TSTP Solution File: SYN069+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SYN069+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/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 : Fri Sep 1 01:44:01 EDT 2023
% Result : Theorem 0.21s 0.62s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN069+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n015.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 : Sat Aug 26 18:39:23 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.21/0.56 start to proof:theBenchmark
% 0.21/0.61 %-------------------------------------------
% 0.21/0.61 % File :CSE---1.6
% 0.21/0.61 % Problem :theBenchmark
% 0.21/0.61 % Transform :cnf
% 0.21/0.61 % Format :tptp:raw
% 0.21/0.61 % Command :java -jar mcs_scs.jar %d %s
% 0.21/0.61
% 0.21/0.61 % Result :Theorem 0.000000s
% 0.21/0.61 % Output :CNFRefutation 0.000000s
% 0.21/0.61 %-------------------------------------------
% 0.21/0.61 %--------------------------------------------------------------------------
% 0.21/0.61 % File : SYN069+1 : TPTP v8.1.2. Released v2.0.0.
% 0.21/0.61 % Domain : Syntactic
% 0.21/0.61 % Problem : Pelletier Problem 45
% 0.21/0.61 % Version : Especial.
% 0.21/0.61 % English :
% 0.21/0.61
% 0.21/0.61 % Refs : [KM64] Kalish & Montegue (1964), Logic: Techniques of Formal
% 0.21/0.61 % : [Pel86] Pelletier (1986), Seventy-five Problems for Testing Au
% 0.21/0.61 % : [Hah94] Haehnle (1994), Email to G. Sutcliffe
% 0.21/0.61 % Source : [Hah94]
% 0.21/0.61 % Names : Pelletier 45 [Pel86]
% 0.21/0.61
% 0.21/0.61 % Status : ContradictoryAxioms
% 0.21/0.61 % Rating : 0.00 v6.3.0, 0.08 v6.2.0, 0.00 v5.3.0, 0.09 v5.2.0, 0.00 v4.0.1, 0.05 v3.7.0, 0.00 v3.2.0, 0.11 v3.1.0, 0.00 v2.5.0, 0.33 v2.4.0, 0.33 v2.2.1, 0.00 v2.1.0
% 0.21/0.61 % Syntax : Number of formulae : 4 ( 0 unt; 0 def)
% 0.21/0.62 % Number of atoms : 18 ( 0 equ)
% 0.21/0.62 % Maximal formula atoms : 7 ( 4 avg)
% 0.21/0.62 % Number of connectives : 16 ( 2 ~; 0 |; 10 &)
% 0.21/0.62 % ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% 0.21/0.62 % Maximal formula depth : 7 ( 6 avg)
% 0.21/0.62 % Maximal term depth : 1 ( 1 avg)
% 0.21/0.62 % Number of predicates : 6 ( 6 usr; 0 prp; 1-2 aty)
% 0.21/0.62 % Number of functors : 0 ( 0 usr; 0 con; --- aty)
% 0.21/0.62 % Number of variables : 9 ( 5 !; 4 ?)
% 0.21/0.62 % SPC : FOF_CAX_RFO_NEQ
% 0.21/0.62
% 0.21/0.62 % Comments :
% 0.21/0.62 %--------------------------------------------------------------------------
% 0.21/0.62 fof(pel45_1,axiom,
% 0.21/0.62 ! [X] :
% 0.21/0.62 ( ( big_f(X)
% 0.21/0.62 & ! [Y] :
% 0.21/0.62 ( ( big_g(Y)
% 0.21/0.62 & big_h(X,Y) )
% 0.21/0.62 => big_j(X,Y) ) )
% 0.21/0.62 => ! [Y1] :
% 0.21/0.62 ( big_g(Y1)
% 0.21/0.62 & big_h(X,Y1)
% 0.21/0.62 & big_k(Y1) ) ) ).
% 0.21/0.62
% 0.21/0.62 fof(pel45_2,axiom,
% 0.21/0.62 ~ ? [Y] :
% 0.21/0.62 ( big_l(Y)
% 0.21/0.62 & big_k(Y) ) ).
% 0.21/0.62
% 0.21/0.62 fof(pel45_3,axiom,
% 0.21/0.62 ? [X] :
% 0.21/0.62 ( big_f(X)
% 0.21/0.62 & ! [Y] :
% 0.21/0.62 ( big_h(X,Y)
% 0.21/0.62 => big_l(Y) )
% 0.21/0.62 & ! [Y1] :
% 0.21/0.62 ( ( big_g(Y1)
% 0.21/0.62 & big_h(X,Y1) )
% 0.21/0.62 => big_j(X,Y1) ) ) ).
