TSTP Solution File: KRS175+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : KRS175+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n023.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 05:39:33 EDT 2023
% Result : Theorem 1.03s 1.08s
% Output : CNFRefutation 1.03s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : KRS175+1 : TPTP v8.1.2. Released v3.1.0.
% 0.03/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35 % Computer : n023.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 : Mon Aug 28 01:48:56 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.51/0.59 start to proof:theBenchmark
% 0.57/1.07 %-------------------------------------------
% 0.57/1.07 % File :CSE---1.6
% 0.57/1.07 % Problem :theBenchmark
% 0.57/1.07 % Transform :cnf
% 0.57/1.07 % Format :tptp:raw
% 0.57/1.07 % Command :java -jar mcs_scs.jar %d %s
% 0.57/1.07
% 0.57/1.07 % Result :Theorem 0.430000s
% 0.57/1.07 % Output :CNFRefutation 0.430000s
% 0.57/1.07 %-------------------------------------------
% 0.57/1.07 %------------------------------------------------------------------------------
% 0.57/1.07 % File : KRS175+1 : TPTP v8.1.2. Released v3.1.0.
% 0.57/1.07 % Domain : Knowledge Representation (Semantic Web)
% 0.57/1.07 % Problem : An inverse to test unionOf-003
% 0.57/1.07 % Version : Especial.
% 0.57/1.07 % English :
% 0.57/1.07
% 0.57/1.07 % Refs : [Bec03] Bechhofer (2003), Email to G. Sutcliffe
% 0.57/1.07 % : [TR+04] Tsarkov et al. (2004), Using Vampire to Reason with OW
% 0.57/1.07 % Source : [Bec03]
% 0.57/1.07 % Names : positive_unionOf-Manifest004 [Bec03]
% 0.57/1.07
% 0.57/1.07 % Status : Theorem
% 0.57/1.07 % Rating : 0.00 v5.4.0, 0.11 v5.3.0, 0.09 v5.2.0, 0.00 v4.1.0, 0.09 v4.0.1, 0.13 v4.0.0, 0.12 v3.7.0, 0.00 v3.1.0
% 0.57/1.07 % Syntax : Number of formulae : 15 ( 2 unt; 0 def)
% 0.57/1.07 % Number of atoms : 43 ( 11 equ)
% 0.57/1.07 % Maximal formula atoms : 9 ( 2 avg)
% 0.57/1.07 % Number of connectives : 32 ( 4 ~; 2 |; 13 &)
% 0.57/1.07 % ( 6 <=>; 7 =>; 0 <=; 0 <~>)
% 0.57/1.07 % Maximal formula depth : 7 ( 4 avg)
% 0.57/1.07 % Maximal term depth : 1 ( 1 avg)
% 0.57/1.07 % Number of predicates : 8 ( 7 usr; 0 prp; 1-2 aty)
% 0.57/1.07 % Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% 0.57/1.07 % Number of variables : 22 ( 22 !; 0 ?)
% 0.57/1.07 % SPC : FOF_THM_EPR_SEQ
% 0.57/1.07
% 0.57/1.07 % Comments : Sean Bechhofer says there are some errors in the encoding of
% 0.57/1.07 % datatypes, so this problem may not be perfect. At least it's
% 0.57/1.07 % still representative of the type of reasoning required for OWL.
% 0.57/1.07 %------------------------------------------------------------------------------
% 0.57/1.07 fof(cA_substitution_1,axiom,
% 0.57/1.07 ! [A,B] :
% 0.57/1.07 ( ( A = B
% 0.57/1.07 & cA(A) )
% 0.57/1.07 => cA(B) ) ).
% 0.57/1.07
% 0.57/1.07 fof(cA_and_B_substitution_1,axiom,
% 0.57/1.07 ! [A,B] :
% 0.57/1.07 ( ( A = B
% 0.57/1.07 & cA_and_B(A) )
% 0.57/1.07 => cA_and_B(B) ) ).
% 0.57/1.07
% 0.57/1.07 fof(cB_substitution_1,axiom,
% 0.57/1.07 ! [A,B] :
% 0.57/1.07 ( ( A = B
% 0.57/1.07 & cB(A) )
% 0.57/1.07 => cB(B) ) ).
% 0.57/1.07
% 0.57/1.07 fof(cowlNothing_substitution_1,axiom,
% 0.57/1.07 ! [A,B] :
% 0.57/1.07 ( ( A = B
% 0.57/1.07 & cowlNothing(A) )
% 0.57/1.07 => cowlNothing(B) ) ).
% 0.57/1.07
% 0.57/1.07 fof(cowlThing_substitution_1,axiom,
% 0.57/1.07 ! [A,B] :
% 0.57/1.07 ( ( A = B
% 0.57/1.07 & cowlThing(A) )
% 0.57/1.07 => cowlThing(B) ) ).
