%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GRP001-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n011.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 17:22:42 EDT 2024
% Result : Unsatisfiable 3.20s 3.39s
% Output : Refutation 3.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of clauses : 19 ( 11 unt; 0 nHn; 11 RR)
% Number of literals : 34 ( 0 equ; 16 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 42 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_b_times_a_is_c,negated_conjecture,
~ product(b,a,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_b_times_a_is_c) ).
cnf(square_element,plain,
product(X5,X5,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',square_element) ).
cnf(right_identity,axiom,
product(X4,identity,X4),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',right_identity) ).
cnf(associativity2,axiom,
( ~ product(X33,X34,X36)
| ~ product(X34,X32,X31)
| ~ product(X33,X31,X35)
| product(X36,X32,X35) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',associativity2) ).
cnf(c32,plain,
( ~ product(X182,X183,X181)
| ~ product(X183,X180,identity)
| product(X181,X180,X182) ),
inference(resolution,[status(thm)],[associativity2,right_identity]) ).
cnf(c326,plain,
( ~ product(X185,X184,X186)
| product(X186,X184,X185) ),
inference(resolution,[status(thm)],[c32,square_element]) ).
cnf(total_function1,axiom,
product(X8,X9,multiply(X8,X9)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',total_function1) ).
cnf(left_identity,axiom,
product(identity,X3,X3),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',left_identity) ).
cnf(associativity1,axiom,
( ~ product(X25,X26,X28)
| ~ product(X26,X24,X23)
| ~ product(X28,X24,X27)
| product(X25,X23,X27) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',associativity1) ).
cnf(c24,plain,
( ~ product(X150,X148,identity)
| ~ product(X148,X149,X147)
| product(X150,X147,X149) ),
inference(resolution,[status(thm)],[associativity1,left_identity]) ).
cnf(c234,plain,
( ~ product(X721,X722,identity)
| product(X721,multiply(X722,X720),X720) ),
inference(resolution,[status(thm)],[c24,total_function1]) ).
cnf(c3983,plain,
product(X724,multiply(X724,X723),X723),
inference(resolution,[status(thm)],[c234,square_element]) ).
cnf(c4007,plain,
product(X726,multiply(X725,X726),X725),
inference(resolution,[status(thm)],[c3983,c326]) ).
cnf(a_times_b_is_c,negated_conjecture,
product(a,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_times_b_is_c) ).
cnf(c25,plain,
( ~ product(X159,X157,a)
| ~ product(X157,b,X158)
| product(X159,X158,c) ),
inference(resolution,[status(thm)],[associativity1,a_times_b_is_c]) ).
cnf(c333,plain,
product(multiply(X199,X198),X198,X199),
inference(resolution,[status(thm)],[c326,total_function1]) ).
cnf(c392,plain,
( ~ product(X1306,multiply(X1305,b),a)
| product(X1306,X1305,c) ),
inference(resolution,[status(thm)],[c333,c25]) ).
cnf(c9037,plain,
product(b,a,c),
inference(resolution,[status(thm)],[c392,c4007]) ).
cnf(c9058,plain,
$false,
inference(resolution,[status(thm)],[c9037,prove_b_times_a_is_c]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : GRP001-1 : TPTP v8.1.2. Released v1.0.0.
% 0.14/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.36 % Computer : n011.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 04:36:23 EDT 2024
% 0.21/0.36 % CPUTime :
% 3.20/3.39 % Version: 1.5
% 3.20/3.39 % SZS status Unsatisfiable
% 3.20/3.39 % SZS output start CNFRefutation
% See solution above
% 3.20/3.39
% 3.20/3.39 % Initial clauses : 17
% 3.20/3.39 % Processed clauses : 356
% 3.20/3.39 % Factors computed : 34
% 3.20/3.39 % Resolvents computed: 9031
% 3.20/3.39 % Tautologies deleted: 15
% 3.20/3.39 % Forward subsumed : 854
% 3.20/3.39 % Backward subsumed : 32
% 3.20/3.39 % -------- CPU Time ---------
% 3.20/3.39 % User time : 2.996 s
% 3.20/3.39 % System time : 0.031 s
% 3.20/3.39 % Total time : 3.027 s
%------------------------------------------------------------------------------