TSTP Solution File: GRP411-1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP411-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n006.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 11:38:14 EDT 2022
% Result : Unsatisfiable 24.86s 25.06s
% Output : Refutation 24.93s
% 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_3,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_3) ).
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(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(221,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(222,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(223,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(225,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(230,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(235,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)],[10,230,theory(equality)]) ).
cnf(238,plain,
multiply(multiply(inverse(X),X),inverse(multiply(inverse(Y),Y))) = inverse(multiply(inverse(Z),Z)),
inference('PARAMODULATE',[status(thm)],[235,215,theory(equality)]) ).
cnf(239,plain,
inverse(multiply(inverse(X),X)) = inverse(multiply(inverse(Y),Y)),
inference('PARAMODULATE',[status(thm)],[238,238,theory(equality)]) ).
cnf(251,plain,
multiply(inverse(multiply(inverse(X),X)),multiply(inverse(Y),Y)) = multiply(inverse(Z),Z),
inference('PARAMODULATE',[status(thm)],[215,239,theory(equality)]) ).
cnf(289,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)],[216,215,theory(equality)]) ).
cnf(290,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)],[216,215,theory(equality)]) ).
cnf(291,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)],[216,215,theory(equality)]) ).
cnf(296,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)],[216,216,theory(equality)]) ).
cnf(297,plain,
inverse(multiply(X,inverse(multiply(inverse(Y),Y)))) = inverse(multiply(X,inverse(multiply(inverse(Z),Z)))),
inference('REWRITE',[status(thm)],[134,296,theory(equality)]) ).
cnf(298,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)],[46,296,theory(equality)]) ).
cnf(319,plain,
inverse(inverse(multiply(inverse(X),X))) = inverse(multiply(multiply(inverse(Y),Y),inverse(multiply(inverse(Z),Z)))),
inference('PARAMODULATE',[status(thm)],[297,238,theory(equality)]) ).
cnf(348,plain,
multiply(inverse(inverse(multiply(inverse(X),X))),inverse(multiply(inverse(Y),Y))) = multiply(inverse(Z),Z),
inference('PARAMODULATE',[status(thm)],[216,298,theory(equality)]) ).
cnf(355,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)],[298,238,theory(equality)]) ).
cnf(391,plain,
inverse(inverse(multiply(inverse(X),X))) = inverse(inverse(multiply(inverse(Y),Y))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[216,348,theory(equality)]),291,theory(equality)]) ).
cnf(425,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)],[391,319,theory(equality)]) ).
cnf(452,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)],[348,319,theory(equality)]) ).
cnf(462,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)],[319,319,theory(equality)]) ).
cnf(955,plain,
multiply(X,inverse(multiply(inverse(Y),Y))) = multiply(X,inverse(multiply(inverse(Z),Z))),
inference('PARAMODULATE',[status(thm)],[216,223,theory(equality)]) ).
cnf(1429,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)],[289,223,theory(equality)]) ).
cnf(1477,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)],[290,215,theory(equality)]) ).
cnf(1875,plain,
inverse(multiply(X,inverse(multiply(inverse(multiply(inverse(Y),Y)),Z)))) = inverse(multiply(X,inverse(Z))),
inference('PARAMODULATE',[status(thm)],[225,238,theory(equality)]) ).
cnf(1893,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)],[93,1875,theory(equality)]) ).
cnf(1896,plain,
inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(X),X)),Y))),inverse(Y))) = inverse(multiply(inverse(Z),Z)),
inference('PARAMODULATE',[status(thm)],[239,1875,theory(equality)]) ).
cnf(1903,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)],[1875,221,theory(equality)]) ).
cnf(1925,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)],[79,1903,theory(equality)]) ).
cnf(1930,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)],[1875,955,theory(equality)]),1875,theory(equality)]) ).
cnf(1942,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)],[1875,348,theory(equality)]) ).
cnf(1943,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)],[1893,1942,theory(equality)]) ).
cnf(2082,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)],[215,1930,theory(equality)]),355,theory(equality)]) ).
cnf(2249,plain,
inverse(inverse(X)) = inverse(inverse(multiply(inverse(multiply(inverse(Y),Y)),X))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[216,1896,theory(equality)]),291,theory(equality)]) ).
cnf(2258,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)],[1943,2249,theory(equality)]) ).
cnf(2274,plain,
multiply(inverse(inverse(X)),inverse(multiply(inverse(multiply(inverse(Y),Y)),X))) = multiply(inverse(Z),Z),
inference('PARAMODULATE',[status(thm)],[215,2249,theory(equality)]) ).
cnf(2291,plain,
inverse(inverse(inverse(multiply(inverse(X),X)))) = inverse(inverse(inverse(multiply(inverse(Y),Y)))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2249,955,theory(equality)]),2249,theory(equality)]) ).
