TSTP Solution File: GRP123-1.003 by PyRes---1.5
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%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GRP123-1.003 : TPTP v8.1.2. 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 : 300s
% DateTime : Thu May 9 17:23:01 EDT 2024
% Result : Unsatisfiable 0.40s 0.63s
% Output : Refutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 13
% Syntax : Number of clauses : 31 ( 13 unt; 10 nHn; 30 RR)
% Number of literals : 66 ( 0 equ; 24 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 27 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(e_2_is_not_e_3,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_3) ).
cnf(product_idempotence,axiom,
product(X2,X2,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_idempotence) ).
cnf(product_left_cancellation,axiom,
( ~ product(X20,X21,X22)
| ~ product(X23,X21,X22)
| equalish(X20,X23) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_left_cancellation) ).
cnf(c11,plain,
( ~ product(X33,X34,X34)
| equalish(X33,X34) ),
inference(resolution,[status(thm)],[product_left_cancellation,product_idempotence]) ).
cnf(e_2_is_not_e_1,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_1) ).
cnf(qg1_1,negated_conjecture,
( ~ product(X40,X35,X39)
| ~ product(X38,X37,X39)
| ~ product(X36,X35,X40)
| ~ product(X36,X37,X38)
| equalish(X40,X38) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg1_1) ).
cnf(c17,plain,
( ~ product(X70,X73,X71)
| ~ product(X72,X72,X71)
| ~ product(X72,X73,X70)
| equalish(X70,X72) ),
inference(resolution,[status(thm)],[qg1_1,product_idempotence]) ).
cnf(e_1_is_not_e_3,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_3) ).
cnf(e_3_is_not_e_1,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_1) ).
cnf(product_right_cancellation,axiom,
( ~ product(X18,X16,X17)
| ~ product(X18,X19,X17)
| equalish(X16,X19) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_right_cancellation) ).
cnf(c9,plain,
( ~ product(X28,X27,X28)
| equalish(X27,X28) ),
inference(resolution,[status(thm)],[product_right_cancellation,product_idempotence]) ).
cnf(element_1,axiom,
group_element(e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_1) ).
cnf(element_3,axiom,
group_element(e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_3) ).
cnf(product_total_function1,axiom,
( ~ group_element(X8)
| ~ group_element(X7)
| product(X8,X7,e_1)
| product(X8,X7,e_2)
| product(X8,X7,e_3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_total_function1) ).
cnf(c3,plain,
( ~ group_element(X90)
| product(X90,e_3,e_1)
| product(X90,e_3,e_2)
| product(X90,e_3,e_3) ),
inference(resolution,[status(thm)],[product_total_function1,element_3]) ).
cnf(c35,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[c3,element_1]) ).
cnf(c49,plain,
( product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[c35,c9]) ).
cnf(c94,plain,
( product(e_1,e_3,e_2)
| product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[c49,e_3_is_not_e_1]) ).
cnf(c107,plain,
( product(e_1,e_3,e_2)
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[c94,c11]) ).
cnf(c123,plain,
product(e_1,e_3,e_2),
inference(resolution,[status(thm)],[c107,e_1_is_not_e_3]) ).
cnf(c125,plain,
( ~ product(e_2,e_3,X120)
| ~ product(e_1,e_1,X120)
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[c123,c17]) ).
cnf(c224,plain,
( ~ product(e_2,e_3,e_1)
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[c125,product_idempotence]) ).
cnf(e_3_is_not_e_2,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_2) ).
cnf(element_2,axiom,
group_element(e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_2) ).
cnf(c36,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[c3,element_2]) ).
cnf(c145,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_3)
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[c36,c9]) ).
cnf(c279,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[c145,e_3_is_not_e_2]) ).
cnf(c314,plain,
( product(e_2,e_3,e_3)
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[c279,c224]) ).
cnf(c342,plain,
product(e_2,e_3,e_3),
inference(resolution,[status(thm)],[c314,e_2_is_not_e_1]) ).
cnf(c346,plain,
equalish(e_2,e_3),
inference(resolution,[status(thm)],[c342,c11]) ).
cnf(c353,plain,
$false,
inference(resolution,[status(thm)],[c346,e_2_is_not_e_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP123-1.003 : TPTP v8.1.2. Released v1.2.0.
% 0.04/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu May 9 03:30:38 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.40/0.63 % Version: 1.5
% 0.40/0.63 % SZS status Unsatisfiable
% 0.40/0.63 % SZS output start CNFRefutation
% See solution above
% 0.40/0.63
% 0.40/0.63 % Initial clauses : 16
% 0.40/0.63 % Processed clauses : 52
% 0.40/0.63 % Factors computed : 18
% 0.40/0.63 % Resolvents computed: 336
% 0.40/0.63 % Tautologies deleted: 0
% 0.40/0.63 % Forward subsumed : 42
% 0.40/0.63 % Backward subsumed : 9
% 0.40/0.63 % -------- CPU Time ---------
% 0.40/0.63 % User time : 0.278 s
% 0.40/0.63 % System time : 0.015 s
% 0.40/0.63 % Total time : 0.293 s
%------------------------------------------------------------------------------