TSTP Solution File: BOO035-1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : BOO035-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 14 23:49:03 EDT 2022
% Result : Unsatisfiable 4.28s 4.45s
% Output : Refutation 4.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 2
% Syntax : Number of clauses : 104 ( 100 unt; 0 nHn; 7 RR)
% Number of literals : 115 ( 114 equ; 17 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-3 aty)
% Number of variables : 706 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
multiply(multiply(X,inverse(X),Y),inverse(multiply(multiply(Z,U,V),W,multiply(Z,U,X1))),multiply(U,multiply(X1,W,V),Z)) = Y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
cnf(prove_tba_axioms,negated_conjecture,
( multiply(multiply(d,e,a),b,multiply(d,e,c)) != multiply(d,e,multiply(a,b,c))
| multiply(b,a,a) != a
| multiply(a,b,inverse(b)) != a
| multiply(a,a,b) != a
| multiply(inverse(b),b,a) != a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_tba_axioms) ).
cnf(3,plain,
multiply(multiply(X,Y,Z),inverse(multiply(multiply(U,V,W),X1,multiply(U,V,Y1))),multiply(V,multiply(Y1,X1,W),U)) = multiply(Y,multiply(Z,inverse(multiply(X,Y,Z1)),Z1),X),
inference('PARAMODULATE',[status(thm)],[single_axiom,single_axiom,theory(equality)]) ).
cnf(4,plain,
multiply(multiply(X,inverse(X),Y),inverse(multiply(multiply(Z,U,multiply(V,multiply(W,X1,Y1),Z1)),inverse(multiply(multiply(Z1,V,Y1),X1,multiply(Z1,V,W))),multiply(Z,U,multiply(U1,inverse(U1),V1)))),multiply(U,V1,Z)) = Y,
inference('PARAMODULATE',[status(thm)],[single_axiom,single_axiom,theory(equality)]) ).
cnf(7,plain,
multiply(inverse(X),multiply(Y,inverse(multiply(X,inverse(X),Z)),Z),X) = Y,
inference('PARAMODULATE',[status(thm)],[single_axiom,3,theory(equality)]) ).
cnf(8,plain,
multiply(X,multiply(Y,inverse(multiply(Z,X,U)),U),Z) = multiply(X,multiply(Y,inverse(multiply(Z,X,V)),V),Z),
inference('PARAMODULATE',[status(thm)],[3,3,theory(equality)]) ).
cnf(38,plain,
multiply(multiply(X,inverse(X),Y),inverse(multiply(multiply(Z,inverse(Z),U),inverse(multiply(Z,inverse(Z),U)),multiply(Z,inverse(Z),V))),V) = Y,
inference('PARAMODULATE',[status(thm)],[single_axiom,7,theory(equality)]) ).
cnf(39,plain,
multiply(multiply(X,inverse(X),Y),inverse(multiply(multiply(Z,U,V),multiply(W,inverse(multiply(V,inverse(V),X1)),X1),multiply(Z,U,inverse(V)))),multiply(U,W,Z)) = Y,
inference('PARAMODULATE',[status(thm)],[single_axiom,7,theory(equality)]) ).
cnf(40,plain,
multiply(multiply(X,Y,Z),inverse(multiply(multiply(U,inverse(U),V),inverse(multiply(U,inverse(U),V)),multiply(U,inverse(U),W))),W) = multiply(Y,multiply(Z,inverse(multiply(X,Y,X1)),X1),X),
inference('PARAMODULATE',[status(thm)],[3,7,theory(equality)]) ).
cnf(46,plain,
multiply(X,inverse(multiply(multiply(Y,Z,U),V,multiply(Y,Z,W))),multiply(Z,multiply(W,V,U),Y)) = multiply(multiply(X,inverse(multiply(X1,inverse(X1),Y1)),Y1),multiply(X1,inverse(multiply(inverse(X1),multiply(X,inverse(multiply(X1,inverse(X1),Y1)),Y1),Z1)),Z1),inverse(X1)),
inference('PARAMODULATE',[status(thm)],[3,7,theory(equality)]) ).
cnf(50,plain,
multiply(multiply(X,inverse(X),Y),inverse(multiply(multiply(Z,U,V),inverse(multiply(Z,U,V)),multiply(Z,U,W))),multiply(U,multiply(W,inverse(multiply(Z,U,X1)),X1),Z)) = Y,
inference('PARAMODULATE',[status(thm)],[single_axiom,8,theory(equality)]) ).
cnf(51,plain,
multiply(multiply(X,inverse(X),Y),inverse(multiply(multiply(Z,U,V),multiply(W,inverse(multiply(V,X1,Y1)),Y1),multiply(Z,U,X1))),multiply(U,multiply(X1,multiply(W,inverse(multiply(V,X1,Z1)),Z1),V),Z)) = Y,
inference('PARAMODULATE',[status(thm)],[single_axiom,8,theory(equality)]) ).
cnf(56,plain,
multiply(multiply(X,inverse(multiply(Y,inverse(Y),Z)),Z),multiply(U,inverse(X),Y),inverse(Y)) = multiply(multiply(X,inverse(multiply(Y,inverse(Y),Z)),Z),multiply(U,inverse(multiply(inverse(Y),multiply(X,inverse(multiply(Y,inverse(Y),Z)),Z),V)),V),inverse(Y)),
inference('PARAMODULATE',[status(thm)],[8,7,theory(equality)]) ).
cnf(57,plain,
multiply(X,inverse(multiply(multiply(Y,Z,U),V,multiply(Y,Z,W))),multiply(Z,multiply(W,V,U),Y)) = multiply(multiply(X,inverse(multiply(X1,inverse(X1),Y1)),Y1),multiply(X1,inverse(X),X1),inverse(X1)),
inference('REWRITE',[status(thm)],[46,56,theory(equality)]) ).
cnf(66,plain,
multiply(inverse(multiply(multiply(X,Y,Z),U,multiply(X,Y,V))),multiply(W,inverse(X1),multiply(Y,multiply(V,U,Z),X)),multiply(Y1,inverse(Y1),X1)) = multiply(inverse(multiply(multiply(X,Y,Z),U,multiply(X,Y,V))),multiply(W,inverse(multiply(multiply(Y1,inverse(Y1),X1),inverse(multiply(multiply(X,Y,Z),U,multiply(X,Y,V))),Z1)),Z1),multiply(Y1,inverse(Y1),X1)),
inference('PARAMODULATE',[status(thm)],[8,single_axiom,theory(equality)]) ).
