TSTP Solution File: GRP127-4.004 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GRP127-4.004 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n003.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 : 600s
% DateTime : Sat Jul 16 11:21:58 EDT 2022
% Result : Unsatisfiable 15.14s 15.32s
% Output : Refutation 15.14s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(e_2_is_not_e_1,axiom,
~ equalish(e_2,e_1),
input ).
cnf(product_idempotence,axiom,
product(X2,X2,X2),
input ).
cnf(product_right_cancellation,axiom,
( ~ product(X28,X30,X29)
| ~ product(X28,X31,X29)
| equalish(X30,X31) ),
input ).
cnf(c14,plain,
( ~ product(X35,X34,X35)
| equalish(X34,X35) ),
inference(resolution,status(thm),[product_right_cancellation,product_idempotence]) ).
cnf(qg3_2,negated_conjecture,
( product(X18,X20,X21)
| ~ product(X21,X20,X19)
| ~ product(X20,X19,X18) ),
input ).
cnf(e_3_is_not_e_1,axiom,
~ equalish(e_3,e_1),
input ).
cnf(product_total_function2,axiom,
( ~ product(X14,X15,X16)
| ~ product(X14,X15,X17)
| equalish(X16,X17) ),
input ).
cnf(e_4_is_not_e_2,axiom,
~ equalish(e_4,e_2),
input ).
cnf(e_3_is_not_e_2,axiom,
~ equalish(e_3,e_2),
input ).
cnf(e_1_is_not_e_2,axiom,
~ equalish(e_1,e_2),
input ).
cnf(c10,plain,
( ~ product(X23,X23,X22)
| equalish(X22,X23) ),
inference(resolution,status(thm),[product_total_function2,product_idempotence]) ).
cnf(element_2,axiom,
group_element(e_2),
input ).
cnf(element_1,axiom,
group_element(e_1),
input ).
cnf(row_surjectivity,axiom,
( ~ group_element(X3)
| ~ group_element(X4)
| product(e_1,X3,X4)
| product(e_2,X3,X4)
| product(e_3,X3,X4)
| product(e_4,X3,X4) ),
input ).
cnf(c0,plain,
( ~ group_element(X51)
| product(e_1,X51,e_1)
| product(e_2,X51,e_1)
| product(e_3,X51,e_1)
| product(e_4,X51,e_1) ),
inference(resolution,status(thm),[row_surjectivity,element_1]) ).
cnf(c25,plain,
( product(e_1,e_2,e_1)
| product(e_2,e_2,e_1)
| product(e_3,e_2,e_1)
| product(e_4,e_2,e_1) ),
inference(resolution,status(thm),[c0,element_2]) ).
cnf(c73,plain,
( product(e_2,e_2,e_1)
| product(e_3,e_2,e_1)
| product(e_4,e_2,e_1)
| equalish(e_2,e_1) ),
inference(resolution,status(thm),[c25,c14]) ).
cnf(c120,plain,
( product(e_2,e_2,e_1)
| product(e_3,e_2,e_1)
| product(e_4,e_2,e_1) ),
inference(resolution,status(thm),[c73,e_2_is_not_e_1]) ).
cnf(c153,plain,
( product(e_3,e_2,e_1)
| product(e_4,e_2,e_1)
| equalish(e_1,e_2) ),
inference(resolution,status(thm),[c120,c10]) ).
cnf(c181,plain,
( product(e_3,e_2,e_1)
| product(e_4,e_2,e_1) ),
inference(resolution,status(thm),[c153,e_1_is_not_e_2]) ).
cnf(c192,plain,
( product(e_3,e_2,e_1)
| ~ product(e_4,X67,e_1)
| equalish(X67,e_2) ),
inference(resolution,status(thm),[c181,product_right_cancellation]) ).
cnf(e_1_is_not_e_3,axiom,
~ equalish(e_1,e_3),
input ).
cnf(element_3,axiom,
group_element(e_3),
input ).
cnf(c26,plain,
( product(e_1,e_3,e_1)
| product(e_2,e_3,e_1)
| product(e_3,e_3,e_1)
| product(e_4,e_3,e_1) ),
inference(resolution,status(thm),[c0,element_3]) ).
cnf(c122,plain,
( product(e_2,e_3,e_1)
| product(e_3,e_3,e_1)
| product(e_4,e_3,e_1)
| equalish(e_3,e_1) ),
inference(resolution,status(thm),[c26,c14]) ).
cnf(c439,plain,
( product(e_2,e_3,e_1)
| product(e_3,e_3,e_1)
| product(e_4,e_3,e_1) ),
inference(resolution,status(thm),[c122,e_3_is_not_e_1]) ).
