TSTP Solution File: GRP132-2.002 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GRP132-2.002 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n016.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 11:22:07 EDT 2022
% Result : Unsatisfiable 2.19s 2.37s
% Output : Refutation 2.19s
% 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_total_function2,axiom,
( ~ product(X8,X6,X5)
| ~ product(X8,X6,X7)
| equalish(X5,X7) ),
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(X18)
| ~ group_element(X17)
| product(X18,X17,e_1)
| product(X18,X17,e_2) ),
input ).
cnf(c1,plain,
( ~ group_element(X26)
| product(X26,e_2,e_1)
| product(X26,e_2,e_2) ),
inference(resolution,status(thm),[product_total_function1,element_2]) ).
cnf(c24,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(X12,X9,X10)
| ~ product(X12,X11,X10)
| equalish(X9,X11) ),
input ).
cnf(c0,plain,
( ~ group_element(X25)
| product(X25,e_1,e_1)
| product(X25,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(c12,plain,
( product(e_1,e_1,e_1)
| ~ product(e_1,X53,e_2)
| equalish(X53,e_1) ),
inference(resolution,status(thm),[c2,product_right_cancellation]) ).
cnf(c100,plain,
( product(e_1,e_1,e_1)
| equalish(e_2,e_1)
| product(e_1,e_2,e_1) ),
inference(resolution,status(thm),[c12,c24]) ).
cnf(c571,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_2,e_1) ),
inference(resolution,status(thm),[c100,e_2_is_not_e_1]) ).
cnf(c632,plain,
( product(e_1,e_1,e_1)
| ~ product(e_1,e_2,X183)
| equalish(X183,e_1) ),
inference(resolution,status(thm),[c571,product_total_function2]) ).
cnf(e_1_is_not_e_2,axiom,
~ equalish(e_1,e_2),
input ).
cnf(product_left_cancellation,axiom,
( ~ product(X13,X14,X16)
| ~ product(X15,X14,X16)
| equalish(X13,X15) ),
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(c20,plain,
( product(e_2,e_1,e_1)
| ~ product(X68,e_1,e_2)
| equalish(X68,e_2) ),
inference(resolution,status(thm),[c3,product_left_cancellation]) ).
cnf(c7,plain,
( product(e_1,e_1,e_2)
| ~ product(e_1,X42,e_1)
| equalish(X42,e_1) ),
inference(resolution,status(thm),[c2,product_right_cancellation]) ).
cnf(c71,plain,
( product(e_1,e_1,e_2)
| equalish(e_2,e_1)
| product(e_1,e_2,e_2) ),
inference(resolution,status(thm),[c7,c24]) ).
cnf(c338,plain,
( product(e_1,e_1,e_2)
| product(e_1,e_2,e_2) ),
inference(resolution,status(thm),[c71,e_2_is_not_e_1]) ).
cnf(c380,plain,
( product(e_1,e_2,e_2)
| product(e_2,e_1,e_1)
| equalish(e_1,e_2) ),
inference(resolution,status(thm),[c338,c20]) ).
cnf(c1667,plain,
( product(e_1,e_2,e_2)
| product(e_2,e_1,e_1) ),
inference(resolution,status(thm),[c380,e_1_is_not_e_2]) ).
cnf(qg2_2,negated_conjecture,
( ~ product(X30,X28,X29)
| ~ product(X32,X31,X29)
| ~ product(X27,X30,X28)
| ~ product(X27,X32,X31)
| equalish(X28,X31) ),
input ).
cnf(c37,plain,
( ~ product(X102,X100,X101)
| ~ product(e_2,e_1,X101)
| ~ product(e_1,X102,X100)
| equalish(X100,e_1)
| product(e_1,e_2,e_2) ),
inference(resolution,status(thm),[qg2_2,c24]) ).
cnf(c324,plain,
( equalish(e_2,e_1)
| product(e_1,e_2,e_2)
| ~ product(e_1,e_2,X364)
| ~ product(e_2,e_1,X364) ),
inference(resolution,status(thm),[c71,c37]) ).
cnf(c2169,plain,
( equalish(e_2,e_1)
| product(e_1,e_2,e_2)
| ~ product(e_1,e_2,e_1) ),
inference(resolution,status(thm),[c324,c1667]) ).
cnf(c2329,plain,
( equalish(e_2,e_1)
| product(e_1,e_2,e_2) ),
inference(resolution,status(thm),[c2169,c24]) ).
cnf(c2357,plain,
( equalish(e_2,e_1)
| product(e_1,e_1,e_1) ),
inference(resolution,status(thm),[c2329,c632]) ).
