TSTP Solution File: PHI012+1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : PHI012+1 : TPTP v8.1.2. Released v7.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n002.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 12:54:39 EDT 2023
% Result : Theorem 0.54s 0.66s
% Output : CNFRefutation 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PHI012+1 : TPTP v8.1.2. Released v7.2.0.
% 0.03/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.33 % Computer : n002.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun Aug 27 09:09:18 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.57 start to proof:theBenchmark
% 0.54/0.65 %-------------------------------------------
% 0.54/0.65 % File :CSE---1.6
% 0.54/0.65 % Problem :theBenchmark
% 0.54/0.65 % Transform :cnf
% 0.54/0.65 % Format :tptp:raw
% 0.54/0.65 % Command :java -jar mcs_scs.jar %d %s
% 0.54/0.65
% 0.54/0.65 % Result :Theorem 0.020000s
% 0.54/0.65 % Output :CNFRefutation 0.020000s
% 0.54/0.65 %-------------------------------------------
% 0.54/0.65 %------------------------------------------------------------------------------
% 0.54/0.65 % File : PHI012+1 : TPTP v8.1.2. Released v7.2.0.
% 0.54/0.65 % Domain : Philosophy
% 0.54/0.65 % Problem : Lemma for Anselm's ontological argument
% 0.54/0.65 % Version : [Wol16] axioms.
% 0.54/0.65 % English :
% 0.54/0.65
% 0.54/0.65 % Refs : [OZ11] Oppenheimer & Zalta (2011), A Computationally-Discover
% 0.54/0.65 % : [Wol16] Woltzenlogel Paleo (2016), Email to Geoff Sutcliffe
% 0.54/0.65 % Source : [Wol16]
% 0.54/0.65 % Names : lemma2.p [Wol16]
% 0.54/0.65
% 0.54/0.65 % Status : Theorem
% 0.54/0.65 % Rating : 0.06 v8.1.0, 0.03 v7.2.0
% 0.54/0.65 % Syntax : Number of formulae : 3 ( 0 unt; 0 def)
% 0.54/0.65 % Number of atoms : 18 ( 2 equ)
% 0.54/0.65 % Maximal formula atoms : 7 ( 6 avg)
% 0.54/0.65 % Number of connectives : 16 ( 1 ~; 2 |; 7 &)
% 0.54/0.65 % ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% 0.54/0.65 % Maximal formula depth : 9 ( 8 avg)
% 0.54/0.65 % Maximal term depth : 1 ( 1 avg)
% 0.54/0.65 % Number of predicates : 4 ( 3 usr; 0 prp; 1-3 aty)
% 0.54/0.65 % Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% 0.54/0.65 % Number of variables : 7 ( 4 !; 3 ?)
% 0.54/0.65 % SPC : FOF_THM_RFO_SEQ
% 0.54/0.65
% 0.54/0.65 % Comments : See http://mally.stanford.edu/cm/ontological-argument/
% 0.54/0.65 %------------------------------------------------------------------------------
% 0.54/0.65 fof(definition_none_greater,axiom,
% 0.54/0.65 ! [X] :
% 0.54/0.66 ( object(X)
% 0.54/0.66 => ( exemplifies_property(none_greater,X)
% 0.54/0.66 <=> ( exemplifies_property(conceivable,X)
% 0.54/0.66 & ~ ? [Y] :
% 0.54/0.66 ( object(Y)
% 0.54/0.66 & exemplifies_relation(greater_than,Y,X)
% 0.54/0.66 & exemplifies_property(conceivable,Y) ) ) ) ) ).
% 0.54/0.66
% 0.54/0.66 fof(connectedness_of_greater_than,axiom,
% 0.54/0.66 ! [X,Y] :
% 0.54/0.66 ( ( object(X)
% 0.54/0.66 & object(Y) )
% 0.54/0.66 => ( exemplifies_relation(greater_than,X,Y)
% 0.54/0.66 | exemplifies_relation(greater_than,Y,X)
% 0.54/0.66 | X = Y ) ) ).
% 0.54/0.66
% 0.54/0.66 fof(lemma_2,conjecture,
% 0.54/0.66 ( ? [X] :
% 0.54/0.66 ( object(X)
% 0.54/0.66 & exemplifies_property(none_greater,X) )
% 0.54/0.66 => ? [X] :
% 0.54/0.66 ( object(X)
% 0.54/0.66 & exemplifies_property(none_greater,X)
% 0.54/0.66 & ! [Y] :
% 0.54/0.66 ( object(Y)
% 0.54/0.66 => ( exemplifies_property(none_greater,Y)
% 0.54/0.66 => Y = X ) ) ) ) ).
