%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GRP132-2.002 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n025.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 17:23:14 EDT 2024
% Result : Unsatisfiable 1.69s 1.88s
% Output : Refutation 1.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 10
% Syntax : Number of clauses : 53 ( 9 unt; 35 nHn; 53 RR)
% Number of literals : 134 ( 0 equ; 42 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 : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 46 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
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(X24,X22,X21)
| ~ product(X23,X22,X21)
| equalish(X24,X23) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation) ).
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(X19)
| ~ group_element(X20)
| product(X19,X20,e_1)
| product(X19,X20,e_2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1) ).
cnf(c3,plain,
( ~ group_element(X41)
| product(X41,e_1,e_1)
| product(X41,e_1,e_2) ),
inference(resolution,[status(thm)],[product_total_function1,element_1]) ).
cnf(c50,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[c3,element_2]) ).
cnf(c86,plain,
( product(e_2,e_1,e_2)
| ~ product(X115,e_1,e_1)
| equalish(X115,e_2) ),
inference(resolution,[status(thm)],[c50,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(c4,plain,
( ~ group_element(X50)
| product(X50,e_2,e_1)
| product(X50,e_2,e_2) ),
inference(resolution,[status(thm)],[product_total_function1,element_2]) ).
cnf(c75,plain,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[c4,element_1]) ).
cnf(product_right_cancellation,axiom,
( ~ product(X12,X15,X13)
| ~ product(X12,X14,X13)
| equalish(X15,X14) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation) ).
cnf(c2,plain,
( ~ group_element(X28)
| product(X28,X28,e_1)
| product(X28,X28,e_2) ),
inference(factor,[status(thm)],[product_total_function1]) ).
cnf(c6,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[c2,element_1]) ).
cnf(c17,plain,
( product(e_1,e_1,e_1)
| ~ product(e_1,X57,e_2)
| equalish(X57,e_1) ),
inference(resolution,[status(thm)],[c6,product_right_cancellation]) ).
cnf(c118,plain,
( product(e_1,e_1,e_1)
| equalish(e_2,e_1)
| product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[c17,c75]) ).
cnf(c555,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[c118,e_2_is_not_e_1]) ).
cnf(c21,plain,
( product(e_1,e_1,e_1)
| ~ product(X68,e_1,e_2)
| equalish(X68,e_1) ),
inference(resolution,[status(thm)],[c6,product_left_cancellation]) ).
cnf(c123,plain,
( product(e_1,e_1,e_1)
| equalish(e_2,e_1)
| product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[c21,c50]) ).
cnf(c668,plain,
( product(e_1,e_1,e_1)
| product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[c123,e_2_is_not_e_1]) ).
cnf(qg2_1,negated_conjecture,
( ~ product(X33,X29,X32)
| ~ product(X31,X34,X32)
| ~ product(X30,X33,X29)
| ~ product(X30,X31,X34)
| equalish(X33,X31) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg2_1) ).
cnf(c29,plain,
( ~ product(X74,X73,X72)
| ~ product(X73,X72,X72)
| ~ product(X74,X74,X73)
| equalish(X74,X73) ),
inference(factor,[status(thm)],[qg2_1]) ).
cnf(c127,plain,
( ~ product(e_1,e_2,X201)
| ~ product(e_2,X201,X201)
| equalish(e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[c29,c6]) ).
cnf(c750,plain,
( ~ product(e_1,e_2,e_1)
| equalish(e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[c127,c668]) ).
cnf(c2459,plain,
( equalish(e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[c750,c555]) ).
cnf(c2466,plain,
( equalish(e_1,e_2)
| product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[c2459,c86]) ).
cnf(c2573,plain,
product(e_2,e_1,e_2),
inference(resolution,[status(thm)],[c2466,e_1_is_not_e_2]) ).
cnf(c95,plain,
( product(e_2,e_1,e_1)
| ~ product(X121,e_1,e_2)
| equalish(X121,e_2) ),
inference(resolution,[status(thm)],[c50,product_left_cancellation]) ).
cnf(c10,plain,
( product(e_1,e_1,e_2)
| ~ product(e_1,X51,e_1)
| equalish(X51,e_1) ),
inference(resolution,[status(thm)],[c6,product_right_cancellation]) ).
cnf(c102,plain,
( product(e_1,e_2,e_2)
| product(e_1,e_1,e_2)
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[c75,c10]) ).
cnf(c424,plain,
( product(e_1,e_2,e_2)
| product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[c102,e_2_is_not_e_1]) ).
