TSTP Solution File: LCL110-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL110-1 : 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 : n016.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 06:48:00 EDT 2023
% Result : Unsatisfiable 225.82s 225.80s
% Output : CNFRefutation 225.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL110-1 : 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
% 0.13/0.34 % Computer : n016.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 25 01:39:10 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 225.61/225.78 %-------------------------------------------
% 225.61/225.78 % File :CSE---1.6
% 225.61/225.78 % Problem :theBenchmark
% 225.61/225.78 % Transform :cnf
% 225.61/225.78 % Format :tptp:raw
% 225.61/225.78 % Command :java -jar mcs_scs.jar %d %s
% 225.61/225.78
% 225.61/225.78 % Result :Theorem 225.170000s
% 225.61/225.78 % Output :CNFRefutation 225.170000s
% 225.61/225.78 %-------------------------------------------
% 225.82/225.79 %--------------------------------------------------------------------------
% 225.82/225.79 % File : LCL110-1 : TPTP v8.1.2. Released v1.0.0.
% 225.82/225.79 % Domain : Logic Calculi (Many valued sentential)
% 225.82/225.79 % Problem : MV-24 depnds on the Merideth system
% 225.82/225.79 % Version : [McC92] axioms.
% 225.82/225.80 % English : An axiomatisation of the many valued sentential calculus
% 225.82/225.80 % is {MV-1,MV-2,MV-3,MV-5} by Meredith. Show that MV24 depends
% 225.82/225.80 % on the Meredith system.
% 225.82/225.80
% 225.82/225.80 % Refs : [MW92] McCune & Wos (1992), Experiments in Automated Deductio
% 225.82/225.80 % : [McC92] McCune (1992), Email to G. Sutcliffe
% 225.82/225.80 % Source : [McC92]
% 225.82/225.80 % Names : MV-56 [MW92]
% 225.82/225.80 % : mv.in part 1 [OTTER]
% 225.82/225.80
% 225.82/225.80 % Status : Unsatisfiable
% 225.82/225.80 % Rating : 0.00 v5.4.0, 0.06 v5.3.0, 0.15 v5.2.0, 0.08 v5.1.0, 0.06 v5.0.0, 0.07 v4.0.1, 0.00 v2.2.1, 0.22 v2.1.0, 0.25 v2.0.0
% 225.82/225.80 % Syntax : Number of clauses : 6 ( 5 unt; 0 nHn; 2 RR)
% 225.82/225.80 % Number of literals : 8 ( 0 equ; 3 neg)
% 225.82/225.80 % Maximal clause size : 3 ( 1 avg)
% 225.82/225.80 % Maximal term depth : 4 ( 2 avg)
% 225.82/225.80 % Number of predicates : 1 ( 1 usr; 0 prp; 1-1 aty)
% 225.82/225.80 % Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% 225.82/225.80 % Number of variables : 11 ( 1 sgn)
% 225.82/225.80 % SPC : CNF_UNS_RFO_NEQ_HRN
% 225.82/225.80
% 225.82/225.80 % Comments :
% 225.82/225.80 %--------------------------------------------------------------------------
% 225.82/225.80 cnf(condensed_detachment,axiom,
% 225.82/225.80 ( ~ is_a_theorem(implies(X,Y))
% 225.82/225.80 | ~ is_a_theorem(X)
% 225.82/225.80 | is_a_theorem(Y) ) ).
% 225.82/225.80
% 225.82/225.80 cnf(mv_1,axiom,
% 225.82/225.80 is_a_theorem(implies(X,implies(Y,X))) ).
% 225.82/225.80
% 225.82/225.80 cnf(mv_2,axiom,
% 225.82/225.80 is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) ).
% 225.82/225.80
% 225.82/225.80 cnf(mv_3,axiom,
% 225.82/225.80 is_a_theorem(implies(implies(implies(X,Y),Y),implies(implies(Y,X),X))) ).
% 225.82/225.80
% 225.82/225.80 cnf(mv_5,axiom,
% 225.82/225.80 is_a_theorem(implies(implies(not(X),not(Y)),implies(Y,X))) ).
% 225.82/225.80
% 225.82/225.80 cnf(prove_mv_24,negated_conjecture,
% 225.82/225.80 ~ is_a_theorem(implies(not(not(a)),a)) ).
% 225.82/225.80
% 225.82/225.80 %--------------------------------------------------------------------------
% 225.82/225.80 %-------------------------------------------
% 225.82/225.80 % Proof found
% 225.82/225.80 % SZS status Theorem for theBenchmark
% 225.82/225.80 % SZS output start Proof
% 225.82/225.81 %ClaNum:6(EqnAxiom:0)
% 225.82/225.81 %VarNum:23(SingletonVarNum:11)
% 225.82/225.81 %MaxLitNum:3
% 225.82/225.81 %MaxfuncDepth:3
% 225.82/225.81 %SharedTerms:5
% 225.82/225.81 %goalClause: 5
% 225.82/225.81 %singleGoalClaCount:1
% 225.82/225.81 [5]~P1(f1(f3(f3(a2)),a2))
% 225.82/225.81 [1]P1(f1(x11,f1(x12,x11)))
% 225.82/225.81 [2]P1(f1(f1(f3(x21),f3(x22)),f1(x22,x21)))
% 225.82/225.81 [4]P1(f1(f1(f1(x41,x42),x42),f1(f1(x42,x41),x41)))
% 225.82/225.81 [3]P1(f1(f1(x31,x32),f1(f1(x32,x33),f1(x31,x33))))
% 225.82/225.81 [6]P1(x61)+~P1(x62)+~P1(f1(x62,x61))
% 225.82/225.81 %EqnAxiom
% 225.82/225.81
% 225.82/225.81 %-------------------------------------------
% 225.82/225.82 cnf(10,plain,
% 225.82/225.82 (P1(f1(f1(f1(x101,x102),x103),f1(x102,x103)))),
% 225.82/225.82 inference(scs_inference,[],[1,3,6])).
