TSTP Solution File: GRP124-4.004 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GRP124-4.004 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n009.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 11:21:48 EDT 2022
% Result : Unsatisfiable 6.15s 6.34s
% Output : Refutation 6.15s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(e_2_is_not_e_3,axiom,
~ equalish(e_2,e_3),
input ).
cnf(e_2_is_not_e_4,axiom,
~ equalish(e_2,e_4),
input ).
cnf(product_right_cancellation,axiom,
( ~ product(X15,X17,X16)
| ~ product(X15,X14,X16)
| equalish(X17,X14) ),
input ).
cnf(e_3_is_not_e_4,axiom,
~ equalish(e_3,e_4),
input ).
cnf(product_idempotence,axiom,
product(X2,X2,X2),
input ).
cnf(product_total_function2,axiom,
( ~ product(X8,X10,X9)
| ~ product(X8,X10,X7)
| equalish(X9,X7) ),
input ).
cnf(c8,plain,
( ~ product(X12,X12,X11)
| equalish(X11,X12) ),
inference(resolution,status(thm),[product_total_function2,product_idempotence]) ).
cnf(e_4_is_not_e_3,axiom,
~ equalish(e_4,e_3),
input ).
cnf(c10,plain,
( ~ product(X20,X21,X20)
| equalish(X21,X20) ),
inference(resolution,status(thm),[product_right_cancellation,product_idempotence]) ).
cnf(element_4,axiom,
group_element(e_4),
input ).
cnf(element_3,axiom,
group_element(e_3),
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(c1,plain,
( ~ group_element(X55)
| product(e_1,X55,e_3)
| product(e_2,X55,e_3)
| product(e_3,X55,e_3)
| product(e_4,X55,e_3) ),
inference(resolution,status(thm),[row_surjectivity,element_3]) ).
cnf(c28,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),[c1,element_4]) ).
cnf(c296,plain,
( product(e_1,e_4,e_3)
| product(e_2,e_4,e_3)
| product(e_4,e_4,e_3)
| equalish(e_4,e_3) ),
inference(resolution,status(thm),[c28,c10]) ).
cnf(c5423,plain,
( product(e_1,e_4,e_3)
| product(e_2,e_4,e_3)
| product(e_4,e_4,e_3) ),
inference(resolution,status(thm),[c296,e_4_is_not_e_3]) ).
cnf(c5475,plain,
( product(e_1,e_4,e_3)
| product(e_2,e_4,e_3)
| equalish(e_3,e_4) ),
inference(resolution,status(thm),[c5423,c8]) ).
cnf(c5538,plain,
( product(e_1,e_4,e_3)
| product(e_2,e_4,e_3) ),
inference(resolution,status(thm),[c5475,e_3_is_not_e_4]) ).
cnf(c5554,plain,
( product(e_2,e_4,e_3)
| ~ product(e_1,X653,e_3)
| equalish(X653,e_4) ),
inference(resolution,status(thm),[c5538,product_right_cancellation]) ).
cnf(e_3_is_not_e_2,axiom,
~ equalish(e_3,e_2),
input ).
cnf(qg2_2,negated_conjecture,
( ~ product(X46,X42,X43)
| ~ product(X45,X44,X43)
| ~ product(X47,X46,X42)
| ~ product(X47,X45,X44)
| equalish(X42,X44) ),
input ).
cnf(c20,plain,
( ~ product(X48,X50,X51)
| ~ product(X49,X49,X51)
| ~ product(X49,X48,X50)
| equalish(X50,X49) ),
inference(resolution,status(thm),[qg2_2,product_idempotence]) ).
cnf(e_4_is_not_e_2,axiom,
~ equalish(e_4,e_2),
input ).
cnf(element_2,axiom,
group_element(e_2),
input ).
