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CSE---1.7.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE---1.7
% Problem  : KRS010-1 : TPTP v8.2.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n024.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 : Mon Jun 24 10:08:14 EDT 2024

% Result   : Unsatisfiable 2.85s 2.93s
% Output   : CNFRefutation 2.85s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : KRS010-1 : TPTP v8.2.0. Released v2.0.0.
% 0.08/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34  % Computer : n024.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   : Wed Jun 19 12:31:09 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.22/0.57  start to proof:theBenchmark
% 2.85/2.92  %-------------------------------------------
% 2.85/2.92  % File        :CSE---1.7
% 2.85/2.92  % Problem     :theBenchmark
% 2.85/2.92  % Transform   :cnf
% 2.85/2.92  % Format      :tptp:raw
% 2.85/2.92  % Command     :java -jar mcs_scs.jar %d %s
% 2.85/2.92  
% 2.85/2.92  % Result      :Theorem 2.290000s
% 2.85/2.92  % Output      :CNFRefutation 2.290000s
% 2.85/2.92  %-------------------------------------------
% 2.85/2.92  %--------------------------------------------------------------------------
% 2.85/2.92  % File     : KRS010-1 : TPTP v8.2.0. Released v2.0.0.
% 2.85/2.92  % Domain   : Knowledge Representation
% 2.85/2.92  % Problem  : Paramasivam problem T-Box 3d
% 2.85/2.92  % Version  : Especial.
% 2.85/2.92  % English  : f subsumes e.
% 2.85/2.92  
% 2.85/2.92  % Refs     : [PP95]  Paramasivam & Plaisted (1995), Automated Deduction Tec
% 2.85/2.92  % Source   : [PP95]
% 2.85/2.92  % Names    : Problem 3(d) [PP95]
% 2.85/2.92  
% 2.85/2.92  % Status   : Unsatisfiable
% 2.85/2.92  % Rating   : 0.00 v6.3.0, 0.14 v6.2.0, 0.00 v2.5.0, 0.20 v2.4.0, 0.00 v2.1.0
% 2.85/2.92  % Syntax   : Number of clauses     :   31 (   2 unt;  12 nHn;  31 RR)
% 2.85/2.92  %            Number of literals    :   95 (   0 equ;  51 neg)
% 2.85/2.92  %            Maximal clause size   :    7 (   3 avg)
% 2.85/2.92  %            Maximal term depth    :    2 (   1 avg)
% 2.85/2.92  %            Number of predicates  :    8 (   8 usr;   0 prp; 1-2 aty)
% 2.85/2.92  %            Number of functors    :    9 (   9 usr;   1 con; 0-1 aty)
% 2.85/2.92  %            Number of variables   :   37 (   0 sgn)
% 2.85/2.92  % SPC      : CNF_UNS_RFO_NEQ_NHN
% 2.85/2.92  
% 2.85/2.92  % Comments :
% 2.85/2.92  %--------------------------------------------------------------------------
% 2.85/2.92  cnf(clause_1,negated_conjecture,
% 2.85/2.92      e(exist) ).
% 2.85/2.92  
% 2.85/2.92  cnf(clause_2,negated_conjecture,
% 2.85/2.92      ~ f(exist) ).
% 2.85/2.92  
% 2.85/2.92  cnf(clause_3,axiom,
% 2.85/2.92      ( c(X1)
% 2.85/2.92      | d(X1)
% 2.85/2.92      | ~ a(X1) ) ).
% 2.85/2.92  
% 2.85/2.92  cnf(clause_4,axiom,
% 2.85/2.92      ( a(X1)
% 2.85/2.92      | ~ d(X1) ) ).
% 2.85/2.92  
% 2.85/2.92  cnf(clause_5,axiom,
% 2.85/2.92      ( a(X1)
% 2.85/2.92      | ~ c(X1) ) ).
% 2.85/2.92  
% 2.85/2.92  cnf(clause_6,axiom,
% 2.85/2.92      ( equalish(X4,X3)
% 2.85/2.92      | ~ e(X1)
% 2.85/2.92      | ~ r(X1,X4)
% 2.85/2.92      | ~ r(X1,X3)
% 2.85/2.92      | ~ c(X4)
% 2.85/2.92      | ~ c(X3) ) ).
