TSTP Solution File: GRP132-1.002 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GRP132-1.002 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n022.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 11:22:06 EDT 2022
% Result : Unsatisfiable 2.25s 2.48s
% Output : Refutation 2.25s
% 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_total_function2,axiom,
( ~ product(X3,X2,X4)
| ~ product(X3,X2,X5)
| equalish(X4,X5) ),
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(X23)
| product(X23,e_2,e_1)
| product(X23,e_2,e_2) ),
inference(resolution,status(thm),[product_total_function1,element_2]) ).
cnf(c20,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,X8,X9)
| ~ product(X10,X11,X9)
| equalish(X8,X11) ),
input ).
cnf(c0,plain,
( ~ group_element(X16)
| product(X16,e_1,e_1)
| product(X16,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(e_1,X37,e_2)
| equalish(X37,e_1) ),
inference(resolution,status(thm),[c2,product_right_cancellation]) ).
cnf(c65,plain,
( product(e_1,e_1,e_1)
| equalish(e_2,e_1)
| product(e_1,e_2,e_1) ),
inference(resolution,status(thm),[c8,c20]) ).
cnf(c524,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_2,e_1) ),
inference(resolution,status(thm),[c65,e_2_is_not_e_1]) ).
cnf(c572,plain,
( product(e_1,e_1,e_1)
| ~ product(e_1,e_2,X153)
| equalish(X153,e_1) ),
inference(resolution,status(thm),[c524,product_total_function2]) ).
cnf(e_1_is_not_e_2,axiom,
~ equalish(e_1,e_2),
input ).
cnf(product_left_cancellation,axiom,
( ~ product(X12,X14,X13)
| ~ product(X15,X14,X13)
| equalish(X12,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(c13,plain,
( product(e_2,e_1,e_1)
| ~ product(X48,e_1,e_2)
| equalish(X48,e_2) ),
inference(resolution,status(thm),[c3,product_left_cancellation]) ).
cnf(c5,plain,
( product(e_1,e_1,e_2)
| ~ product(e_1,X33,e_1)
| equalish(X33,e_1) ),
inference(resolution,status(thm),[c2,product_right_cancellation]) ).
cnf(c59,plain,
( product(e_1,e_1,e_2)
| equalish(e_2,e_1)
| product(e_1,e_2,e_2) ),
inference(resolution,status(thm),[c5,c20]) ).
cnf(c282,plain,
( product(e_1,e_1,e_2)
| product(e_1,e_2,e_2) ),
inference(resolution,status(thm),[c59,e_2_is_not_e_1]) ).
cnf(c307,plain,
( product(e_1,e_2,e_2)
| product(e_2,e_1,e_1)
| equalish(e_1,e_2) ),
inference(resolution,status(thm),[c282,c13]) ).
cnf(c1616,plain,
( product(e_1,e_2,e_2)
| product(e_2,e_1,e_1) ),
inference(resolution,status(thm),[c307,e_1_is_not_e_2]) ).
cnf(qg2_2,negated_conjecture,
( ~ product(X29,X26,X30)
| ~ product(X27,X25,X30)
| ~ product(X28,X29,X26)
| ~ product(X28,X27,X25)
| equalish(X26,X25) ),
input ).
cnf(c44,plain,
( ~ product(X97,X98,X99)
| ~ product(e_2,e_1,X99)
| ~ product(e_1,X97,X98)
| equalish(X98,e_1)
| product(e_1,e_2,e_2) ),
inference(resolution,status(thm),[qg2_2,c20]) ).
cnf(c273,plain,
( equalish(e_2,e_1)
| product(e_1,e_2,e_2)
| ~ product(e_1,e_2,X313)
| ~ product(e_2,e_1,X313) ),
inference(resolution,status(thm),[c59,c44]) ).
cnf(c2147,plain,
( equalish(e_2,e_1)
| product(e_1,e_2,e_2)
| ~ product(e_1,e_2,e_1) ),
inference(resolution,status(thm),[c273,c1616]) ).
cnf(c2305,plain,
( equalish(e_2,e_1)
| product(e_1,e_2,e_2) ),
inference(resolution,status(thm),[c2147,c20]) ).
cnf(c2317,plain,
( equalish(e_2,e_1)
| product(e_1,e_1,e_1) ),
inference(resolution,status(thm),[c2305,c572]) ).
cnf(c2421,plain,
product(e_1,e_1,e_1),
inference(resolution,status(thm),[c2317,e_2_is_not_e_1]) ).