cnf(72,plain,
multiply(inverse(multiply(multiply(X,inverse(X),Y),inverse(multiply(X,inverse(X),Y)),multiply(X,inverse(X),Z))),multiply(U,inverse(multiply(X,inverse(X),Z)),Z),multiply(multiply(X,inverse(X),Y),inverse(multiply(X,inverse(X),Y)),multiply(X,inverse(X),Z))) = U,
inference('PARAMODULATE',[status(thm)],[7,38,theory(equality)]) ).
cnf(120,plain,
multiply(multiply(multiply(inverse(X),inverse(X),X),multiply(inverse(X),inverse(multiply(X,inverse(X),Y)),Y),multiply(Z,inverse(Z),U)),inverse(multiply(multiply(V,W,X1),Y1,multiply(V,W,Z1))),multiply(W,multiply(Z1,Y1,X1),V)) = multiply(multiply(inverse(X),inverse(multiply(X,inverse(X),Y)),Y),U,multiply(inverse(X),inverse(X),X)),
inference('PARAMODULATE',[status(thm)],[3,39,theory(equality)]) ).
cnf(145,plain,
multiply(inverse(multiply(multiply(X,Y,Z),inverse(multiply(X,Y,Z)),multiply(X,Y,U))),multiply(V,inverse(multiply(X,Y,U)),multiply(Y,multiply(U,inverse(multiply(X,Y,W)),W),X)),multiply(multiply(X,Y,Z),inverse(multiply(X,Y,Z)),multiply(X,Y,U))) = V,
inference('PARAMODULATE',[status(thm)],[7,50,theory(equality)]) ).
cnf(187,plain,
multiply(X,inverse(multiply(multiply(Y,inverse(Y),Z),inverse(multiply(Y,inverse(Y),Z)),multiply(Y,inverse(Y),U))),U) = multiply(multiply(X,inverse(multiply(V,inverse(V),W)),W),multiply(V,inverse(X),V),inverse(V)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[40,7,theory(equality)]),56,theory(equality)]) ).
cnf(250,plain,
multiply(multiply(multiply(X,inverse(X),Y),inverse(multiply(Z,inverse(Z),U)),U),multiply(Z,inverse(multiply(X,inverse(X),Y)),Z),inverse(Z)) = Y,
inference('PARAMODULATE',[status(thm)],[single_axiom,57,theory(equality)]) ).
cnf(251,plain,
multiply(multiply(multiply(X,Y,Z),inverse(multiply(U,inverse(U),V)),V),multiply(U,inverse(multiply(X,Y,Z)),U),inverse(U)) = multiply(Y,multiply(Z,inverse(multiply(X,Y,W)),W),X),
inference('PARAMODULATE',[status(thm)],[3,57,theory(equality)]) ).
cnf(253,plain,
multiply(X,inverse(multiply(multiply(Y,Z,U),V,multiply(Y,Z,W))),multiply(Z,multiply(W,V,U),Y)) = multiply(X,inverse(multiply(multiply(X1,Y1,Z1),U1,multiply(X1,Y1,V1))),multiply(Y1,multiply(V1,U1,Z1),X1)),
inference('PARAMODULATE',[status(thm)],[57,57,theory(equality)]) ).
cnf(262,plain,
multiply(X,inverse(multiply(multiply(Y,Z,multiply(U,multiply(V,W,X1),Y1)),inverse(multiply(multiply(Y1,U,X1),W,multiply(Y1,U,V))),multiply(Y,Z,multiply(Z1,inverse(Z1),U1)))),multiply(Z,U1,Y)) = multiply(multiply(X,inverse(multiply(V1,inverse(V1),W1)),W1),multiply(V1,inverse(X),V1),inverse(V1)),
inference('PARAMODULATE',[status(thm)],[57,single_axiom,theory(equality)]) ).
cnf(269,plain,
multiply(multiply(X,inverse(X),Y),inverse(multiply(Z,inverse(Z),Z)),multiply(Z,inverse(multiply(multiply(U,V,W),X1,multiply(U,V,Y1))),multiply(V,multiply(Y1,X1,W),U))) = Y,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[single_axiom,57,theory(equality)]),7,theory(equality)]) ).
cnf(309,plain,
multiply(inverse(multiply(multiply(X,Y,Z),U,multiply(X,Y,V))),multiply(W,inverse(multiply(multiply(X1,inverse(multiply(Y1,inverse(Y1),Z1)),Z1),multiply(Y1,inverse(X1),Y1),inverse(Y1))),multiply(Y,multiply(V,U,Z),X)),X1) = multiply(inverse(multiply(multiply(X,Y,Z),U,multiply(X,Y,V))),multiply(W,inverse(multiply(X1,inverse(multiply(multiply(X,Y,Z),U,multiply(X,Y,V))),U1)),U1),X1),
inference('PARAMODULATE',[status(thm)],[8,57,theory(equality)]) ).
cnf(362,plain,
multiply(multiply(X,inverse(X),Y),inverse(multiply(multiply(Z,inverse(multiply(multiply(U,V,W),X1,multiply(U,V,Y1))),multiply(V,multiply(Y1,X1,W),U)),inverse(multiply(Z,inverse(multiply(multiply(U,V,W),X1,multiply(U,V,Y1))),multiply(V,multiply(Y1,X1,W),U))),multiply(multiply(Z,inverse(multiply(Z1,inverse(Z1),U1)),U1),multiply(Z1,inverse(Z),Z1),V1))),multiply(multiply(Z1,inverse(Z),Z1),multiply(V1,inverse(multiply(multiply(Z,inverse(multiply(Z1,inverse(Z1),U1)),U1),multiply(Z1,inverse(Z),Z1),W1)),W1),multiply(Z,inverse(multiply(Z1,inverse(Z1),U1)),U1))) = Y,
inference('PARAMODULATE',[status(thm)],[50,57,theory(equality)]) ).
cnf(399,plain,
multiply(multiply(X,inverse(X),Y),inverse(multiply(Z,inverse(Z),Z)),multiply(Z,inverse(multiply(multiply(U,inverse(U),V),inverse(multiply(U,inverse(U),V)),multiply(U,inverse(U),W))),W)) = Y,
inference('PARAMODULATE',[status(thm)],[269,7,theory(equality)]) ).
cnf(400,plain,
multiply(inverse(multiply(X,inverse(X),X)),multiply(Y,inverse(X),multiply(X,inverse(multiply(multiply(Z,U,V),W,multiply(Z,U,X1))),multiply(U,multiply(X1,W,V),Z))),multiply(X,inverse(X),X)) = Y,
inference('PARAMODULATE',[status(thm)],[7,269,theory(equality)]) ).