cnf(c0,plain,
( ~ group_element(X54)
| product(e_1,X54,e_2)
| product(e_2,X54,e_2)
| product(e_3,X54,e_2)
| product(e_4,X54,e_2) ),
inference(resolution,status(thm),[row_surjectivity,element_2]) ).
cnf(c24,plain,
( product(e_1,e_4,e_2)
| product(e_2,e_4,e_2)
| product(e_3,e_4,e_2)
| product(e_4,e_4,e_2) ),
inference(resolution,status(thm),[c0,element_4]) ).
cnf(c187,plain,
( product(e_1,e_4,e_2)
| product(e_3,e_4,e_2)
| product(e_4,e_4,e_2)
| equalish(e_4,e_2) ),
inference(resolution,status(thm),[c24,c10]) ).
cnf(c438,plain,
( product(e_1,e_4,e_2)
| product(e_3,e_4,e_2)
| product(e_4,e_4,e_2) ),
inference(resolution,status(thm),[c187,e_4_is_not_e_2]) ).
cnf(c464,plain,
( product(e_1,e_4,e_2)
| product(e_3,e_4,e_2)
| equalish(e_2,e_4) ),
inference(resolution,status(thm),[c438,c8]) ).
cnf(c480,plain,
( product(e_1,e_4,e_2)
| product(e_3,e_4,e_2) ),
inference(resolution,status(thm),[c464,e_2_is_not_e_4]) ).
cnf(c489,plain,
( product(e_1,e_4,e_2)
| ~ product(e_4,e_2,X126)
| ~ product(e_3,e_3,X126)
| equalish(e_2,e_3) ),
inference(resolution,status(thm),[c480,c20]) ).
cnf(c1022,plain,
( product(e_1,e_4,e_2)
| ~ product(e_4,e_2,e_3)
| equalish(e_2,e_3) ),
inference(resolution,status(thm),[c489,product_idempotence]) ).
cnf(c26,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),[c1,element_2]) ).
cnf(c257,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),[c26,c8]) ).
cnf(c3464,plain,
( product(e_1,e_2,e_3)
| product(e_3,e_2,e_3)
| product(e_4,e_2,e_3) ),
inference(resolution,status(thm),[c257,e_3_is_not_e_2]) ).
cnf(c3488,plain,
( product(e_1,e_2,e_3)
| product(e_4,e_2,e_3)
| equalish(e_2,e_3) ),
inference(resolution,status(thm),[c3464,c10]) ).
cnf(c3537,plain,
( product(e_1,e_2,e_3)
| equalish(e_2,e_3)
| product(e_1,e_4,e_2) ),
inference(resolution,status(thm),[c3488,c1022]) ).
cnf(c4548,plain,
( product(e_1,e_2,e_3)
| product(e_1,e_4,e_2) ),
inference(resolution,status(thm),[c3537,e_2_is_not_e_3]) ).
cnf(c4619,plain,
( product(e_1,e_2,e_3)
| ~ product(e_1,e_4,X475)
| equalish(X475,e_2) ),
inference(resolution,status(thm),[c4548,product_total_function2]) ).
cnf(c5540,plain,
( product(e_2,e_4,e_3)
| product(e_1,e_2,e_3)
| equalish(e_3,e_2) ),
inference(resolution,status(thm),[c5538,c4619]) ).
cnf(c5847,plain,
( product(e_2,e_4,e_3)
| product(e_1,e_2,e_3) ),
inference(resolution,status(thm),[c5540,e_3_is_not_e_2]) ).
cnf(c5893,plain,
( product(e_2,e_4,e_3)
| equalish(e_2,e_4) ),
inference(resolution,status(thm),[c5847,c5554]) ).
cnf(c5918,plain,
product(e_2,e_4,e_3),
inference(resolution,status(thm),[c5893,e_2_is_not_e_4]) ).
cnf(qg2_1,negated_conjecture,
( ~ product(X34,X30,X31)
| ~ product(X33,X32,X31)
| ~ product(X35,X34,X30)
| ~ product(X35,X33,X32)
| equalish(X34,X33) ),
input ).
