TSTP Solution File: GRP130-1.003 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GRP130-1.003 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n011.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 11:22:03 EDT 2022
% Result : Unsatisfiable 29.03s 29.23s
% Output : Refutation 29.03s
% 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_total_function2,axiom,
( ~ product(X4,X5,X2)
| ~ product(X4,X5,X3)
| equalish(X2,X3) ),
input ).
cnf(product_left_cancellation,axiom,
( ~ product(X12,X15,X14)
| ~ product(X13,X15,X14)
| equalish(X12,X13) ),
input ).
cnf(e_3_is_not_e_2,axiom,
~ equalish(e_3,e_2),
input ).
cnf(element_1,axiom,
group_element(e_1),
input ).
cnf(element_2,axiom,
group_element(e_2),
input ).
cnf(product_total_function1,axiom,
( ~ group_element(X10)
| ~ group_element(X11)
| product(X10,X11,e_1)
| product(X10,X11,e_2)
| product(X10,X11,e_3) ),
input ).
cnf(c0,plain,
( ~ group_element(X20)
| product(X20,e_2,e_1)
| product(X20,e_2,e_2)
| product(X20,e_2,e_3) ),
inference(resolution,status(thm),[product_total_function1,element_2]) ).
cnf(c5,plain,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(resolution,status(thm),[c0,element_1]) ).
cnf(qg3,negated_conjecture,
( ~ product(X18,X19,X16)
| ~ product(X18,X16,X17)
| product(X17,X19,X18) ),
input ).
cnf(c42,plain,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_3)
| ~ product(e_1,X98,e_2)
| product(e_2,X98,e_1) ),
inference(resolution,status(thm),[c5,qg3]) ).
cnf(c661,plain,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_3)
| product(e_2,e_2,e_1) ),
inference(resolution,status(thm),[c42,c5]) ).
cnf(c690,plain,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_3)
| ~ product(X249,e_2,e_1)
| equalish(X249,e_2) ),
inference(resolution,status(thm),[c661,product_left_cancellation]) ).
cnf(e_2_is_not_e_3,axiom,
~ equalish(e_2,e_3),
input ).
cnf(element_3,axiom,
group_element(e_3),
input ).
cnf(c4,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3) ),
inference(resolution,status(thm),[c0,element_3]) ).
cnf(c30,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_3)
| ~ product(e_3,X71,e_2)
| product(e_2,X71,e_3) ),
inference(resolution,status(thm),[c4,qg3]) ).
cnf(c414,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_3)
| product(e_2,e_2,e_3) ),
inference(resolution,status(thm),[c30,c4]) ).
cnf(c447,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_3)
| ~ product(e_2,e_2,X235)
| equalish(X235,e_3) ),
inference(resolution,status(thm),[c414,product_total_function2]) ).
cnf(e_1_is_not_e_3,axiom,
~ equalish(e_1,e_3),
input ).
cnf(c3,plain,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3) ),
inference(resolution,status(thm),[c0,element_2]) ).
cnf(c15,plain,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| ~ product(X32,e_2,e_1)
| equalish(X32,e_2) ),
inference(resolution,status(thm),[c3,product_left_cancellation]) ).
cnf(c426,plain,
( product(e_3,e_2,e_3)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| equalish(e_3,e_2) ),
inference(resolution,status(thm),[c414,c15]) ).
cnf(c2534,plain,
( product(e_3,e_2,e_3)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2) ),
inference(resolution,status(thm),[c426,e_3_is_not_e_2]) ).
cnf(c2558,plain,
( product(e_3,e_2,e_3)
| product(e_2,e_2,e_2)
| ~ product(e_2,e_2,X297)
| equalish(X297,e_3) ),
inference(resolution,status(thm),[c2534,product_total_function2]) ).
cnf(e_1_is_not_e_2,axiom,
~ equalish(e_1,e_2),
input ).
cnf(c23,plain,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| ~ product(X55,e_2,e_3)
| equalish(X55,e_2) ),
inference(resolution,status(thm),[c3,product_left_cancellation]) ).
cnf(c682,plain,
( product(e_1,e_2,e_1)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| equalish(e_1,e_2) ),
inference(resolution,status(thm),[c661,c23]) ).
cnf(c3279,plain,
( product(e_1,e_2,e_1)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2) ),
inference(resolution,status(thm),[c682,e_1_is_not_e_2]) ).