cnf(445,plain,
multiply(inverse(multiply(X,inverse(X),X)),multiply(Y,inverse(Z),multiply(X,inverse(multiply(multiply(U,V,W),X1,multiply(U,V,Y1))),multiply(V,multiply(Y1,X1,W),U))),multiply(Z1,inverse(Z1),Z)) = multiply(inverse(multiply(X,inverse(X),X)),multiply(Y,inverse(multiply(multiply(Z1,inverse(Z1),Z),inverse(multiply(X,inverse(X),X)),U1)),U1),multiply(Z1,inverse(Z1),Z)),
inference('PARAMODULATE',[status(thm)],[8,269,theory(equality)]) ).
cnf(615,plain,
multiply(multiply(multiply(X,inverse(multiply(multiply(Y,Z,U),V,multiply(Y,Z,W))),X1),inverse(multiply(Y1,inverse(Y1),Z1)),Z1),multiply(Y1,inverse(multiply(X,inverse(multiply(multiply(Y,Z,U),V,multiply(Y,Z,W))),X1)),Y1),inverse(Y1)) = multiply(inverse(multiply(multiply(Y,Z,U),V,multiply(Y,Z,W))),multiply(X1,inverse(multiply(multiply(X,inverse(multiply(U1,inverse(U1),V1)),V1),multiply(U1,inverse(X),U1),inverse(U1))),multiply(Z,multiply(W,V,U),Y)),X),
inference('PARAMODULATE',[status(thm)],[251,57,theory(equality)]) ).
cnf(618,plain,
multiply(multiply(multiply(multiply(X,Y,Z),inverse(multiply(multiply(U,V,W),X1,multiply(U,V,Y1))),multiply(V,multiply(Y1,X1,W),U)),inverse(multiply(Z1,inverse(Z1),U1)),U1),multiply(Z1,inverse(multiply(multiply(X,Y,Z),inverse(multiply(multiply(U,V,W),X1,multiply(U,V,Y1))),multiply(V,multiply(Y1,X1,W),U))),Z1),inverse(Z1)) = multiply(multiply(Z,inverse(multiply(X,Y,V1)),V1),multiply(X,inverse(multiply(Y,multiply(Z,inverse(multiply(X,Y,V1)),V1),W1)),W1),Y),
inference('PARAMODULATE',[status(thm)],[251,3,theory(equality)]) ).
cnf(946,plain,
multiply(multiply(X,Y,Z),inverse(multiply(multiply(multiply(U,inverse(U),V),inverse(multiply(multiply(W,X1,Y1),multiply(Z1,inverse(multiply(Y1,U1,V1)),V1),multiply(W,X1,U1))),W1),X2,V)),multiply(inverse(multiply(multiply(W,X1,Y1),multiply(Z1,inverse(multiply(Y1,U1,V1)),V1),multiply(W,X1,U1))),multiply(multiply(X1,multiply(U1,multiply(Z1,inverse(multiply(Y1,U1,Y2)),Y2),Y1),W),X2,W1),multiply(U,inverse(U),V))) = multiply(Y,multiply(Z,inverse(multiply(X,Y,Z2)),Z2),X),
inference('PARAMODULATE',[status(thm)],[3,51,theory(equality)]) ).
cnf(957,plain,
multiply(X,inverse(multiply(multiply(multiply(Y,inverse(Y),Z),inverse(multiply(multiply(U,V,W),multiply(X1,inverse(multiply(W,Y1,Z1)),Z1),multiply(U,V,Y1))),U1),V1,Z)),multiply(inverse(multiply(multiply(U,V,W),multiply(X1,inverse(multiply(W,Y1,Z1)),Z1),multiply(U,V,Y1))),multiply(multiply(V,multiply(Y1,multiply(X1,inverse(multiply(W,Y1,W1)),W1),W),U),V1,U1),multiply(Y,inverse(Y),Z))) = multiply(multiply(X,inverse(multiply(X2,inverse(X2),Y2)),Y2),multiply(X2,inverse(X),X2),inverse(X2)),
inference('PARAMODULATE',[status(thm)],[57,51,theory(equality)]) ).
cnf(1071,plain,
multiply(X,inverse(multiply(multiply(Y,multiply(multiply(Z,U,V),inverse(multiply(multiply(Z,U,W),Y,X1)),X1),multiply(Z,U,W)),inverse(multiply(Y,multiply(multiply(Z,U,V),inverse(multiply(multiply(Z,U,W),Y,X1)),X1),multiply(Z,U,W))),multiply(multiply(multiply(Z,U,W),Y,multiply(Z,U,V)),inverse(multiply(multiply(Z,U,W),Y,multiply(Z,U,V))),Y1))),Y1) = multiply(multiply(X,inverse(multiply(Z1,inverse(Z1),U1)),U1),multiply(Z1,inverse(X),Z1),inverse(Z1)),
inference('PARAMODULATE',[status(thm)],[187,3,theory(equality)]) ).
cnf(1199,plain,
multiply(multiply(multiply(multiply(multiply(X,Y,Z),U,multiply(X,Y,V)),inverse(multiply(multiply(W,X1,Y1),Z1,multiply(W,X1,U1))),multiply(X1,multiply(U1,Z1,Y1),W)),inverse(multiply(V1,inverse(V1),W1)),W1),multiply(V1,inverse(multiply(multiply(multiply(X,Y,Z),U,multiply(X,Y,V)),inverse(multiply(multiply(W,X1,Y1),Z1,multiply(W,X1,U1))),multiply(X1,multiply(U1,Z1,Y1),W))),V1),inverse(V1)) = multiply(Y,multiply(V,U,Z),X),
inference('PARAMODULATE',[status(thm)],[250,253,theory(equality)]) ).
cnf(1244,plain,
multiply(X,inverse(multiply(Y,Z,multiply(multiply(U,inverse(U),Y),inverse(multiply(multiply(V,W,X1),multiply(Y1,inverse(multiply(X1,Z1,U1)),U1),multiply(V,W,Z1))),V1))),multiply(inverse(multiply(multiply(V,W,X1),multiply(Y1,inverse(multiply(X1,Z1,U1)),U1),multiply(V,W,Z1))),multiply(V1,Z,multiply(W,multiply(Z1,multiply(Y1,inverse(multiply(X1,Z1,W1)),W1),X1),V)),multiply(U,inverse(U),Y))) = multiply(X,inverse(multiply(multiply(X2,Y2,Z2),U2,multiply(X2,Y2,V2))),multiply(Y2,multiply(V2,U2,Z2),X2)),
inference('PARAMODULATE',[status(thm)],[253,51,theory(equality)]) ).