cnf(c451,plain,
( product(e_2,e_3,e_1)
| product(e_4,e_3,e_1)
| equalish(e_1,e_3) ),
inference(resolution,status(thm),[c439,c10]) ).
cnf(c504,plain,
( product(e_2,e_3,e_1)
| product(e_4,e_3,e_1) ),
inference(resolution,status(thm),[c451,e_1_is_not_e_3]) ).
cnf(c513,plain,
( product(e_2,e_3,e_1)
| product(e_3,e_2,e_1)
| equalish(e_3,e_2) ),
inference(resolution,status(thm),[c504,c192]) ).
cnf(c627,plain,
( product(e_2,e_3,e_1)
| product(e_3,e_2,e_1) ),
inference(resolution,status(thm),[c513,e_3_is_not_e_2]) ).
cnf(c640,plain,
( product(e_2,e_3,e_1)
| ~ product(e_3,X109,e_1)
| equalish(X109,e_2) ),
inference(resolution,status(thm),[c627,product_right_cancellation]) ).
cnf(e_1_is_not_e_4,axiom,
~ equalish(e_1,e_4),
input ).
cnf(e_4_is_not_e_1,axiom,
~ equalish(e_4,e_1),
input ).
cnf(element_4,axiom,
group_element(e_4),
input ).
cnf(c27,plain,
( product(e_1,e_4,e_1)
| product(e_2,e_4,e_1)
| product(e_3,e_4,e_1)
| product(e_4,e_4,e_1) ),
inference(resolution,status(thm),[c0,element_4]) ).
cnf(c197,plain,
( product(e_2,e_4,e_1)
| product(e_3,e_4,e_1)
| product(e_4,e_4,e_1)
| equalish(e_4,e_1) ),
inference(resolution,status(thm),[c27,c14]) ).
cnf(c1240,plain,
( product(e_2,e_4,e_1)
| product(e_3,e_4,e_1)
| product(e_4,e_4,e_1) ),
inference(resolution,status(thm),[c197,e_4_is_not_e_1]) ).
cnf(c1262,plain,
( product(e_2,e_4,e_1)
| product(e_3,e_4,e_1)
| equalish(e_1,e_4) ),
inference(resolution,status(thm),[c1240,c10]) ).
cnf(c1313,plain,
( product(e_2,e_4,e_1)
| product(e_3,e_4,e_1) ),
inference(resolution,status(thm),[c1262,e_1_is_not_e_4]) ).
cnf(c1323,plain,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| equalish(e_4,e_2) ),
inference(resolution,status(thm),[c1313,c640]) ).
cnf(c1938,plain,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_1) ),
inference(resolution,status(thm),[c1323,e_4_is_not_e_2]) ).
cnf(c1948,plain,
( product(e_2,e_3,e_1)
| ~ product(e_2,e_4,X186)
| equalish(X186,e_1) ),
inference(resolution,status(thm),[c1938,product_total_function2]) ).
cnf(e_2_is_not_e_4,axiom,
~ equalish(e_2,e_4),
input ).
cnf(e_4_is_not_e_3,axiom,
~ equalish(e_4,e_3),
input ).
cnf(c506,plain,
( product(e_4,e_3,e_1)
| ~ product(e_2,X96,e_1)
| equalish(X96,e_3) ),
inference(resolution,status(thm),[c504,product_right_cancellation]) ).
cnf(c1319,plain,
( product(e_3,e_4,e_1)
| product(e_4,e_3,e_1)
| equalish(e_4,e_3) ),
inference(resolution,status(thm),[c1313,c506]) ).
cnf(c1679,plain,
( product(e_3,e_4,e_1)
| product(e_4,e_3,e_1) ),
inference(resolution,status(thm),[c1319,e_4_is_not_e_3]) ).
cnf(c1730,plain,
( product(e_4,e_3,e_1)
| ~ product(e_3,X175,e_1)
| equalish(X175,e_4) ),
inference(resolution,status(thm),[c1679,product_right_cancellation]) ).
cnf(c629,plain,
( product(e_3,e_2,e_1)
| ~ product(e_2,X106,e_1)
| equalish(X106,e_3) ),
inference(resolution,status(thm),[c627,product_right_cancellation]) ).
cnf(c1317,plain,
( product(e_3,e_4,e_1)
| product(e_3,e_2,e_1)
| equalish(e_4,e_3) ),
inference(resolution,status(thm),[c1313,c629]) ).
cnf(c1494,plain,
( product(e_3,e_4,e_1)
| product(e_3,e_2,e_1) ),
inference(resolution,status(thm),[c1317,e_4_is_not_e_3]) ).
