TSTP Solution File: GRP128-4.003 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GRP128-4.003 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n013.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 1.47s 1.65s
% Output : Refutation 1.47s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(e_2_is_not_e_3,axiom,
~ equalish(e_2,e_3),
input ).
cnf(product_total_function2,axiom,
( ~ product(X7,X4,X6)
| ~ product(X7,X4,X5)
| equalish(X6,X5) ),
input ).
cnf(qg3_1,negated_conjecture,
( product(X21,X19,X18)
| ~ product(X21,X18,X20)
| ~ product(X18,X19,X20) ),
input ).
cnf(e_2_is_not_e_1,axiom,
~ equalish(e_2,e_1),
input ).
cnf(element_2,axiom,
group_element(e_2),
input ).
cnf(element_1,axiom,
group_element(e_1),
input ).
cnf(row_surjectivity,axiom,
( ~ group_element(X3)
| ~ group_element(X2)
| product(e_1,X3,X2)
| product(e_2,X3,X2)
| product(e_3,X3,X2) ),
input ).
cnf(c0,plain,
( ~ group_element(X32)
| product(e_1,X32,e_1)
| product(e_2,X32,e_1)
| product(e_3,X32,e_1) ),
inference(resolution,status(thm),[row_surjectivity,element_1]) ).
cnf(c10,plain,
( product(e_1,e_2,e_1)
| product(e_2,e_2,e_1)
| product(e_3,e_2,e_1) ),
inference(resolution,status(thm),[c0,element_2]) ).
cnf(product_right_cancellation,axiom,
( ~ product(X13,X12,X10)
| ~ product(X13,X11,X10)
| equalish(X12,X11) ),
input ).
cnf(product_left_cancellation,axiom,
( ~ product(X16,X14,X17)
| ~ product(X15,X14,X17)
| equalish(X16,X15) ),
input ).
cnf(c9,plain,
( product(e_1,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_3,e_1,e_1) ),
inference(resolution,status(thm),[c0,element_1]) ).
cnf(qg3_2,negated_conjecture,
( product(X22,X24,X23)
| ~ product(X25,X22,X23)
| ~ product(X25,X24,X22) ),
input ).
cnf(c44,plain,
( product(e_1,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_1,e_1,X67)
| ~ product(e_2,e_1,X67) ),
inference(resolution,status(thm),[c9,qg3_2]) ).
cnf(c689,plain,
( product(e_1,e_1,e_1)
| product(e_3,e_1,e_1) ),
inference(resolution,status(thm),[c44,c9]) ).
cnf(c709,plain,
( product(e_1,e_1,e_1)
| ~ product(X74,e_1,e_1)
| equalish(X74,e_3) ),
inference(resolution,status(thm),[c689,product_left_cancellation]) ).
cnf(c50,plain,
( product(e_1,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_1,e_1,X81)
| ~ product(e_3,e_1,X81) ),
inference(resolution,status(thm),[c9,qg3_2]) ).
cnf(c839,plain,
( product(e_1,e_1,e_1)
| product(e_2,e_1,e_1) ),
inference(resolution,status(thm),[c50,c689]) ).
cnf(c860,plain,
( product(e_1,e_1,e_1)
| equalish(e_2,e_3) ),
inference(resolution,status(thm),[c839,c709]) ).
cnf(c877,plain,
product(e_1,e_1,e_1),
inference(resolution,status(thm),[c860,e_2_is_not_e_3]) ).
cnf(c880,plain,
( ~ product(e_1,X82,e_1)
| equalish(X82,e_1) ),
inference(resolution,status(thm),[c877,product_right_cancellation]) ).
cnf(c890,plain,
( equalish(e_2,e_1)
| product(e_2,e_2,e_1)
| product(e_3,e_2,e_1) ),
inference(resolution,status(thm),[c880,c10]) ).
cnf(c986,plain,
( product(e_2,e_2,e_1)
| product(e_3,e_2,e_1) ),
inference(resolution,status(thm),[c890,e_2_is_not_e_1]) ).
cnf(c1022,plain,
( product(e_3,e_2,e_1)
| ~ product(e_2,e_2,X135)
| equalish(X135,e_1) ),
inference(resolution,status(thm),[c986,product_total_function2]) ).
cnf(qg3,negated_conjecture,
( ~ product(X29,X27,X26)
| ~ product(X26,X27,X28)
| product(X29,X26,X28) ),
input ).
cnf(c1017,plain,
( product(e_3,e_2,e_1)
| ~ product(X262,e_2,e_2)
| product(X262,e_2,e_1) ),
inference(resolution,status(thm),[c986,qg3]) ).
