TSTP Solution File: LCL397-1 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : LCL397-1 : TPTP v8.1.2. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d

% Computer : n003.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 06:49:08 EDT 2023

% Result   : Timeout 287.29s 287.56s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : LCL397-1 : TPTP v8.1.2. Released v2.3.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.14/0.34  % Computer : n003.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Fri Aug 25 03:50:23 EDT 2023
% 0.14/0.34  % CPUTime    : 
% 0.20/0.63  start to proof:theBenchmark
% 287.29/287.56  %-------------------------------------------
% 287.29/287.56  % File        :CSE---1.6
% 287.29/287.56  % Problem     :theBenchmark
% 287.29/287.56  % Transform   :cnf
% 287.29/287.56  % Format      :tptp:raw
% 287.29/287.56  % Command     :java -jar mcs_scs.jar %d %s
% 287.29/287.56  
% 287.29/287.56  % Result      :Theorem 286.530000s
% 287.29/287.56  % Output      :CNFRefutation 286.530000s
% 287.29/287.56  %-------------------------------------------
% 287.34/287.65  %--------------------------------------------------------------------------
% 287.34/287.65  % File     : LCL397-1 : TPTP v8.1.2. Released v2.3.0.
% 287.34/287.65  % Domain   : Logic Calculi (Implication/Negation 2 valued sentential)
% 287.34/287.65  % Problem  : CN-63 depends on the Lukasiewicz system
% 287.34/287.65  % Version  : [McC92] axioms.
% 287.34/287.65  % English  : An axiomatisation of the Implication/Negation 2 valued
% 287.34/287.65  %            sentential calculus is {CN-1,CN-2,CN-3} by Lukasiewicz.
% 287.34/287.65  %            Show that CN-63 depends on the Lukasiewicz system.
% 287.34/287.65  
% 287.34/287.65  % Refs     : [Wos96] Wos (1996), Combining Resonance with Heat
% 287.34/287.65  %          : [McC92] McCune (1992), Email to G. Sutcliffe
% 287.34/287.65  % Source   : [Wos96]
% 287.34/287.65  % Names    : thesis_63 [Wos96]
% 287.34/287.65  
% 287.34/287.65  % Status   : Unsatisfiable
% 287.34/287.65  % Rating   : 0.00 v6.1.0, 0.07 v6.0.0, 0.00 v5.5.0, 0.06 v5.4.0, 0.11 v5.3.0, 0.15 v5.2.0, 0.08 v5.1.0, 0.12 v5.0.0, 0.13 v4.0.1, 0.00 v2.6.0, 0.14 v2.5.0, 0.00 v2.3.0
% 287.34/287.65  % Syntax   : Number of clauses     :    5 (   4 unt;   0 nHn;   2 RR)
% 287.34/287.65  %            Number of literals    :    7 (   0 equ;   3 neg)
% 287.34/287.65  %            Maximal clause size   :    3 (   1 avg)
% 287.34/287.65  %            Maximal term depth    :    4 (   2 avg)
% 287.34/287.65  %            Number of predicates  :    1 (   1 usr;   0 prp; 1-1 aty)
% 287.34/287.65  %            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
% 287.34/287.65  %            Number of variables   :    8 (   1 sgn)
% 287.34/287.65  % SPC      : CNF_UNS_RFO_NEQ_HRN
% 287.34/287.65  
% 287.34/287.65  % Comments :
% 287.34/287.65  %--------------------------------------------------------------------------
% 287.34/287.65  cnf(condensed_detachment,axiom,
% 287.34/287.65      ( ~ is_a_theorem(implies(X,Y))
% 287.34/287.65      | ~ is_a_theorem(X)
% 287.34/287.65      | is_a_theorem(Y) ) ).
% 287.34/287.65  
% 287.34/287.65  cnf(cn_1,axiom,
% 287.34/287.65      is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) ).
% 287.34/287.65  
% 287.34/287.65  cnf(cn_2,axiom,
% 287.34/287.65      is_a_theorem(implies(implies(not(X),X),X)) ).
% 287.34/287.65  
% 287.34/287.65  cnf(cn_3,axiom,
% 287.34/287.65      is_a_theorem(implies(X,implies(not(X),Y))) ).
% 287.34/287.65  
% 287.34/287.65  cnf(prove_cn_63,negated_conjecture,
% 287.34/287.65      ~ is_a_theorem(implies(x,implies(y,y))) ).