cnf(1383,plain,
multiply(inverse(multiply(X,inverse(X),X)),multiply(Y,inverse(X),multiply(X,inverse(multiply(Z,U,multiply(multiply(V,inverse(V),Z),inverse(multiply(multiply(W,X1,Y1),multiply(Z1,inverse(multiply(Y1,U1,V1)),V1),multiply(W,X1,U1))),W1))),multiply(inverse(multiply(multiply(W,X1,Y1),multiply(Z1,inverse(multiply(Y1,U1,V1)),V1),multiply(W,X1,U1))),multiply(W1,U,multiply(X1,multiply(U1,multiply(Z1,inverse(multiply(Y1,U1,X2)),X2),Y1),W)),multiply(V,inverse(V),Z)))),multiply(X,inverse(X),X)) = Y,
inference('PARAMODULATE',[status(thm)],[400,51,theory(equality)]) ).
cnf(1480,plain,
multiply(multiply(X,inverse(X),Y),inverse(multiply(Z,inverse(Z),multiply(U,inverse(U),V))),multiply(inverse(Z),V,Z)) = Y,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[4,38,theory(equality)]),7,theory(equality)]) ).
cnf(1717,plain,
X = multiply(inverse(Y),X,Y),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1480,1480,theory(equality)]),1480,theory(equality)]) ).
cnf(1752,plain,
multiply(X,inverse(multiply(Y,Z,U)),multiply(Z,multiply(U,inverse(multiply(Y,Z,V)),V),Y)) = X,
inference('REWRITE',[status(thm)],[145,1717,theory(equality)]) ).
cnf(1779,plain,
multiply(X,inverse(multiply(Y,inverse(Y),Z)),Z) = X,
inference('REWRITE',[status(thm)],[72,1717,theory(equality)]) ).
cnf(1848,plain,
multiply(multiply(multiply(multiply(X,Y,Z),U,multiply(X,Y,V)),inverse(multiply(multiply(W,X1,Y1),Z1,multiply(W,X1,U1))),multiply(X1,multiply(U1,Z1,Y1),W)),multiply(V1,inverse(multiply(multiply(multiply(X,Y,Z),U,multiply(X,Y,V)),inverse(multiply(multiply(W,X1,Y1),Z1,multiply(W,X1,U1))),multiply(X1,multiply(U1,Z1,Y1),W))),V1),inverse(V1)) = multiply(Y,multiply(V,U,Z),X),
inference('REWRITE',[status(thm)],[1199,1779,theory(equality)]) ).
cnf(1905,plain,
multiply(multiply(multiply(X,Y,Z),inverse(multiply(multiply(U,V,W),X1,multiply(U,V,Y1))),multiply(V,multiply(Y1,X1,W),U)),multiply(Z1,inverse(multiply(multiply(X,Y,Z),inverse(multiply(multiply(U,V,W),X1,multiply(U,V,Y1))),multiply(V,multiply(Y1,X1,W),U))),Z1),inverse(Z1)) = multiply(multiply(Z,inverse(multiply(X,Y,U1)),U1),multiply(X,inverse(multiply(Y,multiply(Z,inverse(multiply(X,Y,U1)),U1),V1)),V1),Y),
inference('REWRITE',[status(thm)],[618,1779,theory(equality)]) ).
cnf(2059,plain,
multiply(multiply(X,inverse(X),Y),inverse(multiply(multiply(Z,inverse(multiply(multiply(U,V,W),X1,multiply(U,V,Y1))),multiply(V,multiply(Y1,X1,W),U)),inverse(multiply(Z,inverse(multiply(multiply(U,V,W),X1,multiply(U,V,Y1))),multiply(V,multiply(Y1,X1,W),U))),multiply(Z,multiply(Z1,inverse(Z),Z1),U1))),multiply(multiply(Z1,inverse(Z),Z1),multiply(U1,inverse(multiply(Z,multiply(Z1,inverse(Z),Z1),V1)),V1),Z)) = Y,
inference('REWRITE',[status(thm)],[362,1779,theory(equality)]) ).
cnf(2102,plain,
multiply(multiply(X,inverse(multiply(multiply(Y,Z,U),V,multiply(Y,Z,W))),X1),multiply(Y1,inverse(multiply(X,inverse(multiply(multiply(Y,Z,U),V,multiply(Y,Z,W))),X1)),Y1),inverse(Y1)) = multiply(inverse(multiply(multiply(Y,Z,U),V,multiply(Y,Z,W))),multiply(X1,inverse(multiply(X,multiply(Z1,inverse(X),Z1),inverse(Z1))),multiply(Z,multiply(W,V,U),Y)),X),
inference('REWRITE',[status(thm)],[615,1779,theory(equality)]) ).
cnf(2195,plain,
multiply(X,inverse(multiply(multiply(multiply(Y,inverse(Y),Z),inverse(multiply(multiply(U,V,W),multiply(X1,inverse(multiply(W,Y1,Z1)),Z1),multiply(U,V,Y1))),U1),V1,Z)),multiply(inverse(multiply(multiply(U,V,W),multiply(X1,inverse(multiply(W,Y1,Z1)),Z1),multiply(U,V,Y1))),multiply(multiply(V,multiply(Y1,multiply(X1,inverse(multiply(W,Y1,W1)),W1),W),U),V1,U1),multiply(Y,inverse(Y),Z))) = multiply(X,multiply(X2,inverse(X),X2),inverse(X2)),
inference('REWRITE',[status(thm)],[957,1779,theory(equality)]) ).
cnf(2215,plain,
multiply(X,inverse(multiply(multiply(Y,Z,multiply(U,multiply(V,W,X1),Y1)),inverse(multiply(multiply(Y1,U,X1),W,multiply(Y1,U,V))),multiply(Y,Z,multiply(Z1,inverse(Z1),U1)))),multiply(Z,U1,Y)) = multiply(X,multiply(V1,inverse(X),V1),inverse(V1)),
inference('REWRITE',[status(thm)],[262,1779,theory(equality)]) ).
cnf(2272,plain,
multiply(X,inverse(multiply(multiply(Y,multiply(multiply(Z,U,V),inverse(multiply(multiply(Z,U,W),Y,X1)),X1),multiply(Z,U,W)),inverse(multiply(Y,multiply(multiply(Z,U,V),inverse(multiply(multiply(Z,U,W),Y,X1)),X1),multiply(Z,U,W))),multiply(multiply(multiply(Z,U,W),Y,multiply(Z,U,V)),inverse(multiply(multiply(Z,U,W),Y,multiply(Z,U,V))),Y1))),Y1) = multiply(X,multiply(Z1,inverse(X),Z1),inverse(Z1)),
inference('REWRITE',[status(thm)],[1071,1779,theory(equality)]) ).
