TSTP Solution File: GRP133-2.003 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GRP133-2.003 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n006.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 11:22:08 EDT 2022
% Result : Unsatisfiable 2.55s 2.77s
% Output : Refutation 2.55s
% 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_left_cancellation,axiom,
( ~ product(X16,X15,X18)
| ~ product(X17,X15,X18)
| equalish(X16,X17) ),
input ).
cnf(e_1_is_not_e_3,axiom,
~ equalish(e_1,e_3),
input ).
cnf(product_total_function2,axiom,
( ~ product(X6,X5,X8)
| ~ product(X6,X5,X7)
| equalish(X8,X7) ),
input ).
cnf(e_1_then_e_2,axiom,
next(e_1,e_2),
input ).
cnf(e_3_greater_e_2,axiom,
greater(e_3,e_2),
input ).
cnf(no_redundancy,axiom,
( ~ product(X3,e_1,X2)
| ~ next(X3,X4)
| ~ greater(X2,X4) ),
input ).
cnf(element_3,axiom,
group_element(e_3),
input ).
cnf(product_total_function1,axiom,
( ~ group_element(X14)
| ~ group_element(X13)
| product(X14,X13,e_1)
| product(X14,X13,e_2)
| product(X14,X13,e_3) ),
input ).
cnf(c2,plain,
( ~ group_element(X25)
| product(X25,e_3,e_1)
| product(X25,e_3,e_2)
| product(X25,e_3,e_3) ),
inference(resolution,status(thm),[product_total_function1,element_3]) ).
cnf(c11,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),[c2,element_3]) ).
cnf(qg3,negated_conjecture,
( ~ product(X20,X19,X21)
| ~ product(X19,X20,X22)
| product(X21,X22,X20) ),
input ).
cnf(c120,plain,
( product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| ~ product(e_3,e_3,X241)
| product(X241,e_1,e_3) ),
inference(resolution,status(thm),[c11,qg3]) ).
cnf(c931,plain,
( product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_1,e_1,e_3) ),
inference(resolution,status(thm),[c120,c11]) ).
cnf(c963,plain,
( product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| ~ next(e_1,X242)
| ~ greater(e_3,X242) ),
inference(resolution,status(thm),[c931,no_redundancy]) ).
cnf(c971,plain,
( product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| ~ next(e_1,e_2) ),
inference(resolution,status(thm),[c963,e_3_greater_e_2]) ).
cnf(c972,plain,
( product(e_3,e_3,e_2)
| product(e_3,e_3,e_3) ),
inference(resolution,status(thm),[c971,e_1_then_e_2]) ).
cnf(c978,plain,
( product(e_3,e_3,e_3)
| ~ product(e_3,e_3,X252)
| product(X252,e_2,e_3) ),
inference(resolution,status(thm),[c972,qg3]) ).
cnf(c1019,plain,
( product(e_3,e_3,e_3)
| product(e_2,e_2,e_3) ),
inference(resolution,status(thm),[c978,c972]) ).
cnf(c1037,plain,
( product(e_3,e_3,e_3)
| ~ product(e_2,e_2,X258)
| equalish(X258,e_3) ),
inference(resolution,status(thm),[c1019,product_total_function2]) ).
cnf(e_1_is_not_e_2,axiom,
~ equalish(e_1,e_2),
input ).
cnf(product_right_cancellation,axiom,
( ~ product(X10,X12,X9)
| ~ product(X10,X11,X9)
| equalish(X12,X11) ),
input ).
cnf(c1051,plain,
( product(e_3,e_3,e_3)
| ~ product(e_2,X259,e_3)
| equalish(X259,e_2) ),
inference(resolution,status(thm),[c1019,product_right_cancellation]) ).
cnf(element_2,axiom,
group_element(e_2),
input ).
cnf(element_1,axiom,
group_element(e_1),
input ).
cnf(c0,plain,
( ~ group_element(X23)
| product(X23,e_1,e_1)
| product(X23,e_1,e_2)
| product(X23,e_1,e_3) ),
inference(resolution,status(thm),[product_total_function1,element_1]) ).
