TSTP Solution File: GRP123-3.003 by PyRes---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GRP123-3.003 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n022.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 17:23:02 EDT 2024
% Result : Unsatisfiable 0.73s 0.88s
% Output : Refutation 0.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of clauses : 31 ( 12 unt; 10 nHn; 30 RR)
% Number of literals : 67 ( 0 equ; 24 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/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_2) ).
cnf(product_left_cancellation,axiom,
( ~ product(X43,X41,X44)
| ~ product(X42,X41,X44)
| equalish(X43,X42) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation) ).
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(product_idempotence,axiom,
product(X2,X2,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_idempotence) ).
cnf(product_right_cancellation,axiom,
( ~ product(X29,X27,X28)
| ~ product(X29,X26,X28)
| equalish(X27,X26) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation) ).
cnf(c16,plain,
( ~ product(X33,X34,X33)
| equalish(X34,X33) ),
inference(resolution,[status(thm)],[product_right_cancellation,product_idempotence]) ).
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(c26,plain,
( ~ product(X49,X48,X48)
| equalish(X49,X48) ),
inference(resolution,[status(thm)],[product_left_cancellation,product_idempotence]) ).
cnf(element_2,axiom,
group_element(e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_2) ).
cnf(element_1,axiom,
group_element(e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_1) ).
cnf(product_total_function1,axiom,
( ~ group_element(X67)
| ~ group_element(X66)
| product(X67,X66,e_1)
| product(X67,X66,e_2)
| product(X67,X66,e_3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1) ).
cnf(c50,plain,
( ~ group_element(X204)
| product(X204,e_1,e_1)
| product(X204,e_1,e_2)
| product(X204,e_1,e_3) ),
inference(resolution,[status(thm)],[product_total_function1,element_1]) ).
cnf(c200,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[c50,element_2]) ).
cnf(c237,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[c200,c26]) ).
cnf(c293,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[c237,e_2_is_not_e_1]) ).
cnf(c303,plain,
( product(e_2,e_1,e_3)
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[c293,c16]) ).
cnf(c328,plain,
product(e_2,e_1,e_3),
inference(resolution,[status(thm)],[c303,e_1_is_not_e_2]) ).
cnf(c370,plain,
( ~ product(X251,e_1,e_3)
| equalish(X251,e_2) ),
inference(resolution,[status(thm)],[c328,product_left_cancellation]) ).
cnf(qg1_2,negated_conjecture,
( ~ product(X87,X85,X86)
| ~ product(X89,X90,X86)
| ~ product(X88,X85,X87)
| ~ product(X88,X90,X89)
| equalish(X85,X90) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg1_2) ).
cnf(c66,plain,
( ~ product(X132,X133,X135)
| ~ product(X134,X134,X135)
| ~ product(X134,X133,X132)
| equalish(X133,X134) ),
inference(resolution,[status(thm)],[qg1_2,product_idempotence]) ).
cnf(c326,plain,
( equalish(e_1,e_2)
| ~ product(e_3,e_1,X262)
| ~ product(e_2,e_2,X262) ),
inference(resolution,[status(thm)],[c303,c66]) ).
cnf(c506,plain,
( equalish(e_1,e_2)
| ~ product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[c326,product_idempotence]) ).
cnf(e_3_is_not_e_1,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_1) ).
cnf(element_3,axiom,
group_element(e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_3) ).
cnf(c201,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)],[c50,element_3]) ).
cnf(c331,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[c201,c26]) ).
cnf(c539,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[c331,e_3_is_not_e_1]) ).
cnf(c541,plain,
( product(e_3,e_1,e_3)
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[c539,c506]) ).
cnf(c579,plain,
product(e_3,e_1,e_3),
inference(resolution,[status(thm)],[c541,e_1_is_not_e_2]) ).
cnf(c585,plain,
equalish(e_3,e_2),
inference(resolution,[status(thm)],[c579,c370]) ).
cnf(c593,plain,
$false,
inference(resolution,[status(thm)],[c585,e_3_is_not_e_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP123-3.003 : TPTP v8.1.2. Released v1.2.0.
% 0.12/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.35 % Computer : n022.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu May 9 04:02:07 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.73/0.88 % Version: 1.5
% 0.73/0.88 % SZS status Unsatisfiable
% 0.73/0.88 % SZS output start CNFRefutation
% See solution above
% 0.73/0.88
% 0.73/0.88 % Initial clauses : 32
% 0.73/0.88 % Processed clauses : 203
% 0.73/0.88 % Factors computed : 21
% 0.73/0.88 % Resolvents computed: 573
% 0.73/0.88 % Tautologies deleted: 0
% 0.73/0.88 % Forward subsumed : 117
% 0.73/0.88 % Backward subsumed : 92
% 0.73/0.88 % -------- CPU Time ---------
% 0.73/0.88 % User time : 0.517 s
% 0.73/0.88 % System time : 0.011 s
% 0.73/0.88 % Total time : 0.528 s
%------------------------------------------------------------------------------