%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GRP128-1.003 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n009.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 17:23:10 EDT 2024
% Result : Unsatisfiable 1.30s 1.48s
% Output : Refutation 1.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 11
% Syntax : Number of clauses : 56 ( 14 unt; 35 nHn; 56 RR)
% Number of literals : 135 ( 0 equ; 27 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 : 30 ( 1 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(qg3,negated_conjecture,
( ~ product(X25,X27,X26)
| ~ product(X26,X27,X28)
| product(X25,X26,X28) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3) ).
cnf(c7,plain,
( ~ product(X30,X31,X30)
| product(X30,X30,X30) ),
inference(factor,[status(thm)],[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(product_left_cancellation,axiom,
( ~ product(X21,X19,X18)
| ~ product(X20,X19,X18)
| equalish(X21,X20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation) ).
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_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(X9)
| ~ group_element(X10)
| product(X9,X10,e_1)
| product(X9,X10,e_2)
| product(X9,X10,e_3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1) ).
cnf(c2,plain,
( ~ group_element(X32)
| product(X32,e_1,e_1)
| product(X32,e_1,e_2)
| product(X32,e_1,e_3) ),
inference(resolution,[status(thm)],[product_total_function1,element_1]) ).
cnf(c12,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)],[c2,element_2]) ).
cnf(c116,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_3)
| product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[c12,c7]) ).
cnf(product_right_cancellation,axiom,
( ~ product(X11,X13,X12)
| ~ product(X11,X14,X12)
| equalish(X13,X14) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation) ).
cnf(c121,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_3)
| ~ product(e_2,X132,e_2)
| equalish(X132,e_1) ),
inference(resolution,[status(thm)],[c12,product_right_cancellation]) ).
cnf(c686,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_3)
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[c121,c116]) ).
cnf(c717,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[c686,e_2_is_not_e_1]) ).
cnf(c723,plain,
( product(e_2,e_1,e_3)
| ~ product(X138,e_1,e_1)
| equalish(X138,e_2) ),
inference(resolution,[status(thm)],[c717,product_left_cancellation]) ).
cnf(c729,plain,
( product(e_2,e_1,e_3)
| ~ product(X145,e_1,e_2)
| product(X145,e_2,e_1) ),
inference(resolution,[status(thm)],[c717,qg3]) ).
cnf(c1,plain,
( ~ group_element(X29)
| product(X29,X29,e_1)
| product(X29,X29,e_2)
| product(X29,X29,e_3) ),
inference(factor,[status(thm)],[product_total_function1]) ).
cnf(c8,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[c1,element_1]) ).
cnf(c35,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| ~ product(X55,e_1,e_1)
| product(X55,e_1,e_3) ),
inference(resolution,[status(thm)],[c8,qg3]) ).
cnf(c726,plain,
( product(e_2,e_1,e_3)
| product(e_1,e_1,e_1)
| product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[c717,c35]) ).
cnf(c802,plain,
( product(e_2,e_1,e_3)
| product(e_1,e_1,e_2)
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[c726,c723]) ).
cnf(c969,plain,
( product(e_2,e_1,e_3)
| product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[c802,e_1_is_not_e_2]) ).
cnf(c985,plain,
( product(e_2,e_1,e_3)
| product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[c969,c729]) ).
cnf(c1021,plain,
( product(e_2,e_1,e_3)
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[c985,c7]) ).
cnf(c1053,plain,
( product(e_2,e_1,e_3)
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[c1021,c723]) ).
cnf(c1087,plain,
product(e_2,e_1,e_3),
inference(resolution,[status(thm)],[c1053,e_1_is_not_e_2]) ).
cnf(c1100,plain,
( ~ product(X172,e_1,e_2)
| product(X172,e_2,e_3) ),
inference(resolution,[status(thm)],[c1087,qg3]) ).
