%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP122-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:25:14 PM UTC 2026
% Result : Unsatisfiable 3.34s 0.86s
% Output : CNFRefutation 3.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 101
% Number of leaves : 3
% Syntax : Number of clauses : 212 ( 212 unt; 0 nHn; 5 RR)
% Number of literals : 212 ( 211 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 360 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t1,axiom,
multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X1),multiply(X2,X3))),multiply(X3,multiply(X3,X3)))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t2,plain,
multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X1),multiply(X2,X3))),multiply(X3,multiply(X3,X3)))) = X2,
inference(orient,[status(thm)],[t1]) ).
cnf(t0,axiom,
multiply(identity,identity) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t5,plain,
multiply(identity,identity) = identity,
inference(orient,[status(thm)],[t0]) ).
cnf(t8,plain,
X1 = multiply(X2,multiply(multiply(X2,multiply(multiply(X2,X2),multiply(X1,identity))),multiply(identity,identity))),
inference(cp,[status(thm)],[t2,t5]) ).
cnf(t1748,plain,
X1 = multiply(X2,multiply(multiply(X2,multiply(multiply(X2,X2),multiply(X1,identity))),identity)),
inference(step,[status(thm)],[t8,t5]) ).
cnf(t12,plain,
multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X1),multiply(X2,identity))),identity)) = X2,
inference(orient,[status(thm)],[t1748]) ).
cnf(t14,plain,
X1 = multiply(identity,multiply(multiply(identity,multiply(identity,multiply(X1,identity))),identity)),
inference(cp,[status(thm)],[t12,t5]) ).
cnf(t18,plain,
multiply(identity,multiply(multiply(identity,multiply(identity,multiply(X1,identity))),identity)) = X1,
inference(orient,[status(thm)],[t14]) ).
cnf(t19,plain,
multiply(identity,multiply(multiply(identity,identity),multiply(X1,identity))) = multiply(identity,multiply(multiply(identity,X1),identity)),
inference(cp,[status(thm)],[t18,t12]) ).
cnf(t1749,plain,
multiply(identity,multiply(identity,multiply(X1,identity))) = multiply(identity,multiply(multiply(identity,X1),identity)),
inference(step,[status(thm)],[t19,t5]) ).
cnf(t22,plain,
multiply(identity,multiply(multiply(identity,X1),identity)) = multiply(identity,multiply(identity,multiply(X1,identity))),
inference(orient,[status(thm)],[t1749]) ).
cnf(t26,plain,
multiply(identity,multiply(identity,multiply(multiply(multiply(identity,X1),identity),identity))) = multiply(identity,multiply(multiply(identity,multiply(identity,multiply(X1,identity))),identity)),
inference(cp,[status(thm)],[t22,t22]) ).
cnf(t1754,plain,
multiply(identity,multiply(identity,multiply(multiply(multiply(identity,X1),identity),identity))) = multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X1,identity)),identity))),
inference(step,[status(thm)],[t26,t22]) ).
cnf(t1755,plain,
multiply(identity,multiply(identity,multiply(multiply(multiply(identity,X1),identity),identity))) = multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X1,identity),identity)))),
inference(step,[status(thm)],[t1754,t22]) ).
cnf(t23,plain,
multiply(identity,multiply(identity,multiply(multiply(multiply(identity,identity),multiply(X1,identity)),identity))) = X1,
inference(cp,[status(thm)],[t22,t12]) ).
cnf(t1752,plain,
multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X1,identity)),identity))) = X1,
inference(step,[status(thm)],[t23,t5]) ).
cnf(t1753,plain,
multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X1,identity),identity)))) = X1,
inference(step,[status(thm)],[t1752,t22]) ).
cnf(t29,plain,
multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X1,identity),identity)))) = X1,
inference(orient,[status(thm)],[t1753]) ).
cnf(t1756,plain,
multiply(identity,multiply(identity,multiply(multiply(multiply(identity,X1),identity),identity))) = X1,
inference(step,[status(thm)],[t1755,t29]) ).
cnf(t44,plain,
multiply(identity,multiply(identity,multiply(multiply(multiply(identity,X1),identity),identity))) = X1,
inference(orient,[status(thm)],[t1756]) ).
cnf(t45,plain,
multiply(multiply(identity,X1),identity) = multiply(identity,multiply(identity,multiply(multiply(multiply(identity,multiply(identity,multiply(X1,identity))),identity),identity))),
inference(cp,[status(thm)],[t44,t22]) ).
cnf(t1757,plain,
multiply(multiply(identity,X1),identity) = multiply(identity,multiply(X1,identity)),
inference(step,[status(thm)],[t45,t44]) ).
cnf(t55,plain,
multiply(multiply(identity,X1),identity) = multiply(identity,multiply(X1,identity)),
inference(orient,[status(thm)],[t1757]) ).
cnf(t58,plain,
multiply(identity,X1) = multiply(X2,multiply(multiply(X2,multiply(multiply(X2,X2),multiply(identity,multiply(X1,identity)))),multiply(identity,multiply(identity,identity)))),
inference(cp,[status(thm)],[t2,t55]) ).
cnf(t1762,plain,
multiply(identity,X1) = multiply(X2,multiply(multiply(X2,multiply(multiply(X2,X2),multiply(identity,multiply(X1,identity)))),multiply(identity,identity))),
inference(step,[status(thm)],[t58,t5]) ).
cnf(t1763,plain,
multiply(identity,X1) = multiply(X2,multiply(multiply(X2,multiply(multiply(X2,X2),multiply(identity,multiply(X1,identity)))),identity)),
inference(step,[status(thm)],[t1762,t5]) ).
cnf(t76,plain,
multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X1),multiply(identity,multiply(X2,identity)))),identity)) = multiply(identity,X2),
inference(orient,[status(thm)],[t1763]) ).
cnf(t77,plain,
multiply(identity,multiply(identity,multiply(multiply(identity,identity),multiply(X1,identity)))) = multiply(X2,multiply(multiply(X2,multiply(multiply(X2,X2),X1)),identity)),
inference(cp,[status(thm)],[t76,t12]) ).
cnf(t1764,plain,
multiply(identity,multiply(identity,multiply(identity,multiply(X1,identity)))) = multiply(X2,multiply(multiply(X2,multiply(multiply(X2,X2),X1)),identity)),
inference(step,[status(thm)],[t77,t5]) ).
cnf(t84,plain,
multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X1),X2)),identity)) = multiply(identity,multiply(identity,multiply(identity,multiply(X2,identity)))),
inference(orient,[status(thm)],[t1764]) ).
cnf(t3,plain,
multiply(multiply(X1,X1),multiply(multiply(multiply(X1,X1),multiply(X1,X1)),multiply(X2,X3))) = multiply(X1,multiply(multiply(X1,X2),multiply(multiply(X3,multiply(X3,X3)),multiply(multiply(X3,multiply(X3,X3)),multiply(X3,multiply(X3,X3)))))),
inference(cp,[status(thm)],[t2,t2]) ).