cnf(2299,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)],[2249,1930,theory(equality)]),2249,theory(equality)]) ).
cnf(2482,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)],[2299,319,theory(equality)]) ).
cnf(2542,plain,
inverse(inverse(multiply(inverse(X),X))) = multiply(inverse(Y),Y),
inference('PARAMODULATE',[status(thm)],[391,2082,theory(equality)]) ).
cnf(2543,plain,
inverse(inverse(inverse(multiply(inverse(X),X)))) = inverse(multiply(inverse(Y),Y)),
inference('PARAMODULATE',[status(thm)],[2291,2542,theory(equality)]) ).
cnf(2546,plain,
inverse(inverse(inverse(inverse(multiply(inverse(X),X))))) = inverse(inverse(multiply(inverse(Y),Y))),
inference('PARAMODULATE',[status(thm)],[2299,2542,theory(equality)]) ).
cnf(2552,plain,
inverse(multiply(X,inverse(inverse(multiply(inverse(Y),Y))))) = inverse(multiply(X,multiply(inverse(Z),Z))),
inference('PARAMODULATE',[status(thm)],[1930,2542,theory(equality)]) ).
cnf(2554,plain,
multiply(X,inverse(multiply(inverse(Y),Y))) = multiply(X,inverse(inverse(inverse(multiply(inverse(Z),Z))))),
inference('PARAMODULATE',[status(thm)],[955,2542,theory(equality)]) ).
cnf(2557,plain,
multiply(inverse(inverse(multiply(inverse(X),X))),inverse(multiply(inverse(Y),Y))) = inverse(multiply(inverse(Z),Z)),
inference('PARAMODULATE',[status(thm)],[238,2542,theory(equality)]) ).
cnf(2569,plain,
multiply(multiply(inverse(X),X),inverse(inverse(inverse(multiply(inverse(Y),Y))))) = inverse(multiply(inverse(Z),Z)),
inference('PARAMODULATE',[status(thm)],[238,2542,theory(equality)]) ).
cnf(2574,plain,
multiply(inverse(inverse(multiply(inverse(X),X))),inverse(inverse(inverse(multiply(inverse(Y),Y))))) = multiply(inverse(Z),Z),
inference('PARAMODULATE',[status(thm)],[348,2542,theory(equality)]) ).
cnf(2587,plain,
inverse(inverse(X)) = inverse(inverse(multiply(inverse(multiply(multiply(inverse(Y),Y),inverse(multiply(inverse(Z),Z)))),X))),
inference('PARAMODULATE',[status(thm)],[2249,2542,theory(equality)]) ).
cnf(2590,plain,
inverse(inverse(inverse(multiply(inverse(X),X)))) = inverse(inverse(multiply(inverse(Y),Y))),
inference('REWRITE',[status(thm)],[425,2587,theory(equality)]) ).
cnf(2591,plain,
multiply(inverse(inverse(inverse(multiply(inverse(X),X)))),inverse(multiply(inverse(Y),Y))) = multiply(inverse(Z),Z),
inference('REWRITE',[status(thm)],[452,2587,theory(equality)]) ).
cnf(2596,plain,
inverse(inverse(inverse(inverse(inverse(multiply(inverse(X),X)))))) = inverse(inverse(inverse(inverse(multiply(inverse(Y),Y))))),
inference('REWRITE',[status(thm)],[2482,2587,theory(equality)]) ).
cnf(2685,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)],[1875,2542,theory(equality)]) ).
cnf(2689,plain,
inverse(inverse(multiply(inverse(X),X))) = inverse(multiply(multiply(inverse(Y),Y),inverse(inverse(multiply(inverse(Z),Z))))),
inference('REWRITE',[status(thm)],[462,2685,theory(equality)]) ).
cnf(2693,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)],[222,2542,theory(equality)]) ).
cnf(2705,plain,
inverse(inverse(inverse(multiply(inverse(X),X)))) = multiply(inverse(Y),Y),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2542,319,theory(equality)]),2587,theory(equality)]) ).
cnf(2714,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)],[222,2542,theory(equality)]) ).
cnf(2792,plain,
inverse(multiply(inverse(X),X)) = inverse(inverse(multiply(inverse(Y),Y))),
inference('PARAMODULATE',[status(thm)],[2590,2542,theory(equality)]) ).
cnf(2931,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)],[216,2590,theory(equality)]) ).
cnf(2932,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)],[1925,2931,theory(equality)]) ).
cnf(2978,plain,
inverse(multiply(inverse(X),X)) = multiply(inverse(Y),Y),
inference('PARAMODULATE',[status(thm)],[2542,2792,theory(equality)]) ).
