%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GRP123-6.003 : 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 0.19s 0.58s
% Output : Refutation 0.19s
% 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(X39,X42,X41)
| ~ product2(X39,X42,X40)
| equalish(X41,X40) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product2_total_function2) ).
cnf(c19,plain,
( ~ product2(X46,X46,X47)
| equalish(X47,X46) ),
inference(resolution,[status(thm)],[product2_total_function2,product2_idempotence]) ).
cnf(qg1a,negated_conjecture,
( ~ product1(X63,X66,X65)
| ~ product1(X65,X66,X64)
| product2(X64,X63,X66) ),
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(X17,X19,X20)
| ~ product1(X17,X18,X20)
| equalish(X19,X18) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product1_right_cancellation) ).
cnf(c9,plain,
( ~ product1(X24,X25,X24)
| equalish(X25,X24) ),
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(X29,X30,X27)
| ~ product1(X28,X30,X27)
| equalish(X29,X28) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product1_left_cancellation) ).
cnf(c12,plain,
( ~ product1(X36,X37,X37)
| equalish(X36,X37) ),
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(X4)
| ~ group_element(X5)
| product1(X4,X5,e_1)
| product1(X4,X5,e_2)
| product1(X4,X5,e_3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product1_total_function1) ).
cnf(c1,plain,
( ~ group_element(X81)
| product1(X81,e_1,e_1)
| product1(X81,e_1,e_2)
| product1(X81,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(c60,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)],[c60,e_2_is_not_e_1]) ).
cnf(c103,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)],[c103,e_1_is_not_e_2]) ).
cnf(c114,plain,
( ~ product1(X90,e_1,e_2)
| product2(e_3,X90,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(c76,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)],[c76,e_3_is_not_e_1]) ).
cnf(c210,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)],[c210,e_1_is_not_e_3]) ).
cnf(c222,plain,
product2(e_3,e_3,e_1),
inference(resolution,[status(thm)],[c217,c114]) ).
cnf(c224,plain,
equalish(e_1,e_3),
inference(resolution,[status(thm)],[c222,c19]) ).
cnf(c227,plain,
$false,
inference(resolution,[status(thm)],[c224,e_1_is_not_e_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP123-6.003 : TPTP v8.1.2. Released v1.2.0.
% 0.11/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n008.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 03:58:53 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.19/0.58 % Version: 1.5
% 0.19/0.58 % SZS status Unsatisfiable
% 0.19/0.58 % SZS output start CNFRefutation
% See solution above
% 0.19/0.58
% 0.19/0.58 % Initial clauses : 20
% 0.19/0.58 % Processed clauses : 58
% 0.19/0.58 % Factors computed : 9
% 0.19/0.58 % Resolvents computed: 219
% 0.19/0.58 % Tautologies deleted: 0
% 0.19/0.58 % Forward subsumed : 38
% 0.19/0.58 % Backward subsumed : 9
% 0.19/0.58 % -------- CPU Time ---------
% 0.19/0.58 % User time : 0.221 s
% 0.19/0.58 % System time : 0.018 s
% 0.19/0.58 % Total time : 0.239 s
%------------------------------------------------------------------------------