TSTP Solution File: PUZ007-1 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : PUZ007-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d

% Computer : n005.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 13:10:51 EDT 2023

% Result   : Unsatisfiable 11.24s 11.32s
% Output   : CNFRefutation 11.24s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : PUZ007-1 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.14  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35  % Computer : n005.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Sat Aug 26 22:00:08 EDT 2023
% 0.20/0.35  % CPUTime    : 
% 0.20/0.57  start to proof:theBenchmark
% 11.24/11.31  %-------------------------------------------
% 11.24/11.31  % File        :CSE---1.6
% 11.24/11.31  % Problem     :theBenchmark
% 11.24/11.31  % Transform   :cnf
% 11.24/11.31  % Format      :tptp:raw
% 11.24/11.31  % Command     :java -jar mcs_scs.jar %d %s
% 11.24/11.31  
% 11.24/11.31  % Result      :Theorem 10.690000s
% 11.24/11.31  % Output      :CNFRefutation 10.690000s
% 11.24/11.31  %-------------------------------------------
% 11.24/11.31  %--------------------------------------------------------------------------
% 11.24/11.31  % File     : PUZ007-1 : TPTP v8.1.2. Released v1.0.0.
% 11.24/11.31  % Domain   : Puzzles
% 11.24/11.31  % Problem  : Mixed couples on Mars and Venus
% 11.24/11.31  % Version  : Especial.
% 11.24/11.31  % English  : Here's the situation: human observers in this exclusive club
% 11.24/11.31  %            on Ganymede can't distinguish Martians from Venusians, males
% 11.24/11.31  %            from females, except for the fact that Venusian women and
% 11.24/11.31  %            Martian men always tell the truth and Venusian men and
% 11.24/11.31  %            Martian women always lie.
% 11.24/11.31  %            A says "I'm from Mars" B exclaims "That's not true!" A and
% 11.24/11.31  %            B are married; are they a mixed couple?
% 11.24/11.31  
% 11.24/11.31  % Refs     :
% 11.24/11.31  % Source   : [ANL]
% 11.24/11.31  % Names    : mars_venus2.in [ANL]
% 11.24/11.31  
% 11.24/11.31  % Status   : Unsatisfiable
% 11.24/11.31  % Rating   : 0.10 v8.1.0, 0.00 v7.5.0, 0.05 v7.4.0, 0.06 v7.3.0, 0.08 v7.1.0, 0.00 v7.0.0, 0.07 v6.4.0, 0.00 v6.2.0, 0.10 v6.1.0, 0.07 v6.0.0, 0.10 v5.4.0, 0.15 v5.3.0, 0.11 v5.2.0, 0.12 v5.1.0, 0.06 v5.0.0, 0.00 v3.3.0, 0.07 v3.2.0, 0.00 v2.0.0
% 11.24/11.31  % Syntax   : Number of clauses     :   28 (   4 unt;   7 nHn;  24 RR)
% 11.24/11.31  %            Number of literals    :   59 (   3 equ;  29 neg)
% 11.24/11.31  %            Maximal clause size   :    3 (   2 avg)
% 11.24/11.31  %            Maximal term depth    :    2 (   1 avg)
% 11.24/11.31  %            Number of predicates  :    9 (   8 usr;   0 prp; 1-2 aty)
% 11.24/11.31  %            Number of functors    :    5 (   5 usr;   4 con; 0-1 aty)
% 11.24/11.31  %            Number of variables   :   20 (   1 sgn)
% 11.24/11.31  % SPC      : CNF_UNS_RFO_SEQ_NHN
% 11.24/11.31  
% 11.24/11.31  % Comments :
% 11.24/11.31  %--------------------------------------------------------------------------
% 11.24/11.31  %----Include Mars and Venus axioms
% 11.24/11.31  include('Axioms/PUZ001-0.ax').
% 11.24/11.31  %--------------------------------------------------------------------------
% 11.24/11.31  cnf(a_says_hes_from_mars,hypothesis,
% 11.24/11.31      says(a,a_from_mars) ).
