%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GRP135-2.002 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n019.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 17:23:16 EDT 2024
% Result : Unsatisfiable 0.48s 0.69s
% Output : Refutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 7
% Syntax : Number of clauses : 27 ( 10 unt; 13 nHn; 27 RR)
% Number of literals : 54 ( 0 equ; 16 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 18 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(e_1_is_not_e_2,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_2) ).
cnf(product_left_cancellation,axiom,
( ~ product(X21,X23,X24)
| ~ product(X22,X23,X24)
| equalish(X21,X22) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_left_cancellation) ).
cnf(qg3,negated_conjecture,
( ~ product(X30,X31,X28)
| ~ product(X28,X30,X29)
| product(X29,X30,X31) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg3) ).
cnf(element_2,axiom,
group_element(e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_2) ).
cnf(product_total_function1,axiom,
( ~ group_element(X19)
| ~ group_element(X20)
| product(X19,X20,e_1)
| product(X19,X20,e_2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_total_function1) ).
cnf(c2,plain,
( ~ group_element(X33)
| product(X33,X33,e_1)
| product(X33,X33,e_2) ),
inference(factor,[status(thm)],[product_total_function1]) ).
cnf(c8,plain,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[c2,element_2]) ).
cnf(c52,plain,
( product(e_2,e_2,e_1)
| ~ product(e_2,X66,e_2)
| product(e_2,e_2,X66) ),
inference(resolution,[status(thm)],[c8,qg3]) ).
cnf(e_2_is_not_e_1,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_1) ).
cnf(element_1,axiom,
group_element(e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_1) ).
cnf(c7,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[c2,element_1]) ).
cnf(c25,plain,
( product(e_1,e_1,e_1)
| ~ product(X58,e_1,e_2)
| equalish(X58,e_1) ),
inference(resolution,[status(thm)],[c7,product_left_cancellation]) ).
cnf(c3,plain,
( ~ group_element(X34)
| product(X34,e_1,e_1)
| product(X34,e_1,e_2) ),
inference(resolution,[status(thm)],[product_total_function1,element_1]) ).
cnf(c10,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[c3,element_2]) ).
cnf(c66,plain,
( product(e_2,e_1,e_2)
| ~ product(e_1,X72,e_2)
| product(e_1,e_1,X72) ),
inference(resolution,[status(thm)],[c10,qg3]) ).
cnf(c175,plain,
( product(e_2,e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[c66,c7]) ).
cnf(c206,plain,
( product(e_1,e_1,e_1)
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[c175,c25]) ).
cnf(c246,plain,
product(e_1,e_1,e_1),
inference(resolution,[status(thm)],[c206,e_2_is_not_e_1]) ).
cnf(c72,plain,
( product(e_2,e_1,e_2)
| ~ product(X76,e_1,e_1)
| equalish(X76,e_2) ),
inference(resolution,[status(thm)],[c10,product_left_cancellation]) ).
cnf(c266,plain,
( product(e_2,e_1,e_2)
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[c72,c246]) ).
cnf(c307,plain,
product(e_2,e_1,e_2),
inference(resolution,[status(thm)],[c266,e_1_is_not_e_2]) ).
cnf(c314,plain,
product(e_2,e_2,e_1),
inference(resolution,[status(thm)],[c307,c52]) ).
cnf(c326,plain,
( ~ product(X94,e_2,e_1)
| equalish(X94,e_2) ),
inference(resolution,[status(thm)],[c314,product_left_cancellation]) ).
cnf(c332,plain,
( ~ product(e_2,X105,e_2)
| product(e_1,e_2,X105) ),
inference(resolution,[status(thm)],[c314,qg3]) ).
cnf(c361,plain,
product(e_1,e_2,e_1),
inference(resolution,[status(thm)],[c332,c307]) ).
cnf(c366,plain,
equalish(e_1,e_2),
inference(resolution,[status(thm)],[c361,c326]) ).
cnf(c373,plain,
$false,
inference(resolution,[status(thm)],[c366,e_1_is_not_e_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : GRP135-2.002 : TPTP v8.1.2. Released v1.2.0.
% 0.13/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35 % Computer : n019.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
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu May 9 04:57:23 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.48/0.69 % Version: 1.5
% 0.48/0.69 % SZS status Unsatisfiable
% 0.48/0.69 % SZS output start CNFRefutation
% See solution above
% 0.48/0.69
% 0.48/0.69 % Initial clauses : 12
% 0.48/0.69 % Processed clauses : 96
% 0.48/0.69 % Factors computed : 5
% 0.48/0.69 % Resolvents computed: 369
% 0.48/0.69 % Tautologies deleted: 1
% 0.48/0.69 % Forward subsumed : 143
% 0.48/0.69 % Backward subsumed : 51
% 0.48/0.69 % -------- CPU Time ---------
% 0.48/0.69 % User time : 0.300 s
% 0.48/0.69 % System time : 0.017 s
% 0.48/0.69 % Total time : 0.317 s
%------------------------------------------------------------------------------