% 2.85/2.92  
% 2.85/2.92  cnf(clause_7,axiom,
% 2.85/2.93      ( r3least(X1)
% 2.85/2.93      | ~ e(X1) ) ).
% 2.85/2.93  
% 2.85/2.93  cnf(clause_8,axiom,
% 2.85/2.93      ( a(X2)
% 2.85/2.93      | ~ e(X1)
% 2.85/2.93      | ~ r(X1,X2) ) ).
% 2.85/2.93  
% 2.85/2.93  cnf(clause_9,axiom,
% 2.85/2.93      ( e(X1)
% 2.85/2.93      | ~ a(u1r1(X1))
% 2.85/2.93      | ~ r3least(X1)
% 2.85/2.93      | ~ equalish(u1r3(X1),u1r2(X1)) ) ).
% 2.85/2.93  
% 2.85/2.93  cnf(clause_10,axiom,
% 2.85/2.93      ( e(X1)
% 2.85/2.93      | c(u1r2(X1))
% 2.85/2.93      | ~ a(u1r1(X1))
% 2.85/2.93      | ~ r3least(X1) ) ).
% 2.85/2.93  
% 2.85/2.93  cnf(clause_11,axiom,
% 2.85/2.93      ( e(X1)
% 2.85/2.93      | c(u1r3(X1))
% 2.85/2.93      | ~ a(u1r1(X1))
% 2.85/2.93      | ~ r3least(X1) ) ).
% 2.85/2.93  
% 2.85/2.93  cnf(clause_12,axiom,
% 2.85/2.93      ( e(X1)
% 2.85/2.93      | r(X1,u1r2(X1))
% 2.85/2.93      | ~ a(u1r1(X1))
% 2.85/2.93      | ~ r3least(X1) ) ).
% 2.85/2.93  
% 2.85/2.93  cnf(clause_13,axiom,
% 2.85/2.93      ( e(X1)
% 2.85/2.93      | r(X1,u1r3(X1))
% 2.85/2.93      | ~ a(u1r1(X1))
% 2.85/2.93      | ~ r3least(X1) ) ).
% 2.85/2.93  
% 2.85/2.93  cnf(clause_14,axiom,
% 2.85/2.93      ( e(X1)
% 2.85/2.93      | r(X1,u1r1(X1))
% 2.85/2.93      | ~ r3least(X1)
% 2.85/2.93      | ~ equalish(u1r3(X1),u1r2(X1)) ) ).
% 2.85/2.93  
% 2.85/2.93  cnf(clause_15,axiom,
% 2.85/2.93      ( e(X1)
% 2.85/2.93      | r(X1,u1r1(X1))
% 2.85/2.93      | c(u1r2(X1))
% 2.85/2.93      | ~ r3least(X1) ) ).
% 2.85/2.93  
% 2.85/2.93  cnf(clause_16,axiom,
% 2.85/2.93      ( e(X1)
% 2.85/2.93      | r(X1,u1r1(X1))
% 2.85/2.93      | c(u1r3(X1))
% 2.85/2.93      | ~ r3least(X1) ) ).
% 2.85/2.93  
% 2.85/2.93  cnf(clause_17,axiom,
% 2.85/2.93      ( e(X1)
% 2.85/2.93      | r(X1,u1r1(X1))
% 2.85/2.93      | r(X1,u1r2(X1))
% 2.85/2.93      | ~ r3least(X1) ) ).
% 2.85/2.93  
% 2.85/2.93  cnf(clause_18,axiom,
% 2.85/2.93      ( e(X1)
% 2.85/2.93      | r(X1,u1r1(X1))
% 2.85/2.93      | r(X1,u1r3(X1))
% 2.85/2.93      | ~ r3least(X1) ) ).
% 2.85/2.93  
% 2.85/2.93  cnf(clause_19,axiom,
% 2.85/2.93      ( ~ r3least(X1)
% 2.85/2.93      | ~ equalish(u2r2(X1),u2r1(X1)) ) ).
% 2.85/2.93  
% 2.85/2.93  cnf(clause_20,axiom,
% 2.85/2.93      ( ~ r3least(X1)
% 2.85/2.93      | ~ equalish(u2r3(X1),u2r1(X1)) ) ).
% 2.85/2.93  
% 2.85/2.93  cnf(clause_21,axiom,
% 2.85/2.93      ( ~ r3least(X1)
% 2.85/2.93      | ~ equalish(u2r3(X1),u2r2(X1)) ) ).
