TSTP Solution File: GRP051-1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP051-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n015.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 : 600s
% DateTime : Sat Jul 16 11:35:29 EDT 2022
% Result : Unsatisfiable 26.03s 26.22s
% Output : Refutation 26.13s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
multiply(multiply(inverse(multiply(X,inverse(multiply(Y,Z)))),multiply(X,inverse(Z))),inverse(multiply(inverse(Z),Z))) = Y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
cnf(prove_these_axioms,negated_conjecture,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms) ).
cnf(3,plain,
multiply(multiply(inverse(X),multiply(multiply(inverse(multiply(Y,inverse(multiply(X,Z)))),multiply(Y,inverse(Z))),inverse(Z))),inverse(multiply(inverse(Z),Z))) = inverse(Z),
inference('PARAMODULATE',[status(thm)],[single_axiom,single_axiom,theory(equality)]) ).
cnf(4,plain,
multiply(multiply(inverse(multiply(multiply(inverse(multiply(X,inverse(multiply(Y,Z)))),multiply(X,inverse(Z))),inverse(multiply(U,multiply(inverse(Z),Z))))),Y),inverse(multiply(inverse(multiply(inverse(Z),Z)),multiply(inverse(Z),Z)))) = U,
inference('PARAMODULATE',[status(thm)],[single_axiom,single_axiom,theory(equality)]) ).
cnf(5,plain,
multiply(multiply(inverse(multiply(X,inverse(Y))),multiply(X,inverse(inverse(multiply(inverse(Z),Z))))),inverse(multiply(inverse(inverse(multiply(inverse(Z),Z))),inverse(multiply(inverse(Z),Z))))) = multiply(inverse(multiply(U,inverse(multiply(Y,Z)))),multiply(U,inverse(Z))),
inference('PARAMODULATE',[status(thm)],[single_axiom,single_axiom,theory(equality)]) ).
cnf(10,plain,
multiply(multiply(inverse(X),multiply(multiply(inverse(multiply(multiply(inverse(multiply(Y,inverse(multiply(Z,U)))),multiply(Y,inverse(U))),inverse(multiply(X,multiply(inverse(U),U))))),Z),inverse(multiply(inverse(U),U)))),inverse(multiply(inverse(multiply(inverse(U),U)),multiply(inverse(U),U)))) = inverse(multiply(inverse(U),U)),
inference('PARAMODULATE',[status(thm)],[3,single_axiom,theory(equality)]) ).
cnf(42,plain,
multiply(inverse(multiply(X,inverse(multiply(multiply(Y,inverse(multiply(inverse(Z),Z))),Z)))),multiply(X,inverse(Z))) = Y,
inference('PARAMODULATE',[status(thm)],[single_axiom,5,theory(equality)]) ).
cnf(43,plain,
multiply(inverse(multiply(X,inverse(multiply(Y,Z)))),multiply(X,inverse(Z))) = multiply(inverse(multiply(U,inverse(multiply(Y,Z)))),multiply(U,inverse(Z))),
inference('PARAMODULATE',[status(thm)],[5,5,theory(equality)]) ).
cnf(46,plain,
multiply(multiply(inverse(X),multiply(multiply(inverse(multiply(Y,inverse(multiply(X,Z)))),multiply(Y,inverse(Z))),inverse(inverse(multiply(inverse(U),U))))),inverse(multiply(inverse(inverse(multiply(inverse(U),U))),inverse(multiply(inverse(U),U))))) = multiply(inverse(multiply(V,inverse(multiply(multiply(inverse(Z),Z),U)))),multiply(V,inverse(U))),
inference('PARAMODULATE',[status(thm)],[5,single_axiom,theory(equality)]) ).
cnf(79,plain,
multiply(multiply(inverse(multiply(X,inverse(multiply(inverse(multiply(Y,inverse(Z))),multiply(Y,inverse(inverse(multiply(inverse(U),U)))))))),multiply(X,inverse(inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(U),U))),inverse(multiply(inverse(U),U))))),inverse(multiply(inverse(inverse(multiply(inverse(U),U))),inverse(multiply(inverse(U),U))))))))),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(U),U))),inverse(multiply(inverse(U),U))))),inverse(multiply(inverse(inverse(multiply(inverse(U),U))),inverse(multiply(inverse(U),U))))))),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(U),U))),inverse(multiply(inverse(U),U))))),inverse(multiply(inverse(inverse(multiply(inverse(U),U))),inverse(multiply(inverse(U),U))))))))) = multiply(inverse(multiply(V,inverse(multiply(inverse(multiply(W,inverse(multiply(Z,U)))),multiply(W,inverse(U)))))),multiply(V,inverse(inverse(multiply(inverse(inverse(multiply(inverse(U),U))),inverse(multiply(inverse(U),U))))))),
inference('PARAMODULATE',[status(thm)],[5,5,theory(equality)]) ).
cnf(81,plain,
multiply(multiply(inverse(multiply(X,inverse(Y))),multiply(X,inverse(multiply(Z,inverse(U))))),inverse(multiply(inverse(multiply(Z,inverse(U))),multiply(Z,inverse(U))))) = inverse(multiply(Z,inverse(multiply(multiply(Y,inverse(multiply(inverse(U),U))),U)))),
inference('PARAMODULATE',[status(thm)],[single_axiom,42,theory(equality)]) ).
cnf(93,plain,
multiply(inverse(multiply(X,inverse(Y))),multiply(X,inverse(inverse(multiply(inverse(multiply(inverse(Z),Z)),multiply(inverse(Z),Z)))))) = inverse(multiply(multiply(inverse(multiply(U,inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(Z),Z)),multiply(inverse(Z),Z)))),inverse(multiply(inverse(multiply(inverse(Z),Z)),multiply(inverse(Z),Z))))),Z)))),multiply(U,inverse(Z))),inverse(multiply(Y,multiply(inverse(Z),Z))))),
inference('PARAMODULATE',[status(thm)],[42,4,theory(equality)]) ).
cnf(96,plain,
multiply(inverse(multiply(X,inverse(Y))),multiply(X,inverse(multiply(Z,inverse(U))))) = multiply(inverse(multiply(V,inverse(Y))),multiply(V,inverse(multiply(Z,inverse(U))))),
inference('PARAMODULATE',[status(thm)],[43,42,theory(equality)]) ).
cnf(108,plain,
multiply(inverse(multiply(X,inverse(Y))),multiply(X,inverse(Z))) = multiply(inverse(multiply(U,inverse(Y))),multiply(U,inverse(Z))),
inference('PARAMODULATE',[status(thm)],[96,single_axiom,theory(equality)]) ).
cnf(109,plain,
multiply(inverse(X),multiply(multiply(inverse(multiply(Y,inverse(multiply(X,Z)))),multiply(Y,inverse(Z))),inverse(U))) = multiply(inverse(multiply(V,inverse(multiply(inverse(Z),Z)))),multiply(V,inverse(U))),
inference('PARAMODULATE',[status(thm)],[108,single_axiom,theory(equality)]) ).
cnf(114,plain,
inverse(multiply(X,inverse(multiply(multiply(multiply(inverse(multiply(Y,inverse(Z))),multiply(Y,inverse(U))),inverse(multiply(inverse(U),U))),U)))) = inverse(multiply(X,inverse(Z))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[single_axiom,108,theory(equality)]),81,theory(equality)]) ).
cnf(134,plain,
inverse(multiply(X,inverse(multiply(multiply(multiply(inverse(Y),multiply(multiply(inverse(multiply(Z,inverse(multiply(Y,U)))),multiply(Z,inverse(U))),inverse(V))),inverse(multiply(inverse(V),V))),V)))) = inverse(multiply(X,inverse(multiply(inverse(U),U)))),
inference('PARAMODULATE',[status(thm)],[114,single_axiom,theory(equality)]) ).
cnf(165,plain,
multiply(inverse(X),X) = multiply(inverse(multiply(Y,inverse(multiply(inverse(Z),Z)))),multiply(Y,inverse(multiply(inverse(Z),Z)))),
inference('PARAMODULATE',[status(thm)],[109,single_axiom,theory(equality)]) ).
cnf(215,plain,
multiply(inverse(X),X) = multiply(inverse(Y),Y),
inference('PARAMODULATE',[status(thm)],[165,165,theory(equality)]) ).
cnf(216,plain,
( multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference('REWRITE',[status(thm)],[prove_these_axioms,215,theory(equality)]) ).
cnf(217,plain,
( multiply(multiply(inverse(X),X),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference('PARAMODULATE',[status(thm)],[216,215,theory(equality)]) ).
cnf(218,plain,
multiply(multiply(inverse(multiply(X,inverse(multiply(Y,Z)))),multiply(X,inverse(Z))),inverse(multiply(inverse(U),U))) = Y,
inference('PARAMODULATE',[status(thm)],[single_axiom,215,theory(equality)]) ).
cnf(223,plain,
multiply(inverse(multiply(inverse(X),X)),multiply(inverse(inverse(Y)),inverse(Z))) = multiply(inverse(multiply(U,inverse(Y))),multiply(U,inverse(Z))),
inference('PARAMODULATE',[status(thm)],[108,215,theory(equality)]) ).
