TSTP Solution File: KRS162+1 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : KRS162+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n028.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 05:39:30 EDT 2023
% Result : Theorem 19.32s 19.47s
% Output : CNFRefutation 19.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : KRS162+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.15 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.15/0.36 % Computer : n028.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon Aug 28 02:41:54 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.60 start to proof:theBenchmark
% 19.32/19.45 %-------------------------------------------
% 19.32/19.45 % File :CSE---1.6
% 19.32/19.45 % Problem :theBenchmark
% 19.32/19.45 % Transform :cnf
% 19.32/19.45 % Format :tptp:raw
% 19.32/19.45 % Command :java -jar mcs_scs.jar %d %s
% 19.32/19.45
% 19.32/19.45 % Result :Theorem 18.790000s
% 19.32/19.45 % Output :CNFRefutation 18.790000s
% 19.32/19.45 %-------------------------------------------
% 19.32/19.46 %------------------------------------------------------------------------------
% 19.32/19.46 % File : KRS162+1 : TPTP v8.1.2. Released v3.1.0.
% 19.32/19.46 % Domain : Knowledge Representation (Semantic Web)
% 19.32/19.46 % Problem : Entailment for three natural numbers
% 19.32/19.46 % Version : Especial.
% 19.32/19.46 % English : This entailment can be replicated for any three natural numbers
% 19.32/19.46 % i, j, k such that i+j >= k. In this example, they are chosen as
% 19.32/19.46 % 2, 3 and 5.
% 19.32/19.46
% 19.32/19.46 % Refs : [Bec03] Bechhofer (2003), Email to G. Sutcliffe
% 19.32/19.46 % : [TR+04] Tsarkov et al. (2004), Using Vampire to Reason with OW
% 19.32/19.46 % Source : [Bec03]
% 19.32/19.46 % Names : positive_description-logic-Manifest901 [Bec03]
% 19.32/19.46
% 19.32/19.46 % Status : Theorem
% 19.32/19.46 % Rating : 0.00 v5.3.0, 0.27 v5.2.0, 0.00 v4.1.0, 0.30 v4.0.0, 0.33 v3.7.0, 0.14 v3.5.0, 0.11 v3.4.0, 0.08 v3.3.0, 0.22 v3.2.0, 0.33 v3.1.0
% 19.32/19.46 % Syntax : Number of formulae : 20 ( 0 unt; 0 def)
% 19.32/19.46 % Number of atoms : 78 ( 26 equ)
% 19.32/19.46 % Maximal formula atoms : 28 ( 3 avg)
% 19.32/19.46 % Number of connectives : 77 ( 19 ~; 0 |; 39 &)
% 19.32/19.46 % ( 2 <=>; 17 =>; 0 <=; 0 <~>)
% 19.32/19.46 % Maximal formula depth : 25 ( 6 avg)
% 19.32/19.46 % Maximal term depth : 1 ( 1 avg)
% 19.32/19.46 % Number of predicates : 10 ( 9 usr; 0 prp; 1-2 aty)
% 19.32/19.46 % Number of functors : 0 ( 0 usr; 0 con; --- aty)
% 19.32/19.46 % Number of variables : 54 ( 44 !; 10 ?)
% 19.32/19.46 % SPC : FOF_THM_EPR_SEQ
% 19.32/19.46
% 19.32/19.46 % Comments : Sean Bechhofer says there are some errors in the encoding of
% 19.32/19.46 % datatypes, so this problem may not be perfect. At least it's
% 19.32/19.46 % still representative of the type of reasoning required for OWL.
% 19.32/19.46 %------------------------------------------------------------------------------
% 19.32/19.46 fof(cA_substitution_1,axiom,
% 19.32/19.46 ! [A,B] :
% 19.32/19.46 ( ( A = B
% 19.32/19.46 & cA(A) )
% 19.32/19.46 => cA(B) ) ).
% 19.32/19.46
% 19.32/19.46 fof(cB_substitution_1,axiom,
% 19.32/19.46 ! [A,B] :
% 19.32/19.46 ( ( A = B
% 19.32/19.46 & cB(A) )
% 19.32/19.46 => cB(B) ) ).
% 19.32/19.46
% 19.32/19.46 fof(cowlNothing_substitution_1,axiom,
% 19.32/19.46 ! [A,B] :
% 19.32/19.46 ( ( A = B
% 19.32/19.46 & cowlNothing(A) )
% 19.32/19.46 => cowlNothing(B) ) ).
% 19.32/19.46
% 19.32/19.46 fof(cowlThing_substitution_1,axiom,
% 19.32/19.46 ! [A,B] :
% 19.32/19.46 ( ( A = B
% 19.32/19.46 & cowlThing(A) )
% 19.32/19.46 => cowlThing(B) ) ).
% 19.32/19.46
% 19.32/19.46 fof(rp_substitution_1,axiom,
% 19.32/19.46 ! [A,B,C] :
% 19.32/19.46 ( ( A = B
% 19.32/19.46 & rp(A,C) )
% 19.32/19.46 => rp(B,C) ) ).
% 19.32/19.46
% 19.32/19.46 fof(rp_substitution_2,axiom,
% 19.32/19.46 ! [A,B,C] :
% 19.32/19.46 ( ( A = B
% 19.32/19.46 & rp(C,A) )
% 19.32/19.46 => rp(C,B) ) ).
% 19.32/19.46
% 19.32/19.46 fof(rq_substitution_1,axiom,
% 19.32/19.46 ! [A,B,C] :
% 19.32/19.46 ( ( A = B
% 19.32/19.46 & rq(A,C) )
% 19.32/19.46 => rq(B,C) ) ).
% 19.32/19.46
% 19.32/19.46 fof(rq_substitution_2,axiom,
% 19.32/19.46 ! [A,B,C] :
% 19.32/19.46 ( ( A = B
% 19.32/19.46 & rq(C,A) )
% 19.32/19.46 => rq(C,B) ) ).
% 19.32/19.46
% 19.32/19.46 fof(rr_substitution_1,axiom,
% 19.32/19.46 ! [A,B,C] :
% 19.32/19.46 ( ( A = B
% 19.32/19.46 & rr(A,C) )
% 19.32/19.46 => rr(B,C) ) ).
% 19.32/19.46
% 19.32/19.46 fof(rr_substitution_2,axiom,
% 19.32/19.46 ! [A,B,C] :
% 19.32/19.46 ( ( A = B
% 19.32/19.46 & rr(C,A) )
% 19.32/19.46 => rr(C,B) ) ).