% 11.24/11.31  
% 11.24/11.31  cnf(b_says_a_lies,hypothesis,
% 11.24/11.31      says(b,a_has_lied) ).
% 11.24/11.31  
% 11.24/11.31  cnf(a_from_mars1,hypothesis,
% 11.24/11.31      ( ~ from_mars(a)
% 11.24/11.31      | a_truth(a_from_mars) ) ).
% 11.24/11.31  
% 11.24/11.31  cnf(a_from_mars2,hypothesis,
% 11.24/11.31      ( from_mars(a)
% 11.24/11.31      | ~ a_truth(a_from_mars) ) ).
% 11.24/11.31  
% 11.24/11.31  cnf(a_from_mars3,hypothesis,
% 11.24/11.32      ( ~ a_truth(a_from_mars)
% 11.24/11.32      | ~ a_truth(statement_by(b)) ) ).
% 11.24/11.32  
% 11.24/11.32  cnf(a_states,hypothesis,
% 11.24/11.32      statement_by(a) = a_from_mars ).
% 11.24/11.32  
% 11.24/11.32  cnf(b_states,hypothesis,
% 11.24/11.32      statement_by(b) = a_has_lied ).
% 11.24/11.32  
% 11.24/11.32  cnf(truth_of_bs_statement,hypothesis,
% 11.24/11.32      ( a_truth(a_from_mars)
% 11.24/11.32      | a_truth(statement_by(b)) ) ).
% 11.24/11.32  
% 11.24/11.32  cnf(different_sex1,hypothesis,
% 11.24/11.32      ( ~ female(a)
% 11.24/11.32      | male(b) ) ).
% 11.24/11.32  
% 11.24/11.32  cnf(different_sex2,hypothesis,
% 11.24/11.32      ( ~ male(a)
% 11.24/11.32      | female(b) ) ).
% 11.24/11.32  
% 11.24/11.32  %----Conclude that they are NOT a mixed couple.
% 11.24/11.32  %----Denial of the conclusion: either M(A) & V(B) or V(A) & M(B)
% 11.24/11.32  cnf(one_from_mars,negated_conjecture,
% 11.24/11.32      ( from_mars(b)
% 11.24/11.32      | from_mars(a) ) ).
% 11.24/11.32  
% 11.24/11.32  cnf(one_from_venus,negated_conjecture,
% 11.24/11.32      ( from_venus(a)
% 11.24/11.32      | from_venus(b) ) ).
% 11.24/11.32  
% 11.24/11.32  %----Two clauses deleted due to tautology: M(A) | V(A), V(B) | M(B)
% 11.24/11.32  %--------------------------------------------------------------------------
% 11.24/11.32  %-------------------------------------------
% 11.24/11.32  % Proof found
% 11.24/11.32  % SZS status Theorem for theBenchmark
% 11.24/11.32  % SZS output start Proof
% 11.24/11.32  %ClaNum:40(EqnAxiom:13)
% 11.24/11.32  %VarNum:40(SingletonVarNum:18)
% 11.24/11.32  %MaxLitNum:3
% 11.24/11.32  %MaxfuncDepth:1
% 11.24/11.32  %SharedTerms:23
% 11.24/11.32  %goalClause: 18 19
% 11.24/11.32  [16]P1(a1,a3)
% 11.24/11.32  [17]P1(a4,a5)
% 11.24/11.32  [14]E(f2(a1),a3)
% 11.24/11.32  [15]E(f2(a4),a5)
% 11.24/11.32  [18]P2(a1)+P2(a4)
% 11.24/11.32  [19]P5(a1)+P5(a4)
% 11.24/11.32  [20]P2(a1)+~P3(a3)
% 11.24/11.32  [21]P6(a4)+~P4(a1)
% 11.24/11.32  [22]P4(a4)+~P6(a1)
% 11.24/11.32  [23]P3(a3)+~P2(a1)
