%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GRP130-2.003 : 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 17:23:12 EDT 2024
% Result : Unsatisfiable 2.00s 2.21s
% Output : Refutation 2.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 17
% Syntax : Number of clauses : 73 ( 17 unt; 47 nHn; 73 RR)
% Number of literals : 176 ( 0 equ; 43 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 42 ( 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(qg3,negated_conjecture,
( ~ product(X30,X29,X31)
| ~ product(X30,X31,X28)
| product(X28,X29,X30) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',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_right_cancellation,axiom,
( ~ product(X17,X14,X15)
| ~ product(X17,X16,X15)
| equalish(X14,X16) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation) ).
cnf(c7,plain,
( ~ product(X33,X34,X34)
| product(X34,X34,X33) ),
inference(factor,[status(thm)],[qg3]) ).
cnf(element_3,axiom,
group_element(e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_3) ).
cnf(element_2,axiom,
group_element(e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_2) ).
cnf(product_total_function1,axiom,
( ~ group_element(X13)
| ~ group_element(X12)
| product(X13,X12,e_1)
| product(X13,X12,e_2)
| product(X13,X12,e_3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1) ).
cnf(c3,plain,
( ~ group_element(X36)
| product(X36,e_2,e_1)
| product(X36,e_2,e_2)
| product(X36,e_2,e_3) ),
inference(resolution,[status(thm)],[product_total_function1,element_2]) ).
cnf(c16,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[c3,element_3]) ).
cnf(c237,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_3)
| product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[c16,c7]) ).
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(e_1_then_e_2,axiom,
next(e_1,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_then_e_2) ).
cnf(e_3_greater_e_2,axiom,
greater(e_3,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_greater_e_2) ).
cnf(no_redundancy,axiom,
( ~ product(X4,e_1,X3)
| ~ next(X4,X2)
| ~ greater(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',no_redundancy) ).
cnf(element_1,axiom,
group_element(e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_1) ).
cnf(c2,plain,
( ~ group_element(X35)
| product(X35,e_1,e_1)
| product(X35,e_1,e_2)
| product(X35,e_1,e_3) ),
inference(resolution,[status(thm)],[product_total_function1,element_1]) ).
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(c157,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[c13,c7]) ).
cnf(c526,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| ~ next(e_1,X173)
| ~ greater(e_3,X173) ),
inference(resolution,[status(thm)],[c157,no_redundancy]) ).
cnf(c806,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| ~ next(e_1,e_2) ),
inference(resolution,[status(thm)],[c526,e_3_greater_e_2]) ).
cnf(c808,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[c806,e_1_then_e_2]) ).
cnf(c820,plain,
( product(e_3,e_1,e_2)
| ~ product(e_3,X183,e_3)
| equalish(X183,e_1) ),
inference(resolution,[status(thm)],[c808,product_right_cancellation]) ).
cnf(c824,plain,
( product(e_3,e_1,e_2)
| ~ product(e_3,X203,e_1)
| product(e_3,X203,e_3) ),
inference(resolution,[status(thm)],[c808,qg3]) ).
cnf(c956,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[c824,c16]) ).
cnf(c1076,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_2,e_2)
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[c956,c820]) ).
cnf(c1122,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[c1076,e_2_is_not_e_1]) ).
cnf(c1145,plain,
( product(e_3,e_1,e_2)
| product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[c1122,c7]) ).
cnf(c1172,plain,
( product(e_2,e_2,e_3)
| ~ product(e_3,X271,e_1)
| product(e_2,X271,e_3) ),
inference(resolution,[status(thm)],[c1145,qg3]) ).
cnf(c1636,plain,
( product(e_2,e_2,e_3)
| product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[c1172,c237]) ).
cnf(c1662,plain,
( product(e_2,e_2,e_3)
| ~ product(e_3,X279,e_3)
| equalish(X279,e_2) ),
inference(resolution,[status(thm)],[c1636,product_right_cancellation]) ).
cnf(c1664,plain,
( product(e_2,e_2,e_3)
| ~ product(e_3,X325,e_2)
| product(e_3,X325,e_3) ),
inference(resolution,[status(thm)],[c1636,qg3]) ).
cnf(c2151,plain,
( product(e_2,e_2,e_3)
| product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[c1664,c808]) ).
cnf(c2193,plain,
( product(e_2,e_2,e_3)
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[c2151,c1662]) ).
cnf(c2226,plain,
product(e_2,e_2,e_3),
inference(resolution,[status(thm)],[c2193,e_1_is_not_e_2]) ).
cnf(c2234,plain,
( ~ product(e_2,X329,e_2)
| product(e_3,X329,e_2) ),
inference(resolution,[status(thm)],[c2226,qg3]) ).
cnf(c2232,plain,
( ~ product(e_2,X327,e_3)
| equalish(X327,e_2) ),
inference(resolution,[status(thm)],[c2226,product_right_cancellation]) ).
cnf(product_left_cancellation,axiom,
( ~ product(X21,X24,X23)
| ~ product(X22,X24,X23)
| equalish(X21,X22) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation) ).
