TSTP Solution File: GRP124-9.004 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GRP124-9.004 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 11:21:50 EDT 2022
% Result : Unsatisfiable 7.74s 7.93s
% Output : Refutation 7.74s
% 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(X19,X20,X17)
| ~ product1(X19,X18,X17)
| equalish(X20,X18) ),
input ).
cnf(c14,plain,
( ~ product1(X22,X21,X22)
| equalish(X21,X22) ),
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_4_is_not_e_3,axiom,
~ equalish(e_4,e_3),
input ).
cnf(product1_total_function2,axiom,
( ~ product1(X10,X8,X11)
| ~ product1(X10,X8,X9)
| equalish(X11,X9) ),
input ).
cnf(e_1_is_not_e_2,axiom,
~ equalish(e_1,e_2),
input ).
cnf(product2_idempotence,axiom,
product2(X5,X5,X5),
input ).
cnf(product2_total_function2,axiom,
( ~ product2(X35,X33,X36)
| ~ product2(X35,X33,X34)
| equalish(X36,X34) ),
input ).
cnf(c22,plain,
( ~ product2(X38,X38,X37)
| equalish(X37,X38) ),
inference(resolution,status(thm),[product2_total_function2,product2_idempotence]) ).
cnf(qg2a,negated_conjecture,
( ~ product1(X56,X54,X55)
| ~ product1(X55,X56,X57)
| product2(X57,X54,X56) ),
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(product1_left_cancellation,axiom,
( ~ product1(X27,X24,X26)
| ~ product1(X25,X24,X26)
| equalish(X27,X25) ),
input ).
cnf(c16,plain,
( ~ product1(X28,X29,X29)
| equalish(X28,X29) ),
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(X16)
| ~ group_element(X15)
| product1(X16,X15,e_1)
| product1(X16,X15,e_2)
| product1(X16,X15,e_3)
| product1(X16,X15,e_4) ),
input ).
cnf(c10,plain,
( ~ group_element(X69)
| product1(X69,e_1,e_1)
| product1(X69,e_1,e_2)
| product1(X69,e_1,e_3)
| product1(X69,e_1,e_4) ),
inference(resolution,status(thm),[product1_total_function1,element_1]) ).
cnf(c65,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),[c10,element_4]) ).
cnf(c181,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),[c65,c16]) ).
cnf(c682,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),[c181,e_4_is_not_e_1]) ).
cnf(c696,plain,
( product1(e_4,e_1,e_2)
| product1(e_4,e_1,e_3)
| equalish(e_1,e_4) ),
inference(resolution,status(thm),[c682,c14]) ).
cnf(c715,plain,
( product1(e_4,e_1,e_2)
| product1(e_4,e_1,e_3) ),
inference(resolution,status(thm),[c696,e_1_is_not_e_4]) ).
cnf(c735,plain,
( product1(e_4,e_1,e_3)
| ~ product1(e_1,X169,e_4)
| product2(e_2,X169,e_1) ),
inference(resolution,status(thm),[c715,qg2a]) ).
cnf(element_2,axiom,
group_element(e_2),
input ).
cnf(c11,plain,
( ~ group_element(X70)
| product1(X70,e_2,e_1)
| product1(X70,e_2,e_2)
| product1(X70,e_2,e_3)
| product1(X70,e_2,e_4) ),
inference(resolution,status(thm),[product1_total_function1,element_2]) ).
cnf(c66,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),[c11,element_1]) ).
cnf(c204,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),[c66,c14]) ).
cnf(c1247,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),[c204,e_2_is_not_e_1]) ).
cnf(c1255,plain,
( product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_4)
| equalish(e_1,e_2) ),
inference(resolution,status(thm),[c1247,c16]) ).
cnf(c1299,plain,
( product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_4) ),
inference(resolution,status(thm),[c1255,e_1_is_not_e_2]) ).
cnf(c1311,plain,
( product1(e_1,e_2,e_3)
| product1(e_4,e_1,e_3)
| product2(e_2,e_2,e_1) ),
inference(resolution,status(thm),[c1299,c735]) ).
cnf(c3113,plain,
( product1(e_1,e_2,e_3)
| product1(e_4,e_1,e_3)
| equalish(e_1,e_2) ),
inference(resolution,status(thm),[c1311,c22]) ).
cnf(c3209,plain,
( product1(e_1,e_2,e_3)
| product1(e_4,e_1,e_3) ),
inference(resolution,status(thm),[c3113,e_1_is_not_e_2]) ).
cnf(c3217,plain,
( product1(e_4,e_1,e_3)
| ~ product1(e_1,e_2,X432)
| equalish(X432,e_3) ),
inference(resolution,status(thm),[c3209,product1_total_function2]) ).
cnf(e_3_is_not_e_2,axiom,
~ equalish(e_3,e_2),
input ).
