TSTP Solution File: SYN312-1 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : SYN312-1 : TPTP v8.1.2. Bugfixed v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d

% Computer : n027.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 01:45:07 EDT 2023

% Result   : Unsatisfiable 0.87s 0.93s
% Output   : CNFRefutation 0.89s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SYN312-1 : TPTP v8.1.2. Bugfixed v2.0.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.14/0.35  % Computer : n027.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sat Aug 26 17:34:20 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.21/0.57  start to proof:theBenchmark
% 0.83/0.92  %-------------------------------------------
% 0.83/0.92  % File        :CSE---1.6
% 0.83/0.92  % Problem     :theBenchmark
% 0.83/0.92  % Transform   :cnf
% 0.83/0.92  % Format      :tptp:raw
% 0.83/0.92  % Command     :java -jar mcs_scs.jar %d %s
% 0.83/0.92  
% 0.83/0.92  % Result      :Theorem 0.300000s
% 0.83/0.92  % Output      :CNFRefutation 0.300000s
% 0.83/0.92  %-------------------------------------------
% 0.83/0.93  %--------------------------------------------------------------------------
% 0.83/0.93  % File     : SYN312-1 : TPTP v8.1.2. Bugfixed v2.0.0.
% 0.83/0.93  % Domain   : Syntactic
% 0.87/0.93  % Problem  : Problem for testing satisfiability
% 0.87/0.93  % Version  : Especial.
% 0.87/0.93  % English  :
% 0.87/0.93  
% 0.87/0.93  % Refs     : [FL+93] Fermuller et al. (1993), Resolution Methods for the De
% 0.87/0.93  % Source   : [FL+93]
% 0.87/0.93  % Names    : H3 [FL+93]
% 0.87/0.93  
% 0.87/0.93  % Status   : Unsatisfiable
% 0.87/0.93  % Rating   : 0.00 v7.4.0, 0.17 v7.3.0, 0.00 v6.1.0, 0.07 v6.0.0, 0.11 v5.5.0, 0.12 v5.4.0, 0.17 v5.3.0, 0.20 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, 0.29 v2.4.0, 0.29 v2.3.0, 0.29 v2.2.1, 0.17 v2.1.0
% 0.87/0.93  % Syntax   : Number of clauses     :    8 (   3 unt;   0 nHn;   8 RR)
% 0.87/0.93  %            Number of literals    :   14 (   0 equ;   7 neg)
% 0.87/0.93  %            Maximal clause size   :    3 (   1 avg)
% 0.87/0.93  %            Maximal term depth    :    3 (   1 avg)
% 0.87/0.93  %            Number of predicates  :    1 (   1 usr;   0 prp; 3-3 aty)
% 0.87/0.93  %            Number of functors    :    6 (   6 usr;   4 con; 0-1 aty)
% 0.87/0.93  %            Number of variables   :   16 (   0 sgn)
% 0.87/0.93  % SPC      : CNF_UNS_RFO_NEQ_HRN
% 0.87/0.93  
% 0.87/0.93  % Comments :
% 0.87/0.93  % Bugfixes : v2.0.0 - clause1 fixed.
% 0.87/0.93  %--------------------------------------------------------------------------
% 0.87/0.93  cnf(clause1,negated_conjecture,
% 0.87/0.93      ( p(X,X3,X2)
% 0.87/0.93      | ~ p(X,X1,X2)
% 0.87/0.93      | ~ p(X1,X3,X2) ) ).
% 0.87/0.93  
% 0.87/0.93  cnf(clause2,negated_conjecture,
% 0.87/0.93      ( p(X2,X1,X)
% 0.87/0.93      | ~ p(X,X1,X2) ) ).
% 0.87/0.93  
% 0.87/0.93  cnf(clause3,negated_conjecture,
% 0.87/0.93      ( p(X1,X,X2)
% 0.87/0.93      | ~ p(X,X1,X2) ) ).
% 0.87/0.93  
% 0.87/0.93  cnf(clause4,negated_conjecture,
% 0.87/0.93      ( p(X,X1,f(X2))
% 0.87/0.93      | ~ p(X,X1,X2) ) ).
% 0.87/0.93  
% 0.87/0.93  cnf(clause5,negated_conjecture,
% 0.87/0.93      ( p(g(X),X1,X2)
% 0.87/0.93      | ~ p(X,X1,X2) ) ).
% 0.87/0.93  
% 0.87/0.93  cnf(clause6,negated_conjecture,
% 0.87/0.93      p(a,f(b),c) ).