% 19.32/19.46
% 19.32/19.46 fof(xsd_integer_substitution_1,axiom,
% 19.32/19.46 ! [A,B] :
% 19.32/19.46 ( ( A = B
% 19.32/19.46 & xsd_integer(A) )
% 19.32/19.46 => xsd_integer(B) ) ).
% 19.32/19.46
% 19.32/19.46 fof(xsd_string_substitution_1,axiom,
% 19.32/19.46 ! [A,B] :
% 19.32/19.46 ( ( A = B
% 19.32/19.46 & xsd_string(A) )
% 19.32/19.46 => xsd_string(B) ) ).
% 19.32/19.46
% 19.32/19.46 %----Thing and Nothing
% 19.32/19.46 fof(axiom_0,axiom,
% 19.32/19.46 ! [X] :
% 19.32/19.46 ( cowlThing(X)
% 19.32/19.46 & ~ cowlNothing(X) ) ).
% 19.32/19.46
% 19.32/19.46 %----String and Integer disjoint
% 19.32/19.46 fof(axiom_1,axiom,
% 19.32/19.46 ! [X] :
% 19.32/19.46 ( xsd_string(X)
% 19.32/19.46 <=> ~ xsd_integer(X) ) ).
% 19.32/19.46
% 19.32/19.46 %----Range: rp
% 19.32/19.46 fof(axiom_2,axiom,
% 19.32/19.46 ! [X,Y] :
% 19.32/19.46 ( rp(X,Y)
% 19.32/19.46 => cA(Y) ) ).
% 19.32/19.46
% 19.32/19.46 %----Range: rq
% 19.32/19.46 fof(axiom_3,axiom,
% 19.32/19.46 ! [X,Y] :
% 19.32/19.46 ( rq(X,Y)
% 19.32/19.46 => cB(Y) ) ).
% 19.32/19.46
% 19.32/19.46 fof(axiom_4,axiom,
% 19.32/19.46 ! [X] :
% 19.32/19.46 ~ ( cB(X)
% 19.32/19.46 & cA(X) ) ).
% 19.32/19.46
% 19.32/19.46 fof(axiom_5,axiom,
% 19.32/19.46 ! [X,Y] :
% 19.32/19.47 ( rq(X,Y)
% 19.32/19.47 => rr(X,Y) ) ).
% 19.32/19.47
% 19.32/19.47 fof(axiom_6,axiom,
% 19.32/19.47 ! [X,Y] :
% 19.32/19.47 ( rp(X,Y)
% 19.32/19.47 => rr(X,Y) ) ).
% 19.32/19.47
% 19.32/19.47 %----Thing and Nothing
% 19.32/19.47 %----String and Integer disjoint
% 19.32/19.47 fof(the_axiom,conjecture,
% 19.32/19.47 ( ! [X] :
% 19.32/19.47 ( cowlThing(X)
% 19.32/19.47 & ~ cowlNothing(X) )
% 19.32/19.47 & ! [X] :
% 19.32/19.47 ( xsd_string(X)
% 19.32/19.47 <=> ~ xsd_integer(X) )
% 19.32/19.47 & ! [X] :
% 19.32/19.47 ( ( ? [Y0,Y1] :
% 19.32/19.47 ( rp(X,Y0)
% 19.32/19.47 & rp(X,Y1)
% 19.32/19.47 & Y0 != Y1 )
% 19.32/19.47 & ? [Y0,Y1,Y2] :
% 19.32/19.47 ( rq(X,Y0)
% 19.32/19.47 & rq(X,Y1)
% 19.32/19.47 & rq(X,Y2)
% 19.32/19.47 & Y0 != Y1
% 19.32/19.47 & Y0 != Y2
% 19.32/19.47 & Y1 != Y2 ) )
% 19.32/19.47 => ? [Y0,Y1,Y2,Y3,Y4] :
% 19.32/19.47 ( rr(X,Y0)
% 19.32/19.47 & rr(X,Y1)
% 19.32/19.47 & rr(X,Y2)
% 19.32/19.47 & rr(X,Y3)
% 19.32/19.47 & rr(X,Y4)
% 19.32/19.47 & Y0 != Y1
% 19.32/19.47 & Y0 != Y2
% 19.32/19.47 & Y0 != Y3
% 19.32/19.47 & Y0 != Y4
% 19.32/19.47 & Y1 != Y2
% 19.32/19.47 & Y1 != Y3
% 19.32/19.47 & Y1 != Y4
% 19.32/19.47 & Y2 != Y3
% 19.32/19.47 & Y2 != Y4
% 19.32/19.47 & Y3 != Y4 ) ) ) ).
% 19.32/19.47
% 19.32/19.47 %------------------------------------------------------------------------------
% 19.32/19.47 %-------------------------------------------
% 19.32/19.47 % Proof found
% 19.32/19.47 % SZS status Theorem for theBenchmark
% 19.32/19.47 % SZS output start Proof
% 19.32/19.47 %ClaNum:42(EqnAxiom:14)
% 19.32/19.47 %VarNum:71(SingletonVarNum:22)
% 19.32/19.47 %MaxLitNum:18
% 19.32/19.47 %MaxfuncDepth:0
% 19.32/19.47 %SharedTerms:22
% 19.32/19.47 %goalClause: 17 18 19 20 21 22 23 24 27 28 29 30 31 32 33 34 35 36 41 42
% 19.32/19.47 [15]~P1(x151)
% 19.32/19.47 [16]P8(x161)+P4(x161)
% 19.32/19.47 [25]~P3(x251)+~P2(x251)
% 19.32/19.47 [26]~P8(x261)+~P4(x261)
% 19.32/19.47 [37]P2(x371)+~P5(x372,x371)
% 19.32/19.47 [38]P3(x381)+~P6(x382,x381)
% 19.32/19.47 [39]~P5(x391,x392)+P7(x391,x392)
% 19.32/19.47 [40]~P6(x401,x402)+P7(x401,x402)
% 19.32/19.47 [17]P1(a1)+P4(a2)+~E(a3,a4)+~P8(a2)
% 19.32/19.47 [18]P1(a1)+P4(a2)+~E(a6,a7)+~P8(a2)
% 19.32/19.47 [19]P1(a1)+P4(a2)+~E(a8,a7)+~P8(a2)
% 19.32/19.47 [20]P1(a1)+P4(a2)+~E(a8,a6)+~P8(a2)
% 19.32/19.47 [21]~E(a3,a4)+P1(a1)+P8(a2)+~P4(a2)
% 19.32/19.47 [22]~E(a6,a7)+P1(a1)+P8(a2)+~P4(a2)
