%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GRP132-1.002 : 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 : n018.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 06:26:56 PM UTC 2025
% Result : Unsatisfiable 4.81s 0.92s
% Output : CNFRefutation 4.81s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named qg2_1)
% Comments :
%------------------------------------------------------------------------------
cnf(8,plain,
( ~ product(X0,X1,X2)
| ~ product(X3,X4,X2)
| ~ product(X5,X0,X1)
| ~ product(X5,X3,X4)
| equalish(X0,X3) ),
inference(cnf,[status(esa)],[qg2_1]) ).
cnf(l0,plain,
( ~ product(e_1,e_1,e_2)
| ~ product(e_2,e_1,e_2)
| ~ product(e_1,e_1,e_1)
| ~ product(e_1,e_2,e_1)
| equalish(e_1,e_2) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(4,plain,
( ~ group_element(X0)
| ~ group_element(X1)
| product(X0,X1,e_1)
| product(X0,X1,e_2) ),
inference(cnf,[status(esa)],[product_total_function1]) ).
cnf(l1,plain,
( ~ group_element(e_2)
| ~ group_element(e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l2,plain,
( ~ group_element(e_1)
| ~ group_element(e_1)
| product(e_1,e_1,e_1)
| product(e_1,e_1,e_2) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l3,plain,
( ~ group_element(e_1)
| ~ group_element(e_1)
| product(e_1,e_1,e_1)
| product(e_1,e_1,e_2) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l4,plain,
( ~ product(e_1,e_1,e_1)
| ~ product(e_2,e_1,e_1)
| ~ product(e_2,e_1,e_1)
| ~ product(e_2,e_2,e_1)
| equalish(e_1,e_2) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(0,plain,
group_element(e_1),
inference(cnf,[status(esa)],[element_1]) ).
cnf(l5,plain,
group_element(e_1),
inference(instantiation,[status(thm)],[0]) ).
cnf(1,plain,
group_element(e_2),
inference(cnf,[status(esa)],[element_2]) ).
cnf(l6,plain,
group_element(e_2),
inference(instantiation,[status(thm)],[1]) ).
cnf(7,plain,
( ~ product(X0,X1,X2)
| ~ product(X3,X1,X2)
| equalish(X0,X3) ),
inference(cnf,[status(esa)],[product_left_cancellation]) ).
cnf(l7,plain,
( ~ product(e_2,e_1,e_2)
| ~ product(e_1,e_1,e_2)
| equalish(e_2,e_1) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(2,plain,
~ equalish(e_1,e_2),
inference(cnf,[status(esa)],[e_1_is_not_e_2]) ).
cnf(l8,plain,
~ equalish(e_1,e_2),
inference(instantiation,[status(thm)],[2]) ).
cnf(l9,plain,
( ~ group_element(e_2)
| ~ group_element(e_2)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l10,plain,
group_element(e_2),
inference(instantiation,[status(thm)],[1]) ).
cnf(3,plain,
~ equalish(e_2,e_1),
inference(cnf,[status(esa)],[e_2_is_not_e_1]) ).
cnf(l11,plain,
~ equalish(e_2,e_1),
inference(instantiation,[status(thm)],[3]) ).
cnf(l12,plain,
group_element(e_1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l13,plain,
( ~ group_element(e_2)
| ~ group_element(e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l14,plain,
( ~ product(e_2,e_2,e_1)
| ~ product(e_1,e_1,e_1)
| ~ product(e_1,e_2,e_2)
| ~ product(e_1,e_1,e_1)
| equalish(e_2,e_1) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l15,plain,
group_element(e_1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l16,plain,
( ~ product(e_1,e_1,e_2)
| ~ product(e_2,e_2,e_2)
| ~ product(e_2,e_1,e_1)
| ~ product(e_2,e_2,e_2)
| equalish(e_1,e_2) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l17,plain,
~ equalish(e_2,e_1),
inference(instantiation,[status(thm)],[3]) ).
cnf(l18,plain,
group_element(e_2),
inference(instantiation,[status(thm)],[1]) ).
cnf(l19,plain,
group_element(e_2),
inference(instantiation,[status(thm)],[1]) ).
cnf(l20,plain,
~ equalish(e_1,e_2),
inference(instantiation,[status(thm)],[2]) ).
cnf(l21,plain,
( ~ group_element(e_2)
| ~ group_element(e_2)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l22,plain,
group_element(e_2),
inference(instantiation,[status(thm)],[1]) ).
