TSTP Solution File: GRP129-1.003 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GRP129-1.003 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n015.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 11:22:00 EDT 2022
% Result : Unsatisfiable 4.25s 4.42s
% Output : Refutation 4.25s
% 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_right_cancellation,axiom,
( ~ product(X8,X6,X7)
| ~ product(X8,X9,X7)
| equalish(X6,X9) ),
input ).
cnf(product_left_cancellation,axiom,
( ~ product(X12,X13,X14)
| ~ product(X15,X13,X14)
| equalish(X12,X15) ),
input ).
cnf(element_1,axiom,
group_element(e_1),
input ).
cnf(product_total_function1,axiom,
( ~ group_element(X11)
| ~ group_element(X10)
| product(X11,X10,e_1)
| product(X11,X10,e_2)
| product(X11,X10,e_3) ),
input ).
cnf(c0,plain,
( ~ group_element(X20)
| product(X20,e_1,e_1)
| product(X20,e_1,e_2)
| product(X20,e_1,e_3) ),
inference(resolution,status(thm),[product_total_function1,element_1]) ).
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(c18,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_3)
| ~ product(e_1,X43,e_2)
| equalish(X43,e_1) ),
inference(resolution,status(thm),[c3,product_right_cancellation]) ).
cnf(qg3,negated_conjecture,
( ~ product(X18,X19,X17)
| ~ product(X19,X17,X16)
| product(X17,X18,X16) ),
input ).
cnf(c17,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_3)
| ~ product(X40,e_1,e_1)
| product(e_1,X40,e_2) ),
inference(resolution,status(thm),[c3,qg3]) ).
cnf(e_2_is_not_e_3,axiom,
~ equalish(e_2,e_3),
input ).
cnf(element_2,axiom,
group_element(e_2),
input ).
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(c19,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_3)
| ~ product(X46,e_1,e_2)
| equalish(X46,e_1) ),
inference(resolution,status(thm),[c3,product_left_cancellation]) ).
cnf(c208,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_3)
| equalish(e_2,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_3) ),
inference(resolution,status(thm),[c19,c4]) ).
cnf(c1593,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_3)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_3) ),
inference(resolution,status(thm),[c208,e_2_is_not_e_1]) ).
cnf(e_3_is_not_e_1,axiom,
~ equalish(e_3,e_1),
input ).
cnf(element_3,axiom,
group_element(e_3),
input ).
cnf(c5,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),[c0,element_3]) ).
cnf(c206,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_3)
| equalish(e_3,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_3) ),
inference(resolution,status(thm),[c19,c5]) ).
cnf(c1528,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_3)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_3) ),
inference(resolution,status(thm),[c206,e_3_is_not_e_1]) ).
cnf(c2053,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_3)
| product(e_3,e_1,e_3)
| product(e_1,e_3,e_2) ),
inference(resolution,status(thm),[c1528,c17]) ).
cnf(c2378,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_3)
| product(e_3,e_1,e_3)
| equalish(e_3,e_1) ),
inference(resolution,status(thm),[c2053,c18]) ).
cnf(c2442,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_3)
| product(e_3,e_1,e_3) ),
inference(resolution,status(thm),[c2378,e_3_is_not_e_1]) ).
cnf(c2483,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_3)
| ~ product(X210,e_1,e_3)
| equalish(X210,e_3) ),
inference(resolution,status(thm),[c2442,product_left_cancellation]) ).
cnf(c2625,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_3)
| equalish(e_2,e_3)
| product(e_2,e_1,e_1) ),
inference(resolution,status(thm),[c2483,c1593]) ).
cnf(c3161,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_3)
| product(e_2,e_1,e_1) ),
inference(resolution,status(thm),[c2625,e_2_is_not_e_3]) ).
cnf(c3253,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_3)
| product(e_1,e_2,e_2) ),
inference(resolution,status(thm),[c3161,c17]) ).
cnf(c3316,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_3)
| equalish(e_2,e_1) ),
inference(resolution,status(thm),[c3253,c18]) ).
cnf(c3389,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_3) ),
inference(resolution,status(thm),[c3316,e_2_is_not_e_1]) ).
cnf(c3400,plain,
( product(e_1,e_1,e_3)
| ~ product(X234,e_1,e_1)
| equalish(X234,e_1) ),
inference(resolution,status(thm),[c3389,product_left_cancellation]) ).
cnf(e_1_is_not_e_3,axiom,
~ equalish(e_1,e_3),
input ).
cnf(c39,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| ~ product(X98,e_1,e_1)
| equalish(X98,e_3) ),
inference(resolution,status(thm),[c5,product_left_cancellation]) ).
cnf(c2456,plain,
( product(e_1,e_1,e_3)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| equalish(e_1,e_3) ),
inference(resolution,status(thm),[c2442,c39]) ).