cnf(qg3,negated_conjecture,
( ~ product(X46,X45,X44)
| ~ product(X44,X46,X47)
| product(X47,X46,X45) ),
input ).
cnf(c628,plain,
( product(e_3,e_2,e_1)
| ~ product(e_3,X114,e_2)
| product(e_1,e_3,X114) ),
inference(resolution,status(thm),[c627,qg3]) ).
cnf(c1,plain,
( ~ group_element(X52)
| product(e_1,X52,e_2)
| product(e_2,X52,e_2)
| product(e_3,X52,e_2)
| product(e_4,X52,e_2) ),
inference(resolution,status(thm),[row_surjectivity,element_2]) ).
cnf(c28,plain,
( product(e_1,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2) ),
inference(resolution,status(thm),[c1,element_1]) ).
cnf(c234,plain,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2)
| equalish(e_2,e_1) ),
inference(resolution,status(thm),[c28,c10]) ).
cnf(c2710,plain,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2) ),
inference(resolution,status(thm),[c234,e_2_is_not_e_1]) ).
cnf(c2713,plain,
( product(e_3,e_1,e_2)
| product(e_4,e_1,e_2)
| equalish(e_1,e_2) ),
inference(resolution,status(thm),[c2710,c14]) ).
cnf(c2755,plain,
( product(e_3,e_1,e_2)
| product(e_4,e_1,e_2) ),
inference(resolution,status(thm),[c2713,e_1_is_not_e_2]) ).
cnf(c2756,plain,
( product(e_4,e_1,e_2)
| product(e_3,e_2,e_1)
| product(e_1,e_3,e_1) ),
inference(resolution,status(thm),[c2755,c628]) ).
cnf(c2921,plain,
( product(e_4,e_1,e_2)
| product(e_3,e_2,e_1)
| equalish(e_3,e_1) ),
inference(resolution,status(thm),[c2756,c14]) ).
cnf(c2971,plain,
( product(e_4,e_1,e_2)
| product(e_3,e_2,e_1) ),
inference(resolution,status(thm),[c2921,e_3_is_not_e_1]) ).
cnf(c2981,plain,
( product(e_3,e_2,e_1)
| product(e_2,e_4,X424)
| ~ product(X424,e_4,e_1) ),
inference(resolution,status(thm),[c2971,qg3_2]) ).
cnf(c3087,plain,
( product(e_3,e_2,e_1)
| product(e_2,e_4,e_3) ),
inference(resolution,status(thm),[c2981,c1494]) ).
cnf(c3095,plain,
( product(e_2,e_4,e_3)
| product(e_4,e_3,e_1)
| equalish(e_2,e_4) ),
inference(resolution,status(thm),[c3087,c1730]) ).
cnf(c3689,plain,
( product(e_2,e_4,e_3)
| product(e_4,e_3,e_1) ),
inference(resolution,status(thm),[c3095,e_2_is_not_e_4]) ).
cnf(c3728,plain,
( product(e_2,e_4,e_3)
| product(e_1,e_4,X545)
| ~ product(X545,e_4,e_3) ),
inference(resolution,status(thm),[c3689,qg3_2]) ).
cnf(e_3_is_not_e_4,axiom,
~ equalish(e_3,e_4),
input ).
cnf(c2,plain,
( ~ group_element(X53)
| product(e_1,X53,e_3)
| product(e_2,X53,e_3)
| product(e_3,X53,e_3)
| product(e_4,X53,e_3) ),
inference(resolution,status(thm),[row_surjectivity,element_3]) ).
cnf(c35,plain,
( product(e_1,e_4,e_3)
| product(e_2,e_4,e_3)
| product(e_3,e_4,e_3)
| product(e_4,e_4,e_3) ),
inference(resolution,status(thm),[c2,element_4]) ).
cnf(c413,plain,
( product(e_1,e_4,e_3)
| product(e_2,e_4,e_3)
| product(e_3,e_4,e_3)
| equalish(e_3,e_4) ),
inference(resolution,status(thm),[c35,c10]) ).
cnf(c12558,plain,
( product(e_1,e_4,e_3)
| product(e_2,e_4,e_3)
| equalish(e_3,e_4) ),
inference(resolution,status(thm),[c413,c3728]) ).
cnf(c13335,plain,
( product(e_1,e_4,e_3)
| product(e_2,e_4,e_3) ),
inference(resolution,status(thm),[c12558,e_3_is_not_e_4]) ).
cnf(c13359,plain,
( product(e_2,e_4,e_3)
| product(e_1,e_4,e_1) ),
inference(resolution,status(thm),[c13335,c3728]) ).
cnf(c13482,plain,
( product(e_2,e_4,e_3)
| equalish(e_4,e_1) ),
inference(resolution,status(thm),[c13359,c14]) ).