% 0.87/0.93  
% 0.87/0.93  cnf(clause7,negated_conjecture,
% 0.87/0.93      p(f(b),d,c) ).
% 0.87/0.93  
% 0.87/0.93  cnf(clause8,negated_conjecture,
% 0.87/0.93      ~ p(f(g(a)),f(g(d)),f(g(c))) ).
% 0.87/0.93  
% 0.87/0.93  %--------------------------------------------------------------------------
% 0.87/0.93  %-------------------------------------------
% 0.87/0.93  % Proof found
% 0.87/0.93  % SZS status Theorem for theBenchmark
% 0.87/0.93  % SZS output start Proof
% 0.87/0.94  %ClaNum:8(EqnAxiom:0)
% 0.87/0.94  %VarNum:33(SingletonVarNum:16)
% 0.87/0.94  %MaxLitNum:3
% 0.87/0.94  %MaxfuncDepth:2
% 0.87/0.94  %SharedTerms:14
% 0.87/0.94  %goalClause: 1 2 3 4 5 6 7 8
% 0.87/0.94  %singleGoalClaCount:3
% 0.87/0.94  [1]P1(a1,f3(a2),a4)
% 0.87/0.94  [2]P1(f3(a2),a5,a4)
% 0.87/0.94  [3]~P1(f3(f6(a1)),f3(f6(a5)),f3(f6(a4)))
% 0.87/0.94  [4]~P1(x43,x42,x41)+P1(x41,x42,x43)
% 0.87/0.94  [5]~P1(x52,x51,x53)+P1(x51,x52,x53)
% 0.87/0.94  [6]~P1(x61,x62,x63)+P1(x61,x62,f3(x63))
% 0.87/0.94  [7]~P1(x71,x72,x73)+P1(f6(x71),x72,x73)
% 0.87/0.94  [8]~P1(x81,x84,x83)+P1(x81,x82,x83)+~P1(x84,x82,x83)
% 0.87/0.94  %EqnAxiom
% 0.87/0.94  
% 0.87/0.94  %-------------------------------------------
% 0.89/0.95  cnf(9,plain,
% 0.89/0.95     (~P1(f3(f6(a5)),f3(f6(a1)),f3(f6(a4)))),
% 0.89/0.95     inference(scs_inference,[],[3,5])).
% 0.89/0.95  cnf(10,plain,
% 0.89/0.95     (~P1(f3(f6(a4)),f3(f6(a5)),f3(f6(a1)))),
% 0.89/0.95     inference(scs_inference,[],[3,5,4])).
% 0.89/0.95  cnf(11,plain,
% 0.89/0.95     (~P1(f3(f6(a1)),f3(f6(a5)),f6(a4))),
% 0.89/0.95     inference(scs_inference,[],[3,5,4,6])).
% 0.89/0.95  cnf(13,plain,
% 0.89/0.95     (P1(a1,a5,a4)),
% 0.89/0.95     inference(scs_inference,[],[1,2,3,5,4,6,8])).
% 0.89/0.95  cnf(15,plain,
% 0.89/0.95     (P1(f6(a1),f3(a2),a4)),
% 0.89/0.95     inference(scs_inference,[],[1,2,3,5,4,6,8,7])).
% 0.89/0.95  cnf(17,plain,
% 0.89/0.95     (P1(a1,f3(a2),f3(a4))),
% 0.89/0.95     inference(scs_inference,[],[1,6])).
% 0.89/0.95  cnf(19,plain,
% 0.89/0.95     (P1(f3(a2),a1,a4)),
% 0.89/0.95     inference(scs_inference,[],[1,6,5])).
% 0.89/0.95  cnf(21,plain,
% 0.89/0.95     (P1(a4,f3(a2),a1)),
% 0.89/0.95     inference(scs_inference,[],[1,6,5,4])).
% 0.89/0.95  cnf(23,plain,
% 0.89/0.95     (P1(f6(a1),a5,a4)),
% 0.89/0.95     inference(scs_inference,[],[1,2,15,6,5,4,8])).
% 0.89/0.95  cnf(25,plain,
% 0.89/0.95     (~P1(f3(f6(a4)),f3(f6(a1)),f3(f6(a5)))),
% 0.89/0.95     inference(scs_inference,[],[9,4])).
