TSTP Solution File: KRS172+1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : KRS172+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 : 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 : Thu Aug 31 05:39:32 EDT 2023
% Result : Theorem 1.08s 1.18s
% Output : CNFRefutation 1.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS172+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 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 : Mon Aug 28 01:21:23 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.21/0.58 start to proof:theBenchmark
% 1.08/1.17 %-------------------------------------------
% 1.08/1.17 % File :CSE---1.6
% 1.08/1.17 % Problem :theBenchmark
% 1.08/1.17 % Transform :cnf
% 1.08/1.17 % Format :tptp:raw
% 1.08/1.17 % Command :java -jar mcs_scs.jar %d %s
% 1.08/1.17
% 1.08/1.17 % Result :Theorem 0.540000s
% 1.08/1.17 % Output :CNFRefutation 0.540000s
% 1.08/1.17 %-------------------------------------------
% 1.08/1.18 %------------------------------------------------------------------------------
% 1.08/1.18 % File : KRS172+1 : TPTP v8.1.2. Released v3.1.0.
% 1.08/1.18 % Domain : Knowledge Representation (Semantic Web)
% 1.08/1.18 % Problem : The same property extension means equivalentProperty
% 1.08/1.18 % Version : Especial.
% 1.08/1.18 % English : If p and q have the same property extension then p
% 1.08/1.18 % equivalentProperty q.
% 1.08/1.18
% 1.08/1.18 % Refs : [Bec03] Bechhofer (2003), Email to G. Sutcliffe
% 1.08/1.18 % : [TR+04] Tsarkov et al. (2004), Using Vampire to Reason with OW
% 1.08/1.18 % Source : [Bec03]
% 1.08/1.18 % Names : positive_equivalentProperty-Manifest004 [Bec03]
% 1.08/1.18
% 1.08/1.18 % Status : Theorem
% 1.08/1.18 % Rating : 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 v3.2.0, 0.11 v3.1.0
% 1.08/1.18 % Syntax : Number of formulae : 19 ( 1 unt; 0 def)
% 1.08/1.18 % Number of atoms : 52 ( 11 equ)
% 1.08/1.18 % Maximal formula atoms : 6 ( 2 avg)
% 1.08/1.18 % Number of connectives : 37 ( 4 ~; 0 |; 15 &)
% 1.08/1.18 % ( 5 <=>; 13 =>; 0 <=; 0 <~>)
% 1.08/1.18 % Maximal formula depth : 6 ( 5 avg)
% 1.08/1.18 % Maximal term depth : 1 ( 1 avg)
% 1.08/1.18 % Number of predicates : 8 ( 7 usr; 0 prp; 1-2 aty)
% 1.08/1.18 % Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% 1.08/1.18 % Number of variables : 40 ( 40 !; 0 ?)
% 1.08/1.18 % SPC : FOF_THM_EPR_SEQ
% 1.08/1.18
% 1.08/1.18 % Comments : Sean Bechhofer says there are some errors in the encoding of
% 1.08/1.18 % datatypes, so this problem may not be perfect. At least it's
% 1.08/1.18 % still representative of the type of reasoning required for OWL.
% 1.08/1.18 %------------------------------------------------------------------------------
% 1.08/1.18 fof(cd_substitution_1,axiom,
% 1.08/1.18 ! [A,B] :
% 1.08/1.18 ( ( A = B
% 1.08/1.18 & cd(A) )
% 1.08/1.18 => cd(B) ) ).
% 1.08/1.18
% 1.08/1.18 fof(cowlNothing_substitution_1,axiom,
% 1.08/1.18 ! [A,B] :
% 1.08/1.18 ( ( A = B
% 1.08/1.18 & cowlNothing(A) )
% 1.08/1.18 => cowlNothing(B) ) ).
% 1.08/1.18
% 1.08/1.18 fof(cowlThing_substitution_1,axiom,
% 1.08/1.18 ! [A,B] :
% 1.08/1.18 ( ( A = B
% 1.08/1.18 & cowlThing(A) )
% 1.08/1.18 => cowlThing(B) ) ).
% 1.08/1.18
% 1.08/1.18 fof(rp_substitution_1,axiom,
% 1.08/1.18 ! [A,B,C] :
% 1.08/1.18 ( ( A = B
% 1.08/1.18 & rp(A,C) )
% 1.08/1.18 => rp(B,C) ) ).
