TSTP Solution File: PUZ001+1 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : PUZ001+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n022.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 : 600s
% DateTime : Mon Jul 18 18:24:07 EDT 2022
% Result : Theorem 1.57s 1.75s
% Output : Refutation 1.57s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
fof(pel55_11,axiom,
agatha != butler,
input ).
cnf(c7,axiom,
agatha != butler,
inference(split_conjunct,status(thm),[pel55_11]) ).
fof(pel55_7,axiom,
! [X] :
( X != butler
=> hates(agatha,X) ),
input ).
fof(c19,axiom,
! [X] :
( X = butler
| hates(agatha,X) ),
inference(fof_nnf,status(thm),[pel55_7]) ).
fof(c20,axiom,
! [X6] :
( X6 = butler
| hates(agatha,X6) ),
inference(variable_rename,status(thm),[c19]) ).
cnf(c21,axiom,
( X41 = butler
| hates(agatha,X41) ),
inference(split_conjunct,status(thm),[c20]) ).
cnf(c55,plain,
hates(agatha,agatha),
inference(resolution,status(thm),[c21,c7]) ).
fof(pel55_6,axiom,
! [X] :
( hates(agatha,X)
=> ~ hates(charles,X) ),
input ).
fof(c22,axiom,
! [X] :
( hates(agatha,X)
=> ~ hates(charles,X) ),
inference(fof_simplification,status(thm),[pel55_6]) ).
fof(c23,axiom,
! [X] :
( ~ hates(agatha,X)
| ~ hates(charles,X) ),
inference(fof_nnf,status(thm),[c22]) ).
fof(c24,axiom,
! [X7] :
( ~ hates(agatha,X7)
| ~ hates(charles,X7) ),
inference(variable_rename,status(thm),[c23]) ).
cnf(c25,axiom,
( ~ hates(agatha,X46)
| ~ hates(charles,X46) ),
inference(split_conjunct,status(thm),[c24]) ).
cnf(reflexivity,axiom,
X14 = X14,
eq_axiom ).
fof(pel55_1,axiom,
? [X] :
( lives(X)
& killed(X,agatha) ),
input ).
fof(c39,axiom,
? [X13] :
( lives(X13)
& killed(X13,agatha) ),
inference(variable_rename,status(thm),[pel55_1]) ).
fof(c40,axiom,
( lives(skolem0002)
& killed(skolem0002,agatha) ),
inference(skolemize,status(esa),[c39]) ).
cnf(c42,axiom,
killed(skolem0002,agatha),
inference(split_conjunct,status(thm),[c40]) ).
fof(pel55_4,axiom,
! [X,Y] :
( killed(X,Y)
=> hates(X,Y) ),
input ).
fof(c30,axiom,
! [X,Y] :
( ~ killed(X,Y)
| hates(X,Y) ),
inference(fof_nnf,status(thm),[pel55_4]) ).
fof(c31,axiom,
! [X10,X11] :
( ~ killed(X10,X11)
| hates(X10,X11) ),
inference(variable_rename,status(thm),[c30]) ).
cnf(c32,axiom,
( ~ killed(X25,X24)
| hates(X25,X24) ),
inference(split_conjunct,status(thm),[c31]) ).
cnf(c45,plain,
hates(skolem0002,agatha),
inference(resolution,status(thm),[c32,c42]) ).
cnf(c2,plain,
( X40 != X39
| X37 != X38
| ~ hates(X40,X37)
| hates(X39,X38) ),
eq_axiom ).
cnf(c52,plain,
( skolem0002 != X60
| agatha != X59
| hates(X60,X59) ),
inference(resolution,status(thm),[c2,c45]) ).
cnf(c117,plain,
( skolem0002 != X63
| hates(X63,agatha) ),
inference(resolution,status(thm),[c52,reflexivity]) ).
fof(pel55_5,axiom,
! [X,Y] :
( killed(X,Y)
=> ~ richer(X,Y) ),
input ).
