%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GRP130-2.003 : TPTP v9.0.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 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 Jul 24 06:26:55 PM UTC 2025
% Result : Unsatisfiable 264.94s 33.57s
% Output : CNFRefutation 264.94s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named qg3)
% Comments :
%------------------------------------------------------------------------------
cnf(19,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X2,X3)
| product(X3,X1,X0) ),
inference(cnf,[status(esa)],[qg3]) ).
cnf(l0,plain,
( ~ product(e_3,e_1,e_1)
| ~ product(e_3,e_1,e_1)
| product(e_1,e_1,e_3) ),
inference(instantiation,[status(thm)],[19]) ).
cnf(15,plain,
( ~ group_element(X0)
| ~ group_element(X1)
| product(X0,X1,e_2)
| product(X0,X1,e_1)
| product(X0,X1,e_3) ),
inference(cnf,[status(esa)],[product_total_function1]) ).
cnf(l2,plain,
( ~ group_element(e_3)
| ~ group_element(e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_3) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(5,plain,
( ~ next(X0,X1)
| ~ greater(X2,X1)
| ~ product(X0,e_1,X2) ),
inference(cnf,[status(esa)],[no_redundancy]) ).
cnf(l6,plain,
( ~ next(e_1,e_2)
| ~ greater(e_3,e_2)
| ~ product(e_1,e_1,e_3) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(6,plain,
group_element(e_1),
inference(cnf,[status(esa)],[element_1]) ).
cnf(l16,plain,
group_element(e_1),
inference(instantiation,[status(thm)],[6]) ).
cnf(0,plain,
next(e_1,e_2),
inference(cnf,[status(esa)],[e_1_then_e_2]) ).
cnf(l252,plain,
next(e_1,e_2),
inference(instantiation,[status(thm)],[0]) ).
cnf(l5,plain,
( ~ product(e_3,e_1,e_2)
| ~ product(e_3,e_2,e_1)
| product(e_1,e_1,e_3) ),
inference(instantiation,[status(thm)],[19]) ).
cnf(4,plain,
greater(e_3,e_2),
inference(cnf,[status(esa)],[e_3_greater_e_2]) ).
cnf(l20,plain,
greater(e_3,e_2),
inference(instantiation,[status(thm)],[4]) ).
cnf(l1,plain,
( ~ group_element(e_3)
| ~ group_element(e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_3) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(l255,plain,
( ~ group_element(e_3)
| ~ group_element(e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_3) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(l13,plain,
( ~ product(e_3,e_1,e_3)
| ~ product(e_3,e_3,e_2)
| product(e_2,e_1,e_3) ),
inference(instantiation,[status(thm)],[19]) ).
cnf(l7,plain,
group_element(e_1),
inference(instantiation,[status(thm)],[6]) ).
cnf(l8,plain,
( ~ product(e_3,e_1,e_2)
| ~ product(e_3,e_2,e_1)
| product(e_1,e_1,e_3) ),
inference(instantiation,[status(thm)],[19]) ).
cnf(8,plain,
group_element(e_3),
inference(cnf,[status(esa)],[element_3]) ).
cnf(l11,plain,
group_element(e_3),
inference(instantiation,[status(thm)],[8]) ).
cnf(l144,plain,
( ~ group_element(e_3)
| ~ group_element(e_3)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_3) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(l3,plain,
group_element(e_3),
inference(instantiation,[status(thm)],[8]) ).
cnf(7,plain,
group_element(e_2),
inference(cnf,[status(esa)],[element_2]) ).
cnf(l261,plain,
group_element(e_2),
inference(instantiation,[status(thm)],[7]) ).
cnf(17,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X2)
| equalish(X1,X3) ),
inference(cnf,[status(esa)],[product_right_cancellation]) ).
