TSTP Solution File: GRP126-2.004 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GRP126-2.004 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n018.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 11:21:54 EDT 2022
% Result : Unsatisfiable 0.61s 0.83s
% Output : Refutation 0.61s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(e_3_is_not_e_1,axiom,
~ equalish(e_3,e_1),
input ).
cnf(product_right_cancellation,axiom,
( ~ product(X16,X19,X18)
| ~ product(X16,X17,X18)
| equalish(X19,X17) ),
input ).
cnf(e_1_is_not_e_4,axiom,
~ equalish(e_1,e_4),
input ).
cnf(product_idempotence,axiom,
product(X2,X2,X2),
input ).
cnf(c7,plain,
( ~ product(X21,X20,X21)
| equalish(X20,X21) ),
inference(resolution,status(thm),[product_right_cancellation,product_idempotence]) ).
cnf(e_4_is_not_e_2,axiom,
~ equalish(e_4,e_2),
input ).
cnf(product_left_cancellation,axiom,
( ~ product(X26,X23,X25)
| ~ product(X24,X23,X25)
| equalish(X26,X24) ),
input ).
cnf(e_2_then_e_3,axiom,
next(e_2,e_3),
input ).
cnf(e_4_greater_e_3,axiom,
greater(e_4,e_3),
input ).
cnf(no_redundancy,axiom,
( ~ product(X3,e_1,X5)
| ~ next(X3,X4)
| ~ greater(X5,X4) ),
input ).
cnf(e_1_is_not_e_2,axiom,
~ equalish(e_1,e_2),
input ).
cnf(e_2_is_not_e_1,axiom,
~ equalish(e_2,e_1),
input ).
cnf(c9,plain,
( ~ product(X27,X28,X28)
| equalish(X27,X28) ),
inference(resolution,status(thm),[product_left_cancellation,product_idempotence]) ).
cnf(element_2,axiom,
group_element(e_2),
input ).
cnf(element_1,axiom,
group_element(e_1),
input ).
cnf(product_total_function1,axiom,
( ~ group_element(X11)
| ~ group_element(X12)
| product(X11,X12,e_1)
| product(X11,X12,e_2)
| product(X11,X12,e_3)
| product(X11,X12,e_4) ),
input ).
cnf(c2,plain,
( ~ group_element(X37)
| product(X37,e_1,e_1)
| product(X37,e_1,e_2)
| product(X37,e_1,e_3)
| product(X37,e_1,e_4) ),
inference(resolution,status(thm),[product_total_function1,element_1]) ).
cnf(c14,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_4) ),
inference(resolution,status(thm),[c2,element_2]) ).
cnf(c29,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_4)
| equalish(e_2,e_1) ),
inference(resolution,status(thm),[c14,c9]) ).
cnf(c89,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_4) ),
inference(resolution,status(thm),[c29,e_2_is_not_e_1]) ).
cnf(c90,plain,
( product(e_2,e_1,e_3)
| product(e_2,e_1,e_4)
| equalish(e_1,e_2) ),
inference(resolution,status(thm),[c89,c7]) ).
cnf(c116,plain,
( product(e_2,e_1,e_3)
| product(e_2,e_1,e_4) ),
inference(resolution,status(thm),[c90,e_1_is_not_e_2]) ).
cnf(c122,plain,
( product(e_2,e_1,e_3)
| ~ next(e_2,X42)
| ~ greater(e_4,X42) ),
inference(resolution,status(thm),[c116,no_redundancy]) ).
cnf(c151,plain,
( product(e_2,e_1,e_3)
| ~ next(e_2,e_3) ),
inference(resolution,status(thm),[c122,e_4_greater_e_3]) ).
cnf(c154,plain,
product(e_2,e_1,e_3),
inference(resolution,status(thm),[c151,e_2_then_e_3]) ).
cnf(c156,plain,
( ~ product(X44,e_1,e_3)
| equalish(X44,e_2) ),
inference(resolution,status(thm),[c154,product_left_cancellation]) ).
cnf(e_4_is_not_e_1,axiom,
~ equalish(e_4,e_1),
input ).
cnf(element_4,axiom,
group_element(e_4),
input ).
cnf(c16,plain,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4) ),
inference(resolution,status(thm),[c2,element_4]) ).
cnf(c129,plain,
( product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| equalish(e_4,e_1) ),
inference(resolution,status(thm),[c16,c9]) ).
cnf(c436,plain,
( product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4) ),
inference(resolution,status(thm),[c129,e_4_is_not_e_1]) ).