cnf(c18,plain,
( ~ product(X37,X36,X39)
| ~ product(X38,X38,X39)
| ~ product(X38,X37,X36)
| equalish(X37,X38) ),
inference(resolution,status(thm),[qg2_1,product_idempotence]) ).
cnf(e_1_is_not_e_4,axiom,
~ equalish(e_1,e_4),
input ).
cnf(c23,plain,
( product(e_1,e_3,e_2)
| product(e_2,e_3,e_2)
| product(e_3,e_3,e_2)
| product(e_4,e_3,e_2) ),
inference(resolution,status(thm),[c0,element_3]) ).
cnf(c83,plain,
( product(e_1,e_3,e_2)
| product(e_3,e_3,e_2)
| product(e_4,e_3,e_2)
| equalish(e_3,e_2) ),
inference(resolution,status(thm),[c23,c10]) ).
cnf(c122,plain,
( product(e_1,e_3,e_2)
| product(e_3,e_3,e_2)
| product(e_4,e_3,e_2) ),
inference(resolution,status(thm),[c83,e_3_is_not_e_2]) ).
cnf(c137,plain,
( product(e_1,e_3,e_2)
| product(e_4,e_3,e_2)
| equalish(e_2,e_3) ),
inference(resolution,status(thm),[c122,c8]) ).
cnf(c159,plain,
( product(e_1,e_3,e_2)
| product(e_4,e_3,e_2) ),
inference(resolution,status(thm),[c137,e_2_is_not_e_3]) ).
cnf(c164,plain,
( product(e_4,e_3,e_2)
| ~ product(e_1,X68,e_2)
| equalish(X68,e_3) ),
inference(resolution,status(thm),[c159,product_right_cancellation]) ).
cnf(c483,plain,
( product(e_3,e_4,e_2)
| product(e_4,e_3,e_2)
| equalish(e_4,e_3) ),
inference(resolution,status(thm),[c480,c164]) ).
cnf(c627,plain,
( product(e_3,e_4,e_2)
| product(e_4,e_3,e_2) ),
inference(resolution,status(thm),[c483,e_4_is_not_e_3]) ).
cnf(c638,plain,
( product(e_4,e_3,e_2)
| ~ product(e_3,X99,e_2)
| equalish(X99,e_4) ),
inference(resolution,status(thm),[c627,product_right_cancellation]) ).
cnf(e_1_is_not_e_2,axiom,
~ equalish(e_1,e_2),
input ).
cnf(e_2_is_not_e_1,axiom,
~ equalish(e_2,e_1),
input ).
cnf(element_1,axiom,
group_element(e_1),
input ).
cnf(c25,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),[c0,element_1]) ).
cnf(c217,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),[c25,c8]) ).
cnf(c1194,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),[c217,e_2_is_not_e_1]) ).
cnf(c1197,plain,
( product(e_3,e_1,e_2)
| product(e_4,e_1,e_2)
| equalish(e_1,e_2) ),
inference(resolution,status(thm),[c1194,c10]) ).
cnf(c1239,plain,
( product(e_3,e_1,e_2)
| product(e_4,e_1,e_2) ),
inference(resolution,status(thm),[c1197,e_1_is_not_e_2]) ).
cnf(c1280,plain,
( product(e_4,e_1,e_2)
| product(e_4,e_3,e_2)
| equalish(e_1,e_4) ),
inference(resolution,status(thm),[c1239,c638]) ).
cnf(c1360,plain,
( product(e_4,e_1,e_2)
| product(e_4,e_3,e_2) ),
inference(resolution,status(thm),[c1280,e_1_is_not_e_4]) ).
cnf(c5921,plain,
( ~ product(e_4,e_3,X689)
| ~ product(e_2,e_2,X689)
| equalish(e_4,e_2) ),
inference(resolution,status(thm),[c5918,c18]) ).
