TSTP Solution File: LCL117-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL117-1 : 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 : n001.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 06:48:02 EDT 2023
% Result : Unsatisfiable 120.61s 121.39s
% Output : CNFRefutation 120.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL117-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.15/0.34 % Computer : n001.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Fri Aug 25 07:48:43 EDT 2023
% 0.15/0.34 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 120.57/121.36 %-------------------------------------------
% 120.57/121.36 % File :CSE---1.6
% 120.57/121.36 % Problem :theBenchmark
% 120.57/121.36 % Transform :cnf
% 120.57/121.36 % Format :tptp:raw
% 120.57/121.36 % Command :java -jar mcs_scs.jar %d %s
% 120.57/121.36
% 120.57/121.36 % Result :Theorem 120.000000s
% 120.57/121.36 % Output :CNFRefutation 120.000000s
% 120.57/121.36 %-------------------------------------------
% 120.61/121.39 %--------------------------------------------------------------------------
% 120.61/121.39 % File : LCL117-1 : TPTP v8.1.2. Released v1.0.0.
% 120.61/121.39 % Domain : Logic Calculi (R)
% 120.61/121.39 % Problem : QYF depends on YQM
% 120.61/121.39 % Version : [McC92] axioms.
% 120.61/121.39 % English : Single axioms for the R calculus are QYF, YQM, WO, all
% 120.61/121.39 % by Meredith and XGJ by Winker. Show that QYF depends on YQM.
% 120.61/121.39
% 120.61/121.39 % Refs : [MW92] McCune & Wos (1992), Experiments in Automated Deductio
% 120.61/121.39 % : [McC92] McCune (1992), Email to G. Sutcliffe
% 120.61/121.39 % Source : [McC92]
% 120.61/121.39 % Names : R-85 [MW92]
% 120.61/121.39
% 120.61/121.39 % Status : Unsatisfiable
% 120.61/121.39 % Rating : 0.00 v5.4.0, 0.06 v5.3.0, 0.10 v5.2.0, 0.00 v2.1.0, 0.00 v2.0.0
% 120.61/121.39 % Syntax : Number of clauses : 3 ( 2 unt; 0 nHn; 2 RR)
% 120.61/121.39 % Number of literals : 5 ( 0 equ; 3 neg)
% 120.61/121.39 % Maximal clause size : 3 ( 1 avg)
% 120.61/121.39 % Maximal term depth : 4 ( 2 avg)
% 120.61/121.39 % Number of predicates : 1 ( 1 usr; 0 prp; 1-1 aty)
% 120.61/121.39 % Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% 120.61/121.39 % Number of variables : 5 ( 0 sgn)
% 120.61/121.39 % SPC : CNF_UNS_RFO_NEQ_HRN
% 120.61/121.39
% 120.61/121.39 % Comments :
% 120.61/121.39 %--------------------------------------------------------------------------
% 120.61/121.39 cnf(condensed_detachment,axiom,
% 120.61/121.39 ( ~ is_a_theorem(equivalent(X,Y))
% 120.61/121.39 | ~ is_a_theorem(X)
% 120.61/121.39 | is_a_theorem(Y) ) ).
% 120.61/121.39
% 120.61/121.39 %----Axiom from Meredith
% 120.61/121.39 cnf(yqm,axiom,
% 120.61/121.39 is_a_theorem(equivalent(equivalent(X,Y),equivalent(equivalent(Z,Y),equivalent(Z,X)))) ).
% 120.61/121.39
% 120.61/121.39 %----Axiom from Meredith
% 120.61/121.39 cnf(prove_qyf,negated_conjecture,
% 120.61/121.39 ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(a,c)),equivalent(c,b))) ).
% 120.61/121.39
% 120.61/121.39 %--------------------------------------------------------------------------
% 120.61/121.39 %-------------------------------------------
% 120.61/121.39 % Proof found
% 120.61/121.39 % SZS status Theorem for theBenchmark
% 120.61/121.39 % SZS output start Proof
% 120.61/121.44 %ClaNum:3(EqnAxiom:0)
% 120.61/121.44 %VarNum:10(SingletonVarNum:5)
% 120.61/121.44 %MaxLitNum:3
% 120.61/121.44 %MaxfuncDepth:3
% 120.61/121.44 %SharedTerms:9
% 120.61/121.44 %goalClause: 2
% 120.61/121.44 %singleGoalClaCount:1
% 120.61/121.44 [2]~P1(f1(f1(f1(a2,a3),f1(a2,a4)),f1(a4,a3)))
% 120.61/121.44 [1]P1(f1(f1(x11,x12),f1(f1(x13,x12),f1(x13,x11))))
% 120.61/121.44 [3]P1(x31)+~P1(x32)+~P1(f1(x32,x31))
% 120.61/121.44 %EqnAxiom
% 120.61/121.44
% 120.61/121.44 %-------------------------------------------
% 120.61/121.50 cnf(4,plain,
% 120.61/121.50 (P1(f1(f1(x41,x42),f1(x41,x43)))+~P1(f1(x43,x42))),
% 120.61/121.50 inference(scs_inference,[],[1,3])).
% 120.61/121.50 cnf(5,plain,
% 120.61/121.50 (P1(f1(f1(x51,f1(f1(x52,x53),f1(x52,x54))),f1(x51,f1(x54,x53))))),
% 120.61/121.50 inference(scs_inference,[],[1,4])).
% 120.61/121.50 cnf(7,plain,
% 120.61/121.50 (P1(f1(f1(x71,f1(x72,f1(x73,x74))),f1(x71,f1(x72,f1(f1(x75,x74),f1(x75,x73))))))),
% 120.61/121.50 inference(scs_inference,[],[5,4])).
% 120.61/121.50 cnf(16,plain,
% 120.61/121.50 (P1(f1(f1(x161,x162),f1(f1(x163,x162),f1(f1(x164,x161),f1(x164,x163)))))),
% 120.61/121.50 inference(scs_inference,[],[1,7,3])).
% 120.61/121.50 cnf(19,plain,
% 120.61/121.50 (P1(f1(f1(x191,f1(f1(x192,x193),f1(f1(x194,x195),f1(x194,x192)))),f1(x191,f1(x195,x193))))),
% 120.61/121.50 inference(scs_inference,[],[1,7,3,4])).
% 120.61/121.50 cnf(21,plain,
% 120.61/121.50 (~P1(f1(f1(f1(a2,a3),f1(a2,a4)),f1(f1(x211,a3),f1(f1(x212,a4),f1(x212,x211)))))),
% 120.61/121.50 inference(scs_inference,[],[19,2,3])).
% 120.61/121.50 cnf(28,plain,
% 120.61/121.50 (P1(f1(f1(x281,f1(f1(x282,x283),f1(x282,x284))),f1(f1(x285,f1(x284,x283)),f1(x285,x281))))),
% 120.61/121.50 inference(scs_inference,[],[1,16,3])).
% 120.61/121.50 cnf(31,plain,
% 120.61/121.50 (~P1(f1(f1(f1(x311,a4),f1(x311,a2)),f1(f1(x312,a4),f1(x312,a2))))),
% 120.61/121.50 inference(scs_inference,[],[28,21,3])).
% 120.61/121.50 cnf(39,plain,
% 120.61/121.50 ($false),
% 120.61/121.50 inference(scs_inference,[],[28,31,1,3]),
% 120.61/121.50 ['proof']).
% 120.61/121.50 % SZS output end Proof
% 120.61/121.50 % Total time :120.000000s
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