cnf(c4,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference(resolution,status(thm),[c0,element_2]) ).
cnf(c27,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| ~ product(X62,e_1,e_1)
| equalish(X62,e_2) ),
inference(resolution,status(thm),[c4,product_left_cancellation]) ).
cnf(c3,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3) ),
inference(resolution,status(thm),[c0,element_1]) ).
cnf(c26,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| ~ next(e_1,X39)
| ~ greater(e_3,X39) ),
inference(resolution,status(thm),[c3,no_redundancy]) ).
cnf(c168,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| ~ next(e_1,e_2) ),
inference(resolution,status(thm),[c26,e_3_greater_e_2]) ).
cnf(c172,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2) ),
inference(resolution,status(thm),[c168,e_1_then_e_2]) ).
cnf(c188,plain,
( product(e_1,e_1,e_1)
| ~ product(e_1,e_1,X63)
| product(X63,e_2,e_1) ),
inference(resolution,status(thm),[c172,qg3]) ).
cnf(c248,plain,
( product(e_1,e_1,e_1)
| product(e_2,e_2,e_1) ),
inference(resolution,status(thm),[c188,c172]) ).
cnf(c267,plain,
( product(e_1,e_1,e_1)
| ~ product(e_2,X72,e_1)
| equalish(X72,e_2) ),
inference(resolution,status(thm),[c248,product_right_cancellation]) ).
cnf(c182,plain,
( product(e_1,e_1,e_1)
| ~ product(X48,e_1,e_2)
| equalish(X48,e_1) ),
inference(resolution,status(thm),[c172,product_left_cancellation]) ).
cnf(c204,plain,
( product(e_1,e_1,e_1)
| equalish(e_2,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_3) ),
inference(resolution,status(thm),[c182,c4]) ).
cnf(c2265,plain,
( product(e_1,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_3) ),
inference(resolution,status(thm),[c204,e_2_is_not_e_1]) ).
cnf(c2333,plain,
( product(e_1,e_1,e_1)
| product(e_2,e_1,e_3)
| equalish(e_1,e_2) ),
inference(resolution,status(thm),[c2265,c267]) ).
cnf(c2384,plain,
( product(e_2,e_1,e_3)
| equalish(e_1,e_2)
| product(e_2,e_1,e_2) ),
inference(resolution,status(thm),[c2333,c27]) ).
cnf(c2694,plain,
( equalish(e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_3,e_3) ),
inference(resolution,status(thm),[c2384,c1051]) ).
cnf(c2866,plain,
( product(e_2,e_1,e_2)
| product(e_3,e_3,e_3) ),
inference(resolution,status(thm),[c2694,e_1_is_not_e_2]) ).
cnf(c2906,plain,
( product(e_3,e_3,e_3)
| ~ product(e_1,e_2,X327)
| product(X327,e_2,e_1) ),
inference(resolution,status(thm),[c2866,qg3]) ).
cnf(c1052,plain,
( product(e_3,e_3,e_3)
| ~ product(X261,e_2,e_3)
| equalish(X261,e_2) ),
inference(resolution,status(thm),[c1019,product_left_cancellation]) ).
cnf(c1,plain,
( ~ group_element(X24)
| product(X24,e_2,e_1)
| product(X24,e_2,e_2)
| product(X24,e_2,e_3) ),
inference(resolution,status(thm),[product_total_function1,element_2]) ).
cnf(c6,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),[c1,element_1]) ).
cnf(c57,plain,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| ~ product(X137,e_2,e_1)
| equalish(X137,e_1) ),
inference(resolution,status(thm),[c6,product_left_cancellation]) ).
cnf(c257,plain,
( product(e_2,e_2,e_1)
| ~ product(e_1,X67,e_1)
| equalish(X67,e_1) ),
inference(resolution,status(thm),[c248,product_right_cancellation]) ).
