TSTP Solution File: KRS140+1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : KRS140+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 : n010.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 05:39:25 EDT 2023
% Result : Theorem 1.77s 1.83s
% Output : CNFRefutation 1.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KRS140+1 : TPTP v8.1.2. Released v3.1.0.
% 0.11/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.14/0.34 % Computer : n010.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 28 01:46:19 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 1.71/1.82 %-------------------------------------------
% 1.71/1.82 % File :CSE---1.6
% 1.71/1.82 % Problem :theBenchmark
% 1.71/1.82 % Transform :cnf
% 1.71/1.82 % Format :tptp:raw
% 1.71/1.82 % Command :java -jar mcs_scs.jar %d %s
% 1.71/1.82
% 1.71/1.83 % Result :Theorem 1.200000s
% 1.71/1.83 % Output :CNFRefutation 1.200000s
% 1.71/1.83 %-------------------------------------------
% 1.71/1.83 %------------------------------------------------------------------------------
% 1.71/1.83 % File : KRS140+1 : TPTP v8.1.2. Released v3.1.0.
% 1.71/1.83 % Domain : Knowledge Representation (Semantic Web)
% 1.71/1.83 % Problem : Test illustrating extensional semantics of owl:TransitiveProperty
% 1.71/1.83 % Version : Especial.
% 1.71/1.83 % English :
% 1.71/1.83
% 1.71/1.83 % Refs : [Bec03] Bechhofer (2003), Email to G. Sutcliffe
% 1.71/1.83 % : [TR+04] Tsarkov et al. (2004), Using Vampire to Reason with OW
% 1.71/1.83 % Source : [Bec03]
% 1.71/1.83 % Names : positive_TransitiveProperty-Manifest002 [Bec03]
% 1.71/1.83
% 1.71/1.83 % Status : Theorem
% 1.71/1.83 % Rating : 0.00 v6.1.0, 0.17 v6.0.0, 0.00 v5.5.0, 0.11 v5.4.0, 0.00 v5.3.0, 0.09 v5.2.0, 0.00 v4.1.0, 0.04 v4.0.1, 0.09 v4.0.0, 0.12 v3.7.0, 0.00 v3.1.0
% 1.71/1.83 % Syntax : Number of formulae : 15 ( 4 unt; 0 def)
% 1.71/1.83 % Number of atoms : 40 ( 8 equ)
% 1.71/1.83 % Maximal formula atoms : 9 ( 2 avg)
% 1.71/1.83 % Number of connectives : 29 ( 4 ~; 1 |; 13 &)
% 1.71/1.83 % ( 2 <=>; 9 =>; 0 <=; 0 <~>)
% 1.71/1.83 % Maximal formula depth : 9 ( 4 avg)
% 1.71/1.83 % Maximal term depth : 1 ( 1 avg)
% 1.71/1.83 % Number of predicates : 6 ( 5 usr; 0 prp; 1-2 aty)
% 1.71/1.83 % Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% 1.71/1.83 % Number of variables : 26 ( 25 !; 1 ?)
% 1.71/1.83 % SPC : FOF_THM_EPR_SEQ
% 1.71/1.83
% 1.71/1.83 % Comments : Sean Bechhofer says there are some errors in the encoding of
% 1.71/1.83 % datatypes, so this problem may not be perfect. At least it's
% 1.71/1.83 % still representative of the type of reasoning required for OWL.
% 1.71/1.83 %------------------------------------------------------------------------------
% 1.71/1.83 fof(cowlNothing_substitution_1,axiom,
% 1.71/1.83 ! [A,B] :
% 1.71/1.83 ( ( A = B
% 1.71/1.83 & cowlNothing(A) )
% 1.71/1.83 => cowlNothing(B) ) ).
% 1.71/1.83
% 1.71/1.83 fof(cowlThing_substitution_1,axiom,
% 1.71/1.83 ! [A,B] :
% 1.71/1.83 ( ( A = B
% 1.71/1.83 & cowlThing(A) )
% 1.71/1.83 => cowlThing(B) ) ).
