasiewicz.
% 58.17/58.30 % Show that CN-06 depends on the Lukasiewicz system.
% 58.17/58.30
% 58.17/58.30 % Refs : [Wos96] Wos (1996), Combining Resonance with Heat
% 58.17/58.30 % : [McC92] McCune (1992), Email to G. Sutcliffe
% 58.17/58.30 % Source : [Wos96]
% 58.17/58.30 % Names : thesis_06 [Wos96]
% 58.17/58.30
% 58.17/58.30 % Status : Unsatisfiable
% 58.17/58.30 % Rating : 0.00 v5.4.0, 0.06 v5.3.0, 0.10 v5.2.0, 0.00 v2.3.0
% 58.17/58.30 % Syntax : Number of clauses : 5 ( 4 unt; 0 nHn; 2 RR)
% 58.17/58.30 % Number of literals : 7 ( 0 equ; 3 neg)
% 58.17/58.30 % Maximal clause size : 3 ( 1 avg)
% 58.17/58.30 % Maximal term depth : 5 ( 2 avg)
% 58.17/58.30 % Number of predicates : 1 ( 1 usr; 0 prp; 1-1 aty)
% 58.17/58.30 % Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% 58.17/58.30 % Number of variables : 8 ( 1 sgn)
% 58.17/58.30 % SPC : CNF_UNS_RFO_NEQ_HRN
% 58.17/58.30
% 58.17/58.30 % Comments :
% 58.17/58.30 %--------------------------------------------------------------------------
% 58.17/58.30 cnf(condensed_detachment,axiom,
% 58.17/58.30 ( ~ is_a_theorem(implies(X,Y))
% 58.17/58.30 | ~ is_a_theorem(X)
% 58.17/58.30 | is_a_theorem(Y) ) ).
% 58.17/58.30
% 58.17/58.30 cnf(cn_1,axiom,
% 58.17/58.30 is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) ).
% 58.17/58.30
% 58.17/58.30 cnf(cn_2,axiom,
% 58.17/58.30 is_a_theorem(implies(implies(not(X),X),X)) ).
% 58.17/58.30
% 58.17/58.30 cnf(cn_3,axiom,
% 58.17/58.30 is_a_theorem(implies(X,implies(not(X),Y))) ).
% 58.17/58.30
% 58.17/58.30 cnf(prove_cn_06,negated_conjecture,
% 58.17/58.30 ~ is_a_theorem(implies(implies(x,y),implies(implies(implies(x,z),u),implies(implies(y,z),u)))) ).
% 58.17/58.30
% 58.17/58.30 %--------------------------------------------------------------------------
% 58.17/58.30 %-------------------------------------------
% 58.17/58.30 % Proof found
% 58.17/58.30 % SZS status Theorem for theBenchmark
% 58.17/58.30 % SZS output start Proof
% 58.17/58.30 %ClaNum:5(EqnAxiom:0)
% 58.17/58.30 %VarNum:16(SingletonVarNum:8)
% 58.17/58.30 %MaxLitNum:3
% 58.17/58.30 %MaxfuncDepth:4
% 58.17/58.30 %SharedTerms:12
% 58.17/58.30 %goalClause: 4
% 58.17/58.30 %singleGoalClaCount:1
% 58.17/58.30 [4]~P1(f2(f2(a3,a5),f2(f2(f2(a3,a6),a4),f2(f2(a5,a6),a4))))
% 58.17/58.30 [2]P1(f2(f2(f1(x21),x21),x21))
% 58.17/58.30 [1]P1(f2(x11,f2(f1(x11),x12)))
% 58.17/58.30 [3]P1(f2(f2(x31,x32),f2(f2(x32,x33),f2(x31,x33))))
% 58.17/58.30 [5]P1(x51)+~P1(x52)+~P1(f2(x52,x51))
% 58.17/58.30 %EqnAxiom
% 58.17/58.30
% 58.17/58.30 %-------------------------------------------
% 58.17/58.31 cnf(6,plain,
% 58.17/58.31 (P1(f2(f2(x61,x62),f2(f2(f1(x61),x61),x62)))),
% 58.17/58.31 inference(scs_inference,[],[2,3,5])).
% 58.17/58.31 cnf(17,plain,
% 58.17/58.31 (P1(f2(f2(f1(f2(x171,x172)),f2(x171,x172)),f2(f2(x172,x173),f2(x171,x173))))),
% 58.17/58.31 inference(scs_inference,[],[3,6,5])).
% 58.17/58.31 cnf(20,plain,
% 58.17/58.31 (P1(f2(f2(x201,x202),f2(x203,x202)))+~P1(f2(f1(f2(x203,x201)),f2(x203,x201)))),
% 58.17/58.31 inference(scs_inference,[],[17,5])).
% 58.17/58.31 cnf(55,plain,
% 58.17/58.31 (P1(f2(f2(f2(f2(x551,x552),f2(x553,x552)),x554),f2(f2(x553,x551),x554)))),
% 58.17/58.31 inference(scs_inference,[],[3,1,5,20])).
% 58.17/58.31 cnf(57,plain,
% 58.17/58.31 ($false),
% 58.17/58.31 inference(scs_inference,[],[3,55,4,5]),
% 58.17/58.31 ['proof']).
% 58.17/58.31 % SZS output end Proof
% 58.17/58.31 % Total time :57.834088s
%------------------------------------------------------------------------------