%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GRP012-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n020.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 17:22:46 EDT 2024
% Result : Unsatisfiable 2.94s 3.13s
% Output : Refutation 2.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of clauses : 14 ( 8 unt; 0 nHn; 12 RR)
% Number of literals : 26 ( 0 equ; 13 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 : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 26 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_c_multiply_d_is_identity,negated_conjecture,
~ product(c,d,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_c_multiply_d_is_identity) ).
cnf(a_multiply_b_is_c,plain,
product(a,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_multiply_b_is_c) ).
cnf(right_inverse,axiom,
product(X6,inverse(X6),identity),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',right_inverse) ).
cnf(right_identity,axiom,
product(X4,identity,X4),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',right_identity) ).
cnf(associativity2,axiom,
( ~ product(X36,X33,X35)
| ~ product(X33,X31,X32)
| ~ product(X36,X32,X34)
| product(X35,X31,X34) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',associativity2) ).
cnf(c35,plain,
( ~ product(X199,X200,X197)
| ~ product(X200,X198,identity)
| product(X197,X198,X199) ),
inference(resolution,[status(thm)],[associativity2,right_identity]) ).
cnf(c435,plain,
( ~ product(X356,X357,X355)
| product(X355,inverse(X357),X356) ),
inference(resolution,[status(thm)],[c35,right_inverse]) ).
cnf(c1483,plain,
product(c,inverse(b),a),
inference(resolution,[status(thm)],[c435,a_multiply_b_is_c]) ).
cnf(inverse_b_multiply_inverse_a_is_d,plain,
product(inverse(b),inverse(a),d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse_b_multiply_inverse_a_is_d) ).
cnf(associativity1,axiom,
( ~ product(X28,X25,X27)
| ~ product(X25,X23,X24)
| ~ product(X27,X23,X26)
| product(X28,X24,X26) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',associativity1) ).
cnf(c25,plain,
( ~ product(X145,X146,X144)
| ~ product(X146,inverse(X144),X143)
| product(X145,X143,identity) ),
inference(resolution,[status(thm)],[associativity1,right_inverse]) ).
cnf(c279,plain,
( ~ product(X917,inverse(b),a)
| product(X917,d,identity) ),
inference(resolution,[status(thm)],[c25,inverse_b_multiply_inverse_a_is_d]) ).
cnf(c8485,plain,
product(c,d,identity),
inference(resolution,[status(thm)],[c279,c1483]) ).
cnf(c8503,plain,
$false,
inference(resolution,[status(thm)],[c8485,prove_c_multiply_d_is_identity]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : GRP012-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.15 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.16/0.36 % Computer : n020.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Thu May 9 04:33:53 EDT 2024
% 0.16/0.37 % CPUTime :
% 2.94/3.13 % Version: 1.5
% 2.94/3.13 % SZS status Unsatisfiable
% 2.94/3.13 % SZS output start CNFRefutation
% See solution above
% 2.94/3.13
% 2.94/3.13 % Initial clauses : 17
% 2.94/3.13 % Processed clauses : 354
% 2.94/3.13 % Factors computed : 29
% 2.94/3.13 % Resolvents computed: 8473
% 2.94/3.13 % Tautologies deleted: 19
% 2.94/3.13 % Forward subsumed : 606
% 2.94/3.13 % Backward subsumed : 13
% 2.94/3.13 % -------- CPU Time ---------
% 2.94/3.13 % User time : 2.705 s
% 2.94/3.13 % System time : 0.043 s
% 2.94/3.13 % Total time : 2.748 s
%------------------------------------------------------------------------------