cnf(224,plain,
multiply(inverse(multiply(inverse(inverse(X)),inverse(Y))),multiply(inverse(Z),Z)) = multiply(inverse(multiply(U,inverse(Y))),multiply(U,inverse(X))),
inference('PARAMODULATE',[status(thm)],[108,215,theory(equality)]) ).
cnf(225,plain,
multiply(inverse(multiply(X,inverse(multiply(multiply(Y,inverse(multiply(inverse(Z),Z))),U)))),multiply(X,inverse(U))) = Y,
inference('PARAMODULATE',[status(thm)],[42,215,theory(equality)]) ).
cnf(227,plain,
inverse(multiply(X,inverse(multiply(multiply(multiply(inverse(Y),Y),inverse(multiply(inverse(Z),Z))),Z)))) = inverse(multiply(X,inverse(Z))),
inference('PARAMODULATE',[status(thm)],[114,215,theory(equality)]) ).
cnf(232,plain,
multiply(multiply(inverse(multiply(multiply(inverse(multiply(X,inverse(multiply(Y,Z)))),multiply(X,inverse(Z))),inverse(multiply(U,multiply(inverse(Z),Z))))),Y),inverse(multiply(inverse(V),V))) = U,
inference('PARAMODULATE',[status(thm)],[4,215,theory(equality)]) ).
cnf(237,plain,
multiply(multiply(inverse(X),X),inverse(multiply(inverse(multiply(inverse(Y),Y)),multiply(inverse(Y),Y)))) = inverse(multiply(inverse(Y),Y)),
inference('REWRITE',[status(thm)],[10,232,theory(equality)]) ).
cnf(240,plain,
multiply(multiply(inverse(X),X),inverse(multiply(inverse(Y),Y))) = inverse(multiply(inverse(Z),Z)),
inference('PARAMODULATE',[status(thm)],[237,215,theory(equality)]) ).
cnf(241,plain,
inverse(multiply(inverse(X),X)) = inverse(multiply(inverse(Y),Y)),
inference('PARAMODULATE',[status(thm)],[240,240,theory(equality)]) ).
cnf(253,plain,
multiply(inverse(multiply(inverse(X),X)),multiply(inverse(Y),Y)) = multiply(inverse(Z),Z),
inference('PARAMODULATE',[status(thm)],[215,241,theory(equality)]) ).
cnf(295,plain,
multiply(multiply(inverse(multiply(inverse(X),X)),multiply(inverse(inverse(multiply(Y,Z))),inverse(Z))),inverse(multiply(inverse(U),U))) = Y,
inference('PARAMODULATE',[status(thm)],[218,215,theory(equality)]) ).
cnf(296,plain,
multiply(multiply(inverse(multiply(inverse(inverse(X)),inverse(multiply(Y,X)))),multiply(inverse(Z),Z)),inverse(multiply(inverse(U),U))) = Y,
inference('PARAMODULATE',[status(thm)],[218,215,theory(equality)]) ).
cnf(297,plain,
multiply(multiply(inverse(multiply(X,inverse(multiply(inverse(Y),Y)))),multiply(X,inverse(Z))),inverse(multiply(inverse(U),U))) = inverse(Z),
inference('PARAMODULATE',[status(thm)],[218,215,theory(equality)]) ).
cnf(302,plain,
multiply(multiply(inverse(X),multiply(multiply(inverse(multiply(Y,inverse(multiply(X,Z)))),multiply(Y,inverse(Z))),inverse(U))),inverse(multiply(inverse(V),V))) = inverse(U),
inference('PARAMODULATE',[status(thm)],[218,218,theory(equality)]) ).
cnf(303,plain,
inverse(multiply(X,inverse(multiply(inverse(Y),Y)))) = inverse(multiply(X,inverse(multiply(inverse(Z),Z)))),
inference('REWRITE',[status(thm)],[134,302,theory(equality)]) ).
cnf(304,plain,
inverse(inverse(multiply(inverse(X),X))) = multiply(inverse(multiply(Y,inverse(multiply(multiply(inverse(Z),Z),X)))),multiply(Y,inverse(X))),
inference('REWRITE',[status(thm)],[46,302,theory(equality)]) ).
cnf(325,plain,
inverse(inverse(multiply(inverse(X),X))) = inverse(multiply(multiply(inverse(Y),Y),inverse(multiply(inverse(Z),Z)))),
inference('PARAMODULATE',[status(thm)],[303,240,theory(equality)]) ).
cnf(355,plain,
multiply(inverse(inverse(multiply(inverse(X),X))),inverse(multiply(inverse(Y),Y))) = multiply(inverse(Z),Z),
inference('PARAMODULATE',[status(thm)],[218,304,theory(equality)]) ).
cnf(362,plain,
inverse(inverse(multiply(inverse(inverse(multiply(inverse(X),X))),inverse(multiply(inverse(X),X))))) = multiply(inverse(multiply(Y,inverse(inverse(multiply(inverse(Z),Z))))),multiply(Y,inverse(inverse(multiply(inverse(X),X))))),
inference('PARAMODULATE',[status(thm)],[304,240,theory(equality)]) ).
cnf(399,plain,
inverse(inverse(multiply(inverse(X),X))) = inverse(inverse(multiply(inverse(Y),Y))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[218,355,theory(equality)]),297,theory(equality)]) ).
cnf(433,plain,
inverse(inverse(multiply(inverse(multiply(multiply(inverse(X),X),inverse(multiply(inverse(Y),Y)))),inverse(multiply(inverse(Z),Z))))) = inverse(inverse(multiply(inverse(U),U))),
inference('PARAMODULATE',[status(thm)],[399,325,theory(equality)]) ).
cnf(460,plain,
multiply(inverse(inverse(multiply(inverse(multiply(multiply(inverse(X),X),inverse(multiply(inverse(Y),Y)))),inverse(multiply(inverse(Z),Z))))),inverse(multiply(inverse(U),U))) = multiply(inverse(V),V),
inference('PARAMODULATE',[status(thm)],[355,325,theory(equality)]) ).
cnf(470,plain,
inverse(inverse(multiply(inverse(X),X))) = inverse(multiply(multiply(inverse(Y),Y),inverse(multiply(inverse(multiply(multiply(inverse(Z),Z),inverse(multiply(inverse(U),U)))),inverse(multiply(inverse(V),V)))))),
inference('PARAMODULATE',[status(thm)],[325,325,theory(equality)]) ).
cnf(970,plain,
multiply(X,inverse(multiply(inverse(Y),Y))) = multiply(X,inverse(multiply(inverse(Z),Z))),
inference('PARAMODULATE',[status(thm)],[218,225,theory(equality)]) ).
cnf(1446,plain,
multiply(multiply(inverse(multiply(inverse(X),X)),multiply(inverse(inverse(Y)),inverse(multiply(Z,inverse(U))))),inverse(multiply(inverse(V),V))) = inverse(multiply(Z,inverse(multiply(multiply(Y,inverse(multiply(inverse(W),W))),U)))),
inference('PARAMODULATE',[status(thm)],[295,225,theory(equality)]) ).
cnf(1494,plain,
multiply(multiply(inverse(multiply(inverse(inverse(X)),inverse(multiply(inverse(Y),Y)))),multiply(inverse(Z),Z)),inverse(multiply(inverse(U),U))) = inverse(X),
inference('PARAMODULATE',[status(thm)],[296,215,theory(equality)]) ).
cnf(1894,plain,
inverse(multiply(X,inverse(multiply(inverse(multiply(inverse(Y),Y)),Z)))) = inverse(multiply(X,inverse(Z))),
inference('PARAMODULATE',[status(thm)],[227,240,theory(equality)]) ).
cnf(1912,plain,
multiply(inverse(multiply(X,inverse(Y))),multiply(X,inverse(inverse(multiply(inverse(multiply(inverse(Z),Z)),multiply(inverse(Z),Z)))))) = inverse(multiply(multiply(inverse(multiply(U,inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(Z),Z)),multiply(inverse(Z),Z)))),inverse(multiply(inverse(Z),Z)))),Z)))),multiply(U,inverse(Z))),inverse(multiply(Y,multiply(inverse(Z),Z))))),
inference('REWRITE',[status(thm)],[93,1894,theory(equality)]) ).
cnf(1915,plain,
inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(X),X)),Y))),inverse(Y))) = inverse(multiply(inverse(Z),Z)),
inference('PARAMODULATE',[status(thm)],[241,1894,theory(equality)]) ).
cnf(1922,plain,
inverse(multiply(X,inverse(multiply(inverse(multiply(Y,inverse(Z))),multiply(Y,inverse(U)))))) = inverse(multiply(X,inverse(multiply(inverse(inverse(Z)),inverse(U))))),
inference('PARAMODULATE',[status(thm)],[1894,223,theory(equality)]) ).
cnf(1944,plain,
multiply(multiply(inverse(multiply(X,inverse(multiply(inverse(inverse(Y)),inverse(inverse(multiply(inverse(Z),Z))))))),multiply(X,inverse(inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(Z),Z))),inverse(multiply(inverse(Z),Z))))),inverse(multiply(inverse(inverse(multiply(inverse(Z),Z))),inverse(multiply(inverse(Z),Z))))))))),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(Z),Z))),inverse(multiply(inverse(Z),Z))))),inverse(multiply(inverse(inverse(multiply(inverse(Z),Z))),inverse(multiply(inverse(Z),Z))))))),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(Z),Z))),inverse(multiply(inverse(Z),Z))))),inverse(multiply(inverse(inverse(multiply(inverse(Z),Z))),inverse(multiply(inverse(Z),Z))))))))) = multiply(inverse(multiply(U,inverse(multiply(inverse(inverse(multiply(Y,Z))),inverse(Z))))),multiply(U,inverse(inverse(multiply(inverse(inverse(multiply(inverse(Z),Z))),inverse(multiply(inverse(Z),Z))))))),
inference('REWRITE',[status(thm)],[79,1922,theory(equality)]) ).
