TSTP Solution File: GRP124-7.004 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GRP124-7.004 : TPTP v8.1.0. 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 : 600s
% DateTime : Sat Jul 16 11:21:49 EDT 2022
% Result : Unsatisfiable 7.71s 7.89s
% Output : Refutation 7.71s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(e_2_is_not_e_4,axiom,
~ equalish(e_2,e_4),
input ).
cnf(product1_idempotence,axiom,
product1(X2,X2,X2),
input ).
cnf(product1_right_cancellation,axiom,
( ~ product1(X17,X19,X16)
| ~ product1(X17,X18,X16)
| equalish(X19,X18) ),
input ).
cnf(c6,plain,
( ~ product1(X20,X21,X20)
| equalish(X21,X20) ),
inference(resolution,status(thm),[product1_right_cancellation,product1_idempotence]) ).
cnf(e_2_is_not_e_1,axiom,
~ equalish(e_2,e_1),
input ).
cnf(e_3_is_not_e_4,axiom,
~ equalish(e_3,e_4),
input ).
cnf(product1_left_cancellation,axiom,
( ~ product1(X26,X23,X24)
| ~ product1(X25,X23,X24)
| equalish(X26,X25) ),
input ).
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(c8,plain,
( ~ product1(X28,X27,X27)
| equalish(X28,X27) ),
inference(resolution,status(thm),[product1_left_cancellation,product1_idempotence]) ).
cnf(element_4,axiom,
group_element(e_4),
input ).
cnf(element_1,axiom,
group_element(e_1),
input ).
cnf(product1_total_function1,axiom,
( ~ group_element(X12)
| ~ group_element(X11)
| product1(X12,X11,e_1)
| product1(X12,X11,e_2)
| product1(X12,X11,e_3)
| product1(X12,X11,e_4) ),
input ).
cnf(c1,plain,
( ~ group_element(X60)
| product1(X60,e_1,e_1)
| product1(X60,e_1,e_2)
| product1(X60,e_1,e_3)
| product1(X60,e_1,e_4) ),
inference(resolution,status(thm),[product1_total_function1,element_1]) ).
cnf(c25,plain,
( product1(e_4,e_1,e_1)
| product1(e_4,e_1,e_2)
| product1(e_4,e_1,e_3)
| product1(e_4,e_1,e_4) ),
inference(resolution,status(thm),[c1,element_4]) ).
cnf(c145,plain,
( product1(e_4,e_1,e_2)
| product1(e_4,e_1,e_3)
| product1(e_4,e_1,e_4)
| equalish(e_4,e_1) ),
inference(resolution,status(thm),[c25,c8]) ).
cnf(c642,plain,
( product1(e_4,e_1,e_2)
| product1(e_4,e_1,e_3)
| product1(e_4,e_1,e_4) ),
inference(resolution,status(thm),[c145,e_4_is_not_e_1]) ).
cnf(c657,plain,
( product1(e_4,e_1,e_2)
| product1(e_4,e_1,e_3)
| equalish(e_1,e_4) ),
inference(resolution,status(thm),[c642,c6]) ).
cnf(c675,plain,
( product1(e_4,e_1,e_2)
| product1(e_4,e_1,e_3) ),
inference(resolution,status(thm),[c657,e_1_is_not_e_4]) ).
cnf(c677,plain,
( product1(e_4,e_1,e_3)
| ~ product1(X137,e_1,e_2)
| equalish(X137,e_4) ),
inference(resolution,status(thm),[c675,product1_left_cancellation]) ).
cnf(product2_idempotence,axiom,
product2(X3,X3,X3),
input ).
cnf(product2_total_function2,axiom,
( ~ product2(X31,X30,X33)
| ~ product2(X31,X30,X32)
| equalish(X33,X32) ),
input ).
cnf(c10,plain,
( ~ product2(X35,X35,X34)
| equalish(X34,X35) ),
inference(resolution,status(thm),[product2_total_function2,product2_idempotence]) ).