cnf(2981,plain,
multiply(X,inverse(multiply(inverse(Y),Y))) = multiply(X,inverse(inverse(multiply(inverse(Z),Z)))),
inference('PARAMODULATE',[status(thm)],[955,2792,theory(equality)]) ).
cnf(2983,plain,
inverse(inverse(X)) = inverse(inverse(multiply(inverse(inverse(multiply(inverse(Y),Y))),X))),
inference('PARAMODULATE',[status(thm)],[2249,2792,theory(equality)]) ).
cnf(2986,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)],[2932,2983,theory(equality)]) ).
cnf(3004,plain,
multiply(multiply(inverse(X),X),inverse(inverse(multiply(inverse(Y),Y)))) = inverse(multiply(inverse(Z),Z)),
inference('PARAMODULATE',[status(thm)],[238,2792,theory(equality)]) ).
cnf(3076,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)],[289,2792,theory(equality)]) ).
cnf(3223,plain,
multiply(multiply(inverse(X),X),multiply(inverse(Y),Y)) = multiply(inverse(Z),Z),
inference('PARAMODULATE',[status(thm)],[251,2978,theory(equality)]) ).
cnf(3229,plain,
multiply(X,inverse(multiply(inverse(Y),Y))) = multiply(X,multiply(inverse(Z),Z)),
inference('PARAMODULATE',[status(thm)],[955,2978,theory(equality)]) ).
cnf(3230,plain,
multiply(multiply(inverse(X),X),multiply(inverse(Y),Y)) = inverse(multiply(inverse(Z),Z)),
inference('PARAMODULATE',[status(thm)],[238,2978,theory(equality)]) ).
cnf(3235,plain,
inverse(inverse(multiply(inverse(X),X))) = inverse(multiply(multiply(inverse(Y),Y),multiply(inverse(Z),Z))),
inference('PARAMODULATE',[status(thm)],[319,2978,theory(equality)]) ).
cnf(3238,plain,
multiply(inverse(inverse(X)),inverse(multiply(multiply(inverse(Y),Y),X))) = multiply(inverse(Z),Z),
inference('PARAMODULATE',[status(thm)],[2274,2978,theory(equality)]) ).
cnf(3391,plain,
inverse(inverse(inverse(multiply(inverse(X),X)))) = multiply(multiply(inverse(Y),Y),multiply(inverse(Z),Z)),
inference('PARAMODULATE',[status(thm)],[2705,2978,theory(equality)]) ).
cnf(3572,plain,
inverse(multiply(inverse(X),X)) = multiply(inverse(multiply(inverse(Y),Y)),inverse(inverse(multiply(inverse(Z),Z)))),
inference('PARAMODULATE',[status(thm)],[2978,2543,theory(equality)]) ).
cnf(3627,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)],[222,2543,theory(equality)]) ).
cnf(4169,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)],[221,3223,theory(equality)]) ).
cnf(4267,plain,
multiply(X,multiply(inverse(Y),Y)) = multiply(X,multiply(inverse(Z),Z)),
inference('PARAMODULATE',[status(thm)],[3229,3229,theory(equality)]) ).
cnf(4693,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)],[223,2546,theory(equality)]) ).
cnf(5282,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)],[221,2591,theory(equality)]) ).
cnf(6814,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)],[108,2689,theory(equality)]) ).
cnf(7117,plain,
multiply(X,inverse(inverse(multiply(inverse(Y),Y)))) = multiply(X,inverse(inverse(multiply(inverse(Z),Z)))),
inference('PARAMODULATE',[status(thm)],[2981,2981,theory(equality)]) ).
cnf(8560,plain,
inverse(multiply(X,multiply(inverse(Y),Y))) = inverse(multiply(X,multiply(inverse(Z),Z))),
inference('PARAMODULATE',[status(thm)],[2552,2552,theory(equality)]) ).
cnf(8670,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)],[222,2552,theory(equality)]) ).
cnf(9023,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)],[8560,222,theory(equality)]) ).
cnf(9076,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)],[8560,221,theory(equality)]) ).
cnf(9211,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)],[223,8560,theory(equality)]) ).
cnf(9238,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)],[2554,8560,theory(equality)]) ).
cnf(10587,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)],[2986,215,theory(equality)]) ).
cnf(10678,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)],[108,3004,theory(equality)]) ).
cnf(11506,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)],[4267,3235,theory(equality)]) ).
cnf(15673,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)],[222,2569,theory(equality)]) ).
cnf(19677,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)],[108,7117,theory(equality)]) ).
cnf(21438,plain,
inverse(X) = inverse(multiply(inverse(multiply(inverse(Y),Y)),X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[291,2274,theory(equality)]),1477,theory(equality)]) ).