% 19.32/19.47 [23]~E(a8,a7)+P1(a1)+P8(a2)+~P4(a2)
% 19.32/19.47 [24]~E(a8,a6)+P1(a1)+P8(a2)+~P4(a2)
% 19.32/19.47 [27]P1(a1)+P4(a2)+P5(a5,a4)+~P8(a2)
% 19.32/19.47 [28]P1(a1)+P4(a2)+P5(a5,a3)+~P8(a2)
% 19.32/19.47 [29]P1(a1)+P4(a2)+P6(a5,a7)+~P8(a2)
% 19.32/19.47 [30]P1(a1)+P4(a2)+P6(a5,a6)+~P8(a2)
% 19.32/19.47 [31]P1(a1)+P4(a2)+P6(a5,a8)+~P8(a2)
% 19.32/19.47 [32]P5(a5,a4)+P1(a1)+P8(a2)+~P4(a2)
% 19.32/19.47 [33]P5(a5,a3)+P1(a1)+P8(a2)+~P4(a2)
% 19.32/19.47 [34]P6(a5,a7)+P1(a1)+P8(a2)+~P4(a2)
% 19.32/19.47 [35]P6(a5,a6)+P1(a1)+P8(a2)+~P4(a2)
% 19.32/19.47 [36]P6(a5,a8)+P1(a1)+P8(a2)+~P4(a2)
% 19.32/19.47 [41]E(x413,x411)+E(x415,x414)+E(x414,x411)+E(x414,x413)+E(x415,x413)+E(x415,x411)+E(x411,x412)+E(x413,x412)+E(x414,x412)+E(x415,x412)+~P7(a5,x412)+~P7(a5,x411)+~P7(a5,x413)+~P7(a5,x414)+~P7(a5,x415)+P1(a1)+P4(a2)+~P8(a2)
% 19.32/19.47 [42]E(x423,x421)+E(x425,x424)+E(x424,x421)+E(x424,x423)+E(x425,x423)+E(x425,x421)+E(x421,x422)+E(x423,x422)+E(x424,x422)+E(x425,x422)+~P7(a5,x422)+~P7(a5,x421)+~P7(a5,x423)+~P7(a5,x424)+~P7(a5,x425)+P1(a1)+P8(a2)+~P4(a2)
% 19.32/19.47 %EqnAxiom
% 19.32/19.47 [1]E(x11,x11)
% 19.32/19.47 [2]E(x22,x21)+~E(x21,x22)
% 19.32/19.47 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 19.32/19.47 [4]~P1(x41)+P1(x42)+~E(x41,x42)
% 19.32/19.47 [5]~P4(x51)+P4(x52)+~E(x51,x52)
% 19.32/19.47 [6]~P8(x61)+P8(x62)+~E(x61,x62)
% 19.32/19.47 [7]P7(x72,x73)+~E(x71,x72)+~P7(x71,x73)
% 19.32/19.47 [8]P7(x83,x82)+~E(x81,x82)+~P7(x83,x81)
% 19.32/19.47 [9]P6(x92,x93)+~E(x91,x92)+~P6(x91,x93)
% 19.32/19.47 [10]P6(x103,x102)+~E(x101,x102)+~P6(x103,x101)
% 19.32/19.47 [11]P5(x112,x113)+~E(x111,x112)+~P5(x111,x113)
% 19.32/19.47 [12]P5(x123,x122)+~E(x121,x122)+~P5(x123,x121)
% 19.32/19.47 [13]~P3(x131)+P3(x132)+~E(x131,x132)
% 19.32/19.47 [14]~P2(x141)+P2(x142)+~E(x141,x142)
% 19.32/19.47
% 19.32/19.47 %-------------------------------------------
% 19.32/19.47 cnf(43,plain,
% 19.32/19.47 (~E(a3,a4)+~P8(a2)+P4(a2)),
% 19.32/19.47 inference(scs_inference,[],[15,17])).
% 19.32/19.47 cnf(44,plain,
% 19.32/19.47 (~E(a6,a7)+~P8(a2)+P4(a2)),
% 19.32/19.47 inference(scs_inference,[],[15,18])).
% 19.32/19.47 cnf(45,plain,
% 19.32/19.47 (~E(a8,a7)+~P8(a2)+P4(a2)),
% 19.32/19.47 inference(scs_inference,[],[15,19])).
% 19.32/19.47 cnf(46,plain,
% 19.32/19.47 (~E(a8,a6)+~P8(a2)+P4(a2)),
% 19.32/19.47 inference(scs_inference,[],[15,20])).
% 19.32/19.47 cnf(47,plain,
% 19.32/19.47 (~E(a3,a4)+~P4(a2)+P8(a2)),
% 19.32/19.47 inference(scs_inference,[],[15,21])).
% 19.32/19.47 cnf(48,plain,
% 19.32/19.47 (~E(a6,a7)+~P4(a2)+P8(a2)),
% 19.32/19.47 inference(scs_inference,[],[15,22])).
% 19.32/19.47 cnf(49,plain,
% 19.32/19.47 (~E(a8,a7)+~P4(a2)+P8(a2)),
% 19.32/19.47 inference(scs_inference,[],[15,23])).
% 19.32/19.47 cnf(50,plain,
% 19.32/19.47 (~E(a8,a6)+~P4(a2)+P8(a2)),
% 19.32/19.47 inference(scs_inference,[],[15,24])).
% 19.32/19.47 cnf(51,plain,
% 19.32/19.47 (P5(a5,a4)+~P8(a2)+P4(a2)),
% 19.32/19.47 inference(scs_inference,[],[15,27])).
% 19.32/19.47 cnf(52,plain,
% 19.32/19.47 (P5(a5,a3)+~P8(a2)+P4(a2)),
% 19.32/19.47 inference(scs_inference,[],[15,28])).
% 19.32/19.47 cnf(53,plain,
% 19.32/19.47 (P6(a5,a7)+~P8(a2)+P4(a2)),
% 19.32/19.47 inference(scs_inference,[],[15,29])).
% 19.32/19.47 cnf(54,plain,
% 19.32/19.47 (P6(a5,a6)+~P8(a2)+P4(a2)),
% 19.32/19.47 inference(scs_inference,[],[15,30])).
% 19.32/19.47 cnf(55,plain,
% 19.32/19.47 (P6(a5,a8)+~P8(a2)+P4(a2)),
% 19.32/19.47 inference(scs_inference,[],[15,31])).
% 19.32/19.47 cnf(56,plain,
% 19.32/19.47 (P5(a5,a4)+~P4(a2)+P8(a2)),
% 19.32/19.47 inference(scs_inference,[],[15,32])).
