TSTP Solution File: NUM001-1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : NUM001-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 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 : 600s
% DateTime : Mon Jul 18 13:33:50 EDT 2022
% Result : Unsatisfiable 64.23s 64.48s
% Output : Refutation 64.23s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_equation,negated_conjecture,
~ equalish(add(add(a,b),c),add(a,add(b,c))),
input ).
cnf(transitivity,axiom,
( ~ equalish(X10,X9)
| ~ equalish(X9,X11)
| equalish(X10,X11) ),
input ).
cnf(commutativity_of_addition,axiom,
equalish(add(X4,X3),add(X3,X4)),
input ).
cnf(c1,plain,
( ~ equalish(X18,add(X19,X17))
| equalish(X18,add(X17,X19)) ),
inference(resolution,status(thm),[transitivity,commutativity_of_addition]) ).
cnf(commutativity2,axiom,
equalish(subtract(add(X41,X40),X42),add(subtract(X41,X42),X40)),
input ).
cnf(c24,plain,
equalish(subtract(add(X207,X208),X209),add(X208,subtract(X207,X209))),
inference(resolution,status(thm),[commutativity2,c1]) ).
cnf(addition_inverts_subtraction1,axiom,
equalish(subtract(add(X6,X5),X5),X6),
input ).
cnf(c2,plain,
( ~ equalish(X25,subtract(add(X24,X26),X26))
| equalish(X25,X24) ),
inference(resolution,status(thm),[transitivity,addition_inverts_subtraction1]) ).
cnf(subtract_substitution2,axiom,
( ~ equalish(X105,X103)
| ~ equalish(X106,subtract(X104,X105))
| equalish(X106,subtract(X104,X103)) ),
input ).
cnf(commutativity1,axiom,
equalish(add(subtract(X28,X27),X29),subtract(add(X28,X29),X27)),
input ).
cnf(c13,plain,
equalish(add(subtract(X33,X34),X34),X33),
inference(resolution,status(thm),[commutativity1,c2]) ).
cnf(c15,plain,
( ~ equalish(X43,add(subtract(X45,X44),X44))
| equalish(X43,X45) ),
inference(resolution,status(thm),[c13,transitivity]) ).
cnf(c29,plain,
equalish(add(X49,subtract(X48,X49)),X48),
inference(resolution,status(thm),[c15,commutativity_of_addition]) ).
cnf(addition_inverts_subtraction2,axiom,
equalish(X8,subtract(add(X8,X7),X7)),
input ).
cnf(subtract_substitution1,axiom,
( ~ equalish(X89,X87)
| ~ equalish(X90,subtract(X89,X88))
| equalish(X90,subtract(X87,X88)) ),
input ).
cnf(c99,plain,
( ~ equalish(add(X97,X98),X96)
| equalish(X97,subtract(X96,X98)) ),
inference(resolution,status(thm),[subtract_substitution1,addition_inverts_subtraction2]) ).
cnf(c114,plain,
equalish(X111,subtract(X110,subtract(X110,X111))),
inference(resolution,status(thm),[c99,c29]) ).
cnf(c134,plain,
( ~ equalish(subtract(X152,X151),X150)
| equalish(X151,subtract(X152,X150)) ),
inference(resolution,status(thm),[c114,subtract_substitution2]) ).
cnf(c36,plain,
( ~ equalish(X52,add(X53,subtract(X54,X53)))
| equalish(X52,X54) ),
inference(resolution,status(thm),[c29,transitivity]) ).
cnf(c111,plain,
equalish(X108,subtract(add(X107,X108),X107)),
inference(resolution,status(thm),[c99,commutativity_of_addition]) ).
cnf(c25,plain,
( ~ equalish(X229,subtract(add(X228,X231),X230))
| equalish(X229,add(subtract(X228,X230),X231)) ),
inference(resolution,status(thm),[commutativity2,transitivity]) ).
cnf(c582,plain,
equalish(X235,add(subtract(X234,X234),X235)),
inference(resolution,status(thm),[c25,c111]) ).
cnf(c591,plain,
equalish(subtract(X245,subtract(X244,X244)),X245),
inference(resolution,status(thm),[c582,c36]) ).
cnf(c661,plain,
equalish(subtract(X259,X259),subtract(X260,X260)),
inference(resolution,status(thm),[c591,c134]) ).
cnf(c747,plain,
equalish(X270,subtract(X270,subtract(X271,X271))),
inference(resolution,status(thm),[c661,c134]) ).
cnf(c800,plain,
equalish(add(X272,subtract(X273,X273)),X272),
inference(resolution,status(thm),[c747,c2]) ).
cnf(c827,plain,
( ~ equalish(X442,add(X443,subtract(X441,X441)))
| equalish(X442,X443) ),
inference(resolution,status(thm),[c800,transitivity]) ).
cnf(c1705,plain,
equalish(subtract(add(X450,X449),X450),X449),
inference(resolution,status(thm),[c827,c24]) ).
cnf(c1800,plain,
( ~ equalish(X478,subtract(add(X477,X479),X477))
| equalish(X478,X479) ),
inference(resolution,status(thm),[c1705,transitivity]) ).
cnf(associativity_of_addition,axiom,
equalish(add(X13,add(X12,X14)),add(add(X13,X12),X14)),
input ).
cnf(c121,plain,
( ~ equalish(X119,X117)
| equalish(X118,subtract(add(X118,X119),X117)) ),
inference(resolution,status(thm),[subtract_substitution2,addition_inverts_subtraction2]) ).
cnf(c159,plain,
equalish(X1010,subtract(add(X1010,add(X1013,add(X1011,X1012))),add(add(X1013,X1011),X1012))),
inference(resolution,status(thm),[c121,associativity_of_addition]) ).
cnf(c7516,plain,
equalish(add(add(X6928,X6929),X6927),add(X6928,add(X6929,X6927))),
inference(resolution,status(thm),[c159,c1800]) ).
cnf(c104293,plain,
$false,
inference(resolution,status(thm),[c7516,prove_equation]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : NUM001-1 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Wed Jul 6 03:35:18 EDT 2022
% 0.13/0.35 % CPUTime :
% 64.23/64.48 # Version: 1.3
% 64.23/64.48 # SZS status Unsatisfiable
% 64.23/64.48 # SZS output start CNFRefutation
% See solution above
% 64.23/64.48
% 64.23/64.48 # Initial clauses : 13
% 64.23/64.48 # Processed clauses : 1131
% 64.23/64.48 # Factors computed : 0
% 64.23/64.48 # Resolvents computed: 104376
% 64.23/64.48 # Tautologies deleted: 1
% 64.23/64.48 # Forward subsumed : 1380
% 64.23/64.48 # Backward subsumed : 0
% 64.23/64.48 # -------- CPU Time ---------
% 64.23/64.48 # User time : 63.895 s
% 64.23/64.48 # System time : 0.220 s
% 64.23/64.48 # Total time : 64.115 s
%------------------------------------------------------------------------------