%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GRP125-4.003 : TPTP v8.1.2. Bugfixed v1.2.1.
% 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 17:23:07 EDT 2024
% Result : Unsatisfiable 0.49s 0.64s
% Output : Refutation 0.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of clauses : 29 ( 13 unt; 10 nHn; 28 RR)
% Number of literals : 57 ( 0 equ; 16 neg)
% Maximal clause size : 5 ( 1 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 : 21 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(e_3_is_not_e_2,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_2) ).
cnf(product_idempotence,axiom,
product(X2,X2,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_idempotence) ).
cnf(product_total_function2,axiom,
( ~ product(X9,X7,X10)
| ~ product(X9,X7,X8)
| equalish(X10,X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function2) ).
cnf(c9,plain,
( ~ product(X16,X16,X15)
| equalish(X15,X16) ),
inference(resolution,[status(thm)],[product_total_function2,product_idempotence]) ).
cnf(qg3,negated_conjecture,
( ~ product(X62,X61,X60)
| ~ product(X61,X62,X59)
| product(X60,X59,X62) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3) ).
cnf(e_2_is_not_e_3,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_3) ).
cnf(product_right_cancellation,axiom,
( ~ product(X30,X31,X28)
| ~ product(X30,X29,X28)
| equalish(X31,X29) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation) ).
cnf(c17,plain,
( ~ product(X40,X39,X40)
| equalish(X39,X40) ),
inference(resolution,[status(thm)],[product_right_cancellation,product_idempotence]) ).
cnf(element_3,axiom,
group_element(e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_3) ).
cnf(element_2,axiom,
group_element(e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_2) ).
cnf(row_surjectivity,axiom,
( ~ group_element(X4)
| ~ group_element(X3)
| product(e_1,X4,X3)
| product(e_2,X4,X3)
| product(e_3,X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',row_surjectivity) ).
cnf(c1,plain,
( ~ group_element(X73)
| product(e_1,X73,e_2)
| product(e_2,X73,e_2)
| product(e_3,X73,e_2) ),
inference(resolution,[status(thm)],[row_surjectivity,element_2]) ).
cnf(c44,plain,
( product(e_1,e_3,e_2)
| product(e_2,e_3,e_2)
| product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[c1,element_3]) ).
cnf(c76,plain,
( product(e_1,e_3,e_2)
| product(e_3,e_3,e_2)
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[c44,c17]) ).
cnf(c109,plain,
( product(e_1,e_3,e_2)
| product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[c76,e_3_is_not_e_2]) ).
cnf(c148,plain,
( product(e_1,e_3,e_2)
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[c109,c9]) ).
cnf(c155,plain,
product(e_1,e_3,e_2),
inference(resolution,[status(thm)],[c148,e_2_is_not_e_3]) ).
cnf(c157,plain,
( ~ product(e_3,e_1,X86)
| product(X86,e_2,e_3) ),
inference(resolution,[status(thm)],[c155,qg3]) ).
cnf(e_1_is_not_e_2,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_1) ).
cnf(element_1,axiom,
group_element(e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_1) ).
cnf(c45,plain,
( product(e_1,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[c1,element_1]) ).
cnf(c118,plain,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[c45,c9]) ).
cnf(c286,plain,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[c118,e_2_is_not_e_1]) ).
cnf(c287,plain,
( product(e_3,e_1,e_2)
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[c286,c17]) ).
cnf(c310,plain,
product(e_3,e_1,e_2),
inference(resolution,[status(thm)],[c287,e_1_is_not_e_2]) ).
cnf(c311,plain,
product(e_2,e_2,e_3),
inference(resolution,[status(thm)],[c310,c157]) ).
cnf(c324,plain,
equalish(e_3,e_2),
inference(resolution,[status(thm)],[c311,c9]) ).
cnf(c328,plain,
$false,
inference(resolution,[status(thm)],[c324,e_3_is_not_e_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP125-4.003 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35 % Computer : n002.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
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 9 03:46:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.49/0.64 % Version: 1.5
% 0.49/0.64 % SZS status Unsatisfiable
% 0.49/0.64 % SZS output start CNFRefutation
% See solution above
% 0.49/0.64
% 0.49/0.64 % Initial clauses : 19
% 0.49/0.64 % Processed clauses : 64
% 0.49/0.64 % Factors computed : 9
% 0.49/0.64 % Resolvents computed: 320
% 0.49/0.64 % Tautologies deleted: 0
% 0.49/0.64 % Forward subsumed : 45
% 0.49/0.64 % Backward subsumed : 10
% 0.49/0.64 % -------- CPU Time ---------
% 0.49/0.64 % User time : 0.281 s
% 0.49/0.64 % System time : 0.011 s
% 0.49/0.64 % Total time : 0.292 s
%------------------------------------------------------------------------------