TSTP Solution File: KRS170+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : KRS170+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 : n015.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 05:39:31 EDT 2023
% Result : Theorem 0.21s 0.68s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS170+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35 % Computer : n015.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 02:14:54 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.58 start to proof:theBenchmark
% 0.21/0.67 %-------------------------------------------
% 0.21/0.67 % File :CSE---1.6
% 0.21/0.67 % Problem :theBenchmark
% 0.21/0.67 % Transform :cnf
% 0.21/0.67 % Format :tptp:raw
% 0.21/0.67 % Command :java -jar mcs_scs.jar %d %s
% 0.21/0.67
% 0.21/0.67 % Result :Theorem 0.040000s
% 0.21/0.67 % Output :CNFRefutation 0.040000s
% 0.21/0.67 %-------------------------------------------
% 0.21/0.67 %------------------------------------------------------------------------------
% 0.21/0.67 % File : KRS170+1 : TPTP v8.1.2. Released v3.1.0.
% 0.21/0.68 % Domain : Knowledge Representation (Semantic Web)
% 0.21/0.68 % Problem : Deduction from hasLeader
% 0.21/0.68 % Version : Especial.
% 0.21/0.68 % English : A reasoner can also deduce that hasLeader is a subProperty of
% 0.21/0.68 % hasHead and hasHead is a subProperty of hasLeader.
% 0.21/0.68
% 0.21/0.68 % Refs : [Bec03] Bechhofer (2003), Email to G. Sutcliffe
% 0.21/0.68 % : [TR+04] Tsarkov et al. (2004), Using Vampire to Reason with OW
% 0.21/0.68 % Source : [Bec03]
% 0.21/0.68 % Names : positive_equivalentProperty-Manifest002 [Bec03]
% 0.21/0.68
% 0.21/0.68 % Status : Theorem
% 0.21/0.68 % Rating : 0.00 v5.3.0, 0.09 v5.2.0, 0.00 v3.1.0
% 0.21/0.68 % Syntax : Number of formulae : 4 ( 0 unt; 0 def)
% 0.21/0.68 % Number of atoms : 14 ( 0 equ)
% 0.21/0.68 % Maximal formula atoms : 8 ( 3 avg)
% 0.21/0.68 % Number of connectives : 14 ( 4 ~; 0 |; 5 &)
% 0.21/0.68 % ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% 0.21/0.68 % Maximal formula depth : 7 ( 5 avg)
% 0.21/0.68 % Maximal term depth : 1 ( 1 avg)
% 0.21/0.68 % Number of predicates : 6 ( 6 usr; 0 prp; 1-2 aty)
% 0.21/0.68 % Number of functors : 0 ( 0 usr; 0 con; --- aty)
% 0.21/0.68 % Number of variables : 10 ( 10 !; 0 ?)
% 0.21/0.68 % SPC : FOF_THM_EPR_NEQ
% 0.21/0.68
% 0.21/0.68 % Comments : Sean Bechhofer says there are some errors in the encoding of
% 0.21/0.68 % datatypes, so this problem may not be perfect. At least it's
% 0.21/0.68 % still representative of the type of reasoning required for OWL.
% 0.21/0.68 %------------------------------------------------------------------------------
% 0.21/0.68 %----Thing and Nothing
% 0.21/0.68 fof(axiom_0,axiom,
% 0.21/0.68 ! [X] :
% 0.21/0.68 ( cowlThing(X)
% 0.21/0.68 & ~ cowlNothing(X) ) ).
% 0.21/0.68
% 0.21/0.68 %----String and Integer disjoint
% 0.21/0.68 fof(axiom_1,axiom,
% 0.21/0.68 ! [X] :
% 0.21/0.68 ( xsd_string(X)
% 0.21/0.68 <=> ~ xsd_integer(X) ) ).
% 0.21/0.68
% 0.21/0.68 fof(axiom_2,axiom,
% 0.21/0.68 ! [X,Y] :
% 0.21/0.68 ( rhasLeader(X,Y)
% 0.21/0.68 <=> rhasHead(X,Y) ) ).
% 0.21/0.68
% 0.21/0.68 %----Thing and Nothing
% 0.21/0.68 %----String and Integer disjoint
% 0.21/0.68 fof(the_axiom,conjecture,
% 0.21/0.68 ( ! [X] :
% 0.21/0.68 ( cowlThing(X)
% 0.21/0.68 & ~ cowlNothing(X) )
% 0.21/0.68 & ! [X] :
% 0.21/0.68 ( xsd_string(X)
% 0.21/0.68 <=> ~ xsd_integer(X) )
% 0.21/0.68 & ! [X,Y] :
% 0.21/0.68 ( rhasLeader(X,Y)
% 0.21/0.68 => rhasHead(X,Y) )
% 0.21/0.68 & ! [X,Y] :
% 0.21/0.68 ( rhasHead(X,Y)
% 0.21/0.68 => rhasLeader(X,Y) ) ) ).