cnf(c1,plain,
( ~ group_element(X33)
| product(e_1,X33,e_2)
| product(e_2,X33,e_2)
| product(e_3,X33,e_2) ),
inference(resolution,status(thm),[row_surjectivity,element_2]) ).
cnf(c13,plain,
( product(e_1,e_2,e_2)
| product(e_2,e_2,e_2)
| product(e_3,e_2,e_2) ),
inference(resolution,status(thm),[c1,element_2]) ).
cnf(c110,plain,
( product(e_2,e_2,e_2)
| product(e_3,e_2,e_2)
| product(e_2,e_2,X271)
| ~ product(e_1,e_2,X271) ),
inference(resolution,status(thm),[c13,qg3_2]) ).
cnf(c2445,plain,
( product(e_2,e_2,e_2)
| product(e_3,e_2,e_2) ),
inference(resolution,status(thm),[c110,c13]) ).
cnf(c2466,plain,
( product(e_2,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(resolution,status(thm),[c2445,c1017]) ).
cnf(c2488,plain,
( product(e_3,e_2,e_1)
| equalish(e_2,e_1) ),
inference(resolution,status(thm),[c2466,c1022]) ).
cnf(c2542,plain,
product(e_3,e_2,e_1),
inference(resolution,status(thm),[c2488,e_2_is_not_e_1]) ).
cnf(c2549,plain,
( product(X277,e_2,e_3)
| ~ product(X277,e_3,e_1) ),
inference(resolution,status(thm),[c2542,qg3_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(c11,plain,
( product(e_1,e_3,e_1)
| product(e_2,e_3,e_1)
| product(e_3,e_3,e_1) ),
inference(resolution,status(thm),[c0,element_3]) ).
cnf(c894,plain,
( equalish(e_3,e_1)
| product(e_2,e_3,e_1)
| product(e_3,e_3,e_1) ),
inference(resolution,status(thm),[c880,c11]) ).
cnf(c1427,plain,
( product(e_2,e_3,e_1)
| product(e_3,e_3,e_1) ),
inference(resolution,status(thm),[c894,e_3_is_not_e_1]) ).
cnf(c1460,plain,
( product(e_2,e_3,e_1)
| ~ product(e_3,X186,e_1)
| equalish(X186,e_3) ),
inference(resolution,status(thm),[c1427,product_right_cancellation]) ).
cnf(c2555,plain,
( product(e_2,e_3,e_1)
| equalish(e_2,e_3) ),
inference(resolution,status(thm),[c2542,c1460]) ).
cnf(c2608,plain,
product(e_2,e_3,e_1),
inference(resolution,status(thm),[c2555,e_2_is_not_e_3]) ).
cnf(c2611,plain,
product(e_2,e_2,e_3),
inference(resolution,status(thm),[c2608,c2549]) ).
cnf(c2624,plain,
( ~ product(e_2,e_2,X288)
| equalish(X288,e_3) ),
inference(resolution,status(thm),[c2611,product_total_function2]) ).
cnf(c2547,plain,
( ~ product(e_3,e_2,X274)
| equalish(X274,e_1) ),
inference(resolution,status(thm),[c2542,product_total_function2]) ).
cnf(c2569,plain,
( equalish(e_2,e_1)
| product(e_2,e_2,e_2) ),
inference(resolution,status(thm),[c2547,c2445]) ).
cnf(c2668,plain,
product(e_2,e_2,e_2),
inference(resolution,status(thm),[c2569,e_2_is_not_e_1]) ).
cnf(c2690,plain,
equalish(e_2,e_3),
inference(resolution,status(thm),[c2668,c2624]) ).
cnf(c2701,plain,
$false,
inference(resolution,status(thm),[c2690,e_2_is_not_e_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP128-4.003 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.06/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 14 12:35:59 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.47/1.65 # Version: 1.3
% 1.47/1.65 # SZS status Unsatisfiable
% 1.47/1.65 # SZS output start CNFRefutation
% See solution above
% 1.47/1.65
% 1.47/1.65 # Initial clauses : 18
% 1.47/1.65 # Processed clauses : 273
% 1.47/1.65 # Factors computed : 0
% 1.47/1.65 # Resolvents computed: 2702
% 1.47/1.65 # Tautologies deleted: 23
% 1.47/1.65 # Forward subsumed : 241
% 1.47/1.65 # Backward subsumed : 149
% 1.47/1.65 # -------- CPU Time ---------
% 1.47/1.65 # User time : 1.293 s
% 1.47/1.65 # System time : 0.016 s
% 1.47/1.65 # Total time : 1.309 s
%------------------------------------------------------------------------------