TSTP Solution File: LCL022-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL022-1 : 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 : n019.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 06:47:41 EDT 2023
% Result : Unsatisfiable 120.65s 121.52s
% Output : CNFRefutation 120.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL022-1 : 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
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Aug 25 06:09:58 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 120.65/121.47 %-------------------------------------------
% 120.65/121.47 % File :CSE---1.6
% 120.65/121.47 % Problem :theBenchmark
% 120.65/121.47 % Transform :cnf
% 120.65/121.47 % Format :tptp:raw
% 120.65/121.47 % Command :java -jar mcs_scs.jar %d %s
% 120.65/121.47
% 120.65/121.47 % Result :Theorem 120.040000s
% 120.65/121.47 % Output :CNFRefutation 120.040000s
% 120.65/121.47 %-------------------------------------------
% 120.65/121.52 %--------------------------------------------------------------------------
% 120.65/121.52 % File : LCL022-1 : TPTP v8.1.2. Released v1.0.0.
% 120.65/121.52 % Domain : Logic Calculi (Equivalential)
% 120.65/121.52 % Problem : EC-1 depends on YQL
% 120.65/121.52 % Version : [OTTER] axioms.
% 120.65/121.52 % English : An axiomatisation of the equivalential calculus is {EC-1,
% 120.65/121.52 % EC-2} by Lesniewski. Show that EC-1 can be derived from the
% 120.65/121.52 % single Lukasiewicz axiom YQL.
% 120.65/121.52
% 120.65/121.52 % Refs :
% 120.65/121.52 % Source : [OTTER]
% 120.65/121.52 % Names : ec.in part 1 [OTTER]
% 120.65/121.52
% 120.65/121.52 % Status : Unsatisfiable
% 120.65/121.52 % 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 v2.2.1, 0.11 v2.1.0, 0.13 v2.0.0
% 120.65/121.52 % Syntax : Number of clauses : 3 ( 2 unt; 0 nHn; 2 RR)
% 120.65/121.52 % Number of literals : 5 ( 0 equ; 3 neg)
% 120.65/121.52 % Maximal clause size : 3 ( 1 avg)
% 120.65/121.52 % Maximal term depth : 4 ( 2 avg)
% 120.65/121.52 % Number of predicates : 1 ( 1 usr; 0 prp; 1-1 aty)
% 120.65/121.52 % Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% 120.65/121.52 % Number of variables : 5 ( 0 sgn)
% 120.65/121.52 % SPC : CNF_UNS_RFO_NEQ_HRN
% 120.65/121.52
% 120.65/121.52 % Comments :
% 120.65/121.52 %--------------------------------------------------------------------------
% 120.65/121.52 cnf(condensed_detachment,axiom,
% 120.65/121.52 ( ~ is_a_theorem(equivalent(X,Y))
% 120.65/121.52 | ~ is_a_theorem(X)
% 120.65/121.52 | is_a_theorem(Y) ) ).
% 120.65/121.52
% 120.65/121.52 %----Axiom by Lukasiewicz
% 120.65/121.52 cnf(yql,axiom,
% 120.65/121.52 is_a_theorem(equivalent(equivalent(X,Y),equivalent(equivalent(Z,Y),equivalent(X,Z)))) ).
% 120.65/121.52
% 120.65/121.52 %----Axiom of symmetry
% 120.65/121.52 cnf(prove_ec_1,negated_conjecture,
% 120.65/121.52 ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(b,c))) ).
% 120.65/121.52
% 120.65/121.52 %--------------------------------------------------------------------------
% 120.65/121.52 %-------------------------------------------
% 120.65/121.52 % Proof found
% 120.65/121.52 % SZS status Theorem for theBenchmark
% 120.65/121.52 % SZS output start Proof
% 120.65/121.57 %ClaNum:3(EqnAxiom:0)
% 120.65/121.57 %VarNum:10(SingletonVarNum:5)
% 120.65/121.57 %MaxLitNum:3
% 120.65/121.57 %MaxfuncDepth:3
% 120.65/121.57 %SharedTerms:9
% 120.65/121.57 %goalClause: 2
% 120.65/121.57 %singleGoalClaCount:1
% 120.65/121.57 [2]~P1(f1(f1(f1(a2,a3),f1(a4,a2)),f1(a3,a4)))
% 120.65/121.57 [1]P1(f1(f1(x11,x12),f1(f1(x13,x12),f1(x11,x13))))
% 120.65/121.57 [3]P1(x31)+~P1(x32)+~P1(f1(x32,x31))
% 120.65/121.57 %EqnAxiom
% 120.65/121.57
% 120.65/121.57 %-------------------------------------------
% 120.65/121.63 cnf(4,plain,
% 120.65/121.63 (P1(f1(f1(x41,x42),f1(x43,x41)))+~P1(f1(x43,x42))),
% 120.65/121.63 inference(scs_inference,[],[1,3])).
% 120.65/121.63 cnf(5,plain,
% 120.65/121.63 (P1(f1(f1(x51,f1(f1(x52,x53),f1(x54,x52))),f1(f1(x54,x53),x51)))),
% 120.65/121.63 inference(scs_inference,[],[1,4])).
% 120.65/121.63 cnf(7,plain,
% 120.65/121.63 (P1(f1(f1(x71,f1(f1(x72,x73),x74)),f1(f1(x74,f1(f1(x75,x73),f1(x72,x75))),x71)))),
% 120.65/121.63 inference(scs_inference,[],[5,4])).
% 120.65/121.63 cnf(9,plain,
% 120.65/121.63 (P1(f1(f1(f1(x91,x92),f1(f1(x93,x94),f1(x92,x93))),f1(x91,x94)))),
% 120.65/121.63 inference(scs_inference,[],[1,5,4,3])).
% 120.65/121.63 cnf(11,plain,
% 120.65/121.63 (P1(f1(f1(x111,f1(x112,x113)),f1(f1(f1(x112,x114),f1(f1(x115,x113),f1(x114,x115))),x111)))),
% 120.65/121.63 inference(scs_inference,[],[9,4])).
% 120.65/121.63 cnf(13,plain,
% 120.65/121.63 (~P1(f1(f1(f1(f1(a2,a3),f1(a4,a2)),x131),f1(f1(x132,f1(a3,a4)),f1(x131,x132))))),
% 120.65/121.63 inference(scs_inference,[],[9,2,4,3])).
% 120.65/121.63 cnf(19,plain,
% 120.65/121.63 (~P1(f1(f1(f1(x191,f1(a3,a4)),f1(f1(f1(x192,x193),f1(x194,x192)),x191)),f1(f1(x194,x193),f1(f1(a2,a3),f1(a4,a2)))))),
% 120.65/121.63 inference(scs_inference,[],[7,13,3])).
% 120.65/121.63 cnf(23,plain,
% 120.65/121.63 (~P1(f1(f1(f1(x231,x232),f1(f1(a2,a3),f1(a4,a2))),f1(f1(f1(a3,a4),f1(x233,x232)),f1(x231,x233))))),
% 120.65/121.63 inference(scs_inference,[],[11,19,3])).
% 120.65/121.63 cnf(115,plain,
% 120.65/121.63 ($false),
% 120.65/121.63 inference(scs_inference,[],[23,5,11,3]),
% 120.65/121.63 ['proof']).
% 120.65/121.63 % SZS output end Proof
% 120.65/121.63 % Total time :120.040000s
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