%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : BOO003-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n004.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 17:16:42 EDT 2024
% Result : Unsatisfiable 7.44s 7.62s
% Output : Refutation 7.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of clauses : 25 ( 13 unt; 0 nHn; 14 RR)
% Number of literals : 50 ( 16 equ; 26 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 58 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_both_equalities,negated_conjecture,
~ product(x,x,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_both_equalities) ).
cnf(reflexivity,axiom,
X2 = X2,
theory(equality) ).
cnf(closure_of_multiplication,axiom,
product(X9,X10,multiply(X9,X10)),
file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',closure_of_multiplication) ).
cnf(commutativity_of_multiplication,axiom,
( ~ product(X23,X24,X25)
| product(X24,X23,X25) ),
file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',commutativity_of_multiplication) ).
cnf(c13,plain,
product(X39,X40,multiply(X40,X39)),
inference(resolution,[status(thm)],[commutativity_of_multiplication,closure_of_multiplication]) ).
cnf(c4,axiom,
( X176 != X173
| X171 != X172
| X175 != X174
| ~ product(X176,X171,X175)
| product(X173,X172,X174) ),
theory(equality) ).
cnf(c218,plain,
( X1067 != X1068
| X1066 != X1065
| multiply(X1066,X1067) != X1069
| product(X1068,X1065,X1069) ),
inference(resolution,[status(thm)],[c4,c13]) ).
cnf(symmetry,axiom,
( X20 != X21
| X21 = X20 ),
theory(equality) ).
cnf(additive_identity2,axiom,
sum(X4,additive_identity,X4),
file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',additive_identity2) ).
cnf(addition_is_well_defined,axiom,
( ~ sum(X70,X71,X72)
| ~ sum(X70,X71,X73)
| X72 = X73 ),
file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',addition_is_well_defined) ).
cnf(c50,plain,
( ~ sum(X100,additive_identity,X101)
| X101 = X100 ),
inference(resolution,[status(thm)],[addition_is_well_defined,additive_identity2]) ).
cnf(multiplicative_inverse2,axiom,
product(X14,inverse(X14),additive_identity),
file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',multiplicative_inverse2) ).
cnf(additive_inverse2,axiom,
sum(X12,inverse(X12),multiplicative_identity),
file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',additive_inverse2) ).
cnf(multiplicative_identity2,axiom,
product(X6,multiplicative_identity,X6),
file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',multiplicative_identity2) ).
cnf(distributivity1,axiom,
( ~ product(X35,X38,X32)
| ~ product(X35,X37,X33)
| ~ sum(X38,X37,X34)
| ~ product(X35,X34,X36)
| sum(X32,X33,X36) ),
file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',distributivity1) ).
cnf(c20,plain,
( ~ product(X222,X223,X219)
| ~ product(X222,X221,X220)
| ~ sum(X223,X221,multiplicative_identity)
| sum(X219,X220,X222) ),
inference(resolution,[status(thm)],[distributivity1,multiplicative_identity2]) ).
cnf(c256,plain,
( ~ product(X1175,X1174,X1173)
| ~ product(X1175,inverse(X1174),X1176)
| sum(X1173,X1176,X1175) ),
inference(resolution,[status(thm)],[c20,additive_inverse2]) ).
cnf(c12483,plain,
( ~ product(X1179,X1179,X1178)
| sum(X1178,additive_identity,X1179) ),
inference(resolution,[status(thm)],[c256,multiplicative_inverse2]) ).
cnf(c12487,plain,
sum(multiply(X1180,X1180),additive_identity,X1180),
inference(resolution,[status(thm)],[c12483,closure_of_multiplication]) ).
cnf(c12499,plain,
X1185 = multiply(X1185,X1185),
inference(resolution,[status(thm)],[c12487,c50]) ).
cnf(c12562,plain,
multiply(X1187,X1187) = X1187,
inference(resolution,[status(thm)],[c12499,symmetry]) ).
cnf(c12622,plain,
( X1584 != X1585
| X1584 != X1586
| product(X1585,X1586,X1584) ),
inference(resolution,[status(thm)],[c12562,c218]) ).
cnf(c22069,plain,
( X1591 != X1592
| product(X1592,X1592,X1591) ),
inference(factor,[status(thm)],[c12622]) ).
cnf(c22629,plain,
product(X1593,X1593,X1593),
inference(resolution,[status(thm)],[c22069,reflexivity]) ).
cnf(c22924,plain,
$false,
inference(resolution,[status(thm)],[c22629,prove_both_equalities]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : BOO003-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n004.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 22:28:38 EDT 2024
% 0.13/0.35 % CPUTime :
% 7.44/7.62 % Version: 1.5
% 7.44/7.62 % SZS status Unsatisfiable
% 7.44/7.62 % SZS output start CNFRefutation
% See solution above
% 7.44/7.62
% 7.44/7.62 % Initial clauses : 31
% 7.44/7.62 % Processed clauses : 546
% 7.44/7.62 % Factors computed : 46
% 7.44/7.62 % Resolvents computed: 22874
% 7.44/7.62 % Tautologies deleted: 4
% 7.44/7.62 % Forward subsumed : 754
% 7.44/7.62 % Backward subsumed : 11
% 7.44/7.62 % -------- CPU Time ---------
% 7.44/7.62 % User time : 7.211 s
% 7.44/7.62 % System time : 0.053 s
% 7.44/7.62 % Total time : 7.264 s
%------------------------------------------------------------------------------