TSTP Solution File: SYN059+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SYN059+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n032.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 01:43:56 EDT 2023
% Result : Theorem 0.16s 0.61s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SYN059+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.11 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.31 % Computer : n032.cluster.edu
% 0.13/0.31 % Model : x86_64 x86_64
% 0.13/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.31 % Memory : 8042.1875MB
% 0.13/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.31 % CPULimit : 300
% 0.13/0.31 % WCLimit : 300
% 0.13/0.31 % DateTime : Sat Aug 26 19:55:44 EDT 2023
% 0.13/0.31 % CPUTime :
% 0.16/0.48 start to proof:theBenchmark
% 0.16/0.61 %-------------------------------------------
% 0.16/0.61 % File :CSE---1.6
% 0.16/0.61 % Problem :theBenchmark
% 0.16/0.61 % Transform :cnf
% 0.16/0.61 % Format :tptp:raw
% 0.16/0.61 % Command :java -jar mcs_scs.jar %d %s
% 0.16/0.61
% 0.16/0.61 % Result :Theorem 0.080000s
% 0.16/0.61 % Output :CNFRefutation 0.080000s
% 0.16/0.61 %-------------------------------------------
% 0.16/0.61 %--------------------------------------------------------------------------
% 0.16/0.61 % File : SYN059+1 : TPTP v8.1.2. Released v2.0.0.
% 0.16/0.61 % Domain : Syntactic
% 0.16/0.61 % Problem : Pelletier Problem 29
% 0.16/0.61 % Version : Especial.
% 0.16/0.61 % English :
% 0.16/0.61
% 0.16/0.61 % Refs : [KM64] Kalish & Montegue (1964), Logic: Techniques of Formal
% 0.16/0.61 % : [Pel86] Pelletier (1986), Seventy-five Problems for Testing Au
% 0.16/0.61 % : [Hah94] Haehnle (1994), Email to G. Sutcliffe
% 0.16/0.61 % Source : [Hah94]
% 0.16/0.61 % Names : Pelletier 29 [Pel86]
% 0.16/0.61
% 0.16/0.61 % Status : Theorem
% 0.16/0.61 % Rating : 0.00 v2.1.0
% 0.16/0.61 % Syntax : Number of formulae : 3 ( 2 unt; 0 def)
% 0.16/0.61 % Number of atoms : 10 ( 0 equ)
% 0.16/0.61 % Maximal formula atoms : 8 ( 3 avg)
% 0.16/0.61 % Number of connectives : 7 ( 0 ~; 0 |; 3 &)
% 0.16/0.61 % ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% 0.16/0.61 % Maximal formula depth : 6 ( 3 avg)
% 0.16/0.61 % Maximal term depth : 1 ( 1 avg)
% 0.16/0.61 % Number of predicates : 4 ( 4 usr; 0 prp; 1-1 aty)
% 0.16/0.61 % Number of functors : 0 ( 0 usr; 0 con; --- aty)
% 0.16/0.61 % Number of variables : 6 ( 4 !; 2 ?)
% 0.16/0.61 % SPC : FOF_THM_EPR_NEQ
% 0.16/0.61
% 0.16/0.61 % Comments :
% 0.16/0.61 %--------------------------------------------------------------------------
% 0.16/0.61 fof(pel29_1,axiom,
% 0.16/0.61 ? [X] : big_f(X) ).
% 0.16/0.61
% 0.16/0.61 fof(pel29_2,axiom,
% 0.16/0.61 ? [Y] : big_g(Y) ).
% 0.16/0.61
% 0.16/0.61 fof(pel29,conjecture,
% 0.16/0.61 ( ( ! [X] :
% 0.16/0.61 ( big_f(X)
% 0.16/0.61 => big_h(X) )
% 0.16/0.61 & ! [U] :
% 0.16/0.61 ( big_g(U)
% 0.16/0.61 => big_j(U) ) )
% 0.16/0.61 <=> ! [W,Y] :
% 0.16/0.61 ( ( big_f(W)
% 0.16/0.61 & big_g(Y) )
% 0.16/0.61 => ( big_h(W)
% 0.16/0.61 & big_j(Y) ) ) ) ).