cnf(1949,plain,
inverse(multiply(X,inverse(inverse(multiply(inverse(Y),Y))))) = inverse(multiply(X,inverse(inverse(multiply(inverse(Z),Z))))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1894,970,theory(equality)]),1894,theory(equality)]) ).
cnf(1961,plain,
inverse(multiply(X,inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(Y),Y))),inverse(multiply(inverse(Z),Z)))),U)))) = inverse(multiply(X,inverse(U))),
inference('PARAMODULATE',[status(thm)],[1894,355,theory(equality)]) ).
cnf(1962,plain,
multiply(inverse(multiply(X,inverse(Y))),multiply(X,inverse(inverse(multiply(inverse(multiply(inverse(Z),Z)),multiply(inverse(Z),Z)))))) = inverse(multiply(multiply(inverse(multiply(U,inverse(Z))),multiply(U,inverse(Z))),inverse(multiply(Y,multiply(inverse(Z),Z))))),
inference('REWRITE',[status(thm)],[1912,1961,theory(equality)]) ).
cnf(2102,plain,
inverse(inverse(multiply(inverse(inverse(multiply(inverse(X),X))),inverse(multiply(inverse(X),X))))) = multiply(inverse(Y),Y),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[215,1949,theory(equality)]),362,theory(equality)]) ).
cnf(2270,plain,
inverse(inverse(X)) = inverse(inverse(multiply(inverse(multiply(inverse(Y),Y)),X))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[218,1915,theory(equality)]),297,theory(equality)]) ).
cnf(2279,plain,
multiply(inverse(multiply(X,inverse(Y))),multiply(X,inverse(inverse(multiply(inverse(Z),Z))))) = inverse(multiply(multiply(inverse(multiply(U,inverse(Z))),multiply(U,inverse(Z))),inverse(multiply(Y,multiply(inverse(Z),Z))))),
inference('REWRITE',[status(thm)],[1962,2270,theory(equality)]) ).
cnf(2295,plain,
multiply(inverse(inverse(X)),inverse(multiply(inverse(multiply(inverse(Y),Y)),X))) = multiply(inverse(Z),Z),
inference('PARAMODULATE',[status(thm)],[215,2270,theory(equality)]) ).
cnf(2312,plain,
inverse(inverse(inverse(multiply(inverse(X),X)))) = inverse(inverse(inverse(multiply(inverse(Y),Y)))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2270,970,theory(equality)]),2270,theory(equality)]) ).
cnf(2320,plain,
inverse(inverse(inverse(inverse(multiply(inverse(X),X))))) = inverse(inverse(inverse(inverse(multiply(inverse(Y),Y))))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2270,1949,theory(equality)]),2270,theory(equality)]) ).
cnf(2505,plain,
inverse(inverse(inverse(inverse(multiply(inverse(multiply(multiply(inverse(X),X),inverse(multiply(inverse(Y),Y)))),inverse(multiply(inverse(Z),Z))))))) = inverse(inverse(inverse(inverse(multiply(inverse(U),U))))),
inference('PARAMODULATE',[status(thm)],[2320,325,theory(equality)]) ).
cnf(2566,plain,
inverse(inverse(multiply(inverse(X),X))) = multiply(inverse(Y),Y),
inference('PARAMODULATE',[status(thm)],[399,2102,theory(equality)]) ).
cnf(2567,plain,
inverse(inverse(inverse(multiply(inverse(X),X)))) = inverse(multiply(inverse(Y),Y)),
inference('PARAMODULATE',[status(thm)],[2312,2566,theory(equality)]) ).
cnf(2570,plain,
inverse(inverse(inverse(inverse(multiply(inverse(X),X))))) = inverse(inverse(multiply(inverse(Y),Y))),
inference('PARAMODULATE',[status(thm)],[2320,2566,theory(equality)]) ).
cnf(2576,plain,
inverse(multiply(X,inverse(inverse(multiply(inverse(Y),Y))))) = inverse(multiply(X,multiply(inverse(Z),Z))),
inference('PARAMODULATE',[status(thm)],[1949,2566,theory(equality)]) ).
cnf(2578,plain,
multiply(X,inverse(multiply(inverse(Y),Y))) = multiply(X,inverse(inverse(inverse(multiply(inverse(Z),Z))))),
inference('PARAMODULATE',[status(thm)],[970,2566,theory(equality)]) ).
cnf(2581,plain,
multiply(inverse(inverse(multiply(inverse(X),X))),inverse(multiply(inverse(Y),Y))) = inverse(multiply(inverse(Z),Z)),
inference('PARAMODULATE',[status(thm)],[240,2566,theory(equality)]) ).
cnf(2593,plain,
multiply(multiply(inverse(X),X),inverse(inverse(inverse(multiply(inverse(Y),Y))))) = inverse(multiply(inverse(Z),Z)),
inference('PARAMODULATE',[status(thm)],[240,2566,theory(equality)]) ).
cnf(2598,plain,
multiply(inverse(inverse(multiply(inverse(X),X))),inverse(inverse(inverse(multiply(inverse(Y),Y))))) = multiply(inverse(Z),Z),
inference('PARAMODULATE',[status(thm)],[355,2566,theory(equality)]) ).
cnf(2611,plain,
inverse(inverse(X)) = inverse(inverse(multiply(inverse(multiply(multiply(inverse(Y),Y),inverse(multiply(inverse(Z),Z)))),X))),
inference('PARAMODULATE',[status(thm)],[2270,2566,theory(equality)]) ).
cnf(2614,plain,
inverse(inverse(inverse(multiply(inverse(X),X)))) = inverse(inverse(multiply(inverse(Y),Y))),
inference('REWRITE',[status(thm)],[433,2611,theory(equality)]) ).
cnf(2615,plain,
multiply(inverse(inverse(inverse(multiply(inverse(X),X)))),inverse(multiply(inverse(Y),Y))) = multiply(inverse(Z),Z),
inference('REWRITE',[status(thm)],[460,2611,theory(equality)]) ).
cnf(2620,plain,
inverse(inverse(inverse(inverse(inverse(multiply(inverse(X),X)))))) = inverse(inverse(inverse(inverse(multiply(inverse(Y),Y))))),
inference('REWRITE',[status(thm)],[2505,2611,theory(equality)]) ).
cnf(2710,plain,
inverse(multiply(X,inverse(multiply(inverse(multiply(multiply(inverse(Y),Y),inverse(multiply(inverse(Z),Z)))),U)))) = inverse(multiply(X,inverse(U))),
inference('PARAMODULATE',[status(thm)],[1894,2566,theory(equality)]) ).
cnf(2714,plain,
inverse(inverse(multiply(inverse(X),X))) = inverse(multiply(multiply(inverse(Y),Y),inverse(inverse(multiply(inverse(Z),Z))))),
inference('REWRITE',[status(thm)],[470,2710,theory(equality)]) ).
cnf(2718,plain,
multiply(inverse(multiply(inverse(inverse(X)),multiply(inverse(Y),Y))),multiply(inverse(Z),Z)) = multiply(inverse(multiply(U,multiply(inverse(Y),Y))),multiply(U,inverse(X))),
inference('PARAMODULATE',[status(thm)],[224,2566,theory(equality)]) ).
cnf(2730,plain,
inverse(inverse(inverse(multiply(inverse(X),X)))) = multiply(inverse(Y),Y),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2566,325,theory(equality)]),2611,theory(equality)]) ).
cnf(2739,plain,
multiply(inverse(multiply(inverse(multiply(inverse(X),X)),inverse(Y))),multiply(inverse(Z),Z)) = multiply(inverse(multiply(U,inverse(Y))),multiply(U,multiply(inverse(X),X))),
inference('PARAMODULATE',[status(thm)],[224,2566,theory(equality)]) ).
cnf(2818,plain,
inverse(multiply(inverse(X),X)) = inverse(inverse(multiply(inverse(Y),Y))),
inference('PARAMODULATE',[status(thm)],[2614,2566,theory(equality)]) ).
cnf(2959,plain,
multiply(multiply(inverse(multiply(X,inverse(multiply(Y,inverse(inverse(multiply(inverse(Z),Z))))))),multiply(X,inverse(inverse(multiply(inverse(U),U))))),inverse(multiply(inverse(V),V))) = Y,
inference('PARAMODULATE',[status(thm)],[218,2614,theory(equality)]) ).
cnf(2960,plain,
inverse(inverse(X)) = multiply(inverse(multiply(Y,inverse(multiply(inverse(inverse(multiply(X,Z))),inverse(Z))))),multiply(Y,inverse(inverse(multiply(inverse(inverse(multiply(inverse(Z),Z))),inverse(multiply(inverse(Z),Z))))))),
inference('REWRITE',[status(thm)],[1944,2959,theory(equality)]) ).
