%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : RNG039-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n020.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 : 300s
% DateTime : Thu May 9 17:38:16 EDT 2024
% Result : Unsatisfiable 19.45s 19.62s
% Output : Refutation 19.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of clauses : 30 ( 17 unt; 0 nHn; 13 RR)
% Number of literals : 48 ( 0 equ; 19 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 62 ( 13 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_c_equals_d,negated_conjecture,
~ equalish(c,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_c_equals_d) ).
cnf(clause38,axiom,
sum(X30,X31,add(X31,X30)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).
cnf(sum_left_cancellation,axiom,
( ~ sum(X239,X240,X242)
| ~ sum(X241,X240,X242)
| equalish(X241,X239) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_left_cancellation) ).
cnf(c435,plain,
( ~ sum(X3196,X3195,add(X3195,X3194))
| equalish(X3194,X3196) ),
inference(resolution,[status(thm)],[sum_left_cancellation,clause38]) ).
cnf(clause32,axiom,
sum(X6,X6,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause32) ).
cnf(sum_substitution3,axiom,
( ~ equalish(X41,X44)
| ~ sum(X42,X43,X41)
| sum(X42,X43,X44) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_substitution3) ).
cnf(c30,plain,
( ~ equalish(additive_identity,X140)
| sum(X139,X139,X140) ),
inference(resolution,[status(thm)],[sum_substitution3,clause32]) ).
cnf(clause71,axiom,
product(X3,X3,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).
cnf(multiplication_is_well_defined,axiom,
( ~ product(X231,X233,X232)
| ~ product(X231,X233,X230)
| equalish(X232,X230) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplication_is_well_defined) ).
cnf(c376,plain,
( ~ product(X272,X272,X273)
| equalish(X273,X272) ),
inference(resolution,[status(thm)],[multiplication_is_well_defined,clause71]) ).
cnf(product_substitution3,axiom,
( ~ equalish(X94,X97)
| ~ product(X95,X96,X94)
| product(X95,X96,X97) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_substitution3) ).
cnf(c129,plain,
( ~ equalish(X99,X98)
| product(X99,X99,X98) ),
inference(resolution,[status(thm)],[product_substitution3,clause71]) ).
cnf(multiplicative_identity1,axiom,
product(additive_identity,X10,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_identity1) ).
cnf(c367,plain,
( ~ product(additive_identity,X502,X501)
| equalish(X501,additive_identity) ),
inference(resolution,[status(thm)],[multiplication_is_well_defined,multiplicative_identity1]) ).
cnf(closure_of_multiplication,axiom,
product(X13,X14,multiply(X13,X14)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure_of_multiplication) ).
cnf(c125,plain,
( ~ equalish(multiply(X911,X912),X910)
| product(X911,X912,X910) ),
inference(resolution,[status(thm)],[product_substitution3,closure_of_multiplication]) ).
cnf(clause35,axiom,
equalish(multiply(X12,X12),X12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).
cnf(transitivity,axiom,
( ~ equalish(X106,X108)
| ~ equalish(X108,X107)
| equalish(X106,X107) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity) ).
cnf(c144,plain,
( ~ equalish(X492,multiply(X493,X493))
| equalish(X492,X493) ),
inference(resolution,[status(thm)],[transitivity,clause35]) ).
cnf(clause44,axiom,
product(a,multiply(b,X261),multiply(X262,X261)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).
cnf(c560,plain,
( ~ product(a,multiply(b,X3885),X3886)
| equalish(X3886,multiply(X3884,X3885)) ),
inference(resolution,[status(thm)],[clause44,multiplication_is_well_defined]) ).
cnf(c19257,plain,
equalish(multiply(X5091,X5092),multiply(X5093,X5092)),
inference(resolution,[status(thm)],[c560,clause44]) ).
cnf(c30453,plain,
equalish(multiply(X5094,X5095),X5095),
inference(resolution,[status(thm)],[c19257,c144]) ).
cnf(c30558,plain,
product(X5097,X5098,X5098),
inference(resolution,[status(thm)],[c30453,c125]) ).
cnf(c30679,plain,
equalish(X5112,additive_identity),
inference(resolution,[status(thm)],[c30558,c367]) ).
cnf(c30822,plain,
product(X5133,X5133,additive_identity),
inference(resolution,[status(thm)],[c30679,c129]) ).
cnf(c31256,plain,
equalish(additive_identity,X5134),
inference(resolution,[status(thm)],[c30822,c376]) ).
cnf(c31373,plain,
sum(X5142,X5142,X5143),
inference(resolution,[status(thm)],[c31256,c30]) ).
cnf(c31506,plain,
equalish(X5150,X5149),
inference(resolution,[status(thm)],[c31373,c435]) ).
cnf(c31661,plain,
$false,
inference(resolution,[status(thm)],[c31506,prove_c_equals_d]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : RNG039-2 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.36 % Computer : n020.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed May 8 21:25:38 EDT 2024
% 0.14/0.36 % CPUTime :
% 19.45/19.62 % Version: 1.5
% 19.45/19.62 % SZS status Unsatisfiable
% 19.45/19.62 % SZS output start CNFRefutation
% See solution above
% 19.45/19.62
% 19.45/19.62 % Initial clauses : 74
% 19.45/19.62 % Processed clauses : 887
% 19.45/19.62 % Factors computed : 163
% 19.45/19.62 % Resolvents computed: 31631
% 19.45/19.62 % Tautologies deleted: 38
% 19.45/19.62 % Forward subsumed : 2719
% 19.45/19.62 % Backward subsumed : 328
% 19.45/19.62 % -------- CPU Time ---------
% 19.45/19.62 % User time : 19.175 s
% 19.45/19.62 % System time : 0.078 s
% 19.45/19.62 % Total time : 19.253 s
%------------------------------------------------------------------------------