cnf(t6,plain,
X1 = multiply(identity,multiply(multiply(identity,multiply(identity,multiply(X1,X2))),multiply(X2,multiply(X2,X2)))),
inference(cp,[status(thm)],[t2,t5]) ).
cnf(t31,plain,
multiply(identity,multiply(multiply(identity,multiply(identity,multiply(X1,X2))),multiply(X2,multiply(X2,X2)))) = X1,
inference(orient,[status(thm)],[t6]) ).
cnf(t56,plain,
multiply(identity,multiply(multiply(multiply(identity,multiply(identity,multiply(X1,X2))),multiply(X2,multiply(X2,X2))),identity)) = multiply(X1,identity),
inference(cp,[status(thm)],[t55,t31]) ).
cnf(t91,plain,
multiply(identity,multiply(multiply(multiply(identity,multiply(identity,multiply(X1,X2))),multiply(X2,multiply(X2,X2))),identity)) = multiply(X1,identity),
inference(orient,[status(thm)],[t56]) ).
cnf(t105,plain,
multiply(multiply(identity,multiply(identity,multiply(X1,X2))),multiply(X2,multiply(X2,X2))) = multiply(identity,multiply(multiply(identity,multiply(X1,identity)),multiply(identity,multiply(identity,identity)))),
inference(cp,[status(thm)],[t31,t91]) ).
cnf(t1765,plain,
multiply(multiply(identity,multiply(identity,multiply(X1,X2))),multiply(X2,multiply(X2,X2))) = multiply(identity,multiply(multiply(identity,multiply(X1,identity)),multiply(identity,identity))),
inference(step,[status(thm)],[t105,t5]) ).
cnf(t1766,plain,
multiply(multiply(identity,multiply(identity,multiply(X1,X2))),multiply(X2,multiply(X2,X2))) = multiply(identity,multiply(multiply(identity,multiply(X1,identity)),identity)),
inference(step,[status(thm)],[t1765,t5]) ).
cnf(t1767,plain,
multiply(multiply(identity,multiply(identity,multiply(X1,X2))),multiply(X2,multiply(X2,X2))) = multiply(identity,multiply(identity,multiply(multiply(X1,identity),identity))),
inference(step,[status(thm)],[t1766,t55]) ).
cnf(t109,plain,
multiply(multiply(identity,multiply(identity,multiply(X1,X2))),multiply(X2,multiply(X2,X2))) = multiply(identity,multiply(identity,multiply(multiply(X1,identity),identity))),
inference(orient,[status(thm)],[t1767]) ).
cnf(t112,plain,
multiply(identity,multiply(identity,multiply(multiply(multiply(identity,multiply(multiply(identity,identity),multiply(X1,X2))),identity),identity))) = multiply(multiply(identity,X1),multiply(multiply(X2,multiply(X2,X2)),multiply(multiply(X2,multiply(X2,X2)),multiply(X2,multiply(X2,X2))))),
inference(cp,[status(thm)],[t109,t2]) ).
cnf(t1774,plain,
multiply(multiply(identity,identity),multiply(X1,X2)) = multiply(multiply(identity,X1),multiply(multiply(X2,multiply(X2,X2)),multiply(multiply(X2,multiply(X2,X2)),multiply(X2,multiply(X2,X2))))),
inference(step,[status(thm)],[t112,t44]) ).
cnf(t1775,plain,
multiply(identity,multiply(X1,X2)) = multiply(multiply(identity,X1),multiply(multiply(X2,multiply(X2,X2)),multiply(multiply(X2,multiply(X2,X2)),multiply(X2,multiply(X2,X2))))),
inference(step,[status(thm)],[t1774,t5]) ).
cnf(t146,plain,
multiply(multiply(identity,X1),multiply(multiply(X2,multiply(X2,X2)),multiply(multiply(X2,multiply(X2,X2)),multiply(X2,multiply(X2,X2))))) = multiply(identity,multiply(X1,X2)),
inference(orient,[status(thm)],[t1775]) ).
cnf(t148,plain,
multiply(identity,multiply(identity,X1)) = multiply(identity,multiply(multiply(X1,multiply(X1,X1)),multiply(multiply(X1,multiply(X1,X1)),multiply(X1,multiply(X1,X1))))),
inference(cp,[status(thm)],[t146,t5]) ).
cnf(t209,plain,
multiply(identity,multiply(multiply(X1,multiply(X1,X1)),multiply(multiply(X1,multiply(X1,X1)),multiply(X1,multiply(X1,X1))))) = multiply(identity,multiply(identity,X1)),
inference(orient,[status(thm)],[t148]) ).
cnf(t214,plain,
multiply(identity,multiply(multiply(multiply(X1,multiply(X1,X1)),multiply(multiply(X1,multiply(X1,X1)),multiply(X1,multiply(X1,X1)))),X2)) = multiply(multiply(identity,multiply(identity,X1)),multiply(multiply(X2,multiply(X2,X2)),multiply(multiply(X2,multiply(X2,X2)),multiply(X2,multiply(X2,X2))))),
inference(cp,[status(thm)],[t146,t209]) ).
cnf(t1784,plain,
multiply(identity,multiply(multiply(multiply(X1,multiply(X1,X1)),multiply(multiply(X1,multiply(X1,X1)),multiply(X1,multiply(X1,X1)))),X2)) = multiply(identity,multiply(multiply(identity,X1),X2)),
inference(step,[status(thm)],[t214,t146]) ).
cnf(t251,plain,
multiply(identity,multiply(multiply(multiply(X1,multiply(X1,X1)),multiply(multiply(X1,multiply(X1,X1)),multiply(X1,multiply(X1,X1)))),X2)) = multiply(identity,multiply(multiply(identity,X1),X2)),
inference(orient,[status(thm)],[t1784]) ).
cnf(t258,plain,
multiply(identity,multiply(identity,multiply(multiply(multiply(multiply(X1,multiply(X1,X1)),multiply(multiply(X1,multiply(X1,X1)),multiply(X1,multiply(X1,X1)))),identity),identity))) = multiply(multiply(identity,multiply(identity,multiply(multiply(identity,X1),X2))),multiply(X2,multiply(X2,X2))),
inference(cp,[status(thm)],[t109,t251]) ).
cnf(t1789,plain,
multiply(identity,multiply(identity,multiply(multiply(multiply(multiply(X1,multiply(X1,X1)),multiply(multiply(X1,multiply(X1,X1)),multiply(X1,multiply(X1,X1)))),identity),identity))) = multiply(identity,multiply(identity,multiply(multiply(multiply(identity,X1),identity),identity))),
inference(step,[status(thm)],[t258,t109]) ).