% 19.32/19.47 cnf(57,plain,
% 19.32/19.47 (P5(a5,a3)+~P4(a2)+P8(a2)),
% 19.32/19.47 inference(scs_inference,[],[15,33])).
% 19.32/19.47 cnf(58,plain,
% 19.32/19.47 (P6(a5,a7)+~P4(a2)+P8(a2)),
% 19.32/19.47 inference(scs_inference,[],[15,34])).
% 19.32/19.47 cnf(59,plain,
% 19.32/19.47 (P6(a5,a6)+~P4(a2)+P8(a2)),
% 19.32/19.47 inference(scs_inference,[],[15,35])).
% 19.32/19.47 cnf(60,plain,
% 19.32/19.47 (P6(a5,a8)+~P4(a2)+P8(a2)),
% 19.32/19.47 inference(scs_inference,[],[15,36])).
% 19.32/19.47 cnf(61,plain,
% 19.32/19.47 (E(x611,x612)+E(x611,x613)+E(x614,x613)+E(x614,x612)+E(x613,x615)+E(x611,x615)+E(x614,x615)+E(x613,x612)+E(x614,x611)+E(x612,x615)+~P7(a5,x615)+~P7(a5,x612)+~P7(a5,x613)+~P7(a5,x611)+~P7(a5,x614)+~P8(a2)+P4(a2)),
% 19.32/19.47 inference(scs_inference,[],[15,41])).
% 19.32/19.47 cnf(62,plain,
% 19.32/19.47 (E(x621,x622)+E(x621,x623)+E(x624,x623)+E(x624,x622)+E(x623,x625)+E(x621,x625)+E(x624,x625)+E(x623,x622)+E(x624,x621)+E(x622,x625)+~P7(a5,x625)+~P7(a5,x622)+~P7(a5,x623)+~P7(a5,x621)+~P7(a5,x624)+~P4(a2)+P8(a2)),
% 19.32/19.47 inference(scs_inference,[],[15,42])).
% 19.32/19.47 cnf(64,plain,
% 19.32/19.47 (~P3(x641)+~P5(x642,x641)),
% 19.32/19.47 inference(scs_inference,[],[25,37])).
% 19.32/19.47 cnf(65,plain,
% 19.32/19.47 (~P6(x651,x652)+P3(x653)+~E(x652,x653)),
% 19.32/19.47 inference(scs_inference,[],[38,10])).
% 19.32/19.47 cnf(67,plain,
% 19.32/19.47 (~P5(x671,x672)+~P6(x673,x672)),
% 19.32/19.47 inference(scs_inference,[],[64,38])).
% 19.32/19.47 cnf(68,plain,
% 19.32/19.47 (~E(x681,x682)+E(x682,x683)+~E(x683,x681)),
% 19.32/19.47 inference(scs_inference,[],[2,3])).
% 19.32/19.47 cnf(71,plain,
% 19.32/19.47 (~P6(x711,x712)+P7(x711,x713)+~E(x712,x713)),
% 19.32/19.47 inference(scs_inference,[],[40,8])).
% 19.32/19.47 cnf(79,plain,
% 19.32/19.47 (~E(x791,x792)+~P3(x792)+P3(x791)),
% 19.32/19.47 inference(scs_inference,[],[13,2])).
% 19.32/19.47 cnf(81,plain,
% 19.32/19.47 (~E(x811,x812)+~P2(x812)+P2(x811)),
% 19.32/19.47 inference(scs_inference,[],[14,2])).
% 19.32/19.47 cnf(91,plain,
% 19.32/19.47 (P2(a4)+~P8(a2)+P4(a2)),
% 19.32/19.47 inference(scs_inference,[],[51,37])).
% 19.32/19.47 cnf(92,plain,
% 19.32/19.47 (~P8(a2)+P2(a4)),
% 19.32/19.47 inference(scs_inference,[],[91,26])).
% 19.32/19.47 cnf(99,plain,
% 19.32/19.47 (P7(a5,a7)+P4(a2)+~P8(a2)),
% 19.32/19.47 inference(scs_inference,[],[53,40])).
% 19.32/19.47 cnf(101,plain,
% 19.32/19.47 (P3(a8)+P4(a2)+~P8(a2)),
% 19.32/19.47 inference(scs_inference,[],[55,38])).
% 19.32/19.47 cnf(102,plain,
% 19.32/19.47 (P4(a2)+P3(a8)),
% 19.32/19.47 inference(scs_inference,[],[101,16])).
% 19.32/19.47 cnf(106,plain,
% 19.32/19.47 (P2(a4)+P8(a2)+~P4(a2)),
% 19.32/19.47 inference(scs_inference,[],[56,37])).
% 19.32/19.47 cnf(110,plain,
% 19.32/19.47 (P7(a5,a7)+P8(a2)+~P4(a2)),
% 19.32/19.47 inference(scs_inference,[],[58,40])).
% 19.32/19.47 cnf(111,plain,
% 19.32/19.47 (~P5(x1111,a6)+~P4(a2)+P8(a2)),
% 19.32/19.47 inference(scs_inference,[],[59,67])).
% 19.32/19.47 cnf(112,plain,
% 19.32/19.47 (P7(a5,a8)+P8(a2)+~P4(a2)),
% 19.32/19.47 inference(scs_inference,[],[60,40])).
% 19.32/19.47 cnf(135,plain,
% 19.32/19.47 (P7(x1351,a8)+~E(a5,x1351)+P8(a2)+~P4(a2)),
% 19.32/19.47 inference(scs_inference,[],[112,7])).
% 19.32/19.47 cnf(137,plain,
% 19.32/19.47 (P6(x1371,a7)+~E(a5,x1371)+~P8(a2)+P4(a2)),
% 19.32/19.47 inference(scs_inference,[],[9,53])).
% 19.32/19.47 cnf(141,plain,
% 19.32/19.47 (P4(a2)+P2(a4)),
% 19.32/19.47 inference(scs_inference,[],[16,92])).
% 19.32/19.47 cnf(142,plain,
% 19.32/19.47 (~E(a4,x1421)+P2(x1421)+P4(a2)),
% 19.32/19.47 inference(scs_inference,[],[141,14])).
% 19.32/19.47 cnf(148,plain,
% 19.32/19.47 (~E(a3,a4)+P8(a2)),
% 19.32/19.47 inference(scs_inference,[],[16,47])).
% 19.32/19.47 cnf(155,plain,
% 19.32/19.47 (~E(a3,a4)+P4(a2)),
% 19.32/19.47 inference(scs_inference,[],[16,43])).
