TSTP Solution File: BOO015-2 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : BOO015-2 : TPTP v8.1.2. Bugfixed v1.0.1.
% 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 12:02:48 EDT 2023
% Result : Unsatisfiable 21.90s 3.20s
% Output : CNFRefutation 22.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 17
% Syntax : Number of formulae : 127 ( 127 unt; 0 def)
% Number of atoms : 127 ( 126 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 124 (; 124 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] : add(X,Y) = add(Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] : multiply(X,Y) = multiply(Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y,Z] : add(multiply(X,Y),Z) = multiply(add(X,Z),add(Y,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y,Z] : add(X,multiply(Y,Z)) = multiply(add(X,Y),add(X,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y,Z] : multiply(add(X,Y),Z) = add(multiply(X,Z),multiply(Y,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y,Z] : multiply(X,add(Y,Z)) = add(multiply(X,Y),multiply(X,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X] : add(X,inverse(X)) = multiplicative_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X] : add(inverse(X),X) = multiplicative_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X] : multiply(X,inverse(X)) = additive_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X] : multiply(inverse(X),X) = additive_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X] : multiply(X,multiplicative_identity) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X] : multiply(multiplicative_identity,X) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [X] : add(X,additive_identity) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [X] : add(additive_identity,X) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,hypothesis,
multiply(a,b) = c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,hypothesis,
add(inverse(a),inverse(b)) = d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
inverse(c) != d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,plain,
! [X0,X1] : add(X0,X1) = add(X1,X0),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f19,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f20,plain,
! [X0,X1,X2] : add(multiply(X0,X1),X2) = multiply(add(X0,X2),add(X1,X2)),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f21,plain,
! [X0,X1,X2] : add(X0,multiply(X1,X2)) = multiply(add(X0,X1),add(X0,X2)),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f22,plain,
! [X0,X1,X2] : multiply(add(X0,X1),X2) = add(multiply(X0,X2),multiply(X1,X2)),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f23,plain,
! [X0,X1,X2] : multiply(X0,add(X1,X2)) = add(multiply(X0,X1),multiply(X0,X2)),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f24,plain,
! [X0] : add(X0,inverse(X0)) = multiplicative_identity,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f25,plain,
! [X0] : add(inverse(X0),X0) = multiplicative_identity,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f26,plain,
! [X0] : multiply(X0,inverse(X0)) = additive_identity,
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f27,plain,
! [X0] : multiply(inverse(X0),X0) = additive_identity,
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f28,plain,
! [X0] : multiply(X0,multiplicative_identity) = X0,
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f29,plain,
! [X0] : multiply(multiplicative_identity,X0) = X0,
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f30,plain,
! [X0] : add(X0,additive_identity) = X0,
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f31,plain,
! [X0] : add(additive_identity,X0) = X0,
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f32,plain,
multiply(a,b) = c,
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f33,plain,
add(inverse(a),inverse(b)) = d,
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f34,plain,
inverse(c) != d,
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f79,plain,
! [X0,X1] : add(multiply(additive_identity,X0),X1) = multiply(X1,add(X0,X1)),
inference(paramodulation,[status(thm)],[f31,f20]) ).
fof(f80,plain,
! [X0] : add(multiply(inverse(a),X0),inverse(b)) = multiply(d,add(X0,inverse(b))),
inference(paramodulation,[status(thm)],[f33,f20]) ).
fof(f81,plain,
! [X0] : add(multiply(inverse(a),X0),inverse(b)) = multiply(add(X0,inverse(b)),d),
inference(forward_demodulation,[status(thm)],[f19,f80]) ).
fof(f82,plain,
! [X0,X1] : add(multiply(inverse(X0),X1),X0) = multiply(multiplicative_identity,add(X1,X0)),
inference(paramodulation,[status(thm)],[f25,f20]) ).
fof(f83,plain,
! [X0,X1] : add(multiply(inverse(X0),X1),X0) = add(X1,X0),
inference(forward_demodulation,[status(thm)],[f29,f82]) ).
fof(f88,plain,
! [X0,X1,X2] : add(multiply(X0,X1),X2) = multiply(add(X2,X0),add(X1,X2)),
inference(paramodulation,[status(thm)],[f18,f20]) ).
fof(f94,plain,
! [X0,X1] : add(multiply(X0,X1),inverse(X1)) = multiply(add(X0,inverse(X1)),multiplicative_identity),
inference(paramodulation,[status(thm)],[f24,f20]) ).
fof(f95,plain,
! [X0,X1] : add(multiply(X0,X1),inverse(X1)) = add(X0,inverse(X1)),
inference(forward_demodulation,[status(thm)],[f28,f94]) ).
fof(f167,plain,
! [X0,X1] : add(X0,multiply(inverse(X0),X1)) = add(X1,X0),
inference(paramodulation,[status(thm)],[f18,f83]) ).
fof(f169,plain,
! [X0] : add(additive_identity,X0) = add(X0,X0),
inference(paramodulation,[status(thm)],[f27,f83]) ).
fof(f170,plain,
! [X0] : X0 = add(X0,X0),
inference(forward_demodulation,[status(thm)],[f31,f169]) ).
fof(f173,plain,
! [X0] : add(inverse(X0),X0) = add(multiplicative_identity,X0),
inference(paramodulation,[status(thm)],[f28,f83]) ).
fof(f174,plain,
! [X0] : multiplicative_identity = add(multiplicative_identity,X0),
inference(forward_demodulation,[status(thm)],[f25,f173]) ).
fof(f197,plain,
! [X0] : multiplicative_identity = add(X0,multiplicative_identity),
inference(paramodulation,[status(thm)],[f18,f174]) ).