cnf(3006,plain,
inverse(multiply(inverse(X),X)) = multiply(inverse(Y),Y),
inference('PARAMODULATE',[status(thm)],[2566,2818,theory(equality)]) ).
cnf(3009,plain,
multiply(X,inverse(multiply(inverse(Y),Y))) = multiply(X,inverse(inverse(multiply(inverse(Z),Z)))),
inference('PARAMODULATE',[status(thm)],[970,2818,theory(equality)]) ).
cnf(3011,plain,
inverse(inverse(X)) = inverse(inverse(multiply(inverse(inverse(multiply(inverse(Y),Y))),X))),
inference('PARAMODULATE',[status(thm)],[2270,2818,theory(equality)]) ).
cnf(3014,plain,
inverse(inverse(X)) = multiply(inverse(multiply(Y,inverse(multiply(inverse(inverse(multiply(X,Z))),inverse(Z))))),multiply(Y,inverse(inverse(inverse(multiply(inverse(Z),Z)))))),
inference('REWRITE',[status(thm)],[2960,3011,theory(equality)]) ).
cnf(3032,plain,
multiply(multiply(inverse(X),X),inverse(inverse(multiply(inverse(Y),Y)))) = inverse(multiply(inverse(Z),Z)),
inference('PARAMODULATE',[status(thm)],[240,2818,theory(equality)]) ).
cnf(3104,plain,
multiply(multiply(inverse(multiply(inverse(X),X)),multiply(inverse(inverse(multiply(Y,Z))),inverse(Z))),inverse(inverse(multiply(inverse(U),U)))) = Y,
inference('PARAMODULATE',[status(thm)],[295,2818,theory(equality)]) ).
cnf(3253,plain,
multiply(multiply(inverse(X),X),multiply(inverse(Y),Y)) = multiply(inverse(Z),Z),
inference('PARAMODULATE',[status(thm)],[253,3006,theory(equality)]) ).
cnf(3259,plain,
multiply(X,inverse(multiply(inverse(Y),Y))) = multiply(X,multiply(inverse(Z),Z)),
inference('PARAMODULATE',[status(thm)],[970,3006,theory(equality)]) ).
cnf(3260,plain,
multiply(multiply(inverse(X),X),multiply(inverse(Y),Y)) = inverse(multiply(inverse(Z),Z)),
inference('PARAMODULATE',[status(thm)],[240,3006,theory(equality)]) ).
cnf(3265,plain,
inverse(inverse(multiply(inverse(X),X))) = inverse(multiply(multiply(inverse(Y),Y),multiply(inverse(Z),Z))),
inference('PARAMODULATE',[status(thm)],[325,3006,theory(equality)]) ).
cnf(3268,plain,
multiply(inverse(inverse(X)),inverse(multiply(multiply(inverse(Y),Y),X))) = multiply(inverse(Z),Z),
inference('PARAMODULATE',[status(thm)],[2295,3006,theory(equality)]) ).
cnf(3321,plain,
( multiply(inverse(multiply(inverse(X),X)),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference('PARAMODULATE',[status(thm)],[217,3006,theory(equality)]) ).
cnf(3423,plain,
inverse(inverse(inverse(multiply(inverse(X),X)))) = multiply(multiply(inverse(Y),Y),multiply(inverse(Z),Z)),
inference('PARAMODULATE',[status(thm)],[2730,3006,theory(equality)]) ).
cnf(3606,plain,
inverse(multiply(inverse(X),X)) = multiply(inverse(multiply(inverse(Y),Y)),inverse(inverse(multiply(inverse(Z),Z)))),
inference('PARAMODULATE',[status(thm)],[3006,2567,theory(equality)]) ).
cnf(3661,plain,
multiply(inverse(multiply(inverse(multiply(inverse(X),X)),inverse(Y))),multiply(inverse(Z),Z)) = multiply(inverse(multiply(U,inverse(Y))),multiply(U,inverse(inverse(multiply(inverse(V),V))))),
inference('PARAMODULATE',[status(thm)],[224,2567,theory(equality)]) ).
cnf(4208,plain,
multiply(inverse(multiply(inverse(X),X)),multiply(inverse(inverse(Y)),inverse(Z))) = multiply(inverse(multiply(inverse(inverse(Z)),inverse(Y))),multiply(multiply(inverse(U),U),multiply(inverse(V),V))),
inference('PARAMODULATE',[status(thm)],[223,3253,theory(equality)]) ).
cnf(4307,plain,
multiply(X,multiply(inverse(Y),Y)) = multiply(X,multiply(inverse(Z),Z)),
inference('PARAMODULATE',[status(thm)],[3259,3259,theory(equality)]) ).
cnf(4735,plain,
multiply(inverse(multiply(X,inverse(multiply(multiply(Y,inverse(multiply(inverse(Z),Z))),inverse(multiply(inverse(U),U)))))),multiply(X,inverse(inverse(inverse(inverse(multiply(inverse(V),V))))))) = Y,
inference('PARAMODULATE',[status(thm)],[225,2570,theory(equality)]) ).
cnf(5329,plain,
multiply(inverse(multiply(inverse(X),X)),multiply(inverse(inverse(multiply(inverse(Y),Y))),inverse(Z))) = multiply(inverse(multiply(inverse(U),U)),multiply(inverse(inverse(inverse(multiply(inverse(V),V)))),inverse(Z))),
inference('PARAMODULATE',[status(thm)],[223,2615,theory(equality)]) ).
cnf(6872,plain,
multiply(inverse(inverse(multiply(inverse(X),X))),multiply(multiply(inverse(Y),Y),inverse(Z))) = multiply(inverse(multiply(U,inverse(inverse(multiply(inverse(V),V))))),multiply(U,inverse(Z))),
inference('PARAMODULATE',[status(thm)],[108,2714,theory(equality)]) ).
cnf(7177,plain,
multiply(X,inverse(inverse(multiply(inverse(Y),Y)))) = multiply(X,inverse(inverse(multiply(inverse(Z),Z)))),
inference('PARAMODULATE',[status(thm)],[3009,3009,theory(equality)]) ).
cnf(8627,plain,
inverse(multiply(X,multiply(inverse(Y),Y))) = inverse(multiply(X,multiply(inverse(Z),Z))),
inference('PARAMODULATE',[status(thm)],[2576,2576,theory(equality)]) ).
cnf(8737,plain,
multiply(inverse(multiply(inverse(inverse(X)),multiply(inverse(Y),Y))),multiply(inverse(Z),Z)) = multiply(inverse(multiply(U,inverse(inverse(multiply(inverse(V),V))))),multiply(U,inverse(X))),
inference('PARAMODULATE',[status(thm)],[224,2576,theory(equality)]) ).
cnf(9092,plain,
inverse(multiply(inverse(multiply(X,inverse(Y))),multiply(X,inverse(Z)))) = inverse(multiply(inverse(multiply(inverse(inverse(Z)),inverse(Y))),multiply(inverse(U),U))),
inference('PARAMODULATE',[status(thm)],[8627,224,theory(equality)]) ).
cnf(9145,plain,
inverse(multiply(inverse(multiply(inverse(X),X)),multiply(inverse(inverse(Y)),inverse(Z)))) = inverse(multiply(inverse(multiply(inverse(inverse(Z)),inverse(Y))),multiply(inverse(U),U))),
inference('PARAMODULATE',[status(thm)],[8627,223,theory(equality)]) ).
cnf(9281,plain,
multiply(inverse(multiply(X,inverse(multiply(multiply(Y,inverse(multiply(inverse(multiply(Z,multiply(inverse(U),U))),multiply(Z,multiply(inverse(V),V))))),W)))),multiply(X,inverse(W))) = Y,
inference('PARAMODULATE',[status(thm)],[225,8627,theory(equality)]) ).
cnf(9308,plain,
multiply(X,inverse(multiply(inverse(multiply(Y,multiply(inverse(Z),Z))),multiply(Y,multiply(inverse(U),U))))) = multiply(X,inverse(inverse(inverse(multiply(inverse(V),V))))),
inference('PARAMODULATE',[status(thm)],[2578,8627,theory(equality)]) ).
cnf(10664,plain,
inverse(inverse(X)) = multiply(inverse(multiply(Y,inverse(multiply(inverse(inverse(multiply(X,Z))),inverse(Z))))),multiply(Y,inverse(inverse(inverse(multiply(inverse(U),U)))))),
inference('PARAMODULATE',[status(thm)],[3014,215,theory(equality)]) ).
cnf(10755,plain,
multiply(inverse(multiply(multiply(inverse(X),X),inverse(Y))),inverse(multiply(inverse(Z),Z))) = multiply(inverse(multiply(U,inverse(Y))),multiply(U,inverse(inverse(multiply(inverse(V),V))))),
inference('PARAMODULATE',[status(thm)],[108,3032,theory(equality)]) ).
cnf(11587,plain,
multiply(X,multiply(inverse(Y),Y)) = multiply(X,multiply(inverse(inverse(multiply(inverse(Z),Z))),multiply(multiply(inverse(U),U),multiply(inverse(V),V)))),
inference('PARAMODULATE',[status(thm)],[4307,3265,theory(equality)]) ).
