%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GRP124-4.004 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n007.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 17:23:05 EDT 2024
% Result : Unsatisfiable 7.58s 7.76s
% Output : Refutation 7.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 18
% Syntax : Number of clauses : 80 ( 19 unt; 49 nHn; 79 RR)
% Number of literals : 210 ( 0 equ; 43 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 36 ( 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(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(product_total_function2,axiom,
( ~ product(X10,X7,X8)
| ~ product(X10,X7,X9)
| equalish(X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_total_function2) ).
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(product_idempotence,axiom,
product(X2,X2,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_idempotence) ).
cnf(c11,plain,
( ~ product(X16,X16,X15)
| equalish(X15,X16) ),
inference(resolution,[status(thm)],[product_total_function2,product_idempotence]) ).
cnf(product_right_cancellation,axiom,
( ~ product(X23,X21,X20)
| ~ product(X23,X22,X20)
| equalish(X21,X22) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_right_cancellation) ).
cnf(c20,plain,
( ~ product(X27,X28,X27)
| equalish(X28,X27) ),
inference(resolution,[status(thm)],[product_right_cancellation,product_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(row_surjectivity,axiom,
( ~ group_element(X4)
| ~ group_element(X3)
| product(e_1,X4,X3)
| product(e_2,X4,X3)
| product(e_3,X4,X3)
| product(e_4,X4,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',row_surjectivity) ).
cnf(c2,plain,
( ~ group_element(X90)
| product(e_1,X90,e_2)
| product(e_2,X90,e_2)
| product(e_3,X90,e_2)
| product(e_4,X90,e_2) ),
inference(resolution,[status(thm)],[row_surjectivity,element_2]) ).
cnf(c55,plain,
( product(e_1,e_3,e_2)
| product(e_2,e_3,e_2)
| product(e_3,e_3,e_2)
| product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[c2,element_3]) ).
cnf(c332,plain,
( product(e_1,e_3,e_2)
| product(e_3,e_3,e_2)
| product(e_4,e_3,e_2)
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[c55,c20]) ).
cnf(c5455,plain,
( product(e_1,e_3,e_2)
| product(e_3,e_3,e_2)
| product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[c332,e_3_is_not_e_2]) ).
cnf(c5494,plain,
( product(e_1,e_3,e_2)
| product(e_4,e_3,e_2)
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[c5455,c11]) ).
cnf(c5561,plain,
( product(e_1,e_3,e_2)
| product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[c5494,e_2_is_not_e_3]) ).
cnf(c5577,plain,
( product(e_1,e_3,e_2)
| ~ product(e_4,e_3,X696)
| equalish(X696,e_2) ),
inference(resolution,[status(thm)],[c5561,product_total_function2]) ).
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(qg2_2,negated_conjecture,
( ~ product(X52,X50,X54)
| ~ product(X53,X51,X54)
| ~ product(X55,X52,X50)
| ~ product(X55,X53,X51)
| equalish(X50,X51) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg2_2) ).
cnf(c32,plain,
( ~ product(X95,X97,X94)
| ~ product(X96,X96,X94)
| ~ product(X96,X95,X97)
| equalish(X97,X96) ),
inference(resolution,[status(thm)],[qg2_2,product_idempotence]) ).
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(element_1,axiom,
group_element(e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_1) ).
cnf(c1,plain,
( ~ group_element(X78)
| product(e_1,X78,e_1)
| product(e_2,X78,e_1)
| product(e_3,X78,e_1)
| product(e_4,X78,e_1) ),
inference(resolution,[status(thm)],[row_surjectivity,element_1]) ).
cnf(c48,plain,
( product(e_1,e_3,e_1)
| product(e_2,e_3,e_1)
| product(e_3,e_3,e_1)
| product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[c1,element_3]) ).
cnf(c220,plain,
( product(e_2,e_3,e_1)
| product(e_3,e_3,e_1)
| product(e_4,e_3,e_1)
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[c48,c20]) ).
cnf(c487,plain,
( product(e_2,e_3,e_1)
| product(e_3,e_3,e_1)
| product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[c220,e_3_is_not_e_1]) ).
cnf(c495,plain,
( product(e_2,e_3,e_1)
| product(e_4,e_3,e_1)
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[c487,c11]) ).
cnf(c530,plain,
( product(e_2,e_3,e_1)
| product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[c495,e_1_is_not_e_3]) ).
cnf(c536,plain,
( product(e_4,e_3,e_1)
| ~ product(e_3,e_1,X174)
| ~ product(e_2,e_2,X174)
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[c530,c32]) ).
cnf(c763,plain,
( product(e_4,e_3,e_1)
| ~ product(e_3,e_1,e_2)
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[c536,product_idempotence]) ).