% 11.24/11.32  [27]P3(a3)+P3(f2(a4))
% 11.24/11.32  [32]~P3(a3)+~P3(f2(a4))
% 11.24/11.32  [24]P5(x241)+P2(x241)
% 11.24/11.32  [25]P4(x251)+P6(x251)
% 11.24/11.32  [26]P7(x261)+P8(x261)
% 11.24/11.32  [28]~P5(x281)+~P2(x281)
% 11.24/11.32  [29]~P4(x291)+~P6(x291)
% 11.24/11.32  [30]~P7(x301)+~P8(x301)
% 11.24/11.32  [31]P7(x311)+P3(f2(x311))
% 11.24/11.32  [37]P8(x371)+~P3(f2(x371))
% 11.24/11.32  [38]~P1(x382,x381)+E(x381,f2(x382))
% 11.24/11.32  [33]~P2(x331)+~P6(x331)+P8(x331)
% 11.24/11.32  [34]~P5(x341)+~P4(x341)+P8(x341)
% 11.24/11.32  [35]~P2(x351)+~P4(x351)+P7(x351)
% 11.24/11.32  [36]~P5(x361)+~P6(x361)+P7(x361)
% 11.24/11.32  [39]~P1(x392,x391)+P3(x391)+~P8(x392)
% 11.24/11.32  [40]~P1(x401,x402)+~P7(x401)+~P3(x402)
% 11.24/11.32  %EqnAxiom
% 11.24/11.32  [1]E(x11,x11)
% 11.24/11.32  [2]E(x22,x21)+~E(x21,x22)
% 11.24/11.32  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 11.24/11.32  [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 11.24/11.32  [5]P1(x52,x53)+~E(x51,x52)+~P1(x51,x53)
% 11.24/11.32  [6]P1(x63,x62)+~E(x61,x62)+~P1(x63,x61)
% 11.24/11.32  [7]~P3(x71)+P3(x72)+~E(x71,x72)
% 11.24/11.32  [8]~P2(x81)+P2(x82)+~E(x81,x82)
% 11.24/11.32  [9]~P7(x91)+P7(x92)+~E(x91,x92)
% 11.24/11.32  [10]~P5(x101)+P5(x102)+~E(x101,x102)
% 11.24/11.32  [11]~P8(x111)+P8(x112)+~E(x111,x112)
% 11.24/11.32  [12]~P4(x121)+P4(x122)+~E(x121,x122)
% 11.24/11.32  [13]~P6(x131)+P6(x132)+~E(x131,x132)
% 11.24/11.32  
% 11.24/11.32  %-------------------------------------------
% 11.24/11.32  cnf(41,plain,
% 11.24/11.32     (E(a3,f2(a1))),
% 11.24/11.32     inference(scs_inference,[],[14,2])).
% 11.24/11.32  cnf(42,plain,
% 11.24/11.32     (P1(a1,f2(a1))),
% 11.24/11.32     inference(scs_inference,[],[14,16,2,6])).
% 11.24/11.32  cnf(43,plain,
% 11.24/11.32     (E(a5,f2(a4))),
% 11.24/11.32     inference(scs_inference,[],[14,16,17,2,6,38])).
% 11.24/11.32  cnf(48,plain,
% 11.24/11.32     (~P3(a3)+~P7(a1)),
% 11.24/11.32     inference(scs_inference,[],[14,16,17,2,6,38,4,5,3,40])).
% 11.24/11.32  cnf(50,plain,
% 11.24/11.32     (~P8(a4)+P3(a5)),
% 11.24/11.32     inference(scs_inference,[],[14,16,17,2,6,38,4,5,3,40,39])).
% 11.24/11.32  cnf(61,plain,
% 11.24/11.32     (~P2(a4)+P5(a1)),
% 11.24/11.32     inference(scs_inference,[],[19,28])).
% 11.24/11.32  cnf(62,plain,
% 11.24/11.32     (P1(a4,f2(a4))),
% 11.24/11.32     inference(scs_inference,[],[17,43,6])).
% 11.24/11.32  cnf(66,plain,
% 11.24/11.32     (P2(a1)+P3(f2(a4))),
% 11.24/11.32     inference(scs_inference,[],[20,27])).