% 0.16/0.61
% 0.16/0.61 %--------------------------------------------------------------------------
% 0.16/0.61 %-------------------------------------------
% 0.16/0.61 % Proof found
% 0.16/0.61 % SZS status Theorem for theBenchmark
% 0.16/0.61 % SZS output start Proof
% 0.16/0.61 %ClaNum:18(EqnAxiom:0)
% 0.16/0.61 %VarNum:10(SingletonVarNum:6)
% 0.16/0.61 %MaxLitNum:5
% 0.16/0.61 %MaxfuncDepth:0
% 0.16/0.61 %SharedTerms:16
% 0.16/0.61 %goalClause: 3 4 5 6 7 8 9 10 11 12 13 14 15 18
% 0.16/0.61 [1]P1(a1)
% 0.16/0.61 [2]P2(a2)
% 0.16/0.61 [3]P1(a3)+P1(a4)+P2(a5)
% 0.16/0.61 [4]P1(a3)+P2(a5)+P2(a6)
% 0.16/0.61 [5]P1(a3)+P1(a4)+~P3(a5)
% 0.16/0.61 [6]P1(a3)+P2(a6)+~P3(a5)
% 0.16/0.61 [7]P1(a4)+P2(a5)+~P4(a3)
% 0.16/0.61 [8]P2(a5)+P2(a6)+~P4(a3)
% 0.16/0.61 [9]P1(a4)+~P4(a3)+~P3(a5)
% 0.16/0.61 [10]P2(a6)+~P4(a3)+~P3(a5)
% 0.16/0.61 [11]P1(a3)+P2(a5)+~P4(a4)+~P3(a6)
% 0.16/0.61 [12]P1(a3)+~P4(a4)+~P3(a5)+~P3(a6)
% 0.16/0.61 [13]P2(a5)+~P4(a3)+~P4(a4)+~P3(a6)
% 0.16/0.61 [14]~P4(a3)+~P4(a4)+~P3(a5)+~P3(a6)
% 0.16/0.61 [15]~P1(x151)+~P1(x152)+P4(x151)+P4(x152)+~P2(x153)
% 0.16/0.61 [18]~P2(x181)+~P2(x182)+P3(x181)+P3(x182)+~P1(x183)
% 0.16/0.61 %EqnAxiom
% 0.16/0.61
% 0.16/0.61 %-------------------------------------------
% 0.16/0.62 cnf(21,plain,
% 0.16/0.62 (P4(x211)+P4(x212)+~P1(x212)+~P1(x211)),
% 0.16/0.62 inference(scs_inference,[],[2,15])).
% 0.16/0.62 cnf(22,plain,
% 0.16/0.62 (P3(x221)+P3(x222)+~P2(x222)+~P2(x221)),
% 0.16/0.62 inference(scs_inference,[],[1,18])).
% 0.16/0.62 cnf(27,plain,
% 0.16/0.62 (P3(a6)+P2(a5)+P1(a3)),
% 0.16/0.62 inference(scs_inference,[],[4,22])).
% 0.16/0.62 cnf(28,plain,
% 0.16/0.62 (P4(a3)+P1(a4)+~P3(a5)),
% 0.16/0.62 inference(scs_inference,[],[5,21])).
% 0.16/0.62 cnf(29,plain,
% 0.16/0.62 (~P2(a5)+P2(a6)+P1(a3)),
% 0.16/0.62 inference(scs_inference,[],[6,22])).
% 0.16/0.62 cnf(32,plain,
% 0.16/0.62 (~P1(a3)+P2(a6)+P2(a5)),
% 0.16/0.62 inference(scs_inference,[],[8,21])).
% 0.16/0.62 cnf(34,plain,
% 0.16/0.62 (P4(a4)+~P4(a3)+~P3(a5)),
% 0.16/0.62 inference(scs_inference,[],[9,21])).
% 0.16/0.62 cnf(35,plain,
% 0.16/0.62 (~P2(a5)+~P4(a3)+P2(a6)),
% 0.16/0.62 inference(scs_inference,[],[10,22])).
% 0.16/0.62 cnf(38,plain,
% 0.16/0.62 (P1(a3)+P2(a5)+~P4(a4)),
% 0.16/0.62 inference(scs_inference,[],[27,11])).
% 0.16/0.62 cnf(39,plain,
% 0.16/0.62 (P1(a4)+P4(a4)+~P3(a5)),
% 0.16/0.62 inference(scs_inference,[],[28,34])).
% 0.16/0.62 cnf(43,plain,
% 0.16/0.62 (~P1(a4)+P2(a5)+P1(a3)),
% 0.16/0.62 inference(scs_inference,[],[38,21])).
% 0.16/0.62 cnf(45,plain,
% 0.16/0.62 (~P2(a5)+P4(a4)+P1(a4)),
% 0.16/0.62 inference(scs_inference,[],[39,22])).
% 0.16/0.62 cnf(52,plain,
% 0.16/0.62 (P4(a3)+~P4(a4)+~P3(a5)+~P3(a6)),
% 0.16/0.62 inference(scs_inference,[],[12,21])).