cnf(c13561,plain,
product(e_2,e_4,e_3),
inference(resolution,status(thm),[c13482,e_4_is_not_e_1]) ).
cnf(c13593,plain,
( product(e_2,e_3,e_1)
| equalish(e_3,e_1) ),
inference(resolution,status(thm),[c13561,c1948]) ).
cnf(c13744,plain,
product(e_2,e_3,e_1),
inference(resolution,status(thm),[c13593,e_3_is_not_e_1]) ).
cnf(c13762,plain,
( product(e_1,e_2,X807)
| ~ product(X807,e_2,e_3) ),
inference(resolution,status(thm),[c13744,qg3_2]) ).
cnf(c186,plain,
( product(e_4,e_2,e_1)
| ~ product(e_3,X64,e_1)
| equalish(X64,e_2) ),
inference(resolution,status(thm),[c181,product_right_cancellation]) ).
cnf(c1326,plain,
( product(e_2,e_4,e_1)
| product(e_4,e_2,e_1)
| equalish(e_4,e_2) ),
inference(resolution,status(thm),[c1313,c186]) ).
cnf(c2154,plain,
( product(e_2,e_4,e_1)
| product(e_4,e_2,e_1) ),
inference(resolution,status(thm),[c1326,e_4_is_not_e_2]) ).
cnf(c2166,plain,
( product(e_4,e_2,e_1)
| ~ product(e_2,e_4,X193)
| equalish(X193,e_1) ),
inference(resolution,status(thm),[c2154,product_total_function2]) ).
cnf(c13617,plain,
( product(e_4,e_2,e_1)
| equalish(e_3,e_1) ),
inference(resolution,status(thm),[c13561,c2166]) ).
cnf(c14290,plain,
product(e_4,e_2,e_1),
inference(resolution,status(thm),[c13617,e_3_is_not_e_1]) ).
cnf(c14313,plain,
( ~ product(e_4,e_2,X801)
| equalish(X801,e_1) ),
inference(resolution,status(thm),[c14290,product_total_function2]) ).
cnf(c33,plain,
( product(e_1,e_2,e_3)
| product(e_2,e_2,e_3)
| product(e_3,e_2,e_3)
| product(e_4,e_2,e_3) ),
inference(resolution,status(thm),[c2,element_2]) ).
cnf(c368,plain,
( product(e_1,e_2,e_3)
| product(e_3,e_2,e_3)
| product(e_4,e_2,e_3)
| equalish(e_3,e_2) ),
inference(resolution,status(thm),[c33,c10]) ).
cnf(c14499,plain,
( product(e_1,e_2,e_3)
| product(e_4,e_2,e_3)
| equalish(e_3,e_2) ),
inference(resolution,status(thm),[c13762,c368]) ).
cnf(c16469,plain,
( product(e_1,e_2,e_3)
| product(e_4,e_2,e_3) ),
inference(resolution,status(thm),[c14499,e_3_is_not_e_2]) ).
cnf(c16494,plain,
( product(e_1,e_2,e_3)
| equalish(e_3,e_1) ),
inference(resolution,status(thm),[c16469,c14313]) ).
cnf(c16528,plain,
product(e_1,e_2,e_3),
inference(resolution,status(thm),[c16494,e_3_is_not_e_1]) ).
cnf(c16541,plain,
product(e_1,e_2,e_1),
inference(resolution,status(thm),[c16528,c13762]) ).
cnf(c16550,plain,
equalish(e_2,e_1),
inference(resolution,status(thm),[c16541,c14]) ).
cnf(c16584,plain,
$false,
inference(resolution,status(thm),[c16550,e_2_is_not_e_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP127-4.004 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n003.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Tue Jun 14 11:48:40 EDT 2022
% 0.13/0.35 % CPUTime :
% 15.14/15.32 # Version: 1.3
% 15.14/15.32 # SZS status Unsatisfiable
% 15.14/15.32 # SZS output start CNFRefutation
% See solution above
% 15.14/15.32
% 15.14/15.32 # Initial clauses : 26
% 15.14/15.32 # Processed clauses : 728
% 15.14/15.32 # Factors computed : 0
% 15.14/15.32 # Resolvents computed: 16585
% 15.14/15.32 # Tautologies deleted: 0
% 15.14/15.32 # Forward subsumed : 2027
% 15.14/15.32 # Backward subsumed : 448
% 15.14/15.32 # -------- CPU Time ---------
% 15.14/15.32 # User time : 14.899 s
% 15.14/15.32 # System time : 0.067 s
% 15.14/15.32 # Total time : 14.966 s
%------------------------------------------------------------------------------