cnf(t1790,plain,
multiply(identity,multiply(identity,multiply(multiply(multiply(multiply(X1,multiply(X1,X1)),multiply(multiply(X1,multiply(X1,X1)),multiply(X1,multiply(X1,X1)))),identity),identity))) = X1,
inference(step,[status(thm)],[t1789,t44]) ).
cnf(t361,plain,
multiply(identity,multiply(identity,multiply(multiply(multiply(multiply(X1,multiply(X1,X1)),multiply(multiply(X1,multiply(X1,X1)),multiply(X1,multiply(X1,X1)))),identity),identity))) = X1,
inference(orient,[status(thm)],[t1790]) ).
cnf(t371,plain,
multiply(multiply(X1,multiply(X1,X1)),multiply(multiply(X1,multiply(X1,X1)),multiply(X1,multiply(X1,X1)))) = multiply(identity,X1),
inference(cp,[status(thm)],[t29,t361]) ).
cnf(t375,plain,
multiply(multiply(X1,multiply(X1,X1)),multiply(multiply(X1,multiply(X1,X1)),multiply(X1,multiply(X1,X1)))) = multiply(identity,X1),
inference(orient,[status(thm)],[t371]) ).
cnf(t1812,plain,
multiply(multiply(X1,X1),multiply(multiply(multiply(X1,X1),multiply(X1,X1)),multiply(X2,X3))) = multiply(X1,multiply(multiply(X1,X2),multiply(identity,X3))),
inference(step,[status(thm)],[t3,t375]) ).
cnf(t642,plain,
multiply(multiply(X1,X1),multiply(multiply(multiply(X1,X1),multiply(X1,X1)),multiply(X2,X3))) = multiply(X1,multiply(multiply(X1,X2),multiply(identity,X3))),
inference(orient,[status(thm)],[t1812]) ).
cnf(t673,plain,
multiply(X1,multiply(multiply(X1,identity),multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X2,identity),identity)))))) = multiply(multiply(X1,X1),multiply(multiply(multiply(X1,X1),multiply(X1,X1)),X2)),
inference(cp,[status(thm)],[t642,t29]) ).
cnf(t1821,plain,
multiply(X1,multiply(multiply(X1,identity),X2)) = multiply(multiply(X1,X1),multiply(multiply(multiply(X1,X1),multiply(X1,X1)),X2)),
inference(step,[status(thm)],[t673,t29]) ).
cnf(t825,plain,
multiply(multiply(X1,X1),multiply(multiply(multiply(X1,X1),multiply(X1,X1)),X2)) = multiply(X1,multiply(multiply(X1,identity),X2)),
inference(orient,[status(thm)],[t1821]) ).
cnf(t848,plain,
multiply(identity,multiply(identity,multiply(identity,multiply(X1,identity)))) = multiply(multiply(X2,X2),multiply(multiply(X2,multiply(multiply(X2,identity),X1)),identity)),
inference(cp,[status(thm)],[t84,t825]) ).
cnf(t986,plain,
multiply(multiply(X1,X1),multiply(multiply(X1,multiply(multiply(X1,identity),X2)),identity)) = multiply(identity,multiply(identity,multiply(identity,multiply(X2,identity)))),
inference(orient,[status(thm)],[t848]) ).
cnf(t665,plain,
multiply(X1,multiply(multiply(X1,multiply(identity,X2)),multiply(identity,identity))) = multiply(multiply(X1,X1),multiply(multiply(multiply(X1,X1),multiply(X1,X1)),multiply(identity,multiply(X2,identity)))),
inference(cp,[status(thm)],[t642,t55]) ).
cnf(t1815,plain,
multiply(X1,multiply(multiply(X1,multiply(identity,X2)),identity)) = multiply(multiply(X1,X1),multiply(multiply(multiply(X1,X1),multiply(X1,X1)),multiply(identity,multiply(X2,identity)))),
inference(step,[status(thm)],[t665,t5]) ).
cnf(t1816,plain,
multiply(X1,multiply(multiply(X1,multiply(identity,X2)),identity)) = multiply(X1,multiply(multiply(X1,identity),multiply(identity,multiply(X2,identity)))),
inference(step,[status(thm)],[t1815,t642]) ).
cnf(t730,plain,
multiply(X1,multiply(multiply(X1,identity),multiply(identity,multiply(X2,identity)))) = multiply(X1,multiply(multiply(X1,multiply(identity,X2)),identity)),
inference(orient,[status(thm)],[t1816]) ).
cnf(t149,plain,
multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(X1,identity),identity))),X2)) = multiply(X1,multiply(multiply(X2,multiply(X2,X2)),multiply(multiply(X2,multiply(X2,X2)),multiply(X2,multiply(X2,X2))))),
inference(cp,[status(thm)],[t146,t29]) ).
cnf(t267,plain,
multiply(X1,multiply(multiply(X2,multiply(X2,X2)),multiply(multiply(X2,multiply(X2,X2)),multiply(X2,multiply(X2,X2))))) = multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(X1,identity),identity))),X2)),
inference(orient,[status(thm)],[t149]) ).
cnf(t1791,plain,
multiply(X1,multiply(identity,X2)) = multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(X1,identity),identity))),X2)),
inference(step,[status(thm)],[t267,t375]) ).
cnf(t387,plain,
multiply(X1,multiply(identity,X2)) = multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(X1,identity),identity))),X2)),
inference(rw,[status(thm)],[t1791]) ).
cnf(t422,plain,
multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(X1,identity),identity))),X2)) = multiply(X1,multiply(identity,X2)),
inference(orient,[status(thm)],[t387]) ).
cnf(t734,plain,
multiply(X1,multiply(multiply(X1,multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X2,identity),identity))))),identity)) = multiply(X1,multiply(multiply(X1,identity),multiply(X2,multiply(identity,identity)))),
inference(cp,[status(thm)],[t730,t422]) ).
cnf(t1817,plain,
multiply(X1,multiply(multiply(X1,X2),identity)) = multiply(X1,multiply(multiply(X1,identity),multiply(X2,multiply(identity,identity)))),
inference(step,[status(thm)],[t734,t29]) ).
cnf(t1818,plain,
multiply(X1,multiply(multiply(X1,X2),identity)) = multiply(X1,multiply(multiply(X1,identity),multiply(X2,identity))),
inference(step,[status(thm)],[t1817,t5]) ).
cnf(t751,plain,
multiply(X1,multiply(multiply(X1,identity),multiply(X2,identity))) = multiply(X1,multiply(multiply(X1,X2),identity)),
inference(orient,[status(thm)],[t1818]) ).
cnf(t990,plain,
multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X1,identity),identity)))) = multiply(multiply(X2,X2),multiply(multiply(X2,multiply(multiply(X2,X1),identity)),identity)),
inference(cp,[status(thm)],[t986,t751]) ).
cnf(t1833,plain,
X1 = multiply(multiply(X2,X2),multiply(multiply(X2,multiply(multiply(X2,X1),identity)),identity)),
inference(step,[status(thm)],[t990,t29]) ).