% 1.08/1.18
% 1.08/1.18 fof(rp_substitution_2,axiom,
% 1.08/1.18 ! [A,B,C] :
% 1.08/1.18 ( ( A = B
% 1.08/1.18 & rp(C,A) )
% 1.08/1.18 => rp(C,B) ) ).
% 1.08/1.18
% 1.08/1.18 fof(rq_substitution_1,axiom,
% 1.08/1.18 ! [A,B,C] :
% 1.08/1.18 ( ( A = B
% 1.08/1.18 & rq(A,C) )
% 1.08/1.18 => rq(B,C) ) ).
% 1.08/1.18
% 1.08/1.18 fof(rq_substitution_2,axiom,
% 1.08/1.18 ! [A,B,C] :
% 1.08/1.18 ( ( A = B
% 1.08/1.18 & rq(C,A) )
% 1.08/1.18 => rq(C,B) ) ).
% 1.08/1.18
% 1.08/1.18 fof(xsd_integer_substitution_1,axiom,
% 1.08/1.18 ! [A,B] :
% 1.08/1.18 ( ( A = B
% 1.08/1.18 & xsd_integer(A) )
% 1.08/1.18 => xsd_integer(B) ) ).
% 1.08/1.18
% 1.08/1.18 fof(xsd_string_substitution_1,axiom,
% 1.08/1.18 ! [A,B] :
% 1.08/1.18 ( ( A = B
% 1.08/1.18 & xsd_string(A) )
% 1.08/1.18 => xsd_string(B) ) ).
% 1.08/1.18
% 1.08/1.18 %----Thing and Nothing
% 1.08/1.18 fof(axiom_0,axiom,
% 1.08/1.18 ! [X] :
% 1.08/1.18 ( cowlThing(X)
% 1.08/1.18 & ~ cowlNothing(X) ) ).
% 1.08/1.18
% 1.08/1.18 %----String and Integer disjoint
% 1.08/1.18 fof(axiom_1,axiom,
% 1.08/1.18 ! [X] :
% 1.08/1.18 ( xsd_string(X)
% 1.08/1.18 <=> ~ xsd_integer(X) ) ).
% 1.08/1.18
% 1.08/1.18 %----Equality cd
% 1.08/1.18 fof(axiom_2,axiom,
% 1.08/1.18 ! [X] :
% 1.08/1.18 ( cd(X)
% 1.08/1.18 <=> rq(X,iv) ) ).
% 1.08/1.18
% 1.08/1.18 %----Equality cd
% 1.08/1.18 fof(axiom_3,axiom,
% 1.08/1.18 ! [X] :
% 1.08/1.18 ( cd(X)
% 1.08/1.18 <=> rp(X,iv) ) ).
% 1.08/1.18
% 1.08/1.18 %----Functional: rp
% 1.08/1.18 fof(axiom_4,axiom,
% 1.08/1.18 ! [X,Y,Z] :
% 1.08/1.18 ( ( rp(X,Y)
% 1.08/1.18 & rp(X,Z) )
% 1.08/1.18 => Y = Z ) ).
% 1.08/1.18
% 1.08/1.18 %----Domain: rp
% 1.08/1.18 fof(axiom_5,axiom,
% 1.08/1.18 ! [X,Y] :
% 1.08/1.18 ( rp(X,Y)
% 1.08/1.18 => cd(X) ) ).
% 1.08/1.18
% 1.08/1.18 %----Functional: rq
% 1.08/1.18 fof(axiom_6,axiom,
% 1.08/1.18 ! [X,Y,Z] :
% 1.08/1.18 ( ( rq(X,Y)
% 1.08/1.18 & rq(X,Z) )
% 1.08/1.18 => Y = Z ) ).
% 1.08/1.18
% 1.08/1.18 %----Domain: rq
% 1.08/1.18 fof(axiom_7,axiom,
% 1.08/1.18 ! [X,Y] :
% 1.08/1.18 ( rq(X,Y)
% 1.08/1.18 => cd(X) ) ).
% 1.08/1.18
% 1.08/1.18 %----iv
% 1.08/1.18 fof(axiom_8,axiom,
% 1.08/1.18 cowlThing(iv) ).