cnf(15769,plain,
multiply(inverse(multiply(inverse(inverse(X)),inverse(inverse(inverse(multiply(inverse(Y),Y)))))),multiply(inverse(Z),Z)) = multiply(inverse(inverse(multiply(inverse(U),U))),multiply(multiply(inverse(V),V),inverse(X))),
inference('PARAMODULATE',[status(thm)],[224,2593,theory(equality)]) ).
cnf(19789,plain,
multiply(inverse(multiply(X,inverse(Y))),multiply(X,inverse(inverse(multiply(inverse(Z),Z))))) = multiply(inverse(multiply(U,inverse(Y))),multiply(U,inverse(inverse(multiply(inverse(V),V))))),
inference('PARAMODULATE',[status(thm)],[108,7177,theory(equality)]) ).
cnf(21553,plain,
inverse(X) = inverse(multiply(inverse(multiply(inverse(Y),Y)),X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[297,2295,theory(equality)]),1494,theory(equality)]) ).
cnf(21571,plain,
inverse(multiply(inverse(inverse(X)),inverse(Y))) = inverse(multiply(inverse(multiply(inverse(inverse(Y)),inverse(X))),multiply(inverse(Z),Z))),
inference('REWRITE',[status(thm)],[9145,21553,theory(equality)]) ).
cnf(21574,plain,
inverse(multiply(inverse(multiply(X,inverse(Y))),multiply(X,inverse(Z)))) = inverse(multiply(inverse(inverse(Y)),inverse(Z))),
inference('REWRITE',[status(thm)],[9092,21571,theory(equality)]) ).
cnf(21630,plain,
multiply(inverse(inverse(X)),multiply(inverse(Y),Y)) = multiply(inverse(multiply(Z,inverse(X))),multiply(Z,multiply(inverse(U),U))),
inference('REWRITE',[status(thm)],[2739,21553,theory(equality)]) ).
cnf(21632,plain,
multiply(inverse(inverse(X)),multiply(inverse(Y),Y)) = multiply(inverse(multiply(Z,inverse(X))),multiply(Z,inverse(inverse(multiply(inverse(U),U))))),
inference('REWRITE',[status(thm)],[3661,21553,theory(equality)]) ).
cnf(21700,plain,
inverse(X) = inverse(multiply(multiply(inverse(Y),Y),X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[297,3268,theory(equality)]),1494,theory(equality)]) ).
cnf(21701,plain,
multiply(inverse(multiply(X,inverse(Y))),multiply(X,inverse(inverse(multiply(inverse(Z),Z))))) = inverse(inverse(multiply(Y,multiply(inverse(Z),Z)))),
inference('REWRITE',[status(thm)],[2279,21700,theory(equality)]) ).
cnf(21711,plain,
multiply(inverse(inverse(X)),multiply(inverse(Y),Y)) = inverse(inverse(multiply(X,multiply(inverse(Z),Z)))),
inference('REWRITE',[status(thm)],[21632,21701,theory(equality)]) ).
cnf(21823,plain,
inverse(inverse(multiply(X,multiply(inverse(Y),Y)))) = inverse(inverse(multiply(X,multiply(inverse(Z),Z)))),
inference('REWRITE',[status(thm)],[19789,21701,theory(equality)]) ).
cnf(21889,plain,
multiply(inverse(inverse(X)),inverse(multiply(inverse(Y),Y))) = inverse(inverse(multiply(X,multiply(inverse(Z),Z)))),
inference('REWRITE',[status(thm)],[10755,21701,21700,theory(equality)]) ).
cnf(21982,plain,
inverse(X) = inverse(multiply(inverse(inverse(multiply(inverse(Y),Y))),X)),
inference('PARAMODULATE',[status(thm)],[21553,2581,theory(equality)]) ).
cnf(22039,plain,
inverse(X) = inverse(multiply(inverse(inverse(inverse(multiply(inverse(Y),Y)))),X)),
inference('PARAMODULATE',[status(thm)],[21553,2566,theory(equality)]) ).
cnf(22048,plain,
inverse(multiply(inverse(X),X)) = multiply(inverse(Y),multiply(inverse(multiply(inverse(Z),Z)),Y)),
inference('PARAMODULATE',[status(thm)],[3006,21553,theory(equality)]) ).
cnf(22052,plain,
inverse(X) = inverse(multiply(multiply(multiply(inverse(Y),Y),multiply(inverse(Z),Z)),X)),
inference('PARAMODULATE',[status(thm)],[21553,3260,theory(equality)]) ).
cnf(22055,plain,
inverse(multiply(inverse(X),multiply(inverse(multiply(inverse(Y),Y)),X))) = inverse(multiply(inverse(Z),Z)),
inference('PARAMODULATE',[status(thm)],[241,21553,theory(equality)]) ).
cnf(22273,plain,
inverse(multiply(inverse(X),X)) = multiply(inverse(Y),multiply(multiply(inverse(Z),Z),Y)),
inference('PARAMODULATE',[status(thm)],[3006,21700,theory(equality)]) ).
cnf(22274,plain,
inverse(multiply(inverse(X),multiply(multiply(inverse(Y),Y),X))) = multiply(inverse(Z),Z),
inference('PARAMODULATE',[status(thm)],[3006,21700,theory(equality)]) ).
cnf(22283,plain,
inverse(X) = inverse(multiply(inverse(multiply(inverse(Y),multiply(multiply(inverse(Z),Z),Y))),X)),
inference('PARAMODULATE',[status(thm)],[21553,21700,theory(equality)]) ).
cnf(22539,plain,
multiply(inverse(multiply(X,inverse(Y))),multiply(X,inverse(inverse(inverse(multiply(inverse(Z),Z)))))) = inverse(inverse(multiply(Y,multiply(inverse(U),U)))),
inference('PARAMODULATE',[status(thm)],[21701,2614,theory(equality)]) ).
cnf(22545,plain,
multiply(inverse(multiply(X,inverse(Y))),multiply(X,inverse(inverse(inverse(multiply(inverse(Z),Z)))))) = inverse(inverse(multiply(Y,inverse(multiply(inverse(Z),Z))))),
inference('PARAMODULATE',[status(thm)],[21701,2581,theory(equality)]) ).
cnf(22552,plain,
inverse(inverse(X)) = inverse(inverse(multiply(multiply(inverse(inverse(multiply(X,Y))),inverse(Y)),inverse(multiply(inverse(Z),Z))))),
inference('REWRITE',[status(thm)],[10664,22545,theory(equality)]) ).
cnf(22565,plain,
inverse(inverse(multiply(X,inverse(multiply(inverse(Y),Y))))) = inverse(inverse(multiply(X,multiply(inverse(Z),Z)))),
inference('REWRITE',[status(thm)],[22539,22545,theory(equality)]) ).
cnf(22579,plain,
multiply(inverse(multiply(X,inverse(Y))),multiply(X,inverse(inverse(inverse(inverse(multiply(inverse(Z),Z))))))) = inverse(inverse(multiply(Y,inverse(inverse(multiply(inverse(Z),Z)))))),
inference('PARAMODULATE',[status(thm)],[21701,2566,theory(equality)]) ).
cnf(22588,plain,
inverse(inverse(multiply(multiply(multiply(X,inverse(multiply(inverse(Y),Y))),inverse(multiply(inverse(Z),Z))),inverse(inverse(multiply(inverse(U),U)))))) = X,
inference('REWRITE',[status(thm)],[4735,22579,theory(equality)]) ).
cnf(22613,plain,
multiply(inverse(multiply(X,inverse(Y))),multiply(X,inverse(inverse(inverse(inverse(inverse(multiply(inverse(Z),Z)))))))) = inverse(inverse(multiply(Y,inverse(inverse(inverse(multiply(inverse(Z),Z))))))),
inference('PARAMODULATE',[status(thm)],[21701,2730,theory(equality)]) ).
cnf(22686,plain,
inverse(inverse(multiply(X,inverse(inverse(multiply(inverse(Y),Y)))))) = inverse(inverse(multiply(X,multiply(inverse(inverse(inverse(multiply(inverse(Z),Z)))),inverse(inverse(multiply(inverse(Y),Y))))))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[21701,2312,theory(equality)]),22579,22039,theory(equality)]) ).
cnf(22692,plain,
multiply(inverse(multiply(X,inverse(Y))),multiply(X,inverse(inverse(multiply(inverse(multiply(Z,multiply(inverse(U),U))),multiply(Z,multiply(inverse(V),V))))))) = inverse(inverse(multiply(Y,multiply(inverse(multiply(Z,multiply(inverse(U),U))),multiply(Z,multiply(inverse(V),V)))))),
inference('PARAMODULATE',[status(thm)],[21701,8627,theory(equality)]) ).
cnf(22708,plain,
multiply(inverse(multiply(X,inverse(Y))),multiply(X,inverse(inverse(multiply(inverse(multiply(Z,multiply(inverse(U),U))),multiply(Z,inverse(inverse(multiply(inverse(V),V))))))))) = inverse(inverse(multiply(Y,multiply(inverse(multiply(Z,multiply(inverse(U),U))),multiply(Z,inverse(inverse(multiply(inverse(V),V)))))))),
inference('PARAMODULATE',[status(thm)],[21701,2576,theory(equality)]) ).
cnf(23411,plain,
inverse(inverse(multiply(inverse(inverse(multiply(X,Y))),inverse(Y)))) = inverse(inverse(multiply(multiply(inverse(inverse(X)),inverse(inverse(multiply(inverse(Z),Z)))),inverse(multiply(inverse(U),U))))),
inference('PARAMODULATE',[status(thm)],[22552,22552,theory(equality)]) ).