% 19.32/19.47 cnf(156,plain,
% 19.32/19.47 (~E(a4,a3)+P4(a2)),
% 19.32/19.47 inference(scs_inference,[],[155,2])).
% 19.32/19.48 cnf(162,plain,
% 19.32/19.48 (~E(a6,a7)+P8(a2)),
% 19.32/19.48 inference(scs_inference,[],[16,48])).
% 19.32/19.48 cnf(169,plain,
% 19.32/19.48 (~E(a6,a7)+P4(a2)),
% 19.32/19.48 inference(scs_inference,[],[16,44])).
% 19.32/19.48 cnf(170,plain,
% 19.32/19.48 (~E(a7,a6)+P4(a2)),
% 19.32/19.48 inference(scs_inference,[],[169,2])).
% 19.32/19.48 cnf(176,plain,
% 19.32/19.48 (~E(a8,a7)+P8(a2)),
% 19.32/19.48 inference(scs_inference,[],[16,49])).
% 19.32/19.48 cnf(183,plain,
% 19.32/19.48 (~E(a8,a7)+P4(a2)),
% 19.32/19.48 inference(scs_inference,[],[16,45])).
% 19.32/19.48 cnf(184,plain,
% 19.32/19.48 (~E(a7,a8)+P4(a2)),
% 19.32/19.48 inference(scs_inference,[],[183,2])).
% 19.32/19.48 cnf(190,plain,
% 19.32/19.48 (~E(a8,a6)+P8(a2)),
% 19.32/19.48 inference(scs_inference,[],[16,50])).
% 19.32/19.48 cnf(191,plain,
% 19.32/19.48 (~E(a6,a8)+P8(a2)),
% 19.32/19.48 inference(scs_inference,[],[190,2])).
% 19.32/19.48 cnf(197,plain,
% 19.32/19.48 (~E(a8,a6)+P4(a2)),
% 19.32/19.48 inference(scs_inference,[],[16,46])).
% 19.32/19.48 cnf(198,plain,
% 19.32/19.48 (~E(a6,a8)+P4(a2)),
% 19.32/19.48 inference(scs_inference,[],[197,2])).
% 19.32/19.48 cnf(204,plain,
% 19.32/19.48 (P5(a5,a4)+P8(a2)),
% 19.32/19.48 inference(scs_inference,[],[16,56])).
% 19.32/19.48 cnf(210,plain,
% 19.32/19.48 (P5(a5,a3)+P4(a2)),
% 19.32/19.48 inference(scs_inference,[],[16,52])).
% 19.32/19.48 cnf(211,plain,
% 19.32/19.48 (P2(a3)+P4(a2)),
% 19.32/19.48 inference(scs_inference,[],[210,37])).
% 19.32/19.48 cnf(219,plain,
% 19.32/19.48 (P6(a5,a6)+P4(a2)),
% 19.32/19.48 inference(scs_inference,[],[16,54])).
% 19.32/19.48 cnf(223,plain,
% 19.32/19.48 (P5(a5,a3)+P8(a2)),
% 19.32/19.48 inference(scs_inference,[],[16,57])).
% 19.32/19.48 cnf(224,plain,
% 19.32/19.48 (P7(a5,a3)+P8(a2)),
% 19.32/19.48 inference(scs_inference,[],[223,39])).
% 19.32/19.48 cnf(227,plain,
% 19.32/19.48 (P6(a5,a8)+P4(a2)),
% 19.32/19.48 inference(scs_inference,[],[16,55])).
% 19.32/19.48 cnf(231,plain,
% 19.32/19.48 (P6(a5,a7)+P8(a2)),
% 19.32/19.48 inference(scs_inference,[],[16,58])).
% 19.32/19.48 cnf(238,plain,
% 19.32/19.48 (P6(a5,a6)+P8(a2)),
% 19.32/19.48 inference(scs_inference,[],[16,59])).
% 19.32/19.48 cnf(239,plain,
% 19.32/19.48 (P7(a5,a6)+P8(a2)),
% 19.32/19.48 inference(scs_inference,[],[238,40])).
% 19.32/19.48 cnf(244,plain,
% 19.32/19.48 (P7(a5,a7)+P4(a2)),
% 19.32/19.48 inference(scs_inference,[],[16,99])).
% 19.32/19.48 cnf(247,plain,
% 19.32/19.48 (P6(a5,a8)+P8(a2)),
% 19.32/19.48 inference(scs_inference,[],[16,60])).
% 19.32/19.48 cnf(248,plain,
% 19.32/19.48 (~P5(x2481,a8)+P8(a2)),
% 19.32/19.48 inference(scs_inference,[],[247,67])).
% 19.32/19.48 cnf(251,plain,
% 19.32/19.48 (P5(a5,a4)+P4(a2)),
% 19.32/19.48 inference(scs_inference,[],[16,51])).
% 19.32/19.48 cnf(256,plain,
% 19.32/19.48 (P8(a2)+P2(a4)),
% 19.32/19.48 inference(scs_inference,[],[16,106])).
% 19.32/19.48 cnf(257,plain,
% 19.32/19.48 (P2(x2571)+~E(x2571,a4)+P8(a2)),
% 19.32/19.48 inference(scs_inference,[],[256,81])).
% 19.32/19.48 cnf(261,plain,
% 19.32/19.48 (P7(a5,a7)+P8(a2)),
% 19.32/19.48 inference(scs_inference,[],[16,110])).
% 19.32/19.48 cnf(264,plain,
% 19.32/19.48 (P6(a5,a7)+P4(a2)),
% 19.32/19.48 inference(scs_inference,[],[16,53])).
% 19.32/19.48 cnf(268,plain,
% 19.32/19.48 (~P5(x2681,a6)+P8(a2)),
% 19.32/19.48 inference(scs_inference,[],[16,111])).
% 19.32/19.48 cnf(273,plain,
% 19.32/19.48 (P7(a5,a8)+P8(a2)),
% 19.32/19.48 inference(scs_inference,[],[16,112])).
% 19.32/19.48 cnf(280,plain,
% 19.32/19.48 (~E(a5,x2801)+P6(x2801,a7)+P4(a2)),
% 19.32/19.48 inference(scs_inference,[],[16,137])).
% 19.32/19.48 cnf(286,plain,
% 19.32/19.48 (~E(a5,x2861)+P7(x2861,a8)+P8(a2)),
% 19.32/19.48 inference(scs_inference,[],[16,135])).