cnf(l185,plain,
( ~ product(e_3,e_3,e_3)
| ~ product(e_3,e_1,e_3)
| equalish(e_3,e_1) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(18,plain,
( ~ product(X0,X1,X2)
| ~ product(X3,X1,X2)
| equalish(X0,X3) ),
inference(cnf,[status(esa)],[product_left_cancellation]) ).
cnf(l29,plain,
( ~ product(e_2,e_1,e_3)
| ~ product(e_3,e_1,e_3)
| equalish(e_2,e_3) ),
inference(instantiation,[status(thm)],[18]) ).
cnf(l161,plain,
group_element(e_3),
inference(instantiation,[status(thm)],[8]) ).
cnf(l257,plain,
( ~ product(e_3,e_1,e_3)
| ~ product(e_3,e_2,e_3)
| equalish(e_1,e_2) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(12,plain,
~ equalish(e_2,e_3),
inference(cnf,[status(esa)],[e_2_is_not_e_3]) ).
cnf(l156,plain,
~ equalish(e_2,e_3),
inference(instantiation,[status(thm)],[12]) ).
cnf(l157,plain,
group_element(e_3),
inference(instantiation,[status(thm)],[8]) ).
cnf(l267,plain,
( ~ product(e_3,e_1,e_2)
| ~ product(e_3,e_2,e_3)
| product(e_3,e_1,e_3) ),
inference(instantiation,[status(thm)],[19]) ).
cnf(9,plain,
~ equalish(e_1,e_2),
inference(cnf,[status(esa)],[e_1_is_not_e_2]) ).
cnf(l260,plain,
~ equalish(e_1,e_2),
inference(instantiation,[status(thm)],[9]) ).
cnf(l215,plain,
( ~ group_element(e_3)
| ~ group_element(e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_3) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(16,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X3)
| equalish(X2,X3) ),
inference(cnf,[status(esa)],[product_total_function2]) ).
cnf(l146,plain,
( ~ product(e_3,e_3,e_3)
| ~ product(e_3,e_3,e_1)
| equalish(e_3,e_1) ),
inference(instantiation,[status(thm)],[16]) ).
cnf(l217,plain,
( ~ product(e_3,e_1,e_3)
| ~ product(e_3,e_2,e_3)
| equalish(e_1,e_2) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(l381,plain,
( ~ product(e_3,e_1,e_2)
| ~ product(e_3,e_2,e_2)
| equalish(e_1,e_2) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(13,plain,
~ equalish(e_3,e_1),
inference(cnf,[status(esa)],[e_3_is_not_e_1]) ).
cnf(l167,plain,
~ equalish(e_3,e_1),
inference(instantiation,[status(thm)],[13]) ).
cnf(l382,plain,
~ equalish(e_1,e_2),
inference(instantiation,[status(thm)],[9]) ).
cnf(l222,plain,
group_element(e_3),
inference(instantiation,[status(thm)],[8]) ).
cnf(l258,plain,
group_element(e_3),
inference(instantiation,[status(thm)],[8]) ).
cnf(l223,plain,
group_element(e_2),
inference(instantiation,[status(thm)],[7]) ).
cnf(l186,plain,
~ equalish(e_3,e_1),
inference(instantiation,[status(thm)],[13]) ).
cnf(l4,plain,
( ~ product(e_3,e_1,e_3)
| ~ product(e_3,e_3,e_2)
| product(e_2,e_1,e_3) ),
inference(instantiation,[status(thm)],[19]) ).
cnf(l358,plain,
( ~ product(e_3,e_1,e_2)
| ~ product(e_3,e_2,e_2)
| equalish(e_1,e_2) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(l9,plain,
( ~ product(e_2,e_1,e_3)
| ~ product(e_3,e_1,e_3)
| equalish(e_2,e_3) ),
inference(instantiation,[status(thm)],[18]) ).
cnf(l295,plain,
~ equalish(e_2,e_3),
inference(instantiation,[status(thm)],[12]) ).
