TSTP Solution File: GRP001-4 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GRP001-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n005.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 : Sat Jul 16 11:21:12 EDT 2022
% Result : Unsatisfiable 23.16s 23.34s
% Output : Refutation 23.16s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named eq_axiom)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_b_times_a_is_c,negated_conjecture,
multiply(b,a) != c,
input ).
cnf(a_times_b_is_c,plain,
multiply(a,b) = c,
input ).
cnf(transitivity,axiom,
( X16 != X17
| X17 != X15
| X16 = X15 ),
eq_axiom ).
cnf(c13,plain,
( X50 != multiply(a,b)
| X50 = c ),
inference(resolution,status(thm),[transitivity,a_times_b_is_c]) ).
cnf(symmetry,axiom,
( X5 != X6
| X6 = X5 ),
eq_axiom ).
cnf(left_identity,axiom,
multiply(identity,X3) = X3,
input ).
cnf(c9,plain,
( X20 != multiply(identity,X21)
| X20 = X21 ),
inference(resolution,status(thm),[transitivity,left_identity]) ).
cnf(associativity,axiom,
multiply(multiply(X9,X10),X8) = multiply(X9,multiply(X10,X8)),
input ).
cnf(c4,plain,
multiply(X32,multiply(X33,X31)) = multiply(multiply(X32,X33),X31),
inference(resolution,status(thm),[associativity,symmetry]) ).
cnf(c33,plain,
( X129 != multiply(X130,multiply(X128,X131))
| X129 = multiply(multiply(X130,X128),X131) ),
inference(resolution,status(thm),[c4,transitivity]) ).
cnf(reflexivity,axiom,
X2 = X2,
eq_axiom ).
cnf(squareness,plain,
multiply(X4,X4) = identity,
input ).
cnf(c0,plain,
( X25 != X24
| X23 != X22
| multiply(X25,X23) = multiply(X24,X22) ),
eq_axiom ).
cnf(c25,plain,
( X98 != X96
| multiply(X98,multiply(X97,X97)) = multiply(X96,identity) ),
inference(resolution,status(thm),[c0,squareness]) ).
cnf(c230,plain,
multiply(X223,multiply(X222,X222)) = multiply(X223,identity),
inference(resolution,status(thm),[c25,reflexivity]) ).
cnf(c1,plain,
identity = multiply(X11,X11),
inference(resolution,status(thm),[symmetry,squareness]) ).
cnf(c23,plain,
( X76 != X74
| multiply(X76,identity) = multiply(X74,multiply(X75,X75)) ),
inference(resolution,status(thm),[c0,c1]) ).
cnf(c162,plain,
multiply(X162,identity) = multiply(X162,multiply(X161,X161)),
inference(resolution,status(thm),[c23,reflexivity]) ).
cnf(c624,plain,
multiply(X294,identity) = multiply(multiply(X294,X295),X295),
inference(resolution,status(thm),[c162,c33]) ).
cnf(c28,plain,
( X87 != X86
| multiply(X87,X88) = multiply(X86,X88) ),
inference(resolution,status(thm),[c0,reflexivity]) ).
cnf(c192,plain,
multiply(multiply(X186,X186),X187) = multiply(identity,X187),
inference(resolution,status(thm),[c28,squareness]) ).
cnf(c769,plain,
multiply(multiply(X189,X189),X188) = X188,
inference(resolution,status(thm),[c192,c9]) ).
cnf(c787,plain,
( X342 != multiply(multiply(X340,X340),X341)
| X342 = X341 ),
inference(resolution,status(thm),[c769,transitivity]) ).
cnf(c1482,plain,
multiply(X352,identity) = X352,
inference(resolution,status(thm),[c787,c624]) ).
cnf(c1567,plain,
( X394 != multiply(X393,identity)
| X394 = X393 ),
inference(resolution,status(thm),[c1482,transitivity]) ).
cnf(c1841,plain,
multiply(X406,multiply(X405,X405)) = X406,
inference(resolution,status(thm),[c1567,c230]) ).
cnf(c1936,plain,
X408 = multiply(X408,multiply(X407,X407)),
inference(resolution,status(thm),[c1841,symmetry]) ).