% 287.34/287.65  
% 287.34/287.65  %--------------------------------------------------------------------------
% 287.34/287.65  %-------------------------------------------
% 287.34/287.65  % Proof found
% 287.34/287.65  % SZS status Theorem for theBenchmark
% 287.34/287.65  % SZS output start Proof
% 287.34/287.74  %ClaNum:5(EqnAxiom:0)
% 287.34/287.74  %VarNum:16(SingletonVarNum:8)
% 287.34/287.74  %MaxLitNum:3
% 287.34/287.74  %MaxfuncDepth:3
% 287.34/287.74  %SharedTerms:5
% 287.34/287.74  %goalClause: 4
% 287.34/287.74  %singleGoalClaCount:1
% 287.34/287.74  [4]~P1(f2(a3,f2(a4,a4)))
% 287.34/287.74  [2]P1(f2(f2(f1(x21),x21),x21))
% 287.34/287.74  [1]P1(f2(x11,f2(f1(x11),x12)))
% 287.34/287.74  [3]P1(f2(f2(x31,x32),f2(f2(x32,x33),f2(x31,x33))))
% 287.34/287.74  [5]P1(x51)+~P1(x52)+~P1(f2(x52,x51))
% 287.34/287.74  %EqnAxiom
% 287.34/287.74  
% 287.34/287.74  %-------------------------------------------
% 287.54/287.83  cnf(6,plain,
% 287.54/287.83     (P1(f2(f2(f2(f1(x61),x62),x63),f2(x61,x63)))),
% 287.54/287.83     inference(scs_inference,[],[1,3,5])).
% 287.54/287.83  cnf(17,plain,
% 287.54/287.83     (P1(f2(x171,x171))),
% 287.54/287.83     inference(scs_inference,[],[2,6,5])).
% 287.54/287.83  cnf(24,plain,
% 287.54/287.83     (P1(f2(f1(f2(x241,x241)),x242))),
% 287.54/287.83     inference(scs_inference,[],[17,1,5])).
% 287.54/287.83  cnf(2844,plain,
% 287.54/287.83     (~P1(f2(f2(f2(f1(x28441),x28441),x28441),f2(a3,f2(a4,a4))))),
% 287.54/287.83     inference(scs_inference,[],[2,4,5])).
% 287.54/287.83  cnf(2851,plain,
% 287.54/287.83     (P1(x28511)+~P1(x28512)+~P1(f2(x28512,x28511))),
% 287.54/287.83     inference(rename_variables,[],[5])).
% 287.54/287.83  cnf(2852,plain,
% 287.54/287.83     (~P1(f2(a3,f2(f1(f2(a4,a4)),f2(a4,a4))))),
% 287.54/287.83     inference(scs_inference,[],[3,4,2844,5,2851])).
% 287.54/287.83  cnf(2863,plain,
% 287.54/287.83     (P1(x28631)+~P1(x28632)+~P1(f2(x28632,x28631))),
% 287.54/287.83     inference(rename_variables,[],[5])).
% 287.54/287.83  cnf(2865,plain,
% 287.54/287.83     (P1(x28651)+~P1(x28652)+~P1(f2(x28652,x28651))),
% 287.54/287.83     inference(rename_variables,[],[5])).
% 287.54/287.83  cnf(2866,plain,
% 287.54/287.83     (~P1(f2(f2(f2(f1(f2(a3,f2(f1(f2(a4,a4)),f2(a4,a4)))),f2(a3,f2(f1(f2(a4,a4)),f2(a4,a4)))),f2(a3,f2(f1(f2(a4,a4)),f2(a4,a4)))),f2(a3,f2(f1(f2(a4,a4)),f2(a4,a4)))))),
% 287.54/287.83     inference(scs_inference,[],[1,2852,2,5,2863,2865])).
% 287.54/287.83  cnf(2867,plain,
% 287.54/287.83     (P1(x28671)+~P1(x28672)+~P1(f2(x28672,x28671))),
% 287.54/287.83     inference(rename_variables,[],[5])).
% 287.54/287.83  cnf(2868,plain,
% 287.54/287.83     (~P1(f2(f2(f1(a3),x28681),f2(f1(f2(a4,a4)),f2(a4,a4))))),
% 287.54/287.83     inference(scs_inference,[],[1,2852,2,6,5,2863,2865,2867])).
% 287.54/287.83  cnf(2872,plain,
% 287.54/287.83     (P1(x28721)+~P1(x28722)+~P1(f2(x28722,x28721))),
% 287.54/287.83     inference(rename_variables,[],[5])).
% 287.54/287.83  cnf(2874,plain,
% 287.54/287.83     (P1(x28741)+~P1(x28742)+~P1(f2(x28742,x28741))),
% 287.54/287.83     inference(rename_variables,[],[5])).
% 287.54/287.83  cnf(2875,plain,
% 287.54/287.83     ($false),
% 287.54/287.83     inference(scs_inference,[],[1,2866,2868,24,2,3,5,2872,2874]),
% 287.54/287.83     ['proof']).
% 287.54/287.83  % SZS output end Proof
% 287.54/287.84  % Total time :286.530000s
%------------------------------------------------------------------------------