cnf(c5965,plain,
( ~ product(e_4,e_3,e_2)
| equalish(e_4,e_2) ),
inference(resolution,status(thm),[c5921,product_idempotence]) ).
cnf(c5970,plain,
( equalish(e_4,e_2)
| product(e_4,e_1,e_2) ),
inference(resolution,status(thm),[c5965,c1360]) ).
cnf(c6317,plain,
product(e_4,e_1,e_2),
inference(resolution,status(thm),[c5970,e_4_is_not_e_2]) ).
cnf(c6360,plain,
( ~ product(e_1,e_2,X782)
| ~ product(e_4,e_4,X782)
| equalish(e_2,e_4) ),
inference(resolution,status(thm),[c6317,c20]) ).
cnf(c6865,plain,
( ~ product(e_1,e_2,e_4)
| equalish(e_2,e_4) ),
inference(resolution,status(thm),[c6360,product_idempotence]) ).
cnf(c2,plain,
( ~ group_element(X56)
| product(e_1,X56,e_4)
| product(e_2,X56,e_4)
| product(e_3,X56,e_4)
| product(e_4,X56,e_4) ),
inference(resolution,status(thm),[row_surjectivity,element_4]) ).
cnf(c30,plain,
( product(e_1,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_3,e_2,e_4)
| product(e_4,e_2,e_4) ),
inference(resolution,status(thm),[c2,element_2]) ).
cnf(c364,plain,
( product(e_1,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_3,e_2,e_4)
| equalish(e_2,e_4) ),
inference(resolution,status(thm),[c30,c10]) ).
cnf(c7102,plain,
( product(e_2,e_2,e_4)
| product(e_3,e_2,e_4)
| equalish(e_2,e_4) ),
inference(resolution,status(thm),[c364,c6865]) ).
cnf(c7242,plain,
( product(e_2,e_2,e_4)
| product(e_3,e_2,e_4) ),
inference(resolution,status(thm),[c7102,e_2_is_not_e_4]) ).
cnf(c7244,plain,
( product(e_3,e_2,e_4)
| equalish(e_4,e_2) ),
inference(resolution,status(thm),[c7242,c8]) ).
cnf(c7303,plain,
product(e_3,e_2,e_4),
inference(resolution,status(thm),[c7244,e_4_is_not_e_2]) ).
cnf(c7306,plain,
( ~ product(e_2,e_4,X823)
| ~ product(e_3,e_3,X823)
| equalish(e_2,e_3) ),
inference(resolution,status(thm),[c7303,c18]) ).
cnf(c7338,plain,
( ~ product(e_2,e_4,e_3)
| equalish(e_2,e_3) ),
inference(resolution,status(thm),[c7306,product_idempotence]) ).
cnf(c7342,plain,
equalish(e_2,e_3),
inference(resolution,status(thm),[c7338,c5918]) ).
cnf(c7343,plain,
$false,
inference(resolution,status(thm),[c7342,e_2_is_not_e_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GRP124-4.004 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.11/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 14 07:27:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 6.15/6.34 # Version: 1.3
% 6.15/6.34 # SZS status Unsatisfiable
% 6.15/6.34 # SZS output start CNFRefutation
% See solution above
% 6.15/6.34
% 6.15/6.34 # Initial clauses : 25
% 6.15/6.34 # Processed clauses : 474
% 6.15/6.34 # Factors computed : 0
% 6.15/6.34 # Resolvents computed: 7344
% 6.15/6.34 # Tautologies deleted: 0
% 6.15/6.34 # Forward subsumed : 1408
% 6.15/6.34 # Backward subsumed : 327
% 6.15/6.34 # -------- CPU Time ---------
% 6.15/6.34 # User time : 5.981 s
% 6.15/6.34 # System time : 0.022 s
% 6.15/6.34 # Total time : 6.003 s
%------------------------------------------------------------------------------