% 0.16/0.62 cnf(53,plain,
% 0.16/0.62 (~P1(a4)+~P3(a6)+~P4(a3)+P2(a5)),
% 0.16/0.62 inference(scs_inference,[],[13,21])).
% 0.16/0.62 cnf(64,plain,
% 0.16/0.62 (P2(a5)+P1(a3)),
% 0.16/0.62 inference(scs_inference,[],[3,43])).
% 0.16/0.62 cnf(65,plain,
% 0.16/0.62 (P2(a6)+P2(a5)),
% 0.16/0.62 inference(scs_inference,[],[64,32])).
% 0.16/0.62 cnf(66,plain,
% 0.16/0.62 (P2(a6)+~P4(a3)),
% 0.16/0.62 inference(scs_inference,[],[65,35])).
% 0.16/0.62 cnf(67,plain,
% 0.16/0.62 (~P1(a3)+P2(a6)),
% 0.16/0.62 inference(scs_inference,[],[66,21])).
% 0.16/0.62 cnf(75,plain,
% 0.16/0.62 (P1(a3)+P1(a4)+P4(a4)),
% 0.16/0.62 inference(scs_inference,[],[64,45])).
% 0.16/0.62 cnf(77,plain,
% 0.16/0.62 (P2(a6)+P1(a3)),
% 0.16/0.62 inference(scs_inference,[],[64,29])).
% 0.16/0.62 cnf(78,plain,
% 0.16/0.62 (P2(a6)),
% 0.16/0.62 inference(scs_inference,[],[77,67])).
% 0.16/0.62 cnf(79,plain,
% 0.16/0.62 (P4(a3)+P2(a5)),
% 0.16/0.62 inference(scs_inference,[],[64,21])).
% 0.16/0.62 cnf(80,plain,
% 0.16/0.62 (P3(a6)),
% 0.16/0.62 inference(scs_inference,[],[78,22])).
% 0.16/0.62 cnf(83,plain,
% 0.16/0.62 (~P3(a5)+~P4(a4)+~P4(a3)),
% 0.16/0.62 inference(scs_inference,[],[80,14])).
% 0.16/0.62 cnf(84,plain,
% 0.16/0.62 (~P3(a5)+~P4(a4)+P4(a3)),
% 0.16/0.62 inference(scs_inference,[],[80,52])).
% 0.16/0.62 cnf(85,plain,
% 0.16/0.62 (~P4(a3)+P2(a5)+~P1(a4)),
% 0.16/0.62 inference(scs_inference,[],[80,53])).
% 0.16/0.62 cnf(94,plain,
% 0.16/0.62 (~P4(a3)+~P3(a5)),
% 0.16/0.62 inference(scs_inference,[],[83,34])).
% 0.16/0.62 cnf(95,plain,
% 0.16/0.62 (~P2(a5)+~P4(a3)),
% 0.16/0.62 inference(scs_inference,[],[94,22])).
% 0.16/0.62 cnf(97,plain,
% 0.16/0.62 (~P2(a5)+~P4(a4)+P4(a3)),
% 0.16/0.62 inference(scs_inference,[],[84,22])).
% 0.16/0.62 cnf(99,plain,
% 0.16/0.62 (P2(a5)+~P4(a3)),
% 0.16/0.62 inference(scs_inference,[],[85,7])).
% 0.16/0.62 cnf(100,plain,
% 0.16/0.62 (P2(a5)),
% 0.16/0.62 inference(scs_inference,[],[99,79])).
% 0.16/0.62 cnf(102,plain,
% 0.16/0.62 (~P4(a3)),
% 0.16/0.62 inference(scs_inference,[],[100,95])).
% 0.16/0.62 cnf(103,plain,
% 0.16/0.62 (~P4(a4)+P4(a3)),
% 0.16/0.62 inference(scs_inference,[],[100,97])).
% 0.16/0.62 cnf(108,plain,
% 0.16/0.62 (~P4(a4)),
% 0.16/0.62 inference(scs_inference,[],[102,103])).
% 0.16/0.62 cnf(109,plain,
% 0.16/0.62 (~P1(a3)),
% 0.16/0.62 inference(scs_inference,[],[102,21])).
% 0.16/0.62 cnf(113,plain,
% 0.16/0.62 (P1(a4)),
% 0.16/0.62 inference(scs_inference,[],[108,109,75])).
% 0.16/0.62 cnf(118,plain,
% 0.16/0.62 ($false),
% 0.16/0.62 inference(scs_inference,[],[113,108,21]),
% 0.16/0.62 ['proof']).
% 0.16/0.62 % SZS output end Proof
% 0.16/0.62 % Total time :0.080000s
%------------------------------------------------------------------------------