%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GRP537-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n002.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 17:24:00 EDT 2024
% Result : Unsatisfiable 43.48s 43.68s
% Output : Refutation 43.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of clauses : 26 ( 16 unt; 0 nHn; 9 RR)
% Number of literals : 39 ( 38 equ; 14 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 55 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_these_axioms_1,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_1) ).
cnf(transitivity,axiom,
( X15 != X16
| X16 != X14
| X15 = X14 ),
theory(equality) ).
cnf(multiply,axiom,
multiply(X20,X21) = divide(X20,divide(divide(X22,X22),X21)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
cnf(single_axiom,axiom,
divide(divide(X8,X9),divide(divide(X8,X10),X9)) = X10,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(c12,plain,
( X73 != divide(divide(X72,X71),divide(divide(X72,X70),X71))
| X73 = X70 ),
inference(resolution,[status(thm)],[transitivity,single_axiom]) ).
cnf(c104,plain,
multiply(divide(X81,X80),X80) = X81,
inference(resolution,[status(thm)],[c12,multiply]) ).
cnf(c129,plain,
( X211 != multiply(divide(X209,X210),X210)
| X211 = X209 ),
inference(resolution,[status(thm)],[c104,transitivity]) ).
cnf(reflexivity,axiom,
X2 = X2,
theory(equality) ).
cnf(c1,axiom,
( X49 != X47
| X50 != X48
| multiply(X49,X50) = multiply(X47,X48) ),
theory(equality) ).
cnf(c66,plain,
( X191 != X190
| multiply(X191,X192) = multiply(X190,X192) ),
inference(resolution,[status(thm)],[c1,reflexivity]) ).
cnf(symmetry,axiom,
( X4 != X5
| X5 = X4 ),
theory(equality) ).
cnf(inverse,axiom,
inverse(X12) = divide(divide(X13,X13),X12),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
cnf(c7,plain,
divide(divide(X27,X27),X26) = inverse(X26),
inference(resolution,[status(thm)],[inverse,symmetry]) ).
cnf(c22,plain,
( X119 != divide(divide(X118,X118),X120)
| X119 = inverse(X120) ),
inference(resolution,[status(thm)],[c7,transitivity]) ).
cnf(identity,axiom,
identity = divide(X3,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
cnf(c0,axiom,
( X38 != X36
| X39 != X37
| divide(X38,X39) = divide(X36,X37) ),
theory(equality) ).
cnf(c46,plain,
( X160 != X159
| divide(X160,X161) = divide(X159,X161) ),
inference(resolution,[status(thm)],[c0,reflexivity]) ).
cnf(c341,plain,
divide(identity,X329) = divide(divide(X328,X328),X329),
inference(resolution,[status(thm)],[c46,identity]) ).
cnf(c1835,plain,
divide(identity,X330) = inverse(X330),
inference(resolution,[status(thm)],[c341,c22]) ).
cnf(c1888,plain,
inverse(X335) = divide(identity,X335),
inference(resolution,[status(thm)],[c1835,symmetry]) ).
cnf(c1978,plain,
multiply(inverse(X2815),X2814) = multiply(divide(identity,X2815),X2814),
inference(resolution,[status(thm)],[c1888,c66]) ).
cnf(c67794,plain,
multiply(inverse(X2817),X2817) = identity,
inference(resolution,[status(thm)],[c1978,c129]) ).
cnf(c67873,plain,
identity = multiply(inverse(X2820),X2820),
inference(resolution,[status(thm)],[c67794,symmetry]) ).
cnf(c68099,plain,
( X2953 != identity
| X2953 = multiply(inverse(X2952),X2952) ),
inference(resolution,[status(thm)],[c67873,transitivity]) ).
cnf(c72344,plain,
multiply(inverse(X3098),X3098) = multiply(inverse(X3099),X3099),
inference(resolution,[status(thm)],[c68099,c67794]) ).
cnf(c77591,plain,
$false,
inference(resolution,[status(thm)],[c72344,prove_these_axioms_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GRP537-1 : TPTP v8.1.2. Released v2.6.0.
% 0.04/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.36 % Computer : n002.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 : Thu May 9 04:44:38 EDT 2024
% 0.14/0.36 % CPUTime :
% 43.48/43.68 % Version: 1.5
% 43.48/43.68 % SZS status Unsatisfiable
% 43.48/43.68 % SZS output start CNFRefutation
% See solution above
% 43.48/43.68
% 43.48/43.68 % Initial clauses : 11
% 43.48/43.68 % Processed clauses : 847
% 43.48/43.68 % Factors computed : 3
% 43.48/43.68 % Resolvents computed: 77676
% 43.48/43.68 % Tautologies deleted: 2
% 43.48/43.68 % Forward subsumed : 1392
% 43.48/43.68 % Backward subsumed : 25
% 43.48/43.68 % -------- CPU Time ---------
% 43.48/43.68 % User time : 43.111 s
% 43.48/43.68 % System time : 0.203 s
% 43.48/43.68 % Total time : 43.314 s
%------------------------------------------------------------------------------