cnf(c63,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),[c10,element_2]) ).
cnf(c94,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),[c63,c16]) ).
cnf(c127,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),[c94,e_2_is_not_e_1]) ).
cnf(c128,plain,
( product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_4)
| equalish(e_1,e_2) ),
inference(resolution,status(thm),[c127,c14]) ).
cnf(c169,plain,
( product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_4) ),
inference(resolution,status(thm),[c128,e_1_is_not_e_2]) ).
cnf(c176,plain,
( product1(e_2,e_1,e_3)
| ~ product1(X81,e_1,e_4)
| equalish(X81,e_2) ),
inference(resolution,status(thm),[c169,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(c64,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),[c10,element_3]) ).
cnf(c142,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),[c64,c16]) ).
cnf(c326,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),[c142,e_3_is_not_e_1]) ).
cnf(c331,plain,
( product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_4)
| equalish(e_1,e_3) ),
inference(resolution,status(thm),[c326,c14]) ).
cnf(c352,plain,
( product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_4) ),
inference(resolution,status(thm),[c331,e_1_is_not_e_3]) ).
cnf(c377,plain,
( product1(e_3,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(e_3,e_2) ),
inference(resolution,status(thm),[c352,c176]) ).
cnf(c455,plain,
( product1(e_3,e_1,e_2)
| product1(e_2,e_1,e_3) ),
inference(resolution,status(thm),[c377,e_3_is_not_e_2]) ).
cnf(c481,plain,
( product1(e_2,e_1,e_3)
| ~ product1(X113,e_1,e_2)
| equalish(X113,e_3) ),
inference(resolution,status(thm),[c455,product1_left_cancellation]) ).
cnf(e_4_is_not_e_2,axiom,
~ equalish(e_4,e_2),
input ).
cnf(c488,plain,
( product1(e_3,e_1,e_2)
| ~ product1(X116,e_1,e_3)
| equalish(X116,e_2) ),
inference(resolution,status(thm),[c455,product1_left_cancellation]) ).
cnf(c740,plain,
( product1(e_4,e_1,e_2)
| product1(e_3,e_1,e_2)
| equalish(e_4,e_2) ),
inference(resolution,status(thm),[c715,c488]) ).
cnf(c1025,plain,
( product1(e_4,e_1,e_2)
| product1(e_3,e_1,e_2) ),
inference(resolution,status(thm),[c740,e_4_is_not_e_2]) ).
cnf(c1054,plain,
( product1(e_4,e_1,e_2)
| ~ product1(e_1,X229,e_3)
| product2(e_2,X229,e_1) ),
inference(resolution,status(thm),[c1025,qg2a]) ).
cnf(c1305,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),[c1299,c1054]) ).
cnf(c1482,plain,
( product1(e_1,e_2,e_4)
| product1(e_4,e_1,e_2)
| equalish(e_1,e_2) ),
inference(resolution,status(thm),[c1305,c22]) ).
cnf(c1518,plain,
( product1(e_1,e_2,e_4)
| product1(e_4,e_1,e_2) ),
inference(resolution,status(thm),[c1482,e_1_is_not_e_2]) ).
cnf(c1538,plain,
( product1(e_1,e_2,e_4)
| product1(e_2,e_1,e_3)
| equalish(e_4,e_3) ),
inference(resolution,status(thm),[c1518,c481]) ).
cnf(c1698,plain,
( product1(e_1,e_2,e_4)
| product1(e_2,e_1,e_3) ),
inference(resolution,status(thm),[c1538,e_4_is_not_e_3]) ).
cnf(e_2_is_not_e_3,axiom,
~ equalish(e_2,e_3),
input ).
cnf(c68,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),[c11,element_3]) ).
cnf(c234,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),[c68,c16]) ).
cnf(c2120,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),[c234,e_3_is_not_e_2]) ).
cnf(c7165,plain,
( product1(e_3,e_2,e_1)
| product1(e_3,e_2,e_4)
| equalish(e_2,e_3) ),
inference(resolution,status(thm),[c2120,c14]) ).
cnf(c7240,plain,
( product1(e_3,e_2,e_1)
| product1(e_3,e_2,e_4) ),
inference(resolution,status(thm),[c7165,e_2_is_not_e_3]) ).
cnf(c7352,plain,
( product1(e_3,e_2,e_1)
| ~ product1(e_3,X581,e_4)
| equalish(X581,e_2) ),
inference(resolution,status(thm),[c7240,product1_right_cancellation]) ).
cnf(c374,plain,
( product1(e_3,e_1,e_4)
| ~ product1(X106,e_1,e_2)
| equalish(X106,e_3) ),
inference(resolution,status(thm),[c352,product1_left_cancellation]) ).
