%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GRP131-1.002 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n004.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 17:23:13 EDT 2024
% Result : Unsatisfiable 0.89s 1.11s
% Output : Refutation 0.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 10
% Syntax : Number of clauses : 42 ( 9 unt; 25 nHn; 42 RR)
% Number of literals : 106 ( 0 equ; 38 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 : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 44 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(e_2_is_not_e_1,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_1) ).
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_left_cancellation,axiom,
( ~ product(X20,X19,X18)
| ~ product(X21,X19,X18)
| equalish(X20,X21) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation) ).
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(c1,plain,
( ~ group_element(X35)
| product(X35,X35,e_1)
| product(X35,X35,e_2) ),
inference(factor,[status(thm)],[product_total_function1]) ).
cnf(c10,plain,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[c1,element_2]) ).
cnf(c64,plain,
( product(e_2,e_2,e_1)
| ~ product(X104,e_2,e_2)
| equalish(X104,e_2) ),
inference(resolution,[status(thm)],[c10,product_left_cancellation]) ).
cnf(product_total_function2,axiom,
( ~ product(X2,X3,X4)
| ~ product(X2,X3,X5)
| equalish(X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function2) ).
cnf(product_right_cancellation,axiom,
( ~ product(X11,X13,X12)
| ~ product(X11,X14,X12)
| equalish(X13,X14) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation) ).
cnf(element_1,axiom,
group_element(e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_1) ).
cnf(c9,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[c1,element_1]) ).
cnf(c15,plain,
( product(e_1,e_1,e_2)
| ~ product(e_1,X63,e_1)
| equalish(X63,e_1) ),
inference(resolution,[status(thm)],[c9,product_right_cancellation]) ).
cnf(c3,plain,
( ~ group_element(X43)
| product(X43,e_2,e_1)
| product(X43,e_2,e_2) ),
inference(resolution,[status(thm)],[product_total_function1,element_2]) ).
cnf(c47,plain,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[c3,element_1]) ).
cnf(c102,plain,
( product(e_1,e_2,e_2)
| product(e_1,e_1,e_2)
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[c47,c15]) ).
cnf(c257,plain,
( product(e_1,e_2,e_2)
| product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[c102,e_2_is_not_e_1]) ).
cnf(c284,plain,
( product(e_1,e_2,e_2)
| ~ product(e_1,e_1,X159)
| equalish(X159,e_2) ),
inference(resolution,[status(thm)],[c257,product_total_function2]) ).
cnf(c22,plain,
( product(e_1,e_1,e_1)
| ~ product(e_1,X77,e_2)
| equalish(X77,e_1) ),
inference(resolution,[status(thm)],[c9,product_right_cancellation]) ).
cnf(c133,plain,
( product(e_1,e_1,e_1)
| equalish(e_2,e_1)
| product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[c22,c47]) ).
cnf(c492,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[c133,e_2_is_not_e_1]) ).
cnf(c2,plain,
( ~ group_element(X42)
| product(X42,e_1,e_1)
| product(X42,e_1,e_2) ),
inference(resolution,[status(thm)],[product_total_function1,element_1]) ).
cnf(c38,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[c2,element_2]) ).
cnf(c24,plain,
( product(e_1,e_1,e_1)
| ~ product(X92,e_1,e_2)
| equalish(X92,e_1) ),
inference(resolution,[status(thm)],[c9,product_left_cancellation]) ).
cnf(c147,plain,
( product(e_1,e_1,e_1)
| equalish(e_2,e_1)
| product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[c24,c38]) ).
cnf(c634,plain,
( product(e_1,e_1,e_1)
| product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[c147,e_2_is_not_e_1]) ).
cnf(qg1_1,negated_conjecture,
( ~ product(X29,X25,X27)
| ~ product(X28,X26,X27)
| ~ product(X30,X25,X29)
| ~ product(X30,X26,X28)
| equalish(X29,X28) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg1_1) ).
cnf(c18,plain,
( product(e_1,e_1,e_1)
| ~ product(X69,X71,X70)
| ~ product(e_2,e_1,X70)
| ~ product(e_1,X71,X69)
| equalish(X69,e_2) ),
inference(resolution,[status(thm)],[c9,qg1_1]) ).
cnf(c127,plain,
( product(e_1,e_1,e_1)
| ~ product(e_1,X221,e_1)
| ~ product(e_2,e_1,e_1)
| equalish(e_1,e_2) ),
inference(factor,[status(thm)],[c18]) ).
cnf(c899,plain,
( product(e_1,e_1,e_1)
| ~ product(e_1,X232,e_1)
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[c127,c634]) ).
cnf(c939,plain,
( product(e_1,e_1,e_1)
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[c899,c492]) ).
cnf(c947,plain,
( equalish(e_1,e_2)
| product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[c939,c284]) ).
cnf(c1041,plain,
( equalish(e_1,e_2)
| product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[c947,c64]) ).
cnf(c1150,plain,
product(e_2,e_2,e_1),
inference(resolution,[status(thm)],[c1041,e_1_is_not_e_2]) ).
cnf(c981,plain,
product(e_1,e_1,e_1),
inference(resolution,[status(thm)],[c939,e_1_is_not_e_2]) ).
cnf(qg1_2,negated_conjecture,
( ~ product(X40,X36,X38)
| ~ product(X39,X37,X38)
| ~ product(X41,X36,X40)
| ~ product(X41,X37,X39)
| equalish(X36,X37) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg1_2) ).
cnf(c33,plain,
( ~ product(X83,X84,X85)
| ~ product(X85,X82,X85)
| ~ product(X85,X84,X83)
| equalish(X84,X82) ),
inference(factor,[status(thm)],[qg1_2]) ).
cnf(c1025,plain,
product(e_1,e_2,e_2),
inference(resolution,[status(thm)],[c947,e_1_is_not_e_2]) ).
cnf(c1059,plain,
( ~ product(e_2,e_2,e_1)
| ~ product(e_1,X274,e_1)
| equalish(e_2,X274) ),
inference(resolution,[status(thm)],[c1025,c33]) ).
cnf(c1191,plain,
( ~ product(e_2,e_2,e_1)
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[c1059,c981]) ).
cnf(c1192,plain,
equalish(e_2,e_1),
inference(resolution,[status(thm)],[c1191,c1150]) ).
cnf(c1194,plain,
$false,
inference(resolution,[status(thm)],[c1192,e_2_is_not_e_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP131-1.002 : TPTP v8.1.2. Released v1.2.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n004.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu May 9 04:52:23 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.89/1.11 % Version: 1.5
% 0.89/1.11 % SZS status Unsatisfiable
% 0.89/1.11 % SZS output start CNFRefutation
% See solution above
% 0.89/1.11
% 0.89/1.11 % Initial clauses : 10
% 0.89/1.11 % Processed clauses : 143
% 0.89/1.11 % Factors computed : 38
% 0.89/1.11 % Resolvents computed: 1157
% 0.89/1.11 % Tautologies deleted: 0
% 0.89/1.11 % Forward subsumed : 338
% 0.89/1.11 % Backward subsumed : 95
% 0.89/1.11 % -------- CPU Time ---------
% 0.89/1.11 % User time : 0.718 s
% 0.89/1.11 % System time : 0.022 s
% 0.89/1.11 % Total time : 0.740 s
%------------------------------------------------------------------------------