TSTP Solution File: GRP127-1.004 by PyRes---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GRP127-1.004 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n002.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 17:23:09 EDT 2024
% Result : Unsatisfiable 3.46s 3.63s
% Output : Refutation 3.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 21
% Syntax : Number of clauses : 88 ( 21 unt; 58 nHn; 87 RR)
% Number of literals : 220 ( 0 equ; 36 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_2_is_not_e_4,axiom,
~ equalish(e_2,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_4) ).
cnf(product_idempotence,axiom,
product(X2,X2,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_idempotence) ).
cnf(product_right_cancellation,axiom,
( ~ product(X19,X18,X17)
| ~ product(X19,X16,X17)
| equalish(X18,X16) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation) ).
cnf(c10,plain,
( ~ product(X23,X24,X23)
| equalish(X24,X23) ),
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(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_left_cancellation,axiom,
( ~ product(X28,X29,X27)
| ~ product(X26,X29,X27)
| equalish(X28,X26) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_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(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(c13,plain,
( ~ product(X38,X37,X37)
| equalish(X38,X37) ),
inference(resolution,[status(thm)],[product_left_cancellation,product_idempotence]) ).
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(X4)
| ~ group_element(X3)
| product(X4,X3,e_1)
| product(X4,X3,e_2)
| product(X4,X3,e_3)
| product(X4,X3,e_4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1) ).
cnf(c2,plain,
( ~ group_element(X46)
| product(X46,e_2,e_1)
| product(X46,e_2,e_2)
| product(X46,e_2,e_3)
| product(X46,e_2,e_4) ),
inference(resolution,[status(thm)],[product_total_function1,element_2]) ).
cnf(c28,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)],[c2,element_3]) ).
cnf(c179,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)],[c28,c13]) ).
cnf(c1520,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)],[c179,e_3_is_not_e_2]) ).
cnf(c3107,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_4)
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[c1520,c10]) ).
cnf(c3163,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[c3107,e_2_is_not_e_3]) ).
cnf(c3197,plain,
( product(e_3,e_2,e_1)
| ~ product(X365,e_2,e_4)
| equalish(X365,e_3) ),
inference(resolution,[status(thm)],[c3163,product_left_cancellation]) ).
cnf(product_total_function2,axiom,
( ~ product(X8,X6,X7)
| ~ product(X8,X6,X5)
| equalish(X7,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function2) ).
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_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(element_1,axiom,
group_element(e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_1) ).
cnf(c1,plain,
( ~ group_element(X45)
| product(X45,e_1,e_1)
| product(X45,e_1,e_2)
| product(X45,e_1,e_3)
| product(X45,e_1,e_4) ),
inference(resolution,[status(thm)],[product_total_function1,element_1]) ).
cnf(c23,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)],[c1,element_2]) ).
cnf(c39,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)],[c23,c13]) ).
cnf(c71,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)],[c39,e_2_is_not_e_1]) ).
cnf(c95,plain,
( product(e_2,e_1,e_3)
| product(e_2,e_1,e_4)
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[c71,c10]) ).
cnf(c113,plain,
( product(e_2,e_1,e_3)
| product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[c95,e_1_is_not_e_2]) ).
cnf(c117,plain,
( product(e_2,e_1,e_4)
| ~ product(X51,e_1,e_3)
| equalish(X51,e_2) ),
inference(resolution,[status(thm)],[c113,product_left_cancellation]) ).
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_1,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_1) ).
cnf(c24,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)],[c1,element_3]) ).
cnf(c73,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)],[c24,c13]) ).
cnf(c270,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)],[c73,e_3_is_not_e_1]) ).
cnf(c280,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_4)
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[c270,c10]) ).
cnf(c296,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[c280,e_1_is_not_e_3]) ).
cnf(c300,plain,
( product(e_3,e_1,e_4)
| ~ product(X76,e_1,e_2)
| equalish(X76,e_3) ),
inference(resolution,[status(thm)],[c296,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_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(c25,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)],[c1,element_4]) ).
cnf(c125,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)],[c25,c13]) ).
cnf(c486,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)],[c125,e_4_is_not_e_1]) ).
cnf(c502,plain,
( product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[c486,c10]) ).
cnf(c519,plain,
( product(e_4,e_1,e_2)
| product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[c502,e_1_is_not_e_4]) ).
cnf(c522,plain,
( product(e_4,e_1,e_3)
| product(e_3,e_1,e_4)
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[c519,c300]) ).
cnf(c646,plain,
( product(e_4,e_1,e_3)
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[c522,e_4_is_not_e_3]) ).
cnf(c660,plain,
( product(e_3,e_1,e_4)
| product(e_2,e_1,e_4)
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[c646,c117]) ).
cnf(c906,plain,
( product(e_3,e_1,e_4)
| product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[c660,e_4_is_not_e_2]) ).
cnf(c932,plain,
( product(e_3,e_1,e_4)
| ~ product(e_2,e_1,X196)
| equalish(X196,e_4) ),
inference(resolution,[status(thm)],[c906,product_total_function2]) ).
cnf(qg3,negated_conjecture,
( ~ product(X36,X35,X34)
| ~ product(X34,X36,X33)
| product(X33,X36,X35) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3) ).
cnf(c298,plain,
( product(e_3,e_1,e_4)
| ~ product(e_1,X80,e_3)
| product(e_2,e_1,X80) ),
inference(resolution,[status(thm)],[c296,qg3]) ).