% 19.32/19.48 cnf(288,plain,
% 19.32/19.48 (~P2(x2881)+~P6(x2882,x2881)),
% 19.32/19.48 inference(scs_inference,[],[25,38])).
% 19.32/19.48 cnf(289,plain,
% 19.32/19.48 (~P2(a6)+P4(a2)),
% 19.32/19.48 inference(scs_inference,[],[288,219])).
% 19.32/19.48 cnf(290,plain,
% 19.32/19.48 (~P8(a2)+~P2(a6)),
% 19.32/19.48 inference(scs_inference,[],[289,26])).
% 19.32/19.48 cnf(303,plain,
% 19.32/19.48 (~E(x3031,x3032)+~P3(x3032)+~P2(x3031)),
% 19.32/19.48 inference(scs_inference,[],[25,14])).
% 19.32/19.48 cnf(305,plain,
% 19.32/19.48 (~P2(x3051)+~E(x3052,x3051)+~P3(x3052)),
% 19.32/19.48 inference(scs_inference,[],[25,13])).
% 19.32/19.48 cnf(307,plain,
% 19.32/19.48 (~P3(x3071)+~E(a4,x3071)+P4(a2)),
% 19.32/19.48 inference(scs_inference,[],[25,142])).
% 19.32/19.48 cnf(309,plain,
% 19.32/19.48 (~P2(x3091)+~E(x3092,x3091)+~P6(x3093,x3092)),
% 19.32/19.48 inference(scs_inference,[],[25,65])).
% 19.32/19.48 cnf(311,plain,
% 19.32/19.48 (~P3(x3111)+~E(x3111,a4)+P8(a2)),
% 19.32/19.48 inference(scs_inference,[],[25,257])).
% 19.32/19.48 cnf(323,plain,
% 19.32/19.48 (~P8(a2)+P3(a8)),
% 19.32/19.48 inference(scs_inference,[],[26,102])).
% 19.32/19.48 cnf(349,plain,
% 19.32/19.48 (~P8(a2)+~E(a3,a4)),
% 19.32/19.48 inference(scs_inference,[],[26,155])).
% 19.32/19.48 cnf(363,plain,
% 19.32/19.48 (~P8(a2)+~E(a6,a7)),
% 19.32/19.48 inference(scs_inference,[],[26,169])).
% 19.32/19.48 cnf(376,plain,
% 19.32/19.48 (~P8(a2)+~E(a8,a7)),
% 19.32/19.48 inference(scs_inference,[],[26,183])).
% 19.32/19.48 cnf(383,plain,
% 19.32/19.48 (~P4(a2)+P5(a5,a3)),
% 19.32/19.48 inference(scs_inference,[],[26,223])).
% 19.32/19.48 cnf(387,plain,
% 19.32/19.48 (~P8(a2)+~E(a8,a6)),
% 19.32/19.48 inference(scs_inference,[],[26,197])).
% 19.32/19.48 cnf(388,plain,
% 19.32/19.48 (~E(a6,a8)+~P8(a2)),
% 19.32/19.48 inference(scs_inference,[],[387,2])).
% 19.32/19.48 cnf(394,plain,
% 19.32/19.48 (~P4(a2)+P6(a5,a7)),
% 19.32/19.48 inference(scs_inference,[],[26,231])).
% 19.32/19.48 cnf(414,plain,
% 19.32/19.48 (~P4(a2)+P6(a5,a6)),
% 19.32/19.48 inference(scs_inference,[],[26,238])).
% 19.32/19.48 cnf(418,plain,
% 19.32/19.48 (~P8(a2)+P6(a5,a6)),
% 19.32/19.48 inference(scs_inference,[],[26,219])).
% 19.32/19.48 cnf(419,plain,
% 19.32/19.48 (P3(a6)+~P8(a2)),
% 19.32/19.48 inference(scs_inference,[],[418,38])).
% 19.32/19.48 cnf(420,plain,
% 19.32/19.48 (P4(a2)+P3(a6)),
% 19.32/19.48 inference(scs_inference,[],[419,16])).
% 19.32/19.48 cnf(421,plain,
% 19.32/19.48 (~E(a6,x4211)+P3(x4211)+P4(a2)),
% 19.32/19.48 inference(scs_inference,[],[420,13])).
% 19.32/19.48 cnf(430,plain,
% 19.32/19.48 (~P4(a2)+P6(a5,a8)),
% 19.32/19.48 inference(scs_inference,[],[26,247])).
% 19.32/19.48 cnf(445,plain,
% 19.32/19.48 (~P8(a2)+P5(a5,a4)),
% 19.32/19.48 inference(scs_inference,[],[26,251])).
% 19.32/19.48 cnf(450,plain,
% 19.32/19.48 (~P8(a2)+P6(a5,a7)),
% 19.32/19.48 inference(scs_inference,[],[26,264])).
% 19.32/19.48 cnf(451,plain,
% 19.32/19.48 (~P2(a7)+~P8(a2)),
% 19.32/19.48 inference(scs_inference,[],[450,288])).
% 19.32/19.48 cnf(518,plain,
% 19.32/19.48 (P5(a5,a4)+P2(a4)),
% 19.32/19.48 inference(scs_inference,[],[92,204])).
% 19.32/19.48 cnf(519,plain,
% 19.32/19.48 (P2(a4)),
% 19.32/19.48 inference(scs_inference,[],[518,37])).
% 19.32/19.48 cnf(557,plain,
% 19.32/19.48 (~E(a7,a4)),
% 19.32/19.48 inference(scs_inference,[],[519,288,25,10,450,394,273,268,264,248,247,244,239,231,224,223,219,211,204,198,197,184,183,170,169,156,155,16,14,11,8,421,311,309,307,286,280])).
% 19.32/19.48 cnf(562,plain,
% 19.32/19.48 (~E(a4,a7)),
% 19.32/19.48 inference(scs_inference,[],[557,2])).
% 19.32/19.48 cnf(563,plain,
% 19.32/19.48 (P2(x5631)+~E(x5631,a4)),
% 19.32/19.48 inference(scs_inference,[],[557,519,2,81])).
% 19.32/19.48 cnf(568,plain,
% 19.32/19.48 (~P3(x5681)+~E(x5681,a4)),
% 19.32/19.48 inference(scs_inference,[],[519,305])).
% 19.32/19.48 cnf(608,plain,
% 19.32/19.48 (~E(a4,x6081)+P2(x6081)),
% 19.32/19.48 inference(scs_inference,[],[519,14])).
% 19.32/19.48 cnf(887,plain,
% 19.32/19.48 (P5(a5,a3)+P2(a3)),
% 19.32/19.48 inference(scs_inference,[],[211,383])).