fof(c26,axiom,
! [X,Y] :
( killed(X,Y)
=> ~ richer(X,Y) ),
inference(fof_simplification,status(thm),[pel55_5]) ).
fof(c27,axiom,
! [X,Y] :
( ~ killed(X,Y)
| ~ richer(X,Y) ),
inference(fof_nnf,status(thm),[c26]) ).
fof(c28,axiom,
! [X8,X9] :
( ~ killed(X8,X9)
| ~ richer(X8,X9) ),
inference(variable_rename,status(thm),[c27]) ).
cnf(c29,axiom,
( ~ killed(X23,X22)
| ~ richer(X23,X22) ),
inference(split_conjunct,status(thm),[c28]) ).
fof(pel55_10,axiom,
! [X] :
? [Y] : ~ hates(X,Y),
input ).
fof(c8,axiom,
! [X] :
? [Y] : ~ hates(X,Y),
inference(fof_simplification,status(thm),[pel55_10]) ).
fof(c9,axiom,
! [X2] :
? [X3] : ~ hates(X2,X3),
inference(variable_rename,status(thm),[c8]) ).
fof(c10,axiom,
! [X2] : ~ hates(X2,skolem0001(X2)),
inference(skolemize,status(esa),[c9]) ).
cnf(c11,axiom,
~ hates(X18,skolem0001(X18)),
inference(split_conjunct,status(thm),[c10]) ).
fof(pel55_9,axiom,
! [X] :
( hates(agatha,X)
=> hates(butler,X) ),
input ).
fof(c12,axiom,
! [X] :
( ~ hates(agatha,X)
| hates(butler,X) ),
inference(fof_nnf,status(thm),[pel55_9]) ).
fof(c13,axiom,
! [X4] :
( ~ hates(agatha,X4)
| hates(butler,X4) ),
inference(variable_rename,status(thm),[c12]) ).
cnf(c14,axiom,
( ~ hates(agatha,X35)
| hates(butler,X35) ),
inference(split_conjunct,status(thm),[c13]) ).
cnf(c57,plain,
( X50 = butler
| hates(butler,X50) ),
inference(resolution,status(thm),[c21,c14]) ).
cnf(c87,plain,
skolem0001(butler) = butler,
inference(resolution,status(thm),[c57,c11]) ).
fof(pel55_8,axiom,
! [X] :
( ~ richer(X,agatha)
=> hates(butler,X) ),
input ).
fof(c15,axiom,
! [X] :
( ~ richer(X,agatha)
=> hates(butler,X) ),
inference(fof_simplification,status(thm),[pel55_8]) ).
fof(c16,axiom,
! [X] :
( richer(X,agatha)
| hates(butler,X) ),
inference(fof_nnf,status(thm),[c15]) ).
fof(c17,axiom,
! [X5] :
( richer(X5,agatha)
| hates(butler,X5) ),
inference(variable_rename,status(thm),[c16]) ).
cnf(c18,axiom,
( richer(X36,agatha)
| hates(butler,X36) ),
inference(split_conjunct,status(thm),[c17]) ).
cnf(c49,plain,
richer(skolem0001(butler),agatha),
inference(resolution,status(thm),[c18,c11]) ).
cnf(c3,plain,
( X45 != X44
| X42 != X43
| ~ richer(X45,X42)
| richer(X44,X43) ),
eq_axiom ).
cnf(c69,plain,
( skolem0001(butler) != X84
| agatha != X83
| richer(X84,X83) ),
inference(resolution,status(thm),[c3,c49]) ).
cnf(c195,plain,
( agatha != X90
| richer(butler,X90) ),
inference(resolution,status(thm),[c69,c87]) ).
cnf(c215,plain,
richer(butler,agatha),
inference(resolution,status(thm),[c195,reflexivity]) ).
cnf(c216,plain,
~ killed(butler,agatha),
inference(resolution,status(thm),[c215,c29]) ).