cnf(c1549,plain,
( product1(e_1,e_2,e_4)
| product1(e_3,e_1,e_4)
| equalish(e_4,e_3) ),
inference(resolution,status(thm),[c1518,c374]) ).
cnf(c1900,plain,
( product1(e_1,e_2,e_4)
| product1(e_3,e_1,e_4) ),
inference(resolution,status(thm),[c1549,e_4_is_not_e_3]) ).
cnf(c1903,plain,
( product1(e_3,e_1,e_4)
| ~ product1(X352,e_2,e_4)
| equalish(X352,e_1) ),
inference(resolution,status(thm),[c1900,product1_left_cancellation]) ).
cnf(c7355,plain,
( product1(e_3,e_2,e_1)
| product1(e_3,e_1,e_4)
| equalish(e_3,e_1) ),
inference(resolution,status(thm),[c7240,c1903]) ).
cnf(c7895,plain,
( product1(e_3,e_2,e_1)
| product1(e_3,e_1,e_4) ),
inference(resolution,status(thm),[c7355,e_3_is_not_e_1]) ).
cnf(c7925,plain,
( product1(e_3,e_2,e_1)
| equalish(e_1,e_2) ),
inference(resolution,status(thm),[c7895,c7352]) ).
cnf(c7972,plain,
product1(e_3,e_2,e_1),
inference(resolution,status(thm),[c7925,e_1_is_not_e_2]) ).
cnf(c7987,plain,
( ~ product1(e_2,X597,e_3)
| product2(e_1,X597,e_2) ),
inference(resolution,status(thm),[c7972,qg2a]) ).
cnf(c8019,plain,
( product2(e_1,e_1,e_2)
| product1(e_1,e_2,e_4) ),
inference(resolution,status(thm),[c7987,c1698]) ).
cnf(c8039,plain,
( product1(e_1,e_2,e_4)
| equalish(e_2,e_1) ),
inference(resolution,status(thm),[c8019,c22]) ).
cnf(c8116,plain,
product1(e_1,e_2,e_4),
inference(resolution,status(thm),[c8039,e_2_is_not_e_1]) ).
cnf(c8130,plain,
( product1(e_4,e_1,e_3)
| equalish(e_4,e_3) ),
inference(resolution,status(thm),[c8116,c3217]) ).
cnf(c8338,plain,
product1(e_4,e_1,e_3),
inference(resolution,status(thm),[c8130,e_4_is_not_e_3]) ).
cnf(c8339,plain,
( ~ product1(e_4,X608,e_3)
| equalish(X608,e_1) ),
inference(resolution,status(thm),[c8338,product1_right_cancellation]) ).
cnf(c7976,plain,
( ~ product1(X593,e_2,e_1)
| equalish(X593,e_3) ),
inference(resolution,status(thm),[c7972,product1_left_cancellation]) ).
cnf(c69,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),[c11,element_4]) ).
cnf(c253,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),[c69,c16]) ).
cnf(c2443,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),[c253,e_4_is_not_e_2]) ).
cnf(c9216,plain,
( product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4)
| equalish(e_4,e_3) ),
inference(resolution,status(thm),[c2443,c7976]) ).
cnf(c9276,plain,
( product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4) ),
inference(resolution,status(thm),[c9216,e_4_is_not_e_3]) ).
cnf(c9289,plain,
( product1(e_4,e_2,e_4)
| equalish(e_2,e_1) ),
inference(resolution,status(thm),[c9276,c8339]) ).
cnf(c9315,plain,
product1(e_4,e_2,e_4),
inference(resolution,status(thm),[c9289,e_2_is_not_e_1]) ).
cnf(c9326,plain,
equalish(e_2,e_4),
inference(resolution,status(thm),[c9315,c14]) ).
cnf(c9332,plain,
$false,
inference(resolution,status(thm),[c9326,e_2_is_not_e_4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP124-9.004 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.04/0.13 % 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 11:36:39 EDT 2022
% 0.12/0.34 % CPUTime :
% 7.74/7.93 # Version: 1.3
% 7.74/7.93 # SZS status Unsatisfiable
% 7.74/7.93 # SZS output start CNFRefutation
% See solution above
% 7.74/7.93
% 7.74/7.93 # Initial clauses : 29
% 7.74/7.93 # Processed clauses : 668
% 7.74/7.93 # Factors computed : 0
% 7.74/7.93 # Resolvents computed: 9333
% 7.74/7.93 # Tautologies deleted: 0
% 7.74/7.93 # Forward subsumed : 1908
% 7.74/7.93 # Backward subsumed : 331
% 7.74/7.93 # -------- CPU Time ---------
% 7.74/7.93 # User time : 7.547 s
% 7.74/7.93 # System time : 0.042 s
% 7.74/7.93 # Total time : 7.589 s
%------------------------------------------------------------------------------