cnf(c3311,plain,
( product(e_1,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_3,e_2,e_3)
| equalish(e_1,e_3) ),
inference(resolution,status(thm),[c3279,c2558]) ).
cnf(c6105,plain,
( product(e_1,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_3,e_2,e_3) ),
inference(resolution,status(thm),[c3311,e_1_is_not_e_3]) ).
cnf(c6147,plain,
( product(e_1,e_2,e_1)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_1)
| equalish(e_2,e_3) ),
inference(resolution,status(thm),[c6105,c447]) ).
cnf(c10485,plain,
( product(e_1,e_2,e_1)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_1) ),
inference(resolution,status(thm),[c6147,e_2_is_not_e_3]) ).
cnf(c10532,plain,
( product(e_1,e_2,e_1)
| product(e_3,e_2,e_1)
| ~ product(e_3,e_2,X423)
| equalish(X423,e_3) ),
inference(resolution,status(thm),[c10485,product_total_function2]) ).
cnf(product_right_cancellation,axiom,
( ~ product(X8,X6,X9)
| ~ product(X8,X7,X9)
| equalish(X6,X7) ),
input ).
cnf(c32,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| ~ product(e_3,X76,e_3)
| equalish(X76,e_2) ),
inference(resolution,status(thm),[c4,product_right_cancellation]) ).
cnf(c1,plain,
( ~ group_element(X21)
| product(X21,e_3,e_1)
| product(X21,e_3,e_2)
| product(X21,e_3,e_3) ),
inference(resolution,status(thm),[product_total_function1,element_3]) ).
cnf(c7,plain,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3) ),
inference(resolution,status(thm),[c1,element_3]) ).
cnf(c34,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| ~ product(e_3,X80,e_2)
| product(e_3,X80,e_3) ),
inference(resolution,status(thm),[c4,qg3]) ).
cnf(c566,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_1) ),
inference(resolution,status(thm),[c34,c7]) ).
cnf(c7220,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_3,e_1)
| equalish(e_3,e_2) ),
inference(resolution,status(thm),[c566,c32]) ).
cnf(c17112,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_3,e_1) ),
inference(resolution,status(thm),[c7220,e_3_is_not_e_2]) ).
cnf(c17205,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| ~ product(e_3,X503,e_1)
| equalish(X503,e_3) ),
inference(resolution,status(thm),[c17112,product_right_cancellation]) ).
cnf(c2,plain,
( ~ group_element(X22)
| product(X22,e_1,e_1)
| product(X22,e_1,e_2)
| product(X22,e_1,e_3) ),
inference(resolution,status(thm),[product_total_function1,element_1]) ).
cnf(c10,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(resolution,status(thm),[c2,element_3]) ).
cnf(c567,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_1) ),
inference(resolution,status(thm),[c34,c10]) ).
cnf(c7361,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_1,e_1)
| equalish(e_1,e_2) ),
inference(resolution,status(thm),[c567,c32]) ).
cnf(c19811,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_1,e_1) ),
inference(resolution,status(thm),[c7361,e_1_is_not_e_2]) ).
cnf(c20089,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| equalish(e_1,e_3) ),
inference(resolution,status(thm),[c19811,c17205]) ).
cnf(c20220,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2) ),
inference(resolution,status(thm),[c20089,e_1_is_not_e_3]) ).
cnf(c20276,plain,
( product(e_3,e_2,e_1)
| product(e_1,e_2,e_1)
| equalish(e_2,e_3) ),
inference(resolution,status(thm),[c20220,c10532]) ).
cnf(c21980,plain,
( product(e_3,e_2,e_1)
| product(e_1,e_2,e_1) ),
inference(resolution,status(thm),[c20276,e_2_is_not_e_3]) ).
cnf(c22005,plain,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_3)
| equalish(e_3,e_2) ),
inference(resolution,status(thm),[c21980,c690]) ).
cnf(c25583,plain,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_3) ),
inference(resolution,status(thm),[c22005,e_3_is_not_e_2]) ).
cnf(c25634,plain,
( product(e_1,e_2,e_1)
| ~ product(X569,e_2,e_3)
| equalish(X569,e_1) ),
inference(resolution,status(thm),[c25583,product_left_cancellation]) ).
cnf(e_3_is_not_e_1,axiom,
~ equalish(e_3,e_1),
input ).
cnf(c20290,plain,
( product(e_3,e_2,e_1)
| ~ product(e_3,X543,e_2)
| product(e_2,X543,e_3) ),
inference(resolution,status(thm),[c20220,qg3]) ).