% 11.24/11.32  cnf(74,plain,
% 11.24/11.32     (~P3(a5)+~P7(a4)),
% 11.24/11.32     inference(scs_inference,[],[17,40])).
% 11.24/11.32  cnf(76,plain,
% 11.24/11.32     (~P8(a1)+P3(f2(a1))),
% 11.24/11.32     inference(scs_inference,[],[17,42,40,39])).
% 11.24/11.32  cnf(89,plain,
% 11.24/11.32     (~P2(a1)+~P2(a4)),
% 11.24/11.32     inference(scs_inference,[],[61,28])).
% 11.24/11.32  cnf(90,plain,
% 11.24/11.32     (~P3(f2(a4))+~P7(a4)),
% 11.24/11.32     inference(scs_inference,[],[62,40])).
% 11.24/11.32  cnf(92,plain,
% 11.24/11.32     (~P8(a1)+P3(a3)),
% 11.24/11.32     inference(scs_inference,[],[62,16,40,39])).
% 11.24/11.32  cnf(98,plain,
% 11.24/11.32     (~P3(a5)+P3(f2(a4))),
% 11.24/11.32     inference(scs_inference,[],[74,31])).
% 11.24/11.32  cnf(111,plain,
% 11.24/11.32     (~P7(a1)+~P3(f2(a1))),
% 11.24/11.32     inference(scs_inference,[],[42,40])).
% 11.24/11.32  cnf(115,plain,
% 11.24/11.32     (~P8(a4)+P3(f2(a4))),
% 11.24/11.32     inference(scs_inference,[],[62,39])).
% 11.24/11.32  cnf(119,plain,
% 11.24/11.32     (P3(a3)+~P3(f2(a1))),
% 11.24/11.32     inference(scs_inference,[],[92,37])).
% 11.24/11.32  cnf(129,plain,
% 11.24/11.32     (~P2(a1)+~P3(f2(a4))),
% 11.24/11.32     inference(scs_inference,[],[32,23])).
% 11.24/11.32  cnf(130,plain,
% 11.24/11.32     (~P5(a1)+P3(f2(a4))),
% 11.24/11.32     inference(scs_inference,[],[66,28])).
% 11.24/11.32  cnf(147,plain,
% 11.24/11.32     (P7(a1)+P3(a3)),
% 11.24/11.32     inference(scs_inference,[],[119,31])).
% 11.24/11.32  cnf(149,plain,
% 11.24/11.32     (P7(a1)+P2(a1)),
% 11.24/11.32     inference(scs_inference,[],[147,20])).
% 11.24/11.32  cnf(150,plain,
% 11.24/11.32     (P7(a1)+~P2(a4)),
% 11.24/11.32     inference(scs_inference,[],[149,89])).
% 11.24/11.32  cnf(151,plain,
% 11.24/11.32     (P5(a4)+P7(a1)),
% 11.24/11.32     inference(scs_inference,[],[150,24])).
% 11.24/11.32  cnf(165,plain,
% 11.24/11.32     (P2(a4)+~P3(f2(a4))),
% 11.24/11.32     inference(scs_inference,[],[129,18])).
% 11.24/11.32  cnf(197,plain,
% 11.24/11.32     (P5(a1)+~P3(f2(a4))),
% 11.24/11.32     inference(scs_inference,[],[165,61])).
% 11.24/11.32  cnf(202,plain,
% 11.24/11.32     (~P3(a3)+P3(f2(a1))),
% 11.24/11.32     inference(scs_inference,[],[41,7])).
% 11.24/11.32  cnf(239,plain,
% 11.24/11.32     (P8(a1)+~P3(a3)),
% 11.24/11.32     inference(scs_inference,[],[202,37])).
% 11.24/11.32  cnf(240,plain,
% 11.24/11.32     (P8(a1)+P3(f2(a4))),
% 11.24/11.32     inference(scs_inference,[],[239,27])).
% 11.24/11.32  cnf(248,plain,
% 11.24/11.32     (P3(f2(a1))+P3(f2(a4))),
% 11.24/11.32     inference(scs_inference,[],[240,76])).