% 0.57/1.07
% 0.57/1.07 fof(xsd_integer_substitution_1,axiom,
% 0.57/1.07 ! [A,B] :
% 0.57/1.07 ( ( A = B
% 0.57/1.07 & xsd_integer(A) )
% 0.57/1.07 => xsd_integer(B) ) ).
% 0.57/1.07
% 0.57/1.07 fof(xsd_string_substitution_1,axiom,
% 0.57/1.07 ! [A,B] :
% 0.57/1.07 ( ( A = B
% 0.57/1.07 & xsd_string(A) )
% 0.57/1.07 => xsd_string(B) ) ).
% 0.57/1.07
% 0.57/1.07 %----Thing and Nothing
% 0.57/1.07 fof(axiom_0,axiom,
% 0.57/1.07 ! [X] :
% 0.57/1.07 ( cowlThing(X)
% 0.57/1.07 & ~ cowlNothing(X) ) ).
% 0.57/1.07
% 0.57/1.07 %----String and Integer disjoint
% 0.57/1.07 fof(axiom_1,axiom,
% 0.57/1.07 ! [X] :
% 0.57/1.07 ( xsd_string(X)
% 0.57/1.07 <=> ~ xsd_integer(X) ) ).
% 0.57/1.07
% 0.57/1.07 %----Enumeration cA
% 0.57/1.07 fof(axiom_2,axiom,
% 0.57/1.07 ! [X] :
% 0.57/1.07 ( cA(X)
% 0.57/1.07 <=> X = ia ) ).
% 0.57/1.07
% 0.57/1.07 %----Equality cA_and_B
% 0.57/1.07 fof(axiom_3,axiom,
% 0.57/1.07 ! [X] :
% 0.57/1.07 ( cA_and_B(X)
% 0.57/1.07 <=> ( cA(X)
% 1.03/1.07 | cB(X) ) ) ).
% 1.03/1.07
% 1.03/1.07 %----Enumeration cB
% 1.03/1.07 fof(axiom_4,axiom,
% 1.03/1.07 ! [X] :
% 1.03/1.07 ( cB(X)
% 1.03/1.07 <=> X = ib ) ).
% 1.03/1.07
% 1.03/1.07 %----ia
% 1.03/1.07 fof(axiom_5,axiom,
% 1.03/1.07 cowlThing(ia) ).
% 1.03/1.07
% 1.03/1.07 %----ib
% 1.03/1.07 fof(axiom_6,axiom,
% 1.03/1.07 cowlThing(ib) ).
% 1.03/1.07
% 1.03/1.07 %----Thing and Nothing
% 1.03/1.07 %----String and Integer disjoint
% 1.03/1.07 %----Enumeration cA_and_B
% 1.03/1.07 %----ia
% 1.03/1.08 %----ib
% 1.03/1.08 fof(the_axiom,conjecture,
% 1.03/1.08 ( ! [X] :
% 1.03/1.08 ( cowlThing(X)
% 1.03/1.08 & ~ cowlNothing(X) )
% 1.03/1.08 & ! [X] :
% 1.03/1.08 ( xsd_string(X)
% 1.03/1.08 <=> ~ xsd_integer(X) )
% 1.03/1.08 & ! [X] :
% 1.03/1.08 ( cA_and_B(X)
% 1.03/1.08 <=> ( X = ib
% 1.03/1.08 | X = ia ) )
% 1.03/1.08 & cowlThing(ia)
% 1.03/1.08 & cowlThing(ib) ) ).
