TSTP Solution File: LCL023-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL023-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n021.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 120.68s 121.28s
% Output : CNFRefutation 120.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LCL023-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.11/0.33 % Computer : n021.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Thu Aug 24 18:11:40 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.17/0.55 start to proof:theBenchmark
% 120.68/121.25 %-------------------------------------------
% 120.68/121.25 % File :CSE---1.6
% 120.68/121.25 % Problem :theBenchmark
% 120.68/121.25 % Transform :cnf
% 120.68/121.25 % Format :tptp:raw
% 120.68/121.25 % Command :java -jar mcs_scs.jar %d %s
% 120.68/121.25
% 120.68/121.25 % Result :Theorem 120.120000s
% 120.68/121.25 % Output :CNFRefutation 120.120000s
% 120.68/121.25 %-------------------------------------------
% 120.68/121.28 %--------------------------------------------------------------------------
% 120.68/121.28 % File : LCL023-1 : TPTP v8.1.2. Released v1.0.0.
% 120.68/121.28 % Domain : Logic Calculi (Equivalential)
% 120.68/121.28 % Problem : EC-2 depends on YQL
% 120.68/121.28 % Version : [OTTER] axioms.
% 120.68/121.28 % English : An axiomatisation of the equivalential calculus is {EC-1,
% 120.68/121.28 % EC-2} by Lesniewski. Show that EC-2 can be derived from the
% 120.68/121.28 % single Lukasiewicz axiom YQL.
% 120.68/121.28
% 120.68/121.28 % Refs :
% 120.68/121.28 % Source : [OTTER]
% 120.68/121.28 % Names : ec.in part 2 [OTTER]
% 120.68/121.28
% 120.68/121.28 % Status : Unsatisfiable
% 120.68/121.28 % 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
% 120.68/121.28 % Syntax : Number of clauses : 3 ( 2 unt; 0 nHn; 2 RR)
% 120.68/121.28 % Number of literals : 5 ( 0 equ; 3 neg)
% 120.68/121.28 % Maximal clause size : 3 ( 1 avg)
% 120.68/121.28 % Maximal term depth : 4 ( 2 avg)
% 120.68/121.28 % Number of predicates : 1 ( 1 usr; 0 prp; 1-1 aty)
% 120.68/121.28 % Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% 120.68/121.28 % Number of variables : 5 ( 0 sgn)
% 120.68/121.28 % SPC : CNF_UNS_RFO_NEQ_HRN
% 120.68/121.28
% 120.68/121.28 % Comments :
% 120.68/121.28 %--------------------------------------------------------------------------
% 120.68/121.28 cnf(condensed_detachment,axiom,
% 120.68/121.28 ( ~ is_a_theorem(equivalent(X,Y))
% 120.68/121.28 | ~ is_a_theorem(X)
% 120.68/121.28 | is_a_theorem(Y) ) ).
% 120.68/121.28
% 120.68/121.28 %----Axiom by Lukasiewicz
% 120.68/121.28 cnf(yql,axiom,
% 120.68/121.28 is_a_theorem(equivalent(equivalent(X,Y),equivalent(equivalent(Z,Y),equivalent(X,Z)))) ).
% 120.68/121.28
% 120.68/121.28 %----Axiom of symmetry
% 120.68/121.28 cnf(prove_ec_2,negated_conjecture,
% 120.68/121.28 ~ is_a_theorem(equivalent(equivalent(a,equivalent(b,c)),equivalent(equivalent(a,b),c))) ).
% 120.68/121.28
% 120.68/121.28 %--------------------------------------------------------------------------
% 120.68/121.28 %-------------------------------------------
% 120.68/121.28 % Proof found
% 120.68/121.28 % SZS status Theorem for theBenchmark
% 120.68/121.28 % SZS output start Proof
% 120.72/121.30 %ClaNum:3(EqnAxiom:0)
% 120.72/121.30 %VarNum:10(SingletonVarNum:5)
% 120.72/121.30 %MaxLitNum:3
% 120.72/121.30 %MaxfuncDepth:3
% 120.72/121.31 %SharedTerms:9
% 120.72/121.31 %goalClause: 2
% 120.72/121.31 %singleGoalClaCount:1
% 120.72/121.31 [2]~P1(f1(f1(a2,f1(a3,a4)),f1(f1(a2,a3),a4)))
% 120.72/121.31 [1]P1(f1(f1(x11,x12),f1(f1(x13,x12),f1(x11,x13))))
% 120.72/121.31 [3]P1(x31)+~P1(x32)+~P1(f1(x32,x31))
% 120.72/121.31 %EqnAxiom
% 120.72/121.31
% 120.72/121.31 %-------------------------------------------
% 120.72/121.33 cnf(4,plain,
% 120.72/121.33 (P1(f1(f1(x41,x42),f1(x43,x41)))+~P1(f1(x43,x42))),
% 120.72/121.33 inference(scs_inference,[],[1,3])).
