%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GRP123-8.003 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n021.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 0.76s 0.97s
% Output : Refutation 0.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 15
% Syntax : Number of clauses : 34 ( 15 unt; 10 nHn; 32 RR)
% Number of literals : 66 ( 0 equ; 21 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 : 29 ( 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(X57,X55,X54)
| ~ product2(X57,X55,X56)
| equalish(X54,X56) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product2_total_function2) ).
cnf(c29,plain,
( ~ product2(X61,X61,X62)
| equalish(X62,X61) ),
inference(resolution,[status(thm)],[product2_total_function2,product2_idempotence]) ).
cnf(qg1a,negated_conjecture,
( ~ product1(X93,X91,X90)
| ~ product1(X90,X91,X92)
| product2(X92,X93,X91) ),
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(X30,X27,X28)
| ~ product1(X30,X29,X28)
| equalish(X27,X29) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product1_right_cancellation) ).
cnf(c16,plain,
( ~ product1(X39,X40,X39)
| equalish(X40,X39) ),
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(X42,X45,X43)
| ~ product1(X44,X45,X43)
| equalish(X42,X44) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product1_left_cancellation) ).
cnf(c26,plain,
( ~ product1(X49,X50,X50)
| equalish(X49,X50) ),
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(X83)
| ~ group_element(X82)
| product1(X83,X82,e_1)
| product1(X83,X82,e_2)
| product1(X83,X82,e_3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product1_total_function1) ).
cnf(c37,plain,
( ~ group_element(X165)
| product1(X165,e_1,e_1)
| product1(X165,e_1,e_2)
| product1(X165,e_1,e_3) ),
inference(resolution,[status(thm)],[product1_total_function1,element_1]) ).
cnf(c179,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)],[c37,element_2]) ).
cnf(c350,plain,
( product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[c179,c26]) ).
cnf(c373,plain,
( product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[c350,e_2_is_not_e_1]) ).
cnf(c377,plain,
( product1(e_2,e_1,e_3)
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[c373,c16]) ).
cnf(c388,plain,
product1(e_2,e_1,e_3),
inference(resolution,[status(thm)],[c377,e_1_is_not_e_2]) ).
cnf(c392,plain,
( ~ product1(X231,e_1,e_2)
| product2(e_3,X231,e_1) ),
inference(resolution,[status(thm)],[c388,qg1a]) ).
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(c389,plain,
( ~ product1(X228,e_1,e_3)
| equalish(X228,e_2) ),
inference(resolution,[status(thm)],[c388,product1_left_cancellation]) ).
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(c180,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)],[c37,element_3]) ).
cnf(c396,plain,
( product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[c180,c26]) ).
cnf(c442,plain,
( product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[c396,e_3_is_not_e_1]) ).
cnf(c451,plain,
( product1(e_3,e_1,e_2)
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[c442,c389]) ).
cnf(c476,plain,
product1(e_3,e_1,e_2),
inference(resolution,[status(thm)],[c451,e_3_is_not_e_2]) ).
cnf(c479,plain,
product2(e_3,e_3,e_1),
inference(resolution,[status(thm)],[c476,c392]) ).
cnf(c485,plain,
equalish(e_1,e_3),
inference(resolution,[status(thm)],[c479,c29]) ).
cnf(c486,plain,
$false,
inference(resolution,[status(thm)],[c485,e_1_is_not_e_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14 % Problem : GRP123-8.003 : TPTP v8.1.2. Released v1.2.0.
% 0.09/0.15 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.36 % Computer : n021.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Thu May 9 03:31:23 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.76/0.97 % Version: 1.5
% 0.76/0.97 % SZS status Unsatisfiable
% 0.76/0.97 % SZS output start CNFRefutation
% See solution above
% 0.76/0.97
% 0.76/0.97 % Initial clauses : 36
% 0.76/0.97 % Processed clauses : 211
% 0.76/0.97 % Factors computed : 12
% 0.76/0.97 % Resolvents computed: 475
% 0.76/0.97 % Tautologies deleted: 2
% 0.76/0.97 % Forward subsumed : 121
% 0.76/0.97 % Backward subsumed : 58
% 0.76/0.97 % -------- CPU Time ---------
% 0.76/0.97 % User time : 0.573 s
% 0.76/0.97 % System time : 0.014 s
% 0.76/0.97 % Total time : 0.587 s
%------------------------------------------------------------------------------