cnf(21456,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)],[9076,21438,theory(equality)]) ).
cnf(21459,plain,
inverse(multiply(inverse(multiply(X,inverse(Y))),multiply(X,inverse(Z)))) = inverse(multiply(inverse(inverse(Y)),inverse(Z))),
inference('REWRITE',[status(thm)],[9023,21456,theory(equality)]) ).
cnf(21515,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)],[2714,21438,theory(equality)]) ).
cnf(21517,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)],[3627,21438,theory(equality)]) ).
cnf(21585,plain,
inverse(X) = inverse(multiply(multiply(inverse(Y),Y),X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[291,3238,theory(equality)]),1477,theory(equality)]) ).
cnf(21586,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)],[2258,21585,theory(equality)]) ).
cnf(21596,plain,
multiply(inverse(inverse(X)),multiply(inverse(Y),Y)) = inverse(inverse(multiply(X,multiply(inverse(Z),Z)))),
inference('REWRITE',[status(thm)],[21517,21586,theory(equality)]) ).
cnf(21708,plain,
inverse(inverse(multiply(X,multiply(inverse(Y),Y)))) = inverse(inverse(multiply(X,multiply(inverse(Z),Z)))),
inference('REWRITE',[status(thm)],[19677,21586,theory(equality)]) ).
cnf(21774,plain,
multiply(inverse(inverse(X)),inverse(multiply(inverse(Y),Y))) = inverse(inverse(multiply(X,multiply(inverse(Z),Z)))),
inference('REWRITE',[status(thm)],[10678,21586,21585,theory(equality)]) ).
cnf(21867,plain,
inverse(X) = inverse(multiply(inverse(inverse(multiply(inverse(Y),Y))),X)),
inference('PARAMODULATE',[status(thm)],[21438,2557,theory(equality)]) ).
cnf(21924,plain,
inverse(X) = inverse(multiply(inverse(inverse(inverse(multiply(inverse(Y),Y)))),X)),
inference('PARAMODULATE',[status(thm)],[21438,2542,theory(equality)]) ).
cnf(21933,plain,
inverse(multiply(inverse(X),X)) = multiply(inverse(Y),multiply(inverse(multiply(inverse(Z),Z)),Y)),
inference('PARAMODULATE',[status(thm)],[2978,21438,theory(equality)]) ).
cnf(21937,plain,
inverse(X) = inverse(multiply(multiply(multiply(inverse(Y),Y),multiply(inverse(Z),Z)),X)),
inference('PARAMODULATE',[status(thm)],[21438,3230,theory(equality)]) ).
cnf(21940,plain,
inverse(multiply(inverse(X),multiply(inverse(multiply(inverse(Y),Y)),X))) = inverse(multiply(inverse(Z),Z)),
inference('PARAMODULATE',[status(thm)],[239,21438,theory(equality)]) ).
cnf(22157,plain,
inverse(multiply(inverse(X),X)) = multiply(inverse(Y),multiply(multiply(inverse(Z),Z),Y)),
inference('PARAMODULATE',[status(thm)],[2978,21585,theory(equality)]) ).
cnf(22158,plain,
inverse(multiply(inverse(X),multiply(multiply(inverse(Y),Y),X))) = multiply(inverse(Z),Z),
inference('PARAMODULATE',[status(thm)],[2978,21585,theory(equality)]) ).
cnf(22167,plain,
inverse(X) = inverse(multiply(inverse(multiply(inverse(Y),multiply(multiply(inverse(Z),Z),Y))),X)),
inference('PARAMODULATE',[status(thm)],[21438,21585,theory(equality)]) ).
cnf(22422,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)],[21586,2590,theory(equality)]) ).
cnf(22428,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)],[21586,2557,theory(equality)]) ).
cnf(22435,plain,
inverse(inverse(X)) = inverse(inverse(multiply(multiply(inverse(inverse(multiply(X,Y))),inverse(Y)),inverse(multiply(inverse(Z),Z))))),
inference('REWRITE',[status(thm)],[10587,22428,theory(equality)]) ).
cnf(22448,plain,
inverse(inverse(multiply(X,inverse(multiply(inverse(Y),Y))))) = inverse(inverse(multiply(X,multiply(inverse(Z),Z)))),
inference('REWRITE',[status(thm)],[22422,22428,theory(equality)]) ).
cnf(22462,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)],[21586,2542,theory(equality)]) ).
cnf(22471,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)],[4693,22462,theory(equality)]) ).
cnf(22496,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)],[21586,2705,theory(equality)]) ).
cnf(22569,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)],[21586,2291,theory(equality)]),22462,21924,theory(equality)]) ).