cnf(c2702,plain,
( product(e_1,e_1,e_3)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2) ),
inference(resolution,status(thm),[c2456,e_1_is_not_e_3]) ).
cnf(c2722,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| ~ product(e_1,X215,e_3)
| equalish(X215,e_1) ),
inference(resolution,status(thm),[c2702,product_right_cancellation]) ).
cnf(c2704,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| ~ product(X267,e_1,e_1)
| product(e_1,X267,e_3) ),
inference(resolution,status(thm),[c2702,qg3]) ).
cnf(c3956,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_1,e_3,e_3) ),
inference(resolution,status(thm),[c2704,c5]) ).
cnf(c4025,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| equalish(e_3,e_1) ),
inference(resolution,status(thm),[c3956,c2722]) ).
cnf(c4067,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2) ),
inference(resolution,status(thm),[c4025,e_3_is_not_e_1]) ).
cnf(c4085,plain,
( product(e_3,e_1,e_2)
| ~ product(e_3,X270,e_3)
| equalish(X270,e_1) ),
inference(resolution,status(thm),[c4067,product_right_cancellation]) ).
cnf(c2,plain,
( ~ group_element(X22)
| product(X22,e_3,e_1)
| product(X22,e_3,e_2)
| product(X22,e_3,e_3) ),
inference(resolution,status(thm),[product_total_function1,element_3]) ).
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(c86,plain,
( product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| ~ product(e_1,X154,e_1)
| equalish(X154,e_3) ),
inference(resolution,status(thm),[c9,product_right_cancellation]) ).
cnf(c3417,plain,
( product(e_1,e_1,e_1)
| ~ product(X240,e_1,e_1)
| product(e_1,X240,e_3) ),
inference(resolution,status(thm),[c3389,qg3]) ).
cnf(c85,plain,
( product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| ~ product(X155,e_1,e_3)
| product(e_3,X155,e_1) ),
inference(resolution,status(thm),[c9,qg3]) ).
cnf(c196,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_3)
| equalish(e_3,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_3) ),
inference(resolution,status(thm),[c18,c9]) ).
cnf(c1463,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_3)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_3) ),
inference(resolution,status(thm),[c196,e_3_is_not_e_1]) ).
cnf(c2477,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_3)
| ~ product(X223,e_3,e_1)
| product(e_1,X223,e_3) ),
inference(resolution,status(thm),[c2442,qg3]) ).
cnf(c2892,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_3)
| product(e_1,e_3,e_3) ),
inference(resolution,status(thm),[c2477,c1463]) ).
cnf(c2897,plain,
( product(e_1,e_1,e_3)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| equalish(e_1,e_3) ),
inference(resolution,status(thm),[c2892,c86]) ).
cnf(c4947,plain,
( product(e_1,e_1,e_3)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2) ),
inference(resolution,status(thm),[c2897,e_1_is_not_e_3]) ).
cnf(c4954,plain,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_3,e_1,e_1) ),
inference(resolution,status(thm),[c4947,c85]) ).
cnf(c5035,plain,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_1,e_1) ),
inference(resolution,status(thm),[c4954,c3417]) ).
cnf(c5075,plain,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| equalish(e_1,e_3) ),
inference(resolution,status(thm),[c5035,c86]) ).
cnf(c5269,plain,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_2) ),
inference(resolution,status(thm),[c5075,e_1_is_not_e_3]) ).
cnf(c5273,plain,
( product(e_1,e_3,e_2)
| ~ product(X326,e_1,e_3)
| product(e_3,X326,e_3) ),
inference(resolution,status(thm),[c5269,qg3]) ).
cnf(c5590,plain,
( product(e_1,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_3,e_1,e_2) ),
inference(resolution,status(thm),[c5273,c4067]) ).
cnf(c5646,plain,
( product(e_1,e_3,e_2)
| product(e_3,e_1,e_2)
| equalish(e_3,e_1) ),
inference(resolution,status(thm),[c5590,c4085]) ).
cnf(c5704,plain,
( product(e_1,e_3,e_2)
| product(e_3,e_1,e_2) ),
inference(resolution,status(thm),[c5646,e_3_is_not_e_1]) ).
cnf(c5792,plain,
( product(e_3,e_1,e_2)
| ~ product(X329,e_3,e_2)
| equalish(X329,e_1) ),
inference(resolution,status(thm),[c5704,product_left_cancellation]) ).
cnf(c5789,plain,
( product(e_3,e_1,e_2)
| ~ product(X334,e_1,e_3)
| product(e_3,X334,e_2) ),
inference(resolution,status(thm),[c5704,qg3]) ).
cnf(c6047,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_3,e_2) ),
inference(resolution,status(thm),[c5789,c4067]) ).
cnf(c6095,plain,
( product(e_3,e_1,e_2)
| equalish(e_3,e_1) ),
inference(resolution,status(thm),[c6047,c5792]) ).
cnf(c6117,plain,
product(e_3,e_1,e_2),
inference(resolution,status(thm),[c6095,e_3_is_not_e_1]) ).
