TSTP Solution File: PUZ047+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : PUZ047+1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n019.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 13:11:04 EDT 2023
% Result : Theorem 0.20s 0.63s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : PUZ047+1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n019.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
% 0.13/0.35 % DateTime : Sat Aug 26 22:36:58 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 0.20/0.63 %-------------------------------------------
% 0.20/0.63 % File :CSE---1.6
% 0.20/0.63 % Problem :theBenchmark
% 0.20/0.63 % Transform :cnf
% 0.20/0.63 % Format :tptp:raw
% 0.20/0.63 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.63
% 0.20/0.63 % Result :Theorem 0.000000s
% 0.20/0.63 % Output :CNFRefutation 0.000000s
% 0.20/0.63 %-------------------------------------------
% 0.20/0.63 %--------------------------------------------------------------------------
% 0.20/0.63 % File : PUZ047+1 : TPTP v8.1.2. Released v2.5.0.
% 0.20/0.63 % Domain : Syntactic
% 0.20/0.63 % Problem : Taking the wolf, goat, and cabbage across river
% 0.20/0.63 % Version : Especial.
% 0.20/0.63 % English :
% 0.20/0.63
% 0.20/0.63 % Refs : [And97] Andrews (1994), Email to G. Sutcliffe
% 0.20/0.63 % Source : [And97]
% 0.20/0.63 % Names : THM100 [And97]
% 0.20/0.63
% 0.20/0.63 % Status : Theorem
% 0.20/0.63 % Rating : 0.07 v8.1.0, 0.14 v7.5.0, 0.05 v7.4.0, 0.00 v6.4.0, 0.07 v6.3.0, 0.00 v6.1.0, 0.04 v6.0.0, 0.25 v5.5.0, 0.08 v5.4.0, 0.09 v5.3.0, 0.22 v5.2.0, 0.07 v5.0.0, 0.05 v4.1.0, 0.11 v4.0.0, 0.05 v3.7.0, 0.00 v2.5.0
% 0.20/0.63 % Syntax : Number of formulae : 1 ( 0 unt; 0 def)
% 0.20/0.63 % Number of atoms : 30 ( 0 equ)
% 0.20/0.63 % Maximal formula atoms : 30 ( 30 avg)
% 0.20/0.63 % Number of connectives : 29 ( 0 ~; 0 |; 14 &)
% 0.20/0.63 % ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% 0.20/0.63 % Maximal formula depth : 18 ( 18 avg)
% 0.20/0.63 % Maximal term depth : 2 ( 1 avg)
% 0.20/0.63 % Number of predicates : 1 ( 1 usr; 0 prp; 5-5 aty)
% 0.20/0.63 % Number of functors : 7 ( 7 usr; 3 con; 0-1 aty)
% 0.20/0.63 % Number of variables : 19 ( 18 !; 1 ?)
% 0.20/0.63 % SPC : FOF_THM_RFO_NEQ
% 0.20/0.63
% 0.20/0.63 % Comments :
% 0.20/0.63 %--------------------------------------------------------------------------
% 0.20/0.63 fof(thm100,conjecture,
% 0.20/0.63 ( ( p(south,south,south,south,start)
% 0.20/0.63 & ! [T] :
% 0.20/0.63 ( p(south,north,south,north,T)
