TSTP Solution File: SYN072+1 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : SYN072+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/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 : Fri Sep  1 01:44:02 EDT 2023

% Result   : Theorem 0.20s 0.71s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : SYN072+1 : TPTP v8.1.2. Released v2.0.0.
% 0.12/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34  % Computer : n021.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   : Sat Aug 26 20:03:42 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.58  start to proof:theBenchmark
% 0.20/0.71  %-------------------------------------------
% 0.20/0.71  % File        :CSE---1.6
% 0.20/0.71  % Problem     :theBenchmark
% 0.20/0.71  % Transform   :cnf
% 0.20/0.71  % Format      :tptp:raw
% 0.20/0.71  % Command     :java -jar mcs_scs.jar %d %s
% 0.20/0.71  
% 0.20/0.71  % Result      :Theorem 0.080000s
% 0.20/0.71  % Output      :CNFRefutation 0.080000s
% 0.20/0.71  %-------------------------------------------
% 0.20/0.71  %--------------------------------------------------------------------------
% 0.20/0.71  % File     : SYN072+1 : TPTP v8.1.2. Released v2.0.0.
% 0.20/0.71  % Domain   : Syntactic
% 0.20/0.71  % Problem  : Pelletier Problem 49
% 0.20/0.71  % Version  : Especial.
% 0.20/0.71  % English  :
% 0.20/0.71  
% 0.20/0.71  % Refs     : [Pel86] Pelletier (1986), Seventy-five Problems for Testing Au
% 0.20/0.71  %          : [Hah94] Haehnle (1994), Email to G. Sutcliffe
% 0.20/0.71  % Source   : [Hah94]
% 0.20/0.71  % Names    : Pelletier 49 [Pel86]
% 0.20/0.71  
% 0.20/0.71  % Status   : Theorem
% 0.20/0.71  % Rating   : 0.00 v5.3.0, 0.18 v5.2.0, 0.25 v5.0.0, 0.00 v4.1.0, 0.13 v4.0.1, 0.09 v4.0.0, 0.08 v3.7.0, 0.00 v3.2.0, 0.11 v3.1.0, 0.17 v2.7.0, 0.00 v2.4.0, 0.00 v2.3.0, 0.33 v2.2.1, 0.00 v2.1.0
% 0.20/0.71  % Syntax   : Number of formulae    :    5 (   4 unt;   0 def)
% 0.20/0.71  %            Number of atoms       :    6 (   3 equ)
% 0.20/0.71  %            Maximal formula atoms :    2 (   1 avg)
% 0.20/0.71  %            Number of connectives :    2 (   1   ~;   1   |;   0   &)
% 0.20/0.71  %                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
% 0.20/0.71  %            Maximal formula depth :    5 (   2 avg)
% 0.20/0.71  %            Maximal term depth    :    1 (   1 avg)
% 0.20/0.71  %            Number of predicates  :    2 (   1 usr;   0 prp; 1-2 aty)
% 0.20/0.71  %            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
% 0.20/0.71  %            Number of variables   :    4 (   2   !;   2   ?)
% 0.20/0.71  % SPC      : FOF_THM_EPR_SEQ
% 0.20/0.71  
% 0.20/0.71  % Comments :
% 0.20/0.71  %--------------------------------------------------------------------------
% 0.20/0.71  %----Problem axioms
% 0.20/0.71  fof(pel49_1,axiom,
% 0.20/0.71      ? [X,Y] :
% 0.20/0.71      ! [Z] :
% 0.20/0.71        ( Z = X
% 0.20/0.71        | Z = Y ) ).
% 0.20/0.71  
% 0.20/0.71  fof(pel49_2,axiom,
% 0.20/0.71      big_p(a) ).
% 0.20/0.71  
% 0.20/0.71  fof(pel49_3,axiom,
% 0.20/0.71      big_p(b) ).
% 0.20/0.71  
% 0.20/0.71  fof(pel49_4,axiom,
% 0.20/0.71      a != b ).
% 0.20/0.71  
% 0.20/0.71  fof(pel49,conjecture,
% 0.20/0.71      ! [X] : big_p(X) ).