cnf(c22713,plain,
( product(e_3,e_2,e_1)
| product(e_2,e_2,e_3) ),
inference(resolution,status(thm),[c20290,c20220]) ).
cnf(c22724,plain,
( product(e_2,e_2,e_3)
| ~ product(e_3,X572,e_2)
| product(e_1,X572,e_3) ),
inference(resolution,status(thm),[c22713,qg3]) ).
cnf(c20227,plain,
( product(e_3,e_2,e_2)
| ~ product(X525,e_2,e_1)
| equalish(X525,e_3) ),
inference(resolution,status(thm),[c20220,product_left_cancellation]) ).
cnf(c25608,plain,
( product(e_1,e_2,e_3)
| product(e_3,e_2,e_2)
| equalish(e_1,e_3) ),
inference(resolution,status(thm),[c25583,c20227]) ).
cnf(c29591,plain,
( product(e_1,e_2,e_3)
| product(e_3,e_2,e_2) ),
inference(resolution,status(thm),[c25608,e_1_is_not_e_3]) ).
cnf(c29642,plain,
( product(e_1,e_2,e_3)
| product(e_2,e_2,e_3) ),
inference(resolution,status(thm),[c29591,c22724]) ).
cnf(c29649,plain,
( product(e_2,e_2,e_3)
| ~ product(X592,e_2,e_3)
| equalish(X592,e_1) ),
inference(resolution,status(thm),[c29642,product_left_cancellation]) ).
cnf(c102,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_3)
| ~ product(e_3,X201,e_1)
| product(e_2,X201,e_3) ),
inference(resolution,status(thm),[c10,qg3]) ).
cnf(c100,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_3)
| ~ product(e_3,X197,e_2)
| equalish(X197,e_1) ),
inference(resolution,status(thm),[c10,product_right_cancellation]) ).
cnf(c7330,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_1)
| equalish(e_2,e_1) ),
inference(resolution,status(thm),[c567,c100]) ).
cnf(c17924,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_1) ),
inference(resolution,status(thm),[c7330,e_2_is_not_e_1]) ).
cnf(c17965,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_1)
| product(e_2,e_2,e_3) ),
inference(resolution,status(thm),[c17924,c102]) ).
cnf(c18100,plain,
( product(e_3,e_1,e_3)
| product(e_2,e_2,e_3)
| ~ product(e_3,X518,e_1)
| equalish(X518,e_1) ),
inference(resolution,status(thm),[c17965,product_right_cancellation]) ).
cnf(c22753,plain,
( product(e_2,e_2,e_3)
| product(e_3,e_1,e_3)
| equalish(e_2,e_1) ),
inference(resolution,status(thm),[c22713,c18100]) ).
cnf(c26529,plain,
( product(e_2,e_2,e_3)
| product(e_3,e_1,e_3) ),
inference(resolution,status(thm),[c22753,e_2_is_not_e_1]) ).
cnf(c26567,plain,
( product(e_2,e_2,e_3)
| ~ product(e_3,X611,e_1)
| product(e_3,X611,e_3) ),
inference(resolution,status(thm),[c26529,qg3]) ).
cnf(c32593,plain,
( product(e_2,e_2,e_3)
| product(e_3,e_2,e_3) ),
inference(resolution,status(thm),[c26567,c22713]) ).
cnf(c32651,plain,
( product(e_2,e_2,e_3)
| equalish(e_3,e_1) ),
inference(resolution,status(thm),[c32593,c29649]) ).
cnf(c32721,plain,
product(e_2,e_2,e_3),
inference(resolution,status(thm),[c32651,e_3_is_not_e_1]) ).
cnf(c32731,plain,
( product(e_1,e_2,e_1)
| equalish(e_2,e_1) ),
inference(resolution,status(thm),[c32721,c25634]) ).
cnf(c32974,plain,
product(e_1,e_2,e_1),
inference(resolution,status(thm),[c32731,e_2_is_not_e_1]) ).
cnf(c33005,plain,
( ~ product(e_1,e_2,X620)
| equalish(X620,e_1) ),
inference(resolution,status(thm),[c32974,product_total_function2]) ).
cnf(c27,plain,
( product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| ~ product(X64,e_2,e_1)
| equalish(X64,e_3) ),
inference(resolution,status(thm),[c4,product_left_cancellation]) ).