% 1.71/1.83
% 1.71/1.83 fof(rsymProp_substitution_1,axiom,
% 1.71/1.83 ! [A,B,C] :
% 1.71/1.83 ( ( A = B
% 1.71/1.83 & rsymProp(A,C) )
% 1.71/1.83 => rsymProp(B,C) ) ).
% 1.71/1.83
% 1.71/1.83 fof(rsymProp_substitution_2,axiom,
% 1.71/1.83 ! [A,B,C] :
% 1.71/1.83 ( ( A = B
% 1.71/1.83 & rsymProp(C,A) )
% 1.71/1.83 => rsymProp(C,B) ) ).
% 1.71/1.83
% 1.71/1.83 fof(xsd_integer_substitution_1,axiom,
% 1.71/1.83 ! [A,B] :
% 1.71/1.83 ( ( A = B
% 1.71/1.83 & xsd_integer(A) )
% 1.71/1.83 => xsd_integer(B) ) ).
% 1.71/1.83
% 1.71/1.83 fof(xsd_string_substitution_1,axiom,
% 1.71/1.83 ! [A,B] :
% 1.71/1.83 ( ( A = B
% 1.71/1.83 & xsd_string(A) )
% 1.71/1.83 => xsd_string(B) ) ).
% 1.71/1.83
% 1.71/1.83 %----Thing and Nothing
% 1.71/1.83 fof(axiom_0,axiom,
% 1.71/1.83 ! [X] :
% 1.71/1.83 ( cowlThing(X)
% 1.71/1.83 & ~ cowlNothing(X) ) ).
% 1.71/1.83
% 1.71/1.83 %----String and Integer disjoint
% 1.71/1.83 fof(axiom_1,axiom,
% 1.71/1.83 ! [X] :
% 1.71/1.83 ( xsd_string(X)
% 1.71/1.83 <=> ~ xsd_integer(X) ) ).
% 1.71/1.83
% 1.71/1.83 %----Range: rsymProp
% 1.71/1.83 fof(axiom_2,axiom,
% 1.71/1.83 ! [X,Y] :
% 1.71/1.83 ( rsymProp(X,Y)
% 1.71/1.83 => ( Y = ia
% 1.71/1.83 | Y = ib ) ) ).
% 1.71/1.83
% 1.71/1.83 %----Symmetric: rsymProp
% 1.71/1.83 fof(axiom_3,axiom,
% 1.71/1.83 ! [X,Y] :
% 1.71/1.83 ( rsymProp(X,Y)
% 1.71/1.83 => rsymProp(Y,X) ) ).
% 1.71/1.83
% 1.71/1.83 %----ia
% 1.77/1.83 fof(axiom_4,axiom,
% 1.77/1.83 cowlThing(ia) ).
% 1.77/1.83
% 1.77/1.83 fof(axiom_5,axiom,
% 1.77/1.83 rsymProp(ia,ia) ).
% 1.77/1.83
% 1.77/1.83 %----ib
% 1.77/1.83 fof(axiom_6,axiom,
% 1.77/1.83 cowlThing(ib) ).
% 1.77/1.83
% 1.77/1.83 fof(axiom_7,axiom,
% 1.77/1.83 rsymProp(ib,ib) ).
% 1.77/1.83
% 1.77/1.83 %----Thing and Nothing
% 1.77/1.83 %----String and Integer disjoint
% 1.77/1.83 %----Transitive: rsymProp
% 1.77/1.83 %----ia
% 1.77/1.83 fof(the_axiom,conjecture,
% 1.77/1.83 ( ! [X] :
% 1.77/1.83 ( cowlThing(X)
% 1.77/1.83 & ~ cowlNothing(X) )
% 1.77/1.83 & ! [X] :
% 1.77/1.83 ( xsd_string(X)
% 1.77/1.83 <=> ~ xsd_integer(X) )
% 1.77/1.83 & ! [X,Y,Z] :
% 1.77/1.83 ( ( rsymProp(X,Y)
% 1.77/1.83 & rsymProp(Y,Z) )
% 1.77/1.83 => rsymProp(X,Z) )
% 1.77/1.83 & ? [X] :
% 1.77/1.83 ( rsymProp(ia,X)
% 1.77/1.83 & cowlThing(X) ) ) ).
