TSTP Solution File: RNG017-6 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : RNG017-6 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n028.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 12:32:37 EDT 2023
% Result : Unsatisfiable 9.55s 1.64s
% Output : CNFRefutation 10.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% 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 : 7 ( 7 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 122 (; 122 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : add(additive_identity,X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X] : add(X,additive_identity) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X] : multiply(additive_identity,X) = additive_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X] : multiply(X,additive_identity) = additive_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X] : add(additive_inverse(X),X) = additive_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X] : add(X,additive_inverse(X)) = additive_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X] : additive_inverse(additive_inverse(X)) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,Y,Z] : multiply(X,add(Y,Z)) = add(multiply(X,Y),multiply(X,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X,Y,Z] : multiply(add(X,Y),Z) = add(multiply(X,Z),multiply(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X,Y] : add(X,Y) = add(Y,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X,Y,Z] : add(X,add(Y,Z)) = add(add(X,Y),Z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [X,Y] : commutator(X,Y) = add(multiply(Y,X),additive_inverse(multiply(X,Y))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
multiply(additive_inverse(x),add(y,z)) != add(additive_inverse(multiply(x,y)),additive_inverse(multiply(x,z))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,plain,
! [X0] : add(additive_identity,X0) = X0,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f18,plain,
! [X0] : add(X0,additive_identity) = X0,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f19,plain,
! [X0] : multiply(additive_identity,X0) = additive_identity,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f20,plain,
! [X0] : multiply(X0,additive_identity) = additive_identity,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f21,plain,
! [X0] : add(additive_inverse(X0),X0) = additive_identity,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f22,plain,
! [X0] : add(X0,additive_inverse(X0)) = additive_identity,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f23,plain,
! [X0] : additive_inverse(additive_inverse(X0)) = X0,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f24,plain,
! [X0,X1,X2] : multiply(X0,add(X1,X2)) = add(multiply(X0,X1),multiply(X0,X2)),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f25,plain,
! [X0,X1,X2] : multiply(add(X0,X1),X2) = add(multiply(X0,X2),multiply(X1,X2)),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f26,plain,
! [X0,X1] : add(X0,X1) = add(X1,X0),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f27,plain,
! [X0,X1,X2] : add(X0,add(X1,X2)) = add(add(X0,X1),X2),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f31,plain,
! [X0,X1] : commutator(X0,X1) = add(multiply(X1,X0),additive_inverse(multiply(X0,X1))),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f32,plain,
multiply(additive_inverse(x),add(y,z)) != add(additive_inverse(multiply(x,y)),additive_inverse(multiply(x,z))),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f54,plain,
! [X0,X1,X2] : multiply(X0,add(X1,X2)) = add(multiply(X0,X2),multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f26,f24]) ).
fof(f55,plain,
! [X0,X1,X2] : multiply(X0,add(X1,X2)) = multiply(X0,add(X2,X1)),
inference(forward_demodulation,[status(thm)],[f24,f54]) ).
fof(f80,plain,
! [X0,X1] : add(additive_inverse(X0),add(X0,X1)) = add(additive_identity,X1),
inference(paramodulation,[status(thm)],[f21,f27]) ).
fof(f81,plain,
! [X0,X1] : add(additive_inverse(X0),add(X0,X1)) = X1,
inference(forward_demodulation,[status(thm)],[f17,f80]) ).
fof(f83,plain,
! [X0,X1] : add(X0,add(additive_inverse(X0),X1)) = add(additive_identity,X1),
inference(paramodulation,[status(thm)],[f22,f27]) ).
fof(f84,plain,
! [X0,X1] : add(X0,add(additive_inverse(X0),X1)) = X1,
inference(forward_demodulation,[status(thm)],[f17,f83]) ).
fof(f98,plain,
! [X0,X1,X2] : add(additive_inverse(multiply(X0,X1)),multiply(X0,add(X1,X2))) = multiply(X0,X2),
inference(paramodulation,[status(thm)],[f24,f81]) ).
fof(f106,plain,
! [X0,X1] : add(additive_inverse(X0),add(X1,X0)) = X1,
inference(paramodulation,[status(thm)],[f26,f81]) ).