cnf(22575,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)],[21586,8560,theory(equality)]) ).
cnf(22591,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)],[21586,2552,theory(equality)]) ).
cnf(23292,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)],[22435,22435,theory(equality)]) ).
cnf(23378,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)],[22435,291,theory(equality)]),21867,21459,theory(equality)]) ).
cnf(23493,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)],[22435,2554,theory(equality)]) ).
cnf(24090,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)],[222,21596,theory(equality)]) ).
cnf(24091,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)],[221,21596,theory(equality)]) ).
cnf(24177,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)],[22435,21933,theory(equality)]) ).
cnf(25081,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)],[21586,21937,theory(equality)]) ).
cnf(25619,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)],[221,22157,theory(equality)]) ).
cnf(25649,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)],[22448,22157,theory(equality)]) ).
cnf(26655,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)],[22435,21940,theory(equality)]) ).
cnf(27209,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)],[290,22158,theory(equality)]),21438,theory(equality)]) ).
cnf(28848,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)],[222,2574,theory(equality)]) ).
cnf(29191,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)],[223,2596,theory(equality)]),22496,theory(equality)]) ).
cnf(30663,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)],[289,3572,theory(equality)]) ).
cnf(30738,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)],[223,3572,theory(equality)]) ).
cnf(30740,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)],[291,3572,theory(equality)]) ).
cnf(30832,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)],[221,3572,theory(equality)]),21438,theory(equality)]) ).
cnf(31526,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)],[21515,2792,theory(equality)]) ).
cnf(31664,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)],[21515,3391,theory(equality)]) ).
cnf(31673,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)],[21515,22157,theory(equality)]) ).
cnf(31677,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)],[21515,2552,theory(equality)]) ).
cnf(31691,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)],[21515,2552,theory(equality)]) ).
cnf(31771,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)],[290,21515,theory(equality)]),21867,theory(equality)]) ).
cnf(31792,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)],[21708,21596,theory(equality)]) ).
cnf(32149,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)],[21774,21515,theory(equality)]) ).
cnf(32468,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)],[216,21774,theory(equality)]),21586,theory(equality)]) ).
cnf(32494,plain,
inverse(inverse(inverse(inverse(X)))) = inverse(inverse(inverse(inverse(multiply(X,multiply(inverse(Y),Y)))))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[22435,21774,theory(equality)]),23378,theory(equality)]) ).
cnf(32497,plain,
inverse(inverse(inverse(inverse(X)))) = inverse(inverse(multiply(inverse(inverse(X)),multiply(inverse(Y),Y)))),
inference('REWRITE',[status(thm)],[31792,32494,theory(equality)]) ).
cnf(32498,plain,
multiply(inverse(inverse(inverse(inverse(X)))),inverse(multiply(inverse(Y),Y))) = inverse(inverse(X)),
inference('REWRITE',[status(thm)],[32468,32494,32497,theory(equality)]) ).
cnf(32499,plain,
inverse(inverse(X)) = inverse(inverse(multiply(inverse(multiply(Y,inverse(X))),multiply(Y,multiply(inverse(Z),Z))))),
inference('REWRITE',[status(thm)],[32149,32498,theory(equality)]) ).
cnf(32500,plain,
multiply(multiply(inverse(inverse(X)),multiply(inverse(Y),Y)),inverse(multiply(inverse(Z),Z))) = inverse(inverse(X)),
inference('REWRITE',[status(thm)],[31771,32499,theory(equality)]) ).
cnf(32501,plain,
inverse(inverse(multiply(X,multiply(inverse(Y),multiply(multiply(inverse(Z),Z),Y))))) = X,
inference('REWRITE',[status(thm)],[27209,32500,theory(equality)]) ).
cnf(32502,plain,
X = inverse(inverse(multiply(X,multiply(inverse(Y),Y)))),
inference('REWRITE',[status(thm)],[25649,32501,theory(equality)]) ).
cnf(32513,plain,
inverse(inverse(inverse(inverse(X)))) = inverse(inverse(X)),
inference('REWRITE',[status(thm)],[32497,32502,theory(equality)]) ).
cnf(32571,plain,
multiply(inverse(inverse(X)),inverse(multiply(inverse(Y),Y))) = inverse(inverse(X)),
inference('REWRITE',[status(thm)],[32498,32513,theory(equality)]) ).
cnf(32573,plain,
inverse(inverse(X)) = inverse(inverse(multiply(X,multiply(inverse(Y),multiply(inverse(multiply(inverse(Z),Z)),Y))))),
inference('REWRITE',[status(thm)],[26655,32513,32571,theory(equality)]) ).