% 1.77/1.83
% 1.77/1.83 %------------------------------------------------------------------------------
% 1.77/1.83 %-------------------------------------------
% 1.77/1.83 % Proof found
% 1.77/1.83 % SZS status Theorem for theBenchmark
% 1.77/1.83 % SZS output start Proof
% 1.77/1.83 %ClaNum:21(EqnAxiom:8)
% 1.77/1.83 %VarNum:19(SingletonVarNum:13)
% 1.77/1.83 %MaxLitNum:5
% 1.77/1.83 %MaxfuncDepth:0
% 1.77/1.83 %SharedTerms:17
% 1.77/1.83 %goalClause: 16 17 18 19 20 21
% 1.77/1.83 [9]P1(a1,a1)
% 1.77/1.83 [10]P1(a7,a7)
% 1.77/1.83 [11]~P2(x111)
% 1.77/1.83 [12]P4(x121)+P3(x121)
% 1.77/1.83 [13]~P4(x131)+~P3(x131)
% 1.77/1.83 [15]~P1(x152,x151)+P1(x151,x152)
% 1.77/1.83 [14]~P1(x142,x141)+E(x141,a7)+E(x141,a1)
% 1.77/1.83 [16]~P1(a1,x161)+P2(a2)+P3(a3)+P1(a4,a5)+~P4(a3)
% 1.77/1.83 [17]~P1(a1,x171)+P2(a2)+P3(a3)+P1(a5,a6)+~P4(a3)
% 1.77/1.83 [18]P1(a4,a5)+~P1(a1,x181)+P2(a2)+P4(a3)+~P3(a3)
% 1.77/1.83 [19]P1(a5,a6)+~P1(a1,x191)+P2(a2)+P4(a3)+~P3(a3)
% 1.77/1.83 [20]~P1(a1,x201)+P2(a2)+P3(a3)+~P4(a3)+~P1(a4,a6)
% 1.77/1.84 [21]~P1(a1,x211)+~P1(a4,a6)+P2(a2)+P4(a3)+~P3(a3)
% 1.77/1.84 %EqnAxiom
% 1.77/1.84 [1]E(x11,x11)
% 1.77/1.84 [2]E(x22,x21)+~E(x21,x22)
% 1.77/1.84 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.77/1.84 [4]P1(x42,x43)+~E(x41,x42)+~P1(x41,x43)
% 1.77/1.84 [5]P1(x53,x52)+~E(x51,x52)+~P1(x53,x51)
% 1.77/1.84 [6]~P3(x61)+P3(x62)+~E(x61,x62)
% 1.77/1.84 [7]~P2(x71)+P2(x72)+~E(x71,x72)
% 1.77/1.84 [8]~P4(x81)+P4(x82)+~E(x81,x82)
% 1.77/1.84
% 1.77/1.84 %-------------------------------------------
% 1.77/1.84 cnf(22,plain,
% 1.77/1.84 (P1(a4,a5)+~P4(a3)+P3(a3)),
% 1.77/1.84 inference(scs_inference,[],[9,11,16])).
% 1.77/1.84 cnf(23,plain,
% 1.77/1.84 (P1(a5,a6)+~P4(a3)+P3(a3)),
% 1.77/1.84 inference(scs_inference,[],[9,11,17])).
% 1.77/1.84 cnf(24,plain,
% 1.77/1.84 (P1(a4,a5)+~P3(a3)+P4(a3)),
% 1.77/1.84 inference(scs_inference,[],[9,11,18])).
% 1.77/1.84 cnf(25,plain,
% 1.77/1.84 (P1(a5,a6)+~P3(a3)+P4(a3)),
% 1.77/1.84 inference(scs_inference,[],[9,11,19])).