cnf(c452,plain,
( product(e_1,e_2,e_2)
| product(e_2,e_1,e_1)
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[c424,c95]) ).
cnf(c2038,plain,
( product(e_1,e_2,e_2)
| product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[c452,e_1_is_not_e_2]) ).
cnf(c2105,plain,
( product(e_1,e_2,e_2)
| ~ product(X305,e_1,e_1)
| equalish(X305,e_2) ),
inference(resolution,[status(thm)],[c2038,product_left_cancellation]) ).
cnf(c2474,plain,
( equalish(e_1,e_2)
| product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[c2459,c2105]) ).
cnf(c2677,plain,
product(e_1,e_2,e_2),
inference(resolution,[status(thm)],[c2474,e_1_is_not_e_2]) ).
cnf(qg2_2,negated_conjecture,
( ~ product(X39,X35,X38)
| ~ product(X37,X40,X38)
| ~ product(X36,X39,X35)
| ~ product(X36,X37,X40)
| equalish(X35,X40) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg2_2) ).
cnf(c35,plain,
( ~ product(X86,X87,X85)
| ~ product(X87,X85,X85)
| ~ product(X86,X86,X87)
| equalish(X87,X85) ),
inference(factor,[status(thm)],[qg2_2]) ).
cnf(product_total_function2,axiom,
( ~ product(X5,X6,X8)
| ~ product(X5,X6,X7)
| equalish(X8,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function2) ).
cnf(c7,plain,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[c2,element_2]) ).
cnf(c61,plain,
( product(e_2,e_2,e_1)
| ~ product(e_2,X104,e_2)
| equalish(X104,e_2) ),
inference(resolution,[status(thm)],[c7,product_right_cancellation]) ).
cnf(c14,plain,
( product(e_1,e_1,e_2)
| ~ product(X56,e_1,e_1)
| equalish(X56,e_1) ),
inference(resolution,[status(thm)],[c6,product_left_cancellation]) ).
cnf(c99,plain,
( product(e_1,e_1,e_2)
| equalish(e_2,e_1)
| product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[c14,c50]) ).
cnf(c264,plain,
( product(e_1,e_1,e_2)
| product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[c99,e_2_is_not_e_1]) ).
cnf(c319,plain,
( product(e_1,e_1,e_2)
| product(e_2,e_2,e_1)
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[c264,c61]) ).
cnf(c1802,plain,
( product(e_1,e_1,e_2)
| product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[c319,e_1_is_not_e_2]) ).
cnf(c1828,plain,
( product(e_2,e_2,e_1)
| ~ product(e_1,e_1,X285)
| equalish(X285,e_2) ),
inference(resolution,[status(thm)],[c1802,product_total_function2]) ).
cnf(c2476,plain,
( equalish(e_1,e_2)
| product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[c2459,c1828]) ).
cnf(c2761,plain,
product(e_2,e_2,e_1),
inference(resolution,[status(thm)],[c2476,e_1_is_not_e_2]) ).
cnf(c2804,plain,
( ~ product(e_2,e_1,X395)
| ~ product(e_1,X395,X395)
| equalish(e_1,X395) ),
inference(resolution,[status(thm)],[c2761,c35]) ).
cnf(c2838,plain,
( ~ product(e_2,e_1,e_2)
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[c2804,c2677]) ).
cnf(c2840,plain,
equalish(e_1,e_2),
inference(resolution,[status(thm)],[c2838,c2573]) ).
cnf(c2841,plain,
$false,
inference(resolution,[status(thm)],[c2840,e_1_is_not_e_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP132-2.002 : TPTP v8.1.2. Released v1.2.0.
% 0.08/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.35 % Computer : n025.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
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu May 9 04:09:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 1.69/1.88 % Version: 1.5
% 1.69/1.88 % SZS status Unsatisfiable
% 1.69/1.88 % SZS output start CNFRefutation
% See solution above
% 1.69/1.88
% 1.69/1.88 % Initial clauses : 13
% 1.69/1.88 % Processed clauses : 246
% 1.69/1.88 % Factors computed : 50
% 1.69/1.88 % Resolvents computed: 2792
% 1.69/1.88 % Tautologies deleted: 8
% 1.69/1.88 % Forward subsumed : 666
% 1.69/1.88 % Backward subsumed : 184
% 1.69/1.88 % -------- CPU Time ---------
% 1.69/1.88 % User time : 1.510 s
% 1.69/1.88 % System time : 0.011 s
% 1.69/1.88 % Total time : 1.521 s
%------------------------------------------------------------------------------