cnf(23497,plain,
inverse(inverse(inverse(X))) = inverse(inverse(multiply(multiply(inverse(inverse(inverse(X))),inverse(inverse(multiply(inverse(Y),Y)))),inverse(multiply(inverse(Z),Z))))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[22552,297,theory(equality)]),21982,21574,theory(equality)]) ).
cnf(23613,plain,
inverse(inverse(X)) = inverse(inverse(multiply(multiply(inverse(inverse(multiply(X,inverse(inverse(inverse(multiply(inverse(Y),Y))))))),inverse(inverse(multiply(inverse(Z),Z)))),inverse(multiply(inverse(U),U))))),
inference('PARAMODULATE',[status(thm)],[22552,2578,theory(equality)]) ).
cnf(24212,plain,
multiply(inverse(multiply(inverse(inverse(X)),multiply(inverse(inverse(Y)),multiply(inverse(Z),Z)))),multiply(inverse(U),U)) = multiply(inverse(multiply(V,multiply(inverse(inverse(Y)),multiply(inverse(Z),Z)))),multiply(V,inverse(X))),
inference('PARAMODULATE',[status(thm)],[224,21711,theory(equality)]) ).
cnf(24213,plain,
multiply(inverse(multiply(inverse(X),X)),multiply(inverse(multiply(inverse(inverse(Y)),multiply(inverse(Z),Z))),inverse(U))) = multiply(inverse(multiply(V,multiply(inverse(inverse(Y)),multiply(inverse(Z),Z)))),multiply(V,inverse(U))),
inference('PARAMODULATE',[status(thm)],[223,21711,theory(equality)]) ).
cnf(24299,plain,
inverse(inverse(X)) = inverse(inverse(multiply(multiply(inverse(inverse(multiply(X,Y))),inverse(Y)),multiply(inverse(Z),multiply(inverse(multiply(inverse(U),U)),Z))))),
inference('PARAMODULATE',[status(thm)],[22552,22048,theory(equality)]) ).
cnf(25207,plain,
multiply(inverse(multiply(X,inverse(Y))),multiply(X,inverse(inverse(multiply(inverse(Z),multiply(multiply(multiply(inverse(U),U),multiply(inverse(V),V)),Z)))))) = inverse(inverse(multiply(Y,multiply(inverse(Z),multiply(multiply(multiply(inverse(U),U),multiply(inverse(V),V)),Z))))),
inference('PARAMODULATE',[status(thm)],[21701,22052,theory(equality)]) ).
cnf(25747,plain,
multiply(inverse(multiply(inverse(X),X)),multiply(inverse(inverse(Y)),multiply(inverse(Z),multiply(multiply(inverse(U),U),Z)))) = multiply(inverse(multiply(V,inverse(Y))),multiply(V,multiply(inverse(Z),multiply(multiply(inverse(U),U),Z)))),
inference('PARAMODULATE',[status(thm)],[223,22273,theory(equality)]) ).
cnf(25777,plain,
inverse(inverse(multiply(X,multiply(inverse(Y),multiply(multiply(inverse(Z),Z),Y))))) = inverse(inverse(multiply(X,multiply(inverse(U),U)))),
inference('PARAMODULATE',[status(thm)],[22565,22273,theory(equality)]) ).
cnf(26789,plain,
inverse(inverse(X)) = inverse(inverse(multiply(multiply(inverse(inverse(multiply(X,multiply(inverse(Y),multiply(inverse(multiply(inverse(Z),Z)),Y))))),inverse(multiply(inverse(U),U))),inverse(multiply(inverse(V),V))))),
inference('PARAMODULATE',[status(thm)],[22552,22055,theory(equality)]) ).
cnf(27346,plain,
multiply(multiply(inverse(inverse(multiply(X,multiply(inverse(Y),multiply(multiply(inverse(Z),Z),Y))))),multiply(inverse(U),U)),inverse(multiply(inverse(V),V))) = X,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[296,22274,theory(equality)]),21553,theory(equality)]) ).
cnf(28987,plain,
multiply(inverse(multiply(inverse(inverse(X)),inverse(inverse(inverse(multiply(inverse(Y),Y)))))),multiply(inverse(Z),Z)) = multiply(inverse(multiply(inverse(U),U)),multiply(inverse(inverse(multiply(inverse(V),V))),inverse(X))),
inference('PARAMODULATE',[status(thm)],[224,2598,theory(equality)]) ).
cnf(29331,plain,
inverse(inverse(multiply(multiply(multiply(X,inverse(multiply(inverse(Y),Y))),inverse(inverse(inverse(multiply(inverse(Z),Z))))),inverse(inverse(inverse(multiply(inverse(U),U))))))) = X,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[225,2620,theory(equality)]),22613,theory(equality)]) ).
cnf(30808,plain,
multiply(multiply(inverse(multiply(inverse(X),X)),multiply(inverse(inverse(multiply(Y,Z))),inverse(Z))),multiply(inverse(multiply(inverse(U),U)),inverse(inverse(multiply(inverse(V),V))))) = Y,
inference('PARAMODULATE',[status(thm)],[295,3606,theory(equality)]) ).
cnf(30883,plain,
multiply(inverse(multiply(X,inverse(multiply(multiply(Y,multiply(inverse(multiply(inverse(Z),Z)),inverse(inverse(multiply(inverse(U),U))))),V)))),multiply(X,inverse(V))) = Y,
inference('PARAMODULATE',[status(thm)],[225,3606,theory(equality)]) ).
cnf(30885,plain,
multiply(multiply(inverse(multiply(X,multiply(inverse(multiply(inverse(Y),Y)),inverse(inverse(multiply(inverse(Z),Z)))))),multiply(X,inverse(U))),inverse(multiply(inverse(V),V))) = inverse(U),
inference('PARAMODULATE',[status(thm)],[297,3606,theory(equality)]) ).
cnf(30978,plain,
multiply(inverse(multiply(inverse(X),X)),multiply(inverse(inverse(inverse(multiply(inverse(Y),Y)))),inverse(Z))) = multiply(inverse(multiply(U,multiply(inverse(multiply(inverse(V),V)),inverse(inverse(multiply(inverse(Y),Y)))))),multiply(U,inverse(Z))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[223,3606,theory(equality)]),21553,theory(equality)]) ).
cnf(31675,plain,
multiply(inverse(inverse(X)),multiply(inverse(inverse(multiply(inverse(Y),Y))),multiply(inverse(Z),Z))) = multiply(inverse(multiply(U,inverse(X))),multiply(U,multiply(inverse(V),V))),
inference('PARAMODULATE',[status(thm)],[21630,2818,theory(equality)]) ).
cnf(31813,plain,
multiply(inverse(inverse(X)),multiply(multiply(multiply(inverse(Y),Y),multiply(inverse(Z),Z)),inverse(inverse(multiply(inverse(U),U))))) = multiply(inverse(multiply(V,inverse(X))),multiply(V,multiply(inverse(W),W))),
inference('PARAMODULATE',[status(thm)],[21630,3423,theory(equality)]) ).
cnf(31822,plain,
multiply(inverse(inverse(X)),multiply(multiply(inverse(Y),multiply(multiply(inverse(Z),Z),Y)),multiply(inverse(U),U))) = multiply(inverse(multiply(V,inverse(X))),multiply(V,multiply(inverse(W),W))),
inference('PARAMODULATE',[status(thm)],[21630,22273,theory(equality)]) ).
cnf(31826,plain,
multiply(inverse(inverse(X)),multiply(inverse(multiply(Y,inverse(inverse(multiply(inverse(Z),Z))))),multiply(Y,multiply(inverse(U),U)))) = multiply(inverse(multiply(V,inverse(X))),multiply(V,multiply(inverse(W),W))),
inference('PARAMODULATE',[status(thm)],[21630,2576,theory(equality)]) ).
cnf(31840,plain,
multiply(inverse(inverse(X)),multiply(inverse(Y),Y)) = multiply(inverse(multiply(Z,inverse(X))),multiply(Z,multiply(inverse(multiply(U,multiply(inverse(V),V))),multiply(U,inverse(inverse(multiply(inverse(W),W))))))),
inference('PARAMODULATE',[status(thm)],[21630,2576,theory(equality)]) ).
cnf(31920,plain,
multiply(multiply(inverse(inverse(multiply(inverse(multiply(X,inverse(Y))),multiply(X,multiply(inverse(Z),Z))))),multiply(inverse(U),U)),inverse(multiply(inverse(V),V))) = inverse(inverse(Y)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[296,21630,theory(equality)]),21982,theory(equality)]) ).
cnf(31941,plain,
inverse(inverse(inverse(inverse(multiply(X,multiply(inverse(Y),Y)))))) = inverse(inverse(multiply(inverse(inverse(X)),multiply(inverse(Z),Z)))),
inference('PARAMODULATE',[status(thm)],[21823,21711,theory(equality)]) ).
cnf(32299,plain,
multiply(inverse(inverse(inverse(inverse(X)))),inverse(multiply(inverse(Y),Y))) = inverse(inverse(multiply(inverse(multiply(Z,inverse(X))),multiply(Z,multiply(inverse(U),U))))),
inference('PARAMODULATE',[status(thm)],[21889,21630,theory(equality)]) ).