% 19.32/19.48 cnf(888,plain,
% 19.32/19.48 (P2(a3)),
% 19.32/19.48 inference(scs_inference,[],[887,37])).
% 19.32/19.48 cnf(889,plain,
% 19.32/19.48 (~P3(a3)),
% 19.32/19.48 inference(scs_inference,[],[888,25])).
% 19.32/19.48 cnf(891,plain,
% 19.32/19.48 (~P3(x8911)+~E(a3,x8911)),
% 19.32/19.48 inference(scs_inference,[],[888,25,79])).
% 19.32/19.48 cnf(892,plain,
% 19.32/19.48 (~E(a3,a6)+P4(a2)),
% 19.32/19.48 inference(scs_inference,[],[888,25,79,420])).
% 19.32/19.48 cnf(918,plain,
% 19.32/19.48 (~E(a6,a3)+P4(a2)),
% 19.32/19.48 inference(scs_inference,[],[892,2])).
% 19.32/19.48 cnf(931,plain,
% 19.32/19.48 (~E(a6,a3)),
% 19.32/19.48 inference(scs_inference,[],[889,888,288,65,414,183,170,156,219,420,25,2,918])).
% 19.32/19.48 cnf(933,plain,
% 19.32/19.48 (~P3(x9331)+~E(x9331,a3)),
% 19.32/19.48 inference(scs_inference,[],[888,305])).
% 19.32/19.48 cnf(936,plain,
% 19.32/19.48 (P2(x9361)+~E(x9361,a3)),
% 19.32/19.48 inference(scs_inference,[],[888,931,305,3,81])).
% 19.32/19.48 cnf(937,plain,
% 19.32/19.48 (~E(a3,x9371)+P2(x9371)),
% 19.32/19.48 inference(scs_inference,[],[888,931,305,3,81,14])).
% 19.32/19.48 cnf(1258,plain,
% 19.32/19.48 (P6(a5,a7)+~P2(a7)),
% 19.32/19.48 inference(scs_inference,[],[451,231])).
% 19.32/19.48 cnf(1259,plain,
% 19.32/19.48 (P3(a7)+~P2(a7)),
% 19.32/19.48 inference(scs_inference,[],[1258,38])).
% 19.32/19.48 cnf(1358,plain,
% 19.32/19.48 (~P2(a7)),
% 19.32/19.48 inference(scs_inference,[],[1259,25])).
% 19.32/19.48 cnf(1359,plain,
% 19.32/19.48 (~E(a3,a7)),
% 19.32/19.48 inference(scs_inference,[],[1358,937])).
% 19.32/19.48 cnf(1360,plain,
% 19.32/19.48 (~E(a7,a3)),
% 19.32/19.48 inference(scs_inference,[],[1358,937,936])).
% 19.32/19.48 cnf(1454,plain,
% 19.32/19.48 (~P3(x14541)+~P5(x14542,x14543)+~E(x14543,x14541)),
% 19.32/19.48 inference(scs_inference,[],[37,303])).
% 19.32/19.48 cnf(1456,plain,
% 19.32/19.48 (~P3(x14561)+~P5(x14562,x14563)+~E(x14561,x14563)),
% 19.32/19.48 inference(scs_inference,[],[37,305])).
% 19.32/19.48 cnf(1518,plain,
% 19.32/19.48 (P3(a6)+P8(a2)),
% 19.32/19.48 inference(scs_inference,[],[38,238])).
% 19.32/19.48 cnf(1531,plain,
% 19.32/19.48 (P3(a6)+~P2(a6)),
% 19.32/19.48 inference(scs_inference,[],[1518,290])).
% 19.32/19.48 cnf(1532,plain,
% 19.32/19.48 (~P2(a6)),
% 19.32/19.48 inference(scs_inference,[],[1531,25])).
% 19.32/19.48 cnf(1533,plain,
% 19.32/19.48 (~E(a6,a4)),
% 19.32/19.48 inference(scs_inference,[],[1532,563])).
% 19.32/19.48 cnf(1536,plain,
% 19.32/19.48 (~E(a4,a6)),
% 19.32/19.48 inference(scs_inference,[],[1532,563,37,608])).
% 19.32/19.48 cnf(1576,plain,
% 19.32/19.48 (P3(a8)+P8(a2)),
% 19.32/19.48 inference(scs_inference,[],[38,247])).
% 19.32/19.48 cnf(1606,plain,
% 19.32/19.48 (P3(a8)),
% 19.32/19.48 inference(scs_inference,[],[1576,323])).
% 19.32/19.48 cnf(1607,plain,
% 19.32/19.48 (~E(a8,a4)),
% 19.32/19.48 inference(scs_inference,[],[1606,568])).
% 19.32/19.48 cnf(1609,plain,
% 19.32/19.48 (~E(a8,a3)),
% 19.32/19.48 inference(scs_inference,[],[1606,568,933])).
% 19.32/19.48 cnf(1611,plain,
% 19.32/19.48 (~E(a4,a8)),
% 19.32/19.48 inference(scs_inference,[],[519,1606,568,933,303])).
% 19.32/19.48 cnf(1617,plain,
% 19.32/19.48 (~E(a3,a8)),
% 19.32/19.48 inference(scs_inference,[],[519,1606,568,933,303,25,1454,891])).
% 19.32/19.48 cnf(1622,plain,
% 19.32/19.48 (~E(x16221,a8)+~P5(x16222,x16223)+~E(x16223,x16221)),
% 19.32/19.48 inference(scs_inference,[],[519,1606,568,933,303,25,1454,891,37,1456,12])).
% 19.32/19.48 cnf(1626,plain,
% 19.32/19.48 (~E(x16261,x16262)+~P5(x16263,x16262)+~E(x16261,a8)),
% 19.32/19.48 inference(scs_inference,[],[1622,2])).
% 19.32/19.48 cnf(1628,plain,
% 19.32/19.48 (~E(x16281,x16282)+~E(x16282,x16283)+~P5(x16284,x16281)+~E(x16283,a8)),
% 19.32/19.48 inference(scs_inference,[],[1626,68])).
% 19.32/19.48 cnf(1657,plain,
% 19.32/19.48 (~E(a3,a4)),
% 19.32/19.48 inference(scs_inference,[],[148,349])).
% 19.32/19.48 cnf(1658,plain,
% 19.32/19.48 (~E(a4,a3)),
% 19.32/19.48 inference(scs_inference,[],[1657,2])).
