%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GRP133-2.003 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n017.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 17:23:15 EDT 2024
% Result : Unsatisfiable 4.39s 4.61s
% Output : Refutation 4.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 14
% Syntax : Number of clauses : 81 ( 15 unt; 58 nHn; 81 RR)
% Number of literals : 205 ( 0 equ; 42 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 44 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(e_2_is_not_e_3,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_3) ).
cnf(product_total_function2,axiom,
( ~ product(X6,X8,X7)
| ~ product(X6,X8,X5)
| equalish(X7,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function2) ).
cnf(qg3,negated_conjecture,
( ~ product(X28,X30,X29)
| ~ product(X30,X28,X31)
| product(X29,X31,X28) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3) ).
cnf(c7,plain,
( ~ product(X34,X34,X33)
| product(X33,X33,X34) ),
inference(factor,[status(thm)],[qg3]) ).
cnf(e_1_then_e_2,axiom,
next(e_1,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_then_e_2) ).
cnf(e_3_greater_e_2,axiom,
greater(e_3,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_greater_e_2) ).
cnf(no_redundancy,axiom,
( ~ product(X2,e_1,X3)
| ~ next(X2,X4)
| ~ greater(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',no_redundancy) ).
cnf(element_3,axiom,
group_element(e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_3) ).
cnf(product_total_function1,axiom,
( ~ group_element(X12)
| ~ group_element(X13)
| product(X12,X13,e_1)
| product(X12,X13,e_2)
| product(X12,X13,e_3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1) ).
cnf(c1,plain,
( ~ group_element(X32)
| product(X32,X32,e_1)
| product(X32,X32,e_2)
| product(X32,X32,e_3) ),
inference(factor,[status(thm)],[product_total_function1]) ).
cnf(c10,plain,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[c1,element_3]) ).
cnf(c100,plain,
( product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[c10,c7]) ).
cnf(c782,plain,
( product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| ~ next(e_1,X189)
| ~ greater(e_3,X189) ),
inference(resolution,[status(thm)],[c100,no_redundancy]) ).
cnf(c1077,plain,
( product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| ~ next(e_1,e_2) ),
inference(resolution,[status(thm)],[c782,e_3_greater_e_2]) ).
cnf(c1079,plain,
( product(e_3,e_3,e_2)
| product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[c1077,e_1_then_e_2]) ).
cnf(c1087,plain,
( product(e_3,e_3,e_3)
| product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[c1079,c7]) ).
cnf(c1140,plain,
( product(e_3,e_3,e_3)
| ~ product(e_2,e_2,X208)
| equalish(X208,e_3) ),
inference(resolution,[status(thm)],[c1087,product_total_function2]) ).
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(X23,X24,X22)
| ~ product(X21,X24,X22)
| equalish(X23,X21) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation) ).
cnf(c1143,plain,
( product(e_3,e_3,e_3)
| ~ product(X209,e_2,e_3)
| equalish(X209,e_2) ),
inference(resolution,[status(thm)],[c1087,product_left_cancellation]) ).
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(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(c3,plain,
( ~ group_element(X36)
| product(X36,e_2,e_1)
| product(X36,e_2,e_2)
| product(X36,e_2,e_3) ),
inference(resolution,[status(thm)],[product_total_function1,element_2]) ).
cnf(c14,plain,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[c3,element_1]) ).
cnf(c198,plain,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| ~ product(X204,e_2,e_1)
| equalish(X204,e_1) ),
inference(resolution,[status(thm)],[c14,product_left_cancellation]) ).
cnf(product_right_cancellation,axiom,
( ~ product(X15,X16,X17)
| ~ product(X15,X14,X17)
| equalish(X16,X14) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation) ).
cnf(c8,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[c1,element_1]) ).
cnf(c44,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| ~ next(e_1,X65)
| ~ greater(e_3,X65) ),
inference(resolution,[status(thm)],[c8,no_redundancy]) ).
cnf(c485,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| ~ next(e_1,e_2) ),
inference(resolution,[status(thm)],[c44,e_3_greater_e_2]) ).
cnf(c560,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[c485,e_1_then_e_2]) ).