% 0.20/0.71  
% 0.20/0.71  %--------------------------------------------------------------------------
% 0.20/0.71  %-------------------------------------------
% 0.20/0.71  % Proof found
% 0.20/0.71  % SZS status Theorem for theBenchmark
% 0.20/0.71  % SZS output start Proof
% 0.20/0.71  %ClaNum:9(EqnAxiom:4)
% 0.20/0.71  %VarNum:2(SingletonVarNum:1)
% 0.20/0.71  %MaxLitNum:2
% 0.20/0.71  %MaxfuncDepth:0
% 0.20/0.71  %SharedTerms:9
% 0.20/0.71  %goalClause: 8
% 0.20/0.71  %singleGoalClaCount:1
% 0.20/0.71  [5]P1(a1)
% 0.20/0.71  [6]P1(a2)
% 0.20/0.71  [7]~E(a1,a2)
% 0.20/0.71  [8]~P1(a3)
% 0.20/0.71  [9]E(x91,a5)+E(x91,a4)
% 0.20/0.71  %EqnAxiom
% 0.20/0.71  [1]E(x11,x11)
% 0.20/0.71  [2]E(x22,x21)+~E(x21,x22)
% 0.20/0.71  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.20/0.71  [4]~P1(x41)+P1(x42)+~E(x41,x42)
% 0.20/0.71  
% 0.20/0.71  %-------------------------------------------
% 0.20/0.72  cnf(10,plain,
% 0.20/0.72     (~E(a2,a1)),
% 0.20/0.72     inference(scs_inference,[],[7,2])).
% 0.20/0.72  cnf(11,plain,
% 0.20/0.72     (~E(a1,a3)),
% 0.20/0.72     inference(scs_inference,[],[8,5,7,2,4])).
% 0.20/0.72  cnf(12,plain,
% 0.20/0.72     (~E(x121,a2)+~E(a1,x121)),
% 0.20/0.72     inference(scs_inference,[],[8,5,7,2,4,3])).
% 0.20/0.72  cnf(13,plain,
% 0.20/0.72     (~E(a4,a2)+E(a1,a5)),
% 0.20/0.72     inference(scs_inference,[],[8,5,7,2,4,3,9])).
% 0.20/0.72  cnf(15,plain,
% 0.20/0.72     (~E(a2,a3)),
% 0.20/0.72     inference(scs_inference,[],[8,6,4])).
% 0.20/0.72  cnf(16,plain,
% 0.20/0.72     (~E(x161,a1)+~E(x161,a2)),
% 0.20/0.72     inference(scs_inference,[],[12,2])).
% 0.20/0.72  cnf(17,plain,
% 0.20/0.72     (~E(a3,a1)),
% 0.20/0.72     inference(scs_inference,[],[11,2])).
% 0.20/0.72  cnf(18,plain,
% 0.20/0.72     (~E(a2,a4)+E(a1,a5)),
% 0.20/0.72     inference(scs_inference,[],[13,2])).
% 0.20/0.72  cnf(19,plain,
% 0.20/0.72     (~E(a2,x191)+~E(x191,a1)),
% 0.20/0.72     inference(scs_inference,[],[16,2])).
% 0.20/0.72  cnf(21,plain,
% 0.20/0.72     (~E(x211,a3)+~E(a2,x211)),
% 0.20/0.72     inference(scs_inference,[],[15,3])).
% 0.20/0.72  cnf(22,plain,
% 0.20/0.72     (~E(a1,x221)+~E(a2,x221)),
% 0.20/0.72     inference(scs_inference,[],[19,2])).
% 0.20/0.72  cnf(24,plain,
% 0.20/0.72     (~E(a3,a2)),
% 0.20/0.72     inference(scs_inference,[],[15,2])).
% 0.20/0.72  cnf(25,plain,
% 0.20/0.72     (E(a2,a4)+~E(a5,a3)),
% 0.20/0.72     inference(scs_inference,[],[21,9])).