% 0.21/0.68
% 0.21/0.68 %------------------------------------------------------------------------------
% 0.21/0.68 %-------------------------------------------
% 0.21/0.68 % Proof found
% 0.21/0.68 % SZS status Theorem for theBenchmark
% 0.21/0.68 % SZS output start Proof
% 0.21/0.68 %ClaNum:13(EqnAxiom:0)
% 0.21/0.68 %VarNum:13(SingletonVarNum:7)
% 0.21/0.68 %MaxLitNum:5
% 0.21/0.68 %MaxfuncDepth:0
% 0.21/0.68 %SharedTerms:15
% 0.21/0.68 %goalClause: 4 5 8 9 10 11 12 13
% 0.21/0.68 [1]~P1(x11)
% 0.21/0.68 [2]P3(x21)+P2(x21)
% 0.21/0.68 [3]~P3(x31)+~P2(x31)
% 0.21/0.68 [6]~P5(x61,x62)+P4(x61,x62)
% 0.21/0.68 [7]~P4(x71,x72)+P5(x71,x72)
% 0.21/0.68 [4]P1(a1)+P2(a2)+P4(a3,a4)+P5(a5,a6)+~P3(a2)
% 0.21/0.68 [5]P4(a3,a4)+P5(a5,a6)+P1(a1)+P3(a2)+~P2(a2)
% 0.21/0.68 [8]P4(a3,a4)+P1(a1)+P2(a2)+~P3(a2)+~P4(a5,a6)
% 0.21/0.68 [9]P5(a5,a6)+P1(a1)+P2(a2)+~P3(a2)+~P5(a3,a4)
% 0.21/0.68 [10]P4(a3,a4)+~P4(a5,a6)+P1(a1)+P3(a2)+~P2(a2)
% 0.21/0.68 [11]P5(a5,a6)+~P5(a3,a4)+P1(a1)+P3(a2)+~P2(a2)
% 0.21/0.68 [12]~P4(a5,a6)+~P5(a3,a4)+P1(a1)+P2(a2)+~P3(a2)
% 0.21/0.68 [13]~P4(a5,a6)+~P5(a3,a4)+P1(a1)+P3(a2)+~P2(a2)
% 0.21/0.68 %EqnAxiom
% 0.21/0.68
% 0.21/0.68 %-------------------------------------------
% 0.21/0.68 cnf(14,plain,
% 0.21/0.68 (P4(a3,a4)+P5(a5,a6)+~P3(a2)+P2(a2)),
% 0.21/0.68 inference(scs_inference,[],[1,4])).
% 0.21/0.68 cnf(15,plain,
% 0.21/0.68 (P4(a3,a4)+P5(a5,a6)+~P2(a2)+P3(a2)),
% 0.21/0.68 inference(scs_inference,[],[1,5])).
% 0.21/0.68 cnf(16,plain,
% 0.21/0.68 (P4(a3,a4)+~P4(a5,a6)+~P3(a2)+P2(a2)),
% 0.21/0.68 inference(scs_inference,[],[1,8])).
% 0.21/0.68 cnf(17,plain,
% 0.21/0.68 (P5(a5,a6)+~P5(a3,a4)+~P3(a2)+P2(a2)),
% 0.21/0.68 inference(scs_inference,[],[1,9])).
% 0.21/0.68 cnf(18,plain,
% 0.21/0.68 (P4(a3,a4)+~P4(a5,a6)+~P2(a2)+P3(a2)),
% 0.21/0.68 inference(scs_inference,[],[1,10])).
% 0.21/0.68 cnf(19,plain,
% 0.21/0.68 (P5(a5,a6)+~P5(a3,a4)+~P2(a2)+P3(a2)),
% 0.21/0.68 inference(scs_inference,[],[1,11])).
% 0.21/0.68 cnf(20,plain,
% 0.21/0.68 (~P4(a5,a6)+~P5(a3,a4)+~P3(a2)+P2(a2)),
% 0.21/0.68 inference(scs_inference,[],[1,12])).
% 0.21/0.68 cnf(21,plain,
% 0.21/0.68 (~P4(a5,a6)+~P5(a3,a4)+~P2(a2)+P3(a2)),
% 0.21/0.68 inference(scs_inference,[],[1,13])).
% 0.21/0.68 cnf(25,plain,
% 0.21/0.68 (P5(a5,a6)+P4(a3,a4)+P3(a2)),
% 0.21/0.68 inference(scs_inference,[],[2,15])).
% 0.21/0.68 cnf(26,plain,
% 0.21/0.68 (P5(a3,a4)+P5(a5,a6)+P3(a2)),
% 0.21/0.68 inference(scs_inference,[],[25,7])).
% 0.21/0.68 cnf(27,plain,
% 0.21/0.68 (P4(a5,a6)+P3(a2)+P5(a3,a4)),
% 0.21/0.68 inference(scs_inference,[],[26,6])).
% 0.21/0.68 cnf(28,plain,
% 0.21/0.68 (P4(a3,a4)+P3(a2)+P4(a5,a6)),
% 0.21/0.68 inference(scs_inference,[],[27,6])).