cnf(t1012,plain,
multiply(multiply(X1,X1),multiply(multiply(X1,multiply(multiply(X1,X2),identity)),identity)) = X2,
inference(orient,[status(thm)],[t1833]) ).
cnf(t429,plain,
multiply(multiply(identity,X1),multiply(identity,X2)) = multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X1,identity)),identity))),X2)),
inference(cp,[status(thm)],[t422,t55]) ).
cnf(t1793,plain,
multiply(multiply(identity,X1),multiply(identity,X2)) = multiply(identity,multiply(multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X1,identity),identity)))),X2)),
inference(step,[status(thm)],[t429,t22]) ).
cnf(t1794,plain,
multiply(multiply(identity,X1),multiply(identity,X2)) = multiply(identity,multiply(X1,X2)),
inference(step,[status(thm)],[t1793,t29]) ).
cnf(t444,plain,
multiply(multiply(identity,X1),multiply(identity,X2)) = multiply(identity,multiply(X1,X2)),
inference(orient,[status(thm)],[t1794]) ).
cnf(t447,plain,
multiply(identity,multiply(X1,multiply(identity,multiply(identity,multiply(multiply(X2,identity),identity))))) = multiply(multiply(identity,X1),X2),
inference(cp,[status(thm)],[t444,t29]) ).
cnf(t477,plain,
multiply(identity,multiply(X1,multiply(identity,multiply(identity,multiply(multiply(X2,identity),identity))))) = multiply(multiply(identity,X1),X2),
inference(orient,[status(thm)],[t447]) ).
cnf(t672,plain,
multiply(X1,multiply(multiply(X1,identity),multiply(identity,multiply(X2,multiply(identity,multiply(identity,multiply(multiply(X3,identity),identity))))))) = multiply(multiply(X1,X1),multiply(multiply(multiply(X1,X1),multiply(X1,X1)),multiply(multiply(identity,X2),X3))),
inference(cp,[status(thm)],[t642,t477]) ).
cnf(t1819,plain,
multiply(X1,multiply(multiply(X1,identity),multiply(multiply(identity,X2),X3))) = multiply(multiply(X1,X1),multiply(multiply(multiply(X1,X1),multiply(X1,X1)),multiply(multiply(identity,X2),X3))),
inference(step,[status(thm)],[t672,t477]) ).
cnf(t1820,plain,
multiply(X1,multiply(multiply(X1,identity),multiply(multiply(identity,X2),X3))) = multiply(X1,multiply(multiply(X1,multiply(identity,X2)),multiply(identity,X3))),
inference(step,[status(thm)],[t1819,t642]) ).
cnf(t771,plain,
multiply(X1,multiply(multiply(X1,multiply(identity,X2)),multiply(identity,X3))) = multiply(X1,multiply(multiply(X1,identity),multiply(multiply(identity,X2),X3))),
inference(orient,[status(thm)],[t1820]) ).
cnf(t1018,plain,
multiply(multiply(X1,multiply(identity,X2)),multiply(identity,X3)) = multiply(multiply(X1,X1),multiply(multiply(X1,multiply(multiply(X1,multiply(multiply(X1,identity),multiply(multiply(identity,X2),X3))),identity)),identity)),
inference(cp,[status(thm)],[t1012,t771]) ).
cnf(t1836,plain,
multiply(multiply(X1,multiply(identity,X2)),multiply(identity,X3)) = multiply(multiply(X1,identity),multiply(multiply(identity,X2),X3)),
inference(step,[status(thm)],[t1018,t1012]) ).
cnf(t1115,plain,
multiply(multiply(X1,multiply(identity,X2)),multiply(identity,X3)) = multiply(multiply(X1,identity),multiply(multiply(identity,X2),X3)),
inference(orient,[status(thm)],[t1836]) ).
cnf(t1128,plain,
multiply(multiply(X1,identity),multiply(multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X2,identity),identity)))),X3)) = multiply(multiply(X1,X2),multiply(identity,X3)),
inference(cp,[status(thm)],[t1115,t29]) ).
cnf(t1845,plain,
multiply(multiply(X1,identity),multiply(X2,X3)) = multiply(multiply(X1,X2),multiply(identity,X3)),
inference(step,[status(thm)],[t1128,t29]) ).
cnf(t1293,plain,
multiply(multiply(X1,identity),multiply(X2,X3)) = multiply(multiply(X1,X2),multiply(identity,X3)),
inference(orient,[status(thm)],[t1845]) ).
cnf(t460,plain,
multiply(X1,multiply(identity,multiply(identity,X2))) = multiply(identity,multiply(identity,multiply(multiply(identity,multiply(multiply(X1,identity),identity)),X2))),
inference(cp,[status(thm)],[t422,t444]) ).
cnf(t564,plain,
multiply(identity,multiply(identity,multiply(multiply(identity,multiply(multiply(X1,identity),identity)),X2))) = multiply(X1,multiply(identity,multiply(identity,X2))),
inference(orient,[status(thm)],[t460]) ).
cnf(t565,plain,
multiply(X1,multiply(identity,multiply(identity,multiply(identity,X2)))) = multiply(identity,multiply(identity,multiply(identity,multiply(multiply(multiply(X1,identity),identity),X2)))),
inference(cp,[status(thm)],[t564,t444]) ).
cnf(t897,plain,
multiply(identity,multiply(identity,multiply(identity,multiply(multiply(multiply(X1,identity),identity),X2)))) = multiply(X1,multiply(identity,multiply(identity,multiply(identity,X2)))),
inference(orient,[status(thm)],[t565]) ).
cnf(t147,plain,
multiply(identity,multiply(multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))),X2)) = multiply(identity,multiply(identity,multiply(multiply(X1,identity),identity))),
inference(cp,[status(thm)],[t146,t109]) ).
cnf(t167,plain,
multiply(identity,multiply(multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))),X2)) = multiply(identity,multiply(identity,multiply(multiply(X1,identity),identity))),
inference(orient,[status(thm)],[t147]) ).
cnf(t172,plain,
multiply(identity,multiply(multiply(multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))),X2),X3)) = multiply(multiply(identity,multiply(identity,multiply(multiply(X1,identity),identity))),multiply(multiply(X3,multiply(X3,X3)),multiply(multiply(X3,multiply(X3,X3)),multiply(X3,multiply(X3,X3))))),
inference(cp,[status(thm)],[t146,t167]) ).
cnf(t1779,plain,
multiply(identity,multiply(multiply(multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))),X2),X3)) = multiply(identity,multiply(multiply(identity,multiply(multiply(X1,identity),identity)),X3)),
inference(step,[status(thm)],[t172,t146]) ).
cnf(t189,plain,
multiply(identity,multiply(multiply(multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))),X2),X3)) = multiply(identity,multiply(multiply(identity,multiply(multiply(X1,identity),identity)),X3)),
inference(orient,[status(thm)],[t1779]) ).