% 1.77/1.84 cnf(26,plain,
% 1.77/1.84 (~P1(a4,a6)+~P4(a3)+P3(a3)),
% 1.77/1.84 inference(scs_inference,[],[9,11,20])).
% 1.77/1.84 cnf(27,plain,
% 1.77/1.84 (~P1(a4,a6)+~P3(a3)+P4(a3)),
% 1.77/1.84 inference(scs_inference,[],[9,11,21])).
% 1.77/1.84 cnf(29,plain,
% 1.77/1.84 (~E(x291,x292)+E(x292,x293)+~E(x293,x291)),
% 1.77/1.84 inference(scs_inference,[],[2,3])).
% 1.77/1.84 cnf(30,plain,
% 1.77/1.84 (P1(x301,a7)+~E(a7,x301)),
% 1.77/1.84 inference(scs_inference,[],[10,15,4])).
% 1.77/1.84 cnf(32,plain,
% 1.77/1.84 (P1(x321,a1)+~E(a1,x321)),
% 1.77/1.84 inference(scs_inference,[],[9,4])).
% 1.77/1.84 cnf(39,plain,
% 1.77/1.84 (P1(a6,a5)+P4(a3)+~P3(a3)),
% 1.77/1.84 inference(scs_inference,[],[25,15])).
% 1.77/1.84 cnf(40,plain,
% 1.77/1.84 (~P1(a6,a4)+~P4(a3)+P3(a3)),
% 1.77/1.84 inference(scs_inference,[],[26,15])).
% 1.77/1.84 cnf(41,plain,
% 1.77/1.84 (~P1(a6,a4)+P4(a3)+~P3(a3)),
% 1.77/1.84 inference(scs_inference,[],[27,15])).
% 1.77/1.84 cnf(49,plain,
% 1.77/1.84 (P1(x491,a5)+~E(a6,x491)+P4(a3)+~P3(a3)),
% 1.77/1.84 inference(scs_inference,[],[39,4])).
% 1.77/1.84 cnf(51,plain,
% 1.77/1.84 (~P1(a6,x511)+~E(x511,a4)+~P4(a3)+P3(a3)),
% 1.77/1.84 inference(scs_inference,[],[40,5])).
% 1.77/1.84 cnf(53,plain,
% 1.77/1.84 (~P1(x531,a4)+~E(x531,a6)+P4(a3)+~P3(a3)),
% 1.77/1.84 inference(scs_inference,[],[41,4])).
% 1.77/1.84 cnf(60,plain,
% 1.77/1.84 (P1(x601,a4)+~E(a7,a4)+~E(a7,x601)),
% 1.77/1.84 inference(scs_inference,[],[10,5,53,4])).
% 1.77/1.84 cnf(62,plain,
% 1.77/1.84 (~E(a4,a7)+P1(a4,a4)),
% 1.77/1.84 inference(scs_inference,[],[60,2])).
% 1.77/1.84 cnf(63,plain,
% 1.77/1.84 (P1(x631,a4)+~E(a4,x631)+~E(a4,a7)),
% 1.77/1.84 inference(scs_inference,[],[62,4])).
% 1.77/1.84 cnf(64,plain,
% 1.77/1.84 (~E(x641,a4)+P1(x641,a4)+~E(a4,a7)),
% 1.77/1.84 inference(scs_inference,[],[63,2])).
% 1.77/1.84 cnf(65,plain,
% 1.77/1.84 (P1(a4,x651)+~E(x651,a4)+~E(a4,a7)),
% 1.77/1.84 inference(scs_inference,[],[64,15])).
% 1.77/1.84 cnf(66,plain,
% 1.77/1.84 (~E(a4,x661)+P1(a4,x661)+~E(a4,a7)),
% 1.77/1.84 inference(scs_inference,[],[65,2])).
% 1.77/1.84 cnf(67,plain,
% 1.77/1.84 (P1(a4,x671)+~E(x672,x671)+~E(a4,x672)+~E(a4,a7)),
% 1.77/1.84 inference(scs_inference,[],[66,5])).