% 11.24/11.32  cnf(268,plain,
% 11.24/11.32     (P8(a4)+P3(f2(a1))),
% 11.24/11.32     inference(scs_inference,[],[248,37])).
% 11.24/11.32  cnf(269,plain,
% 11.24/11.32     (P8(a4)+~P7(a1)),
% 11.24/11.32     inference(scs_inference,[],[268,111])).
% 11.24/11.32  cnf(270,plain,
% 11.24/11.33     (P8(a1)+P8(a4)),
% 11.24/11.33     inference(scs_inference,[],[269,26])).
% 11.24/11.33  cnf(271,plain,
% 11.24/11.33     (~P7(a4)+P8(a1)),
% 11.24/11.33     inference(scs_inference,[],[270,30])).
% 11.24/11.33  cnf(273,plain,
% 11.24/11.33     (P3(f2(a1))+~P7(a4)),
% 11.24/11.33     inference(scs_inference,[],[271,76])).
% 11.24/11.33  cnf(274,plain,
% 11.24/11.33     (~P7(a4)+P3(a3)),
% 11.24/11.33     inference(scs_inference,[],[273,119])).
% 11.24/11.33  cnf(275,plain,
% 11.24/11.33     (~P7(a4)+P2(a1)),
% 11.24/11.33     inference(scs_inference,[],[274,20])).
% 11.24/11.33  cnf(276,plain,
% 11.24/11.33     (~P5(a1)+~P7(a4)),
% 11.24/11.33     inference(scs_inference,[],[275,28])).
% 11.24/11.33  cnf(375,plain,
% 11.24/11.33     (P7(a4)+~P2(a4)+~P6(a1)),
% 11.24/11.33     inference(scs_inference,[],[35,22])).
% 11.24/11.33  cnf(377,plain,
% 11.24/11.33     (~P2(a4)+~P6(a1)+~P3(a5)),
% 11.24/11.33     inference(scs_inference,[],[375,74])).
% 11.24/11.33  cnf(379,plain,
% 11.24/11.33     (~P6(a1)+~P3(a5)+P2(a1)),
% 11.24/11.33     inference(scs_inference,[],[377,18])).
% 11.24/11.33  cnf(382,plain,
% 11.24/11.33     (P4(a1)+~P3(a5)+P2(a1)),
% 11.24/11.33     inference(scs_inference,[],[379,25])).
% 11.24/11.33  cnf(383,plain,
% 11.24/11.33     (~P3(a5)+P4(a1)+P3(a3)),
% 11.24/11.33     inference(scs_inference,[],[382,23])).
% 11.24/11.33  cnf(384,plain,
% 11.24/11.33     (P4(a1)+~P3(a5)+~P3(f2(a4))),
% 11.24/11.33     inference(scs_inference,[],[383,32])).
% 11.24/11.33  cnf(388,plain,
% 11.24/11.33     (~P6(a1)+~P3(a5)+~P3(f2(a4))),
% 11.24/11.33     inference(scs_inference,[],[384,29])).
% 11.24/11.33  cnf(389,plain,
% 11.24/11.33     (~P6(a1)+~P8(a4)+~P3(f2(a4))),
% 11.24/11.33     inference(scs_inference,[],[388,50])).
% 11.24/11.33  cnf(390,plain,
% 11.24/11.33     (P7(a4)+~P6(a1)+~P3(f2(a4))),
% 11.24/11.33     inference(scs_inference,[],[389,26])).
% 11.24/11.33  cnf(391,plain,
% 11.24/11.33     (P4(a1)+P7(a4)+~P3(f2(a4))),
% 11.24/11.33     inference(scs_inference,[],[390,25])).
% 11.24/11.33  cnf(392,plain,
% 11.24/11.33     (P4(a1)+~P3(f2(a4))),
% 11.24/11.33     inference(scs_inference,[],[391,90])).
% 11.24/11.33  cnf(890,plain,
% 11.24/11.33     (~P5(a4)+P2(a1)),
% 11.24/11.33     inference(scs_inference,[],[18,28])).
