TSTP Solution File: LCL257-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL257-1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n012.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 06:48:44 EDT 2023
% Result : Unsatisfiable 60.70s 62.81s
% Output : CNFRefutation 60.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL257-1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35 % Computer : n012.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 24 17:45:41 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.58 start to proof:theBenchmark
% 60.65/62.79 %-------------------------------------------
% 60.65/62.79 % File :CSE---1.6
% 60.65/62.79 % Problem :theBenchmark
% 60.65/62.79 % Transform :cnf
% 60.65/62.79 % Format :tptp:raw
% 60.65/62.79 % Command :java -jar mcs_scs.jar %d %s
% 60.65/62.79
% 60.65/62.79 % Result :Theorem 60.010000s
% 60.65/62.79 % Output :CNFRefutation 60.010000s
% 60.65/62.79 %-------------------------------------------
% 60.70/62.80 %--------------------------------------------------------------------------
% 60.70/62.80 % File : LCL257-1 : TPTP v8.1.2. Released v2.0.0.
% 60.70/62.80 % Domain : Logic Calculi (Equivalential)
% 60.70/62.80 % Problem : XHN depends on YQL
% 60.70/62.80 % Version : [TPTP] axioms.
% 60.70/62.80 % English : Show that XHN can be derived from the single Lukasiewicz
% 60.70/62.80 % axiom YQL.
% 60.70/62.80
% 60.70/62.80 % Refs : [MW92] McCune & Wos (1992), Experiments in Automated Deductio
% 60.70/62.80 % : [McC92] McCune (1992), Email to G. Sutcliffe
% 60.70/62.80 % : [Wos95] Wos (1995), Searching for Circles of Pure Proofs
% 60.70/62.80 % Source : [TPTP]
% 60.70/62.80 % Names :
% 60.70/62.80
% 60.70/62.80 % Status : Unsatisfiable
% 60.70/62.80 % 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
% 60.70/62.80 % Syntax : Number of clauses : 3 ( 2 unt; 0 nHn; 2 RR)
% 60.70/62.80 % Number of literals : 5 ( 0 equ; 3 neg)
% 60.70/62.80 % Maximal clause size : 3 ( 1 avg)
% 60.70/62.80 % Maximal term depth : 5 ( 2 avg)
% 60.70/62.80 % Number of predicates : 1 ( 1 usr; 0 prp; 1-1 aty)
% 60.70/62.80 % Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% 60.70/62.80 % Number of variables : 5 ( 0 sgn)
% 60.70/62.80 % SPC : CNF_UNS_RFO_NEQ_HRN
% 60.70/62.80
% 60.70/62.80 % Comments : This completes the loop of single axioms' dependence in
% 60.70/62.81 % problems LCL010 to LCL021.
% 60.70/62.81 % : Thought to be LCLunsatisfiable.
% 60.70/62.81 %--------------------------------------------------------------------------
% 60.70/62.81 cnf(condensed_detachment,axiom,
% 60.70/62.81 ( ~ is_a_theorem(equivalent(X,Y))
% 60.70/62.81 | ~ is_a_theorem(X)
% 60.70/62.81 | is_a_theorem(Y) ) ).
% 60.70/62.81
% 60.70/62.81 %----Axiom by Lukasiewicz
% 60.70/62.81 cnf(yql,axiom,
% 60.70/62.81 is_a_theorem(equivalent(equivalent(X,Y),equivalent(equivalent(Z,Y),equivalent(X,Z)))) ).
% 60.70/62.81
% 60.70/62.81 %----Axiom of symmetry
% 60.70/62.81 cnf(prove_xhn,negated_conjecture,
% 60.70/62.81 ~ is_a_theorem(equivalent(x,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y)))) ).