cnf(c2463,plain,
( ~ product(e_1,e_1,X405)
| equalish(X405,e_1) ),
inference(resolution,status(thm),[c2421,product_total_function2]) ).
cnf(c21,plain,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2) ),
inference(resolution,status(thm),[c1,element_2]) ).
cnf(c36,plain,
( product(e_2,e_2,e_1)
| ~ product(e_2,X73,e_2)
| equalish(X73,e_2) ),
inference(resolution,status(thm),[c21,product_right_cancellation]) ).
cnf(c4,plain,
( product(e_1,e_1,e_2)
| ~ product(X24,e_1,e_1)
| equalish(X24,e_1) ),
inference(resolution,status(thm),[c2,product_left_cancellation]) ).
cnf(c38,plain,
( product(e_1,e_1,e_2)
| equalish(e_2,e_1)
| product(e_2,e_1,e_2) ),
inference(resolution,status(thm),[c4,c3]) ).
cnf(c180,plain,
( product(e_1,e_1,e_2)
| product(e_2,e_1,e_2) ),
inference(resolution,status(thm),[c38,e_2_is_not_e_1]) ).
cnf(c218,plain,
( product(e_1,e_1,e_2)
| product(e_2,e_2,e_1)
| equalish(e_1,e_2) ),
inference(resolution,status(thm),[c180,c36]) ).
cnf(c1414,plain,
( product(e_1,e_1,e_2)
| product(e_2,e_2,e_1) ),
inference(resolution,status(thm),[c218,e_1_is_not_e_2]) ).
cnf(c1436,plain,
( product(e_2,e_2,e_1)
| ~ product(e_1,X215,e_2)
| equalish(X215,e_1) ),
inference(resolution,status(thm),[c1414,product_right_cancellation]) ).
cnf(c2318,plain,
( equalish(e_2,e_1)
| product(e_2,e_2,e_1) ),
inference(resolution,status(thm),[c2305,c1436]) ).
cnf(c2506,plain,
product(e_2,e_2,e_1),
inference(resolution,status(thm),[c2318,e_2_is_not_e_1]) ).
cnf(qg2_1,negated_conjecture,
( ~ product(X21,X18,X22)
| ~ product(X19,X17,X22)
| ~ product(X20,X21,X18)
| ~ product(X20,X19,X17)
| equalish(X21,X19) ),
input ).
cnf(c19,plain,
( ~ product(X70,X71,X69)
| ~ product(e_1,e_1,X69)
| ~ product(e_1,X70,X71)
| equalish(X70,e_1)
| product(e_1,e_1,e_2) ),
inference(resolution,status(thm),[qg2_1,c2]) ).
cnf(c298,plain,
( product(e_1,e_1,e_2)
| equalish(e_2,e_1)
| ~ product(e_2,e_2,X330)
| ~ product(e_1,e_1,X330) ),
inference(resolution,status(thm),[c59,c19]) ).
cnf(c2185,plain,
( product(e_1,e_1,e_2)
| equalish(e_2,e_1)
| ~ product(e_2,e_2,e_1) ),
inference(resolution,status(thm),[c298,c2]) ).
cnf(c2646,plain,
( product(e_1,e_1,e_2)
| equalish(e_2,e_1) ),
inference(resolution,status(thm),[c2185,c2506]) ).
cnf(c2658,plain,
equalish(e_2,e_1),
inference(resolution,status(thm),[c2646,c2463]) ).
cnf(c2665,plain,
$false,
inference(resolution,status(thm),[c2658,e_2_is_not_e_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP132-1.002 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n022.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 12:14:48 EDT 2022
% 0.13/0.34 % CPUTime :
% 2.25/2.48 # Version: 1.3
% 2.25/2.48 # SZS status Unsatisfiable
% 2.25/2.48 # SZS output start CNFRefutation
% See solution above
% 2.25/2.48
% 2.25/2.48 # Initial clauses : 10
% 2.25/2.48 # Processed clauses : 230
% 2.25/2.48 # Factors computed : 0
% 2.25/2.48 # Resolvents computed: 2666
% 2.25/2.48 # Tautologies deleted: 0
% 2.25/2.48 # Forward subsumed : 1262
% 2.25/2.48 # Backward subsumed : 181
% 2.25/2.48 # -------- CPU Time ---------
% 2.25/2.48 # User time : 2.085 s
% 2.25/2.48 # System time : 0.020 s
% 2.25/2.48 # Total time : 2.105 s
%------------------------------------------------------------------------------