% 1.77/1.84 cnf(70,plain,
% 1.77/1.84 (P1(a4,a5)+P4(a3)),
% 1.77/1.84 inference(scs_inference,[],[12,24])).
% 1.77/1.84 cnf(76,plain,
% 1.77/1.84 (P1(a4,a5)+P3(a3)),
% 1.77/1.84 inference(scs_inference,[],[12,22])).
% 1.77/1.84 cnf(80,plain,
% 1.77/1.84 (P1(a5,a6)+P4(a3)),
% 1.77/1.84 inference(scs_inference,[],[12,25])).
% 1.77/1.84 cnf(81,plain,
% 1.77/1.84 (P1(a6,a5)+P4(a3)),
% 1.77/1.84 inference(scs_inference,[],[80,15])).
% 1.77/1.84 cnf(82,plain,
% 1.77/1.84 (P1(a6,x821)+~E(a5,x821)+P4(a3)),
% 1.77/1.84 inference(scs_inference,[],[81,5])).
% 1.77/1.84 cnf(84,plain,
% 1.77/1.84 (P1(a5,a6)+P3(a3)),
% 1.77/1.84 inference(scs_inference,[],[12,23])).
% 1.77/1.84 cnf(89,plain,
% 1.77/1.84 (~P1(a4,a6)+P4(a3)),
% 1.77/1.84 inference(scs_inference,[],[12,27])).
% 1.77/1.84 cnf(90,plain,
% 1.77/1.84 (~P1(a6,a4)+P4(a3)),
% 1.77/1.84 inference(scs_inference,[],[89,15])).
% 1.77/1.84 cnf(91,plain,
% 1.77/1.84 (~E(a5,a4)+P4(a3)),
% 1.77/1.84 inference(scs_inference,[],[90,82])).
% 1.77/1.84 cnf(92,plain,
% 1.77/1.84 (~P3(a3)+~E(a5,a4)),
% 1.77/1.84 inference(scs_inference,[],[91,13])).
% 1.77/1.84 cnf(93,plain,
% 1.77/1.84 (~E(a4,a5)+~P3(a3)),
% 1.77/1.84 inference(scs_inference,[],[92,2])).
% 1.77/1.84 cnf(100,plain,
% 1.77/1.84 (~P1(a6,a4)+P3(a3)),
% 1.77/1.84 inference(scs_inference,[],[12,40])).
% 1.77/1.84 cnf(105,plain,
% 1.77/1.84 (P4(a3)+~E(a4,a5)),
% 1.77/1.84 inference(scs_inference,[],[12,93])).
% 1.77/1.84 cnf(106,plain,
% 1.77/1.84 (~E(x1061,a5)+~E(a4,x1061)+P4(a3)),
% 1.77/1.84 inference(scs_inference,[],[105,3])).
% 1.77/1.84 cnf(107,plain,
% 1.77/1.84 (~E(x1071,a4)+~E(x1071,a5)+P4(a3)),
% 1.77/1.84 inference(scs_inference,[],[106,2])).
% 1.77/1.84 cnf(108,plain,
% 1.77/1.84 (~E(a5,x1081)+~E(x1081,a4)+P4(a3)),
% 1.77/1.84 inference(scs_inference,[],[107,2])).
% 1.77/1.84 cnf(109,plain,
% 1.77/1.84 (~E(a4,x1091)+~E(a5,x1091)+P4(a3)),
% 1.77/1.84 inference(scs_inference,[],[108,2])).
% 1.77/1.84 cnf(115,plain,
% 1.77/1.84 (~E(a6,x1151)+P1(x1151,a5)+P4(a3)),
% 1.77/1.84 inference(scs_inference,[],[12,49])).
% 1.77/1.84 cnf(117,plain,
% 1.77/1.84 (~E(x1171,a4)+~P1(a6,x1171)+P3(a3)),
% 1.77/1.84 inference(scs_inference,[],[12,51])).
% 1.77/1.84 cnf(119,plain,
% 1.77/1.84 (~E(x1191,a6)+~P1(x1191,a4)+P4(a3)),
% 1.77/1.84 inference(scs_inference,[],[12,53])).