% 60.70/62.81
% 60.70/62.81 %--------------------------------------------------------------------------
% 60.70/62.81 %-------------------------------------------
% 60.70/62.81 % Proof found
% 60.70/62.81 % SZS status Theorem for theBenchmark
% 60.70/62.81 % SZS output start Proof
% 60.70/62.81 %ClaNum:3(EqnAxiom:0)
% 60.70/62.81 %VarNum:10(SingletonVarNum:5)
% 60.70/62.81 %MaxLitNum:3
% 60.70/62.81 %MaxfuncDepth:4
% 60.70/62.81 %SharedTerms:9
% 60.70/62.81 %goalClause: 2
% 60.70/62.81 %singleGoalClaCount:1
% 60.70/62.81 [2]~P1(f1(a2,f1(f1(a3,a4),f1(f1(a4,a2),a3))))
% 60.70/62.81 [1]P1(f1(f1(x11,x12),f1(f1(x13,x12),f1(x11,x13))))
% 60.70/62.81 [3]P1(x31)+~P1(x32)+~P1(f1(x32,x31))
% 60.70/62.81 %EqnAxiom
% 60.70/62.81
% 60.70/62.81 %-------------------------------------------
% 60.70/62.82 cnf(4,plain,
% 60.70/62.82 (P1(f1(f1(x41,x42),f1(x43,x41)))+~P1(f1(x43,x42))),
% 60.70/62.82 inference(scs_inference,[],[1,3])).
% 60.70/62.82 cnf(5,plain,
% 60.70/62.82 (P1(f1(f1(x51,f1(f1(x52,x53),f1(x54,x52))),f1(f1(x54,x53),x51)))),
% 60.70/62.82 inference(scs_inference,[],[1,4])).
% 60.70/62.82 cnf(6,plain,
% 60.70/62.82 (P1(f1(f1(x61,x62),f1(x61,x62)))),
% 60.70/62.82 inference(scs_inference,[],[1,4,3])).
% 60.70/62.82 cnf(7,plain,
% 60.70/62.82 (P1(f1(f1(x71,f1(x72,x73)),f1(f1(x72,x73),x71)))),
% 60.70/62.82 inference(scs_inference,[],[6,1,3])).
% 60.70/62.82 cnf(10,plain,
% 60.70/62.82 (P1(f1(f1(f1(x101,x102),x103),f1(x103,f1(f1(x104,x102),f1(x101,x104)))))),
% 60.70/62.82 inference(scs_inference,[],[7,5,3])).
% 60.70/62.82 cnf(15,plain,
% 60.70/62.82 (~P1(f1(x151,x152))+P1(x152)+~P1(x151)),
% 60.70/62.82 inference(rename_variables,[],[3])).
% 60.70/62.82 cnf(16,plain,
% 60.70/62.82 (~P1(f1(a2,f1(f1(a4,a2),a4)))),
% 60.70/62.82 inference(scs_inference,[],[7,10,2,3,15])).
% 60.70/62.82 cnf(22,plain,
% 60.70/62.82 (P1(f1(f1(x221,f1(f1(x222,x223),x224)),f1(f1(x224,f1(x222,x223)),x221)))),
% 60.70/62.82 inference(scs_inference,[],[7,4])).
% 60.70/62.82 cnf(26,plain,
% 60.70/62.82 (P1(f1(f1(f1(f1(x261,x262),f1(x263,x261)),f1(x264,x265)),f1(f1(x263,x262),f1(x264,x265))))),
% 60.70/62.82 inference(scs_inference,[],[10,22,3])).
% 60.70/62.82 cnf(30,plain,
% 60.70/62.82 (P1(f1(f1(x301,x302),f1(f1(x301,x303),f1(f1(x304,x302),f1(x303,x304)))))),
% 60.70/62.82 inference(scs_inference,[],[10,26,3])).
% 60.70/62.82 cnf(43,plain,
% 60.70/62.82 (P1(f1(f1(f1(f1(x431,x432),f1(x433,x431)),f1(x434,x433)),f1(x434,x432)))),
% 60.70/62.82 inference(scs_inference,[],[30,22,3])).
% 60.70/62.82 cnf(48,plain,
% 60.70/62.82 (~P1(f1(f1(f1(x481,f1(f1(a4,a2),a4)),f1(x482,x481)),f1(a2,x482)))),
% 60.70/62.82 inference(scs_inference,[],[16,43,3])).
% 60.70/62.82 cnf(51,plain,
% 60.70/62.82 ($false),
% 60.70/62.82 inference(scs_inference,[],[48,43]),
% 60.70/62.82 ['proof']).
% 60.70/62.82 % SZS output end Proof
% 60.70/62.82 % Total time :60.010000s
%------------------------------------------------------------------------------