cnf(2290,plain,
multiply(inverse(multiply(multiply(X,Y,Z),U,multiply(X,Y,V))),multiply(W,inverse(multiply(X1,multiply(Y1,inverse(X1),Y1),inverse(Y1))),multiply(Y,multiply(V,U,Z),X)),X1) = multiply(inverse(multiply(multiply(X,Y,Z),U,multiply(X,Y,V))),multiply(W,inverse(multiply(X1,inverse(multiply(multiply(X,Y,Z),U,multiply(X,Y,V))),Z1)),Z1),X1),
inference('REWRITE',[status(thm)],[309,1779,theory(equality)]) ).
cnf(2394,plain,
multiply(X,multiply(Y,inverse(X),Z),inverse(Z)) = multiply(X,multiply(Y,inverse(multiply(inverse(Z),X,U)),U),inverse(Z)),
inference('REWRITE',[status(thm)],[56,1779,theory(equality)]) ).
cnf(2519,plain,
multiply(X,inverse(Y),multiply(Y,inverse(multiply(Z,U,multiply(multiply(V,inverse(V),Z),inverse(multiply(multiply(W,X1,Y1),multiply(Z1,inverse(multiply(Y1,U1,V1)),V1),multiply(W,X1,U1))),W1))),multiply(inverse(multiply(multiply(W,X1,Y1),multiply(Z1,inverse(multiply(Y1,U1,V1)),V1),multiply(W,X1,U1))),multiply(W1,U,multiply(X1,multiply(U1,multiply(Z1,inverse(multiply(Y1,U1,X2)),X2),Y1),W)),multiply(V,inverse(V),Z)))) = X,
inference('REWRITE',[status(thm)],[1383,1717,theory(equality)]) ).
cnf(2644,plain,
multiply(multiply(inverse(X),inverse(X),multiply(Y,inverse(Y),Z)),inverse(multiply(multiply(U,V,W),X1,multiply(U,V,Y1))),multiply(V,multiply(Y1,X1,W),U)) = multiply(inverse(X),Z,inverse(X)),
inference('REWRITE',[status(thm)],[120,1779,1717,theory(equality)]) ).
cnf(2700,plain,
multiply(multiply(X,inverse(X),Y),inverse(multiply(inverse(Z),inverse(inverse(Z)),inverse(Z))),inverse(multiply(multiply(U,inverse(U),V),inverse(multiply(U,inverse(U),V)),multiply(U,inverse(U),Z)))) = Y,
inference('PARAMODULATE',[status(thm)],[399,1717,theory(equality)]) ).
cnf(2707,plain,
multiply(X,inverse(multiply(multiply(Y,Z,U),V,multiply(Y,Z,W))),multiply(Z,multiply(W,V,U),Y)) = multiply(X,inverse(multiply(multiply(X1,inverse(X1),Y1),Z1,multiply(X1,inverse(X1),U1))),multiply(U1,Z1,Y1)),
inference('PARAMODULATE',[status(thm)],[253,1717,theory(equality)]) ).
cnf(2711,plain,
multiply(inverse(inverse(X)),inverse(multiply(multiply(Y,Z,multiply(U,multiply(V,W,X1),Y1)),inverse(multiply(multiply(Y1,U,X1),W,multiply(Y1,U,V))),multiply(Y,Z,multiply(Z1,inverse(Z1),U1)))),multiply(Z,U1,Y)) = X,
inference('PARAMODULATE',[status(thm)],[4,1717,theory(equality)]) ).
cnf(2715,plain,
inverse(multiply(X,inverse(X),Y)) = inverse(Y),
inference('PARAMODULATE',[status(thm)],[1717,1779,theory(equality)]) ).
cnf(2716,plain,
multiply(X,inverse(Y),Y) = multiply(X,multiply(Z,inverse(X),Z),inverse(Z)),
inference('REWRITE',[status(thm)],[2272,2715,theory(equality)]) ).
cnf(2717,plain,
multiply(X,inverse(X),Y) = Y,
inference('REWRITE',[status(thm)],[2059,1752,2715,theory(equality)]) ).
cnf(2738,plain,
multiply(X,inverse(multiply(Y,Z,multiply(Y,inverse(multiply(multiply(U,V,W),multiply(X1,inverse(multiply(W,Y1,Z1)),Z1),multiply(U,V,Y1))),U1))),multiply(inverse(multiply(multiply(U,V,W),multiply(X1,inverse(multiply(W,Y1,Z1)),Z1),multiply(U,V,Y1))),multiply(U1,Z,multiply(V,multiply(Y1,multiply(X1,inverse(multiply(W,Y1,V1)),V1),W),U)),Y)) = multiply(X,inverse(multiply(multiply(W1,X2,Y2),Z2,multiply(W1,X2,U2))),multiply(X2,multiply(U2,Z2,Y2),W1)),
inference('REWRITE',[status(thm)],[1244,2717,theory(equality)]) ).
cnf(2751,plain,
multiply(X,inverse(multiply(multiply(Y,Z,multiply(U,multiply(V,W,X1),Y1)),inverse(multiply(multiply(Y1,U,X1),W,multiply(Y1,U,V))),multiply(Y,Z,Z1))),multiply(Z,Z1,Y)) = multiply(X,multiply(U1,inverse(X),U1),inverse(U1)),
inference('REWRITE',[status(thm)],[2215,2717,theory(equality)]) ).
cnf(2753,plain,
multiply(inverse(inverse(X)),inverse(multiply(multiply(Y,Z,multiply(U,multiply(V,W,X1),Y1)),inverse(multiply(multiply(Y1,U,X1),W,multiply(Y1,U,V))),multiply(Y,Z,Z1))),multiply(Z,Z1,Y)) = X,
inference('REWRITE',[status(thm)],[2711,2717,theory(equality)]) ).
cnf(2757,plain,
multiply(inverse(multiply(multiply(X,Y,Z),U,multiply(X,Y,V))),multiply(W,inverse(X1),multiply(Y,multiply(V,U,Z),X)),X1) = multiply(inverse(multiply(multiply(X,Y,Z),U,multiply(X,Y,V))),multiply(W,inverse(multiply(X1,inverse(multiply(multiply(X,Y,Z),U,multiply(X,Y,V))),Y1)),Y1),X1),
inference('REWRITE',[status(thm)],[66,2717,theory(equality)]) ).