cnf(c6027,plain,
( product(e_2,e_2,e_2)
| product(e_3,e_2,e_3)
| equalish(e_1,e_3)
| product(e_3,e_2,e_2) ),
inference(resolution,status(thm),[c3311,c27]) ).
cnf(c9094,plain,
( product(e_2,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2) ),
inference(resolution,status(thm),[c6027,e_1_is_not_e_3]) ).
cnf(c9169,plain,
( product(e_2,e_2,e_2)
| product(e_3,e_2,e_2)
| ~ product(e_3,e_2,X413)
| equalish(X413,e_3) ),
inference(resolution,status(thm),[c9094,product_total_function2]) ).
cnf(c20150,plain,
( product(e_3,e_2,e_2)
| equalish(e_1,e_3)
| product(e_2,e_2,e_2) ),
inference(resolution,status(thm),[c20089,c9169]) ).
cnf(c21117,plain,
( product(e_3,e_2,e_2)
| product(e_2,e_2,e_2) ),
inference(resolution,status(thm),[c20150,e_1_is_not_e_3]) ).
cnf(c21248,plain,
( product(e_3,e_2,e_2)
| ~ product(e_2,e_2,X535)
| equalish(X535,e_2) ),
inference(resolution,status(thm),[c21117,product_total_function2]) ).
cnf(c32728,plain,
( product(e_3,e_2,e_2)
| equalish(e_3,e_2) ),
inference(resolution,status(thm),[c32721,c21248]) ).
cnf(c32851,plain,
product(e_3,e_2,e_2),
inference(resolution,status(thm),[c32728,e_3_is_not_e_2]) ).
cnf(c32853,plain,
( ~ product(e_3,X615,e_2)
| equalish(X615,e_2) ),
inference(resolution,status(thm),[c32851,product_right_cancellation]) ).
cnf(c6,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3) ),
inference(resolution,status(thm),[c1,element_2]) ).
cnf(c58,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| ~ product(e_2,X145,e_3)
| product(e_3,X145,e_2) ),
inference(resolution,status(thm),[c6,qg3]) ).
cnf(c872,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_3,e_3,e_2) ),
inference(resolution,status(thm),[c58,c6]) ).
cnf(c32732,plain,
( ~ product(e_2,X621,e_2)
| product(e_3,X621,e_2) ),
inference(resolution,status(thm),[c32721,qg3]) ).
cnf(c33232,plain,
( product(e_3,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(resolution,status(thm),[c32732,c872]) ).
cnf(c34265,plain,
( product(e_2,e_3,e_1)
| equalish(e_3,e_2) ),
inference(resolution,status(thm),[c33232,c32853]) ).
cnf(c34358,plain,
product(e_2,e_3,e_1),
inference(resolution,status(thm),[c34265,e_3_is_not_e_2]) ).
cnf(c34374,plain,
( ~ product(e_2,X627,e_3)
| product(e_1,X627,e_2) ),
inference(resolution,status(thm),[c34358,qg3]) ).
cnf(c34464,plain,
product(e_1,e_2,e_2),
inference(resolution,status(thm),[c34374,c32721]) ).
cnf(c34597,plain,
equalish(e_2,e_1),
inference(resolution,status(thm),[c34464,c33005]) ).
cnf(c34605,plain,
$false,
inference(resolution,status(thm),[c34597,e_2_is_not_e_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP130-1.003 : TPTP v8.1.0. Released v1.2.0.
% 0.11/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34 % Computer : n011.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jun 13 21:11:19 EDT 2022
% 0.12/0.34 % CPUTime :
% 29.03/29.23 # Version: 1.3
% 29.03/29.23 # SZS status Unsatisfiable
% 29.03/29.23 # SZS output start CNFRefutation
% See solution above
% 29.03/29.24
% 29.03/29.24 # Initial clauses : 14
% 29.03/29.24 # Processed clauses : 758
% 29.03/29.24 # Factors computed : 0
% 29.03/29.24 # Resolvents computed: 34606
% 29.03/29.24 # Tautologies deleted: 18
% 29.03/29.24 # Forward subsumed : 1860
% 29.03/29.24 # Backward subsumed : 468
% 29.03/29.24 # -------- CPU Time ---------
% 29.03/29.24 # User time : 28.785 s
% 29.03/29.24 # System time : 0.107 s
% 29.03/29.24 # Total time : 28.892 s
%------------------------------------------------------------------------------