%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : RNG003-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n025.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 17:38:10 EDT 2024
% Result : Unsatisfiable 39.82s 40.07s
% Output : Refutation 39.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 16 ( 10 unt; 0 nHn; 14 RR)
% Number of literals : 26 ( 7 equ; 11 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 22 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_a_equals_b,negated_conjecture,
a != b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_equals_b) ).
cnf(symmetry,axiom,
( X12 != X11
| X11 = X12 ),
theory(equality) ).
cnf(b_plus_c_is_d,plain,
sum(b,c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_plus_c_is_d) ).
cnf(right_inverse,axiom,
sum(X10,additive_inverse(X10),additive_identity),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',right_inverse) ).
cnf(additive_identity2,axiom,
sum(X4,additive_identity,X4),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',additive_identity2) ).
cnf(associativity_of_addition2,axiom,
( ~ sum(X27,X25,X26)
| ~ sum(X25,X29,X28)
| ~ sum(X27,X28,X30)
| sum(X26,X29,X30) ),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',associativity_of_addition2) ).
cnf(c32,plain,
( ~ sum(X294,X293,X292)
| ~ sum(X293,X291,additive_identity)
| sum(X292,X291,X294) ),
inference(resolution,[status(thm)],[associativity_of_addition2,additive_identity2]) ).
cnf(c560,plain,
( ~ sum(X668,X666,X667)
| sum(X667,additive_inverse(X666),X668) ),
inference(resolution,[status(thm)],[c32,right_inverse]) ).
cnf(c2386,plain,
sum(d,additive_inverse(c),b),
inference(resolution,[status(thm)],[c560,b_plus_c_is_d]) ).
cnf(addition_is_well_defined,axiom,
( ~ sum(X60,X58,X61)
| ~ sum(X60,X58,X59)
| X61 = X59 ),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',addition_is_well_defined) ).
cnf(a_plus_c_is_d,plain,
sum(a,c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_plus_c_is_d) ).
cnf(c2380,plain,
sum(d,additive_inverse(c),a),
inference(resolution,[status(thm)],[c560,a_plus_c_is_d]) ).
cnf(c2432,plain,
( ~ sum(d,additive_inverse(c),X3850)
| X3850 = a ),
inference(resolution,[status(thm)],[c2380,addition_is_well_defined]) ).
cnf(c50150,plain,
b = a,
inference(resolution,[status(thm)],[c2432,c2386]) ).
cnf(c50391,plain,
a = b,
inference(resolution,[status(thm)],[c50150,symmetry]) ).
cnf(c50531,plain,
$false,
inference(resolution,[status(thm)],[c50391,prove_a_equals_b]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : RNG003-1 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n025.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 : 300
% 0.13/0.35 % DateTime : Wed May 8 21:14:23 EDT 2024
% 0.13/0.35 % CPUTime :
% 39.82/40.07 % Version: 1.5
% 39.82/40.07 % SZS status Unsatisfiable
% 39.82/40.07 % SZS output start CNFRefutation
% See solution above
% 39.82/40.07
% 39.82/40.07 % Initial clauses : 28
% 39.82/40.07 % Processed clauses : 934
% 39.82/40.07 % Factors computed : 95
% 39.82/40.07 % Resolvents computed: 50496
% 39.82/40.07 % Tautologies deleted: 41
% 39.82/40.07 % Forward subsumed : 2832
% 39.82/40.07 % Backward subsumed : 12
% 39.82/40.07 % -------- CPU Time ---------
% 39.82/40.07 % User time : 39.608 s
% 39.82/40.07 % System time : 0.106 s
% 39.82/40.07 % Total time : 39.714 s
%------------------------------------------------------------------------------