cnf(2760,plain,
multiply(inverse(multiply(multiply(X,Y,Z),U,multiply(X,Y,V))),multiply(W,inverse(multiply(X1,multiply(Y1,inverse(X1),Y1),inverse(Y1))),multiply(Y,multiply(V,U,Z),X)),X1) = multiply(inverse(multiply(multiply(X,Y,Z),U,multiply(X,Y,V))),multiply(W,inverse(X1),multiply(Y,multiply(V,U,Z),X)),X1),
inference('REWRITE',[status(thm)],[2290,2757,theory(equality)]) ).
cnf(2762,plain,
multiply(multiply(X,inverse(multiply(multiply(Y,Z,U),V,multiply(Y,Z,W))),X1),multiply(Y1,inverse(multiply(X,inverse(multiply(multiply(Y,Z,U),V,multiply(Y,Z,W))),X1)),Y1),inverse(Y1)) = multiply(inverse(multiply(multiply(Y,Z,U),V,multiply(Y,Z,W))),multiply(X1,inverse(X),multiply(Z,multiply(W,V,U),Y)),X),
inference('REWRITE',[status(thm)],[2102,2760,theory(equality)]) ).
cnf(2764,plain,
multiply(inverse(multiply(multiply(X,Y,Z),U,multiply(X,Y,V))),multiply(multiply(Y,multiply(V,U,Z),X),inverse(multiply(W,X1,Y1)),multiply(Y,multiply(V,U,Z),X)),multiply(W,X1,Y1)) = multiply(multiply(Y1,inverse(multiply(W,X1,Z1)),Z1),multiply(W,inverse(multiply(X1,multiply(Y1,inverse(multiply(W,X1,Z1)),Z1),U1)),U1),X1),
inference('REWRITE',[status(thm)],[1905,2762,theory(equality)]) ).
cnf(2766,plain,
multiply(inverse(multiply(multiply(X,Y,Z),U,multiply(X,Y,V))),multiply(multiply(Y,multiply(V,U,Z),X),inverse(multiply(multiply(W,X1,Y1),Z1,multiply(W,X1,U1))),multiply(Y,multiply(V,U,Z),X)),multiply(multiply(W,X1,Y1),Z1,multiply(W,X1,U1))) = multiply(X1,multiply(U1,Z1,Y1),W),
inference('REWRITE',[status(thm)],[1848,2762,theory(equality)]) ).
cnf(2772,plain,
multiply(X,inverse(multiply(multiply(Y,Z,U),V,multiply(Y,Z,W))),multiply(Z,multiply(W,V,U),Y)) = multiply(X,inverse(multiply(X1,Y1,Z1)),multiply(Z1,Y1,X1)),
inference('REWRITE',[status(thm)],[2707,2717,theory(equality)]) ).
cnf(2775,plain,
multiply(X,inverse(multiply(multiply(Y,inverse(multiply(multiply(Z,U,V),multiply(W,inverse(multiply(V,X1,Y1)),Y1),multiply(Z,U,X1))),Z1),U1,Y)),multiply(inverse(multiply(multiply(Z,U,V),multiply(W,inverse(multiply(V,X1,Y1)),Y1),multiply(Z,U,X1))),multiply(multiply(U,multiply(X1,multiply(W,inverse(multiply(V,X1,V1)),V1),V),Z),U1,Z1),Y)) = multiply(X,multiply(W1,inverse(X),W1),inverse(W1)),
inference('REWRITE',[status(thm)],[2195,2717,theory(equality)]) ).
cnf(2779,plain,
multiply(multiply(inverse(X),inverse(X),Y),inverse(multiply(multiply(Z,U,V),W,multiply(Z,U,X1))),multiply(U,multiply(X1,W,V),Z)) = multiply(inverse(X),Y,inverse(X)),
inference('REWRITE',[status(thm)],[2644,2717,theory(equality)]) ).
cnf(2781,plain,
multiply(multiply(X,Y,Z),inverse(multiply(multiply(U,inverse(multiply(multiply(V,W,X1),multiply(Y1,inverse(multiply(X1,Z1,U1)),U1),multiply(V,W,Z1))),V1),W1,U)),multiply(inverse(multiply(multiply(V,W,X1),multiply(Y1,inverse(multiply(X1,Z1,U1)),U1),multiply(V,W,Z1))),multiply(multiply(W,multiply(Z1,multiply(Y1,inverse(multiply(X1,Z1,X2)),X2),X1),V),W1,V1),U)) = multiply(Y,multiply(Z,inverse(multiply(X,Y,Y2)),Y2),X),
inference('REWRITE',[status(thm)],[946,2717,theory(equality)]) ).
cnf(2798,plain,
multiply(X,inverse(Y),multiply(Y,inverse(multiply(Z,U,multiply(Z,inverse(multiply(multiply(V,W,X1),multiply(Y1,inverse(multiply(X1,Z1,U1)),U1),multiply(V,W,Z1))),V1))),multiply(inverse(multiply(multiply(V,W,X1),multiply(Y1,inverse(multiply(X1,Z1,U1)),U1),multiply(V,W,Z1))),multiply(V1,U,multiply(W,multiply(Z1,multiply(Y1,inverse(multiply(X1,Z1,W1)),W1),X1),V)),Z))) = X,
inference('REWRITE',[status(thm)],[2519,2717,theory(equality)]) ).
cnf(2804,plain,
multiply(X,inverse(multiply(multiply(Y,Z,U),V,multiply(Y,Z,W))),multiply(Z,multiply(W,V,U),Y)) = X,
inference('REWRITE',[status(thm)],[single_axiom,2717,theory(equality)]) ).
cnf(2805,plain,
multiply(inverse(X),inverse(X),Y) = multiply(inverse(X),Y,inverse(X)),
inference('REWRITE',[status(thm)],[2779,2804,theory(equality)]) ).
cnf(2806,plain,
multiply(X,inverse(multiply(Y,Z,multiply(Y,inverse(multiply(multiply(U,V,W),multiply(X1,inverse(multiply(W,Y1,Z1)),Z1),multiply(U,V,Y1))),U1))),multiply(inverse(multiply(multiply(U,V,W),multiply(X1,inverse(multiply(W,Y1,Z1)),Z1),multiply(U,V,Y1))),multiply(U1,Z,multiply(V,multiply(Y1,multiply(X1,inverse(multiply(W,Y1,V1)),V1),W),U)),Y)) = X,
inference('REWRITE',[status(thm)],[2738,2804,theory(equality)]) ).
cnf(2807,plain,
multiply(X,inverse(Y),Y) = X,
inference('REWRITE',[status(thm)],[2798,2806,theory(equality)]) ).
cnf(2808,plain,
X = multiply(X,multiply(Y,inverse(X),Y),inverse(Y)),
inference('REWRITE',[status(thm)],[2716,2807,theory(equality)]) ).
