TSTP Solution File: KRS168+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : KRS168+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 : n011.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 0.19s 0.61s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : KRS168+1 : TPTP v8.1.2. Released v3.1.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n011.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 02:26:10 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.55 start to proof:theBenchmark
% 0.19/0.60 %-------------------------------------------
% 0.19/0.60 % File :CSE---1.6
% 0.19/0.60 % Problem :theBenchmark
% 0.19/0.60 % Transform :cnf
% 0.19/0.60 % Format :tptp:raw
% 0.19/0.60 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.60
% 0.19/0.60 % Result :Theorem 0.000000s
% 0.19/0.60 % Output :CNFRefutation 0.000000s
% 0.19/0.60 %-------------------------------------------
% 0.19/0.61 %------------------------------------------------------------------------------
% 0.19/0.61 % File : KRS168+1 : TPTP v8.1.2. Released v3.1.0.
% 0.19/0.61 % Domain : Knowledge Representation (Semantic Web)
% 0.19/0.61 % Problem : De Morgan's law
% 0.19/0.61 % Version : Especial.
% 0.19/0.61 % English :
% 0.19/0.61
% 0.19/0.61 % Refs : [Bec03] Bechhofer (2003), Email to G. Sutcliffe
% 0.19/0.61 % : [TR+04] Tsarkov et al. (2004), Using Vampire to Reason with OW
% 0.19/0.61 % Source : [Bec03]
% 0.19/0.61 % Names : positive_equivalentClass-Manifest006 [Bec03]
% 0.19/0.61
% 0.19/0.61 % Status : Theorem
% 0.19/0.61 % Rating : 0.00 v5.3.0, 0.09 v5.2.0, 0.00 v4.0.0, 0.05 v3.7.0, 0.00 v3.3.0, 0.11 v3.1.0
% 0.19/0.61 % Syntax : Number of formulae : 3 ( 0 unt; 0 def)
% 0.19/0.61 % Number of atoms : 12 ( 0 equ)
% 0.19/0.61 % Maximal formula atoms : 8 ( 4 avg)
% 0.19/0.61 % Number of connectives : 16 ( 7 ~; 1 |; 5 &)
% 0.19/0.61 % ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% 0.19/0.61 % Maximal formula depth : 7 ( 5 avg)
% 0.19/0.61 % Maximal term depth : 1 ( 1 avg)
% 0.19/0.61 % Number of predicates : 6 ( 6 usr; 0 prp; 1-1 aty)
% 0.19/0.61 % Number of functors : 0 ( 0 usr; 0 con; --- aty)
% 0.19/0.61 % Number of variables : 5 ( 5 !; 0 ?)
% 0.19/0.61 % SPC : FOF_THM_EPR_NEQ
% 0.19/0.61
% 0.19/0.61 % Comments : Sean Bechhofer says there are some errors in the encoding of
% 0.19/0.61 % datatypes, so this problem may not be perfect. At least it's
% 0.19/0.61 % still representative of the type of reasoning required for OWL.
% 0.19/0.61 %------------------------------------------------------------------------------
% 0.19/0.61 %----Thing and Nothing
% 0.19/0.61 fof(axiom_0,axiom,
% 0.19/0.61 ! [X] :
% 0.19/0.61 ( cowlThing(X)
% 0.19/0.61 & ~ cowlNothing(X) ) ).
% 0.19/0.61
% 0.19/0.61 %----String and Integer disjoint
% 0.19/0.61 fof(axiom_1,axiom,
% 0.19/0.61 ! [X] :
% 0.19/0.61 ( xsd_string(X)
% 0.19/0.61 <=> ~ xsd_integer(X) ) ).
% 0.19/0.61
% 0.19/0.61 %----Thing and Nothing
% 0.19/0.61 %----String and Integer disjoint
% 0.19/0.61 fof(the_axiom,conjecture,
% 0.19/0.61 ( ! [X] :
% 0.19/0.61 ( cowlThing(X)
% 0.19/0.61 & ~ cowlNothing(X) )
% 0.19/0.61 & ! [X] :
% 0.19/0.61 ( xsd_string(X)
% 0.19/0.61 <=> ~ xsd_integer(X) )
% 0.19/0.61 & ! [X] :
% 0.19/0.61 ( ( ~ cB(X)
% 0.19/0.61 & ~ cA(X) )
% 0.19/0.61 <=> ~ ( cA(X)
% 0.19/0.61 | cB(X) ) ) ) ).