cnf(l24,plain,
( ~ product(e_2,e_2,e_2)
| ~ product(e_1,e_2,e_2)
| ~ product(e_2,e_2,e_2)
| ~ product(e_2,e_1,e_2)
| equalish(e_2,e_1) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l25,plain,
group_element(e_1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l26,plain,
( ~ group_element(e_1)
| ~ group_element(e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l27,plain,
~ equalish(e_2,e_1),
inference(instantiation,[status(thm)],[3]) ).
cnf(l33,plain,
( ~ group_element(e_2)
| ~ group_element(e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l31,plain,
( ~ group_element(e_1)
| ~ group_element(e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(6,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X2)
| equalish(X1,X3) ),
inference(cnf,[status(esa)],[product_right_cancellation]) ).
cnf(l48,plain,
( ~ product(e_1,e_2,e_2)
| ~ product(e_1,e_1,e_2)
| equalish(e_2,e_1) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l55,plain,
group_element(e_1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l35,plain,
group_element(e_2),
inference(instantiation,[status(thm)],[1]) ).
cnf(l40,plain,
( ~ group_element(e_1)
| ~ group_element(e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l51,plain,
group_element(e_1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l41,plain,
group_element(e_2),
inference(instantiation,[status(thm)],[1]) ).
cnf(l23,plain,
~ equalish(e_1,e_2),
inference(instantiation,[status(thm)],[2]) ).
cnf(l37,plain,
group_element(e_2),
inference(instantiation,[status(thm)],[1]) ).
cnf(l45,plain,
( ~ product(e_1,e_1,e_1)
| ~ product(e_1,e_2,e_1)
| equalish(e_1,e_2) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l50,plain,
group_element(e_1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l49,plain,
( ~ group_element(e_1)
| ~ group_element(e_1)
| product(e_1,e_1,e_1)
| product(e_1,e_1,e_2) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l74,plain,
~ equalish(e_2,e_1),
inference(instantiation,[status(thm)],[3]) ).
cnf(l36,plain,
group_element(e_2),
inference(instantiation,[status(thm)],[1]) ).
cnf(l92,plain,
( ~ group_element(e_1)
| ~ group_element(e_1)
| product(e_1,e_1,e_1)
| product(e_1,e_1,e_2) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l38,plain,
group_element(e_1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l108,plain,
( ~ product(e_2,e_2,e_1)
| ~ product(e_1,e_1,e_1)
| ~ product(e_1,e_2,e_2)
| ~ product(e_1,e_1,e_1)
| equalish(e_2,e_1) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l63,plain,
( ~ product(e_2,e_1,e_1)
| ~ product(e_1,e_1,e_1)
| equalish(e_2,e_1) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l94,plain,
~ equalish(e_1,e_2),
inference(instantiation,[status(thm)],[2]) ).
cnf(l105,plain,
group_element(e_1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l112,plain,
( ~ group_element(e_2)
| ~ group_element(e_2)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l73,plain,
~ equalish(e_2,e_1),
inference(instantiation,[status(thm)],[3]) ).
cnf(l28,plain,
( ~ product(e_2,e_2,e_1)
| ~ product(e_2,e_1,e_1)
| equalish(e_2,e_1) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l29,plain,
( ~ product(e_1,e_2,e_1)
| ~ product(e_1,e_1,e_1)
| equalish(e_2,e_1) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l46,plain,
group_element(e_1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l71,plain,
group_element(e_1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l162,plain,
~ equalish(e_2,e_1),
inference(instantiation,[status(thm)],[3]) ).
cnf(l62,plain,
group_element(e_1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l43,plain,
( ~ group_element(e_1)
| ~ group_element(e_1)
| product(e_1,e_1,e_1)
| product(e_1,e_1,e_2) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l42,plain,
( ~ product(e_2,e_1,e_1)
| ~ product(e_1,e_1,e_1)
| equalish(e_2,e_1) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l172,plain,
group_element(e_2),
inference(instantiation,[status(thm)],[1]) ).
cnf(l47,plain,
~ equalish(e_2,e_1),
inference(instantiation,[status(thm)],[3]) ).
cnf(l34,plain,
group_element(e_2),
inference(instantiation,[status(thm)],[1]) ).
cnf(l113,plain,
group_element(e_2),
inference(instantiation,[status(thm)],[1]) ).