% 1.08/1.18
% 1.08/1.18 %----Thing and Nothing
% 1.08/1.18 %----String and Integer disjoint
% 1.08/1.18 fof(the_axiom,conjecture,
% 1.08/1.18 ( ! [X] :
% 1.08/1.18 ( cowlThing(X)
% 1.08/1.18 & ~ cowlNothing(X) )
% 1.08/1.18 & ! [X] :
% 1.08/1.18 ( xsd_string(X)
% 1.08/1.18 <=> ~ xsd_integer(X) )
% 1.08/1.18 & ! [X,Y] :
% 1.08/1.18 ( rq(X,Y)
% 1.08/1.18 <=> rp(X,Y) ) ) ).
% 1.08/1.18
% 1.08/1.18 %------------------------------------------------------------------------------
% 1.08/1.18 %-------------------------------------------
% 1.08/1.18 % Proof found
% 1.08/1.18 % SZS status Theorem for theBenchmark
% 1.08/1.18 % SZS output start Proof
% 1.08/1.18 %ClaNum:26(EqnAxiom:11)
% 1.08/1.18 %VarNum:27(SingletonVarNum:15)
% 1.08/1.18 %MaxLitNum:5
% 1.08/1.18 %MaxfuncDepth:0
% 1.08/1.18 %SharedTerms:14
% 1.08/1.18 %goalClause: 21 22 23 24
% 1.08/1.18 [12]~P1(x121)
% 1.08/1.18 [13]P6(x131)+P3(x131)
% 1.08/1.18 [14]~P6(x141)+~P3(x141)
% 1.08/1.18 [15]~P2(x151)+P4(x151,a1)
% 1.08/1.18 [16]~P2(x161)+P5(x161,a1)
% 1.08/1.18 [19]P2(x191)+~P4(x191,x192)
% 1.08/1.18 [20]P2(x201)+~P5(x201,x202)
% 1.08/1.18 [25]~P4(x253,x251)+E(x251,x252)+~P4(x253,x252)
% 1.08/1.18 [26]~P5(x263,x261)+E(x261,x262)+~P5(x263,x262)
% 1.08/1.18 [21]P1(a2)+P3(a3)+P4(a4,a5)+P5(a4,a5)+~P6(a3)
% 1.08/1.18 [22]P4(a4,a5)+P5(a4,a5)+P1(a2)+P6(a3)+~P3(a3)
% 1.08/1.18 [23]P1(a2)+P3(a3)+~P6(a3)+~P4(a4,a5)+~P5(a4,a5)
% 1.08/1.18 [24]~P4(a4,a5)+~P5(a4,a5)+P1(a2)+P6(a3)+~P3(a3)
% 1.08/1.18 %EqnAxiom
% 1.08/1.18 [1]E(x11,x11)
% 1.08/1.18 [2]E(x22,x21)+~E(x21,x22)
% 1.08/1.18 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.08/1.18 [4]~P1(x41)+P1(x42)+~E(x41,x42)
% 1.08/1.18 [5]~P3(x51)+P3(x52)+~E(x51,x52)
% 1.08/1.18 [6]~P6(x61)+P6(x62)+~E(x61,x62)
% 1.08/1.18 [7]P5(x72,x73)+~E(x71,x72)+~P5(x71,x73)
% 1.08/1.18 [8]P5(x83,x82)+~E(x81,x82)+~P5(x83,x81)
% 1.08/1.18 [9]P4(x92,x93)+~E(x91,x92)+~P4(x91,x93)
% 1.08/1.18 [10]P4(x103,x102)+~E(x101,x102)+~P4(x103,x101)
% 1.08/1.18 [11]~P2(x111)+P2(x112)+~E(x111,x112)
% 1.08/1.18
% 1.08/1.18 %-------------------------------------------
% 1.08/1.18 cnf(27,plain,
% 1.08/1.18 (P4(a4,a5)+P5(a4,a5)+~P6(a3)+P3(a3)),
% 1.08/1.18 inference(scs_inference,[],[12,21])).
% 1.08/1.18 cnf(28,plain,
% 1.08/1.18 (P4(a4,a5)+P5(a4,a5)+~P3(a3)+P6(a3)),
% 1.08/1.18 inference(scs_inference,[],[12,22])).
% 1.08/1.18 cnf(29,plain,
% 1.08/1.18 (~P4(a4,a5)+~P5(a4,a5)+~P6(a3)+P3(a3)),
% 1.08/1.18 inference(scs_inference,[],[12,23])).