% 0.89/0.95  cnf(27,plain,
% 0.89/0.95     (~P1(f3(f6(a5)),f3(f6(a1)),f6(a4))),
% 0.89/0.95     inference(scs_inference,[],[9,4,6])).
% 0.89/0.95  cnf(29,plain,
% 0.89/0.95     (~P1(f3(f6(a5)),f3(f6(a4)),f3(f6(a1)))),
% 0.89/0.95     inference(scs_inference,[],[9,10,4,6,5])).
% 0.89/0.95  cnf(36,plain,
% 0.89/0.95     (P1(f6(f3(a2)),a5,a4)),
% 0.89/0.95     inference(scs_inference,[],[2,7])).
% 0.89/0.95  cnf(38,plain,
% 0.89/0.95     (P1(a4,a5,f3(a2))),
% 0.89/0.95     inference(scs_inference,[],[2,7,4])).
% 0.89/0.95  cnf(40,plain,
% 0.89/0.95     (P1(f3(a2),a5,f3(a4))),
% 0.89/0.95     inference(scs_inference,[],[2,7,4,6])).
% 0.89/0.95  cnf(42,plain,
% 0.89/0.95     (P1(a5,f3(a2),a4)),
% 0.89/0.95     inference(scs_inference,[],[2,7,4,6,5])).
% 0.89/0.95  cnf(44,plain,
% 0.89/0.95     (P1(f6(a1),a1,a4)),
% 0.89/0.95     inference(scs_inference,[],[2,19,15,7,4,6,5,8])).
% 0.89/0.95  cnf(46,plain,
% 0.89/0.95     (~P1(f3(f6(a4)),f3(f6(a5)),f6(a1))),
% 0.89/0.95     inference(scs_inference,[],[10,6])).
% 0.89/0.95  cnf(50,plain,
% 0.89/0.95     (~P1(f3(f6(a5)),f3(f6(a4)),f6(a1))),
% 0.89/0.95     inference(scs_inference,[],[10,29,6,4,5])).
% 0.89/0.95  cnf(52,plain,
% 0.89/0.95     (P1(f6(f3(a2)),f3(a2),a4)),
% 0.89/0.95     inference(scs_inference,[],[10,36,29,42,6,4,5,8])).
% 0.89/0.95  cnf(56,plain,
% 0.89/0.95     (P1(a5,a1,a4)),
% 0.89/0.95     inference(scs_inference,[],[13,6,5])).
% 0.89/0.95  cnf(58,plain,
% 0.89/0.95     (P1(a4,a5,a1)),
% 0.89/0.95     inference(scs_inference,[],[13,6,5,4])).
% 0.89/0.95  cnf(62,plain,
% 0.89/0.95     (P1(f6(f6(a1)),a5,a4)),
% 0.89/0.95     inference(scs_inference,[],[3,13,23,6,5,4,8,7])).
% 0.89/0.95  cnf(64,plain,
% 0.89/0.95     (~P1(f3(f6(a4)),f3(f6(a1)),f6(a5))),
% 0.89/0.95     inference(scs_inference,[],[25,6])).
% 0.89/0.95  cnf(66,plain,
% 0.89/0.95     (~P1(f6(a4),f3(f6(a5)),f3(f6(a1)))),
% 0.89/0.95     inference(scs_inference,[],[11,25,6,4])).
% 0.89/0.95  cnf(68,plain,
% 0.89/0.95     (~P1(f3(f6(a1)),f3(f6(a4)),f6(a5))),
% 0.89/0.95     inference(scs_inference,[],[11,25,6,4,5])).
% 0.89/0.95  cnf(70,plain,
% 0.89/0.95     (P1(f6(f6(a1)),a1,a4)),
% 0.89/0.95     inference(scs_inference,[],[11,25,62,56,6,4,5,8])).
% 0.89/0.95  cnf(72,plain,
% 0.89/0.95     (~P1(a4,f3(f6(a5)),f3(f6(a1)))),
% 0.89/0.95     inference(scs_inference,[],[11,25,62,56,6,4,5,8,7])).
% 0.89/0.95  cnf(74,plain,
% 0.89/0.95     (P1(f6(f6(f3(a2))),f3(a2),a4)),
% 0.89/0.95     inference(scs_inference,[],[52,7])).
% 0.89/0.95  cnf(76,plain,
% 0.89/0.95     (P1(f3(a2),f6(f3(a2)),a4)),
% 0.89/0.95     inference(scs_inference,[],[52,7,5])).