% 2.85/2.93  
% 2.85/2.93  cnf(clause_22,axiom,
% 2.85/2.93      ( r(X1,u2r1(X1))
% 2.85/2.93      | ~ r3least(X1) ) ).
% 2.85/2.93  
% 2.85/2.93  cnf(clause_23,axiom,
% 2.85/2.93      ( r(X1,u2r2(X1))
% 2.85/2.93      | ~ r3least(X1) ) ).
% 2.85/2.93  
% 2.85/2.93  cnf(clause_24,axiom,
% 2.85/2.93      ( r(X1,u2r3(X1))
% 2.85/2.93      | ~ r3least(X1) ) ).
% 2.85/2.93  
% 2.85/2.93  cnf(clause_25,axiom,
% 2.85/2.93      ( r3least(X1)
% 2.85/2.93      | equalish(X4,X3)
% 2.85/2.93      | equalish(X4,X2)
% 2.85/2.93      | equalish(X3,X2)
% 2.85/2.93      | ~ r(X1,X4)
% 2.85/2.93      | ~ r(X1,X3)
% 2.85/2.93      | ~ r(X1,X2) ) ).
% 2.85/2.93  
% 2.85/2.93  cnf(clause_26,axiom,
% 2.85/2.93      ( d(u3r1(X1))
% 2.85/2.93      | ~ f(X1) ) ).
% 2.85/2.93  
% 2.85/2.93  cnf(clause_27,axiom,
% 2.85/2.93      ( d(u3r2(X1))
% 2.85/2.93      | ~ f(X1) ) ).
% 2.85/2.93  
% 2.85/2.93  cnf(clause_28,axiom,
% 2.85/2.93      ( ~ f(X1)
% 2.85/2.93      | ~ equalish(u3r2(X1),u3r1(X1)) ) ).
% 2.85/2.93  
% 2.85/2.93  cnf(clause_29,axiom,
% 2.85/2.93      ( r(X1,u3r1(X1))
% 2.85/2.93      | ~ f(X1) ) ).
% 2.85/2.93  
% 2.85/2.93  cnf(clause_30,axiom,
% 2.85/2.93      ( r(X1,u3r2(X1))
% 2.85/2.93      | ~ f(X1) ) ).
% 2.85/2.93  
% 2.85/2.93  cnf(clause_31,axiom,
% 2.85/2.93      ( f(X1)
% 2.85/2.93      | equalish(X3,X2)
% 2.85/2.93      | ~ r(X1,X3)
% 2.85/2.93      | ~ r(X1,X2)
% 2.85/2.93      | ~ d(X3)
% 2.85/2.93      | ~ d(X2) ) ).
% 2.85/2.93  
% 2.85/2.93  %--------------------------------------------------------------------------
% 2.85/2.93  %-------------------------------------------
% 2.85/2.93  % Proof found
% 2.85/2.93  % SZS status Theorem for theBenchmark
% 2.85/2.93  % SZS output start Proof
% 2.85/2.93  %ClaNum:31(EqnAxiom:0)
% 2.85/2.93  %VarNum:126(SingletonVarNum:37)
% 2.85/2.93  %MaxLitNum:7
% 2.85/2.93  %MaxfuncDepth:1
% 2.85/2.93  %SharedTerms:3
% 2.85/2.93  %goalClause: 1 2
% 2.85/2.93  %singleGoalClaCount:2
% 2.85/2.93  [1]P1(a1)
% 2.85/2.93  [2]~P5(a1)
% 2.85/2.93  [3]~P3(x31)+P2(x31)
% 2.85/2.93  [4]~P4(x41)+P2(x41)
% 2.85/2.93  [5]~P1(x51)+P7(x51)
% 2.85/2.93  [7]~P5(x71)+P4(f2(x71))
% 2.85/2.93  [8]~P5(x81)+P4(f9(x81))
% 2.85/2.93  [9]~P7(x91)+P8(x91,f3(x91))
% 2.85/2.93  [10]~P7(x101)+P8(x101,f4(x101))
% 2.85/2.93  [11]~P7(x111)+P8(x111,f8(x111))
% 2.85/2.93  [12]~P5(x121)+P8(x121,f2(x121))
% 2.85/2.93  [13]~P5(x131)+P8(x131,f9(x131))
% 2.85/2.93  [21]~P5(x211)+~P6(f9(x211),f2(x211))