cnf(32869,plain,
inverse(inverse(X)) = inverse(inverse(multiply(inverse(inverse(multiply(X,Y))),inverse(Y)))),
inference('REWRITE',[status(thm)],[24177,32573,theory(equality)]) ).
cnf(32870,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)],[23292,32869,theory(equality)]) ).
cnf(32871,plain,
inverse(inverse(X)) = inverse(inverse(multiply(X,inverse(inverse(inverse(multiply(inverse(Y),Y))))))),
inference('REWRITE',[status(thm)],[23493,32870,theory(equality)]) ).
cnf(32872,plain,
inverse(inverse(multiply(X,inverse(multiply(inverse(Y),Y))))) = X,
inference('REWRITE',[status(thm)],[29191,32871,theory(equality)]) ).
cnf(32873,plain,
inverse(inverse(X)) = multiply(inverse(inverse(X)),inverse(inverse(multiply(inverse(Y),Y)))),
inference('REWRITE',[status(thm)],[32870,32872,theory(equality)]) ).
cnf(32874,plain,
inverse(inverse(multiply(X,inverse(inverse(multiply(inverse(Y),Y)))))) = inverse(inverse(X)),
inference('REWRITE',[status(thm)],[22569,32871,32873,theory(equality)]) ).
cnf(32875,plain,
multiply(X,inverse(multiply(inverse(Y),Y))) = X,
inference('REWRITE',[status(thm)],[22471,32872,32874,theory(equality)]) ).
cnf(32898,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)],[30740,32875,theory(equality)]) ).
cnf(32899,plain,
multiply(inverse(multiply(inverse(X),X)),multiply(inverse(inverse(inverse(multiply(inverse(Y),Y)))),inverse(Z))) = inverse(Z),
inference('REWRITE',[status(thm)],[30832,32898,theory(equality)]) ).
cnf(32900,plain,
multiply(inverse(multiply(inverse(X),X)),multiply(inverse(inverse(multiply(inverse(Y),Y))),inverse(Z))) = inverse(Z),
inference('REWRITE',[status(thm)],[5282,32899,theory(equality)]) ).
cnf(32901,plain,
multiply(inverse(multiply(inverse(inverse(X)),inverse(inverse(inverse(multiply(inverse(Y),Y)))))),multiply(inverse(Z),Z)) = inverse(X),
inference('REWRITE',[status(thm)],[28848,32900,theory(equality)]) ).
cnf(32902,plain,
inverse(X) = multiply(inverse(inverse(multiply(inverse(Y),Y))),multiply(multiply(inverse(Z),Z),inverse(X))),
inference('REWRITE',[status(thm)],[15673,32901,theory(equality)]) ).
cnf(32905,plain,
inverse(X) = multiply(inverse(multiply(Y,inverse(inverse(multiply(inverse(Z),Z))))),multiply(Y,inverse(X))),
inference('REWRITE',[status(thm)],[6814,32902,theory(equality)]) ).
cnf(32911,plain,
multiply(inverse(multiply(inverse(inverse(X)),multiply(inverse(Y),Y))),multiply(inverse(Z),Z)) = inverse(X),
inference('REWRITE',[status(thm)],[8670,32905,theory(equality)]) ).
cnf(32912,plain,
inverse(X) = multiply(inverse(multiply(Y,multiply(inverse(Z),Z))),multiply(Y,inverse(X))),
inference('REWRITE',[status(thm)],[2693,32911,theory(equality)]) ).
cnf(32913,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)],[31691,32912,theory(equality)]) ).
cnf(32914,plain,
multiply(inverse(multiply(X,inverse(Y))),multiply(X,inverse(inverse(multiply(inverse(Z),Z))))) = inverse(inverse(Y)),
inference('REWRITE',[status(thm)],[22591,32874,32513,32912,theory(equality)]) ).
cnf(32915,plain,
multiply(inverse(inverse(X)),multiply(inverse(Y),Y)) = inverse(inverse(X)),
inference('REWRITE',[status(thm)],[32913,32914,theory(equality)]) ).
cnf(32923,plain,
inverse(inverse(X)) = multiply(inverse(multiply(Y,inverse(X))),multiply(Y,multiply(inverse(Z),Z))),
inference('REWRITE',[status(thm)],[31526,32873,32915,theory(equality)]) ).
cnf(32929,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)],[31664,32923,theory(equality)]) ).
cnf(32932,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)],[31673,32923,theory(equality)]) ).
cnf(32934,plain,
multiply(inverse(inverse(X)),inverse(inverse(inverse(multiply(inverse(Y),Y))))) = inverse(inverse(X)),
inference('REWRITE',[status(thm)],[31677,32923,theory(equality)]) ).