cnf(t197,plain,
multiply(identity,multiply(identity,multiply(multiply(multiply(multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))),X2),identity),identity))) = multiply(multiply(identity,multiply(identity,multiply(multiply(identity,multiply(multiply(X1,identity),identity)),X3))),multiply(X3,multiply(X3,X3))),
inference(cp,[status(thm)],[t109,t189]) ).
cnf(t1780,plain,
multiply(identity,multiply(identity,multiply(multiply(multiply(multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))),X2),identity),identity))) = multiply(identity,multiply(identity,multiply(multiply(multiply(identity,multiply(multiply(X1,identity),identity)),identity),identity))),
inference(step,[status(thm)],[t197,t109]) ).
cnf(t1781,plain,
multiply(identity,multiply(identity,multiply(multiply(multiply(multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))),X2),identity),identity))) = multiply(multiply(X1,identity),identity),
inference(step,[status(thm)],[t1780,t44]) ).
cnf(t218,plain,
multiply(identity,multiply(identity,multiply(multiply(multiply(multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))),X2),identity),identity))) = multiply(multiply(X1,identity),identity),
inference(orient,[status(thm)],[t1781]) ).
cnf(t229,plain,
multiply(multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))),X2) = multiply(identity,multiply(multiply(X1,identity),identity)),
inference(cp,[status(thm)],[t29,t218]) ).
cnf(t233,plain,
multiply(multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))),X2) = multiply(identity,multiply(multiply(X1,identity),identity)),
inference(orient,[status(thm)],[t229]) ).
cnf(t438,plain,
multiply(identity,multiply(multiply(multiply(identity,multiply(identity,multiply(multiply(X1,identity),identity))),identity),identity)) = multiply(multiply(X1,multiply(identity,multiply(X2,multiply(X2,X2)))),X2),
inference(cp,[status(thm)],[t233,t422]) ).
cnf(t1795,plain,
multiply(identity,multiply(multiply(identity,multiply(multiply(identity,multiply(multiply(X1,identity),identity)),identity)),identity)) = multiply(multiply(X1,multiply(identity,multiply(X2,multiply(X2,X2)))),X2),
inference(step,[status(thm)],[t438,t55]) ).
cnf(t1796,plain,
multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(multiply(X1,identity),identity),identity))),identity)) = multiply(multiply(X1,multiply(identity,multiply(X2,multiply(X2,X2)))),X2),
inference(step,[status(thm)],[t1795,t22]) ).
cnf(t1797,plain,
multiply(identity,multiply(identity,multiply(multiply(identity,multiply(multiply(multiply(X1,identity),identity),identity)),identity))) = multiply(multiply(X1,multiply(identity,multiply(X2,multiply(X2,X2)))),X2),
inference(step,[status(thm)],[t1796,t55]) ).
cnf(t1798,plain,
multiply(identity,multiply(identity,multiply(identity,multiply(multiply(multiply(multiply(X1,identity),identity),identity),identity)))) = multiply(multiply(X1,multiply(identity,multiply(X2,multiply(X2,X2)))),X2),
inference(step,[status(thm)],[t1797,t22]) ).
cnf(t1799,plain,
multiply(multiply(X1,identity),identity) = multiply(multiply(X1,multiply(identity,multiply(X2,multiply(X2,X2)))),X2),
inference(step,[status(thm)],[t1798,t29]) ).
cnf(t463,plain,
multiply(multiply(X1,multiply(identity,multiply(X2,multiply(X2,X2)))),X2) = multiply(multiply(X1,identity),identity),
inference(orient,[status(thm)],[t1799]) ).
cnf(t581,plain,
multiply(multiply(identity,identity),identity) = multiply(multiply(X1,multiply(identity,multiply(identity,multiply(multiply(identity,multiply(multiply(X1,identity),identity)),multiply(identity,multiply(multiply(X1,identity),identity)))))),multiply(identity,multiply(multiply(X1,identity),identity))),
inference(cp,[status(thm)],[t463,t564]) ).
cnf(t1803,plain,
multiply(identity,multiply(identity,identity)) = multiply(multiply(X1,multiply(identity,multiply(identity,multiply(multiply(identity,multiply(multiply(X1,identity),identity)),multiply(identity,multiply(multiply(X1,identity),identity)))))),multiply(identity,multiply(multiply(X1,identity),identity))),
inference(step,[status(thm)],[t581,t55]) ).
cnf(t1804,plain,
multiply(identity,identity) = multiply(multiply(X1,multiply(identity,multiply(identity,multiply(multiply(identity,multiply(multiply(X1,identity),identity)),multiply(identity,multiply(multiply(X1,identity),identity)))))),multiply(identity,multiply(multiply(X1,identity),identity))),
inference(step,[status(thm)],[t1803,t5]) ).
cnf(t1805,plain,
identity = multiply(multiply(X1,multiply(identity,multiply(identity,multiply(multiply(identity,multiply(multiply(X1,identity),identity)),multiply(identity,multiply(multiply(X1,identity),identity)))))),multiply(identity,multiply(multiply(X1,identity),identity))),
inference(step,[status(thm)],[t1804,t5]) ).
cnf(t1806,plain,
identity = multiply(multiply(X1,multiply(X1,multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X1,identity),identity)))))),multiply(identity,multiply(multiply(X1,identity),identity))),
inference(step,[status(thm)],[t1805,t564]) ).
cnf(t1807,plain,
identity = multiply(multiply(X1,multiply(X1,X1)),multiply(identity,multiply(multiply(X1,identity),identity))),
inference(step,[status(thm)],[t1806,t29]) ).
cnf(t583,plain,
multiply(multiply(X1,multiply(X1,X1)),multiply(identity,multiply(multiply(X1,identity),identity))) = identity,
inference(orient,[status(thm)],[t1807]) ).
cnf(t1404,plain,
multiply(multiply(X1,multiply(X1,X1)),multiply(identity,multiply(multiply(X1,identity),identity))) = identity,
inference(rw,[status(thm)],[t583]) ).
cnf(t1850,plain,
multiply(multiply(X1,identity),multiply(multiply(X1,X1),multiply(multiply(X1,identity),identity))) = identity,
inference(step,[status(thm)],[t1404,t1293]) ).
cnf(t1491,plain,
multiply(multiply(X1,identity),multiply(multiply(X1,X1),multiply(multiply(X1,identity),identity))) = identity,
inference(orient,[status(thm)],[t1850]) ).
cnf(t1506,plain,
multiply(X1,multiply(identity,multiply(identity,multiply(identity,multiply(multiply(multiply(X1,identity),multiply(X1,identity)),multiply(multiply(multiply(X1,identity),identity),identity)))))) = multiply(identity,multiply(identity,multiply(identity,identity))),
inference(cp,[status(thm)],[t897,t1491]) ).