% 11.24/11.33  cnf(891,plain,
% 11.24/11.33     (~P5(a4)+P3(a3)),
% 11.24/11.33     inference(scs_inference,[],[890,23])).
% 11.24/11.33  cnf(892,plain,
% 11.24/11.33     (~P5(a4)+~P3(f2(a4))),
% 11.24/11.33     inference(scs_inference,[],[891,32])).
% 11.24/11.33  cnf(893,plain,
% 11.24/11.33     (P7(a1)+~P3(f2(a4))),
% 11.24/11.33     inference(scs_inference,[],[892,151])).
% 11.24/11.33  cnf(894,plain,
% 11.24/11.33     (~P8(a1)+~P3(f2(a4))),
% 11.24/11.33     inference(scs_inference,[],[893,30])).
% 11.24/11.33  cnf(943,plain,
% 11.24/11.33     (~P4(a1)+P7(a1)+P2(a4)),
% 11.24/11.33     inference(scs_inference,[],[18,35])).
% 11.24/11.33  cnf(944,plain,
% 11.24/11.33     (~P5(a4)+P7(a1)+~P4(a1)),
% 11.24/11.33     inference(scs_inference,[],[943,28])).
% 11.24/11.33  cnf(945,plain,
% 11.24/11.33     (P6(a1)+P7(a1)+~P5(a4)),
% 11.24/11.33     inference(scs_inference,[],[944,25])).
% 11.24/11.33  cnf(946,plain,
% 11.24/11.33     (P7(a1)+P6(a1)+P5(a1)),
% 11.24/11.33     inference(scs_inference,[],[945,19])).
% 11.24/11.33  cnf(947,plain,
% 11.24/11.33     (P6(a1)+P7(a1)+P3(f2(a4))),
% 11.24/11.33     inference(scs_inference,[],[946,130])).
% 11.24/11.33  cnf(948,plain,
% 11.24/11.33     (P6(a1)+~P3(a3)+P3(f2(a4))),
% 11.24/11.33     inference(scs_inference,[],[947,48])).
% 11.24/11.33  cnf(949,plain,
% 11.24/11.33     (P6(a1)+~P2(a1)+P3(f2(a4))),
% 11.24/11.33     inference(scs_inference,[],[948,23])).
% 11.24/11.33  cnf(950,plain,
% 11.24/11.33     (P5(a1)+P6(a1)+P3(f2(a4))),
% 11.24/11.33     inference(scs_inference,[],[949,24])).
% 11.24/11.33  cnf(951,plain,
% 11.24/11.33     (P5(a1)+P4(a4)+P3(f2(a4))),
% 11.24/11.33     inference(scs_inference,[],[950,22])).
% 11.24/11.33  cnf(952,plain,
% 11.24/11.33     (~P6(a4)+P5(a1)+P3(f2(a4))),
% 11.24/11.33     inference(scs_inference,[],[951,29])).
% 11.24/11.33  cnf(953,plain,
% 11.24/11.33     (~P6(a4)+~P7(a4)+P3(f2(a4))),
% 11.24/11.33     inference(scs_inference,[],[952,276])).
% 11.24/11.33  cnf(954,plain,
% 11.24/11.33     (P8(a4)+~P6(a4)+P3(f2(a4))),
% 11.24/11.33     inference(scs_inference,[],[953,26])).
% 11.24/11.33  cnf(955,plain,
% 11.24/11.33     (P8(a4)+~P4(a1)+P3(f2(a4))),
% 11.24/11.33     inference(scs_inference,[],[954,21])).
% 11.24/11.33  cnf(956,plain,
% 11.24/11.33     (P6(a1)+P8(a4)+P3(f2(a4))),
% 11.24/11.33     inference(scs_inference,[],[955,25])).
% 11.24/11.33  cnf(957,plain,
% 11.24/11.33     (P6(a1)+P3(f2(a4))),
% 11.24/11.33     inference(scs_inference,[],[956,115])).