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(c53,plain,
( product(e_1,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[c2,element_1]) ).
cnf(c286,plain,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2)
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[c53,c11]) ).
cnf(c3269,plain,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[c286,e_2_is_not_e_1]) ).
cnf(c3271,plain,
( product(e_3,e_1,e_2)
| product(e_4,e_1,e_2)
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[c3269,c20]) ).
cnf(c3325,plain,
( product(e_4,e_1,e_2)
| equalish(e_1,e_2)
| product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[c3271,c763]) ).
cnf(c3959,plain,
( product(e_4,e_1,e_2)
| product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[c3325,e_1_is_not_e_2]) ).
cnf(c3986,plain,
( product(e_4,e_3,e_1)
| ~ product(e_4,X459,e_2)
| equalish(X459,e_1) ),
inference(resolution,[status(thm)],[c3959,product_right_cancellation]) ).
cnf(c5583,plain,
( product(e_1,e_3,e_2)
| product(e_4,e_3,e_1)
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[c5561,c3986]) ).
cnf(c6497,plain,
( product(e_1,e_3,e_2)
| product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[c5583,e_3_is_not_e_1]) ).
cnf(c6525,plain,
( product(e_1,e_3,e_2)
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[c6497,c5577]) ).
cnf(c6586,plain,
product(e_1,e_3,e_2),
inference(resolution,[status(thm)],[c6525,e_1_is_not_e_2]) ).
cnf(e_4_is_not_e_3,axiom,
~ equalish(e_4,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_is_not_e_3) ).
cnf(c47,plain,
( product(e_1,e_2,e_1)
| product(e_2,e_2,e_1)
| product(e_3,e_2,e_1)
| product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[c1,element_2]) ).
cnf(c113,plain,
( product(e_2,e_2,e_1)
| product(e_3,e_2,e_1)
| product(e_4,e_2,e_1)
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[c47,c20]) ).
cnf(c162,plain,
( product(e_2,e_2,e_1)
| product(e_3,e_2,e_1)
| product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[c113,e_2_is_not_e_1]) ).
cnf(c163,plain,
( product(e_3,e_2,e_1)
| product(e_4,e_2,e_1)
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[c162,c11]) ).
cnf(c200,plain,
( product(e_3,e_2,e_1)
| product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[c163,e_1_is_not_e_2]) ).
cnf(c213,plain,
( product(e_3,e_2,e_1)
| ~ product(e_4,X120,e_1)
| equalish(X120,e_2) ),
inference(resolution,[status(thm)],[c200,product_right_cancellation]) ).
cnf(c539,plain,
( product(e_2,e_3,e_1)
| product(e_3,e_2,e_1)
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[c530,c213]) ).
cnf(c614,plain,
( product(e_2,e_3,e_1)
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[c539,e_3_is_not_e_2]) ).
cnf(c619,plain,
( product(e_3,e_2,e_1)
| ~ product(e_2,X148,e_1)
| equalish(X148,e_3) ),
inference(resolution,[status(thm)],[c614,product_right_cancellation]) ).
cnf(e_1_is_not_e_4,axiom,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_4) ).
cnf(e_4_is_not_e_1,axiom,
~ equalish(e_4,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_is_not_e_1) ).
cnf(element_4,axiom,
group_element(e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_4) ).
cnf(c49,plain,
( product(e_1,e_4,e_1)
| product(e_2,e_4,e_1)
| product(e_3,e_4,e_1)
| product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[c1,element_4]) ).
cnf(c256,plain,
( product(e_2,e_4,e_1)
| product(e_3,e_4,e_1)
| product(e_4,e_4,e_1)
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[c49,c20]) ).