cnf(c563,plain,
( product(e_1,e_1,e_2)
| ~ product(e_1,X80,e_1)
| equalish(X80,e_1) ),
inference(resolution,[status(thm)],[c560,product_right_cancellation]) ).
cnf(c673,plain,
( product(e_1,e_1,e_2)
| equalish(e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[c563,c14]) ).
cnf(c2594,plain,
( product(e_1,e_1,e_2)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[c673,e_2_is_not_e_1]) ).
cnf(c2665,plain,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[c2594,c7]) ).
cnf(c2778,plain,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[c2665,c198]) ).
cnf(c2838,plain,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[c2778,e_2_is_not_e_1]) ).
cnf(c2863,plain,
( product(e_1,e_2,e_2)
| product(e_3,e_3,e_3)
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[c2838,c1143]) ).
cnf(c3264,plain,
( product(e_1,e_2,e_2)
| product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[c2863,e_1_is_not_e_2]) ).
cnf(c3277,plain,
( product(e_3,e_3,e_3)
| ~ product(e_2,e_1,X395)
| product(X395,e_2,e_2) ),
inference(resolution,[status(thm)],[c3264,qg3]) ).
cnf(c1132,plain,
( product(e_3,e_3,e_3)
| ~ product(e_2,X206,e_3)
| equalish(X206,e_2) ),
inference(resolution,[status(thm)],[c1087,product_right_cancellation]) ).
cnf(c2,plain,
( ~ group_element(X35)
| product(X35,e_1,e_1)
| product(X35,e_1,e_2)
| product(X35,e_1,e_3) ),
inference(resolution,[status(thm)],[product_total_function1,element_1]) ).
cnf(c12,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[c2,element_2]) ).
cnf(c128,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| ~ product(e_2,X131,e_1)
| equalish(X131,e_1) ),
inference(resolution,[status(thm)],[c12,product_right_cancellation]) ).
cnf(c584,plain,
( product(e_1,e_1,e_1)
| product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[c560,c7]) ).
cnf(c611,plain,
( product(e_2,e_2,e_1)
| ~ product(X91,e_1,e_1)
| equalish(X91,e_1) ),
inference(resolution,[status(thm)],[c584,product_left_cancellation]) ).
cnf(c717,plain,
( product(e_2,e_2,e_1)
| equalish(e_2,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[c611,c12]) ).
cnf(c5676,plain,
( equalish(e_2,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[c717,c128]) ).
cnf(c5733,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[c5676,e_2_is_not_e_1]) ).
cnf(c5825,plain,
( product(e_2,e_1,e_2)
| product(e_3,e_3,e_3)
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[c5733,c1132]) ).
cnf(c6388,plain,
( product(e_2,e_1,e_2)
| product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[c5825,e_1_is_not_e_2]) ).
cnf(c6392,plain,
( product(e_3,e_3,e_3)
| product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[c6388,c3277]) ).
cnf(c6504,plain,
( product(e_3,e_3,e_3)
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[c6392,c1140]) ).
cnf(c6552,plain,
product(e_3,e_3,e_3),
inference(resolution,[status(thm)],[c6504,e_2_is_not_e_3]) ).
cnf(c6580,plain,
( ~ product(e_3,e_3,X487)
| equalish(X487,e_3) ),
inference(resolution,[status(thm)],[c6552,product_total_function2]) ).
cnf(c5789,plain,
( product(e_2,e_1,e_3)
| ~ product(e_2,X451,e_2)
| equalish(X451,e_1) ),
inference(resolution,[status(thm)],[c5733,product_right_cancellation]) ).
cnf(c9,plain,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[c1,element_2]) ).
cnf(c49,plain,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[c9,c7]) ).
cnf(c506,plain,
( product(e_2,e_2,e_2)
| product(e_1,e_1,e_2)
| product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[c49,c7]) ).
cnf(c927,plain,
( product(e_2,e_2,e_2)
| product(e_3,e_3,e_2)
| ~ product(e_1,e_1,X345)
| equalish(X345,e_2) ),
inference(resolution,[status(thm)],[c506,product_total_function2]) ).
