TSTP Solution File: RNG002-1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : RNG002-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n023.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 20:39:25 EDT 2022
% Result : Unsatisfiable 38.93s 39.15s
% Output : Refutation 38.93s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_b_equals_c,negated_conjecture,
b != c,
input ).
cnf(symmetry,axiom,
( X12 != X11
| X11 = X12 ),
eq_axiom ).
cnf(additive_identity2,axiom,
sum(X4,additive_identity,X4),
input ).
cnf(addition_is_well_defined,axiom,
( ~ sum(X59,X58,X60)
| ~ sum(X59,X58,X57)
| X60 = X57 ),
input ).
cnf(c47,plain,
( ~ sum(X84,additive_identity,X85)
| X85 = X84 ),
inference(resolution,status(thm),[addition_is_well_defined,additive_identity2]) ).
cnf(commutativity_of_addition,axiom,
( ~ sum(X21,X20,X22)
| sum(X20,X21,X22) ),
input ).
cnf(left_inverse,axiom,
sum(additive_inverse(X9),X9,additive_identity),
input ).
cnf(additive_identity1,axiom,
sum(additive_identity,X3,X3),
input ).
cnf(associativity_of_addition1,axiom,
( ~ sum(X14,X15,X18)
| ~ sum(X15,X17,X16)
| ~ sum(X18,X17,X13)
| sum(X14,X16,X13) ),
input ).
cnf(c11,plain,
( ~ sum(X186,X184,additive_identity)
| ~ sum(X184,X185,X183)
| sum(X186,X183,X185) ),
inference(resolution,status(thm),[associativity_of_addition1,additive_identity1]) ).
cnf(c262,plain,
( ~ sum(X252,additive_identity,additive_identity)
| sum(X252,X253,X253) ),
inference(resolution,status(thm),[c11,additive_identity1]) ).
cnf(c440,plain,
sum(additive_inverse(additive_identity),X260,X260),
inference(resolution,status(thm),[c262,left_inverse]) ).
cnf(associativity_of_addition2,axiom,
( ~ sum(X26,X27,X30)
| ~ sum(X27,X29,X28)
| ~ sum(X26,X28,X25)
| sum(X30,X29,X25) ),
input ).
cnf(c28,plain,
( ~ sum(X254,X255,X257)
| ~ sum(X255,X256,additive_identity)
| sum(X257,X256,X254) ),
inference(resolution,status(thm),[associativity_of_addition2,additive_identity2]) ).
cnf(c443,plain,
( ~ sum(X428,additive_inverse(X429),X430)
| sum(X430,X429,X428) ),
inference(resolution,status(thm),[c28,left_inverse]) ).
cnf(c1127,plain,
sum(additive_inverse(X449),X449,additive_inverse(additive_identity)),
inference(resolution,status(thm),[c443,c440]) ).
cnf(c1277,plain,
sum(X469,additive_inverse(X469),additive_inverse(additive_identity)),
inference(resolution,status(thm),[c1127,commutativity_of_addition]) ).
cnf(c469,plain,
( ~ sum(X1803,X1801,additive_inverse(additive_identity))
| ~ sum(X1801,X1802,X1800)
| sum(X1803,X1800,X1802) ),
inference(resolution,status(thm),[c440,associativity_of_addition1]) ).
cnf(c25707,plain,
( ~ sum(additive_inverse(X2198),X2197,X2199)
| sum(X2198,X2199,X2197) ),
inference(resolution,status(thm),[c469,c1277]) ).
cnf(a_plus_b_is_d,plain,
sum(a,b,d),
input ).
cnf(right_inverse,axiom,
sum(X10,additive_inverse(X10),additive_identity),
input ).
cnf(c444,plain,
( ~ sum(X515,X517,X516)
| sum(X516,additive_inverse(X517),X515) ),
inference(resolution,status(thm),[c28,right_inverse]) ).
cnf(c1877,plain,
sum(d,additive_inverse(b),a),
inference(resolution,status(thm),[c444,a_plus_b_is_d]) ).
cnf(c2046,plain,
sum(additive_inverse(b),d,a),
inference(resolution,status(thm),[c1877,commutativity_of_addition]) ).
cnf(c9,plain,
( ~ sum(X169,X168,X170)
| ~ sum(X168,additive_inverse(X170),X167)
| sum(X169,X167,additive_identity) ),
inference(resolution,status(thm),[associativity_of_addition1,right_inverse]) ).
cnf(a_plus_c_is_d,plain,
sum(a,c,d),
input ).
cnf(c17,plain,
sum(c,a,d),
inference(resolution,status(thm),[commutativity_of_addition,a_plus_c_is_d]) ).
cnf(c1856,plain,
sum(d,additive_inverse(a),c),
inference(resolution,status(thm),[c444,c17]) ).
cnf(c1905,plain,
( ~ sum(X3637,d,a)
| sum(X3637,c,additive_identity) ),
inference(resolution,status(thm),[c1856,c9]) ).
cnf(c49619,plain,
sum(additive_inverse(b),c,additive_identity),
inference(resolution,status(thm),[c1905,c2046]) ).
cnf(c49651,plain,
sum(b,additive_identity,c),
inference(resolution,status(thm),[c49619,c25707]) ).
cnf(c49768,plain,
c = b,
inference(resolution,status(thm),[c49651,c47]) ).
cnf(c49857,plain,
b = c,
inference(resolution,status(thm),[c49768,symmetry]) ).
cnf(c49892,plain,
$false,
inference(resolution,status(thm),[c49857,prove_b_equals_c]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : RNG002-1 : TPTP v8.1.0. Released v1.0.0.
% 0.09/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n023.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 : Mon May 30 14:12:27 EDT 2022
% 0.12/0.33 % CPUTime :
% 38.93/39.15 # Version: 1.3
% 38.93/39.15 # SZS status Unsatisfiable
% 38.93/39.15 # SZS output start CNFRefutation
% See solution above
% 38.93/39.15
% 38.93/39.15 # Initial clauses : 28
% 38.93/39.15 # Processed clauses : 941
% 38.93/39.15 # Factors computed : 20
% 38.93/39.15 # Resolvents computed: 49972
% 38.93/39.15 # Tautologies deleted: 19
% 38.93/39.15 # Forward subsumed : 2716
% 38.93/39.15 # Backward subsumed : 6
% 38.93/39.15 # -------- CPU Time ---------
% 38.93/39.15 # User time : 38.695 s
% 38.93/39.15 # System time : 0.122 s
% 38.93/39.15 # Total time : 38.817 s
%------------------------------------------------------------------------------