% 0.20/0.72  cnf(26,plain,
% 0.20/0.72     (~E(a1,a4)+~E(a5,a3)),
% 0.20/0.72     inference(scs_inference,[],[22,25])).
% 0.20/0.72  cnf(28,plain,
% 0.20/0.72     (~E(a3,a5)+~E(a1,a4)),
% 0.20/0.72     inference(scs_inference,[],[26,2])).
% 0.20/0.72  cnf(29,plain,
% 0.20/0.72     (E(a1,a5)+~E(a3,a5)),
% 0.20/0.72     inference(scs_inference,[],[28,9])).
% 0.20/0.72  cnf(30,plain,
% 0.20/0.72     (~E(a2,a5)+~E(a3,a5)),
% 0.20/0.72     inference(scs_inference,[],[29,22])).
% 0.20/0.72  cnf(31,plain,
% 0.20/0.72     (~E(x311,a1)+~E(a3,x311)),
% 0.20/0.72     inference(scs_inference,[],[17,3])).
% 0.20/0.72  cnf(32,plain,
% 0.20/0.72     (~E(a4,a1)+E(a3,a5)),
% 0.20/0.72     inference(scs_inference,[],[17,3,9])).
% 0.20/0.72  cnf(36,plain,
% 0.20/0.72     (~E(a4,a1)+~E(a2,a5)),
% 0.20/0.72     inference(scs_inference,[],[30,32])).
% 0.20/0.72  cnf(37,plain,
% 0.20/0.72     (~E(a4,a1)+~E(a5,a1)),
% 0.20/0.72     inference(scs_inference,[],[31,32])).
% 0.20/0.72  cnf(39,plain,
% 0.20/0.72     (~E(a1,a4)+~E(a2,a5)),
% 0.20/0.72     inference(scs_inference,[],[36,2])).
% 0.20/0.72  cnf(40,plain,
% 0.20/0.72     (~E(a1,a4)+~E(a5,a1)),
% 0.20/0.72     inference(scs_inference,[],[37,2])).
% 0.20/0.72  cnf(42,plain,
% 0.20/0.72     (~E(x421,a2)+~E(a3,x421)),
% 0.20/0.72     inference(scs_inference,[],[24,3])).
% 0.20/0.72  cnf(43,plain,
% 0.20/0.72     (E(a1,a5)+~E(a2,a5)),
% 0.20/0.72     inference(scs_inference,[],[39,9])).
% 0.20/0.72  cnf(44,plain,
% 0.20/0.72     (~E(x441,a4)+~E(a1,x441)+~E(a5,a1)),
% 0.20/0.72     inference(scs_inference,[],[40,3])).
% 0.20/0.72  cnf(47,plain,
% 0.20/0.72     (~E(a2,a5)),
% 0.20/0.72     inference(scs_inference,[],[43,22])).
% 0.20/0.72  cnf(48,plain,
% 0.20/0.72     (E(a2,a4)),
% 0.20/0.72     inference(scs_inference,[],[47,9])).
% 0.20/0.72  cnf(53,plain,
% 0.20/0.72     (~E(a1,a4)),
% 0.20/0.72     inference(scs_inference,[],[6,10,47,9,4,3,2,22])).
% 0.20/0.72  cnf(55,plain,
% 0.20/0.72     (E(a1,a5)),
% 0.20/0.72     inference(scs_inference,[],[6,10,47,9,4,3,2,22,21,18])).
% 0.20/0.72  cnf(56,plain,
% 0.20/0.72     (~E(a5,a4)+~E(a5,a1)),
% 0.20/0.72     inference(scs_inference,[],[53,44,9])).
% 0.20/0.72  cnf(59,plain,
% 0.20/0.72     (~E(a3,a5)),
% 0.20/0.72     inference(scs_inference,[],[55,2,56,31])).
% 0.20/0.72  cnf(64,plain,
% 0.20/0.72     ($false),
% 0.20/0.72     inference(scs_inference,[],[59,48,2,42,9]),
% 0.20/0.72     ['proof']).
% 0.20/0.72  % SZS output end Proof
% 0.20/0.72  % Total time :0.080000s
%------------------------------------------------------------------------------