cnf(t772,plain,
multiply(identity,multiply(multiply(identity,identity),multiply(multiply(identity,X1),multiply(identity,multiply(multiply(X2,identity),identity))))) = multiply(multiply(identity,multiply(identity,multiply(identity,X1))),X2),
inference(cp,[status(thm)],[t771,t477]) ).
cnf(t1831,plain,
multiply(identity,multiply(identity,multiply(multiply(identity,X1),multiply(identity,multiply(multiply(X2,identity),identity))))) = multiply(multiply(identity,multiply(identity,multiply(identity,X1))),X2),
inference(step,[status(thm)],[t772,t5]) ).
cnf(t1832,plain,
multiply(identity,multiply(identity,multiply(identity,multiply(X1,multiply(multiply(X2,identity),identity))))) = multiply(multiply(identity,multiply(identity,multiply(identity,X1))),X2),
inference(step,[status(thm)],[t1831,t444]) ).
cnf(t960,plain,
multiply(identity,multiply(identity,multiply(identity,multiply(X1,multiply(multiply(X2,identity),identity))))) = multiply(multiply(identity,multiply(identity,multiply(identity,X1))),X2),
inference(orient,[status(thm)],[t1832]) ).
cnf(t1851,plain,
multiply(X1,multiply(multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X1,identity),multiply(X1,identity))))),multiply(X1,identity))) = multiply(identity,multiply(identity,multiply(identity,identity))),
inference(step,[status(thm)],[t1506,t960]) ).
cnf(t110,plain,
multiply(identity,multiply(identity,multiply(multiply(identity,identity),identity))) = multiply(X1,multiply(multiply(multiply(X1,identity),identity),multiply(multiply(multiply(X1,identity),identity),multiply(multiply(X1,identity),identity)))),
inference(cp,[status(thm)],[t109,t29]) ).
cnf(t1768,plain,
multiply(identity,multiply(identity,multiply(identity,multiply(identity,identity)))) = multiply(X1,multiply(multiply(multiply(X1,identity),identity),multiply(multiply(multiply(X1,identity),identity),multiply(multiply(X1,identity),identity)))),
inference(step,[status(thm)],[t110,t22]) ).
cnf(t1769,plain,
multiply(identity,multiply(identity,multiply(identity,identity))) = multiply(X1,multiply(multiply(multiply(X1,identity),identity),multiply(multiply(multiply(X1,identity),identity),multiply(multiply(X1,identity),identity)))),
inference(step,[status(thm)],[t1768,t5]) ).
cnf(t1770,plain,
multiply(identity,multiply(identity,identity)) = multiply(X1,multiply(multiply(multiply(X1,identity),identity),multiply(multiply(multiply(X1,identity),identity),multiply(multiply(X1,identity),identity)))),
inference(step,[status(thm)],[t1769,t5]) ).
cnf(t1771,plain,
multiply(identity,identity) = multiply(X1,multiply(multiply(multiply(X1,identity),identity),multiply(multiply(multiply(X1,identity),identity),multiply(multiply(X1,identity),identity)))),
inference(step,[status(thm)],[t1770,t5]) ).
cnf(t1772,plain,
identity = multiply(X1,multiply(multiply(multiply(X1,identity),identity),multiply(multiply(multiply(X1,identity),identity),multiply(multiply(X1,identity),identity)))),
inference(step,[status(thm)],[t1771,t5]) ).
cnf(t121,plain,
multiply(X1,multiply(multiply(multiply(X1,identity),identity),multiply(multiply(multiply(X1,identity),identity),multiply(multiply(X1,identity),identity)))) = identity,
inference(orient,[status(thm)],[t1772]) ).
cnf(t471,plain,
multiply(multiply(multiply(X1,multiply(identity,multiply(multiply(identity,multiply(X2,multiply(X2,X2))),multiply(multiply(identity,multiply(X2,multiply(X2,X2))),multiply(identity,multiply(X2,multiply(X2,X2))))))),identity),identity) = multiply(multiply(multiply(X1,identity),identity),X2),
inference(cp,[status(thm)],[t463,t463]) ).
cnf(t376,plain,
multiply(identity,multiply(X1,multiply(X1,X1))) = multiply(multiply(identity,X1),multiply(multiply(multiply(X1,multiply(X1,X1)),multiply(multiply(X1,multiply(X1,X1)),multiply(X1,multiply(X1,X1)))),multiply(multiply(X1,multiply(X1,X1)),multiply(multiply(X1,multiply(X1,X1)),multiply(X1,multiply(X1,X1)))))),
inference(cp,[status(thm)],[t375,t375]) ).
cnf(t388,plain,
multiply(multiply(identity,X1),multiply(multiply(identity,X1),multiply(identity,X1))) = multiply(identity,multiply(X1,multiply(X1,X1))),
inference(orient,[status(thm)],[t376]) ).
cnf(t1810,plain,
multiply(multiply(multiply(X1,multiply(identity,multiply(identity,multiply(multiply(X2,multiply(X2,X2)),multiply(multiply(X2,multiply(X2,X2)),multiply(X2,multiply(X2,X2))))))),identity),identity) = multiply(multiply(multiply(X1,identity),identity),X2),
inference(step,[status(thm)],[t471,t388]) ).
cnf(t1811,plain,
multiply(multiply(multiply(X1,multiply(identity,multiply(identity,multiply(identity,X2)))),identity),identity) = multiply(multiply(multiply(X1,identity),identity),X2),
inference(step,[status(thm)],[t1810,t209]) ).
cnf(t605,plain,
multiply(multiply(multiply(X1,multiply(identity,multiply(identity,multiply(identity,X2)))),identity),identity) = multiply(multiply(multiply(X1,identity),identity),X2),
inference(orient,[status(thm)],[t1811]) ).
cnf(t607,plain,
multiply(multiply(multiply(X1,identity),identity),multiply(multiply(X2,identity),identity)) = multiply(multiply(multiply(X1,X2),identity),identity),
inference(cp,[status(thm)],[t605,t29]) ).
cnf(t686,plain,
multiply(multiply(multiply(X1,identity),identity),multiply(multiply(X2,identity),identity)) = multiply(multiply(multiply(X1,X2),identity),identity),
inference(orient,[status(thm)],[t607]) ).
cnf(t1813,plain,
multiply(X1,multiply(multiply(multiply(X1,identity),identity),multiply(multiply(multiply(X1,X1),identity),identity))) = identity,
inference(step,[status(thm)],[t121,t686]) ).
cnf(t1814,plain,
multiply(X1,multiply(multiply(multiply(X1,multiply(X1,X1)),identity),identity)) = identity,
inference(step,[status(thm)],[t1813,t686]) ).
cnf(t722,plain,
multiply(X1,multiply(multiply(multiply(X1,multiply(X1,X1)),identity),identity)) = identity,
inference(rw,[status(thm)],[t1814]) ).