% 120.72/121.33 cnf(5,plain,
% 120.72/121.33 (P1(f1(f1(x51,f1(f1(x52,x53),f1(x54,x52))),f1(f1(x54,x53),x51)))),
% 120.72/121.33 inference(scs_inference,[],[1,4])).
% 120.72/121.33 cnf(6,plain,
% 120.72/121.33 (~P1(f1(f1(f1(a2,a3),a4),f1(f1(x61,f1(a3,a4)),f1(a2,x61))))),
% 120.72/121.33 inference(scs_inference,[],[1,2,4,3])).
% 120.72/121.33 cnf(7,plain,
% 120.72/121.33 (~P1(f1(f1(a3,f1(a3,a4)),a4))),
% 120.72/121.33 inference(scs_inference,[],[1,6,3])).
% 120.72/121.33 cnf(14,plain,
% 120.72/121.33 (P1(f1(f1(x141,f1(f1(x142,x143),x144)),f1(f1(x144,f1(f1(x145,x143),f1(x142,x145))),x141)))),
% 120.72/121.33 inference(scs_inference,[],[5,4])).
% 120.72/121.33 cnf(16,plain,
% 120.72/121.33 (P1(f1(f1(f1(x161,x162),f1(f1(x163,x164),f1(x162,x163))),f1(x161,x164)))),
% 120.72/121.33 inference(scs_inference,[],[1,5,4,3])).
% 120.72/121.33 cnf(18,plain,
% 120.72/121.33 (P1(f1(f1(x181,f1(x182,x183)),f1(f1(f1(x182,x184),f1(f1(x185,x183),f1(x184,x185))),x181)))),
% 120.72/121.33 inference(scs_inference,[],[16,4])).
% 120.72/121.33 cnf(53,plain,
% 120.72/121.33 (~P1(f1(f1(f1(a3,f1(a3,a4)),x531),f1(f1(x532,a4),f1(x531,x532))))),
% 120.72/121.33 inference(scs_inference,[],[7,16,3])).
% 120.72/121.33 cnf(56,plain,
% 120.72/121.33 (~P1(f1(f1(f1(x561,a4),f1(f1(f1(x562,x563),f1(x564,x562)),x561)),f1(f1(x564,x563),f1(a3,f1(a3,a4)))))),
% 120.72/121.33 inference(scs_inference,[],[14,53,3])).
% 120.72/121.33 cnf(60,plain,
% 120.72/121.33 (~P1(f1(f1(f1(x601,x602),f1(a3,f1(a3,a4))),f1(f1(x603,f1(x601,x604)),f1(f1(x603,f1(x604,x602)),a4))))),
% 120.72/121.33 inference(scs_inference,[],[14,56,3])).
% 120.72/121.33 cnf(64,plain,
% 120.72/121.33 (~P1(f1(f1(x641,f1(f1(x641,f1(x642,a4)),x642)),f1(a3,f1(a3,a4))))),
% 120.72/121.33 inference(scs_inference,[],[60,1,3])).
% 120.72/121.33 cnf(68,plain,
% 120.72/121.33 (~P1(f1(f1(a3,f1(a3,a4)),f1(x681,f1(f1(x682,f1(x681,x682)),a4))))),
% 120.72/121.33 inference(scs_inference,[],[18,64,3])).
% 120.72/121.33 cnf(203,plain,
% 120.72/121.33 ($false),
% 120.72/121.33 inference(scs_inference,[],[68,18,5,3,4]),
% 120.72/121.33 ['proof']).
% 120.72/121.33 % SZS output end Proof
% 120.72/121.33 % Total time :120.120000s
%------------------------------------------------------------------------------