cnf(c26,plain,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[c2,element_1]) ).
cnf(c153,plain,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4)
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[c26,c10]) ).
cnf(c1039,plain,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[c153,e_2_is_not_e_1]) ).
cnf(c1049,plain,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_4)
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[c1039,c13]) ).
cnf(c1091,plain,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[c1049,e_1_is_not_e_2]) ).
cnf(c1094,plain,
( product(e_1,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[c1091,c298]) ).
cnf(c1174,plain,
( product(e_1,e_2,e_4)
| product(e_3,e_1,e_4)
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[c1094,c932]) ).
cnf(c1216,plain,
( product(e_1,e_2,e_4)
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[c1174,e_2_is_not_e_4]) ).
cnf(c1236,plain,
( product(e_1,e_2,e_4)
| ~ product(e_3,X247,e_4)
| equalish(X247,e_1) ),
inference(resolution,[status(thm)],[c1216,product_right_cancellation]) ).
cnf(c3186,plain,
( product(e_3,e_2,e_1)
| product(e_1,e_2,e_4)
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[c3163,c1236]) ).
cnf(c3301,plain,
( product(e_3,e_2,e_1)
| product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[c3186,e_2_is_not_e_1]) ).
cnf(c3338,plain,
( product(e_3,e_2,e_1)
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[c3301,c3197]) ).
cnf(c3371,plain,
product(e_3,e_2,e_1),
inference(resolution,[status(thm)],[c3338,e_1_is_not_e_3]) ).
cnf(c3379,plain,
( ~ product(X371,e_2,e_1)
| equalish(X371,e_3) ),
inference(resolution,[status(thm)],[c3371,product_left_cancellation]) ).
cnf(c121,plain,
( product(e_2,e_1,e_3)
| ~ product(X54,e_1,e_4)
| equalish(X54,e_2) ),
inference(resolution,[status(thm)],[c113,product_left_cancellation]) ).
cnf(c302,plain,
( product(e_3,e_1,e_2)
| product(e_2,e_1,e_3)
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[c296,c121]) ).
cnf(c399,plain,
( product(e_3,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[c302,e_3_is_not_e_2]) ).
cnf(c404,plain,
( product(e_2,e_1,e_3)
| ~ product(X81,e_1,e_2)
| equalish(X81,e_3) ),
inference(resolution,[status(thm)],[c399,product_left_cancellation]) ).
cnf(c520,plain,
( product(e_4,e_1,e_3)
| product(e_2,e_1,e_3)
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[c519,c404]) ).
cnf(c570,plain,
( product(e_4,e_1,e_3)
| product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[c520,e_4_is_not_e_3]) ).
cnf(c3380,plain,
( ~ product(e_2,X372,e_3)
| product(e_1,e_2,X372) ),
inference(resolution,[status(thm)],[c3371,qg3]) ).
cnf(c3480,plain,
( product(e_1,e_2,e_1)
| product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[c3380,c570]) ).
cnf(c3497,plain,
( product(e_4,e_1,e_3)
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[c3480,c3379]) ).
cnf(c3557,plain,
product(e_4,e_1,e_3),
inference(resolution,[status(thm)],[c3497,e_1_is_not_e_3]) ).
cnf(c3568,plain,
( ~ product(e_4,X375,e_3)
| equalish(X375,e_1) ),
inference(resolution,[status(thm)],[c3557,product_right_cancellation]) ).
cnf(c29,plain,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[c2,element_4]) ).
cnf(c198,plain,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_4)
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[c29,c13]) ).
cnf(c1740,plain,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[c198,e_4_is_not_e_2]) ).
cnf(c4257,plain,
( product(e_4,e_2,e_3)
| product(e_4,e_2,e_4)
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[c1740,c3379]) ).
cnf(c4315,plain,
( product(e_4,e_2,e_3)
| product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[c4257,e_4_is_not_e_3]) ).
cnf(c4330,plain,
( product(e_4,e_2,e_4)
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[c4315,c3568]) ).
cnf(c4360,plain,
product(e_4,e_2,e_4),
inference(resolution,[status(thm)],[c4330,e_2_is_not_e_1]) ).
cnf(c4367,plain,
equalish(e_2,e_4),
inference(resolution,[status(thm)],[c4360,c10]) ).
cnf(c4372,plain,
$false,
inference(resolution,[status(thm)],[c4367,e_2_is_not_e_4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP127-1.004 : TPTP v8.1.2. Released v1.2.0.
% 0.03/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n002.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu May 9 03:30:38 EDT 2024
% 0.13/0.34 % CPUTime :
% 3.46/3.63 % Version: 1.5
% 3.46/3.63 % SZS status Unsatisfiable
% 3.46/3.63 % SZS output start CNFRefutation
% See solution above
% 3.46/3.63
% 3.46/3.63 % Initial clauses : 22
% 3.46/3.63 % Processed clauses : 384
% 3.46/3.63 % Factors computed : 5
% 3.46/3.63 % Resolvents computed: 4368
% 3.46/3.63 % Tautologies deleted: 1
% 3.46/3.63 % Forward subsumed : 1125
% 3.46/3.63 % Backward subsumed : 237
% 3.46/3.63 % -------- CPU Time ---------
% 3.46/3.63 % User time : 3.267 s
% 3.46/3.63 % System time : 0.019 s
% 3.46/3.63 % Total time : 3.286 s
%------------------------------------------------------------------------------