TSTP Solution File: BOO007-2 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : BOO007-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:02:43 EDT 2023
% Result : Unsatisfiable 6.46s 1.19s
% Output : CNFRefutation 6.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 13
% Syntax : Number of formulae : 70 ( 70 unt; 0 def)
% Number of atoms : 70 ( 69 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 141 (; 141 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] : add(X,Y) = add(Y,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] : multiply(X,Y) = multiply(Y,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y,Z] : add(multiply(X,Y),Z) = multiply(add(X,Z),add(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y,Z] : add(X,multiply(Y,Z)) = multiply(add(X,Y),add(X,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y,Z] : multiply(add(X,Y),Z) = add(multiply(X,Z),multiply(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y,Z] : multiply(X,add(Y,Z)) = add(multiply(X,Y),multiply(X,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X] : add(X,inverse(X)) = multiplicative_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X] : multiply(X,inverse(X)) = additive_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X] : multiply(X,multiplicative_identity) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X] : multiply(multiplicative_identity,X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [X] : add(X,additive_identity) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [X] : add(additive_identity,X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
multiply(a,multiply(b,c)) != multiply(multiply(a,b),c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,plain,
! [X0,X1] : add(X0,X1) = add(X1,X0),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f17,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f18,plain,
! [X0,X1,X2] : add(multiply(X0,X1),X2) = multiply(add(X0,X2),add(X1,X2)),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f19,plain,
! [X0,X1,X2] : add(X0,multiply(X1,X2)) = multiply(add(X0,X1),add(X0,X2)),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f20,plain,
! [X0,X1,X2] : multiply(add(X0,X1),X2) = add(multiply(X0,X2),multiply(X1,X2)),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f21,plain,
! [X0,X1,X2] : multiply(X0,add(X1,X2)) = add(multiply(X0,X1),multiply(X0,X2)),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f22,plain,
! [X0] : add(X0,inverse(X0)) = multiplicative_identity,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f24,plain,
! [X0] : multiply(X0,inverse(X0)) = additive_identity,
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f26,plain,
! [X0] : multiply(X0,multiplicative_identity) = X0,
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f27,plain,
! [X0] : multiply(multiplicative_identity,X0) = X0,
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f28,plain,
! [X0] : add(X0,additive_identity) = X0,
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f29,plain,
! [X0] : add(additive_identity,X0) = X0,
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f30,plain,
multiply(a,multiply(b,c)) != multiply(multiply(a,b),c),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f33,plain,
multiply(a,multiply(b,c)) != multiply(c,multiply(a,b)),
inference(forward_demodulation,[status(thm)],[f17,f30]) ).
fof(f58,plain,
! [X0,X1,X2] : add(multiply(X0,X1),X2) = multiply(add(X1,X2),add(X0,X2)),
inference(paramodulation,[status(thm)],[f17,f18]) ).
fof(f59,plain,
! [X0,X1,X2] : add(multiply(X0,X1),X2) = add(multiply(X1,X0),X2),
inference(forward_demodulation,[status(thm)],[f18,f58]) ).
fof(f62,plain,
! [X0,X1] : add(multiply(additive_identity,X0),X1) = multiply(X1,add(X0,X1)),
inference(paramodulation,[status(thm)],[f29,f18]) ).
fof(f91,plain,
! [X0,X1] : add(X0,multiply(inverse(X0),X1)) = multiply(multiplicative_identity,add(X0,X1)),
inference(paramodulation,[status(thm)],[f22,f19]) ).
fof(f92,plain,
! [X0,X1] : add(X0,multiply(inverse(X0),X1)) = add(X0,X1),
inference(forward_demodulation,[status(thm)],[f27,f91]) ).
fof(f100,plain,
! [X0,X1] : add(X0,multiply(X1,inverse(X0))) = multiply(add(X0,X1),multiplicative_identity),
inference(paramodulation,[status(thm)],[f22,f19]) ).
fof(f101,plain,
! [X0,X1] : add(X0,multiply(X1,inverse(X0))) = add(X0,X1),
inference(forward_demodulation,[status(thm)],[f26,f100]) ).
fof(f119,plain,
! [X0] : add(X0,inverse(X0)) = add(X0,multiplicative_identity),
inference(paramodulation,[status(thm)],[f26,f92]) ).
fof(f120,plain,
! [X0] : multiplicative_identity = add(X0,multiplicative_identity),
inference(forward_demodulation,[status(thm)],[f22,f119]) ).
fof(f138,plain,
! [X0] : multiplicative_identity = add(multiplicative_identity,X0),
inference(paramodulation,[status(thm)],[f16,f120]) ).
fof(f174,plain,
! [X0] : add(X0,additive_identity) = add(X0,X0),
inference(paramodulation,[status(thm)],[f24,f101]) ).
fof(f175,plain,
! [X0] : X0 = add(X0,X0),
inference(forward_demodulation,[status(thm)],[f28,f174]) ).
fof(f199,plain,
! [X0,X1] : add(multiply(X0,X1),X1) = multiply(add(X0,X1),X1),
inference(paramodulation,[status(thm)],[f175,f18]) ).
fof(f200,plain,
! [X0,X1] : add(X0,multiply(X1,X0)) = multiply(add(X1,X0),X0),
inference(forward_demodulation,[status(thm)],[f16,f199]) ).
fof(f201,plain,
! [X0,X1] : add(X0,multiply(X1,X0)) = multiply(X0,add(X1,X0)),
inference(forward_demodulation,[status(thm)],[f17,f200]) ).