cnf(c1009,plain,
( product(e_2,e_4,e_1)
| product(e_3,e_4,e_1)
| product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[c256,e_4_is_not_e_1]) ).
cnf(c1028,plain,
( product(e_2,e_4,e_1)
| product(e_3,e_4,e_1)
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[c1009,c11]) ).
cnf(c1061,plain,
( product(e_2,e_4,e_1)
| product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[c1028,e_1_is_not_e_4]) ).
cnf(c1109,plain,
( product(e_3,e_4,e_1)
| product(e_3,e_2,e_1)
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[c1061,c619]) ).
cnf(c1427,plain,
( product(e_3,e_4,e_1)
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[c1109,e_4_is_not_e_3]) ).
cnf(c6603,plain,
( ~ product(e_3,e_2,X768)
| ~ product(e_1,e_1,X768)
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[c6586,c32]) ).
cnf(c6713,plain,
( ~ product(e_3,e_2,e_1)
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[c6603,product_idempotence]) ).
cnf(c6720,plain,
( equalish(e_2,e_1)
| product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[c6713,c1427]) ).
cnf(c7025,plain,
product(e_3,e_4,e_1),
inference(resolution,[status(thm)],[c6720,e_2_is_not_e_1]) ).
cnf(c7057,plain,
( ~ product(e_4,e_1,X857)
| ~ product(e_3,e_3,X857)
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[c7025,c32]) ).
cnf(c7636,plain,
( ~ product(e_4,e_1,e_3)
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[c7057,product_idempotence]) ).
cnf(c3,plain,
( ~ group_element(X99)
| product(e_1,X99,e_3)
| product(e_2,X99,e_3)
| product(e_3,X99,e_3)
| product(e_4,X99,e_3) ),
inference(resolution,[status(thm)],[row_surjectivity,element_3]) ).
cnf(c60,plain,
( product(e_1,e_1,e_3)
| product(e_2,e_1,e_3)
| product(e_3,e_1,e_3)
| product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[c3,element_1]) ).
cnf(c403,plain,
( product(e_1,e_1,e_3)
| product(e_2,e_1,e_3)
| product(e_4,e_1,e_3)
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[c60,c20]) ).
cnf(c7770,plain,
( product(e_1,e_1,e_3)
| product(e_2,e_1,e_3)
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[c403,c7636]) ).
cnf(c8523,plain,
( product(e_1,e_1,e_3)
| product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[c7770,e_1_is_not_e_3]) ).
cnf(c8547,plain,
( product(e_2,e_1,e_3)
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[c8523,c11]) ).
cnf(c8594,plain,
product(e_2,e_1,e_3),
inference(resolution,[status(thm)],[c8547,e_3_is_not_e_1]) ).
cnf(c8600,plain,
( ~ product(e_1,e_3,X943)
| ~ product(e_2,e_2,X943)
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[c8594,c32]) ).
cnf(c8630,plain,
( ~ product(e_1,e_3,e_2)
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[c8600,product_idempotence]) ).
cnf(c8634,plain,
equalish(e_3,e_2),
inference(resolution,[status(thm)],[c8630,c6586]) ).
cnf(c8635,plain,
$false,
inference(resolution,[status(thm)],[c8634,e_3_is_not_e_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : GRP124-4.004 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.13/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.36 % Computer : n007.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu May 9 04:43:38 EDT 2024
% 0.15/0.36 % CPUTime :
% 7.58/7.76 % Version: 1.5
% 7.58/7.76 % SZS status Unsatisfiable
% 7.58/7.76 % SZS output start CNFRefutation
% See solution above
% 7.58/7.76
% 7.58/7.76 % Initial clauses : 25
% 7.58/7.76 % Processed clauses : 539
% 7.58/7.76 % Factors computed : 90
% 7.58/7.76 % Resolvents computed: 8546
% 7.58/7.76 % Tautologies deleted: 0
% 7.58/7.76 % Forward subsumed : 1708
% 7.58/7.76 % Backward subsumed : 362
% 7.58/7.76 % -------- CPU Time ---------
% 7.58/7.76 % User time : 7.354 s
% 7.58/7.76 % System time : 0.041 s
% 7.58/7.76 % Total time : 7.395 s
%------------------------------------------------------------------------------