%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GRP135-1.002 : 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 17:23:16 EDT 2024
% Result : Unsatisfiable 0.50s 0.74s
% Output : Refutation 0.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of clauses : 28 ( 9 unt; 14 nHn; 28 RR)
% Number of literals : 59 ( 0 equ; 18 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 23 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(e_1_is_not_e_2,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_2) ).
cnf(product_total_function2,axiom,
( ~ product(X2,X4,X5)
| ~ product(X2,X4,X3)
| equalish(X5,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function2) ).
cnf(qg3,negated_conjecture,
( ~ product(X27,X26,X25)
| ~ product(X25,X27,X28)
| product(X28,X27,X26) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3) ).
cnf(element_1,axiom,
group_element(e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_1) ).
cnf(element_2,axiom,
group_element(e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_2) ).
cnf(product_total_function1,axiom,
( ~ group_element(X6)
| ~ group_element(X7)
| product(X6,X7,e_1)
| product(X6,X7,e_2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1) ).
cnf(c3,plain,
( ~ group_element(X32)
| product(X32,e_2,e_1)
| product(X32,e_2,e_2) ),
inference(resolution,[status(thm)],[product_total_function1,element_2]) ).
cnf(c39,plain,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[c3,element_1]) ).
cnf(c82,plain,
( product(e_1,e_2,e_2)
| ~ product(e_2,X72,e_1)
| product(e_1,e_2,X72) ),
inference(resolution,[status(thm)],[c39,qg3]) ).
cnf(c1,plain,
( ~ group_element(X30)
| product(X30,X30,e_1)
| product(X30,X30,e_2) ),
inference(factor,[status(thm)],[product_total_function1]) ).
cnf(c8,plain,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[c1,element_2]) ).
cnf(c49,plain,
( product(e_2,e_2,e_1)
| ~ product(e_2,X56,e_2)
| product(e_2,e_2,X56) ),
inference(resolution,[status(thm)],[c8,qg3]) ).
cnf(product_left_cancellation,axiom,
( ~ product(X21,X20,X18)
| ~ product(X19,X20,X18)
| equalish(X21,X19) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation) ).
cnf(c2,plain,
( ~ group_element(X31)
| product(X31,e_1,e_1)
| product(X31,e_1,e_2) ),
inference(resolution,[status(thm)],[product_total_function1,element_1]) ).
cnf(c31,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[c2,element_2]) ).
cnf(c69,plain,
( product(e_2,e_1,e_2)
| ~ product(X62,e_1,e_1)
| equalish(X62,e_2) ),
inference(resolution,[status(thm)],[c31,product_left_cancellation]) ).
cnf(c7,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[c1,element_1]) ).
cnf(c66,plain,
( product(e_2,e_1,e_2)
| ~ product(e_1,X65,e_2)
| product(e_1,e_1,X65) ),
inference(resolution,[status(thm)],[c31,qg3]) ).
cnf(c177,plain,
( product(e_2,e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[c66,c7]) ).
cnf(c227,plain,
( product(e_2,e_1,e_2)
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[c177,c69]) ).
cnf(c298,plain,
product(e_2,e_1,e_2),
inference(resolution,[status(thm)],[c227,e_1_is_not_e_2]) ).
cnf(c302,plain,
product(e_2,e_2,e_1),
inference(resolution,[status(thm)],[c298,c49]) ).
cnf(c320,plain,
product(e_1,e_2,e_2),
inference(resolution,[status(thm)],[c302,c82]) ).
cnf(c329,plain,
( ~ product(e_1,e_2,X85)
| equalish(X85,e_2) ),
inference(resolution,[status(thm)],[c320,product_total_function2]) ).
cnf(c315,plain,
( ~ product(e_2,X93,e_2)
| product(e_1,e_2,X93) ),
inference(resolution,[status(thm)],[c302,qg3]) ).
cnf(c351,plain,
product(e_1,e_2,e_1),
inference(resolution,[status(thm)],[c315,c298]) ).
cnf(c356,plain,
equalish(e_1,e_2),
inference(resolution,[status(thm)],[c351,c329]) ).
cnf(c363,plain,
$false,
inference(resolution,[status(thm)],[c356,e_1_is_not_e_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP135-1.002 : TPTP v8.1.2. Released v1.2.0.
% 0.03/0.14 % 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
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu May 9 04:12:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.50/0.74 % Version: 1.5
% 0.50/0.74 % SZS status Unsatisfiable
% 0.50/0.74 % SZS output start CNFRefutation
% See solution above
% 0.50/0.74
% 0.50/0.74 % Initial clauses : 9
% 0.50/0.74 % Processed clauses : 82
% 0.50/0.74 % Factors computed : 5
% 0.50/0.74 % Resolvents computed: 359
% 0.50/0.74 % Tautologies deleted: 1
% 0.50/0.74 % Forward subsumed : 143
% 0.50/0.74 % Backward subsumed : 43
% 0.50/0.74 % -------- CPU Time ---------
% 0.50/0.74 % User time : 0.339 s
% 0.50/0.74 % System time : 0.017 s
% 0.50/0.74 % Total time : 0.356 s
%------------------------------------------------------------------------------