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(element_2,axiom,
group_element(e_2),
input ).
cnf(c23,plain,
( product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_4) ),
inference(resolution,status(thm),[c1,element_2]) ).
cnf(c56,plain,
( product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_4)
| equalish(e_2,e_1) ),
inference(resolution,status(thm),[c23,c8]) ).
cnf(c87,plain,
( product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_4) ),
inference(resolution,status(thm),[c56,e_2_is_not_e_1]) ).
cnf(c90,plain,
( product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_4)
| equalish(e_1,e_2) ),
inference(resolution,status(thm),[c87,c6]) ).
cnf(c110,plain,
( product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_4) ),
inference(resolution,status(thm),[c90,e_1_is_not_e_2]) ).
cnf(c117,plain,
( product1(e_2,e_1,e_3)
| ~ product1(X72,e_1,e_4)
| equalish(X72,e_2) ),
inference(resolution,status(thm),[c110,product1_left_cancellation]) ).
cnf(e_1_is_not_e_3,axiom,
~ equalish(e_1,e_3),
input ).
cnf(e_3_is_not_e_1,axiom,
~ equalish(e_3,e_1),
input ).
cnf(element_3,axiom,
group_element(e_3),
input ).
cnf(c24,plain,
( product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_4) ),
inference(resolution,status(thm),[c1,element_3]) ).
cnf(c121,plain,
( product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_4)
| equalish(e_3,e_1) ),
inference(resolution,status(thm),[c24,c8]) ).
cnf(c286,plain,
( product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_4) ),
inference(resolution,status(thm),[c121,e_3_is_not_e_1]) ).
cnf(c293,plain,
( product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_4)
| equalish(e_1,e_3) ),
inference(resolution,status(thm),[c286,c6]) ).
cnf(c312,plain,
( product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_4) ),
inference(resolution,status(thm),[c293,e_1_is_not_e_3]) ).
cnf(c321,plain,
( product1(e_3,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(e_3,e_2) ),
inference(resolution,status(thm),[c312,c117]) ).
cnf(c418,plain,
( product1(e_3,e_1,e_2)
| product1(e_2,e_1,e_3) ),
inference(resolution,status(thm),[c321,e_3_is_not_e_2]) ).
cnf(qg2a,negated_conjecture,
( ~ product1(X54,X52,X53)
| ~ product1(X53,X54,X55)
| product2(X55,X52,X54) ),
input ).
cnf(e_2_is_not_e_3,axiom,
~ equalish(e_2,e_3),
input ).
cnf(c2,plain,
( ~ group_element(X61)
| product1(X61,e_2,e_1)
| product1(X61,e_2,e_2)
| product1(X61,e_2,e_3)
| product1(X61,e_2,e_4) ),
inference(resolution,status(thm),[product1_total_function1,element_2]) ).
cnf(c28,plain,
( product1(e_3,e_2,e_1)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4) ),
inference(resolution,status(thm),[c2,element_3]) ).
cnf(c196,plain,
( product1(e_3,e_2,e_1)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| equalish(e_3,e_2) ),
inference(resolution,status(thm),[c28,c8]) ).
cnf(c1989,plain,
( product1(e_3,e_2,e_1)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4) ),
inference(resolution,status(thm),[c196,e_3_is_not_e_2]) ).
cnf(c7154,plain,
( product1(e_3,e_2,e_1)
| product1(e_3,e_2,e_4)
| equalish(e_2,e_3) ),
inference(resolution,status(thm),[c1989,c6]) ).
cnf(c7224,plain,
( product1(e_3,e_2,e_1)
| product1(e_3,e_2,e_4) ),
inference(resolution,status(thm),[c7154,e_2_is_not_e_3]) ).
cnf(c7242,plain,
( product1(e_3,e_2,e_1)
| ~ product1(X575,e_2,e_4)
| equalish(X575,e_3) ),
inference(resolution,status(thm),[c7224,product1_left_cancellation]) ).
cnf(product1_total_function2,axiom,
( ~ product1(X8,X7,X10)
| ~ product1(X8,X7,X9)
| equalish(X10,X9) ),
input ).
cnf(e_4_is_not_e_3,axiom,
~ equalish(e_4,e_3),
input ).
cnf(c315,plain,
( product1(e_3,e_1,e_4)
| ~ product1(X97,e_1,e_2)
| equalish(X97,e_3) ),
inference(resolution,status(thm),[c312,product1_left_cancellation]) ).