cnf(t723,plain,
multiply(X1,multiply(multiply(multiply(X1,multiply(X1,X1)),identity),identity)) = identity,
inference(orient,[status(thm)],[t722]) ).
cnf(t1021,plain,
multiply(multiply(multiply(X1,multiply(X1,X1)),identity),identity) = multiply(multiply(X1,X1),multiply(multiply(X1,multiply(identity,identity)),identity)),
inference(cp,[status(thm)],[t1012,t723]) ).
cnf(t1837,plain,
multiply(multiply(multiply(X1,multiply(X1,X1)),identity),identity) = multiply(multiply(X1,X1),multiply(multiply(X1,identity),identity)),
inference(step,[status(thm)],[t1021,t5]) ).
cnf(t1175,plain,
multiply(multiply(multiply(X1,multiply(X1,X1)),identity),identity) = multiply(multiply(X1,X1),multiply(multiply(X1,identity),identity)),
inference(orient,[status(thm)],[t1837]) ).
cnf(t1193,plain,
multiply(X1,multiply(X1,X1)) = multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X1,X1),multiply(multiply(X1,identity),identity))))),
inference(cp,[status(thm)],[t29,t1175]) ).
cnf(t1844,plain,
multiply(X1,multiply(X1,X1)) = multiply(multiply(identity,multiply(identity,multiply(identity,multiply(X1,X1)))),X1),
inference(step,[status(thm)],[t1193,t960]) ).
cnf(t1263,plain,
multiply(multiply(identity,multiply(identity,multiply(identity,multiply(X1,X1)))),X1) = multiply(X1,multiply(X1,X1)),
inference(orient,[status(thm)],[t1844]) ).
cnf(t1852,plain,
multiply(X1,multiply(multiply(X1,identity),multiply(multiply(X1,identity),multiply(X1,identity)))) = multiply(identity,multiply(identity,multiply(identity,identity))),
inference(step,[status(thm)],[t1851,t1263]) ).
cnf(t1020,plain,
multiply(multiply(X1,identity),multiply(X2,identity)) = multiply(multiply(X1,X1),multiply(multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X2),identity)),identity)),identity)),
inference(cp,[status(thm)],[t1012,t751]) ).
cnf(t1834,plain,
multiply(multiply(X1,identity),multiply(X2,identity)) = multiply(multiply(X1,X2),identity),
inference(step,[status(thm)],[t1020,t1012]) ).
cnf(t1047,plain,
multiply(multiply(X1,identity),multiply(X2,identity)) = multiply(multiply(X1,X2),identity),
inference(orient,[status(thm)],[t1834]) ).
cnf(t1853,plain,
multiply(X1,multiply(multiply(X1,identity),multiply(multiply(X1,X1),identity))) = multiply(identity,multiply(identity,multiply(identity,identity))),
inference(step,[status(thm)],[t1852,t1047]) ).
cnf(t1854,plain,
multiply(X1,multiply(multiply(X1,multiply(X1,X1)),identity)) = multiply(identity,multiply(identity,multiply(identity,identity))),
inference(step,[status(thm)],[t1853,t1047]) ).
cnf(t1855,plain,
multiply(X1,multiply(multiply(X1,multiply(X1,X1)),identity)) = multiply(identity,multiply(identity,identity)),
inference(step,[status(thm)],[t1854,t5]) ).
cnf(t1856,plain,
multiply(X1,multiply(multiply(X1,multiply(X1,X1)),identity)) = multiply(identity,identity),
inference(step,[status(thm)],[t1855,t5]) ).
cnf(t1857,plain,
multiply(X1,multiply(multiply(X1,multiply(X1,X1)),identity)) = identity,
inference(step,[status(thm)],[t1856,t5]) ).
cnf(t1508,plain,
multiply(X1,multiply(multiply(X1,multiply(X1,X1)),identity)) = identity,
inference(orient,[status(thm)],[t1857]) ).
cnf(t1516,plain,
X1 = multiply(X2,multiply(multiply(X2,multiply(multiply(X2,X2),identity)),multiply(multiply(multiply(X1,multiply(X1,X1)),identity),multiply(multiply(multiply(X1,multiply(X1,X1)),identity),multiply(multiply(X1,multiply(X1,X1)),identity))))),
inference(cp,[status(thm)],[t2,t1508]) ).
cnf(t235,plain,
multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))) = multiply(X3,multiply(multiply(X3,multiply(multiply(X3,X3),multiply(identity,multiply(multiply(X1,identity),identity)))),multiply(X2,multiply(X2,X2)))),
inference(cp,[status(thm)],[t2,t233]) ).
cnf(t297,plain,
multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X1),multiply(identity,multiply(multiply(X2,identity),identity)))),multiply(X3,multiply(X3,X3)))) = multiply(identity,multiply(X2,multiply(X3,multiply(X3,X3)))),
inference(orient,[status(thm)],[t235]) ).
cnf(t301,plain,
multiply(identity,multiply(identity,multiply(X1,multiply(X1,X1)))) = multiply(X2,multiply(multiply(X2,multiply(multiply(X2,X2),multiply(identity,multiply(identity,multiply(identity,identity))))),multiply(X1,multiply(X1,X1)))),
inference(cp,[status(thm)],[t297,t55]) ).
cnf(t1785,plain,
multiply(identity,multiply(identity,multiply(X1,multiply(X1,X1)))) = multiply(X2,multiply(multiply(X2,multiply(multiply(X2,X2),multiply(identity,multiply(identity,identity)))),multiply(X1,multiply(X1,X1)))),
inference(step,[status(thm)],[t301,t5]) ).
cnf(t1786,plain,
multiply(identity,multiply(identity,multiply(X1,multiply(X1,X1)))) = multiply(X2,multiply(multiply(X2,multiply(multiply(X2,X2),multiply(identity,identity))),multiply(X1,multiply(X1,X1)))),
inference(step,[status(thm)],[t1785,t5]) ).
cnf(t1787,plain,
multiply(identity,multiply(identity,multiply(X1,multiply(X1,X1)))) = multiply(X2,multiply(multiply(X2,multiply(multiply(X2,X2),identity)),multiply(X1,multiply(X1,X1)))),
inference(step,[status(thm)],[t1786,t5]) ).
cnf(t315,plain,
multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X1),identity)),multiply(X2,multiply(X2,X2)))) = multiply(identity,multiply(identity,multiply(X2,multiply(X2,X2)))),
inference(orient,[status(thm)],[t1787]) ).
cnf(t1860,plain,
X1 = multiply(identity,multiply(identity,multiply(multiply(multiply(X1,multiply(X1,X1)),identity),multiply(multiply(multiply(X1,multiply(X1,X1)),identity),multiply(multiply(X1,multiply(X1,X1)),identity))))),
inference(step,[status(thm)],[t1516,t315]) ).