cnf(32618,plain,
multiply(inverse(inverse(multiply(inverse(inverse(multiply(X,multiply(inverse(Y),Y)))),multiply(inverse(Z),Z)))),inverse(multiply(inverse(U),U))) = inverse(inverse(X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[218,21889,theory(equality)]),21701,theory(equality)]) ).
cnf(32645,plain,
inverse(inverse(inverse(inverse(X)))) = inverse(inverse(inverse(inverse(multiply(X,multiply(inverse(Y),Y)))))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[22552,21889,theory(equality)]),23497,theory(equality)]) ).
cnf(32648,plain,
inverse(inverse(inverse(inverse(X)))) = inverse(inverse(multiply(inverse(inverse(X)),multiply(inverse(Y),Y)))),
inference('REWRITE',[status(thm)],[31941,32645,theory(equality)]) ).
cnf(32649,plain,
multiply(inverse(inverse(inverse(inverse(X)))),inverse(multiply(inverse(Y),Y))) = inverse(inverse(X)),
inference('REWRITE',[status(thm)],[32618,32645,32648,theory(equality)]) ).
cnf(32650,plain,
inverse(inverse(X)) = inverse(inverse(multiply(inverse(multiply(Y,inverse(X))),multiply(Y,multiply(inverse(Z),Z))))),
inference('REWRITE',[status(thm)],[32299,32649,theory(equality)]) ).
cnf(32651,plain,
multiply(multiply(inverse(inverse(X)),multiply(inverse(Y),Y)),inverse(multiply(inverse(Z),Z))) = inverse(inverse(X)),
inference('REWRITE',[status(thm)],[31920,32650,theory(equality)]) ).
cnf(32652,plain,
inverse(inverse(multiply(X,multiply(inverse(Y),multiply(multiply(inverse(Z),Z),Y))))) = X,
inference('REWRITE',[status(thm)],[27346,32651,theory(equality)]) ).
cnf(32653,plain,
X = inverse(inverse(multiply(X,multiply(inverse(Y),Y)))),
inference('REWRITE',[status(thm)],[25777,32652,theory(equality)]) ).
cnf(32664,plain,
inverse(inverse(inverse(inverse(X)))) = inverse(inverse(X)),
inference('REWRITE',[status(thm)],[32648,32653,theory(equality)]) ).
cnf(32722,plain,
multiply(inverse(inverse(X)),inverse(multiply(inverse(Y),Y))) = inverse(inverse(X)),
inference('REWRITE',[status(thm)],[32649,32664,theory(equality)]) ).
cnf(32724,plain,
inverse(inverse(X)) = inverse(inverse(multiply(X,multiply(inverse(Y),multiply(inverse(multiply(inverse(Z),Z)),Y))))),
inference('REWRITE',[status(thm)],[26789,32664,32722,theory(equality)]) ).
cnf(33021,plain,
inverse(inverse(X)) = inverse(inverse(multiply(inverse(inverse(multiply(X,Y))),inverse(Y)))),
inference('REWRITE',[status(thm)],[24299,32724,theory(equality)]) ).
cnf(33022,plain,
inverse(inverse(X)) = inverse(inverse(multiply(multiply(inverse(inverse(X)),inverse(inverse(multiply(inverse(Y),Y)))),inverse(multiply(inverse(Z),Z))))),
inference('REWRITE',[status(thm)],[23411,33021,theory(equality)]) ).
cnf(33023,plain,
inverse(inverse(X)) = inverse(inverse(multiply(X,inverse(inverse(inverse(multiply(inverse(Y),Y))))))),
inference('REWRITE',[status(thm)],[23613,33022,theory(equality)]) ).
cnf(33024,plain,
inverse(inverse(multiply(X,inverse(multiply(inverse(Y),Y))))) = X,
inference('REWRITE',[status(thm)],[29331,33023,theory(equality)]) ).
cnf(33025,plain,
inverse(inverse(X)) = multiply(inverse(inverse(X)),inverse(inverse(multiply(inverse(Y),Y)))),
inference('REWRITE',[status(thm)],[33022,33024,theory(equality)]) ).
cnf(33026,plain,
inverse(inverse(multiply(X,inverse(inverse(multiply(inverse(Y),Y)))))) = inverse(inverse(X)),
inference('REWRITE',[status(thm)],[22686,33023,33025,theory(equality)]) ).
cnf(33027,plain,
multiply(X,inverse(multiply(inverse(Y),Y))) = X,
inference('REWRITE',[status(thm)],[22588,33024,33026,theory(equality)]) ).
cnf(33050,plain,
multiply(inverse(multiply(X,multiply(inverse(multiply(inverse(Y),Y)),inverse(inverse(multiply(inverse(Z),Z)))))),multiply(X,inverse(U))) = inverse(U),
inference('REWRITE',[status(thm)],[30885,33027,theory(equality)]) ).
cnf(33051,plain,
multiply(inverse(multiply(inverse(X),X)),multiply(inverse(inverse(inverse(multiply(inverse(Y),Y)))),inverse(Z))) = inverse(Z),
inference('REWRITE',[status(thm)],[30978,33050,theory(equality)]) ).
cnf(33052,plain,
multiply(inverse(multiply(inverse(X),X)),multiply(inverse(inverse(multiply(inverse(Y),Y))),inverse(Z))) = inverse(Z),
inference('REWRITE',[status(thm)],[5329,33051,theory(equality)]) ).
cnf(33053,plain,
multiply(inverse(multiply(inverse(inverse(X)),inverse(inverse(inverse(multiply(inverse(Y),Y)))))),multiply(inverse(Z),Z)) = inverse(X),
inference('REWRITE',[status(thm)],[28987,33052,theory(equality)]) ).
cnf(33054,plain,
inverse(X) = multiply(inverse(inverse(multiply(inverse(Y),Y))),multiply(multiply(inverse(Z),Z),inverse(X))),
inference('REWRITE',[status(thm)],[15769,33053,theory(equality)]) ).
cnf(33057,plain,
inverse(X) = multiply(inverse(multiply(Y,inverse(inverse(multiply(inverse(Z),Z))))),multiply(Y,inverse(X))),
inference('REWRITE',[status(thm)],[6872,33054,theory(equality)]) ).
cnf(33063,plain,
multiply(inverse(multiply(inverse(inverse(X)),multiply(inverse(Y),Y))),multiply(inverse(Z),Z)) = inverse(X),
inference('REWRITE',[status(thm)],[8737,33057,theory(equality)]) ).
cnf(33064,plain,
inverse(X) = multiply(inverse(multiply(Y,multiply(inverse(Z),Z))),multiply(Y,inverse(X))),
inference('REWRITE',[status(thm)],[2718,33063,theory(equality)]) ).
cnf(33065,plain,
multiply(inverse(inverse(X)),multiply(inverse(Y),Y)) = multiply(inverse(multiply(Z,inverse(X))),multiply(Z,inverse(inverse(multiply(inverse(U),U))))),
inference('REWRITE',[status(thm)],[31840,33064,theory(equality)]) ).
cnf(33066,plain,
multiply(inverse(multiply(X,inverse(Y))),multiply(X,inverse(inverse(multiply(inverse(Z),Z))))) = inverse(inverse(Y)),
inference('REWRITE',[status(thm)],[22708,33026,32664,33064,theory(equality)]) ).
cnf(33067,plain,
multiply(inverse(inverse(X)),multiply(inverse(Y),Y)) = inverse(inverse(X)),
inference('REWRITE',[status(thm)],[33065,33066,theory(equality)]) ).
cnf(33075,plain,
inverse(inverse(X)) = multiply(inverse(multiply(Y,inverse(X))),multiply(Y,multiply(inverse(Z),Z))),
inference('REWRITE',[status(thm)],[31675,33025,33067,theory(equality)]) ).
cnf(33081,plain,
multiply(inverse(inverse(X)),multiply(multiply(multiply(inverse(Y),Y),multiply(inverse(Z),Z)),inverse(inverse(multiply(inverse(U),U))))) = inverse(inverse(X)),
inference('REWRITE',[status(thm)],[31813,33075,theory(equality)]) ).
cnf(33084,plain,
multiply(inverse(inverse(X)),multiply(multiply(inverse(Y),multiply(multiply(inverse(Z),Z),Y)),multiply(inverse(U),U))) = inverse(inverse(X)),
inference('REWRITE',[status(thm)],[31822,33075,theory(equality)]) ).
cnf(33086,plain,
multiply(inverse(inverse(X)),inverse(inverse(inverse(multiply(inverse(Y),Y))))) = inverse(inverse(X)),
inference('REWRITE',[status(thm)],[31826,33075,theory(equality)]) ).
cnf(33087,plain,
inverse(inverse(inverse(X))) = inverse(X),
inference('REWRITE',[status(thm)],[33053,33067,33086,theory(equality)]) ).
cnf(33090,plain,
multiply(X,inverse(multiply(inverse(multiply(Y,multiply(inverse(Z),Z))),multiply(Y,multiply(inverse(U),U))))) = X,
inference('REWRITE',[status(thm)],[9308,33027,33087,theory(equality)]) ).
cnf(33091,plain,
multiply(inverse(multiply(X,inverse(multiply(Y,Z)))),multiply(X,inverse(Z))) = Y,
inference('REWRITE',[status(thm)],[9281,33090,theory(equality)]) ).