cnf(2809,plain,
multiply(X,inverse(multiply(multiply(Y,inverse(multiply(multiply(Z,U,V),multiply(W,inverse(multiply(V,X1,Y1)),Y1),multiply(Z,U,X1))),Z1),U1,Y)),multiply(inverse(multiply(multiply(Z,U,V),multiply(W,inverse(multiply(V,X1,Y1)),Y1),multiply(Z,U,X1))),multiply(multiply(U,multiply(X1,multiply(W,inverse(multiply(V,X1,V1)),V1),V),Z),U1,Z1),Y)) = X,
inference('REWRITE',[status(thm)],[2775,2808,theory(equality)]) ).
cnf(2810,plain,
multiply(X,Y,Z) = multiply(Y,multiply(Z,inverse(multiply(X,Y,U)),U),X),
inference('REWRITE',[status(thm)],[2781,2809,theory(equality)]) ).
cnf(2812,plain,
multiply(inverse(multiply(multiply(X,Y,Z),U,multiply(X,Y,V))),multiply(multiply(Y,multiply(V,U,Z),X),inverse(multiply(W,X1,Y1)),multiply(Y,multiply(V,U,Z),X)),multiply(W,X1,Y1)) = multiply(W,X1,Y1),
inference('REWRITE',[status(thm)],[2764,2810,theory(equality)]) ).
cnf(2813,plain,
multiply(multiply(X,Y,Z),U,multiply(X,Y,V)) = multiply(Y,multiply(V,U,Z),X),
inference('REWRITE',[status(thm)],[2766,2812,theory(equality)]) ).
cnf(2814,plain,
( multiply(e,multiply(c,b,a),d) != multiply(d,e,multiply(a,b,c))
| multiply(b,a,a) != a
| multiply(a,b,inverse(b)) != a
| multiply(a,a,b) != a
| multiply(inverse(b),b,a) != a ),
inference('REWRITE',[status(thm)],[prove_tba_axioms,2813,theory(equality)]) ).
cnf(2828,plain,
multiply(X,multiply(Y,inverse(X),Z),inverse(Z)) = multiply(inverse(Z),X,Y),
inference('REWRITE',[status(thm)],[2394,2810,theory(equality)]) ).
cnf(2862,plain,
multiply(X,inverse(multiply(multiply(Y,Z,multiply(U,multiply(V,W,X1),Y1)),inverse(multiply(multiply(Y1,U,X1),W,multiply(Y1,U,V))),multiply(Y,Z,Z1))),multiply(Z,Z1,Y)) = X,
inference('REWRITE',[status(thm)],[2751,2808,theory(equality)]) ).
cnf(2863,plain,
inverse(inverse(X)) = X,
inference('REWRITE',[status(thm)],[2753,2862,theory(equality)]) ).
cnf(2895,plain,
X = multiply(X,inverse(multiply(Y,Z,U)),multiply(U,Z,Y)),
inference('REWRITE',[status(thm)],[2772,2804,theory(equality)]) ).
cnf(3025,plain,
multiply(inverse(X),multiply(Y,inverse(Z),X),Z) = multiply(Z,inverse(X),Y),
inference('REWRITE',[status(thm)],[445,2813,2717,2804,2715,theory(equality)]) ).
cnf(3036,plain,
multiply(X,inverse(multiply(inverse(Y),Y,inverse(Y))),inverse(Y)) = X,
inference('REWRITE',[status(thm)],[2700,2863,2717,2715,theory(equality)]) ).
cnf(3039,plain,
multiply(inverse(X),X,Y) = Y,
inference('PARAMODULATE',[status(thm)],[2717,2863,theory(equality)]) ).
cnf(3040,plain,
multiply(X,Y,inverse(Y)) = X,
inference('REWRITE',[status(thm)],[3036,2863,3039,theory(equality)]) ).
cnf(3046,plain,
( multiply(e,multiply(c,b,a),d) != multiply(d,e,multiply(a,b,c))
| multiply(b,a,a) != a
| multiply(a,a,b) != a ),
inference('REWRITE',[status(thm)],[2814,3040,3039,theory(equality)]) ).
cnf(3047,plain,
X = multiply(Y,X,inverse(Y)),
inference('PARAMODULATE',[status(thm)],[1717,2863,theory(equality)]) ).
cnf(3056,plain,
multiply(X,X,Y) = multiply(X,Y,X),
inference('PARAMODULATE',[status(thm)],[2805,2863,theory(equality)]) ).
cnf(3068,plain,
X = multiply(inverse(Y),X,X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2828,2717,theory(equality)]),3040,theory(equality)]) ).
cnf(3074,plain,
X = multiply(X,Y,X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2828,3047,theory(equality)]),2717,2863,theory(equality)]) ).
cnf(3091,plain,
multiply(X,X,Y) = X,
inference('REWRITE',[status(thm)],[3056,3074,theory(equality)]) ).
cnf(3095,plain,
( multiply(e,multiply(c,b,a),d) != multiply(d,e,multiply(a,b,c))
| multiply(b,a,a) != a ),
inference('REWRITE',[status(thm)],[3046,3091,theory(equality)]) ).
cnf(3100,plain,
X = multiply(Y,X,X),
inference('PARAMODULATE',[status(thm)],[3068,2863,theory(equality)]) ).
cnf(3101,plain,
multiply(e,multiply(c,b,a),d) != multiply(d,e,multiply(a,b,c)),
inference('REWRITE',[status(thm)],[3095,3100,theory(equality)]) ).
cnf(3105,plain,
multiply(X,Y,Z) = multiply(Z,Y,X),
inference('PARAMODULATE',[status(thm)],[2717,2895,theory(equality)]) ).
cnf(3115,plain,
multiply(e,multiply(c,b,a),d) != multiply(d,e,multiply(c,b,a)),
inference('PARAMODULATE',[status(thm)],[3101,3105,theory(equality)]) ).
cnf(3120,plain,
multiply(X,inverse(Y),Z) = multiply(inverse(Y),X,Z),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2828,3105,theory(equality)]),3025,theory(equality)]) ).
cnf(3133,plain,
multiply(X,Y,Z) = multiply(Y,X,Z),
inference('PARAMODULATE',[status(thm)],[3120,2863,theory(equality)]) ).
cnf(3134,plain,
multiply(X,Y,Z) = multiply(Z,X,Y),
inference('PARAMODULATE',[status(thm)],[3105,3133,theory(equality)]) ).
cnf(3135,plain,
$false,
inference('REWRITE',[status(thm)],[3115,3134,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : BOO035-1 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n017.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 1 16:51:12 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.46 #<PACKAGE "SNARK-USER">
% 0.20/0.46 *
% 0.20/0.46 SNARK-TPTP-OPTIONS
% 0.20/0.46 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-01T16:51:12
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-06-01T16:51:12
% 4.28/4.45
% 4.28/4.45
% 4.28/4.45 #||
% 4.28/4.45 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.28/4.45 % SZS output start Refutation
% See solution above
% 4.28/4.48 ||#
% 4.28/4.48
% 4.28/4.48 ; Summary of computation:
% 4.28/4.48 ; 6328 formulas have been input or derived (from 52 formulas).