% 1.77/1.84 cnf(127,plain,
% 1.77/1.84 (~P4(a3)+P1(a4,a5)),
% 1.77/1.84 inference(scs_inference,[],[13,76])).
% 1.77/1.84 cnf(135,plain,
% 1.77/1.84 (~P4(a3)+P1(a5,a6)),
% 1.77/1.84 inference(scs_inference,[],[13,84])).
% 1.77/1.84 cnf(136,plain,
% 1.77/1.84 (P1(a6,a5)+~P4(a3)),
% 1.77/1.84 inference(scs_inference,[],[135,15])).
% 1.77/1.84 cnf(137,plain,
% 1.77/1.84 (~E(a5,a4)+~P4(a3)+P3(a3)),
% 1.77/1.84 inference(scs_inference,[],[136,117])).
% 1.77/1.84 cnf(144,plain,
% 1.77/1.84 (~P4(a3)+~P1(a6,a4)),
% 1.77/1.84 inference(scs_inference,[],[13,100])).
% 1.77/1.84 cnf(145,plain,
% 1.77/1.84 (~P1(a4,a6)+~P4(a3)),
% 1.77/1.84 inference(scs_inference,[],[144,15])).
% 1.77/1.84 cnf(154,plain,
% 1.77/1.84 (~E(x1541,x1542)+~P4(x1542)+~P3(x1541)),
% 1.77/1.84 inference(scs_inference,[],[13,6])).
% 1.77/1.84 cnf(169,plain,
% 1.77/1.84 (~P3(a3)+~E(x1691,a5)+~E(x1691,a4)),
% 1.77/1.84 inference(scs_inference,[],[13,107])).
% 1.77/1.84 cnf(170,plain,
% 1.77/1.84 (~E(a4,x1701)+~E(x1701,a5)+~P3(a3)),
% 1.77/1.84 inference(scs_inference,[],[169,2])).
% 1.77/1.84 cnf(178,plain,
% 1.77/1.84 (~E(a5,a4)+~P4(a3)),
% 1.77/1.84 inference(scs_inference,[],[13,137])).
% 1.77/1.84 cnf(179,plain,
% 1.77/1.84 (~E(a4,a5)+~P4(a3)),
% 1.77/1.84 inference(scs_inference,[],[178,2])).
% 1.77/1.84 cnf(180,plain,
% 1.77/1.84 (~E(x1801,a5)+~E(a4,x1801)+~P4(a3)),
% 1.77/1.84 inference(scs_inference,[],[179,3])).
% 1.77/1.84 cnf(181,plain,
% 1.77/1.84 (~E(x1811,a4)+~E(x1811,a5)+~P4(a3)),
% 1.77/1.84 inference(scs_inference,[],[180,2])).
% 1.77/1.84 cnf(182,plain,
% 1.77/1.84 (~E(a5,x1821)+~E(x1821,a4)+~P4(a3)),
% 1.77/1.84 inference(scs_inference,[],[181,2])).
% 1.77/1.84 cnf(183,plain,
% 1.77/1.84 (~E(a4,x1831)+~E(a5,x1831)+~P4(a3)),
% 1.77/1.84 inference(scs_inference,[],[182,2])).
% 1.77/1.84 cnf(246,plain,
% 1.77/1.84 (P1(a4,a5)),
% 1.77/1.84 inference(scs_inference,[],[70,127])).
% 1.77/1.84 cnf(247,plain,
% 1.77/1.84 (P1(a5,a4)),
% 1.77/1.84 inference(scs_inference,[],[246,15])).
% 1.77/1.84 cnf(272,plain,
% 1.77/1.84 (E(x2721,a1)+~E(x2721,a4)+E(a4,a7)),
% 1.77/1.84 inference(scs_inference,[],[247,14,5,3])).
% 1.77/1.84 cnf(282,plain,
% 1.77/1.84 (~E(a5,a1)+E(a4,a7)),
% 1.77/1.84 inference(scs_inference,[],[247,14,5,3,183,170,154,119,115,109])).