cnf(c681,plain,
( product1(e_4,e_1,e_3)
| product1(e_3,e_1,e_4)
| equalish(e_4,e_3) ),
inference(resolution,status(thm),[c675,c315]) ).
cnf(c830,plain,
( product1(e_4,e_1,e_3)
| product1(e_3,e_1,e_4) ),
inference(resolution,status(thm),[c681,e_4_is_not_e_3]) ).
cnf(c834,plain,
( product1(e_3,e_1,e_4)
| ~ product1(e_4,e_1,X155)
| equalish(X155,e_3) ),
inference(resolution,status(thm),[c830,product1_total_function2]) ).
cnf(e_4_is_not_e_2,axiom,
~ equalish(e_4,e_2),
input ).
cnf(c427,plain,
( product1(e_3,e_1,e_2)
| ~ product1(X107,e_1,e_3)
| equalish(X107,e_2) ),
inference(resolution,status(thm),[c418,product1_left_cancellation]) ).
cnf(c683,plain,
( product1(e_4,e_1,e_2)
| product1(e_3,e_1,e_2)
| equalish(e_4,e_2) ),
inference(resolution,status(thm),[c675,c427]) ).
cnf(c906,plain,
( product1(e_4,e_1,e_2)
| product1(e_3,e_1,e_2) ),
inference(resolution,status(thm),[c683,e_4_is_not_e_2]) ).
cnf(c923,plain,
( product1(e_4,e_1,e_2)
| ~ product1(e_1,X210,e_3)
| product2(e_2,X210,e_1) ),
inference(resolution,status(thm),[c906,qg2a]) ).
cnf(c26,plain,
( product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_4) ),
inference(resolution,status(thm),[c2,element_1]) ).
cnf(c170,plain,
( product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_4)
| equalish(e_2,e_1) ),
inference(resolution,status(thm),[c26,c6]) ).
cnf(c1216,plain,
( product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_4) ),
inference(resolution,status(thm),[c170,e_2_is_not_e_1]) ).
cnf(c1217,plain,
( product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_4)
| equalish(e_1,e_2) ),
inference(resolution,status(thm),[c1216,c8]) ).
cnf(c1268,plain,
( product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_4) ),
inference(resolution,status(thm),[c1217,e_1_is_not_e_2]) ).
cnf(c1271,plain,
( product1(e_1,e_2,e_4)
| product1(e_4,e_1,e_2)
| product2(e_2,e_2,e_1) ),
inference(resolution,status(thm),[c1268,c923]) ).
cnf(c1379,plain,
( product1(e_1,e_2,e_4)
| product1(e_4,e_1,e_2)
| equalish(e_1,e_2) ),
inference(resolution,status(thm),[c1271,c10]) ).
cnf(c1415,plain,
( product1(e_1,e_2,e_4)
| product1(e_4,e_1,e_2) ),
inference(resolution,status(thm),[c1379,e_1_is_not_e_2]) ).
cnf(c1440,plain,
( product1(e_1,e_2,e_4)
| product1(e_3,e_1,e_4)
| equalish(e_2,e_3) ),
inference(resolution,status(thm),[c1415,c834]) ).
cnf(c1776,plain,
( product1(e_1,e_2,e_4)
| product1(e_3,e_1,e_4) ),
inference(resolution,status(thm),[c1440,e_2_is_not_e_3]) ).
cnf(c1814,plain,
( product1(e_1,e_2,e_4)
| ~ product1(e_3,X352,e_4)
| equalish(X352,e_1) ),
inference(resolution,status(thm),[c1776,product1_right_cancellation]) ).
cnf(c7243,plain,
( product1(e_3,e_2,e_1)
| product1(e_1,e_2,e_4)
| equalish(e_2,e_1) ),
inference(resolution,status(thm),[c7224,c1814]) ).
cnf(c7760,plain,
( product1(e_3,e_2,e_1)
| product1(e_1,e_2,e_4) ),
inference(resolution,status(thm),[c7243,e_2_is_not_e_1]) ).