cnf(l30,plain,
~ equalish(e_2,e_1),
inference(instantiation,[status(thm)],[3]) ).
cnf(l60,plain,
( ~ group_element(e_2)
| ~ group_element(e_2)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l58,plain,
group_element(e_1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l102,plain,
group_element(e_1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l110,plain,
~ equalish(e_2,e_1),
inference(instantiation,[status(thm)],[3]) ).
cnf(l54,plain,
group_element(e_1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l185,plain,
group_element(e_2),
inference(instantiation,[status(thm)],[1]) ).
cnf(l174,plain,
( ~ product(e_2,e_2,e_2)
| ~ product(e_1,e_2,e_2)
| equalish(e_2,e_1) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l177,plain,
group_element(e_2),
inference(instantiation,[status(thm)],[1]) ).
cnf(l59,plain,
group_element(e_1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l184,plain,
~ equalish(e_2,e_1),
inference(instantiation,[status(thm)],[3]) ).
cnf(l44,plain,
( ~ product(e_1,e_1,e_2)
| ~ product(e_2,e_2,e_2)
| ~ product(e_2,e_1,e_1)
| ~ product(e_2,e_2,e_2)
| equalish(e_1,e_2) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l114,plain,
( ~ group_element(e_2)
| ~ group_element(e_2)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l77,plain,
~ equalish(e_1,e_2),
inference(instantiation,[status(thm)],[2]) ).
cnf(l139,plain,
group_element(e_2),
inference(instantiation,[status(thm)],[1]) ).
cnf(l78,plain,
( ~ group_element(e_2)
| ~ group_element(e_2)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(9,plain,
( ~ product(X0,X1,X2)
| ~ product(X3,X4,X2)
| ~ product(X5,X0,X1)
| ~ product(X5,X3,X4)
| equalish(X1,X4) ),
inference(cnf,[status(esa)],[qg2_2]) ).
cnf(l179,plain,
( ~ product(e_2,e_2,e_2)
| ~ product(e_1,e_1,e_2)
| ~ product(e_2,e_2,e_2)
| ~ product(e_2,e_1,e_1)
| equalish(e_2,e_1) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l154,plain,
group_element(e_2),
inference(instantiation,[status(thm)],[1]) ).
cnf(l84,plain,
group_element(e_2),
inference(instantiation,[status(thm)],[1]) ).
cnf(l181,plain,
~ equalish(e_2,e_1),
inference(instantiation,[status(thm)],[3]) ).
cnf(l120,plain,
group_element(e_2),
inference(instantiation,[status(thm)],[1]) ).
cnf(l79,plain,
( ~ product(e_2,e_2,e_1)
| ~ product(e_2,e_1,e_1)
| equalish(e_2,e_1) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l233,plain,
~ equalish(e_2,e_1),
inference(instantiation,[status(thm)],[3]) ).
cnf(l115,plain,
( ~ product(e_2,e_2,e_1)
| ~ product(e_2,e_1,e_1)
| equalish(e_2,e_1) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l227,plain,
~ equalish(e_2,e_1),
inference(instantiation,[status(thm)],[3]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l4,l5,l6,l7,l8,l9,l10,l11,l12,l13,l14,l15,l16,l17,l18,l19,l20,l21,l22,l24,l25,l26,l27,l33,l31,l48,l55,l35,l40,l51,l41,l23,l37,l45,l50,l49,l74,l36,l92,l38,l108,l63,l94,l105,l112,l73,l28,l29,l46,l71,l162,l62,l43,l42,l172,l47,l34,l113,l30,l60,l58,l102,l110,l54,l185,l174,l177,l59,l184,l44,l114,l77,l139,l78,l179,l154,l84,l181,l120,l79,l233,l115,l227]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GRP132-1.002 : TPTP v9.0.0. Released v1.2.0.
% 0.07/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n018.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 14:05:04 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % launching worker at depth: 1
% 0.12/0.33 % launching worker at depth: 8
% 0.12/0.33 % launching worker at depth: 4
% 0.12/0.33 % launching worker at depth: 2
% 0.12/0.33 % launching worker at depth: 5
% 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: 3
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.38 % launching worker at depth: 11
% 1.64/0.56 % launching worker at depth: 12
% 4.81/0.92 % SZS status Theorem for theBenchmark
% 4.81/0.92 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------