TSTP Solution File: RNG025-1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : RNG025-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n020.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 12:32:38 EDT 2023
% Result : Unsatisfiable 111.23s 14.56s
% Output : CNFRefutation 113.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 13
% Syntax : Number of formulae : 53 ( 50 unt; 0 def)
% Number of atoms : 56 ( 55 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 14 ( 11 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 97 (; 97 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : add(additive_identity,X) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X] : add(additive_inverse(X),X) = additive_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y] : additive_inverse(add(X,Y)) = add(additive_inverse(X),additive_inverse(Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X] : additive_inverse(additive_inverse(X)) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,Y,Z] : multiply(X,add(Y,Z)) = add(multiply(X,Y),multiply(X,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,Y,Z] : multiply(add(X,Y),Z) = add(multiply(X,Z),multiply(Y,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X,Y] : multiply(multiply(X,Y),Y) = multiply(X,multiply(Y,Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X,Y] : multiply(multiply(X,X),Y) = multiply(X,multiply(X,Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X,Y] : multiply(additive_inverse(X),Y) = additive_inverse(multiply(X,Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X,Y] : multiply(X,additive_inverse(Y)) = additive_inverse(multiply(X,Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [X,Y,Z] : add(X,add(Y,Z)) = add(add(X,Y),Z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [X,Z,Y] :
( add(X,Z) != add(Y,Z)
| X = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
multiply(multiply(cy,cx),cy) != multiply(cy,multiply(cx,cy)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,plain,
! [X0] : add(additive_identity,X0) = X0,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f22,plain,
! [X0] : add(additive_inverse(X0),X0) = additive_identity,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f23,plain,
! [X0,X1] : additive_inverse(add(X0,X1)) = add(additive_inverse(X0),additive_inverse(X1)),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f24,plain,
! [X0] : additive_inverse(additive_inverse(X0)) = X0,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f25,plain,
! [X0,X1,X2] : multiply(X0,add(X1,X2)) = add(multiply(X0,X1),multiply(X0,X2)),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f26,plain,
! [X0,X1,X2] : multiply(add(X0,X1),X2) = add(multiply(X0,X2),multiply(X1,X2)),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f27,plain,
! [X0,X1] : multiply(multiply(X0,X1),X1) = multiply(X0,multiply(X1,X1)),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f28,plain,
! [X0,X1] : multiply(multiply(X0,X0),X1) = multiply(X0,multiply(X0,X1)),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f29,plain,
! [X0,X1] : multiply(additive_inverse(X0),X1) = additive_inverse(multiply(X0,X1)),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f30,plain,
! [X0,X1] : multiply(X0,additive_inverse(X1)) = additive_inverse(multiply(X0,X1)),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f33,plain,
! [X0,X1,X2] : add(X0,add(X1,X2)) = add(add(X0,X1),X2),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f34,plain,
! [X,Y] :
( ! [Z] : add(X,Z) != add(Y,Z)
| X = Y ),
inference(miniscoping,[status(esa)],[f16]) ).
fof(f35,plain,
! [X0,X1,X2] :
( add(X0,X1) != add(X2,X1)
| X0 = X2 ),
inference(cnf_transformation,[status(esa)],[f34]) ).
fof(f38,plain,
multiply(multiply(cy,cx),cy) != multiply(cy,multiply(cx,cy)),
inference(cnf_transformation,[status(esa)],[f18]) ).
fof(f1551,plain,
! [X0] : add(X0,additive_inverse(X0)) = additive_identity,
inference(paramodulation,[status(thm)],[f24,f22]) ).
fof(f1645,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),add(X2,X1)) = add(multiply(multiply(X0,X1),X2),multiply(X0,multiply(X1,X1))),
inference(paramodulation,[status(thm)],[f27,f25]) ).
fof(f1671,plain,
! [X0,X1,X2] : multiply(add(multiply(X0,X0),X1),X2) = add(multiply(X0,multiply(X0,X2)),multiply(X1,X2)),
inference(paramodulation,[status(thm)],[f28,f26]) ).
fof(f1752,plain,
! [X0,X1,X2] : multiply(add(multiply(X0,X0),multiply(X1,X2)),X2) = add(multiply(X0,multiply(X0,X2)),multiply(X1,multiply(X2,X2))),
inference(paramodulation,[status(thm)],[f27,f1671]) ).
fof(f9250,plain,
! [X0] : add(multiply(multiply(cy,cx),cy),X0) != add(multiply(cy,multiply(cx,cy)),X0),
inference(resolution,[status(thm)],[f35,f38]) ).
fof(f9391,plain,
! [X0,X1] : multiply(X0,additive_inverse(X1)) = multiply(additive_inverse(X0),X1),
inference(forward_demodulation,[status(thm)],[f29,f30]) ).
fof(f9392,plain,
! [X0,X1] : multiply(X0,additive_inverse(X1)) = additive_inverse(multiply(X0,X1)),
inference(backward_demodulation,[status(thm)],[f9391,f29]) ).
fof(f10728,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),additive_inverse(X2)) = multiply(multiply(X0,additive_inverse(X1)),X2),
inference(paramodulation,[status(thm)],[f9392,f9391]) ).