cnf(t1861,plain,
X1 = multiply(identity,multiply(identity,multiply(multiply(multiply(X1,multiply(X1,X1)),identity),multiply(multiply(multiply(X1,multiply(X1,X1)),multiply(X1,multiply(X1,X1))),identity)))),
inference(step,[status(thm)],[t1860,t1047]) ).
cnf(t1862,plain,
X1 = multiply(identity,multiply(identity,multiply(multiply(multiply(X1,multiply(X1,X1)),multiply(multiply(X1,multiply(X1,X1)),multiply(X1,multiply(X1,X1)))),identity))),
inference(step,[status(thm)],[t1861,t1047]) ).
cnf(t210,plain,
multiply(identity,multiply(multiply(multiply(X1,multiply(X1,X1)),multiply(multiply(X1,multiply(X1,X1)),multiply(X1,multiply(X1,X1)))),identity)) = multiply(multiply(identity,multiply(identity,X1)),identity),
inference(cp,[status(thm)],[t55,t209]) ).
cnf(t1782,plain,
multiply(identity,multiply(multiply(multiply(X1,multiply(X1,X1)),multiply(multiply(X1,multiply(X1,X1)),multiply(X1,multiply(X1,X1)))),identity)) = multiply(identity,multiply(multiply(identity,X1),identity)),
inference(step,[status(thm)],[t210,t55]) ).
cnf(t1783,plain,
multiply(identity,multiply(multiply(multiply(X1,multiply(X1,X1)),multiply(multiply(X1,multiply(X1,X1)),multiply(X1,multiply(X1,X1)))),identity)) = multiply(identity,multiply(identity,multiply(X1,identity))),
inference(step,[status(thm)],[t1782,t22]) ).
cnf(t242,plain,
multiply(identity,multiply(multiply(multiply(X1,multiply(X1,X1)),multiply(multiply(X1,multiply(X1,X1)),multiply(X1,multiply(X1,X1)))),identity)) = multiply(identity,multiply(identity,multiply(X1,identity))),
inference(orient,[status(thm)],[t1783]) ).
cnf(t1863,plain,
X1 = multiply(identity,multiply(identity,multiply(identity,multiply(X1,identity)))),
inference(step,[status(thm)],[t1862,t242]) ).
cnf(t1556,plain,
multiply(identity,multiply(identity,multiply(identity,multiply(X1,identity)))) = X1,
inference(orient,[status(thm)],[t1863]) ).
cnf(t1866,plain,
multiply(X1,identity) = X1,
inference(step,[status(thm)],[t29,t1556]) ).
cnf(t1595,plain,
multiply(X1,identity) = X1,
inference(rw,[status(thm)],[t1866]) ).
cnf(t1596,plain,
multiply(X1,identity) = X1,
inference(orient,[status(thm)],[t1595]) ).
cnf(t1891,plain,
multiply(X1,multiply(X2,X3)) = multiply(multiply(X1,X2),multiply(identity,X3)),
inference(step,[status(thm)],[t1293,t1596]) ).
cnf(t1615,plain,
multiply(X1,multiply(X2,X3)) = multiply(multiply(X1,X2),multiply(identity,X3)),
inference(rw,[status(thm)],[t1891]) ).
cnf(t1669,plain,
multiply(multiply(X1,X2),multiply(identity,X3)) = multiply(X1,multiply(X2,X3)),
inference(orient,[status(thm)],[t1615]) ).
cnf(t1613,plain,
X1 = multiply(X2,multiply(multiply(X2,multiply(multiply(X2,X2),X1)),multiply(identity,multiply(identity,identity)))),
inference(cp,[status(thm)],[t2,t1596]) ).
cnf(t1940,plain,
X1 = multiply(X2,multiply(X2,multiply(multiply(multiply(X2,X2),X1),multiply(identity,identity)))),
inference(step,[status(thm)],[t1613,t1669]) ).
cnf(t1941,plain,
X1 = multiply(X2,multiply(X2,multiply(multiply(X2,X2),multiply(X1,identity)))),
inference(step,[status(thm)],[t1940,t1669]) ).
cnf(t1942,plain,
X1 = multiply(X2,multiply(X2,multiply(multiply(X2,X2),X1))),
inference(step,[status(thm)],[t1941,t1596]) ).
cnf(t1698,plain,
multiply(X1,multiply(X1,multiply(multiply(X1,X1),X2))) = X2,
inference(orient,[status(thm)],[t1942]) ).
cnf(t1875,plain,
multiply(multiply(X1,multiply(identity,multiply(X2,multiply(X2,X2)))),X2) = multiply(X1,identity),
inference(step,[status(thm)],[t463,t1596]) ).
cnf(t1876,plain,
multiply(multiply(X1,multiply(identity,multiply(X2,multiply(X2,X2)))),X2) = X1,
inference(step,[status(thm)],[t1875,t1596]) ).
cnf(t1601,plain,
multiply(multiply(X1,multiply(identity,multiply(X2,multiply(X2,X2)))),X2) = X1,
inference(orient,[status(thm)],[t1876]) ).
cnf(t1702,plain,
X1 = multiply(multiply(identity,multiply(X1,multiply(X1,X1))),multiply(multiply(identity,multiply(X1,multiply(X1,X1))),multiply(identity,multiply(X1,multiply(X1,X1))))),
inference(cp,[status(thm)],[t1698,t1601]) ).
cnf(t1943,plain,
X1 = multiply(identity,multiply(multiply(X1,multiply(X1,X1)),multiply(multiply(X1,multiply(X1,X1)),multiply(X1,multiply(X1,X1))))),
inference(step,[status(thm)],[t1702,t388]) ).
cnf(t1944,plain,
X1 = multiply(identity,multiply(identity,X1)),
inference(step,[status(thm)],[t1943,t209]) ).
cnf(t1712,plain,
multiply(identity,multiply(identity,X1)) = X1,
inference(orient,[status(thm)],[t1944]) ).
cnf(t1713,plain,
multiply(multiply(identity,identity),X1) = X1,
inference(cp,[status(thm)],[t1712,t1698]) ).
cnf(t1949,plain,
multiply(identity,X1) = X1,
inference(step,[status(thm)],[t1713,t5]) ).
cnf(t1727,plain,
multiply(identity,X1) = X1,
inference(orient,[status(thm)],[t1949]) ).
cnf(t1952,plain,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
inference(step,[status(thm)],[t1669,t1727]) ).
cnf(t1734,plain,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
inference(rw,[status(thm)],[t1952]) ).
cnf(t1738,plain,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
inference(orient,[status(thm)],[t1734]) ).
cnf(goal_0,negated_conjecture,
multiply(multiply(a,b),c) != multiply(a,multiply(b,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
multiply(a,multiply(b,c)) != multiply(a,multiply(b,c)),
inference(rw,[status(thm)],[goal_0,t1738]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP122-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/0.35 % Computer : n014.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Wed Sep 23 13:34:48 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.34/0.86 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.34/0.86 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------