cnf(33092,plain,
multiply(X,multiply(inverse(multiply(inverse(Y),Y)),inverse(inverse(multiply(inverse(Z),Z))))) = X,
inference('REWRITE',[status(thm)],[30883,33091,theory(equality)]) ).
cnf(33093,plain,
multiply(inverse(multiply(inverse(X),X)),multiply(inverse(inverse(multiply(Y,Z))),inverse(Z))) = Y,
inference('REWRITE',[status(thm)],[30808,33092,theory(equality)]) ).
cnf(33094,plain,
multiply(X,inverse(inverse(multiply(inverse(Y),Y)))) = X,
inference('REWRITE',[status(thm)],[3104,33093,theory(equality)]) ).
cnf(33105,plain,
multiply(inverse(inverse(X)),multiply(multiply(inverse(Y),Y),multiply(inverse(Z),Z))) = inverse(inverse(X)),
inference('REWRITE',[status(thm)],[33081,33094,theory(equality)]) ).
cnf(33106,plain,
multiply(X,multiply(inverse(Y),Y)) = X,
inference('REWRITE',[status(thm)],[11587,33094,33105,theory(equality)]) ).
cnf(33112,plain,
multiply(inverse(inverse(X)),multiply(inverse(Y),multiply(multiply(inverse(Z),Z),Y))) = inverse(inverse(X)),
inference('REWRITE',[status(thm)],[33084,33106,theory(equality)]) ).
cnf(33115,plain,
multiply(inverse(multiply(inverse(X),X)),inverse(inverse(Y))) = multiply(inverse(multiply(Z,inverse(Y))),multiply(Z,multiply(inverse(U),multiply(multiply(inverse(V),V),U)))),
inference('REWRITE',[status(thm)],[25747,33112,theory(equality)]) ).
cnf(33121,plain,
multiply(inverse(multiply(inverse(X),X)),multiply(inverse(inverse(Y)),inverse(Z))) = inverse(multiply(inverse(inverse(Z)),inverse(Y))),
inference('REWRITE',[status(thm)],[4208,33106,theory(equality)]) ).
cnf(33123,plain,
inverse(multiply(inverse(inverse(X)),inverse(Y))) = multiply(inverse(multiply(Z,inverse(Y))),multiply(Z,inverse(X))),
inference('REWRITE',[status(thm)],[223,33121,theory(equality)]) ).
cnf(33157,plain,
inverse(inverse(X)) = X,
inference('REWRITE',[status(thm)],[25207,32652,22283,33087,33123,33106,theory(equality)]) ).
cnf(33158,plain,
multiply(X,multiply(inverse(Y),multiply(multiply(inverse(Z),Z),Y))) = X,
inference('REWRITE',[status(thm)],[32652,33157,theory(equality)]) ).
cnf(33167,plain,
multiply(inverse(multiply(inverse(X),X)),Y) = multiply(inverse(multiply(Z,inverse(Y))),Z),
inference('REWRITE',[status(thm)],[33115,33158,33157,theory(equality)]) ).
cnf(33196,plain,
multiply(inverse(multiply(X,inverse(Y))),X) = Y,
inference('REWRITE',[status(thm)],[22692,33157,33106,theory(equality)]) ).
cnf(33198,plain,
multiply(inverse(multiply(inverse(X),X)),Y) = Y,
inference('REWRITE',[status(thm)],[33167,33196,theory(equality)]) ).
cnf(33199,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference('REWRITE',[status(thm)],[3321,33198,theory(equality)]) ).
cnf(33218,plain,
inverse(multiply(X,Y)) = multiply(inverse(multiply(Z,Y)),multiply(Z,inverse(X))),
inference('REWRITE',[status(thm)],[24212,33106,33157,33067,theory(equality)]) ).
cnf(33219,plain,
multiply(inverse(X),inverse(Y)) = inverse(multiply(Y,X)),
inference('REWRITE',[status(thm)],[24213,33218,33198,33157,33067,theory(equality)]) ).
cnf(33230,plain,
multiply(X,inverse(multiply(Y,inverse(Z)))) = inverse(multiply(Y,inverse(multiply(X,Z)))),
inference('REWRITE',[status(thm)],[1446,33198,33157,33027,theory(equality)]) ).
cnf(33252,plain,
multiply(X,multiply(Y,Z)) = multiply(multiply(X,Y),Z),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[33230,33219,theory(equality)]),33219,33157,theory(equality)]) ).
cnf(33253,plain,
$false,
inference('REWRITE',[status(thm)],[33199,33252,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP051-1 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n015.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 : 600
% 0.12/0.33 % DateTime : Mon Jun 13 18:54:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T18:54:08
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-06-13T18:54:08
% 26.03/26.22
% 26.03/26.22
% 26.03/26.22 #||
% 26.03/26.22 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 26.03/26.22 % SZS output start Refutation
% See solution above
% 26.13/26.32 ||#
% 26.13/26.32
% 26.13/26.32 ; Summary of computation:
% 26.13/26.32 ; 153003 formulas have been input or derived (from 202 formulas).
% 26.13/26.32 ; 33253 (22%) were retained. Of these,
% 26.13/26.32 ; 33212 (100%) were simplified or subsumed later,
% 26.13/26.32 ; 41 ( 0%) are still being kept.
% 26.13/26.32 ;
% 26.13/26.32 ; Run time in seconds excluding printing time:
% 26.13/26.32 ; 0.001 0% Read assertion file (1 call)
% 26.13/26.32 ; 0.000 0% Assert (2 calls)
% 26.13/26.32 ; 6.099 24% Process new row (150,216 calls)
% 26.13/26.32 ; 0.104 0% Resolution (402 calls)
% 26.13/26.32 ; 2.690 10% Paramodulation (201 calls)
% 26.13/26.32 ; 0.004 0% Condensing (314 calls)
% 26.13/26.32 ; 0.025 0% Forward subsumption (314 calls)
% 26.13/26.32 ; 0.015 0% Backward subsumption (153 calls)
% 26.13/26.32 ; 0.011 0% Clause clause subsumption (5,416 calls)
% 26.13/26.32 ; 7.858 31% Forward simplification (147,910 calls)
% 26.13/26.32 ; 8.039 31% Backward simplification (33,253 calls)
% 26.13/26.32 ; 0.407 2% Ordering (210,967 calls)
% 26.13/26.32 ; 0.000 0% Sortal reasoning (32 calls)
% 26.13/26.32 ; 0.000 0% Purity testing (1 call)
% 26.13/26.32 ; 0.502 2% Other
% 26.13/26.32 ; 25.755 Total
% 26.13/26.32 ; 25.858 Real time
% 26.13/26.32 ;
% 26.13/26.32 ; Term-hash-array has 62,172 terms in all.
% 26.13/26.32 ; Feature-vector-row-index has 0 entries (117 at peak, 153 added, 153 deleted).
% 26.13/26.32 ; Feature-vector-row-index has 1 node (286 at peak, 369 added, 368 deleted).
% 26.13/26.32 ; Retrieved 4,820 possibly forward subsuming rows in 314 calls.
% 26.13/26.32 ; Retrieved 1,734 possibly backward subsumed rows in 153 calls.
% 26.13/26.32 ; Path-index has 146 entries (37,509 at peak, 64,076 added, 63,930 deleted).
% 26.13/26.32 ; Path-index has 39,191 nodes (49,021 at peak, 64,816 added, 25,625 deleted).
% 26.13/26.32 ; Trie-index has 146 entries (37,509 at peak, 64,076 added, 63,930 deleted).
% 26.13/26.32 ; Trie-index has 493 nodes (307,410 at peak, 545,302 added, 544,809 deleted).
% 26.13/26.32 ; Retrieved 355,037 generalization terms in 1,974,040 calls.
% 26.13/26.32 ; Retrieved 67,023 instance terms in 33,160 calls.
% 26.13/26.32 ; Retrieved 371,722 unifiable terms in 2,572 calls.
% 26.13/26.32 ;
% 26.13/26.32 ; The agenda of rows to process has 54 entries:
% 26.13/26.32 ; 9 with value 37 4 with value 40 4 with value 43
% 26.13/26.32 ; 10 with value 38 6 with value 41 2 with value 44
% 26.13/26.32 ; 12 with value 39 7 with value 42
% 26.13/26.32 ; The agenda of rows to give has 26 entries:
% 26.13/26.32 ; 2 with value (4 30) 3 with value (4 33) 4 with value (4 35)
% 26.13/26.32 ; 2 with value (4 31) 5 with value (4 34) 7 with value (4 36)
% 26.13/26.32 ; 3 with value (4 32)
% 26.13/26.32 Evaluation took:
% 26.13/26.32 25.861 seconds of real time
% 26.13/26.32 23.644144 seconds of user run time
% 26.13/26.32 2.214099 seconds of system run time
% 26.13/26.32 [Run times include 8.014 seconds GC run time.]
% 26.13/26.32 0 calls to %EVAL
% 26.13/26.32 0 page faults and
% 26.13/26.32 1,540,705,920 bytes consed.
% 26.13/26.32 :PROOF-FOUND
% 26.13/26.32 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T18:54:34
% 26.13/26.32 :PROOF-FOUND
% 26.13/26.32 *
%------------------------------------------------------------------------------