% 0.21/0.62
% 0.21/0.62 fof(pel45,conjecture,
% 0.21/0.62 ? [X] :
% 0.21/0.62 ( big_f(X)
% 0.21/0.62 & ~ ? [Y] :
% 0.21/0.62 ( big_g(Y)
% 0.21/0.62 & big_h(X,Y) ) ) ).
% 0.21/0.62
% 0.21/0.62 %--------------------------------------------------------------------------
% 0.21/0.62 %-------------------------------------------
% 0.21/0.62 % Proof found
% 0.21/0.62 % SZS status Theorem for theBenchmark
% 0.21/0.62 % SZS output start Proof
% 0.21/0.62 %ClaNum:15(EqnAxiom:0)
% 0.21/0.62 %VarNum:33(SingletonVarNum:15)
% 0.21/0.62 %MaxLitNum:3
% 0.21/0.62 %MaxfuncDepth:1
% 0.21/0.62 %SharedTerms:2
% 0.21/0.62 %goalClause: 3 7
% 0.21/0.62 [1]P1(a1)
% 0.21/0.62 [2]~P6(x21)+~P2(x21)
% 0.21/0.62 [6]P6(x61)+~P4(a1,x61)
% 0.21/0.62 [3]~P1(x31)+P3(f3(x31))
% 0.21/0.62 [7]~P1(x71)+P4(x71,f3(x71))
% 0.21/0.62 [11]~P3(x111)+~P4(a1,x111)+P5(a1,x111)
% 0.21/0.62 [4]~P1(x42)+P3(x41)+P3(f2(x42))
% 0.21/0.62 [12]~P1(x121)+P4(x121,x122)+P4(x121,f2(x121))
% 0.21/0.62 [13]P3(x131)+~P1(x132)+~P5(x132,f2(x132))
% 0.21/0.62 [14]P2(x141)+~P1(x142)+~P5(x142,f2(x142))
% 0.21/0.62 [15]~P1(x151)+P4(x151,x152)+~P5(x151,f2(x151))
% 0.21/0.62 %EqnAxiom
% 0.21/0.62
% 0.21/0.62 %-------------------------------------------
% 0.21/0.62 cnf(16,plain,
% 0.21/0.62 (P4(a1,f3(a1))),
% 0.21/0.62 inference(scs_inference,[],[1,7])).
% 0.21/0.62 cnf(17,plain,
% 0.21/0.62 (P3(f3(a1))),
% 0.21/0.62 inference(scs_inference,[],[1,7,3])).
% 0.21/0.62 cnf(18,plain,
% 0.21/0.62 (P3(x181)+P3(f2(a1))),
% 0.21/0.62 inference(scs_inference,[],[1,7,3,4])).
% 0.21/0.62 cnf(20,plain,
% 0.21/0.62 (P6(f3(a1))),
% 0.21/0.62 inference(scs_inference,[],[1,7,3,4,6])).
% 0.21/0.62 cnf(24,plain,
% 0.21/0.62 (P2(x241)+~P5(a1,f2(a1))),
% 0.21/0.62 inference(scs_inference,[],[1,7,3,4,6,11,14])).
% 0.21/0.62 cnf(28,plain,
% 0.21/0.62 (P3(f2(a1))),
% 0.21/0.62 inference(factoring_inference,[],[18])).
% 0.21/0.62 cnf(31,plain,
% 0.21/0.62 (~P5(a1,f2(a1))),
% 0.21/0.62 inference(scs_inference,[],[20,2,24])).
% 0.21/0.62 cnf(35,plain,
% 0.21/0.62 (P4(a1,x351)+P4(a1,f2(a1))),
% 0.21/0.62 inference(scs_inference,[],[1,17,20,16,2,24,11,12])).
% 0.21/0.62 cnf(37,plain,
% 0.21/0.62 (P4(a1,f2(a1))),
% 0.21/0.62 inference(factoring_inference,[],[35])).
% 0.21/0.62 cnf(39,plain,
% 0.21/0.62 ($false),
% 0.21/0.62 inference(scs_inference,[],[31,37,28,11]),
% 0.21/0.62 ['proof']).
% 0.21/0.62 % SZS output end Proof
% 0.21/0.62 % Total time :0.000000s
%------------------------------------------------------------------------------