fof(f118,plain,
! [X0,X1] : add(X0,add(X1,additive_inverse(X0))) = X1,
inference(paramodulation,[status(thm)],[f26,f84]) ).
fof(f134,plain,
! [X0,X1] : add(additive_inverse(add(X0,X1)),X0) = additive_inverse(X1),
inference(paramodulation,[status(thm)],[f106,f106]) ).
fof(f135,plain,
! [X0,X1] : add(X0,additive_inverse(add(X0,X1))) = additive_inverse(X1),
inference(forward_demodulation,[status(thm)],[f26,f134]) ).
fof(f209,plain,
! [X0,X1] : add(additive_inverse(X0),additive_inverse(X1)) = additive_inverse(add(X1,X0)),
inference(paramodulation,[status(thm)],[f106,f135]) ).
fof(f215,plain,
! [X0,X1] : add(X0,additive_inverse(X1)) = additive_inverse(add(X1,additive_inverse(X0))),
inference(paramodulation,[status(thm)],[f118,f135]) ).
fof(f473,plain,
! [X0,X1] : add(multiply(X0,X1),commutator(X0,X1)) = multiply(X1,X0),
inference(paramodulation,[status(thm)],[f31,f118]) ).
fof(f484,plain,
! [X0,X1,X2] : add(multiply(X0,X1),add(additive_inverse(multiply(X1,X0)),X2)) = add(commutator(X1,X0),X2),
inference(paramodulation,[status(thm)],[f31,f27]) ).
fof(f1091,plain,
multiply(additive_inverse(x),add(y,z)) != additive_inverse(add(multiply(x,z),multiply(x,y))),
inference(backward_demodulation,[status(thm)],[f209,f32]) ).
fof(f1092,plain,
multiply(additive_inverse(x),add(y,z)) != additive_inverse(multiply(x,add(z,y))),
inference(forward_demodulation,[status(thm)],[f24,f1091]) ).
fof(f1093,plain,
multiply(additive_inverse(x),add(y,z)) != additive_inverse(multiply(x,add(y,z))),
inference(forward_demodulation,[status(thm)],[f55,f1092]) ).
fof(f1336,plain,
! [X0,X1] : add(multiply(X0,X1),additive_inverse(multiply(X1,X0))) = additive_inverse(commutator(X0,X1)),
inference(paramodulation,[status(thm)],[f31,f215]) ).
fof(f1337,plain,
! [X0,X1] : commutator(X0,X1) = additive_inverse(commutator(X1,X0)),
inference(forward_demodulation,[status(thm)],[f31,f1336]) ).
fof(f1551,plain,
! [X0,X1,X2] : add(commutator(X0,X1),add(commutator(X1,X0),X2)) = X2,
inference(paramodulation,[status(thm)],[f1337,f84]) ).
fof(f6895,plain,
! [X0,X1] : add(additive_inverse(multiply(X0,X1)),multiply(X0,additive_identity)) = multiply(X0,additive_inverse(X1)),
inference(paramodulation,[status(thm)],[f22,f98]) ).
fof(f6896,plain,
! [X0,X1] : add(multiply(X0,additive_identity),additive_inverse(multiply(X0,X1))) = multiply(X0,additive_inverse(X1)),
inference(forward_demodulation,[status(thm)],[f26,f6895]) ).
fof(f6897,plain,
! [X0,X1] : add(additive_identity,additive_inverse(multiply(X0,X1))) = multiply(X0,additive_inverse(X1)),
inference(forward_demodulation,[status(thm)],[f20,f6896]) ).
fof(f6898,plain,
! [X0,X1] : additive_inverse(multiply(X0,X1)) = multiply(X0,additive_inverse(X1)),
inference(forward_demodulation,[status(thm)],[f17,f6897]) ).
fof(f7000,plain,
multiply(additive_inverse(x),add(y,z)) != multiply(x,additive_inverse(add(y,z))),
inference(backward_demodulation,[status(thm)],[f6898,f1093]) ).
fof(f7028,plain,
! [X0,X1,X2] : add(multiply(X0,X1),add(multiply(X1,additive_inverse(X0)),X2)) = add(commutator(X1,X0),X2),
inference(backward_demodulation,[status(thm)],[f6898,f484]) ).