cnf(c278,plain,
( product(e_2,e_2,e_1)
| equalish(e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(resolution,status(thm),[c257,c6]) ).
cnf(c2812,plain,
( equalish(e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(resolution,status(thm),[c278,c57]) ).
cnf(c3121,plain,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(resolution,status(thm),[c2812,e_2_is_not_e_1]) ).
cnf(c3182,plain,
( product(e_1,e_2,e_2)
| product(e_3,e_3,e_3)
| equalish(e_1,e_2) ),
inference(resolution,status(thm),[c3121,c1052]) ).
cnf(c3955,plain,
( product(e_1,e_2,e_2)
| product(e_3,e_3,e_3) ),
inference(resolution,status(thm),[c3182,e_1_is_not_e_2]) ).
cnf(c3960,plain,
( product(e_3,e_3,e_3)
| product(e_2,e_2,e_1) ),
inference(resolution,status(thm),[c3955,c2906]) ).
cnf(c4019,plain,
( product(e_3,e_3,e_3)
| equalish(e_1,e_3) ),
inference(resolution,status(thm),[c3960,c1037]) ).
cnf(c4052,plain,
product(e_3,e_3,e_3),
inference(resolution,status(thm),[c4019,e_1_is_not_e_3]) ).
cnf(c4072,plain,
( ~ product(X358,e_3,e_3)
| equalish(X358,e_3) ),
inference(resolution,status(thm),[c4052,product_left_cancellation]) ).
cnf(c9,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3) ),
inference(resolution,status(thm),[c2,element_1]) ).
cnf(c94,plain,
( product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| ~ product(e_1,X214,e_1)
| equalish(X214,e_3) ),
inference(resolution,status(thm),[c9,product_right_cancellation]) ).
cnf(e_3_is_not_e_1,axiom,
~ equalish(e_3,e_1),
input ).
cnf(c266,plain,
( product(e_1,e_1,e_1)
| ~ product(e_2,e_2,X70)
| equalish(X70,e_1) ),
inference(resolution,status(thm),[c248,product_total_function2]) ).
cnf(c1043,plain,
( product(e_3,e_3,e_3)
| product(e_1,e_1,e_1)
| equalish(e_3,e_1) ),
inference(resolution,status(thm),[c1019,c266]) ).
cnf(c1276,plain,
( product(e_3,e_3,e_3)
| product(e_1,e_1,e_1) ),
inference(resolution,status(thm),[c1043,e_3_is_not_e_1]) ).
cnf(c1278,plain,
( product(e_1,e_1,e_1)
| ~ product(e_3,e_3,X268)
| equalish(X268,e_3) ),
inference(resolution,status(thm),[c1276,product_total_function2]) ).
cnf(c2403,plain,
( product(e_1,e_1,e_1)
| product(e_2,e_1,e_3) ),
inference(resolution,status(thm),[c2333,e_1_is_not_e_2]) ).
cnf(c2427,plain,
( product(e_1,e_1,e_1)
| ~ product(e_1,e_2,X311)
| product(X311,e_3,e_1) ),
inference(resolution,status(thm),[c2403,qg3]) ).
cnf(c186,plain,
( product(e_1,e_1,e_1)
| ~ product(e_1,X49,e_2)
| equalish(X49,e_1) ),
inference(resolution,status(thm),[c172,product_right_cancellation]) ).
cnf(c3127,plain,
( equalish(e_2,e_1)
| product(e_1,e_2,e_3)
| product(e_1,e_1,e_1) ),
inference(resolution,status(thm),[c2812,c186]) ).
cnf(c3430,plain,
( product(e_1,e_2,e_3)
| product(e_1,e_1,e_1) ),
inference(resolution,status(thm),[c3127,e_2_is_not_e_1]) ).
cnf(c3477,plain,
( product(e_1,e_1,e_1)
| product(e_3,e_3,e_1) ),
inference(resolution,status(thm),[c3430,c2427]) ).
