TSTP Solution File: GRP125-1.003 by PyRes---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GRP125-1.003 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n021.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 17:23:06 EDT 2024
% Result : Unsatisfiable 0.50s 0.68s
% Output : Refutation 0.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of clauses : 30 ( 11 unt; 11 nHn; 29 RR)
% Number of literals : 64 ( 0 equ; 19 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 : 28 ( 0 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_idempotence,axiom,
product(X2,X2,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_idempotence) ).
cnf(product_total_function2,axiom,
( ~ product(X5,X6,X4)
| ~ product(X5,X6,X3)
| equalish(X4,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_total_function2) ).
cnf(c1,plain,
( ~ product(X14,X14,X13)
| equalish(X13,X14) ),
inference(resolution,[status(thm)],[product_total_function2,product_idempotence]) ).
cnf(qg3,negated_conjecture,
( ~ product(X37,X38,X35)
| ~ product(X38,X37,X36)
| product(X35,X36,X37) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg3) ).
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(product_left_cancellation,axiom,
( ~ product(X23,X21,X22)
| ~ product(X20,X21,X22)
| equalish(X23,X20) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_left_cancellation) ).
cnf(c11,plain,
( ~ product(X34,X33,X33)
| equalish(X34,X33) ),
inference(resolution,[status(thm)],[product_left_cancellation,product_idempotence]) ).
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(product_right_cancellation,axiom,
( ~ product(X18,X19,X17)
| ~ product(X18,X16,X17)
| equalish(X19,X16) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_right_cancellation) ).
cnf(c9,plain,
( ~ product(X27,X28,X27)
| equalish(X28,X27) ),
inference(resolution,[status(thm)],[product_right_cancellation,product_idempotence]) ).
cnf(element_1,axiom,
group_element(e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_1) ).
cnf(element_3,axiom,
group_element(e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_3) ).
cnf(product_total_function1,axiom,
( ~ group_element(X7)
| ~ group_element(X8)
| product(X7,X8,e_1)
| product(X7,X8,e_2)
| product(X7,X8,e_3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_total_function1) ).
cnf(c3,plain,
( ~ group_element(X47)
| product(X47,e_3,e_1)
| product(X47,e_3,e_2)
| product(X47,e_3,e_3) ),
inference(resolution,[status(thm)],[product_total_function1,element_3]) ).
cnf(c22,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[c3,element_1]) ).
cnf(c33,plain,
( product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[c22,c9]) ).
cnf(c53,plain,
( product(e_1,e_3,e_2)
| product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[c33,e_3_is_not_e_1]) ).
cnf(c59,plain,
( product(e_1,e_3,e_2)
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[c53,c11]) ).
cnf(c67,plain,
product(e_1,e_3,e_2),
inference(resolution,[status(thm)],[c59,e_1_is_not_e_3]) ).
cnf(c85,plain,
( ~ product(e_3,e_1,X53)
| product(X53,e_2,e_3) ),
inference(resolution,[status(thm)],[c67,qg3]) ).
cnf(c4,plain,
( ~ group_element(X48)
| product(X48,e_1,e_1)
| product(X48,e_1,e_2)
| product(X48,e_1,e_3) ),
inference(resolution,[status(thm)],[product_total_function1,element_1]) ).
cnf(c24,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[c4,element_3]) ).
cnf(c89,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[c24,c11]) ).
cnf(c196,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[c89,e_3_is_not_e_1]) ).
cnf(c206,plain,
( product(e_3,e_1,e_2)
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[c196,c9]) ).
cnf(c213,plain,
product(e_3,e_1,e_2),
inference(resolution,[status(thm)],[c206,e_1_is_not_e_3]) ).
cnf(c214,plain,
product(e_2,e_2,e_3),
inference(resolution,[status(thm)],[c213,c85]) ).
cnf(c224,plain,
equalish(e_3,e_2),
inference(resolution,[status(thm)],[c214,c1]) ).
cnf(c226,plain,
$false,
inference(resolution,[status(thm)],[c224,e_3_is_not_e_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.15 % Problem : GRP125-1.003 : TPTP v8.1.2. Released v1.2.0.
% 0.14/0.15 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.16/0.37 % Computer : n021.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Thu May 9 04:19:23 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.50/0.68 % Version: 1.5
% 0.50/0.68 % SZS status Unsatisfiable
% 0.50/0.68 % SZS output start CNFRefutation
% See solution above
% 0.50/0.69
% 0.50/0.69 % Initial clauses : 15
% 0.50/0.69 % Processed clauses : 54
% 0.50/0.69 % Factors computed : 5
% 0.50/0.69 % Resolvents computed: 222
% 0.50/0.69 % Tautologies deleted: 0
% 0.50/0.69 % Forward subsumed : 49
% 0.50/0.69 % Backward subsumed : 13
% 0.50/0.69 % -------- CPU Time ---------
% 0.50/0.69 % User time : 0.290 s
% 0.50/0.69 % System time : 0.018 s
% 0.50/0.69 % Total time : 0.308 s
%------------------------------------------------------------------------------