fof(f10758,plain,
! [X0,X1] : add(X0,add(additive_inverse(X0),X1)) = add(additive_identity,X1),
inference(paramodulation,[status(thm)],[f1551,f33]) ).
fof(f10759,plain,
! [X0,X1] : add(X0,add(additive_inverse(X0),X1)) = X1,
inference(forward_demodulation,[status(thm)],[f19,f10758]) ).
fof(f10840,plain,
! [X0,X1] : add(X0,additive_inverse(add(X0,X1))) = additive_inverse(X1),
inference(paramodulation,[status(thm)],[f23,f10759]) ).
fof(f11385,plain,
multiply(multiply(cy,cx),add(cy,cx)) != add(multiply(cy,multiply(cx,cy)),multiply(cy,multiply(cx,cx))),
inference(paramodulation,[status(thm)],[f1645,f9250]) ).
fof(f11386,plain,
multiply(multiply(cy,cx),add(cy,cx)) != multiply(cy,add(multiply(cx,cy),multiply(cx,cx))),
inference(forward_demodulation,[status(thm)],[f25,f11385]) ).
fof(f11387,plain,
multiply(multiply(cy,cx),add(cy,cx)) != multiply(cy,multiply(cx,add(cy,cx))),
inference(forward_demodulation,[status(thm)],[f25,f11386]) ).
fof(f11551,plain,
! [X0] : add(multiply(multiply(cy,cx),add(cy,cx)),X0) != add(multiply(cy,multiply(cx,add(cy,cx))),X0),
inference(resolution,[status(thm)],[f11387,f35]) ).
fof(f69319,plain,
! [X0,X1] : multiply(add(multiply(X0,X0),multiply(X0,X1)),X1) = multiply(X0,add(multiply(X0,X1),multiply(X1,X1))),
inference(paramodulation,[status(thm)],[f25,f1752]) ).
fof(f69320,plain,
! [X0,X1] : multiply(multiply(X0,add(X0,X1)),X1) = multiply(X0,add(multiply(X0,X1),multiply(X1,X1))),
inference(forward_demodulation,[status(thm)],[f25,f69319]) ).
fof(f69321,plain,
! [X0,X1] : multiply(multiply(X0,add(X0,X1)),X1) = multiply(X0,multiply(add(X0,X1),X1)),
inference(forward_demodulation,[status(thm)],[f26,f69320]) ).
fof(f83201,plain,
! [X0,X1] : multiply(multiply(X0,additive_inverse(X1)),additive_inverse(add(X0,X1))) = multiply(X0,multiply(add(X0,additive_inverse(add(X0,X1))),additive_inverse(add(X0,X1)))),
inference(paramodulation,[status(thm)],[f10840,f69321]) ).
fof(f83202,plain,
! [X0,X1] : multiply(multiply(X0,X1),additive_inverse(additive_inverse(add(X0,X1)))) = multiply(X0,multiply(add(X0,additive_inverse(add(X0,X1))),additive_inverse(add(X0,X1)))),
inference(forward_demodulation,[status(thm)],[f10728,f83201]) ).
fof(f83203,plain,
! [X0,X1] : multiply(multiply(X0,X1),add(X0,X1)) = multiply(X0,multiply(add(X0,additive_inverse(add(X0,X1))),additive_inverse(add(X0,X1)))),
inference(forward_demodulation,[status(thm)],[f24,f83202]) ).
fof(f83204,plain,
! [X0,X1] : multiply(multiply(X0,X1),add(X0,X1)) = multiply(X0,multiply(additive_inverse(X1),additive_inverse(add(X0,X1)))),
inference(forward_demodulation,[status(thm)],[f10840,f83203]) ).
fof(f83205,plain,
! [X0,X1] : multiply(multiply(X0,X1),add(X0,X1)) = multiply(X0,multiply(X1,additive_inverse(additive_inverse(add(X0,X1))))),
inference(forward_demodulation,[status(thm)],[f9391,f83204]) ).
fof(f83206,plain,
! [X0,X1] : multiply(multiply(X0,X1),add(X0,X1)) = multiply(X0,multiply(X1,add(X0,X1))),
inference(forward_demodulation,[status(thm)],[f24,f83205]) ).
fof(f91326,plain,
! [X0] : add(multiply(cy,multiply(cx,add(cy,cx))),X0) != add(multiply(cy,multiply(cx,add(cy,cx))),X0),
inference(backward_demodulation,[status(thm)],[f83206,f11551]) ).
fof(f91327,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f91326]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : RNG025-1 : TPTP v8.1.2. Released v1.0.0.
% 0.09/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.30 % Computer : n020.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue May 30 10:35:28 EDT 2023
% 0.10/0.30 % CPUTime :
% 0.10/0.31 % Drodi V3.5.1
% 111.23/14.56 % Refutation found
% 111.23/14.56 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 111.23/14.56 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 114.58/16.01 % Elapsed time: 15.491739 seconds
% 114.58/16.01 % CPU time: 110.119712 seconds
% 114.58/16.01 % Memory used: 1.231 GB
%------------------------------------------------------------------------------