cnf(c6134,plain,
( ~ product(e_3,X337,e_2)
| equalish(X337,e_1) ),
inference(resolution,status(thm),[c6117,product_right_cancellation]) ).
cnf(e_3_is_not_e_2,axiom,
~ equalish(e_3,e_2),
input ).
cnf(c31,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_3)
| ~ product(X73,e_1,e_2)
| equalish(X73,e_2) ),
inference(resolution,status(thm),[c4,product_left_cancellation]) ).
cnf(c6120,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_3)
| equalish(e_3,e_2) ),
inference(resolution,status(thm),[c6117,c31]) ).
cnf(c6330,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_3) ),
inference(resolution,status(thm),[c6120,e_3_is_not_e_2]) ).
cnf(c5278,plain,
( product(e_1,e_3,e_2)
| ~ product(X319,e_3,e_3)
| equalish(X319,e_1) ),
inference(resolution,status(thm),[c5269,product_left_cancellation]) ).
cnf(c6119,plain,
( ~ product(X338,e_3,e_1)
| product(e_1,X338,e_2) ),
inference(resolution,status(thm),[c6117,qg3]) ).
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(c114,plain,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_3)
| ~ product(e_3,X183,e_2)
| equalish(X183,e_3) ),
inference(resolution,status(thm),[c11,product_right_cancellation]) ).
cnf(c6122,plain,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_3)
| equalish(e_1,e_3) ),
inference(resolution,status(thm),[c6117,c114]) ).
cnf(c6592,plain,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_3) ),
inference(resolution,status(thm),[c6122,e_1_is_not_e_3]) ).
cnf(c6600,plain,
( product(e_3,e_3,e_3)
| product(e_1,e_3,e_2) ),
inference(resolution,status(thm),[c6592,c6119]) ).
cnf(c6629,plain,
( product(e_1,e_3,e_2)
| equalish(e_3,e_1) ),
inference(resolution,status(thm),[c6600,c5278]) ).
cnf(c6660,plain,
product(e_1,e_3,e_2),
inference(resolution,status(thm),[c6629,e_3_is_not_e_1]) ).
cnf(c6662,plain,
( ~ product(X367,e_1,e_3)
| product(e_3,X367,e_2) ),
inference(resolution,status(thm),[c6660,qg3]) ).
cnf(c6694,plain,
( product(e_3,e_2,e_2)
| product(e_2,e_1,e_1) ),
inference(resolution,status(thm),[c6662,c6330]) ).
cnf(c6706,plain,
( product(e_2,e_1,e_1)
| equalish(e_2,e_1) ),
inference(resolution,status(thm),[c6694,c6134]) ).
cnf(c6736,plain,
( equalish(e_2,e_1)
| product(e_1,e_1,e_3) ),
inference(resolution,status(thm),[c6706,c3400]) ).
cnf(c6780,plain,
product(e_1,e_1,e_3),
inference(resolution,status(thm),[c6736,e_2_is_not_e_1]) ).
cnf(c6798,plain,
( ~ product(e_1,X373,e_3)
| equalish(X373,e_1) ),
inference(resolution,status(thm),[c6780,product_right_cancellation]) ).
cnf(c6744,plain,
product(e_2,e_1,e_1),
inference(resolution,status(thm),[c6706,e_2_is_not_e_1]) ).
cnf(c6791,plain,
( ~ product(X375,e_1,e_1)
| product(e_1,X375,e_3) ),
inference(resolution,status(thm),[c6780,qg3]) ).
cnf(c6825,plain,
product(e_1,e_2,e_3),
inference(resolution,status(thm),[c6791,c6744]) ).
cnf(c6826,plain,
equalish(e_2,e_1),
inference(resolution,status(thm),[c6825,c6798]) ).
cnf(c6839,plain,
$false,
inference(resolution,status(thm),[c6826,e_2_is_not_e_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GRP129-1.003 : TPTP v8.1.0. Released v1.2.0.
% 0.00/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n015.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 07:39:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 4.25/4.42 # Version: 1.3
% 4.25/4.42 # SZS status Unsatisfiable
% 4.25/4.42 # SZS output start CNFRefutation
% See solution above
% 4.25/4.42
% 4.25/4.42 # Initial clauses : 14
% 4.25/4.42 # Processed clauses : 378
% 4.25/4.42 # Factors computed : 0
% 4.25/4.42 # Resolvents computed: 6894
% 4.25/4.42 # Tautologies deleted: 0
% 4.25/4.42 # Forward subsumed : 906
% 4.25/4.42 # Backward subsumed : 284
% 4.25/4.42 # -------- CPU Time ---------
% 4.25/4.42 # User time : 4.055 s
% 4.25/4.42 # System time : 0.032 s
% 4.25/4.42 # Total time : 4.087 s
%------------------------------------------------------------------------------