cnf(c2515,plain,
product(e_1,e_1,e_1),
inference(resolution,status(thm),[c2357,e_2_is_not_e_1]) ).
cnf(c2573,plain,
( ~ product(e_1,e_1,X445)
| equalish(X445,e_1) ),
inference(resolution,status(thm),[c2515,product_total_function2]) ).
cnf(c25,plain,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2) ),
inference(resolution,status(thm),[c1,element_2]) ).
cnf(c48,plain,
( product(e_2,e_2,e_1)
| ~ product(e_2,X93,e_2)
| equalish(X93,e_2) ),
inference(resolution,status(thm),[c25,product_right_cancellation]) ).
cnf(c5,plain,
( product(e_1,e_1,e_2)
| ~ product(X39,e_1,e_1)
| equalish(X39,e_1) ),
inference(resolution,status(thm),[c2,product_left_cancellation]) ).
cnf(c63,plain,
( product(e_1,e_1,e_2)
| equalish(e_2,e_1)
| product(e_2,e_1,e_2) ),
inference(resolution,status(thm),[c5,c3]) ).
cnf(c224,plain,
( product(e_1,e_1,e_2)
| product(e_2,e_1,e_2) ),
inference(resolution,status(thm),[c63,e_2_is_not_e_1]) ).
cnf(c283,plain,
( product(e_1,e_1,e_2)
| product(e_2,e_2,e_1)
| equalish(e_1,e_2) ),
inference(resolution,status(thm),[c224,c48]) ).
cnf(c1483,plain,
( product(e_1,e_1,e_2)
| product(e_2,e_2,e_1) ),
inference(resolution,status(thm),[c283,e_1_is_not_e_2]) ).
cnf(c1518,plain,
( product(e_2,e_2,e_1)
| ~ product(e_1,X246,e_2)
| equalish(X246,e_1) ),
inference(resolution,status(thm),[c1483,product_right_cancellation]) ).
cnf(c2375,plain,
( equalish(e_2,e_1)
| product(e_2,e_2,e_1) ),
inference(resolution,status(thm),[c2329,c1518]) ).
cnf(c2585,plain,
product(e_2,e_2,e_1),
inference(resolution,status(thm),[c2375,e_2_is_not_e_1]) ).
cnf(c34,plain,
( ~ product(X90,X88,X89)
| ~ product(e_1,e_1,X89)
| ~ product(e_1,X90,X88)
| equalish(X88,e_1)
| product(e_1,e_1,e_2) ),
inference(resolution,status(thm),[qg2_2,c2]) ).
cnf(c344,plain,
( product(e_1,e_1,e_2)
| equalish(e_2,e_1)
| ~ product(e_2,e_2,X376)
| ~ product(e_1,e_1,X376) ),
inference(resolution,status(thm),[c71,c34]) ).
cnf(c2197,plain,
( product(e_1,e_1,e_2)
| equalish(e_2,e_1)
| ~ product(e_2,e_2,e_1) ),
inference(resolution,status(thm),[c344,c2]) ).
cnf(c2651,plain,
( product(e_1,e_1,e_2)
| equalish(e_2,e_1) ),
inference(resolution,status(thm),[c2197,c2585]) ).
cnf(c2659,plain,
equalish(e_2,e_1),
inference(resolution,status(thm),[c2651,c2573]) ).
cnf(c2670,plain,
$false,
inference(resolution,status(thm),[c2659,e_2_is_not_e_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP132-2.002 : TPTP v8.1.0. Released v1.2.0.
% 0.06/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34 % Computer : n016.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jun 13 20:02:15 EDT 2022
% 0.12/0.34 % CPUTime :
% 2.19/2.37 # Version: 1.3
% 2.19/2.37 # SZS status Unsatisfiable
% 2.19/2.37 # SZS output start CNFRefutation
% See solution above
% 2.19/2.37
% 2.19/2.37 # Initial clauses : 13
% 2.19/2.37 # Processed clauses : 260
% 2.19/2.37 # Factors computed : 0
% 2.19/2.37 # Resolvents computed: 2671
% 2.19/2.37 # Tautologies deleted: 0
% 2.19/2.37 # Forward subsumed : 1284
% 2.19/2.37 # Backward subsumed : 205
% 2.19/2.37 # -------- CPU Time ---------
% 2.19/2.37 # User time : 2.010 s
% 2.19/2.37 # System time : 0.018 s
% 2.19/2.37 # Total time : 2.028 s
%------------------------------------------------------------------------------