cnf(32935,plain,
inverse(inverse(inverse(X))) = inverse(X),
inference('REWRITE',[status(thm)],[32901,32915,32934,theory(equality)]) ).
cnf(32938,plain,
multiply(X,inverse(multiply(inverse(multiply(Y,multiply(inverse(Z),Z))),multiply(Y,multiply(inverse(U),U))))) = X,
inference('REWRITE',[status(thm)],[9238,32875,32935,theory(equality)]) ).
cnf(32939,plain,
multiply(inverse(multiply(X,inverse(multiply(Y,Z)))),multiply(X,inverse(Z))) = Y,
inference('REWRITE',[status(thm)],[9211,32938,theory(equality)]) ).
cnf(32940,plain,
multiply(X,multiply(inverse(multiply(inverse(Y),Y)),inverse(inverse(multiply(inverse(Z),Z))))) = X,
inference('REWRITE',[status(thm)],[30738,32939,theory(equality)]) ).
cnf(32941,plain,
multiply(inverse(multiply(inverse(X),X)),multiply(inverse(inverse(multiply(Y,Z))),inverse(Z))) = Y,
inference('REWRITE',[status(thm)],[30663,32940,theory(equality)]) ).
cnf(32942,plain,
multiply(X,inverse(inverse(multiply(inverse(Y),Y)))) = X,
inference('REWRITE',[status(thm)],[3076,32941,theory(equality)]) ).
cnf(32953,plain,
multiply(inverse(inverse(X)),multiply(multiply(inverse(Y),Y),multiply(inverse(Z),Z))) = inverse(inverse(X)),
inference('REWRITE',[status(thm)],[32929,32942,theory(equality)]) ).
cnf(32954,plain,
multiply(X,multiply(inverse(Y),Y)) = X,
inference('REWRITE',[status(thm)],[11506,32942,32953,theory(equality)]) ).
cnf(32960,plain,
multiply(inverse(inverse(X)),multiply(inverse(Y),multiply(multiply(inverse(Z),Z),Y))) = inverse(inverse(X)),
inference('REWRITE',[status(thm)],[32932,32954,theory(equality)]) ).
cnf(32963,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)],[25619,32960,theory(equality)]) ).
cnf(32969,plain,
multiply(inverse(multiply(inverse(X),X)),multiply(inverse(inverse(Y)),inverse(Z))) = inverse(multiply(inverse(inverse(Z)),inverse(Y))),
inference('REWRITE',[status(thm)],[4169,32954,theory(equality)]) ).
cnf(32971,plain,
inverse(multiply(inverse(inverse(X)),inverse(Y))) = multiply(inverse(multiply(Z,inverse(Y))),multiply(Z,inverse(X))),
inference('REWRITE',[status(thm)],[221,32969,theory(equality)]) ).
cnf(33005,plain,
inverse(inverse(X)) = X,
inference('REWRITE',[status(thm)],[25081,32501,22167,32935,32971,32954,theory(equality)]) ).
cnf(33006,plain,
multiply(X,multiply(inverse(Y),multiply(multiply(inverse(Z),Z),Y))) = X,
inference('REWRITE',[status(thm)],[32501,33005,theory(equality)]) ).
cnf(33015,plain,
multiply(inverse(multiply(inverse(X),X)),Y) = multiply(inverse(multiply(Z,inverse(Y))),Z),
inference('REWRITE',[status(thm)],[32963,33006,33005,theory(equality)]) ).
cnf(33044,plain,
multiply(inverse(multiply(X,inverse(Y))),X) = Y,
inference('REWRITE',[status(thm)],[22575,33005,32954,theory(equality)]) ).
cnf(33046,plain,
multiply(inverse(multiply(inverse(X),X)),Y) = Y,
inference('REWRITE',[status(thm)],[33015,33044,theory(equality)]) ).
cnf(33065,plain,
inverse(multiply(X,Y)) = multiply(inverse(multiply(Z,Y)),multiply(Z,inverse(X))),
inference('REWRITE',[status(thm)],[24090,32954,33005,32915,theory(equality)]) ).
cnf(33066,plain,
multiply(inverse(X),inverse(Y)) = inverse(multiply(Y,X)),
inference('REWRITE',[status(thm)],[24091,33065,33046,33005,32915,theory(equality)]) ).
cnf(33077,plain,
multiply(X,inverse(multiply(Y,inverse(Z)))) = inverse(multiply(Y,inverse(multiply(X,Z)))),
inference('REWRITE',[status(thm)],[1429,33046,33005,32875,theory(equality)]) ).
cnf(33099,plain,
multiply(X,multiply(Y,Z)) = multiply(multiply(X,Y),Z),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[33077,33066,theory(equality)]),33066,33005,theory(equality)]) ).
cnf(33100,plain,
$false,
inference('REWRITE',[status(thm)],[prove_these_axioms_3,33099,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GRP411-1 : TPTP v8.1.0. Released v2.6.0.