% 11.24/11.33  cnf(1154,plain,
% 11.24/11.33     (~P4(a4)+P8(a4)+P5(a1)),
% 11.24/11.33     inference(scs_inference,[],[19,34])).
% 11.24/11.33  cnf(1155,plain,
% 11.24/11.33     (~P2(a1)+P8(a4)+~P4(a4)),
% 11.24/11.33     inference(scs_inference,[],[1154,28])).
% 11.24/11.33  cnf(1156,plain,
% 11.24/11.33     (P8(a4)+~P2(a1)+~P6(a1)),
% 11.24/11.33     inference(scs_inference,[],[1155,22])).
% 11.24/11.33  cnf(1157,plain,
% 11.24/11.33     (P4(a1)+~P2(a1)+P8(a4)),
% 11.24/11.33     inference(scs_inference,[],[1156,25])).
% 11.24/11.33  cnf(1158,plain,
% 11.24/11.33     (~P7(a4)+~P2(a1)+P4(a1)),
% 11.24/11.33     inference(scs_inference,[],[1157,30])).
% 11.24/11.33  cnf(1159,plain,
% 11.24/11.33     (~P2(a1)+~P7(a4)+P6(a4)),
% 11.24/11.33     inference(scs_inference,[],[1158,21])).
% 11.24/11.33  cnf(1160,plain,
% 11.24/11.33     (~P4(a4)+~P7(a4)+~P2(a1)),
% 11.24/11.33     inference(scs_inference,[],[1159,29])).
% 11.24/11.33  cnf(1161,plain,
% 11.24/11.33     (~P7(a4)+~P4(a4)+P2(a4)),
% 11.24/11.33     inference(scs_inference,[],[1160,18])).
% 11.24/11.33  cnf(1162,plain,
% 11.24/11.33     (~P4(a4)+~P7(a4)+P5(a1)),
% 11.24/11.33     inference(scs_inference,[],[1161,61])).
% 11.24/11.33  cnf(1163,plain,
% 11.24/11.33     (~P7(a4)+~P4(a4)+P3(f2(a4))),
% 11.24/11.33     inference(scs_inference,[],[1162,130])).
% 11.24/11.33  cnf(1164,plain,
% 11.24/11.33     (~P7(a4)+~P6(a1)+P3(f2(a4))),
% 11.24/11.33     inference(scs_inference,[],[1163,22])).
% 11.24/11.33  cnf(1165,plain,
% 11.24/11.33     (~P7(a4)+P3(f2(a4))),
% 11.24/11.33     inference(scs_inference,[],[1164,957])).
% 11.24/11.33  cnf(1166,plain,
% 11.24/11.33     (P8(a4)+P3(f2(a4))),
% 11.24/11.33     inference(scs_inference,[],[1165,26])).
% 11.24/11.33  cnf(1167,plain,
% 11.24/11.33     (P3(a5)+P3(f2(a4))),
% 11.24/11.33     inference(scs_inference,[],[1166,50])).
% 11.24/11.33  cnf(1168,plain,
% 11.24/11.33     (P3(f2(a4))),
% 11.24/11.33     inference(scs_inference,[],[1167,98])).
% 11.24/11.33  cnf(1175,plain,
% 11.24/11.33     (P5(a1)),
% 11.24/11.33     inference(scs_inference,[],[1168,197])).
% 11.24/11.33  cnf(1178,plain,
% 11.24/11.33     (P4(a1)),
% 11.24/11.33     inference(scs_inference,[],[1168,392])).
% 11.24/11.33  cnf(1209,plain,
% 11.24/11.33     (~P8(a1)),
% 11.24/11.33     inference(scs_inference,[],[1168,894])).
% 11.24/11.33  cnf(1569,plain,
% 11.24/11.33     ($false),
% 11.24/11.33     inference(scs_inference,[],[1175,1178,1209,34]),
% 11.24/11.33     ['proof']).
% 11.24/11.33  % SZS output end Proof
% 11.24/11.33  % Total time :10.690000s
%------------------------------------------------------------------------------