TSTP Solution File: RNG003-1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : RNG003-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n017.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 37.07s 37.40s
% Output : Refutation 37.07s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_a_equals_b,negated_conjecture,
a != b,
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(X60,X59,X57)
| ~ sum(X60,X59,X58)
| X57 = X58 ),
input ).
cnf(c45,plain,
( ~ sum(X84,additive_identity,X85)
| X85 = X84 ),
inference(resolution,status(thm),[addition_is_well_defined,additive_identity2]) ).
cnf(commutativity_of_addition,axiom,
( ~ sum(X22,X21,X20)
| sum(X21,X22,X20) ),
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(X15,X16,X17)
| ~ sum(X16,X13,X18)
| ~ sum(X17,X13,X14)
| sum(X15,X18,X14) ),
input ).
cnf(c9,plain,
( ~ sum(X179,X176,additive_identity)
| ~ sum(X176,X177,X178)
| sum(X179,X178,X177) ),
inference(resolution,status(thm),[associativity_of_addition1,additive_identity1]) ).
cnf(c241,plain,
( ~ sum(X258,additive_identity,additive_identity)
| sum(X258,X257,X257) ),
inference(resolution,status(thm),[c9,additive_identity1]) ).
cnf(c456,plain,
sum(additive_inverse(additive_identity),X264,X264),
inference(resolution,status(thm),[c241,left_inverse]) ).
cnf(associativity_of_addition2,axiom,
( ~ sum(X29,X30,X31)
| ~ sum(X30,X27,X32)
| ~ sum(X29,X32,X28)
| sum(X31,X27,X28) ),
input ).
cnf(c27,plain,
( ~ sum(X252,X254,X251)
| ~ sum(X254,X253,additive_identity)
| sum(X251,X253,X252) ),
inference(resolution,status(thm),[associativity_of_addition2,additive_identity2]) ).
cnf(c449,plain,
( ~ sum(X429,additive_inverse(X431),X430)
| sum(X430,X431,X429) ),
inference(resolution,status(thm),[c27,left_inverse]) ).
cnf(c1106,plain,
sum(additive_inverse(X440),X440,additive_inverse(additive_identity)),
inference(resolution,status(thm),[c449,c456]) ).
cnf(c1123,plain,
sum(X460,additive_inverse(X460),additive_inverse(additive_identity)),
inference(resolution,status(thm),[c1106,commutativity_of_addition]) ).
cnf(c477,plain,
( ~ sum(X1924,X1921,additive_inverse(additive_identity))
| ~ sum(X1921,X1923,X1922)
| sum(X1924,X1922,X1923) ),
inference(resolution,status(thm),[c456,associativity_of_addition1]) ).
cnf(c28123,plain,
( ~ sum(additive_inverse(X2288),X2289,X2290)
| sum(X2288,X2290,X2289) ),
inference(resolution,status(thm),[c477,c1123]) ).
cnf(a_plus_c_is_d,plain,
sum(a,c,d),
input ).
cnf(c18,plain,
sum(c,a,d),
inference(resolution,status(thm),[commutativity_of_addition,a_plus_c_is_d]) ).
cnf(right_inverse,axiom,
sum(X10,additive_inverse(X10),additive_identity),
input ).
cnf(c450,plain,
( ~ sum(X517,X519,X518)
| sum(X518,additive_inverse(X519),X517) ),
inference(resolution,status(thm),[c27,right_inverse]) ).
cnf(c1873,plain,
sum(d,additive_inverse(a),c),
inference(resolution,status(thm),[c450,c18]) ).
cnf(c2137,plain,
sum(additive_inverse(a),d,c),
inference(resolution,status(thm),[c1873,commutativity_of_addition]) ).
cnf(c8,plain,
( ~ sum(X173,X170,X172)
| ~ sum(X170,additive_inverse(X172),X171)
| sum(X173,X171,additive_identity) ),
inference(resolution,status(thm),[associativity_of_addition1,right_inverse]) ).
cnf(b_plus_c_is_d,plain,
sum(b,c,d),
input ).
cnf(c1856,plain,
sum(d,additive_inverse(c),b),
inference(resolution,status(thm),[c450,b_plus_c_is_d]) ).
cnf(c1984,plain,
( ~ sum(X3780,d,c)
| sum(X3780,b,additive_identity) ),
inference(resolution,status(thm),[c1856,c8]) ).
cnf(c48652,plain,
sum(additive_inverse(a),b,additive_identity),
inference(resolution,status(thm),[c1984,c2137]) ).
cnf(c48697,plain,
sum(a,additive_identity,b),
inference(resolution,status(thm),[c48652,c28123]) ).
cnf(c48736,plain,
b = a,
inference(resolution,status(thm),[c48697,c45]) ).
cnf(c48915,plain,
a = b,
inference(resolution,status(thm),[c48736,symmetry]) ).
cnf(c48968,plain,
$false,
inference(resolution,status(thm),[c48915,prove_a_equals_b]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : RNG003-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.11/0.33 % Computer : n017.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Mon May 30 07:24:25 EDT 2022
% 0.11/0.33 % CPUTime :
% 37.07/37.40 # Version: 1.3
% 37.07/37.40 # SZS status Unsatisfiable
% 37.07/37.40 # SZS output start CNFRefutation
% See solution above
% 37.07/37.40
% 37.07/37.40 # Initial clauses : 28
% 37.07/37.40 # Processed clauses : 944
% 37.07/37.40 # Factors computed : 21
% 37.07/37.40 # Resolvents computed: 49001
% 37.07/37.40 # Tautologies deleted: 22
% 37.07/37.40 # Forward subsumed : 2791
% 37.07/37.40 # Backward subsumed : 12
% 37.07/37.40 # -------- CPU Time ---------
% 37.07/37.40 # User time : 36.838 s
% 37.07/37.40 # System time : 0.089 s
% 37.07/37.40 # Total time : 36.927 s
%------------------------------------------------------------------------------