% 0.21/0.68 cnf(29,plain,
% 0.21/0.68 (P4(a3,a4)+P3(a2)+~P2(a2)),
% 0.21/0.68 inference(scs_inference,[],[28,18])).
% 0.21/0.68 cnf(30,plain,
% 0.21/0.68 (P5(a3,a4)+~P2(a2)+P3(a2)),
% 0.21/0.68 inference(scs_inference,[],[29,7])).
% 0.21/0.68 cnf(31,plain,
% 0.21/0.68 (P5(a5,a6)+~P2(a2)+P3(a2)),
% 0.21/0.68 inference(scs_inference,[],[30,19])).
% 0.21/0.68 cnf(32,plain,
% 0.21/0.68 (~P2(a2)+P5(a5,a6)),
% 0.21/0.68 inference(scs_inference,[],[31,3])).
% 0.21/0.68 cnf(33,plain,
% 0.21/0.68 (P4(a5,a6)+~P2(a2)),
% 0.21/0.68 inference(scs_inference,[],[32,6])).
% 0.21/0.68 cnf(34,plain,
% 0.21/0.68 (~P5(a3,a4)+~P2(a2)+P3(a2)),
% 0.21/0.68 inference(scs_inference,[],[33,21])).
% 0.21/0.68 cnf(35,plain,
% 0.21/0.68 (~P4(a3,a4)+P3(a2)+~P2(a2)),
% 0.21/0.68 inference(scs_inference,[],[34,7])).
% 0.21/0.68 cnf(36,plain,
% 0.21/0.68 (P3(a2)+~P4(a3,a4)),
% 0.21/0.68 inference(scs_inference,[],[35,2])).
% 0.21/0.68 cnf(41,plain,
% 0.21/0.68 (P4(a3,a4)+~P4(a5,a6)+P2(a2)),
% 0.21/0.68 inference(scs_inference,[],[2,16])).
% 0.21/0.68 cnf(42,plain,
% 0.21/0.68 (P5(a3,a4)+~P4(a5,a6)+P2(a2)),
% 0.21/0.68 inference(scs_inference,[],[41,7])).
% 0.21/0.68 cnf(43,plain,
% 0.21/0.68 (~P5(a5,a6)+P5(a3,a4)+P2(a2)),
% 0.21/0.68 inference(scs_inference,[],[42,6])).
% 0.21/0.68 cnf(44,plain,
% 0.21/0.69 (P4(a3,a4)+P2(a2)+~P5(a5,a6)),
% 0.21/0.69 inference(scs_inference,[],[43,6])).
% 0.21/0.69 cnf(48,plain,
% 0.21/0.69 (P4(a3,a4)+P3(a2)),
% 0.21/0.69 inference(scs_inference,[],[2,29])).
% 0.21/0.69 cnf(49,plain,
% 0.21/0.69 (P3(a2)),
% 0.21/0.69 inference(scs_inference,[],[48,36])).
% 0.21/0.69 cnf(50,plain,
% 0.21/0.69 (P4(a3,a4)+P5(a5,a6)+P2(a2)),
% 0.21/0.69 inference(scs_inference,[],[49,14])).
% 0.21/0.69 cnf(51,plain,
% 0.21/0.69 (P5(a5,a6)+~P5(a3,a4)+P2(a2)),
% 0.21/0.69 inference(scs_inference,[],[49,17])).
% 0.21/0.69 cnf(52,plain,
% 0.21/0.69 (~P5(a3,a4)+~P4(a5,a6)+P2(a2)),
% 0.21/0.69 inference(scs_inference,[],[49,20])).
% 0.21/0.69 cnf(54,plain,
% 0.21/0.69 (~P2(a2)),
% 0.21/0.69 inference(scs_inference,[],[49,3])).
% 0.21/0.69 cnf(56,plain,
% 0.21/0.69 (P4(a3,a4)+~P5(a5,a6)),
% 0.21/0.69 inference(scs_inference,[],[49,3,44])).
% 0.21/0.69 cnf(62,plain,
% 0.21/0.69 (P4(a3,a4)),
% 0.21/0.69 inference(scs_inference,[],[54,56,50])).
% 0.21/0.69 cnf(63,plain,
% 0.21/0.69 (P5(a5,a6)+~P5(a3,a4)),
% 0.21/0.69 inference(scs_inference,[],[54,51])).
% 0.21/0.69 cnf(64,plain,
% 0.21/0.69 (~P4(a5,a6)+~P5(a3,a4)),
% 0.21/0.69 inference(scs_inference,[],[54,52])).
% 0.21/0.69 cnf(70,plain,
% 0.21/0.69 ($false),
% 0.21/0.69 inference(scs_inference,[],[62,7,64,63,6]),
% 0.21/0.69 ['proof']).
% 0.21/0.69 % SZS output end Proof
% 0.21/0.69 % Total time :0.040000s
%------------------------------------------------------------------------------