% 4.28/4.48 ; 3135 (50%) were retained. Of these,
% 4.28/4.48 ; 2962 (94%) were simplified or subsumed later,
% 4.28/4.48 ; 173 ( 6%) are still being kept.
% 4.28/4.48 ;
% 4.28/4.48 ; Run time in seconds excluding printing time:
% 4.28/4.48 ; 0.001 0% Read assertion file (1 call)
% 4.28/4.48 ; 0.000 0% Assert (2 calls)
% 4.28/4.48 ; 1.016 26% Process new row (6,234 calls)
% 4.28/4.48 ; 0.009 0% Resolution (102 calls)
% 4.28/4.48 ; 0.315 8% Paramodulation (51 calls)
% 4.28/4.48 ; 0.000 0% Condensing (6 calls)
% 4.28/4.48 ; 0.000 0% Forward subsumption (6 calls)
% 4.28/4.48 ; 0.000 0% Backward subsumption (5 calls)
% 4.28/4.48 ; 0.000 0% Clause clause subsumption (3 calls)
% 4.28/4.48 ; 1.449 36% Forward simplification (5,932 calls)
% 4.28/4.48 ; 1.008 25% Backward simplification (3,135 calls)
% 4.28/4.48 ; 0.134 3% Ordering (16,862 calls)
% 4.28/4.48 ; 0.000 0% Sortal reasoning (32 calls)
% 4.28/4.48 ; 0.000 0% Purity testing (1 call)
% 4.28/4.48 ; 0.049 1% Other
% 4.28/4.48 ; 3.981 Total
% 4.28/4.48 ; 4.011 Real time
% 4.28/4.48 ;
% 4.28/4.48 ; Term-hash-array has 17,292 terms in all.
% 4.28/4.48 ; Feature-vector-row-index has 0 entries (2 at peak, 5 added, 5 deleted).
% 4.28/4.48 ; Feature-vector-row-index has 1 node (24 at peak, 87 added, 86 deleted).
% 4.28/4.48 ; Retrieved 2 possibly forward subsuming rows in 6 calls.
% 4.28/4.48 ; Retrieved 1 possibly backward subsumed row in 5 calls.
% 4.28/4.48 ; Path-index has 1,238 entries (10,947 at peak, 18,875 added, 17,637 deleted).
% 4.28/4.48 ; Path-index has 20,042 nodes (29,614 at peak, 34,475 added, 14,433 deleted).
% 4.28/4.48 ; Trie-index has 1,238 entries (10,947 at peak, 18,875 added, 17,637 deleted).
% 4.28/4.48 ; Trie-index has 11,098 nodes (176,551 at peak, 263,823 added, 252,725 deleted).
% 4.28/4.48 ; Retrieved 47,110 generalization terms in 102,726 calls.
% 4.28/4.48 ; Retrieved 16,280 instance terms in 3,149 calls.
% 4.28/4.48 ; Retrieved 61,671 unifiable terms in 556 calls.
% 4.28/4.48 ;
% 4.28/4.48 ; The agenda of rows to process has 40 entries:
% 4.28/4.48 ; 6 with value 21 6 with value 27 4 with value 29
% 4.28/4.48 ; 4 with value 24 8 with value 28 12 with value 37
% 4.28/4.48 ; The agenda of rows to give has 155 entries:
% 4.28/4.48 ; 1 with value (4 21) 2 with value (4 43) 1 with value (4 66)
% 4.28/4.48 ; 1 with value (4 23) 2 with value (4 44) 3 with value (4 67)
% 4.28/4.48 ; 3 with value (4 24) 8 with value (4 45) 1 with value (4 69)
% 4.28/4.48 ; 8 with value (4 25) 2 with value (4 46) 3 with value (4 70)
% 4.28/4.48 ; 4 with value (4 26) 3 with value (4 47) 4 with value (4 71)
% 4.28/4.48 ; 3 with value (4 27) 3 with value (4 48) 2 with value (4 72)
% 4.28/4.48 ; 2 with value (4 29) 1 with value (4 49) 1 with value (4 73)
% 4.28/4.48 ; 4 with value (4 30) 2 with value (4 50) 3 with value (4 74)
% 4.28/4.48 ; 2 with value (4 31) 3 with value (4 51) 1 with value (4 75)
% 4.28/4.48 ; 10 with value (4 32) 1 with value (4 52) 1 with value (4 76)
% 4.28/4.48 ; 5 with value (4 33) 1 with value (4 53) 1 with value (4 77)
% 4.28/4.48 ; 2 with value (4 34) 5 with value (4 55) 1 with value (4 80)
% 4.28/4.48 ; 6 with value (4 35) 1 with value (4 56) 1 with value (4 81)
% 4.28/4.48 ; 1 with value (4 36) 4 with value (4 57) 3 with value (4 86)
% 4.28/4.48 ; 1 with value (4 37) 3 with value (4 59) 4 with value (4 88)
% 4.28/4.48 ; 5 with value (4 38) 2 with value (4 60) 1 with value (4 90)
% 4.28/4.48 ; 3 with value (4 39) 1 with value (4 61) 1 with value (4 96)
% 4.28/4.48 ; 3 with value (4 40) 4 with value (4 62) 2 with value (4 98)
% 4.28/4.48 ; 3 with value (4 41) 2 with value (4 64) 2 with value (4 101)
% 4.28/4.48 ; 1 with value (4 42) 1 with value (4 65)
% 4.28/4.48 Evaluation took:
% 4.28/4.48 4.012 seconds of real time
% 4.28/4.48 3.741893 seconds of user run time
% 4.28/4.48 0.270144 seconds of system run time
% 4.28/4.48 [Run times include 0.832 seconds GC run time.]
% 4.28/4.48 0 calls to %EVAL
% 4.28/4.48 0 page faults and
% 4.28/4.48 278,714,704 bytes consed.
% 4.28/4.48 :PROOF-FOUND
% 4.28/4.48 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-01T16:51:16
% 4.28/4.48 :PROOF-FOUND
% 4.28/4.48 *
%------------------------------------------------------------------------------