% 0.89/0.95  cnf(78,plain,
% 0.89/0.95     (P1(f6(f3(a2)),f3(a2),f3(a4))),
% 0.89/0.95     inference(scs_inference,[],[52,7,5,6])).
% 0.89/0.95  cnf(84,plain,
% 0.89/0.95     (~P1(a4,f3(f6(a5)),f6(a1))),
% 0.89/0.95     inference(scs_inference,[],[72,6])).
% 0.89/0.95  cnf(88,plain,
% 0.89/0.95     (~P1(f6(a4),f3(f6(a1)),f3(f6(a5)))),
% 0.89/0.95     inference(scs_inference,[],[27,72,6,5,4])).
% 0.89/0.95  cnf(90,plain,
% 0.89/0.95     (~P1(a4,f3(f6(a1)),f3(f6(a5)))),
% 0.89/0.95     inference(scs_inference,[],[27,72,6,5,4,7])).
% 0.89/0.95  cnf(106,plain,
% 0.89/0.95     (~P1(f6(a4),f3(f6(a5)),f6(a1))),
% 0.89/0.95     inference(scs_inference,[],[46,66,4,6])).
% 0.89/0.95  cnf(112,plain,
% 0.89/0.95     (~P1(a1,f3(f6(a5)),f3(f6(a4)))),
% 0.89/0.95     inference(scs_inference,[],[15,46,66,76,4,6,5,8,7])).
% 0.89/0.95  cnf(114,plain,
% 0.89/0.95     (P1(f6(f6(a1)),f3(a2),a4)),
% 0.89/0.95     inference(scs_inference,[],[15,7])).
% 0.89/0.95  cnf(116,plain,
% 0.89/0.95     (P1(a4,f3(a2),f6(a1))),
% 0.89/0.95     inference(scs_inference,[],[15,7,4])).
% 0.89/0.95  cnf(118,plain,
% 0.89/0.95     (P1(f3(a2),f6(a1),a4)),
% 0.89/0.95     inference(scs_inference,[],[15,7,4,5])).
% 0.89/0.95  cnf(120,plain,
% 0.89/0.95     (P1(f6(a1),f3(a2),f3(a4))),
% 0.89/0.95     inference(scs_inference,[],[15,7,4,5,6])).
% 0.89/0.95  cnf(122,plain,
% 0.89/0.95     (~P1(f3(a2),f3(f6(a5)),f6(a1))),
% 0.89/0.95     inference(scs_inference,[],[15,84,7,4,5,6,8])).
% 0.89/0.95  cnf(128,plain,
% 0.89/0.95     (~P1(a4,f3(f6(a1)),f6(a5))),
% 0.89/0.95     inference(scs_inference,[],[50,90,5,4,6])).
% 0.89/0.95  cnf(132,plain,
% 0.89/0.95     (~P1(a1,f3(f6(a4)),f3(f6(a5)))),
% 0.89/0.95     inference(scs_inference,[],[15,50,90,118,5,4,6,8,7])).
% 0.89/0.95  cnf(134,plain,
% 0.89/0.95     (P1(f3(a2),a1,f3(a4))),
% 0.89/0.95     inference(scs_inference,[],[17,5])).
% 0.89/0.95  cnf(136,plain,
% 0.89/0.95     (P1(a1,f3(a2),f3(f3(a4)))),
% 0.89/0.95     inference(scs_inference,[],[17,5,6])).
% 0.89/0.95  cnf(138,plain,
% 0.89/0.95     (P1(f3(a4),f3(a2),a1)),
% 0.89/0.95     inference(scs_inference,[],[17,5,6,4])).
% 0.89/0.95  cnf(140,plain,
% 0.89/0.95     (P1(f6(f6(f3(a2))),f3(a2),f3(a4))),
% 0.89/0.95     inference(scs_inference,[],[17,78,5,6,4,7])).
% 0.89/0.95  cnf(144,plain,
% 0.89/0.95     (~P1(f6(a5),f3(f6(a4)),f3(f6(a1)))),
% 0.89/0.95     inference(scs_inference,[],[68,4])).
% 0.89/0.95  cnf(148,plain,
% 0.89/0.95     (~P1(a1,f3(f6(a5)),f6(a4))),
% 0.89/0.95     inference(scs_inference,[],[68,112,4,5,6])).
% 0.89/0.95  cnf(150,plain,
% 0.89/0.95     (~P1(a5,f3(f6(a4)),f3(f6(a1)))),
% 0.89/0.95     inference(scs_inference,[],[68,112,4,5,6,7])).