% 1.03/1.08
% 1.03/1.08 %------------------------------------------------------------------------------
% 1.03/1.08 %-------------------------------------------
% 1.03/1.08 % Proof found
% 1.03/1.08 % SZS status Theorem for theBenchmark
% 1.03/1.08 % SZS output start Proof
% 1.03/1.08 %ClaNum:25(EqnAxiom:9)
% 1.03/1.08 %VarNum:20(SingletonVarNum:10)
% 1.03/1.08 %MaxLitNum:6
% 1.03/1.08 %MaxfuncDepth:0
% 1.03/1.08 %SharedTerms:16
% 1.03/1.08 %goalClause: 19 20 22 23 24 25
% 1.03/1.08 [10]~P1(x101)
% 1.03/1.08 [11]P2(x111)+~E(x111,a1)
% 1.03/1.08 [12]P3(x121)+~E(x121,a5)
% 1.03/1.08 [13]~P2(x131)+E(x131,a1)
% 1.03/1.08 [14]~P3(x141)+E(x141,a5)
% 1.03/1.08 [15]P6(x151)+P5(x151)
% 1.03/1.08 [16]~P2(x161)+P4(x161)
% 1.03/1.08 [17]~P3(x171)+P4(x171)
% 1.03/1.08 [18]~P6(x181)+~P5(x181)
% 1.03/1.08 [21]P3(x211)+~P4(x211)+P2(x211)
% 1.03/1.08 [22]P1(a3)+P5(a4)+~E(a2,a1)+~P4(a2)+~P6(a4)
% 1.03/1.08 [23]P1(a3)+P5(a4)+~E(a2,a5)+~P4(a2)+~P6(a4)
% 1.03/1.08 [24]~E(a2,a1)+P1(a3)+P6(a4)+~P4(a2)+~P5(a4)
% 1.03/1.08 [25]~E(a2,a5)+P1(a3)+P6(a4)+~P4(a2)+~P5(a4)
% 1.03/1.08 [19]E(a2,a1)+E(a2,a5)+P4(a2)+P1(a3)+P5(a4)+~P6(a4)
% 1.03/1.08 [20]E(a2,a1)+E(a2,a5)+P4(a2)+P1(a3)+P6(a4)+~P5(a4)
% 1.03/1.08 %EqnAxiom
% 1.03/1.08 [1]E(x11,x11)
% 1.03/1.08 [2]E(x22,x21)+~E(x21,x22)
% 1.03/1.08 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.03/1.08 [4]~P1(x41)+P1(x42)+~E(x41,x42)
% 1.03/1.08 [5]~P2(x51)+P2(x52)+~E(x51,x52)
% 1.03/1.08 [6]~P3(x61)+P3(x62)+~E(x61,x62)
% 1.03/1.08 [7]~P6(x71)+P6(x72)+~E(x71,x72)
% 1.03/1.08 [8]~P4(x81)+P4(x82)+~E(x81,x82)
% 1.03/1.08 [9]~P5(x91)+P5(x92)+~E(x91,x92)
% 1.03/1.08
% 1.03/1.08 %-------------------------------------------
% 1.03/1.08 cnf(26,plain,
% 1.03/1.08 (E(a2,a1)+E(a2,a5)+P5(a4)+~P6(a4)+P4(a2)),
% 1.03/1.08 inference(scs_inference,[],[10,19])).
% 1.03/1.08 cnf(27,plain,
% 1.03/1.08 (E(a2,a1)+E(a2,a5)+P6(a4)+~P5(a4)+P4(a2)),
% 1.03/1.08 inference(scs_inference,[],[10,20])).
% 1.03/1.08 cnf(28,plain,
% 1.03/1.08 (~E(a2,a1)+~P4(a2)+~P6(a4)+P5(a4)),
% 1.03/1.08 inference(scs_inference,[],[10,22])).
% 1.03/1.08 cnf(29,plain,
% 1.03/1.08 (~E(a2,a5)+~P4(a2)+~P6(a4)+P5(a4)),
% 1.03/1.08 inference(scs_inference,[],[10,23])).
% 1.03/1.08 cnf(30,plain,
% 1.03/1.08 (~E(a2,a1)+~P4(a2)+~P5(a4)+P6(a4)),
% 1.03/1.08 inference(scs_inference,[],[10,24])).
% 1.03/1.08 cnf(31,plain,
% 1.03/1.08 (~E(a2,a5)+~P4(a2)+~P5(a4)+P6(a4)),
% 1.03/1.08 inference(scs_inference,[],[10,25])).
% 1.03/1.08 cnf(38,plain,
% 1.03/1.08 (E(a1,x381)+~P2(x381)),
% 1.03/1.08 inference(scs_inference,[],[2,13])).
% 1.03/1.08 cnf(58,plain,
% 1.03/1.08 (~E(a2,a1)+P5(a4)+~P4(a2)),
% 1.03/1.08 inference(scs_inference,[],[15,28])).
% 1.03/1.08 cnf(65,plain,
% 1.03/1.08 (~E(a2,a1)+~P4(a2)+P6(a4)),
% 1.03/1.08 inference(scs_inference,[],[15,30])).
% 1.03/1.08 cnf(66,plain,
% 1.03/1.08 (~P2(a2)+P6(a4)+~P4(a2)),
% 1.03/1.08 inference(scs_inference,[],[65,13])).
% 1.03/1.08 cnf(67,plain,
% 1.03/1.08 (~P2(a2)+P6(a4)),
% 1.03/1.08 inference(scs_inference,[],[66,16])).
% 1.03/1.08 cnf(76,plain,
% 1.03/1.08 (~E(a2,a5)+~P4(a2)+P5(a4)),
% 1.03/1.08 inference(scs_inference,[],[15,29])).
% 1.03/1.08 cnf(77,plain,
% 1.03/1.08 (~P3(a2)+P5(a4)+~P4(a2)),
% 1.03/1.08 inference(scs_inference,[],[76,14])).
