TSTP Solution File: GRP124-2.004 by PyRes---1.5
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%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GRP124-2.004 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n023.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 17:23:04 EDT 2024
% Result : Unsatisfiable 1.01s 1.18s
% Output : Refutation 1.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 22
% Syntax : Number of clauses : 63 ( 23 unt; 27 nHn; 62 RR)
% Number of literals : 148 ( 0 equ; 39 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 35 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
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(e_2_then_e_3,axiom,
next(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_then_e_3) ).
cnf(e_4_greater_e_3,axiom,
greater(e_4,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_greater_e_3) ).
cnf(no_redundancy,axiom,
( ~ product(X3,e_1,X5)
| ~ next(X3,X4)
| ~ greater(X5,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',no_redundancy) ).
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_idempotence,axiom,
product(X2,X2,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_idempotence) ).
cnf(product_right_cancellation,axiom,
( ~ product(X20,X23,X22)
| ~ product(X20,X21,X22)
| equalish(X23,X21) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation) ).
cnf(c11,plain,
( ~ product(X31,X32,X31)
| equalish(X32,X31) ),
inference(resolution,[status(thm)],[product_right_cancellation,product_idempotence]) ).
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(product_left_cancellation,axiom,
( ~ product(X27,X26,X24)
| ~ product(X25,X26,X24)
| equalish(X27,X25) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation) ).
cnf(c13,plain,
( ~ product(X37,X38,X38)
| equalish(X37,X38) ),
inference(resolution,[status(thm)],[product_left_cancellation,product_idempotence]) ).
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(X11)
| ~ group_element(X12)
| product(X11,X12,e_1)
| product(X11,X12,e_2)
| product(X11,X12,e_3)
| product(X11,X12,e_4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1) ).
cnf(c4,plain,
( ~ group_element(X83)
| product(X83,e_1,e_1)
| product(X83,e_1,e_2)
| product(X83,e_1,e_3)
| product(X83,e_1,e_4) ),
inference(resolution,[status(thm)],[product_total_function1,element_1]) ).
cnf(c38,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[c4,element_2]) ).
cnf(c59,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_4)
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[c38,c13]) ).
cnf(c118,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[c59,e_2_is_not_e_1]) ).
cnf(c119,plain,
( product(e_2,e_1,e_3)
| product(e_2,e_1,e_4)
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[c118,c11]) ).
cnf(c160,plain,
( product(e_2,e_1,e_3)
| product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[c119,e_1_is_not_e_2]) ).
cnf(c172,plain,
( product(e_2,e_1,e_3)
| ~ next(e_2,X106)
| ~ greater(e_4,X106) ),
inference(resolution,[status(thm)],[c160,no_redundancy]) ).
cnf(c215,plain,
( product(e_2,e_1,e_3)
| ~ next(e_2,e_3) ),
inference(resolution,[status(thm)],[c172,e_4_greater_e_3]) ).
cnf(c250,plain,
product(e_2,e_1,e_3),
inference(resolution,[status(thm)],[c215,e_2_then_e_3]) ).
cnf(qg2_2,negated_conjecture,
( ~ product(X56,X59,X57)
| ~ product(X58,X55,X57)
| ~ product(X60,X56,X59)
| ~ product(X60,X58,X55)
| equalish(X59,X55) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg2_2) ).
cnf(c26,plain,
( ~ product(X97,X94,X96)
| ~ product(X95,X95,X96)
| ~ product(X95,X97,X94)
| equalish(X94,X95) ),
inference(resolution,[status(thm)],[qg2_2,product_idempotence]) ).
cnf(e_4_is_not_e_3,axiom,
~ equalish(e_4,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_is_not_e_3) ).
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(c258,plain,
( ~ product(X110,e_1,e_3)
| equalish(X110,e_2) ),
inference(resolution,[status(thm)],[c250,product_left_cancellation]) ).