fof(f202,plain,
! [X0,X1] : add(X0,multiply(X1,X0)) = add(multiply(additive_identity,X1),X0),
inference(forward_demodulation,[status(thm)],[f62,f201]) ).
fof(f203,plain,
! [X0,X1] : add(multiply(X0,X1),X0) = multiply(X0,add(X1,X0)),
inference(paramodulation,[status(thm)],[f175,f18]) ).
fof(f204,plain,
! [X0,X1] : add(X0,multiply(X0,X1)) = multiply(X0,add(X1,X0)),
inference(forward_demodulation,[status(thm)],[f16,f203]) ).
fof(f205,plain,
! [X0,X1] : add(X0,multiply(X0,X1)) = add(multiply(additive_identity,X1),X0),
inference(forward_demodulation,[status(thm)],[f62,f204]) ).
fof(f210,plain,
! [X0,X1,X2] : multiply(add(X0,X1),X2) = add(multiply(X1,X2),multiply(X0,X2)),
inference(paramodulation,[status(thm)],[f16,f20]) ).
fof(f211,plain,
! [X0,X1,X2] : multiply(add(X0,X1),X2) = multiply(add(X1,X0),X2),
inference(forward_demodulation,[status(thm)],[f20,f210]) ).
fof(f216,plain,
! [X0,X1] : multiply(add(multiplicative_identity,X0),X1) = add(X1,multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f27,f20]) ).
fof(f217,plain,
! [X0,X1] : multiply(multiplicative_identity,X0) = add(X0,multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f138,f216]) ).
fof(f218,plain,
! [X0,X1] : X0 = add(X0,multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f27,f217]) ).
fof(f237,plain,
! [X0,X1,X2] : multiply(add(X0,X1),X2) = add(multiply(X0,X2),multiply(X2,X1)),
inference(paramodulation,[status(thm)],[f17,f20]) ).
fof(f255,plain,
! [X0,X1] : X0 = add(multiply(additive_identity,X1),X0),
inference(backward_demodulation,[status(thm)],[f218,f202]) ).
fof(f257,plain,
! [X0,X1] : add(X0,multiply(X0,X1)) = X0,
inference(backward_demodulation,[status(thm)],[f255,f205]) ).
fof(f281,plain,
! [X0,X1,X2] : add(multiply(X0,X1),multiply(X2,X1)) = multiply(add(X0,multiply(X2,X1)),X1),
inference(paramodulation,[status(thm)],[f218,f18]) ).
fof(f282,plain,
! [X0,X1,X2] : multiply(add(X0,X1),X2) = multiply(add(X0,multiply(X1,X2)),X2),
inference(forward_demodulation,[status(thm)],[f20,f281]) ).
fof(f283,plain,
! [X0,X1,X2] : multiply(add(X0,X1),X2) = multiply(X2,add(X0,multiply(X1,X2))),
inference(forward_demodulation,[status(thm)],[f17,f282]) ).
fof(f568,plain,
! [X0,X1] : multiply(X0,add(X1,inverse(X0))) = add(multiply(X0,X1),additive_identity),
inference(paramodulation,[status(thm)],[f24,f21]) ).
fof(f569,plain,
! [X0,X1] : multiply(X0,add(X1,inverse(X0))) = multiply(X0,X1),
inference(forward_demodulation,[status(thm)],[f28,f568]) ).
fof(f933,plain,
! [X0,X1,X2] : multiply(X0,add(multiply(X1,X2),inverse(X0))) = multiply(X0,multiply(X2,X1)),
inference(paramodulation,[status(thm)],[f59,f569]) ).
fof(f934,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(X0,multiply(X2,X1)),
inference(forward_demodulation,[status(thm)],[f569,f933]) ).
fof(f1715,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X2,multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f17,f934]) ).
fof(f4721,plain,
! [X0,X1,X2] : multiply(add(multiply(X0,X1),X1),X2) = multiply(X2,multiply(add(X0,X2),X1)),
inference(paramodulation,[status(thm)],[f237,f283]) ).
fof(f4722,plain,
! [X0,X1,X2] : multiply(add(X0,multiply(X1,X0)),X2) = multiply(X2,multiply(add(X1,X2),X0)),
inference(forward_demodulation,[status(thm)],[f211,f4721]) ).
fof(f4723,plain,
! [X0,X1,X2] : multiply(X0,X1) = multiply(X1,multiply(add(X2,X1),X0)),
inference(forward_demodulation,[status(thm)],[f218,f4722]) ).
fof(f5041,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X1,X2),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f257,f4723]) ).
fof(f5042,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X1,X2),multiply(X2,X0)),
inference(paramodulation,[status(thm)],[f218,f4723]) ).
fof(f11602,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X1),multiply(X1,X2)),
inference(paramodulation,[status(thm)],[f1715,f5041]) ).
fof(f11603,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(X2,multiply(X0,X1)),
inference(forward_demodulation,[status(thm)],[f5042,f11602]) ).
fof(f11604,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f33,f11603]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : BOO007-2 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 10:58:19 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 6.46/1.19 % Refutation found
% 6.46/1.19 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 6.46/1.19 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 6.46/1.24 % Elapsed time: 0.874221 seconds
% 6.46/1.24 % CPU time: 6.781076 seconds
% 6.46/1.24 % Memory used: 92.717 MB
%------------------------------------------------------------------------------