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(c114,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| ~ product(X121,e_1,e_1)
| equalish(X121,e_2) ),
inference(resolution,[status(thm)],[c12,product_left_cancellation]) ).
cnf(e_1_is_not_e_3,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_3) ).
cnf(product_total_function2,axiom,
( ~ product(X8,X6,X5)
| ~ product(X8,X6,X7)
| equalish(X5,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function2) ).
cnf(e_2_is_not_e_3,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_3) ).
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(c1,plain,
( ~ group_element(X32)
| product(X32,X32,e_1)
| product(X32,X32,e_2)
| product(X32,X32,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(c42,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| ~ next(e_1,X65)
| ~ greater(e_3,X65) ),
inference(resolution,[status(thm)],[c8,no_redundancy]) ).
cnf(c388,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| ~ next(e_1,e_2) ),
inference(resolution,[status(thm)],[c42,e_3_greater_e_2]) ).
cnf(c408,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[c388,e_1_then_e_2]) ).
cnf(c432,plain,
( product(e_1,e_1,e_1)
| ~ product(X83,e_1,e_2)
| equalish(X83,e_1) ),
inference(resolution,[status(thm)],[c408,product_left_cancellation]) ).
cnf(c817,plain,
( product(e_3,e_1,e_3)
| product(e_1,e_1,e_1)
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[c808,c432]) ).
cnf(c890,plain,
( product(e_3,e_1,e_3)
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[c817,e_3_is_not_e_1]) ).
cnf(c900,plain,
( product(e_1,e_1,e_1)
| ~ product(e_3,e_1,X196)
| equalish(X196,e_3) ),
inference(resolution,[status(thm)],[c890,product_total_function2]) ).
cnf(c1126,plain,
( product(e_3,e_2,e_2)
| product(e_1,e_1,e_1)
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[c1122,c900]) ).
cnf(c1366,plain,
( product(e_3,e_2,e_2)
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[c1126,e_2_is_not_e_3]) ).
cnf(c1385,plain,
( product(e_1,e_1,e_1)
| product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[c1366,c7]) ).
cnf(c1448,plain,
( product(e_1,e_1,e_1)
| ~ product(e_2,e_2,X265)
| equalish(X265,e_3) ),
inference(resolution,[status(thm)],[c1385,product_total_function2]) ).
cnf(c424,plain,
( product(e_1,e_1,e_1)
| ~ product(e_1,X87,e_1)
| product(e_2,X87,e_1) ),
inference(resolution,[status(thm)],[c408,qg3]) ).
cnf(c14,plain,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[c3,element_1]) ).
cnf(c198,plain,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_3)
| product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[c14,c7]) ).
cnf(c539,plain,
( product(e_1,e_2,e_3)
| product(e_2,e_2,e_1)
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[c198,c424]) ).
cnf(c1436,plain,
( product(e_1,e_1,e_1)
| ~ product(X262,e_2,e_3)
| equalish(X262,e_2) ),
inference(resolution,[status(thm)],[c1385,product_left_cancellation]) ).
cnf(c1575,plain,
( product(e_1,e_1,e_1)
| equalish(e_1,e_2)
| product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[c1436,c539]) ).
cnf(c1863,plain,
( product(e_1,e_1,e_1)
| product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[c1575,e_1_is_not_e_2]) ).
cnf(c1919,plain,
( product(e_1,e_1,e_1)
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[c1863,c1448]) ).
cnf(c1960,plain,
product(e_1,e_1,e_1),
inference(resolution,[status(thm)],[c1919,e_1_is_not_e_3]) ).
cnf(c1972,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[c1960,c114]) ).
cnf(c2569,plain,
( product(e_2,e_1,e_2)
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[c1972,c2232]) ).
cnf(c2605,plain,
product(e_2,e_1,e_2),
inference(resolution,[status(thm)],[c2569,e_1_is_not_e_2]) ).
cnf(c2612,plain,
product(e_3,e_1,e_2),
inference(resolution,[status(thm)],[c2605,c2234]) ).
cnf(c2607,plain,
( ~ product(X363,e_1,e_2)
| equalish(X363,e_2) ),
inference(resolution,[status(thm)],[c2605,product_left_cancellation]) ).
cnf(c2773,plain,
equalish(e_3,e_2),
inference(resolution,[status(thm)],[c2607,c2612]) ).
cnf(c2774,plain,
$false,
inference(resolution,[status(thm)],[c2773,e_3_is_not_e_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP130-2.003 : TPTP v8.1.2. Released v1.2.0.
% 0.07/0.13 % 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 03:33:53 EDT 2024
% 0.14/0.34 % CPUTime :
% 2.00/2.21 % Version: 1.5
% 2.00/2.21 % SZS status Unsatisfiable
% 2.00/2.21 % SZS output start CNFRefutation
% See solution above
% 2.00/2.21
% 2.00/2.21 % Initial clauses : 20
% 2.00/2.21 % Processed clauses : 325
% 2.00/2.21 % Factors computed : 5
% 2.00/2.21 % Resolvents computed: 2770
% 2.00/2.21 % Tautologies deleted: 17
% 2.00/2.21 % Forward subsumed : 855
% 2.00/2.21 % Backward subsumed : 188
% 2.00/2.21 % -------- CPU Time ---------
% 2.00/2.21 % User time : 1.847 s
% 2.00/2.21 % System time : 0.019 s
% 2.00/2.21 % Total time : 1.866 s
%------------------------------------------------------------------------------