cnf(c443,plain,
( product(e_4,e_1,e_2)
| product(e_4,e_1,e_4)
| equalish(e_4,e_2) ),
inference(resolution,status(thm),[c436,c156]) ).
cnf(c469,plain,
( product(e_4,e_1,e_2)
| product(e_4,e_1,e_4) ),
inference(resolution,status(thm),[c443,e_4_is_not_e_2]) ).
cnf(c476,plain,
( product(e_4,e_1,e_2)
| equalish(e_1,e_4) ),
inference(resolution,status(thm),[c469,c7]) ).
cnf(c489,plain,
product(e_4,e_1,e_2),
inference(resolution,status(thm),[c476,e_1_is_not_e_4]) ).
cnf(c493,plain,
( ~ product(e_4,X127,e_2)
| equalish(X127,e_1) ),
inference(resolution,status(thm),[c489,product_right_cancellation]) ).
cnf(qg4,negated_conjecture,
( ~ product(X30,X32,X33)
| ~ product(X32,X30,X31)
| product(X33,X31,X32) ),
input ).
cnf(c158,plain,
( ~ product(e_1,e_2,X47)
| product(X47,e_3,e_2) ),
inference(resolution,status(thm),[c154,qg4]) ).
cnf(e_2_is_not_e_3,axiom,
~ equalish(e_2,e_3),
input ).
cnf(product_total_function2,axiom,
( ~ product(X7,X9,X10)
| ~ product(X7,X9,X8)
| equalish(X10,X8) ),
input ).
cnf(c1,plain,
( ~ product(X14,X14,X13)
| equalish(X13,X14) ),
inference(resolution,status(thm),[product_total_function2,product_idempotence]) ).
cnf(c3,plain,
( ~ group_element(X38)
| product(X38,e_2,e_1)
| product(X38,e_2,e_2)
| product(X38,e_2,e_3)
| product(X38,e_2,e_4) ),
inference(resolution,status(thm),[product_total_function1,element_2]) ).
cnf(c17,plain,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4) ),
inference(resolution,status(thm),[c3,element_1]) ).
cnf(c160,plain,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4)
| equalish(e_2,e_1) ),
inference(resolution,status(thm),[c17,c7]) ).
cnf(c553,plain,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4) ),
inference(resolution,status(thm),[c160,e_2_is_not_e_1]) ).
cnf(c557,plain,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_4)
| equalish(e_1,e_2) ),
inference(resolution,status(thm),[c553,c9]) ).
cnf(c580,plain,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_4) ),
inference(resolution,status(thm),[c557,e_1_is_not_e_2]) ).
cnf(c581,plain,
( product(e_1,e_2,e_4)
| product(e_3,e_3,e_2) ),
inference(resolution,status(thm),[c580,c158]) ).
cnf(c598,plain,
( product(e_1,e_2,e_4)
| equalish(e_2,e_3) ),
inference(resolution,status(thm),[c581,c1]) ).
cnf(c607,plain,
product(e_1,e_2,e_4),
inference(resolution,status(thm),[c598,e_2_is_not_e_3]) ).
cnf(c608,plain,
product(e_4,e_3,e_2),
inference(resolution,status(thm),[c607,c158]) ).
cnf(c615,plain,
equalish(e_3,e_1),
inference(resolution,status(thm),[c608,c493]) ).
cnf(c618,plain,
$false,
inference(resolution,status(thm),[c615,e_3_is_not_e_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP126-2.004 : TPTP v8.1.0. Released v1.2.0.
% 0.10/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n018.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 : Mon Jun 13 23:24:28 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.61/0.83 # Version: 1.3
% 0.61/0.83 # SZS status Unsatisfiable
% 0.61/0.83 # SZS output start CNFRefutation
% See solution above
% 0.61/0.83
% 0.61/0.83 # Initial clauses : 32
% 0.61/0.83 # Processed clauses : 120
% 0.61/0.83 # Factors computed : 0
% 0.61/0.83 # Resolvents computed: 619
% 0.61/0.83 # Tautologies deleted: 0
% 0.61/0.83 # Forward subsumed : 175
% 0.61/0.83 # Backward subsumed : 44
% 0.61/0.83 # -------- CPU Time ---------
% 0.61/0.83 # User time : 0.470 s
% 0.61/0.83 # System time : 0.015 s
% 0.61/0.83 # Total time : 0.485 s
%------------------------------------------------------------------------------