% 0.19/0.61
% 0.19/0.61 %------------------------------------------------------------------------------
% 0.19/0.61 %-------------------------------------------
% 0.19/0.61 % Proof found
% 0.19/0.61 % SZS status Theorem for theBenchmark
% 0.19/0.61 % SZS output start Proof
% 0.19/0.61 %ClaNum:13(EqnAxiom:0)
% 0.19/0.61 %VarNum:5(SingletonVarNum:3)
% 0.19/0.61 %MaxLitNum:5
% 0.19/0.61 %MaxfuncDepth:0
% 0.19/0.61 %SharedTerms:12
% 0.19/0.61 %goalClause: 4 5 6 7 8 9
% 0.19/0.61 [1]~P1(x11)
% 0.19/0.61 [2]P5(x21)+P4(x21)
% 0.19/0.61 [3]~P5(x31)+~P4(x31)
% 0.19/0.61 [4]P1(a1)+P4(a2)+~P5(a2)+~P2(a3)
% 0.19/0.61 [5]P1(a1)+P4(a2)+~P5(a2)+~P3(a3)
% 0.19/0.61 [6]P1(a1)+P5(a2)+~P4(a2)+~P2(a3)
% 0.19/0.61 [7]P1(a1)+P5(a2)+~P4(a2)+~P3(a3)
% 0.19/0.61 [8]P1(a1)+P4(a2)+P2(a3)+P3(a3)+~P5(a2)
% 0.19/0.61 [9]P1(a1)+P5(a2)+P2(a3)+P3(a3)+~P4(a2)
% 0.19/0.61 %EqnAxiom
% 0.19/0.61
% 0.19/0.61 %-------------------------------------------
% 0.19/0.61 cnf(14,plain,
% 0.19/0.61 (~P5(a2)+~P2(a3)+P4(a2)),
% 0.19/0.61 inference(scs_inference,[],[1,4])).
% 0.19/0.61 cnf(15,plain,
% 0.19/0.61 (~P5(a2)+~P3(a3)+P4(a2)),
% 0.19/0.61 inference(scs_inference,[],[1,5])).
% 0.19/0.61 cnf(16,plain,
% 0.19/0.61 (~P4(a2)+~P2(a3)+P5(a2)),
% 0.19/0.61 inference(scs_inference,[],[1,6])).
% 0.19/0.61 cnf(17,plain,
% 0.19/0.61 (~P4(a2)+~P3(a3)+P5(a2)),
% 0.19/0.61 inference(scs_inference,[],[1,7])).
% 0.19/0.61 cnf(18,plain,
% 0.19/0.61 (P2(a3)+P3(a3)+~P5(a2)+P4(a2)),
% 0.19/0.61 inference(scs_inference,[],[1,8])).
% 0.19/0.61 cnf(19,plain,
% 0.19/0.61 (P2(a3)+P3(a3)+~P4(a2)+P5(a2)),
% 0.19/0.61 inference(scs_inference,[],[1,9])).
% 0.19/0.61 cnf(21,plain,
% 0.19/0.61 (~P5(a2)+~P2(a3)),
% 0.19/0.61 inference(scs_inference,[],[14,3])).
% 0.19/0.61 cnf(22,plain,
% 0.19/0.61 (P4(a2)+~P5(a2)+P3(a3)),
% 0.19/0.61 inference(scs_inference,[],[21,18])).
% 0.19/0.61 cnf(23,plain,
% 0.19/0.61 (~P5(a2)+~P3(a3)),
% 0.19/0.61 inference(scs_inference,[],[15,3])).
% 0.19/0.61 cnf(24,plain,
% 0.19/0.61 (P4(a2)+~P5(a2)),
% 0.19/0.61 inference(scs_inference,[],[23,22])).
% 0.19/0.61 cnf(26,plain,
% 0.19/0.61 (P5(a2)+~P3(a3)),
% 0.19/0.61 inference(scs_inference,[],[17,2])).
% 0.19/0.61 cnf(27,plain,
% 0.19/0.61 (P5(a2)+~P4(a2)+P2(a3)),
% 0.19/0.61 inference(scs_inference,[],[26,19])).
% 0.19/0.61 cnf(28,plain,
% 0.19/0.61 (~P4(a2)+P2(a3)),
% 0.19/0.61 inference(scs_inference,[],[27,3])).
% 0.19/0.61 cnf(29,plain,
% 0.19/0.61 (P5(a2)+~P4(a2)),
% 0.19/0.61 inference(scs_inference,[],[28,16])).
% 0.19/0.61 cnf(30,plain,
% 0.19/0.61 (P5(a2)),
% 0.19/0.61 inference(scs_inference,[],[29,2])).
% 0.19/0.61 cnf(33,plain,
% 0.19/0.61 (P4(a2)),
% 0.19/0.61 inference(scs_inference,[],[30,24])).
% 0.19/0.61 cnf(34,plain,
% 0.19/0.61 (~P4(a2)),
% 0.19/0.61 inference(scs_inference,[],[30,3])).
% 0.19/0.61 cnf(36,plain,
% 0.19/0.61 ($false),
% 0.19/0.61 inference(scs_inference,[],[33,34]),
% 0.19/0.61 ['proof']).
% 0.19/0.61 % SZS output end Proof
% 0.19/0.61 % Total time :0.000000s
%------------------------------------------------------------------------------