%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : RNG038-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n013.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 17:38:15 EDT 2024
% Result : Unsatisfiable 70.76s 70.94s
% Output : Refutation 70.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of clauses : 34 ( 17 unt; 0 nHn; 18 RR)
% Number of literals : 64 ( 10 equ; 31 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 80 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_b_is_additive_identity,negated_conjecture,
b != additive_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_b_is_additive_identity) ).
cnf(addition_is_well_defined,axiom,
( ~ sum(X62,X63,X64)
| ~ sum(X62,X63,X61)
| X64 = X61 ),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',addition_is_well_defined) ).
cnf(closure_of_addition,axiom,
sum(X7,X8,add(X7,X8)),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',closure_of_addition) ).
cnf(left_inverse,axiom,
sum(additive_inverse(X9),X9,additive_identity),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',left_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(X30,X28,X32)
| ~ sum(X28,X31,X27)
| ~ sum(X30,X27,X29)
| sum(X32,X31,X29) ),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',associativity_of_addition2) ).
cnf(c28,plain,
( ~ sum(X303,X301,X302)
| ~ sum(X301,X300,additive_identity)
| sum(X302,X300,X303) ),
inference(resolution,[status(thm)],[associativity_of_addition2,additive_identity2]) ).
cnf(c555,plain,
( ~ sum(X490,additive_inverse(X489),X488)
| sum(X488,X489,X490) ),
inference(resolution,[status(thm)],[c28,left_inverse]) ).
cnf(c1067,plain,
sum(add(X501,additive_inverse(X500)),X500,X501),
inference(resolution,[status(thm)],[c555,closure_of_addition]) ).
cnf(c1093,plain,
( ~ sum(add(X3000,additive_inverse(X2999)),X2999,X2998)
| X2998 = X3000 ),
inference(resolution,[status(thm)],[c1067,addition_is_well_defined]) ).
cnf(associativity_of_addition1,axiom,
( ~ sum(X16,X14,X18)
| ~ sum(X14,X17,X13)
| ~ sum(X18,X17,X15)
| sum(X16,X13,X15) ),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',associativity_of_addition1) ).
cnf(c8,plain,
( ~ sum(X191,X190,X190)
| ~ sum(X190,X188,X189)
| sum(X191,X189,X189) ),
inference(factor,[status(thm)],[associativity_of_addition1]) ).
cnf(commutativity_of_addition,axiom,
( ~ sum(X20,X22,X21)
| sum(X22,X20,X21) ),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',commutativity_of_addition) ).
cnf(c1118,plain,
sum(X521,add(X520,additive_inverse(X521)),X520),
inference(resolution,[status(thm)],[c1067,commutativity_of_addition]) ).
cnf(c1295,plain,
( ~ sum(X555,X554,X554)
| sum(X555,X553,X553) ),
inference(resolution,[status(thm)],[c1118,c8]) ).
cnf(some_property,plain,
( X52 != additive_identity
| product(X52,h(X52,X53),X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',some_property) ).
cnf(symmetry,axiom,
( X11 != X12
| X12 = X11 ),
theory(equality) ).
cnf(right_inverse,axiom,
sum(X10,additive_inverse(X10),additive_identity),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',right_inverse) ).
cnf(additive_identity1,axiom,
sum(additive_identity,X3,X3),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',additive_identity1) ).
cnf(c47,plain,
( ~ sum(additive_identity,X68,X69)
| X69 = X68 ),
inference(resolution,[status(thm)],[addition_is_well_defined,additive_identity1]) ).
cnf(c51,plain,
additive_identity = additive_inverse(additive_identity),
inference(resolution,[status(thm)],[c47,right_inverse]) ).
cnf(c65,plain,
additive_inverse(additive_identity) = additive_identity,
inference(resolution,[status(thm)],[c51,symmetry]) ).
cnf(c74,plain,
product(additive_inverse(additive_identity),h(additive_inverse(additive_identity),X438),X438),
inference(resolution,[status(thm)],[c65,some_property]) ).
cnf(c222,plain,
( ~ sum(X277,additive_identity,additive_identity)
| sum(X277,X278,X278) ),
inference(resolution,[status(thm)],[c8,additive_identity1]) ).
cnf(c459,plain,
sum(additive_inverse(additive_identity),X285,X285),
inference(resolution,[status(thm)],[c222,left_inverse]) ).
cnf(c488,plain,
sum(X287,additive_inverse(additive_identity),X287),
inference(resolution,[status(thm)],[c459,commutativity_of_addition]) ).
cnf(distributivity3,axiom,
( ~ product(X95,X98,X99)
| ~ product(X97,X98,X93)
| ~ sum(X95,X97,X94)
| ~ product(X94,X98,X96)
| sum(X99,X93,X96) ),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',distributivity3) ).
cnf(c93,plain,
( ~ product(X515,X516,X512)
| ~ product(X514,X516,X513)
| ~ sum(X515,X514,X515)
| sum(X512,X513,X512) ),
inference(factor,[status(thm)],[distributivity3]) ).
cnf(c1233,plain,
( ~ product(X6122,X6124,X6123)
| ~ product(additive_inverse(additive_identity),X6124,X6125)
| sum(X6123,X6125,X6123) ),
inference(resolution,[status(thm)],[c93,c488]) ).
cnf(c80927,plain,
( ~ product(additive_inverse(additive_identity),X6137,X6136)
| sum(X6136,X6136,X6136) ),
inference(factor,[status(thm)],[c1233]) ).
cnf(c80933,plain,
sum(X6138,X6138,X6138),
inference(resolution,[status(thm)],[c80927,c74]) ).
cnf(c81064,plain,
sum(X6139,X6140,X6140),
inference(resolution,[status(thm)],[c80933,c1295]) ).
cnf(c81375,plain,
X6149 = X6150,
inference(resolution,[status(thm)],[c81064,c1093]) ).
cnf(c81448,plain,
$false,
inference(resolution,[status(thm)],[c81375,prove_b_is_additive_identity]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG038-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35 % Computer : n013.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed May 8 21:15:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 70.76/70.94 % Version: 1.5
% 70.76/70.94 % SZS status Unsatisfiable
% 70.76/70.94 % SZS output start CNFRefutation
% See solution above
% 70.76/70.94
% 70.76/70.94 % Initial clauses : 30
% 70.76/70.94 % Processed clauses : 1177
% 70.76/70.94 % Factors computed : 143
% 70.76/70.94 % Resolvents computed: 81315
% 70.76/70.94 % Tautologies deleted: 52
% 70.76/70.94 % Forward subsumed : 3817
% 70.76/70.94 % Backward subsumed : 594
% 70.76/70.94 % -------- CPU Time ---------
% 70.76/70.94 % User time : 70.410 s
% 70.76/70.94 % System time : 0.170 s
% 70.76/70.94 % Total time : 70.580 s
%------------------------------------------------------------------------------