% 1.77/1.84 cnf(302,plain,
% 1.77/1.84 (P1(a7,a4)+E(a5,a1)),
% 1.77/1.84 inference(scs_inference,[],[246,247,14,4])).
% 1.77/1.84 cnf(303,plain,
% 1.77/1.84 (~E(a7,x3031)+E(x3031,a5)+E(a5,a1)),
% 1.77/1.84 inference(scs_inference,[],[246,247,14,4,29])).
% 1.77/1.84 cnf(318,plain,
% 1.77/1.84 (P1(a5,x3181)+~E(a4,x3181)),
% 1.77/1.84 inference(scs_inference,[],[247,5])).
% 1.77/1.84 cnf(325,plain,
% 1.77/1.84 (~E(a5,a1)+P1(a5,a7)),
% 1.77/1.84 inference(scs_inference,[],[282,318])).
% 1.77/1.84 cnf(327,plain,
% 1.77/1.84 (P1(a7,a4)+P1(a5,a7)),
% 1.77/1.84 inference(scs_inference,[],[302,325])).
% 1.77/1.84 cnf(332,plain,
% 1.77/1.84 (P1(a4,a7)+P1(a5,a7)),
% 1.77/1.84 inference(scs_inference,[],[327,15])).
% 1.77/1.84 cnf(338,plain,
% 1.77/1.84 (P1(a4,x3381)+~E(a7,x3381)+P1(a5,a7)),
% 1.77/1.84 inference(scs_inference,[],[332,5])).
% 1.77/1.84 cnf(340,plain,
% 1.77/1.84 (P1(a4,x3401)+~E(a5,x3401)),
% 1.77/1.84 inference(scs_inference,[],[246,5])).
% 1.77/1.84 cnf(396,plain,
% 1.77/1.84 (P1(a5,a6)),
% 1.77/1.84 inference(scs_inference,[],[80,135])).
% 1.77/1.84 cnf(397,plain,
% 1.77/1.84 (P1(a6,a5)),
% 1.77/1.84 inference(scs_inference,[],[396,15])).
% 1.77/1.84 cnf(399,plain,
% 1.77/1.84 (E(a6,a7)+E(a6,a1)),
% 1.77/1.84 inference(scs_inference,[],[396,15,14])).
% 1.77/1.84 cnf(403,plain,
% 1.77/1.84 (E(a1,a6)+E(a6,a7)),
% 1.77/1.84 inference(scs_inference,[],[399,2])).
% 1.77/1.84 cnf(410,plain,
% 1.77/1.84 (E(a7,a6)+E(a1,a6)),
% 1.77/1.84 inference(scs_inference,[],[403,2])).
% 1.77/1.84 cnf(413,plain,
% 1.77/1.84 (P1(a6,a1)+E(a7,a6)),
% 1.77/1.84 inference(scs_inference,[],[410,32])).
% 1.77/1.84 cnf(416,plain,
% 1.77/1.84 (P1(x4161,a6)+~E(a5,x4161)),
% 1.77/1.84 inference(scs_inference,[],[396,4])).
% 1.77/1.84 cnf(422,plain,
% 1.77/1.84 (P1(a1,a6)+E(a7,a6)),
% 1.77/1.84 inference(scs_inference,[],[413,15])).
% 1.77/1.84 cnf(423,plain,
% 1.77/1.84 (P1(a6,a7)+P1(a1,a6)),
% 1.77/1.84 inference(scs_inference,[],[422,30])).
% 1.77/1.84 cnf(424,plain,
% 1.77/1.84 (P1(a7,a6)+P1(a1,a6)),
% 1.77/1.84 inference(scs_inference,[],[423,15])).
% 1.77/1.84 cnf(425,plain,
% 1.77/1.84 (P1(x4251,a6)+~E(a7,x4251)+P1(a1,a6)),
% 1.77/1.84 inference(scs_inference,[],[424,4])).