cnf(c3539,plain,
( product(e_1,e_1,e_1)
| equalish(e_1,e_3) ),
inference(resolution,status(thm),[c3477,c1278]) ).
cnf(c3570,plain,
( equalish(e_1,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3) ),
inference(resolution,status(thm),[c3539,c94]) ).
cnf(c4176,plain,
( equalish(e_1,e_3)
| product(e_1,e_3,e_2) ),
inference(resolution,status(thm),[c3570,c4072]) ).
cnf(c4177,plain,
product(e_1,e_3,e_2),
inference(resolution,status(thm),[c4176,e_1_is_not_e_3]) ).
cnf(c4203,plain,
( ~ product(X383,e_3,e_2)
| equalish(X383,e_1) ),
inference(resolution,status(thm),[c4177,product_left_cancellation]) ).
cnf(e_3_is_not_e_2,axiom,
~ equalish(e_3,e_2),
input ).
cnf(c3166,plain,
( product(e_1,e_2,e_3)
| ~ product(e_1,X322,e_2)
| equalish(X322,e_2) ),
inference(resolution,status(thm),[c3121,product_right_cancellation]) ).
cnf(c4193,plain,
( product(e_1,e_2,e_3)
| equalish(e_3,e_2) ),
inference(resolution,status(thm),[c4177,c3166]) ).
cnf(c4351,plain,
product(e_1,e_2,e_3),
inference(resolution,status(thm),[c4193,e_3_is_not_e_2]) ).
cnf(c4352,plain,
( ~ product(e_2,e_1,X388)
| product(X388,e_3,e_2) ),
inference(resolution,status(thm),[c4351,qg3]) ).
cnf(c4054,plain,
( ~ product(e_3,e_3,X356)
| equalish(X356,e_3) ),
inference(resolution,status(thm),[c4052,product_total_function2]) ).
cnf(c2705,plain,
( product(e_2,e_1,e_3)
| product(e_2,e_1,e_2) ),
inference(resolution,status(thm),[c2384,e_1_is_not_e_2]) ).
cnf(c2724,plain,
( product(e_2,e_1,e_2)
| ~ product(e_1,e_2,X319)
| product(X319,e_3,e_1) ),
inference(resolution,status(thm),[c2705,qg3]) ).
cnf(c4357,plain,
( product(e_2,e_1,e_2)
| product(e_3,e_3,e_1) ),
inference(resolution,status(thm),[c4351,c2724]) ).
cnf(c4431,plain,
( product(e_2,e_1,e_2)
| equalish(e_1,e_3) ),
inference(resolution,status(thm),[c4357,c4054]) ).
cnf(c4450,plain,
product(e_2,e_1,e_2),
inference(resolution,status(thm),[c4431,e_1_is_not_e_3]) ).
cnf(c4460,plain,
product(e_2,e_3,e_2),
inference(resolution,status(thm),[c4450,c4352]) ).
cnf(c4463,plain,
equalish(e_2,e_1),
inference(resolution,status(thm),[c4460,c4203]) ).
cnf(c4476,plain,
$false,
inference(resolution,status(thm),[c4463,e_2_is_not_e_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP133-2.003 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n006.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 06:46:12 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.55/2.77 # Version: 1.3
% 2.55/2.77 # SZS status Unsatisfiable
% 2.55/2.77 # SZS output start CNFRefutation
% See solution above
% 2.55/2.78
% 2.55/2.78 # Initial clauses : 20
% 2.55/2.78 # Processed clauses : 411
% 2.55/2.78 # Factors computed : 0
% 2.55/2.78 # Resolvents computed: 4477
% 2.55/2.78 # Tautologies deleted: 0
% 2.55/2.78 # Forward subsumed : 659
% 2.55/2.78 # Backward subsumed : 290
% 2.55/2.78 # -------- CPU Time ---------
% 2.55/2.78 # User time : 2.421 s
% 2.55/2.78 # System time : 0.018 s
% 2.55/2.78 # Total time : 2.439 s
%------------------------------------------------------------------------------