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(element_3,axiom,
group_element(e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_3) ).
cnf(c39,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[c4,element_3]) ).
cnf(c179,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[c39,c13]) ).
cnf(c598,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[c179,e_3_is_not_e_1]) ).
cnf(c608,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_4)
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[c598,c258]) ).
cnf(c641,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[c608,e_3_is_not_e_2]) ).
cnf(c644,plain,
( product(e_3,e_1,e_4)
| ~ product(X161,e_1,e_2)
| equalish(X161,e_3) ),
inference(resolution,[status(thm)],[c641,product_left_cancellation]) ).
cnf(e_1_is_not_e_4,axiom,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_4) ).
cnf(e_4_is_not_e_2,axiom,
~ equalish(e_4,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_is_not_e_2) ).
cnf(e_4_is_not_e_1,axiom,
~ equalish(e_4,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_is_not_e_1) ).
cnf(element_4,axiom,
group_element(e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_4) ).
cnf(c40,plain,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[c4,element_4]) ).
cnf(c216,plain,
( product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[c40,c13]) ).
cnf(c712,plain,
( product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[c216,e_4_is_not_e_1]) ).
cnf(c723,plain,
( product(e_4,e_1,e_2)
| product(e_4,e_1,e_4)
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[c712,c258]) ).
cnf(c760,plain,
( product(e_4,e_1,e_2)
| product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[c723,e_4_is_not_e_2]) ).
cnf(c777,plain,
( product(e_4,e_1,e_2)
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[c760,c11]) ).
cnf(c789,plain,
product(e_4,e_1,e_2),
inference(resolution,[status(thm)],[c777,e_1_is_not_e_4]) ).
cnf(c790,plain,
( product(e_3,e_1,e_4)
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[c789,c644]) ).
cnf(c818,plain,
product(e_3,e_1,e_4),
inference(resolution,[status(thm)],[c790,e_4_is_not_e_3]) ).
cnf(c828,plain,
( ~ product(e_3,X217,e_4)
| equalish(X217,e_1) ),
inference(resolution,[status(thm)],[c818,product_right_cancellation]) ).
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(c5,plain,
( ~ group_element(X93)
| product(X93,e_2,e_1)
| product(X93,e_2,e_2)
| product(X93,e_2,e_3)
| product(X93,e_2,e_4) ),
inference(resolution,[status(thm)],[product_total_function1,element_2]) ).
cnf(c46,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[c5,element_3]) ).
cnf(c303,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_4)
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[c46,c13]) ).
cnf(c1098,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[c303,e_3_is_not_e_2]) ).
cnf(c1115,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_4)
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[c1098,c11]) ).
cnf(c1148,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[c1115,e_2_is_not_e_3]) ).
cnf(c1162,plain,
( product(e_3,e_2,e_1)
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[c1148,c828]) ).
cnf(c1177,plain,
product(e_3,e_2,e_1),
inference(resolution,[status(thm)],[c1162,e_2_is_not_e_1]) ).
cnf(c1180,plain,
( ~ product(e_2,e_1,X421)
| ~ product(e_3,e_3,X421)
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[c1177,c26]) ).
cnf(c1196,plain,
( ~ product(e_2,e_1,e_3)
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[c1180,product_idempotence]) ).
cnf(c1197,plain,
equalish(e_1,e_3),
inference(resolution,[status(thm)],[c1196,c250]) ).
cnf(c1198,plain,
$false,
inference(resolution,[status(thm)],[c1197,e_1_is_not_e_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP124-2.004 : TPTP v8.1.2. Released v1.2.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu May 9 04:38:23 EDT 2024
% 0.13/0.35 % CPUTime :
% 1.01/1.18 % Version: 1.5
% 1.01/1.18 % SZS status Unsatisfiable
% 1.01/1.18 % SZS output start CNFRefutation
% See solution above
% 1.01/1.18
% 1.01/1.18 % Initial clauses : 33
% 1.01/1.18 % Processed clauses : 179
% 1.01/1.18 % Factors computed : 28
% 1.01/1.18 % Resolvents computed: 1171
% 1.01/1.18 % Tautologies deleted: 0
% 1.01/1.18 % Forward subsumed : 311
% 1.01/1.18 % Backward subsumed : 64
% 1.01/1.18 % -------- CPU Time ---------
% 1.01/1.18 % User time : 0.810 s
% 1.01/1.18 % System time : 0.018 s
% 1.01/1.18 % Total time : 0.828 s
%------------------------------------------------------------------------------