% 0.89/0.95  cnf(158,plain,
% 0.89/0.95     (P1(a5,a4,a1)),
% 0.89/0.95     inference(scs_inference,[],[19,58,6,4,5])).
% 0.89/0.95  cnf(162,plain,
% 0.89/0.95     (P1(a5,a5,a1)),
% 0.89/0.95     inference(scs_inference,[],[19,58,6,4,5,7,8])).
% 0.89/0.95  cnf(165,plain,
% 0.89/0.95     (~P1(f3(f6(a5)),f3(a2),f6(a1))),
% 0.89/0.95     inference(scs_inference,[],[122,5])).
% 0.89/0.95  cnf(167,plain,
% 0.89/0.95     (P1(f3(a4),f3(a2),f6(a1))),
% 0.89/0.95     inference(scs_inference,[],[120,122,5,4])).
% 0.89/0.95  cnf(169,plain,
% 0.89/0.95     (~P1(a1,f3(f6(a4)),f6(a5))),
% 0.89/0.95     inference(scs_inference,[],[120,122,132,5,4,6])).
% 0.89/0.95  cnf(171,plain,
% 0.89/0.95     (P1(a1,a1,f3(a4))),
% 0.89/0.95     inference(scs_inference,[],[17,120,122,132,134,5,4,6,8])).
% 0.89/0.95  cnf(175,plain,
% 0.89/0.95     (P1(f3(a2),a4,a1)),
% 0.89/0.95     inference(scs_inference,[],[21,6,5])).
% 0.89/0.95  cnf(179,plain,
% 0.89/0.95     (~P1(f3(f6(a5)),a4,f6(a1))),
% 0.89/0.95     inference(scs_inference,[],[21,150,116,165,6,5,4,8])).
% 0.89/0.95  cnf(181,plain,
% 0.89/0.95     (P1(f6(a4),f3(a2),a1)),
% 0.89/0.95     inference(scs_inference,[],[21,7])).
% 0.89/0.95  cnf(183,plain,
% 0.89/0.95     (P1(a4,a5,f6(a1))),
% 0.89/0.95     inference(scs_inference,[],[23,21,7,4])).
% 0.89/0.95  cnf(185,plain,
% 0.89/0.95     (~P1(f6(a4),f3(f6(a1)),f6(a5))),
% 0.89/0.95     inference(scs_inference,[],[23,21,88,7,4,6])).
% 0.89/0.95  cnf(189,plain,
% 0.89/0.95     (P1(f3(a2),f3(a2),a1)),
% 0.89/0.95     inference(scs_inference,[],[23,21,88,175,7,4,6,5,8])).
% 0.89/0.95  cnf(191,plain,
% 0.89/0.95     (P1(f6(a1),a5,f3(a4))),
% 0.89/0.95     inference(scs_inference,[],[23,6])).
% 0.89/0.95  cnf(195,plain,
% 0.89/0.95     (P1(a5,f6(a1),a4)),
% 0.89/0.95     inference(scs_inference,[],[23,64,6,4,5])).
% 0.89/0.95  cnf(199,plain,
% 0.89/0.95     (~P1(a5,f3(f6(a1)),f3(f6(a4)))),
% 0.89/0.95     inference(scs_inference,[],[23,64,140,40,6,4,5,8,7])).
% 0.89/0.95  cnf(209,plain,
% 0.89/0.95     (~P1(a5,f3(f6(a5)),f6(a1))),
% 0.89/0.95     inference(scs_inference,[],[136,128,199,183,84,7,6,5,4,8])).
% 0.89/0.95  cnf(215,plain,
% 0.89/0.95     (~P1(f6(a1),a4,f3(f6(a5)))),
% 0.89/0.95     inference(scs_inference,[],[181,179,5,6,4])).
% 0.89/0.95  cnf(217,plain,
% 0.89/0.95     (P1(a5,f3(a2),a1)),
% 0.89/0.95     inference(scs_inference,[],[21,181,179,158,5,6,4,8])).
% 0.89/0.95  cnf(219,plain,
% 0.89/0.95     (~P1(a1,a4,f3(f6(a5)))),
% 0.89/0.95     inference(scs_inference,[],[21,181,179,158,5,6,4,8,7])).
% 0.89/0.95  cnf(229,plain,
% 0.89/0.95     (P1(f6(a1),f6(a1),a4)),
% 0.89/0.95     inference(scs_inference,[],[23,70,209,219,195,5,7,4,6,8])).