% 0.20/0.63 => p(north,north,south,north,go_alone(T)) )
% 0.20/0.63 & ! [T1] :
% 0.20/0.63 ( p(north,north,south,north,T1)
% 0.20/0.63 => p(south,north,south,north,go_alone(T1)) )
% 0.20/0.63 & ! [T2] :
% 0.20/0.63 ( p(south,south,north,south,T2)
% 0.20/0.63 => p(north,south,north,south,go_alone(T2)) )
% 0.20/0.63 & ! [T3] :
% 0.20/0.63 ( p(north,south,north,south,T3)
% 0.20/0.63 => p(south,south,north,south,go_alone(T3)) )
% 0.20/0.63 & ! [T4] :
% 0.20/0.63 ( p(south,south,south,north,T4)
% 0.20/0.63 => p(north,north,south,north,take_wolf(T4)) )
% 0.20/0.63 & ! [T5] :
% 0.20/0.63 ( p(north,north,south,north,T5)
% 0.20/0.63 => p(south,south,south,north,take_wolf(T5)) )
% 0.20/0.63 & ! [T6] :
% 0.20/0.63 ( p(south,south,north,south,T6)
% 0.20/0.63 => p(north,north,north,south,take_wolf(T6)) )
% 0.20/0.63 & ! [T7] :
% 0.20/0.63 ( p(north,north,north,south,T7)
% 0.20/0.63 => p(south,south,north,south,take_wolf(T7)) )
% 0.20/0.63 & ! [X,Y,U] :
% 0.20/0.63 ( p(south,X,south,Y,U)
% 0.20/0.63 => p(north,X,north,Y,take_goat(U)) )
% 0.20/0.63 & ! [X1,Y1,V] :
% 0.20/0.63 ( p(north,X1,north,Y1,V)
% 0.20/0.63 => p(south,X1,south,Y1,take_goat(V)) )
% 0.20/0.63 & ! [T8] :
% 0.20/0.63 ( p(south,north,south,south,T8)
% 0.20/0.63 => p(north,north,south,north,take_cabbage(T8)) )
% 0.20/0.63 & ! [T9] :
% 0.20/0.63 ( p(north,north,south,north,T9)
% 0.20/0.63 => p(south,north,south,south,take_cabbage(T9)) )
% 0.20/0.63 & ! [U1] :
% 0.20/0.63 ( p(south,south,north,south,U1)
% 0.20/0.63 => p(north,south,north,north,take_cabbage(U1)) )
% 0.20/0.63 & ! [V1] :
% 0.20/0.63 ( p(north,south,north,north,V1)
% 0.20/0.63 => p(south,south,north,south,take_cabbage(V1)) ) )
% 0.20/0.63 => ? [Z] : p(north,north,north,north,Z) ) ).
% 0.20/0.63
% 0.20/0.63 %--------------------------------------------------------------------------
% 0.20/0.63 %-------------------------------------------
% 0.20/0.63 % Proof found
% 0.20/0.63 % SZS status Theorem for theBenchmark
% 0.20/0.63 % SZS output start Proof
% 0.20/0.63 %ClaNum:17(EqnAxiom:0)
% 0.20/0.63 %VarNum:37(SingletonVarNum:19)
% 0.20/0.63 %MaxLitNum:3
% 0.20/0.63 %MaxfuncDepth:1
% 0.20/0.63 %SharedTerms:7
% 0.20/0.63 %goalClause: 1 2
% 0.20/0.63 %singleGoalClaCount:2
% 0.20/0.63 [1]P1(a500)
% 0.20/0.63 [2]~P2(a1,a1,a1,a1,x21)
% 0.20/0.63 [3]P2(a3,a3,a3,a3,a4)+~P1(a500)
% 0.20/0.63 [4]~P2(a1,a1,a3,a1,x41)+P2(a3,a3,a3,a1,f5(x41))+~P1(a500)
% 0.20/0.63 [5]~P2(a1,a3,a1,a3,x51)+P2(a3,a3,a1,a3,f2(x51))+~P1(a500)
% 0.20/0.63 [6]~P2(a1,a1,a1,a3,x61)+P2(a3,a3,a1,a3,f5(x61))+~P1(a500)