% 1.08/1.18 cnf(30,plain,
% 1.08/1.18 (~P4(a4,a5)+~P5(a4,a5)+~P3(a3)+P6(a3)),
% 1.08/1.18 inference(scs_inference,[],[12,24])).
% 1.08/1.18 cnf(32,plain,
% 1.08/1.18 (~P4(x321,x322)+P4(x321,a1)),
% 1.08/1.18 inference(scs_inference,[],[15,19])).
% 1.08/1.18 cnf(33,plain,
% 1.08/1.18 (~P5(x331,x332)+P5(x331,a1)),
% 1.08/1.18 inference(scs_inference,[],[16,20])).
% 1.08/1.18 cnf(37,plain,
% 1.08/1.18 (~P5(x371,x372)+~E(x371,x373)+P5(x373,a1)),
% 1.08/1.18 inference(scs_inference,[],[33,7])).
% 1.08/1.18 cnf(45,plain,
% 1.08/1.18 (P5(x451,x452)+~P2(x451)+~E(a1,x452)),
% 1.08/1.18 inference(scs_inference,[],[8,16])).
% 1.08/1.18 cnf(47,plain,
% 1.08/1.18 (P4(x471,x472)+~P2(x471)+~E(a1,x472)),
% 1.08/1.18 inference(scs_inference,[],[10,15])).
% 1.08/1.18 cnf(49,plain,
% 1.08/1.18 (~P4(x491,x492)+~P4(x491,x493)+E(x492,a1)),
% 1.08/1.18 inference(scs_inference,[],[25,32])).
% 1.08/1.18 cnf(50,plain,
% 1.08/1.18 (~P5(x501,x502)+~P5(x501,x503)+E(x502,a1)),
% 1.08/1.18 inference(scs_inference,[],[26,33])).
% 1.08/1.18 cnf(61,plain,
% 1.08/1.18 (P4(a4,a5)+P5(a4,a5)+P3(a3)),
% 1.08/1.18 inference(scs_inference,[],[13,27])).
% 1.08/1.18 cnf(62,plain,
% 1.08/1.18 (P4(a4,a5)+E(a5,a1)+P3(a3)),
% 1.08/1.18 inference(scs_inference,[],[61,50])).
% 1.08/1.18 cnf(63,plain,
% 1.08/1.18 (E(a5,a1)+P3(a3)),
% 1.08/1.18 inference(scs_inference,[],[62,49])).
% 1.08/1.18 cnf(64,plain,
% 1.08/1.18 (E(a1,a5)+P3(a3)),
% 1.08/1.18 inference(scs_inference,[],[63,2])).
% 1.08/1.18 cnf(65,plain,
% 1.08/1.18 (~P6(a3)+E(a1,a5)),
% 1.08/1.18 inference(scs_inference,[],[64,14])).
% 1.08/1.18 cnf(66,plain,
% 1.08/1.18 (E(a5,a1)+~P6(a3)),
% 1.08/1.18 inference(scs_inference,[],[65,2])).
% 1.08/1.18 cnf(74,plain,
% 1.08/1.18 (P5(a4,a5)+P4(a4,a5)+P6(a3)),
% 1.08/1.18 inference(scs_inference,[],[13,28])).
% 1.08/1.18 cnf(82,plain,
% 1.08/1.18 (~P5(a4,a5)+~P4(a4,a5)+P6(a3)),
% 1.08/1.18 inference(scs_inference,[],[13,30])).
% 1.08/1.18 cnf(83,plain,
% 1.08/1.18 (~P2(a4)+~P5(a4,a5)+~E(a1,a5)+P6(a3)),
% 1.08/1.18 inference(scs_inference,[],[82,47])).
% 1.08/1.18 cnf(95,plain,
% 1.08/1.18 (~P5(a4,a5)+~P4(a4,a5)+P3(a3)),
% 1.08/1.18 inference(scs_inference,[],[13,29])).
% 1.08/1.18 cnf(109,plain,
% 1.08/1.18 (~P3(a3)+P4(a4,a5)+P5(a4,a5)),
% 1.08/1.18 inference(scs_inference,[],[14,74])).
% 1.08/1.18 cnf(119,plain,
% 1.08/1.18 (~P6(a3)+~P4(a4,a5)+~P5(a4,a5)),
% 1.08/1.18 inference(scs_inference,[],[14,95])).