% 2.85/2.93  [22]~P7(x221)+~P6(f3(x221),f4(x221))
% 2.85/2.93  [23]~P7(x231)+~P6(f8(x231),f3(x231))
% 2.85/2.93  [24]~P7(x241)+~P6(f8(x241),f4(x241))
% 2.85/2.93  [6]P4(x61)+~P2(x61)+P3(x61)
% 2.85/2.93  [14]~P8(x142,x141)+P2(x141)+~P1(x142)
% 2.85/2.93  [15]~P7(x151)+P1(x151)+P3(f5(x151))+~P2(f6(x151))
% 2.85/2.93  [16]~P7(x161)+P1(x161)+P3(f7(x161))+~P2(f6(x161))
% 2.85/2.93  [17]~P7(x171)+P1(x171)+P8(x171,f6(x171))+P3(f5(x171))
% 2.85/2.93  [18]~P7(x181)+P1(x181)+P8(x181,f6(x181))+P3(f7(x181))
% 2.85/2.93  [19]~P7(x191)+P1(x191)+P8(x191,f5(x191))+~P2(f6(x191))
% 2.85/2.93  [20]~P7(x201)+P1(x201)+P8(x201,f7(x201))+~P2(f6(x201))
% 2.85/2.93  [25]~P7(x251)+P1(x251)+P8(x251,f6(x251))+P8(x251,f5(x251))
% 2.85/2.93  [26]~P7(x261)+P1(x261)+P8(x261,f6(x261))+P8(x261,f7(x261))
% 2.85/2.93  [27]~P7(x271)+P1(x271)+~P6(f5(x271),f7(x271))+~P2(f6(x271))
% 2.85/2.93  [28]~P7(x281)+P1(x281)+P8(x281,f6(x281))+~P6(f5(x281),f7(x281))
% 2.85/2.93  [29]~P4(x293)+~P4(x292)+~P8(x291,x293)+~P8(x291,x292)+P5(x291)+P6(x292,x293)
% 2.85/2.93  [30]~P3(x302)+~P3(x301)+~P8(x303,x302)+~P8(x303,x301)+P6(x301,x302)+~P1(x303)
% 2.85/2.93  [31]P6(x314,x312)+~P8(x311,x313)+~P8(x311,x312)+~P8(x311,x314)+P7(x311)+P6(x312,x313)+P6(x314,x313)
% 2.85/2.93  %EqnAxiom
% 2.85/2.93  
% 2.85/2.93  %-------------------------------------------
% 2.85/2.94  cnf(34,plain,
% 2.85/2.94     (P8(a1,f3(a1))),
% 2.85/2.94     inference(scs_inference,[],[1,5,9])).
% 2.85/2.94  cnf(67,plain,
% 2.85/2.94     (P8(a1,f4(a1))),
% 2.85/2.94     inference(scs_inference,[],[1,10,5])).
% 2.85/2.94  cnf(74,plain,
% 2.85/2.94     (P8(a1,f8(a1))),
% 2.85/2.94     inference(scs_inference,[],[1,11,5])).
% 2.85/2.94  cnf(99,plain,
% 2.85/2.94     (~P6(f3(a1),f4(a1))),
% 2.85/2.94     inference(scs_inference,[],[1,22,5])).
% 2.85/2.94  cnf(100,plain,
% 2.85/2.94     (~P4(f4(a1))+~P4(f3(a1))),
% 2.85/2.94     inference(scs_inference,[],[2,99,67,34,29])).
% 2.85/2.94  cnf(107,plain,
% 2.85/2.94     (~P3(f4(a1))+~P3(f3(a1))),
% 2.85/2.94     inference(scs_inference,[],[1,99,67,34,30])).
% 2.85/2.94  cnf(120,plain,
% 2.85/2.94     (~P6(f8(a1),f3(a1))),
% 2.85/2.94     inference(scs_inference,[],[1,23,5])).
% 2.85/2.94  cnf(121,plain,
% 2.85/2.94     (~P4(f3(a1))+~P4(f8(a1))),
% 2.85/2.94     inference(scs_inference,[],[2,34,120,74,29])).
% 2.85/2.94  cnf(127,plain,
% 2.85/2.94     (~P2(f3(a1))+P3(f3(a1))+~P4(f8(a1))),
% 2.85/2.94     inference(scs_inference,[],[121,6])).