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(c39,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| ~ product(X57,e_1,e_3)
| equalish(X57,e_1) ),
inference(resolution,[status(thm)],[c8,product_left_cancellation]) ).
cnf(c788,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[c726,c39]) ).
cnf(c860,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[c788,e_2_is_not_e_1]) ).
cnf(c1130,plain,
( product(e_1,e_2,e_3)
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[c1100,c860]) ).
cnf(c1135,plain,
( product(e_1,e_1,e_1)
| ~ product(e_1,X206,e_3)
| equalish(X206,e_2) ),
inference(resolution,[status(thm)],[c1130,product_right_cancellation]) ).
cnf(element_3,axiom,
group_element(e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_3) ).
cnf(c4,plain,
( ~ group_element(X34)
| product(X34,e_3,e_1)
| product(X34,e_3,e_2)
| product(X34,e_3,e_3) ),
inference(resolution,[status(thm)],[product_total_function1,element_3]) ).
cnf(c17,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)],[c4,element_1]) ).
cnf(c250,plain,
( product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[c17,c7]) ).
cnf(c884,plain,
( product(e_1,e_1,e_1)
| ~ product(e_1,X159,e_2)
| equalish(X159,e_1) ),
inference(resolution,[status(thm)],[c860,product_right_cancellation]) ).
cnf(c931,plain,
( product(e_1,e_1,e_1)
| equalish(e_3,e_1)
| product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[c884,c250]) ).
cnf(c1264,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[c931,e_3_is_not_e_1]) ).
cnf(c1296,plain,
( product(e_1,e_1,e_1)
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[c1264,c1135]) ).
cnf(c1330,plain,
product(e_1,e_1,e_1),
inference(resolution,[status(thm)],[c1296,e_3_is_not_e_2]) ).
cnf(c1341,plain,
( ~ product(X223,e_1,e_1)
| equalish(X223,e_1) ),
inference(resolution,[status(thm)],[c1330,product_left_cancellation]) ).
cnf(c13,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)],[c2,element_3]) ).
cnf(c160,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[c13,c7]) ).
cnf(c165,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| ~ product(e_3,X164,e_3)
| equalish(X164,e_1) ),
inference(resolution,[status(thm)],[c13,product_right_cancellation]) ).
cnf(c1070,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[c165,c160]) ).
cnf(c1411,plain,
( product(e_3,e_1,e_2)
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[c1070,c1341]) ).
cnf(c1454,plain,
product(e_3,e_1,e_2),
inference(resolution,[status(thm)],[c1411,e_3_is_not_e_1]) ).
cnf(c1456,plain,
product(e_3,e_2,e_3),
inference(resolution,[status(thm)],[c1454,c1100]) ).
cnf(c1476,plain,
product(e_3,e_3,e_3),
inference(resolution,[status(thm)],[c1456,c7]) ).
cnf(c1487,plain,
( ~ product(e_3,X267,e_3)
| equalish(X267,e_2) ),
inference(resolution,[status(thm)],[c1456,product_right_cancellation]) ).
cnf(c1521,plain,
equalish(e_3,e_2),
inference(resolution,[status(thm)],[c1487,c1476]) ).
cnf(c1522,plain,
$false,
inference(resolution,[status(thm)],[c1521,e_3_is_not_e_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP128-1.003 : TPTP v8.1.2. Released v1.2.0.
% 0.03/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.34 % Computer : n009.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
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu May 9 04:43:07 EDT 2024
% 0.14/0.35 % CPUTime :
% 1.30/1.48 % Version: 1.5
% 1.30/1.48 % SZS status Unsatisfiable
% 1.30/1.48 % SZS output start CNFRefutation
% See solution above
% 1.30/1.48
% 1.30/1.48 % Initial clauses : 14
% 1.30/1.48 % Processed clauses : 203
% 1.30/1.48 % Factors computed : 5
% 1.30/1.48 % Resolvents computed: 1521
% 1.30/1.48 % Tautologies deleted: 12
% 1.30/1.48 % Forward subsumed : 529
% 1.30/1.48 % Backward subsumed : 110
% 1.30/1.48 % -------- CPU Time ---------
% 1.30/1.48 % User time : 1.106 s
% 1.30/1.48 % System time : 0.019 s
% 1.30/1.48 % Total time : 1.125 s
%------------------------------------------------------------------------------