% 0.54/0.66
% 0.54/0.66 %------------------------------------------------------------------------------
% 0.54/0.66 %-------------------------------------------
% 0.54/0.66 % Proof found
% 0.54/0.66 % SZS status Theorem for theBenchmark
% 0.54/0.66 % SZS output start Proof
% 0.54/0.66 %ClaNum:22(EqnAxiom:11)
% 0.54/0.66 %VarNum:40(SingletonVarNum:11)
% 0.54/0.66 %MaxLitNum:5
% 0.54/0.66 %MaxfuncDepth:1
% 0.54/0.66 %SharedTerms:6
% 0.54/0.66 %goalClause: 12 13 14 15 17
% 0.54/0.66 %singleGoalClaCount:2
% 0.54/0.66 [12]P1(a1)
% 0.54/0.66 [13]P2(a4,a1)
% 0.54/0.66 [16]~P1(x161)+~P2(a4,x161)+P2(a2,x161)
% 0.54/0.66 [14]~P1(x141)+~P2(a4,x141)+~E(f5(x141),x141)
% 0.54/0.66 [15]~P1(x151)+~P2(a4,x151)+P1(f5(x151))
% 0.54/0.66 [17]~P1(x171)+~P2(a4,x171)+P2(a4,f5(x171))
% 0.54/0.66 [18]~P1(x181)+P2(a4,x181)+~P2(a2,x181)+P1(f3(x181))
% 0.54/0.66 [19]~P1(x191)+~P2(a2,x191)+P2(a4,x191)+P2(a2,f3(x191))
% 0.54/0.66 [20]~P1(x201)+~P2(a2,x201)+P2(a4,x201)+P3(a6,f3(x201),x201)
% 0.54/0.66 [21]~P1(x212)+~P1(x211)+E(x211,x212)+P3(a6,x212,x211)+P3(a6,x211,x212)
% 0.54/0.66 [22]~P1(x221)+~P1(x222)+~P3(a6,x222,x221)+~P2(a4,x221)+~P2(a2,x222)
% 0.54/0.66 %EqnAxiom
% 0.54/0.66 [1]E(x11,x11)
% 0.54/0.66 [2]E(x22,x21)+~E(x21,x22)
% 0.54/0.66 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.54/0.66 [4]~E(x41,x42)+E(f5(x41),f5(x42))
% 0.54/0.66 [5]~E(x51,x52)+E(f3(x51),f3(x52))
% 0.54/0.66 [6]~P1(x61)+P1(x62)+~E(x61,x62)
% 0.54/0.66 [7]P2(x72,x73)+~E(x71,x72)+~P2(x71,x73)
% 0.54/0.66 [8]P2(x83,x82)+~E(x81,x82)+~P2(x83,x81)
% 0.54/0.66 [9]P3(x92,x93,x94)+~E(x91,x92)+~P3(x91,x93,x94)
% 0.54/0.66 [10]P3(x103,x102,x104)+~E(x101,x102)+~P3(x103,x101,x104)
% 0.54/0.66 [11]P3(x113,x114,x112)+~E(x111,x112)+~P3(x113,x114,x111)
% 0.54/0.66
% 0.54/0.66 %-------------------------------------------
% 0.54/0.66 cnf(23,plain,
% 0.54/0.66 (P2(a2,a1)),
% 0.54/0.66 inference(scs_inference,[],[12,13,16])).
% 0.54/0.66 cnf(24,plain,
% 0.54/0.66 (~E(f5(a1),a1)),
% 0.54/0.66 inference(scs_inference,[],[12,13,16,14])).
% 0.54/0.66 cnf(25,plain,
% 0.54/0.66 (~P3(a6,a1,a1)),
% 0.54/0.66 inference(scs_inference,[],[12,13,16,14,22])).
% 0.54/0.66 cnf(28,plain,
% 0.54/0.66 (P2(a4,f5(a1))),
% 0.54/0.66 inference(scs_inference,[],[12,13,16,14,22,2,11,17])).
% 0.54/0.66 cnf(30,plain,
% 0.54/0.66 (P1(f5(a1))),
% 0.54/0.66 inference(scs_inference,[],[12,13,16,14,22,2,11,17,15])).
% 0.54/0.66 cnf(32,plain,
% 0.54/0.66 (P3(a6,f5(a1),a1)+P3(a6,a1,f5(a1))),
% 0.54/0.66 inference(scs_inference,[],[12,13,16,14,22,2,11,17,15,21])).
% 0.54/0.66 cnf(40,plain,
% 0.54/0.66 (~E(f5(f5(a1)),f5(a1))),
% 0.54/0.66 inference(scs_inference,[],[25,30,28,17,15,10,14])).
% 0.54/0.66 cnf(58,plain,
% 0.54/0.66 (~P3(a6,a1,f5(a1))),
% 0.54/0.66 inference(scs_inference,[],[23,24,40,28,30,12,3,2,22])).
% 0.54/0.66 cnf(63,plain,
% 0.54/0.66 (P3(a6,f5(a1),a1)),
% 0.54/0.66 inference(scs_inference,[],[58,32])).
% 0.54/0.66 cnf(71,plain,
% 0.54/0.66 ($false),
% 0.54/0.66 inference(scs_inference,[],[63,13,28,30,12,16,22]),
% 0.54/0.66 ['proof']).
% 0.54/0.66 % SZS output end Proof
% 0.54/0.66 % Total time :0.020000s
%------------------------------------------------------------------------------