cnf(c7807,plain,
( product1(e_3,e_2,e_1)
| equalish(e_1,e_3) ),
inference(resolution,status(thm),[c7760,c7242]) ).
cnf(c7833,plain,
product1(e_3,e_2,e_1),
inference(resolution,status(thm),[c7807,e_1_is_not_e_3]) ).
cnf(c7842,plain,
( ~ product1(e_2,X591,e_3)
| product2(e_1,X591,e_2) ),
inference(resolution,status(thm),[c7833,qg2a]) ).
cnf(c7884,plain,
( product2(e_1,e_1,e_2)
| product1(e_3,e_1,e_2) ),
inference(resolution,status(thm),[c7842,c418]) ).
cnf(c7910,plain,
( product1(e_3,e_1,e_2)
| equalish(e_2,e_1) ),
inference(resolution,status(thm),[c7884,c10]) ).
cnf(c7992,plain,
product1(e_3,e_1,e_2),
inference(resolution,status(thm),[c7910,e_2_is_not_e_1]) ).
cnf(c7996,plain,
( product1(e_4,e_1,e_3)
| equalish(e_3,e_4) ),
inference(resolution,status(thm),[c7992,c677]) ).
cnf(c8149,plain,
product1(e_4,e_1,e_3),
inference(resolution,status(thm),[c7996,e_3_is_not_e_4]) ).
cnf(c8178,plain,
( ~ product1(e_4,X606,e_3)
| equalish(X606,e_1) ),
inference(resolution,status(thm),[c8149,product1_right_cancellation]) ).
cnf(c7839,plain,
( ~ product1(X588,e_2,e_1)
| equalish(X588,e_3) ),
inference(resolution,status(thm),[c7833,product1_left_cancellation]) ).
cnf(c29,plain,
( product1(e_4,e_2,e_1)
| product1(e_4,e_2,e_2)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4) ),
inference(resolution,status(thm),[c2,element_4]) ).
cnf(c215,plain,
( product1(e_4,e_2,e_1)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4)
| equalish(e_4,e_2) ),
inference(resolution,status(thm),[c29,c8]) ).
cnf(c2316,plain,
( product1(e_4,e_2,e_1)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4) ),
inference(resolution,status(thm),[c215,e_4_is_not_e_2]) ).
cnf(c9113,plain,
( product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4)
| equalish(e_4,e_3) ),
inference(resolution,status(thm),[c2316,c7839]) ).
cnf(c9170,plain,
( product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4) ),
inference(resolution,status(thm),[c9113,e_4_is_not_e_3]) ).
cnf(c9184,plain,
( product1(e_4,e_2,e_4)
| equalish(e_2,e_1) ),
inference(resolution,status(thm),[c9170,c8178]) ).
cnf(c9215,plain,
product1(e_4,e_2,e_4),
inference(resolution,status(thm),[c9184,e_2_is_not_e_1]) ).
cnf(c9222,plain,
equalish(e_2,e_4),
inference(resolution,status(thm),[c9215,c6]) ).
cnf(c9227,plain,
$false,
inference(resolution,status(thm),[c9222,e_2_is_not_e_4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP124-7.004 : TPTP v8.1.0. Released v1.2.0.
% 0.04/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n005.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 : Mon Jun 13 22:39:24 EDT 2022
% 0.12/0.33 % CPUTime :
% 7.71/7.89 # Version: 1.3
% 7.71/7.89 # SZS status Unsatisfiable
% 7.71/7.89 # SZS output start CNFRefutation
% See solution above
% 7.71/7.89
% 7.71/7.89 # Initial clauses : 37
% 7.71/7.89 # Processed clauses : 638
% 7.71/7.89 # Factors computed : 0
% 7.71/7.89 # Resolvents computed: 9228
% 7.71/7.89 # Tautologies deleted: 0
% 7.71/7.89 # Forward subsumed : 1921
% 7.71/7.89 # Backward subsumed : 331
% 7.71/7.89 # -------- CPU Time ---------
% 7.71/7.89 # User time : 7.509 s
% 7.71/7.89 # System time : 0.039 s
% 7.71/7.89 # Total time : 7.548 s
%------------------------------------------------------------------------------