% 225.82/225.82 cnf(16,plain,
% 225.82/225.82 (P1(f1(x161,f1(f1(x161,x162),f1(x163,x162))))),
% 225.82/225.82 inference(scs_inference,[],[3,10,6])).
% 225.82/225.82 cnf(20,plain,
% 225.82/225.82 (P1(f1(f1(f1(f1(f3(x201),f3(x202)),f1(x202,x201)),x203),f1(x204,x203)))),
% 225.82/225.82 inference(scs_inference,[],[2,16,6])).
% 225.82/225.82 cnf(23,plain,
% 225.82/225.82 (P1(f1(f1(f1(f1(x231,x232),f1(x233,x232)),x234),f1(x231,x234)))),
% 225.82/225.82 inference(scs_inference,[],[3,16,6])).
% 225.82/225.82 cnf(27,plain,
% 225.82/225.82 (P1(f1(f1(x271,x272),x272))+~P1(f1(f1(x272,x271),x271))),
% 225.82/225.82 inference(scs_inference,[],[4,6])).
% 225.82/225.82 cnf(31,plain,
% 225.82/225.82 (P1(f1(f1(f1(f1(f1(x311,x312),x313),f1(x312,x313)),x314),f1(x315,x314)))),
% 225.82/225.82 inference(scs_inference,[],[10,16,6])).
% 225.82/225.82 cnf(34,plain,
% 225.82/225.82 (P1(f1(x341,f1(f1(x341,x342),x342)))),
% 225.82/225.82 inference(scs_inference,[],[4,10,6])).
% 225.82/225.82 cnf(38,plain,
% 225.82/225.82 (P1(f1(f1(f1(f1(x381,x382),x382),x383),f1(x381,x383)))),
% 225.82/225.82 inference(scs_inference,[],[34,3,6])).
% 225.82/225.82 cnf(51,plain,
% 225.82/225.82 (P1(f1(f1(x511,x512),f1(x511,f1(x513,x512))))),
% 225.82/225.82 inference(scs_inference,[],[23,38,6])).
% 225.82/225.82 cnf(55,plain,
% 225.82/225.82 (P1(f1(f1(f3(x551),f3(x552)),f1(x553,f1(x552,x551))))),
% 225.82/225.82 inference(scs_inference,[],[51,2,6])).
% 225.82/225.82 cnf(58,plain,
% 225.82/225.82 (P1(f1(x581,f1(x582,x583)))+~P1(f1(f3(x583),f3(x582)))),
% 225.82/225.82 inference(scs_inference,[],[55,6])).
% 225.82/225.82 cnf(60,plain,
% 225.82/225.82 (~P1(f1(f3(x601),f3(x602)))+P1(f1(f1(f1(x602,x601),x603),x603))),
% 225.82/225.82 inference(scs_inference,[],[58,27])).
% 225.82/225.82 cnf(71,plain,
% 225.82/225.82 (P1(f1(f1(f1(x711,x712),x713),x713))+~P1(f1(f1(f1(f3(x714),f3(x715)),f1(x715,x714)),f1(f3(x712),f3(x711))))),
% 225.82/225.82 inference(scs_inference,[],[2,60,6])).
% 225.82/225.82 cnf(74,plain,
% 225.82/225.82 (P1(f1(x741,f1(f3(x742),f1(x742,x743))))),
% 225.82/225.82 inference(scs_inference,[],[10,20,6])).
% 225.82/225.82 cnf(79,plain,
% 225.82/225.82 (P1(f1(f3(x791),f1(x791,x792)))),
% 225.82/225.82 inference(scs_inference,[],[4,74,6])).
% 225.82/225.82 cnf(151,plain,
% 225.82/225.82 (P1(f1(f1(f1(x1511,x1512),x1513),f1(f3(x1511),x1513)))),
% 225.82/225.82 inference(scs_inference,[],[3,79,6])).
% 225.82/225.82 cnf(154,plain,
% 225.82/225.82 (~P1(f1(f1(f3(a2),x1541),a2))),
% 225.82/225.82 inference(scs_inference,[],[151,5,6])).
% 225.82/225.82 cnf(314,plain,
% 225.82/225.82 (P1(f1(x3141,f1(x3142,f1(x3143,x3143))))),
% 225.82/225.82 inference(scs_inference,[],[31,38,6])).
% 225.82/225.82 cnf(318,plain,
% 225.82/225.82 (P1(f1(x3181,f1(x3182,x3182)))),
% 225.82/225.82 inference(scs_inference,[],[31,314,6])).
% 225.82/225.82 cnf(730,plain,
% 225.82/225.82 (~P1(f1(f1(f1(f1(x7301,x7301),x7302),x7302),f1(f1(f3(a2),x7303),a2)))),
% 225.82/225.82 inference(scs_inference,[],[318,154,71,6])).
% 225.82/225.82 cnf(3333,plain,
% 225.82/225.82 (P1(f1(f1(f1(x33331,x33332),x33333),f1(f1(f3(x33332),f3(x33331)),x33333)))),
% 225.82/225.82 inference(scs_inference,[],[2,3,6])).
% 225.82/225.82 cnf(3374,plain,
% 225.82/225.82 ($false),
% 225.82/225.82 inference(scs_inference,[],[3333,730]),
% 225.82/225.82 ['proof']).
% 225.82/225.82 % SZS output end Proof
% 225.82/225.82 % Total time :225.170000s
%------------------------------------------------------------------------------