% 0.20/0.63 [7]~P2(a1,a3,a1,a1,x71)+P2(a3,a3,a1,a3,f6(x71))+~P1(a500)
% 0.20/0.63 [8]~P2(a1,a1,a3,a1,x81)+P2(a3,a1,a3,a3,f6(x81))+~P1(a500)
% 0.20/0.63 [9]~P2(a1,a1,a3,a1,x91)+P2(a3,a1,a3,a1,f2(x91))+~P1(a500)
% 0.20/0.63 [10]~P2(a3,a3,a1,a3,x101)+P2(a1,a3,a1,a3,f2(x101))+~P1(a500)
% 0.20/0.63 [11]~P2(a3,a3,a1,a3,x111)+P2(a1,a3,a1,a1,f6(x111))+~P1(a500)
% 0.20/0.63 [12]~P2(a3,a1,a3,a1,x121)+P2(a1,a1,a3,a1,f2(x121))+~P1(a500)
% 0.20/0.63 [13]~P2(a3,a3,a3,a1,x131)+P2(a1,a1,a3,a1,f5(x131))+~P1(a500)
% 0.20/0.63 [14]~P2(a3,a1,a3,a3,x141)+P2(a1,a1,a3,a1,f6(x141))+~P1(a500)
% 0.20/0.63 [15]~P2(a3,a3,a1,a3,x151)+P2(a1,a1,a1,a3,f5(x151))+~P1(a500)
% 0.20/0.63 [16]~P2(a1,x161,a1,x162,x163)+P2(a3,x161,a3,x162,f7(x163))+~P1(a500)
% 0.20/0.63 [17]~P2(a3,x171,a3,x172,x173)+P2(a1,x171,a1,x172,f7(x173))+~P1(a500)
% 0.20/0.63 %EqnAxiom
% 0.20/0.63
% 0.20/0.63 %-------------------------------------------
% 0.20/0.64 cnf(20,plain,
% 0.20/0.64 (~P2(a1,a1,a3,a1,x201)),
% 0.20/0.64 inference(scs_inference,[],[1,2,17,9])).
% 0.20/0.64 cnf(21,plain,
% 0.20/0.64 (P2(a3,a3,a3,a3,a4)),
% 0.20/0.64 inference(scs_inference,[],[1,2,17,9,3])).
% 0.20/0.64 cnf(22,plain,
% 0.20/0.64 (~P2(a3,a3,a1,a3,x221)+P2(a1,a1,a1,a3,f5(x221))),
% 0.20/0.64 inference(scs_inference,[],[1,2,17,9,3,15])).
% 0.20/0.64 cnf(23,plain,
% 0.20/0.64 (~P2(a3,a1,a3,a3,x231)),
% 0.20/0.64 inference(scs_inference,[],[1,2,17,9,3,15,14])).
% 0.20/0.64 cnf(24,plain,
% 0.20/0.64 (~P2(a1,a3,a1,a1,x241)+P2(a1,a1,a1,a3,f5(f6(x241)))),
% 0.20/0.64 inference(scs_inference,[],[1,2,17,9,3,15,14,7])).
% 0.20/0.64 cnf(25,plain,
% 0.20/0.64 (~P2(a1,a3,a1,a3,x251)+P2(a3,a3,a1,a3,f2(x251))),
% 0.20/0.64 inference(scs_inference,[],[1,5])).
% 0.20/0.64 cnf(29,plain,
% 0.20/0.64 (~P2(a3,a3,a1,a3,x291)+P2(a1,a3,a1,a1,f6(x291))),
% 0.20/0.64 inference(scs_inference,[],[1,11])).
% 0.20/0.64 cnf(30,plain,
% 0.20/0.64 (~P2(a3,a3,a3,a1,x301)+P2(a1,a1,a3,a1,f5(x301))),
% 0.20/0.64 inference(scs_inference,[],[1,13])).
% 0.20/0.64 cnf(31,plain,
% 0.20/0.64 (~P2(a1,x311,a1,x312,x313)+P2(a3,x311,a3,x312,f7(x313))),
% 0.20/0.64 inference(scs_inference,[],[1,16])).
% 0.20/0.64 cnf(32,plain,
% 0.20/0.64 (~P2(a3,x321,a3,x322,x323)+P2(a1,x321,a1,x322,f7(x323))),
% 0.20/0.64 inference(scs_inference,[],[1,17])).
% 0.20/0.64 cnf(45,plain,
% 0.20/0.64 ($false),
% 0.20/0.64 inference(scs_inference,[],[20,23,21,31,30,24,22,32,25,29]),
% 0.20/0.64 ['proof']).
% 0.20/0.64 % SZS output end Proof
% 0.20/0.64 % Total time :0.000000s
%------------------------------------------------------------------------------