cnf(c1943,plain,
X413 = multiply(multiply(X413,X414),X414),
inference(resolution,status(thm),[c1936,c33]) ).
cnf(c2021,plain,
multiply(multiply(X429,X428),X428) = X429,
inference(resolution,status(thm),[c1943,symmetry]) ).
cnf(c2071,plain,
( X921 != multiply(multiply(X920,X922),X922)
| X921 = X920 ),
inference(resolution,status(thm),[c2021,transitivity]) ).
cnf(c24,plain,
( X82 != X84
| multiply(X82,multiply(multiply(X85,X83),X81)) = multiply(X84,multiply(X85,multiply(X83,X81))) ),
inference(resolution,status(thm),[c0,associativity]) ).
cnf(c11,plain,
( X43 != multiply(multiply(X42,X44),X41)
| X43 = multiply(X42,multiply(X44,X41)) ),
inference(resolution,status(thm),[transitivity,associativity]) ).
cnf(c49,plain,
identity = multiply(X110,multiply(X111,multiply(X110,X111))),
inference(resolution,status(thm),[c11,c1]) ).
cnf(c276,plain,
multiply(identity,multiply(multiply(X1764,X1766),X1765)) = multiply(multiply(X1762,multiply(X1763,multiply(X1762,X1763))),multiply(X1764,multiply(X1766,X1765))),
inference(resolution,status(thm),[c49,c24]) ).
cnf(c12082,plain,
multiply(identity,multiply(multiply(X2095,X2094),X2095)) = X2094,
inference(resolution,status(thm),[c276,c2071]) ).
cnf(c15512,plain,
X2222 = multiply(identity,multiply(multiply(X2221,X2222),X2221)),
inference(resolution,status(thm),[c12082,symmetry]) ).
cnf(c17384,plain,
X2224 = multiply(multiply(X2223,X2224),X2223),
inference(resolution,status(thm),[c15512,c9]) ).
cnf(c17434,plain,
multiply(multiply(X2242,X2241),X2242) = X2241,
inference(resolution,status(thm),[c17384,symmetry]) ).
cnf(c17642,plain,
( X2455 != multiply(multiply(X2454,X2456),X2454)
| X2455 = X2456 ),
inference(resolution,status(thm),[c17434,transitivity]) ).
cnf(c796,plain,
X191 = multiply(multiply(X190,X190),X191),
inference(resolution,status(thm),[c769,symmetry]) ).
cnf(c803,plain,
X198 = multiply(X199,multiply(X199,X198)),
inference(resolution,status(thm),[c796,c11]) ).
cnf(c839,plain,
multiply(X3603,X3605) = multiply(multiply(X3604,multiply(X3604,X3603)),X3605),
inference(resolution,status(thm),[c803,c28]) ).
cnf(c35586,plain,
multiply(X3607,X3606) = multiply(X3606,X3607),
inference(resolution,status(thm),[c839,c17642]) ).
cnf(c35664,plain,
multiply(b,a) = c,
inference(resolution,status(thm),[c35586,c13]) ).
cnf(c36932,plain,
$false,
inference(resolution,status(thm),[c35664,prove_b_times_a_is_c]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP001-4 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n005.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 : Tue Jun 14 06:11:39 EDT 2022
% 0.13/0.35 % CPUTime :
% 23.16/23.34 # Version: 1.3
% 23.16/23.34 # SZS status Unsatisfiable
% 23.16/23.34 # SZS output start CNFRefutation
% See solution above
% 23.16/23.34
% 23.16/23.34 # Initial clauses : 9
% 23.16/23.34 # Processed clauses : 746
% 23.16/23.34 # Factors computed : 0
% 23.16/23.34 # Resolvents computed: 36957
% 23.16/23.34 # Tautologies deleted: 1
% 23.16/23.34 # Forward subsumed : 1823
% 23.16/23.34 # Backward subsumed : 51
% 23.16/23.34 # -------- CPU Time ---------
% 23.16/23.34 # User time : 22.879 s
% 23.16/23.34 # System time : 0.090 s
% 23.16/23.34 # Total time : 22.969 s
%------------------------------------------------------------------------------