cnf(l359,plain,
~ equalish(e_1,e_2),
inference(instantiation,[status(thm)],[9]) ).
cnf(l12,plain,
( ~ next(e_1,e_2)
| ~ greater(e_3,e_2)
| ~ product(e_1,e_1,e_3) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l379,plain,
next(e_1,e_2),
inference(instantiation,[status(thm)],[0]) ).
cnf(l242,plain,
( ~ product(e_3,e_1,e_2)
| ~ product(e_3,e_2,e_3)
| product(e_3,e_1,e_3) ),
inference(instantiation,[status(thm)],[19]) ).
cnf(l380,plain,
greater(e_3,e_2),
inference(instantiation,[status(thm)],[4]) ).
cnf(l229,plain,
~ equalish(e_1,e_2),
inference(instantiation,[status(thm)],[9]) ).
cnf(l15,plain,
( ~ next(e_1,e_2)
| ~ greater(e_3,e_2)
| ~ product(e_1,e_1,e_3) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l212,plain,
( ~ group_element(e_3)
| ~ group_element(e_3)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_3) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(l329,plain,
( ~ product(e_3,e_1,e_3)
| ~ product(e_3,e_3,e_3)
| equalish(e_1,e_3) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(l173,plain,
( ~ product(e_3,e_3,e_1)
| ~ product(e_3,e_1,e_3)
| product(e_3,e_3,e_3) ),
inference(instantiation,[status(thm)],[19]) ).
cnf(l213,plain,
group_element(e_3),
inference(instantiation,[status(thm)],[8]) ).
cnf(10,plain,
~ equalish(e_1,e_3),
inference(cnf,[status(esa)],[e_1_is_not_e_3]) ).
cnf(l334,plain,
~ equalish(e_1,e_3),
inference(instantiation,[status(thm)],[10]) ).
cnf(l134,plain,
next(e_1,e_2),
inference(instantiation,[status(thm)],[0]) ).
cnf(l48,plain,
greater(e_3,e_2),
inference(instantiation,[status(thm)],[4]) ).
cnf(l268,plain,
( ~ product(e_3,e_3,e_3)
| ~ product(e_3,e_3,e_1)
| equalish(e_3,e_1) ),
inference(instantiation,[status(thm)],[16]) ).
cnf(l336,plain,
( ~ product(e_3,e_3,e_1)
| ~ product(e_3,e_1,e_3)
| product(e_3,e_3,e_3) ),
inference(instantiation,[status(thm)],[19]) ).
cnf(l214,plain,
group_element(e_3),
inference(instantiation,[status(thm)],[8]) ).
cnf(l326,plain,
~ equalish(e_3,e_1),
inference(instantiation,[status(thm)],[13]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l2,l6,l16,l252,l5,l20,l1,l255,l13,l7,l8,l11,l144,l3,l261,l185,l29,l161,l257,l156,l157,l267,l260,l215,l146,l217,l381,l167,l382,l222,l258,l223,l186,l4,l358,l9,l295,l359,l12,l379,l242,l380,l229,l15,l212,l329,l173,l213,l334,l134,l48,l268,l336,l214,l326]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GRP130-2.003 : TPTP v9.0.0. Released v1.2.0.
% 0.10/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n017.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 : Sun Jul 20 14:03:49 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % launching worker at depth: 5
% 0.12/0.33 % launching worker at depth: 4
% 0.12/0.33 % launching worker at depth: 1
% 0.12/0.33 % launching worker at depth: 2
% 0.12/0.33 % launching worker at depth: 3
% 0.12/0.33 % launching worker at depth: 6
% 0.12/0.33 % launching worker at depth: 7
% 0.12/0.33 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.37 % launching worker at depth: 10
% 2.22/0.60 % launching worker at depth: 11
% 33.17/4.56 % launching worker at depth: 12
% 264.94/33.57 % SZS status Theorem for theBenchmark
% 264.94/33.57 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------