cnf(c1,plain,
( X33 != X32
| X30 != X31
| ~ killed(X33,X30)
| killed(X32,X31) ),
eq_axiom ).
cnf(c47,plain,
( skolem0002 != X51
| agatha != X52
| killed(X51,X52) ),
inference(resolution,status(thm),[c1,c42]) ).
cnf(c97,plain,
( skolem0002 != X61
| killed(X61,agatha) ),
inference(resolution,status(thm),[c47,reflexivity]) ).
fof(pel55,conjecture,
killed(agatha,agatha),
input ).
fof(c4,negated_conjecture,
~ killed(agatha,agatha),
inference(assume_negation,status(cth),[pel55]) ).
fof(c5,negated_conjecture,
~ killed(agatha,agatha),
inference(fof_simplification,status(thm),[c4]) ).
cnf(c6,negated_conjecture,
~ killed(agatha,agatha),
inference(split_conjunct,status(thm),[c5]) ).
cnf(c41,axiom,
lives(skolem0002),
inference(split_conjunct,status(thm),[c40]) ).
fof(pel55_3,axiom,
! [X] :
( lives(X)
=> ( X = agatha
| X = butler
| X = charles ) ),
input ).
fof(c33,axiom,
! [X] :
( ~ lives(X)
| X = agatha
| X = butler
| X = charles ),
inference(fof_nnf,status(thm),[pel55_3]) ).
fof(c34,axiom,
! [X12] :
( ~ lives(X12)
| X12 = agatha
| X12 = butler
| X12 = charles ),
inference(variable_rename,status(thm),[c33]) ).
cnf(c35,axiom,
( ~ lives(X49)
| X49 = agatha
| X49 = butler
| X49 = charles ),
inference(split_conjunct,status(thm),[c34]) ).
cnf(c82,plain,
( skolem0002 = agatha
| skolem0002 = butler
| skolem0002 = charles ),
inference(resolution,status(thm),[c35,c41]) ).
cnf(c334,plain,
( skolem0002 = butler
| skolem0002 = charles
| killed(agatha,agatha) ),
inference(resolution,status(thm),[c82,c97]) ).
cnf(c3572,plain,
( skolem0002 = butler
| skolem0002 = charles ),
inference(resolution,status(thm),[c334,c6]) ).
cnf(c3593,plain,
( skolem0002 = charles
| killed(butler,agatha) ),
inference(resolution,status(thm),[c3572,c97]) ).
cnf(c3732,plain,
skolem0002 = charles,
inference(resolution,status(thm),[c3593,c216]) ).
cnf(c3753,plain,
hates(charles,agatha),
inference(resolution,status(thm),[c3732,c117]) ).
cnf(c3798,plain,
~ hates(agatha,agatha),
inference(resolution,status(thm),[c3753,c25]) ).
cnf(c3805,plain,
$false,
inference(resolution,status(thm),[c3798,c55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : PUZ001+1 : TPTP v8.1.0. Released v2.0.0.
% 0.06/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n022.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
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat May 28 22:21:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.57/1.75 # Version: 1.3
% 1.57/1.75 # SZS status Theorem
% 1.57/1.75 # SZS output start CNFRefutation
% See solution above
% 1.57/1.75
% 1.57/1.75 # Initial clauses : 22
% 1.57/1.75 # Processed clauses : 273
% 1.57/1.75 # Factors computed : 11
% 1.57/1.75 # Resolvents computed: 3786
% 1.57/1.75 # Tautologies deleted: 3
% 1.57/1.75 # Forward subsumed : 537
% 1.57/1.75 # Backward subsumed : 15
% 1.57/1.75 # -------- CPU Time ---------
% 1.57/1.75 # User time : 1.394 s
% 1.57/1.75 # System time : 0.015 s
% 1.57/1.75 # Total time : 1.409 s
%------------------------------------------------------------------------------