cnf(c577,plain,
( product(e_1,e_1,e_1)
| ~ product(e_1,X84,e_2)
| equalish(X84,e_1) ),
inference(resolution,[status(thm)],[c560,product_right_cancellation]) ).
cnf(c2811,plain,
( product(e_1,e_2,e_3)
| equalish(e_2,e_1)
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[c2778,c577]) ).
cnf(c2941,plain,
( product(e_1,e_2,e_3)
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[c2811,e_2_is_not_e_1]) ).
cnf(c2980,plain,
( product(e_1,e_1,e_1)
| ~ product(e_2,e_1,X393)
| product(X393,e_3,e_2) ),
inference(resolution,[status(thm)],[c2941,qg3]) ).
cnf(c588,plain,
( product(e_1,e_1,e_1)
| ~ product(X87,e_1,e_2)
| equalish(X87,e_1) ),
inference(resolution,[status(thm)],[c560,product_left_cancellation]) ).
cnf(c5753,plain,
( equalish(e_2,e_1)
| product(e_2,e_1,e_3)
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[c5676,c588]) ).
cnf(c6064,plain,
( product(e_2,e_1,e_3)
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[c5753,e_2_is_not_e_1]) ).
cnf(c6132,plain,
( product(e_1,e_1,e_1)
| product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[c6064,c2980]) ).
cnf(c6190,plain,
( product(e_3,e_3,e_2)
| product(e_2,e_2,e_2)
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[c6132,c927]) ).
cnf(c6660,plain,
( product(e_3,e_3,e_2)
| product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[c6190,e_1_is_not_e_2]) ).
cnf(c6664,plain,
( product(e_2,e_2,e_2)
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[c6660,c6580]) ).
cnf(c6748,plain,
product(e_2,e_2,e_2),
inference(resolution,[status(thm)],[c6664,e_2_is_not_e_3]) ).
cnf(c6765,plain,
( product(e_2,e_1,e_3)
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[c6748,c5789]) ).
cnf(c6858,plain,
product(e_2,e_1,e_3),
inference(resolution,[status(thm)],[c6765,e_2_is_not_e_1]) ).
cnf(c2841,plain,
( product(e_1,e_2,e_3)
| ~ product(X372,e_2,e_2)
| equalish(X372,e_1) ),
inference(resolution,[status(thm)],[c2838,product_left_cancellation]) ).
cnf(c6758,plain,
( product(e_1,e_2,e_3)
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[c6748,c2841]) ).
cnf(c6808,plain,
product(e_1,e_2,e_3),
inference(resolution,[status(thm)],[c6758,e_2_is_not_e_1]) ).
cnf(c6814,plain,
( ~ product(e_2,e_1,X524)
| product(X524,e_3,e_2) ),
inference(resolution,[status(thm)],[c6808,qg3]) ).
cnf(c6885,plain,
product(e_3,e_3,e_2),
inference(resolution,[status(thm)],[c6814,c6858]) ).
cnf(c6888,plain,
equalish(e_2,e_3),
inference(resolution,[status(thm)],[c6885,c6580]) ).
cnf(c6900,plain,
$false,
inference(resolution,[status(thm)],[c6888,e_2_is_not_e_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP133-2.003 : TPTP v8.1.2. Released v1.2.0.
% 0.06/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34 % Computer : n017.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 03:35:53 EDT 2024
% 0.12/0.34 % CPUTime :
% 4.39/4.61 % Version: 1.5
% 4.39/4.61 % SZS status Unsatisfiable
% 4.39/4.61 % SZS output start CNFRefutation
% See solution above
% 4.39/4.61
% 4.39/4.61 % Initial clauses : 20
% 4.39/4.61 % Processed clauses : 407
% 4.39/4.61 % Factors computed : 5
% 4.39/4.61 % Resolvents computed: 6896
% 4.39/4.61 % Tautologies deleted: 0
% 4.39/4.61 % Forward subsumed : 1517
% 4.39/4.61 % Backward subsumed : 281
% 4.39/4.61 % -------- CPU Time ---------
% 4.39/4.61 % User time : 4.246 s
% 4.39/4.61 % System time : 0.024 s
% 4.39/4.61 % Total time : 4.270 s
%------------------------------------------------------------------------------