% 2.85/2.94  cnf(128,plain,
% 2.85/2.94     (~P3(f3(a1))+~P3(f8(a1))),
% 2.85/2.94     inference(scs_inference,[],[1,34,120,74,30])).
% 2.85/2.94  cnf(141,plain,
% 2.85/2.94     (~P6(f8(a1),f4(a1))),
% 2.85/2.94     inference(scs_inference,[],[1,24,5])).
% 2.85/2.94  cnf(144,plain,
% 2.85/2.94     (~P3(f4(a1))+~P3(f8(a1))),
% 2.85/2.94     inference(scs_inference,[],[2,1,74,141,67,29,30])).
% 2.85/2.94  cnf(174,plain,
% 2.85/2.94     (P3(f3(a1))+~P8(a1,f3(a1))+P4(f3(a1))),
% 2.85/2.94     inference(scs_inference,[],[1,34,14,6])).
% 2.85/2.94  cnf(175,plain,
% 2.85/2.94     (P3(f3(a1))+P4(f3(a1))),
% 2.85/2.94     inference(scs_inference,[],[34,174])).
% 2.85/2.94  cnf(178,plain,
% 2.85/2.94     (~P3(f8(a1))+P4(f3(a1))),
% 2.85/2.94     inference(scs_inference,[],[1,34,99,67,174,30,128])).
% 2.85/2.94  cnf(181,plain,
% 2.85/2.94     (P2(f3(a1))+P4(f3(a1))),
% 2.85/2.94     inference(scs_inference,[],[175,3])).
% 2.85/2.94  cnf(351,plain,
% 2.85/2.94     (~P2(f8(a1))+P4(f8(a1))+P4(f3(a1))),
% 2.85/2.94     inference(scs_inference,[],[178,6])).
% 2.85/2.94  cnf(442,plain,
% 2.85/2.94     (P2(f3(a1))),
% 2.85/2.94     inference(scs_inference,[],[181,4])).
% 2.85/2.94  cnf(443,plain,
% 2.85/2.94     (P3(f3(a1))+~P4(f8(a1))),
% 2.85/2.94     inference(scs_inference,[],[442,127])).
% 2.85/2.94  cnf(523,plain,
% 2.85/2.94     (~P4(f8(a1))+~P3(f4(a1))),
% 2.85/2.94     inference(scs_inference,[],[443,107])).
% 2.85/2.94  cnf(705,plain,
% 2.85/2.94     (~P2(f8(a1))+P3(f8(a1))+~P3(f4(a1))),
% 2.85/2.94     inference(scs_inference,[],[523,6])).
% 2.85/2.94  cnf(1158,plain,
% 2.85/2.94     (P4(f8(a1))+P4(f3(a1))),
% 2.85/2.94     inference(scs_inference,[],[1,74,351,14])).
% 2.85/2.94  cnf(1249,plain,
% 2.85/2.94     (P4(f8(a1))+~P4(f4(a1))),
% 2.85/2.94     inference(scs_inference,[],[1158,100])).
% 2.85/2.94  cnf(1340,plain,
% 2.85/2.94     (~P2(f4(a1))+P3(f4(a1))+P4(f8(a1))),
% 2.85/2.94     inference(scs_inference,[],[1249,6])).
% 2.85/2.94  cnf(1612,plain,
% 2.85/2.94     (P3(f8(a1))+~P3(f4(a1))),
% 2.85/2.94     inference(scs_inference,[],[1,74,705,14])).
% 2.85/2.94  cnf(1703,plain,
% 2.85/2.94     (P2(f8(a1))+~P3(f4(a1))),
% 2.85/2.94     inference(scs_inference,[],[1612,3])).
% 2.85/2.94  cnf(1794,plain,
% 2.85/2.94     (~P2(f4(a1))+P4(f4(a1))+P2(f8(a1))),
% 2.85/2.94     inference(scs_inference,[],[1703,6])).
% 2.85/2.94  cnf(1885,plain,
% 2.85/2.94     (P3(f4(a1))+P4(f8(a1))),
% 2.85/2.94     inference(scs_inference,[],[1,67,1340,14])).
% 2.85/2.94  cnf(1976,plain,
% 2.85/2.94     (P4(f8(a1))+~P3(f3(a1))),
% 2.85/2.94     inference(scs_inference,[],[1885,107])).