% 1.03/1.08 cnf(78,plain,
% 1.03/1.08 (~P3(a2)+P5(a4)),
% 1.03/1.08 inference(scs_inference,[],[77,17])).
% 1.03/1.08 cnf(89,plain,
% 1.03/1.08 (E(a2,a1)+E(a2,a5)+P5(a4)+P4(a2)),
% 1.03/1.08 inference(scs_inference,[],[15,26])).
% 1.03/1.08 cnf(90,plain,
% 1.03/1.08 (~E(a2,a5)+P6(a4)+~P4(a2)),
% 1.03/1.08 inference(scs_inference,[],[15,31])).
% 1.03/1.08 cnf(100,plain,
% 1.03/1.08 (E(a2,a1)+E(a2,a5)+P6(a4)+P4(a2)),
% 1.03/1.08 inference(scs_inference,[],[15,27])).
% 1.03/1.08 cnf(109,plain,
% 1.03/1.08 (~P2(a2)+~E(a2,a1)+P5(a4)),
% 1.03/1.08 inference(scs_inference,[],[16,58])).
% 1.03/1.08 cnf(110,plain,
% 1.03/1.08 (~E(a1,a2)+P5(a4)+~P2(a2)),
% 1.03/1.08 inference(scs_inference,[],[109,2])).
% 1.03/1.08 cnf(111,plain,
% 1.03/1.08 (~P2(a2)+P5(a4)),
% 1.03/1.08 inference(scs_inference,[],[110,38])).
% 1.03/1.08 cnf(112,plain,
% 1.03/1.08 (~P6(a4)+~P2(a2)),
% 1.03/1.08 inference(scs_inference,[],[111,18])).
% 1.03/1.08 cnf(139,plain,
% 1.03/1.08 (~P3(a2)+~E(a2,a5)+P6(a4)),
% 1.03/1.08 inference(scs_inference,[],[17,90])).
% 1.03/1.08 cnf(140,plain,
% 1.03/1.08 (~P3(a2)+P6(a4)),
% 1.03/1.08 inference(scs_inference,[],[139,14])).
% 1.03/1.08 cnf(141,plain,
% 1.03/1.08 (~P5(a4)+~P3(a2)),
% 1.03/1.08 inference(scs_inference,[],[140,18])).
% 1.03/1.08 cnf(186,plain,
% 1.03/1.08 (~P6(a4)+E(a2,a1)+E(a2,a5)+P4(a2)),
% 1.03/1.08 inference(scs_inference,[],[18,89])).
% 1.03/1.08 cnf(187,plain,
% 1.03/1.08 (~P5(a4)+E(a2,a5)+E(a2,a1)+P4(a2)),
% 1.03/1.08 inference(scs_inference,[],[18,100])).
% 1.03/1.08 cnf(196,plain,
% 1.03/1.08 (~P4(a2)+P3(a2)+P6(a4)),
% 1.03/1.08 inference(scs_inference,[],[67,21])).
% 1.03/1.08 cnf(197,plain,
% 1.03/1.08 (~P5(a4)+P3(a2)+~P4(a2)),
% 1.03/1.08 inference(scs_inference,[],[196,18])).
% 1.03/1.08 cnf(198,plain,
% 1.03/1.08 (E(a2,a5)+E(a2,a1)+P3(a2)+~P5(a4)),
% 1.03/1.08 inference(scs_inference,[],[197,187])).
% 1.03/1.08 cnf(199,plain,
% 1.03/1.08 (~P2(a2)),
% 1.03/1.08 inference(scs_inference,[],[67,112])).
% 1.03/1.08 cnf(200,plain,
% 1.03/1.08 (~E(a2,a1)),
% 1.03/1.08 inference(scs_inference,[],[199,11])).
% 1.03/1.08 cnf(216,plain,
% 1.03/1.08 (E(a2,a5)+~P6(a4)+P4(a2)),
% 1.03/1.08 inference(scs_inference,[],[200,186])).
% 1.03/1.08 cnf(218,plain,
% 1.03/1.08 (E(a2,a5)+P3(a2)+~P5(a4)),
% 1.03/1.08 inference(scs_inference,[],[200,198])).
% 1.03/1.08 cnf(243,plain,
% 1.03/1.08 (~P3(a2)),
% 1.03/1.08 inference(scs_inference,[],[78,141])).
% 1.03/1.08 cnf(244,plain,
% 1.03/1.08 (E(a2,a5)+~P5(a4)),
% 1.03/1.08 inference(scs_inference,[],[243,218])).
% 1.03/1.08 cnf(254,plain,
% 1.03/1.08 ($false),
% 1.03/1.08 inference(scs_inference,[],[243,199,12,244,15,216,2,21]),
% 1.03/1.08 ['proof']).
% 1.03/1.08 % SZS output end Proof
% 1.03/1.08 % Total time :0.430000s
%------------------------------------------------------------------------------