% 19.32/19.48 cnf(1666,plain,
% 19.32/19.48 (~E(a6,a7)),
% 19.32/19.48 inference(scs_inference,[],[162,363])).
% 19.32/19.48 cnf(1667,plain,
% 19.32/19.48 (~E(a7,a6)),
% 19.32/19.48 inference(scs_inference,[],[1666,2])).
% 19.32/19.48 cnf(1678,plain,
% 19.32/19.48 (~E(a8,a7)),
% 19.32/19.48 inference(scs_inference,[],[176,376])).
% 19.32/19.48 cnf(1679,plain,
% 19.32/19.48 (~E(a7,a8)),
% 19.32/19.48 inference(scs_inference,[],[1678,2])).
% 19.32/19.48 cnf(1680,plain,
% 19.32/19.48 (~E(a8,a6)),
% 19.32/19.48 inference(scs_inference,[],[190,387])).
% 19.32/19.48 cnf(1681,plain,
% 19.32/19.48 (~E(a6,a8)),
% 19.32/19.48 inference(scs_inference,[],[191,388])).
% 19.32/19.48 cnf(1708,plain,
% 19.32/19.48 (P5(a5,a4)),
% 19.32/19.48 inference(scs_inference,[],[204,445])).
% 19.32/19.48 cnf(1709,plain,
% 19.32/19.48 (P7(a5,a4)),
% 19.32/19.48 inference(scs_inference,[],[1708,39])).
% 19.32/19.48 cnf(1725,plain,
% 19.32/19.48 (~E(a8,x17251)+~E(x17251,a7)),
% 19.32/19.48 inference(scs_inference,[],[1679,1708,1628,68])).
% 19.32/19.48 cnf(1727,plain,
% 19.32/19.48 (~E(a7,x17271)+~E(a8,x17271)),
% 19.32/19.48 inference(scs_inference,[],[1725,2])).
% 19.32/19.48 cnf(1752,plain,
% 19.32/19.48 (P5(a5,a3)),
% 19.32/19.48 inference(scs_inference,[],[210,383])).
% 19.32/19.48 cnf(1753,plain,
% 19.32/19.48 (P7(a5,a3)),
% 19.32/19.48 inference(scs_inference,[],[1752,39])).
% 19.32/19.48 cnf(1780,plain,
% 19.32/19.48 (~P7(a5,a8)+~P7(a5,a7)+~P7(a5,a6)+P4(a2)+~P8(a2)),
% 19.32/19.48 inference(scs_inference,[],[1657,1680,1667,1360,1709,1678,1753,1607,1533,931,557,1609,61])).
% 19.32/19.48 cnf(1782,plain,
% 19.32/19.48 (~E(a2,x17821)+P4(x17821)+~P7(a5,a8)+~P7(a5,a7)+~P7(a5,a6)+~P8(a2)),
% 19.32/19.48 inference(scs_inference,[],[1657,1680,1667,1360,1709,1678,1753,1607,1533,931,557,1609,61,5])).
% 19.32/19.48 cnf(1784,plain,
% 19.32/19.48 (P6(a5,a6)),
% 19.32/19.48 inference(scs_inference,[],[219,414])).
% 19.32/19.48 cnf(1785,plain,
% 19.32/19.48 (P7(a5,a6)),
% 19.32/19.48 inference(scs_inference,[],[1784,40])).
% 19.32/19.48 cnf(1790,plain,
% 19.32/19.48 (P4(x17901)+~P7(a5,a7)+~P7(a5,a8)+~E(a2,x17901)+~P8(a2)),
% 19.32/19.48 inference(scs_inference,[],[1784,40,71,1780,1782])).
% 19.32/19.48 cnf(1805,plain,
% 19.32/19.48 (P6(a5,a8)),
% 19.32/19.48 inference(scs_inference,[],[227,430])).
% 19.32/19.48 cnf(1806,plain,
% 19.32/19.48 (P7(a5,a8)),
% 19.32/19.48 inference(scs_inference,[],[1805,40])).
% 19.32/19.48 cnf(1809,plain,
% 19.32/19.48 (P4(x18091)+~E(a2,x18091)+P4(a2)+~P8(a2)),
% 19.32/19.48 inference(scs_inference,[],[1805,40,1790,244])).
% 19.32/19.48 cnf(1812,plain,
% 19.32/19.48 (P4(a2)+P4(a2)+~P8(a2)),
% 19.32/19.48 inference(equality_inference,[],[1809])).
% 19.32/19.48 cnf(1813,plain,
% 19.32/19.48 (~P8(a2)),
% 19.32/19.48 inference(scs_inference,[],[1812,26])).
% 19.32/19.48 cnf(1814,plain,
% 19.32/19.48 (E(x18141,x18142)+E(x18141,x18143)+E(x18144,x18142)+E(x18141,x18145)+E(x18142,x18143)+E(x18145,x18143)+E(x18145,x18142)+E(x18145,x18144)+E(x18141,x18144)+E(x18144,x18143)+~P7(a5,x18143)+~P7(a5,x18142)+~P7(a5,x18144)+~P7(a5,x18145)+~P7(a5,x18141)+~P4(a2)),
% 19.32/19.48 inference(scs_inference,[],[1813,62])).
% 19.32/19.48 cnf(1818,plain,
% 19.32/19.48 (P7(a5,a7)),
% 19.32/19.48 inference(scs_inference,[],[1813,261])).
% 19.32/19.48 cnf(1825,plain,
% 19.32/19.48 (P4(a2)),
% 19.32/19.48 inference(scs_inference,[],[1813,6,16])).
% 19.32/19.48 cnf(1846,plain,
% 19.32/19.48 (E(x18461,x18462)+E(x18463,x18462)+E(x18463,x18461)+E(x18463,x18464)+E(x18465,x18464)+E(x18464,x18462)+E(x18465,x18461)+E(x18465,x18462)+E(x18464,x18461)+E(x18465,x18463)+~P7(a5,x18461)+~P7(a5,x18464)+~P7(a5,x18463)+~P7(a5,x18465)+~P7(a5,x18462)),
% 19.32/19.48 inference(scs_inference,[],[1825,1814])).
% 19.32/19.48 cnf(1917,plain,
% 19.32/19.48 ($false),
% 19.32/19.48 inference(scs_inference,[],[1617,562,1611,1359,1536,1681,931,1658,1806,1709,1785,1753,1818,1666,1727,1846]),
% 19.32/19.48 ['proof']).
% 19.32/19.48 % SZS output end Proof
% 19.32/19.48 % Total time :18.790000s
%------------------------------------------------------------------------------