fof(f7029,plain,
! [X0,X1] : commutator(X0,X1) = add(multiply(X1,X0),multiply(X0,additive_inverse(X1))),
inference(backward_demodulation,[status(thm)],[f6898,f31]) ).
fof(f7994,plain,
! [X0,X1] : commutator(X0,additive_inverse(X1)) = add(multiply(additive_inverse(X1),X0),multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f23,f7029]) ).
fof(f7995,plain,
! [X0,X1] : commutator(X0,additive_inverse(X1)) = add(multiply(X0,X1),multiply(additive_inverse(X1),X0)),
inference(forward_demodulation,[status(thm)],[f26,f7994]) ).
fof(f12177,plain,
! [X0,X1] : add(multiply(X0,X1),multiply(additive_inverse(X0),X1)) = add(commutator(X1,X0),commutator(X1,additive_inverse(X0))),
inference(paramodulation,[status(thm)],[f473,f7028]) ).
fof(f12178,plain,
! [X0,X1] : multiply(add(X0,additive_inverse(X0)),X1) = add(commutator(X1,X0),commutator(X1,additive_inverse(X0))),
inference(forward_demodulation,[status(thm)],[f25,f12177]) ).
fof(f12179,plain,
! [X0,X1] : multiply(additive_identity,X0) = add(commutator(X0,X1),commutator(X0,additive_inverse(X1))),
inference(forward_demodulation,[status(thm)],[f22,f12178]) ).
fof(f12180,plain,
! [X0,X1] : additive_identity = add(commutator(X0,X1),commutator(X0,additive_inverse(X1))),
inference(forward_demodulation,[status(thm)],[f19,f12179]) ).
fof(f12536,plain,
! [X0,X1] : add(commutator(X0,X1),additive_identity) = commutator(X1,additive_inverse(X0)),
inference(paramodulation,[status(thm)],[f12180,f1551]) ).
fof(f12537,plain,
! [X0,X1] : commutator(X0,X1) = commutator(X1,additive_inverse(X0)),
inference(forward_demodulation,[status(thm)],[f18,f12536]) ).
fof(f15744,plain,
! [X0,X1] : commutator(X0,X1) = add(multiply(X1,X0),multiply(additive_inverse(X0),X1)),
inference(forward_demodulation,[status(thm)],[f12537,f7995]) ).
fof(f15945,plain,
! [X0,X1] : add(multiply(X0,X1),additive_inverse(commutator(X1,X0))) = additive_inverse(multiply(additive_inverse(X1),X0)),
inference(paramodulation,[status(thm)],[f15744,f135]) ).
fof(f15946,plain,
! [X0,X1] : add(multiply(X0,X1),commutator(X0,X1)) = additive_inverse(multiply(additive_inverse(X1),X0)),
inference(forward_demodulation,[status(thm)],[f1337,f15945]) ).
fof(f15947,plain,
! [X0,X1] : multiply(X0,X1) = additive_inverse(multiply(additive_inverse(X0),X1)),
inference(forward_demodulation,[status(thm)],[f473,f15946]) ).
fof(f15948,plain,
! [X0,X1] : multiply(X0,X1) = multiply(additive_inverse(X0),additive_inverse(X1)),
inference(forward_demodulation,[status(thm)],[f6898,f15947]) ).
fof(f15991,plain,
! [X0,X1] : multiply(additive_inverse(X0),X1) = multiply(X0,additive_inverse(X1)),
inference(paramodulation,[status(thm)],[f23,f15948]) ).
fof(f16254,plain,
multiply(x,additive_inverse(add(y,z))) != multiply(x,additive_inverse(add(y,z))),
inference(backward_demodulation,[status(thm)],[f15991,f7000]) ).
fof(f16255,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f16254]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG017-6 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n028.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 10:50:02 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 9.55/1.64 % Refutation found
% 9.55/1.64 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 9.55/1.64 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 10.40/1.69 % Elapsed time: 1.331401 seconds
% 10.40/1.69 % CPU time: 10.404770 seconds
% 10.40/1.69 % Memory used: 113.453 MB
%------------------------------------------------------------------------------