% 0.89/0.95  cnf(233,plain,
% 0.89/0.95     (P1(f3(a2),f6(f6(a1)),a4)),
% 0.89/0.95     inference(scs_inference,[],[114,106,4,5])).
% 0.89/0.95  cnf(237,plain,
% 0.89/0.95     (~P1(f3(f6(a5)),f3(a4),f6(a1))),
% 0.89/0.95     inference(scs_inference,[],[171,114,106,167,165,4,5,6,8])).
% 0.89/0.95  cnf(239,plain,
% 0.89/0.95     (~P1(f3(f6(a5)),a1,f6(a4))),
% 0.89/0.95     inference(scs_inference,[],[148,5])).
% 0.89/0.95  cnf(241,plain,
% 0.89/0.95     (P1(f3(a4),a5,f6(a1))),
% 0.89/0.95     inference(scs_inference,[],[191,148,5,4])).
% 0.89/0.95  cnf(247,plain,
% 0.89/0.95     (~P1(f6(a1),f3(a4),f3(f6(a5)))),
% 0.89/0.95     inference(scs_inference,[],[237,4])).
% 0.89/0.95  cnf(257,plain,
% 0.89/0.95     (P1(f6(f6(f3(a2))),a5,a4)),
% 0.89/0.95     inference(scs_inference,[],[36,7])).
% 0.89/0.95  cnf(269,plain,
% 0.89/0.95     (~P1(f6(a5),f3(f6(a1)),f6(a4))),
% 0.89/0.95     inference(scs_inference,[],[36,185,5,4])).
% 0.89/0.95  cnf(275,plain,
% 0.89/0.95     (P1(f6(f3(a2)),f3(a2),a1)),
% 0.89/0.95     inference(scs_inference,[],[36,189,185,74,233,5,4,6,8,7])).
% 0.89/0.95  cnf(299,plain,
% 0.89/0.95     (P1(f3(a4),a5,f3(a2))),
% 0.89/0.95     inference(scs_inference,[],[40,38,169,7,5,4])).
% 0.89/0.95  cnf(301,plain,
% 0.89/0.95     (~P1(f6(a5),f3(f6(a4)),f6(a1))),
% 0.89/0.95     inference(scs_inference,[],[40,38,169,144,7,5,4,6])).
% 0.89/0.95  cnf(306,plain,
% 0.89/0.95     (~P1(a5,f3(f6(a4)),f6(a1))),
% 0.89/0.95     inference(scs_inference,[],[301,7])).
% 0.89/0.95  cnf(316,plain,
% 0.89/0.95     (P1(f6(a5),f3(a2),a4)),
% 0.89/0.95     inference(scs_inference,[],[42,7])).
% 0.89/0.95  cnf(342,plain,
% 0.89/0.95     (~P1(a1,f3(a4),f6(a5))),
% 0.89/0.95     inference(scs_inference,[],[44,257,275,247,175,5,4,6,8,7])).
% 0.89/0.95  cnf(346,plain,
% 0.89/0.95     (~P1(f3(f6(a4)),a5,f6(a1))),
% 0.89/0.95     inference(scs_inference,[],[306,162,7,5])).
% 0.89/0.95  cnf(368,plain,
% 0.89/0.95     (~P1(f6(a5),f3(a4),a1)),
% 0.89/0.95     inference(scs_inference,[],[229,269,342,7,5,4])).
% 0.89/0.95  cnf(374,plain,
% 0.89/0.95     (~P1(a5,f3(a4),a1)),
% 0.89/0.95     inference(scs_inference,[],[368,7])).
% 0.89/0.95  cnf(382,plain,
% 0.89/0.95     (~P1(f6(a1),a4,f6(a5))),
% 0.89/0.95     inference(scs_inference,[],[316,215,346,241,368,7,5,4,8,6])).
% 0.89/0.95  cnf(412,plain,
% 0.89/0.95     (~P1(f3(a2),f3(a4),a1)),
% 0.89/0.95     inference(scs_inference,[],[299,239,382,217,374,5,7,4,6,8])).
% 0.89/0.95  cnf(424,plain,
% 0.89/0.95     ($false),
% 0.89/0.95     inference(scs_inference,[],[412,138,5]),
% 0.89/0.95     ['proof']).
% 0.89/0.95  % SZS output end Proof
% 0.89/0.95  % Total time :0.300000s
%------------------------------------------------------------------------------