TSTP Solution File: GRP123-7.003 by PyRes---1.5
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%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GRP123-7.003 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n008.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 17:23:03 EDT 2024
% Result : Unsatisfiable 0.44s 0.60s
% Output : Refutation 0.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of clauses : 32 ( 14 unt; 10 nHn; 30 RR)
% Number of literals : 63 ( 0 equ; 19 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 28 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
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(product2_idempotence,axiom,
product2(X3,X3,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product2_idempotence) ).
cnf(product2_total_function2,axiom,
( ~ product2(X43,X45,X44)
| ~ product2(X43,X45,X42)
| equalish(X44,X42) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product2_total_function2) ).
cnf(c19,plain,
( ~ product2(X49,X49,X50)
| equalish(X50,X49) ),
inference(resolution,[status(thm)],[product2_total_function2,product2_idempotence]) ).
cnf(qg1a,negated_conjecture,
( ~ product1(X67,X68,X66)
| ~ product1(X66,X68,X69)
| product2(X69,X67,X68) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg1a) ).
cnf(e_1_is_not_e_2,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_2) ).
cnf(product1_idempotence,axiom,
product1(X2,X2,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product1_idempotence) ).
cnf(product1_right_cancellation,axiom,
( ~ product1(X21,X22,X23)
| ~ product1(X21,X20,X23)
| equalish(X22,X20) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product1_right_cancellation) ).
cnf(c9,plain,
( ~ product1(X27,X28,X27)
| equalish(X28,X27) ),
inference(resolution,[status(thm)],[product1_right_cancellation,product1_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(product1_left_cancellation,axiom,
( ~ product1(X32,X33,X31)
| ~ product1(X30,X33,X31)
| equalish(X32,X30) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product1_left_cancellation) ).
cnf(c12,plain,
( ~ product1(X40,X39,X39)
| equalish(X40,X39) ),
inference(resolution,[status(thm)],[product1_left_cancellation,product1_idempotence]) ).
cnf(element_2,axiom,
group_element(e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_2) ).
cnf(element_1,axiom,
group_element(e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_1) ).
cnf(product1_total_function1,axiom,
( ~ group_element(X7)
| ~ group_element(X8)
| product1(X7,X8,e_1)
| product1(X7,X8,e_2)
| product1(X7,X8,e_3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product1_total_function1) ).
cnf(c1,plain,
( ~ group_element(X84)
| product1(X84,e_1,e_1)
| product1(X84,e_1,e_2)
| product1(X84,e_1,e_3) ),
inference(resolution,[status(thm)],[product1_total_function1,element_1]) ).
cnf(c38,plain,
( product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[c1,element_2]) ).
cnf(c55,plain,
( product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[c38,c12]) ).
cnf(c97,plain,
( product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[c55,e_2_is_not_e_1]) ).
cnf(c98,plain,
( product1(e_2,e_1,e_3)
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[c97,c9]) ).
cnf(c112,plain,
product1(e_2,e_1,e_3),
inference(resolution,[status(thm)],[c98,e_1_is_not_e_2]) ).
cnf(c115,plain,
( ~ product1(X93,e_1,e_2)
| product2(e_3,X93,e_1) ),
inference(resolution,[status(thm)],[c112,qg1a]) ).
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(element_3,axiom,
group_element(e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_3) ).
cnf(c39,plain,
( product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[c1,element_3]) ).
cnf(c71,plain,
( product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[c39,c12]) ).
cnf(c182,plain,
( product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[c71,e_3_is_not_e_1]) ).
cnf(c205,plain,
( product1(e_3,e_1,e_2)
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[c182,c9]) ).
cnf(c217,plain,
product1(e_3,e_1,e_2),
inference(resolution,[status(thm)],[c205,e_1_is_not_e_3]) ).
cnf(c218,plain,
product2(e_3,e_3,e_1),
inference(resolution,[status(thm)],[c217,c115]) ).
cnf(c225,plain,
equalish(e_1,e_3),
inference(resolution,[status(thm)],[c218,c19]) ).
cnf(c227,plain,
$false,
inference(resolution,[status(thm)],[c225,e_1_is_not_e_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP123-7.003 : TPTP v8.1.2. Released v1.2.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34 % Computer : n008.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 : 300
% 0.12/0.34 % DateTime : Thu May 9 03:52:53 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.44/0.60 % Version: 1.5
% 0.44/0.60 % SZS status Unsatisfiable
% 0.44/0.60 % SZS output start CNFRefutation
% See solution above
% 0.44/0.60
% 0.44/0.60 % Initial clauses : 26
% 0.44/0.60 % Processed clauses : 64
% 0.44/0.60 % Factors computed : 9
% 0.44/0.60 % Resolvents computed: 219
% 0.44/0.60 % Tautologies deleted: 0
% 0.44/0.60 % Forward subsumed : 38
% 0.44/0.60 % Backward subsumed : 9
% 0.44/0.60 % -------- CPU Time ---------
% 0.44/0.60 % User time : 0.248 s
% 0.44/0.60 % System time : 0.013 s
% 0.44/0.60 % Total time : 0.261 s
%------------------------------------------------------------------------------