%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GRP131-2.002 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n005.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 1.16s 1.34s
% Output : Refutation 1.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of clauses : 43 ( 9 unt; 27 nHn; 43 RR)
% Number of literals : 108 ( 0 equ; 37 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 : 41 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
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(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_right_cancellation,axiom,
( ~ product(X13,X15,X12)
| ~ product(X13,X14,X12)
| equalish(X15,X14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_right_cancellation) ).
cnf(element_1,axiom,
group_element(e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_1) ).
cnf(element_2,axiom,
group_element(e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_2) ).
cnf(product_total_function1,axiom,
( ~ group_element(X20)
| ~ group_element(X19)
| product(X20,X19,e_1)
| product(X20,X19,e_2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_total_function1) ).
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(c100,plain,
( product(e_1,e_2,e_2)
| ~ product(e_1,X126,e_1)
| equalish(X126,e_2) ),
inference(resolution,[status(thm)],[c75,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(c15,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)],[c15,c75]) ).
cnf(c527,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(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(product_left_cancellation,axiom,
( ~ product(X22,X21,X24)
| ~ product(X23,X21,X24)
| equalish(X22,X23) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_left_cancellation) ).
cnf(c18,plain,
( product(e_1,e_1,e_1)
| ~ product(X63,e_1,e_2)
| equalish(X63,e_1) ),
inference(resolution,[status(thm)],[c6,product_left_cancellation]) ).
cnf(c121,plain,
( product(e_1,e_1,e_1)
| equalish(e_2,e_1)
| product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[c18,c50]) ).
cnf(c630,plain,
( product(e_1,e_1,e_1)
| product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[c121,e_2_is_not_e_1]) ).
cnf(qg1_1,negated_conjecture,
( ~ product(X33,X29,X31)
| ~ product(X30,X34,X31)
| ~ product(X32,X29,X33)
| ~ product(X32,X34,X30)
| equalish(X33,X30) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg1_1) ).
cnf(c34,plain,
( ~ product(X108,X106,X107)
| ~ product(e_2,e_1,X107)
| ~ product(e_1,X106,X108)
| equalish(X108,e_2)
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[qg1_1,c6]) ).
cnf(c159,plain,
( ~ product(e_1,X257,e_1)
| ~ product(e_2,e_1,e_1)
| equalish(e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(factor,[status(thm)],[c34]) ).
cnf(c1258,plain,
( ~ product(e_1,X277,e_1)
| equalish(e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[c159,c630]) ).
cnf(c1473,plain,
( equalish(e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[c1258,c527]) ).
cnf(c1490,plain,
( equalish(e_1,e_2)
| product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[c1473,c100]) ).
cnf(c1702,plain,
product(e_1,e_2,e_2),
inference(resolution,[status(thm)],[c1490,e_1_is_not_e_2]) ).
cnf(c82,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(c1483,plain,
( equalish(e_1,e_2)
| product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[c1473,c82]) ).
cnf(c1562,plain,
product(e_2,e_1,e_2),
inference(resolution,[status(thm)],[c1483,e_1_is_not_e_2]) ).
cnf(qg1_2,negated_conjecture,
( ~ product(X39,X35,X37)
| ~ product(X36,X40,X37)
| ~ product(X38,X35,X39)
| ~ product(X38,X40,X36)
| equalish(X35,X40) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg1_2) ).
cnf(c36,plain,
( ~ product(X88,X89,X90)
| ~ product(X90,X87,X90)
| ~ product(X90,X89,X88)
| equalish(X89,X87) ),
inference(factor,[status(thm)],[qg1_2]) ).
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(c59,plain,
( product(e_2,e_2,e_1)
| ~ product(e_2,X105,e_2)
| equalish(X105,e_2) ),
inference(resolution,[status(thm)],[c7,product_right_cancellation]) ).
cnf(c158,plain,
( product(e_2,e_2,e_1)
| equalish(e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[c59,c50]) ).
cnf(c1164,plain,
( product(e_2,e_2,e_1)
| product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[c158,e_1_is_not_e_2]) ).
cnf(c1240,plain,
( product(e_2,e_2,e_1)
| ~ product(X266,e_1,e_1)
| equalish(X266,e_2) ),
inference(resolution,[status(thm)],[c1164,product_left_cancellation]) ).
cnf(c1487,plain,
( equalish(e_1,e_2)
| product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[c1473,c1240]) ).
cnf(c1641,plain,
product(e_2,e_2,e_1),
inference(resolution,[status(thm)],[c1487,e_1_is_not_e_2]) ).
cnf(c1690,plain,
( ~ product(e_1,e_2,e_2)
| ~ product(e_2,X332,e_2)
| equalish(e_2,X332) ),
inference(resolution,[status(thm)],[c1641,c36]) ).
cnf(c1761,plain,
( ~ product(e_1,e_2,e_2)
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[c1690,c1562]) ).
cnf(c1762,plain,
equalish(e_2,e_1),
inference(resolution,[status(thm)],[c1761,c1702]) ).
cnf(c1763,plain,
$false,
inference(resolution,[status(thm)],[c1762,e_2_is_not_e_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.14 % Problem : GRP131-2.002 : TPTP v8.1.2. Released v1.2.0.
% 0.05/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.36 % Computer : n005.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 03:49:08 EDT 2024
% 0.15/0.36 % CPUTime :
% 1.16/1.34 % Version: 1.5
% 1.16/1.34 % SZS status Unsatisfiable
% 1.16/1.34 % SZS output start CNFRefutation
% See solution above
% 1.16/1.34
% 1.16/1.34 % Initial clauses : 13
% 1.16/1.34 % Processed clauses : 194
% 1.16/1.34 % Factors computed : 38
% 1.16/1.34 % Resolvents computed: 1726
% 1.16/1.34 % Tautologies deleted: 0
% 1.16/1.34 % Forward subsumed : 451
% 1.16/1.34 % Backward subsumed : 138
% 1.16/1.34 % -------- CPU Time ---------
% 1.16/1.34 % User time : 0.960 s
% 1.16/1.34 % System time : 0.018 s
% 1.16/1.34 % Total time : 0.978 s
%------------------------------------------------------------------------------