% 1.08/1.18 cnf(120,plain,
% 1.08/1.18 (~P4(a4,x1201)+~E(x1201,a5)+~P5(a4,a5)+~P6(a3)),
% 1.08/1.18 inference(scs_inference,[],[119,10])).
% 1.08/1.18 cnf(137,plain,
% 1.08/1.18 (~P5(x1371,x1372)+P4(x1371,a1)),
% 1.08/1.18 inference(scs_inference,[],[15,20])).
% 1.08/1.18 cnf(138,plain,
% 1.08/1.18 (~P5(x1381,x1382)+~E(x1381,x1383)+P4(x1383,a1)),
% 1.08/1.18 inference(scs_inference,[],[137,7])).
% 1.08/1.18 cnf(156,plain,
% 1.08/1.18 (~P2(a4)+~E(a1,a5)+~P5(a4,a5)+~P6(a3)),
% 1.08/1.18 inference(scs_inference,[],[15,120])).
% 1.08/1.19 cnf(181,plain,
% 1.08/1.19 (~P4(x1811,x1812)+P2(x1813)+~E(x1811,x1813)),
% 1.08/1.19 inference(scs_inference,[],[19,9])).
% 1.08/1.19 cnf(185,plain,
% 1.08/1.19 (P2(a4)+P5(a4,a5)+P3(a3)),
% 1.08/1.19 inference(scs_inference,[],[19,61])).
% 1.08/1.19 cnf(186,plain,
% 1.08/1.19 (~E(a4,x1861)+P5(x1861,a1)+P3(a3)+P2(a4)),
% 1.08/1.19 inference(scs_inference,[],[185,37])).
% 1.08/1.19 cnf(187,plain,
% 1.08/1.19 (P5(a4,a1)+P3(a3)+P2(a4)),
% 1.08/1.19 inference(equality_inference,[],[186])).
% 1.08/1.19 cnf(188,plain,
% 1.08/1.19 (~E(a4,x1881)+P4(x1881,a1)+P2(a4)+P3(a3)),
% 1.08/1.19 inference(scs_inference,[],[187,138])).
% 1.08/1.19 cnf(189,plain,
% 1.08/1.19 (P4(a4,a1)+P2(a4)+P3(a3)),
% 1.08/1.19 inference(equality_inference,[],[188])).
% 1.08/1.19 cnf(190,plain,
% 1.08/1.19 (~E(a4,x1901)+P2(x1901)+P3(a3)+P2(a4)),
% 1.08/1.19 inference(scs_inference,[],[189,181])).
% 1.08/1.19 cnf(191,plain,
% 1.08/1.19 (P2(a4)+P3(a3)+P2(a4)),
% 1.08/1.19 inference(equality_inference,[],[190])).
% 1.08/1.19 cnf(192,plain,
% 1.08/1.19 (P2(a4)+P3(a3)),
% 1.08/1.19 inference(factoring_inference,[],[191])).
% 1.08/1.19 cnf(197,plain,
% 1.08/1.19 (~P6(a3)+P2(a4)),
% 1.08/1.19 inference(scs_inference,[],[192,14])).
% 1.08/1.19 cnf(220,plain,
% 1.08/1.19 (P4(a4,a5)+P5(a4,a5)+P2(a4)),
% 1.08/1.19 inference(scs_inference,[],[192,109])).
% 1.08/1.19 cnf(258,plain,
% 1.08/1.19 (~E(a1,a5)+~P5(a4,a5)+~P6(a3)),
% 1.08/1.19 inference(scs_inference,[],[197,156])).
% 1.08/1.19 cnf(259,plain,
% 1.08/1.19 (~E(a5,a1)+~P5(a4,a5)+~P6(a3)),
% 1.08/1.19 inference(scs_inference,[],[258,2])).
% 1.08/1.19 cnf(260,plain,
% 1.08/1.19 (~P5(x2601,a5)+~E(x2601,a4)+~P6(a3)+~E(a5,a1)),
% 1.08/1.19 inference(scs_inference,[],[259,7])).
% 1.08/1.19 cnf(261,plain,
% 1.08/1.19 (~P4(x2611,x2612)+P5(x2611,x2613)+~E(a1,x2613)),
% 1.08/1.19 inference(scs_inference,[],[19,45])).
% 1.08/1.19 cnf(291,plain,
% 1.08/1.19 (P5(a4,a5)+P2(a4)),
% 1.08/1.19 inference(scs_inference,[],[19,220])).
