%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GRP123-9.003 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n005.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 17:23:03 EDT 2024
% Result : Unsatisfiable 0.48s 0.65s
% Output : Refutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of clauses : 32 ( 14 unt; 10 nHn; 30 RR)
% Number of literals : 63 ( 0 equ; 19 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 28 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
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(product2_idempotence,axiom,
product2(X3,X3,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product2_idempotence) ).
cnf(product2_total_function2,axiom,
( ~ product2(X43,X42,X41)
| ~ product2(X43,X42,X44)
| equalish(X41,X44) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product2_total_function2) ).
cnf(c23,plain,
( ~ product2(X51,X51,X50)
| equalish(X50,X51) ),
inference(resolution,[status(thm)],[product2_total_function2,product2_idempotence]) ).
cnf(qg1a,negated_conjecture,
( ~ product1(X76,X75,X74)
| ~ product1(X74,X75,X73)
| product2(X73,X76,X75) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg1a) ).
cnf(e_2_is_not_e_3,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_3) ).
cnf(product1_idempotence,axiom,
product1(X2,X2,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product1_idempotence) ).
cnf(product1_right_cancellation,axiom,
( ~ product1(X23,X21,X22)
| ~ product1(X23,X24,X22)
| equalish(X21,X24) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product1_right_cancellation) ).
cnf(c17,plain,
( ~ product1(X29,X28,X29)
| equalish(X28,X29) ),
inference(resolution,[status(thm)],[product1_right_cancellation,product1_idempotence]) ).
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(product1_left_cancellation,axiom,
( ~ product1(X31,X32,X33)
| ~ product1(X34,X32,X33)
| equalish(X31,X34) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product1_left_cancellation) ).
cnf(c20,plain,
( ~ product1(X39,X38,X38)
| equalish(X39,X38) ),
inference(resolution,[status(thm)],[product1_left_cancellation,product1_idempotence]) ).
cnf(element_3,axiom,
group_element(e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_3) ).
cnf(element_2,axiom,
group_element(e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_2) ).
cnf(product1_total_function1,axiom,
( ~ group_element(X19)
| ~ group_element(X18)
| product1(X19,X18,e_1)
| product1(X19,X18,e_2)
| product1(X19,X18,e_3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product1_total_function1) ).
cnf(c13,plain,
( ~ group_element(X93)
| product1(X93,e_2,e_1)
| product1(X93,e_2,e_2)
| product1(X93,e_2,e_3) ),
inference(resolution,[status(thm)],[product1_total_function1,element_2]) ).
cnf(c70,plain,
( product1(e_3,e_2,e_1)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[c13,element_3]) ).
cnf(c91,plain,
( product1(e_3,e_2,e_1)
| product1(e_3,e_2,e_3)
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[c70,c20]) ).
cnf(c113,plain,
( product1(e_3,e_2,e_1)
| product1(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[c91,e_3_is_not_e_2]) ).
cnf(c123,plain,
( product1(e_3,e_2,e_1)
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[c113,c17]) ).
cnf(c144,plain,
product1(e_3,e_2,e_1),
inference(resolution,[status(thm)],[c123,e_2_is_not_e_3]) ).
cnf(c148,plain,
( ~ product1(X102,e_2,e_3)
| product2(e_1,X102,e_2) ),
inference(resolution,[status(thm)],[c144,qg1a]) ).
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(element_1,axiom,
group_element(e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_1) ).
cnf(c71,plain,
( product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[c13,element_1]) ).
cnf(c129,plain,
( product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[c71,c17]) ).
cnf(c230,plain,
( product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[c129,e_2_is_not_e_1]) ).
cnf(c231,plain,
( product1(e_1,e_2,e_3)
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[c230,c20]) ).
cnf(c247,plain,
product1(e_1,e_2,e_3),
inference(resolution,[status(thm)],[c231,e_1_is_not_e_2]) ).
cnf(c248,plain,
product2(e_1,e_1,e_2),
inference(resolution,[status(thm)],[c247,c148]) ).
cnf(c255,plain,
equalish(e_2,e_1),
inference(resolution,[status(thm)],[c248,c23]) ).
cnf(c257,plain,
$false,
inference(resolution,[status(thm)],[c255,e_2_is_not_e_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : GRP123-9.003 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.13/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35 % Computer : n005.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 03:32:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.48/0.65 % Version: 1.5
% 0.48/0.65 % SZS status Unsatisfiable
% 0.48/0.65 % SZS output start CNFRefutation
% See solution above
% 0.48/0.65
% 0.48/0.65 % Initial clauses : 22
% 0.48/0.65 % Processed clauses : 86
% 0.48/0.65 % Factors computed : 11
% 0.48/0.65 % Resolvents computed: 247
% 0.48/0.65 % Tautologies deleted: 0
% 0.48/0.65 % Forward subsumed : 47
% 0.48/0.65 % Backward subsumed : 9
% 0.48/0.65 % -------- CPU Time ---------
% 0.48/0.65 % User time : 0.281 s
% 0.48/0.65 % System time : 0.018 s
% 0.48/0.65 % Total time : 0.299 s
%------------------------------------------------------------------------------