TSTP Solution File: GRP135-1.002 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GRP135-1.002 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n023.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 11:22:10 EDT 2022
% Result : Unsatisfiable 0.48s 0.68s
% Output : Refutation 0.48s
% 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(X15,X13,X14)
| ~ product(X12,X13,X14)
| equalish(X15,X12) ),
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(X7)
| ~ group_element(X6)
| product(X7,X6,e_1)
| product(X7,X6,e_2) ),
input ).
cnf(c1,plain,
( ~ group_element(X21)
| product(X21,e_2,e_1)
| product(X21,e_2,e_2) ),
inference(resolution,status(thm),[product_total_function1,element_2]) ).
cnf(c12,plain,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2) ),
inference(resolution,status(thm),[c1,element_1]) ).
cnf(product_right_cancellation,axiom,
( ~ product(X10,X11,X9)
| ~ product(X10,X8,X9)
| equalish(X11,X8) ),
input ).
cnf(c0,plain,
( ~ group_element(X20)
| product(X20,e_1,e_1)
| product(X20,e_1,e_2) ),
inference(resolution,status(thm),[product_total_function1,element_1]) ).
cnf(c2,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2) ),
inference(resolution,status(thm),[c0,element_1]) ).
cnf(c8,plain,
( product(e_1,e_1,e_1)
| ~ product(X29,e_1,e_2)
| equalish(X29,e_1) ),
inference(resolution,status(thm),[c2,product_left_cancellation]) ).
cnf(qg3,negated_conjecture,
( ~ product(X18,X19,X17)
| ~ product(X17,X18,X16)
| product(X16,X18,X19) ),
input ).
cnf(c3,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2) ),
inference(resolution,status(thm),[c0,element_2]) ).
cnf(c16,plain,
( product(e_2,e_1,e_2)
| ~ product(e_1,X42,e_2)
| product(e_1,e_1,X42) ),
inference(resolution,status(thm),[c3,qg3]) ).
cnf(c113,plain,
( product(e_2,e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(resolution,status(thm),[c16,c2]) ).
cnf(c120,plain,
( product(e_1,e_1,e_1)
| equalish(e_2,e_1) ),
inference(resolution,status(thm),[c113,c8]) ).
cnf(c143,plain,
product(e_1,e_1,e_1),
inference(resolution,status(thm),[c120,e_2_is_not_e_1]) ).
cnf(c144,plain,
( ~ product(e_1,X43,e_1)
| equalish(X43,e_1) ),
inference(resolution,status(thm),[c143,product_right_cancellation]) ).
cnf(c153,plain,
( equalish(e_2,e_1)
| product(e_1,e_2,e_2) ),
inference(resolution,status(thm),[c144,c12]) ).
cnf(c187,plain,
product(e_1,e_2,e_2),
inference(resolution,status(thm),[c153,e_2_is_not_e_1]) ).
cnf(c195,plain,
( ~ product(X56,e_2,e_2)
| equalish(X56,e_1) ),
inference(resolution,status(thm),[c187,product_left_cancellation]) ).
cnf(c13,plain,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2) ),
inference(resolution,status(thm),[c1,element_2]) ).
cnf(e_1_is_not_e_2,axiom,
~ equalish(e_1,e_2),
input ).
cnf(c14,plain,
( product(e_2,e_1,e_2)
| ~ product(X36,e_1,e_1)
| equalish(X36,e_2) ),
inference(resolution,status(thm),[c3,product_left_cancellation]) ).
cnf(c130,plain,
( product(e_2,e_1,e_2)
| equalish(e_1,e_2) ),
inference(resolution,status(thm),[c113,c14]) ).
cnf(c167,plain,
product(e_2,e_1,e_2),
inference(resolution,status(thm),[c130,e_1_is_not_e_2]) ).
cnf(c171,plain,
( ~ product(e_2,X48,e_2)
| equalish(X48,e_1) ),
inference(resolution,status(thm),[c167,product_right_cancellation]) ).
cnf(c177,plain,
( equalish(e_2,e_1)
| product(e_2,e_2,e_1) ),
inference(resolution,status(thm),[c171,c13]) ).
cnf(c203,plain,
product(e_2,e_2,e_1),
inference(resolution,status(thm),[c177,e_2_is_not_e_1]) ).
cnf(c196,plain,
( ~ product(e_2,X66,e_1)
| product(e_2,e_2,X66) ),
inference(resolution,status(thm),[c187,qg3]) ).
cnf(c215,plain,
product(e_2,e_2,e_2),
inference(resolution,status(thm),[c196,c203]) ).
cnf(c217,plain,
equalish(e_2,e_1),
inference(resolution,status(thm),[c215,c195]) ).
cnf(c223,plain,
$false,
inference(resolution,status(thm),[c217,e_2_is_not_e_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : GRP135-1.002 : TPTP v8.1.0. Released v1.2.0.
% 0.13/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n023.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jun 13 21:11:36 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.48/0.68 # Version: 1.3
% 0.48/0.68 # SZS status Unsatisfiable
% 0.48/0.68 # SZS output start CNFRefutation
% See solution above
% 0.48/0.68
% 0.48/0.68 # Initial clauses : 9
% 0.48/0.68 # Processed clauses : 67
% 0.48/0.68 # Factors computed : 0
% 0.48/0.68 # Resolvents computed: 224
% 0.48/0.68 # Tautologies deleted: 0
% 0.48/0.68 # Forward subsumed : 48
% 0.48/0.68 # Backward subsumed : 33
% 0.48/0.68 # -------- CPU Time ---------
% 0.48/0.68 # User time : 0.305 s
% 0.48/0.68 # System time : 0.019 s
% 0.48/0.68 # Total time : 0.324 s
%------------------------------------------------------------------------------