% 0.10/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n006.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 : Tue Jun 14 00:00:11 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.20/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.45 *
% 0.20/0.45 *
% 0.20/0.45 #<PACKAGE "SNARK-USER">
% 0.20/0.45 *
% 0.20/0.46 SNARK-TPTP-OPTIONS
% 0.20/0.46 *
% 0.20/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.46 (USE-FACTORING :POS)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.46 *
% 0.20/0.46 "."
% 0.20/0.46 *
% 0.20/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T00:00:11
% 0.20/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n006.cluster.edu at 2022-06-14T00:00:11
% 24.86/25.06
% 24.86/25.06
% 24.86/25.06 #||
% 24.86/25.06 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 24.86/25.06 % SZS output start Refutation
% See solution above
% 24.93/25.15 ||#
% 24.93/25.15
% 24.93/25.15 ; Summary of computation:
% 24.93/25.15 ; 152604 formulas have been input or derived (from 199 formulas).
% 24.93/25.15 ; 33100 (22%) were retained. Of these,
% 24.93/25.15 ; 33059 (100%) were simplified or subsumed later,
% 24.93/25.15 ; 41 ( 0%) are still being kept.
% 24.93/25.15 ;
% 24.93/25.15 ; Run time in seconds excluding printing time:
% 24.93/25.15 ; 0.001 0% Read assertion file (1 call)
% 24.93/25.15 ; 0.000 0% Assert (2 calls)
% 24.93/25.15 ; 4.997 20% Process new row (149,817 calls)
% 24.93/25.15 ; 0.101 0% Resolution (396 calls)
% 24.93/25.15 ; 2.816 11% Paramodulation (198 calls)
% 24.93/25.15 ; 8.777 36% Forward simplification (147,520 calls)
% 24.93/25.15 ; 7.109 29% Backward simplification (33,100 calls)
% 24.93/25.15 ; 0.351 1% Ordering (210,948 calls)
% 24.93/25.15 ; 0.000 0% Sortal reasoning (32 calls)
% 24.93/25.15 ; 0.000 0% Purity testing (1 call)
% 24.93/25.15 ; 0.455 2% Other
% 24.93/25.15 ; 24.607 Total
% 24.93/25.15 ; 24.698 Real time
% 24.93/25.16 ;
% 24.93/25.16 ; Term-hash-array has 61,861 terms in all.
% 24.93/25.16 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 24.93/25.16 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 24.93/25.16 ; Path-index has 145 entries (37,286 at peak, 63,737 added, 63,592 deleted).
% 24.93/25.16 ; Path-index has 39,190 nodes (49,017 at peak, 64,762 added, 25,572 deleted).
% 24.93/25.16 ; Trie-index has 145 entries (37,286 at peak, 63,737 added, 63,592 deleted).
% 24.93/25.16 ; Trie-index has 492 nodes (307,067 at peak, 544,815 added, 544,323 deleted).
% 24.93/25.16 ; Retrieved 354,777 generalization terms in 1,968,208 calls.
% 24.93/25.16 ; Retrieved 67,016 instance terms in 33,160 calls.
% 24.93/25.16 ; Retrieved 371,194 unifiable terms in 2,522 calls.
% 24.93/25.16 ;
% 24.93/25.16 ; The agenda of rows to process has 54 entries:
% 24.93/25.16 ; 9 with value 37 4 with value 40 4 with value 43
% 24.93/25.16 ; 10 with value 38 6 with value 41 2 with value 44
% 24.93/25.16 ; 12 with value 39 7 with value 42
% 24.93/25.16 ; The agenda of rows to give has 26 entries:
% 24.93/25.16 ; 2 with value (4 30) 3 with value (4 33) 4 with value (4 35)
% 24.93/25.16 ; 2 with value (4 31) 5 with value (4 34) 7 with value (4 36)
% 24.93/25.16 ; 3 with value (4 32)
% 24.93/25.16 Evaluation took:
% 24.93/25.16 24.701 seconds of real time
% 24.93/25.16 22.574377 seconds of user run time
% 24.93/25.16 2.129022 seconds of system run time
% 24.93/25.16 [Run times include 7.622 seconds GC run time.]
% 24.93/25.16 0 calls to %EVAL
% 24.93/25.16 0 page faults and
% 24.93/25.16 1,528,725,752 bytes consed.
% 24.93/25.16 :PROOF-FOUND
% 24.93/25.16 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T00:00:36
% 24.93/25.16 :PROOF-FOUND
% 24.93/25.16 *
%------------------------------------------------------------------------------