% 2.85/2.94  cnf(2067,plain,
% 2.85/2.94     (P2(f8(a1))+~P3(f3(a1))),
% 2.85/2.94     inference(scs_inference,[],[1976,4])).
% 2.85/2.94  cnf(2158,plain,
% 2.85/2.94     (P2(f8(a1))+P4(f3(a1))),
% 2.85/2.94     inference(scs_inference,[],[2067,175])).
% 2.85/2.94  cnf(2249,plain,
% 2.85/2.94     (P2(f8(a1))+~P4(f4(a1))),
% 2.85/2.94     inference(scs_inference,[],[2158,100])).
% 2.85/2.94  cnf(2340,plain,
% 2.85/2.94     (~P2(f4(a1))+P2(f8(a1))),
% 2.85/2.94     inference(scs_inference,[],[2249,1794])).
% 2.85/2.94  cnf(2431,plain,
% 2.85/2.94     (P2(f8(a1))),
% 2.85/2.94     inference(scs_inference,[],[1,67,2340,14])).
% 2.85/2.94  cnf(2434,plain,
% 2.85/2.94     (P3(f8(a1))+~P4(f4(a1))),
% 2.85/2.94     inference(scs_inference,[],[74,2,2431,141,67,6,29])).
% 2.85/2.94  cnf(2612,plain,
% 2.85/2.94     (~P4(f4(a1))+~P3(f3(a1))),
% 2.85/2.94     inference(scs_inference,[],[2434,128])).
% 2.85/2.94  cnf(2794,plain,
% 2.85/2.94     (~P2(f4(a1))+P3(f4(a1))+~P3(f3(a1))),
% 2.85/2.94     inference(scs_inference,[],[2612,6])).
% 2.85/2.94  cnf(3340,plain,
% 2.85/2.94     (P3(f4(a1))+~P3(f3(a1))),
% 2.85/2.94     inference(scs_inference,[],[1,67,2794,14])).
% 2.85/2.94  cnf(4603,plain,
% 2.85/2.94     (P2(f4(a1))+P4(f8(a1))),
% 2.85/2.94     inference(scs_inference,[],[3,1885])).
% 2.85/2.94  cnf(4694,plain,
% 2.85/2.94     (P2(f4(a1))+~P4(f3(a1))),
% 2.85/2.94     inference(scs_inference,[],[4603,121])).
% 2.85/2.94  cnf(4785,plain,
% 2.85/2.94     (P3(f4(a1))+P4(f4(a1))+~P4(f3(a1))),
% 2.85/2.95     inference(scs_inference,[],[4694,6])).
% 2.85/2.95  cnf(4876,plain,
% 2.85/2.95     (P4(f4(a1))+~P4(f3(a1))+~P3(f8(a1))),
% 2.85/2.95     inference(scs_inference,[],[4785,144])).
% 2.85/2.95  cnf(4967,plain,
% 2.85/2.95     (~P3(f8(a1))+~P4(f3(a1))),
% 2.85/2.95     inference(scs_inference,[],[4876,100])).
% 2.85/2.95  cnf(5058,plain,
% 2.85/2.95     (~P3(f8(a1))+P3(f3(a1))),
% 2.85/2.95     inference(scs_inference,[],[4967,175])).
% 2.85/2.95  cnf(5149,plain,
% 2.85/2.95     (P3(f3(a1))+~P3(f4(a1))),
% 2.85/2.95     inference(scs_inference,[],[5058,1612])).
% 2.85/2.95  cnf(5240,plain,
% 2.85/2.95     (~P3(f4(a1))),
% 2.85/2.95     inference(scs_inference,[],[5149,107])).
% 2.85/2.95  cnf(5243,plain,
% 2.85/2.95     (P4(f8(a1))),
% 2.85/2.95     inference(scs_inference,[],[5240,1885])).
% 2.85/2.95  cnf(5244,plain,
% 2.85/2.95     (~P3(f3(a1))),
% 2.85/2.95     inference(scs_inference,[],[5240,3340])).
% 2.85/2.95  cnf(5258,plain,
% 2.85/2.95     ($false),
% 2.85/2.95     inference(scs_inference,[],[5244,5243,443]),
% 2.85/2.95     ['proof']).
% 2.85/2.95  % SZS output end Proof
% 2.85/2.95  % Total time :2.290000s
%------------------------------------------------------------------------------