%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GRP128-4.003 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n017.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 17:23:11 EDT 2024
% Result : Unsatisfiable 0.71s 0.88s
% Output : Refutation 0.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 13
% Syntax : Number of clauses : 42 ( 16 unt; 17 nHn; 42 RR)
% Number of literals : 86 ( 0 equ; 22 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 26 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(e_3_is_not_e_2,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_2) ).
cnf(product_total_function2,axiom,
( ~ product(X4,X6,X5)
| ~ product(X4,X6,X7)
| equalish(X5,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_total_function2) ).
cnf(qg3_2,negated_conjecture,
( product(X34,X35,X36)
| ~ product(X33,X34,X36)
| ~ product(X33,X35,X34) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg3_2) ).
cnf(c12,plain,
( product(X38,X38,X38)
| ~ product(X37,X38,X38) ),
inference(factor,[status(thm)],[qg3_2]) ).
cnf(element_2,axiom,
group_element(e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_2) ).
cnf(row_surjectivity,axiom,
( ~ group_element(X2)
| ~ group_element(X3)
| product(e_1,X2,X3)
| product(e_2,X2,X3)
| product(e_3,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',row_surjectivity) ).
cnf(c0,plain,
( ~ group_element(X47)
| product(e_1,X47,X47)
| product(e_2,X47,X47)
| product(e_3,X47,X47) ),
inference(factor,[status(thm)],[row_surjectivity]) ).
cnf(c19,plain,
( product(e_1,e_2,e_2)
| product(e_2,e_2,e_2)
| product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[c0,element_2]) ).
cnf(c124,plain,
( product(e_2,e_2,e_2)
| product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[c19,c12]) ).
cnf(c267,plain,
product(e_2,e_2,e_2),
inference(resolution,[status(thm)],[c124,c12]) ).
cnf(c280,plain,
( ~ product(e_2,e_2,X67)
| equalish(X67,e_2) ),
inference(resolution,[status(thm)],[c267,product_total_function2]) ).
cnf(qg3_1,negated_conjecture,
( product(X27,X29,X28)
| ~ product(X27,X28,X30)
| ~ product(X28,X29,X30) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg3_1) ).
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(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(product_right_cancellation,axiom,
( ~ product(X13,X14,X15)
| ~ product(X13,X16,X15)
| equalish(X14,X16) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_right_cancellation) ).
cnf(element_1,axiom,
group_element(e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_1) ).
cnf(c18,plain,
( product(e_1,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[c0,element_1]) ).
cnf(c70,plain,
( product(e_1,e_1,e_1)
| product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[c18,c12]) ).
cnf(c102,plain,
product(e_1,e_1,e_1),
inference(resolution,[status(thm)],[c70,c12]) ).
cnf(c108,plain,
( ~ product(e_1,X59,e_1)
| equalish(X59,e_1) ),
inference(resolution,[status(thm)],[c102,product_right_cancellation]) ).
cnf(c1,plain,
( ~ group_element(X50)
| product(e_1,X50,e_1)
| product(e_2,X50,e_1)
| product(e_3,X50,e_1) ),
inference(resolution,[status(thm)],[row_surjectivity,element_1]) ).
cnf(c28,plain,
( product(e_1,e_2,e_1)
| product(e_2,e_2,e_1)
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[c1,element_2]) ).
cnf(c323,plain,
( product(e_2,e_2,e_1)
| product(e_3,e_2,e_1)
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[c28,c108]) ).
cnf(c935,plain,
( product(e_2,e_2,e_1)
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[c323,e_2_is_not_e_1]) ).
cnf(c946,plain,
( product(e_3,e_2,e_1)
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[c935,c280]) ).
cnf(c965,plain,
product(e_3,e_2,e_1),
inference(resolution,[status(thm)],[c946,e_1_is_not_e_2]) ).
cnf(c972,plain,
( product(X114,e_2,e_3)
| ~ product(X114,e_3,e_1) ),
inference(resolution,[status(thm)],[c965,qg3_1]) ).
cnf(e_1_is_not_e_3,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_3) ).
cnf(element_3,axiom,
group_element(e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_3) ).
cnf(c20,plain,
( product(e_1,e_3,e_3)
| product(e_2,e_3,e_3)
| product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[c0,element_3]) ).
cnf(c157,plain,
( product(e_2,e_3,e_3)
| product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[c20,c12]) ).
cnf(c355,plain,
product(e_3,e_3,e_3),
inference(resolution,[status(thm)],[c157,c12]) ).
cnf(c380,plain,
( ~ product(e_3,e_3,X73)
| equalish(X73,e_3) ),
inference(resolution,[status(thm)],[c355,product_total_function2]) ).
cnf(e_3_is_not_e_1,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_1) ).
cnf(c29,plain,
( product(e_1,e_3,e_1)
| product(e_2,e_3,e_1)
| product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[c1,element_3]) ).
cnf(c388,plain,
( product(e_2,e_3,e_1)
| product(e_3,e_3,e_1)
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[c29,c108]) ).
cnf(c1025,plain,
( product(e_2,e_3,e_1)
| product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[c388,e_3_is_not_e_1]) ).
cnf(c1038,plain,
( product(e_2,e_3,e_1)
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[c1025,c380]) ).
cnf(c1059,plain,
product(e_2,e_3,e_1),
inference(resolution,[status(thm)],[c1038,e_1_is_not_e_3]) ).
cnf(c1063,plain,
product(e_2,e_2,e_3),
inference(resolution,[status(thm)],[c1059,c972]) ).
cnf(c1080,plain,
equalish(e_3,e_2),
inference(resolution,[status(thm)],[c1063,c280]) ).
cnf(c1082,plain,
$false,
inference(resolution,[status(thm)],[c1080,e_3_is_not_e_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP128-4.003 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.34 % Computer : n017.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 9 04:58:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.71/0.88 % Version: 1.5
% 0.71/0.88 % SZS status Unsatisfiable
% 0.71/0.88 % SZS output start CNFRefutation
% See solution above
% 0.71/0.88
% 0.71/0.88 % Initial clauses : 18
% 0.71/0.88 % Processed clauses : 94
% 0.71/0.88 % Factors computed : 9
% 0.71/0.88 % Resolvents computed: 1074
% 0.71/0.88 % Tautologies deleted: 21
% 0.71/0.88 % Forward subsumed : 221
% 0.71/0.88 % Backward subsumed : 23
% 0.71/0.88 % -------- CPU Time ---------
% 0.71/0.88 % User time : 0.506 s
% 0.71/0.88 % System time : 0.013 s
% 0.71/0.88 % Total time : 0.519 s
%------------------------------------------------------------------------------