% 1.77/1.84 cnf(442,plain,
% 1.77/1.84 (~P1(a4,a6)),
% 1.77/1.84 inference(scs_inference,[],[89,145])).
% 1.77/1.84 cnf(443,plain,
% 1.77/1.84 (~E(a5,a4)),
% 1.77/1.84 inference(scs_inference,[],[442,416])).
% 1.77/1.84 cnf(444,plain,
% 1.77/1.84 (~E(a5,a6)),
% 1.77/1.84 inference(scs_inference,[],[442,416,340])).
% 1.77/1.84 cnf(447,plain,
% 1.77/1.84 (~P1(a6,a4)),
% 1.77/1.84 inference(scs_inference,[],[442,416,340,338,15])).
% 1.77/1.84 cnf(451,plain,
% 1.77/1.84 (~E(a4,a7)+~E(a4,a6)),
% 1.77/1.84 inference(scs_inference,[],[442,416,340,338,15,425,66])).
% 1.77/1.84 cnf(468,plain,
% 1.77/1.84 (~E(x4681,a6)+~E(a5,x4681)),
% 1.77/1.84 inference(scs_inference,[],[444,3])).
% 1.77/1.84 cnf(471,plain,
% 1.77/1.84 (~E(a7,a6)+P1(a1,a6)),
% 1.77/1.84 inference(scs_inference,[],[396,397,444,3,14,4])).
% 1.77/1.84 cnf(488,plain,
% 1.77/1.84 (~E(a4,a5)),
% 1.77/1.84 inference(scs_inference,[],[443,2])).
% 1.77/1.84 cnf(510,plain,
% 1.77/1.84 (~E(x5101,a6)+~E(a4,a7)+~E(a4,x5101)),
% 1.77/1.84 inference(scs_inference,[],[442,67])).
% 1.77/1.84 cnf(512,plain,
% 1.77/1.84 (~E(a6,x5121)+~E(a4,a7)+~E(a4,x5121)),
% 1.77/1.84 inference(scs_inference,[],[442,67,2])).
% 1.77/1.84 cnf(515,plain,
% 1.77/1.84 (~E(x5151,a6)+E(a1,x5151)+~E(a4,a7)),
% 1.77/1.84 inference(scs_inference,[],[396,442,67,2,14,29])).
% 1.77/1.85 cnf(524,plain,
% 1.77/1.85 (~E(a6,x5241)+~E(x5241,a4)+~E(a4,a7)),
% 1.77/1.85 inference(scs_inference,[],[451,29])).
% 1.77/1.85 cnf(528,plain,
% 1.77/1.85 (P1(a1,a6)),
% 1.77/1.85 inference(scs_inference,[],[471,422])).
% 1.77/1.85 cnf(531,plain,
% 1.77/1.85 (~E(a1,a4)),
% 1.77/1.85 inference(scs_inference,[],[528,442,15,4])).
% 1.77/1.85 cnf(575,plain,
% 1.77/1.85 (~E(a6,a7)),
% 1.77/1.85 inference(scs_inference,[],[488,447,531,246,247,2,272,64,63,66,3,29,4,5,62,524,515,512])).
% 1.77/1.85 cnf(579,plain,
% 1.77/1.85 (E(a5,a1)),
% 1.77/1.85 inference(scs_inference,[],[488,447,531,246,247,2,272,64,63,66,3,29,4,5,62,524,515,512,510,303])).
% 1.77/1.85 cnf(595,plain,
% 1.77/1.85 (E(a1,a6)),
% 1.77/1.85 inference(scs_inference,[],[575,403])).
% 1.77/1.85 cnf(605,plain,
% 1.77/1.85 (~E(a1,a6)),
% 1.77/1.85 inference(scs_inference,[],[579,340,2,468])).
% 1.77/1.85 cnf(623,plain,
% 1.77/1.85 ($false),
% 1.77/1.85 inference(scs_inference,[],[605,595]),
% 1.77/1.85 ['proof']).
% 1.77/1.85 % SZS output end Proof
% 1.77/1.85 % Total time :1.200000s
%------------------------------------------------------------------------------