% 1.08/1.19 cnf(292,plain,
% 1.08/1.19 (P2(a4)),
% 1.08/1.19 inference(scs_inference,[],[291,20])).
% 1.08/1.19 cnf(293,plain,
% 1.08/1.19 (~E(a1,a5)+~P5(a4,a5)+P6(a3)),
% 1.08/1.19 inference(scs_inference,[],[292,83])).
% 1.08/1.19 cnf(295,plain,
% 1.08/1.19 (P4(a4,a1)),
% 1.08/1.19 inference(scs_inference,[],[292,15])).
% 1.08/1.19 cnf(297,plain,
% 1.08/1.19 (P5(a4,a1)),
% 1.08/1.19 inference(scs_inference,[],[292,15,16])).
% 1.08/1.19 cnf(299,plain,
% 1.08/1.19 (P5(a4,x2991)+~E(a1,x2991)),
% 1.08/1.19 inference(scs_inference,[],[292,15,16,8])).
% 1.08/1.19 cnf(301,plain,
% 1.08/1.19 (P4(a4,x3011)+~E(a1,x3011)),
% 1.08/1.19 inference(scs_inference,[],[292,15,16,8,11,10])).
% 1.08/1.19 cnf(353,plain,
% 1.08/1.19 (~E(a5,a1)+~P5(a4,a5)+P6(a3)),
% 1.08/1.19 inference(scs_inference,[],[293,2])).
% 1.08/1.19 cnf(359,plain,
% 1.08/1.19 (~E(a5,a1)+~E(a1,a5)+P6(a3)),
% 1.08/1.19 inference(scs_inference,[],[353,299])).
% 1.08/1.19 cnf(363,plain,
% 1.08/1.19 (~E(a5,a1)+P6(a3)),
% 1.08/1.19 inference(scs_inference,[],[359,2])).
% 1.08/1.19 cnf(364,plain,
% 1.08/1.19 (~P4(a4,a5)+P6(a3)),
% 1.08/1.19 inference(scs_inference,[],[295,363,49])).
% 1.08/1.19 cnf(365,plain,
% 1.08/1.19 (~E(a1,a5)+P6(a3)),
% 1.08/1.19 inference(scs_inference,[],[364,301])).
% 1.08/1.19 cnf(366,plain,
% 1.08/1.19 (~P5(a4,a5)+P6(a3)),
% 1.08/1.19 inference(scs_inference,[],[297,365,26])).
% 1.08/1.19 cnf(367,plain,
% 1.08/1.19 (P4(a4,a5)+P6(a3)),
% 1.08/1.19 inference(scs_inference,[],[366,74])).
% 1.08/1.19 cnf(368,plain,
% 1.08/1.19 (P6(a3)),
% 1.08/1.19 inference(scs_inference,[],[367,364])).
% 1.08/1.19 cnf(370,plain,
% 1.08/1.19 (E(a5,a1)),
% 1.08/1.19 inference(scs_inference,[],[368,66])).
% 1.08/1.19 cnf(394,plain,
% 1.08/1.19 (~E(a5,a1)+~E(x3941,a4)+~P5(x3941,a5)),
% 1.08/1.19 inference(scs_inference,[],[368,260])).
% 1.08/1.19 cnf(411,plain,
% 1.08/1.19 (~P3(a3)),
% 1.08/1.19 inference(scs_inference,[],[368,14])).
% 1.08/1.19 cnf(449,plain,
% 1.08/1.19 (E(a1,a5)),
% 1.08/1.19 inference(scs_inference,[],[411,64])).
% 1.08/1.19 cnf(460,plain,
% 1.08/1.19 (~P4(a4,a5)+~P5(a4,a5)),
% 1.08/1.19 inference(scs_inference,[],[411,95])).
% 1.08/1.19 cnf(494,plain,
% 1.08/1.19 (~P5(x4941,a5)+~E(x4941,a4)),
% 1.08/1.19 inference(scs_inference,[],[370,394])).
% 1.08/1.19 cnf(503,plain,
% 1.08/1.19 ($false),
% 1.08/1.19 inference(scs_inference,[],[449,295,301,261,494,460]),
% 1.08/1.19 ['proof']).
% 1.08/1.19 % SZS output end Proof
% 1.08/1.19 % Total time :0.540000s
%------------------------------------------------------------------------------