fof(f335,plain,
! [X0] : add(multiply(additive_identity,X0),X0) = multiply(X0,X0),
inference(paramodulation,[status(thm)],[f170,f79]) ).
fof(f344,plain,
! [X0] : add(X0,multiply(additive_identity,X0)) = multiply(X0,X0),
inference(paramodulation,[status(thm)],[f18,f335]) ).
fof(f462,plain,
! [X0] : add(inverse(a),multiply(inverse(b),X0)) = multiply(d,add(inverse(a),X0)),
inference(paramodulation,[status(thm)],[f33,f21]) ).
fof(f463,plain,
! [X0] : add(multiply(inverse(b),X0),inverse(a)) = multiply(d,add(inverse(a),X0)),
inference(forward_demodulation,[status(thm)],[f18,f462]) ).
fof(f464,plain,
! [X0] : add(multiply(inverse(b),X0),inverse(a)) = multiply(add(inverse(a),X0),d),
inference(forward_demodulation,[status(thm)],[f19,f463]) ).
fof(f565,plain,
! [X0,X1,X2] : multiply(add(X0,X1),X2) = add(multiply(X1,X2),multiply(X0,X2)),
inference(paramodulation,[status(thm)],[f18,f22]) ).
fof(f566,plain,
! [X0,X1,X2] : multiply(add(X0,X1),X2) = multiply(add(X1,X0),X2),
inference(forward_demodulation,[status(thm)],[f22,f565]) ).
fof(f575,plain,
! [X0,X1] : multiply(add(multiplicative_identity,X0),X1) = add(X1,multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f29,f22]) ).
fof(f576,plain,
! [X0,X1] : multiply(multiplicative_identity,X0) = add(X0,multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f174,f575]) ).
fof(f577,plain,
! [X0,X1] : X0 = add(X0,multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f29,f576]) ).
fof(f584,plain,
! [X0,X1] : multiply(add(X0,X1),inverse(X0)) = add(additive_identity,multiply(X1,inverse(X0))),
inference(paramodulation,[status(thm)],[f26,f22]) ).
fof(f585,plain,
! [X0,X1] : multiply(add(X0,X1),inverse(X0)) = multiply(X1,inverse(X0)),
inference(forward_demodulation,[status(thm)],[f31,f584]) ).
fof(f599,plain,
! [X0,X1] : multiply(add(X0,multiplicative_identity),X1) = add(multiply(X0,X1),X1),
inference(paramodulation,[status(thm)],[f29,f22]) ).
fof(f600,plain,
! [X0,X1] : multiply(multiplicative_identity,X0) = add(multiply(X1,X0),X0),
inference(forward_demodulation,[status(thm)],[f197,f599]) ).
fof(f601,plain,
! [X0,X1] : X0 = add(multiply(X1,X0),X0),
inference(forward_demodulation,[status(thm)],[f29,f600]) ).
fof(f602,plain,
! [X0] : multiply(add(X0,a),b) = add(multiply(X0,b),c),
inference(paramodulation,[status(thm)],[f32,f22]) ).
fof(f643,plain,
! [X0] : X0 = multiply(X0,X0),
inference(backward_demodulation,[status(thm)],[f577,f344]) ).
fof(f716,plain,
! [X0,X1] : multiply(X0,add(multiplicative_identity,X1)) = add(X0,multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f28,f23]) ).
fof(f717,plain,
! [X0,X1] : multiply(X0,multiplicative_identity) = add(X0,multiply(X0,X1)),
inference(forward_demodulation,[status(thm)],[f174,f716]) ).
fof(f718,plain,
! [X0,X1] : X0 = add(X0,multiply(X0,X1)),
inference(forward_demodulation,[status(thm)],[f28,f717]) ).
fof(f744,plain,
! [X0,X1] : multiply(X0,add(X1,multiplicative_identity)) = add(multiply(X0,X1),X0),
inference(paramodulation,[status(thm)],[f28,f23]) ).
fof(f745,plain,
! [X0,X1] : multiply(X0,multiplicative_identity) = add(multiply(X0,X1),X0),
inference(forward_demodulation,[status(thm)],[f197,f744]) ).
fof(f746,plain,
! [X0,X1] : X0 = add(multiply(X0,X1),X0),
inference(forward_demodulation,[status(thm)],[f28,f745]) ).
fof(f800,plain,
multiply(multiplicative_identity,b) = add(multiply(multiplicative_identity,b),c),
inference(paramodulation,[status(thm)],[f174,f602]) ).
fof(f801,plain,
b = add(multiply(multiplicative_identity,b),c),
inference(forward_demodulation,[status(thm)],[f29,f800]) ).
fof(f802,plain,
b = add(b,c),
inference(forward_demodulation,[status(thm)],[f29,f801]) ).
fof(f901,plain,
add(additive_identity,inverse(a)) = multiply(add(inverse(a),b),d),
inference(paramodulation,[status(thm)],[f27,f464]) ).
fof(f902,plain,
inverse(a) = multiply(add(inverse(a),b),d),
inference(forward_demodulation,[status(thm)],[f31,f901]) ).
fof(f1304,plain,
! [X0,X1] : multiply(X0,add(X1,X0)) = add(multiply(X0,X1),X0),
inference(paramodulation,[status(thm)],[f643,f23]) ).
fof(f1305,plain,
! [X0,X1] : multiply(X0,add(X1,X0)) = X0,
inference(forward_demodulation,[status(thm)],[f746,f1304]) ).
fof(f1327,plain,
! [X0] : additive_identity = multiply(X0,additive_identity),
inference(paramodulation,[status(thm)],[f31,f577]) ).
fof(f1332,plain,
d = add(d,inverse(a)),
inference(paramodulation,[status(thm)],[f902,f577]) ).
fof(f1333,plain,
d = add(inverse(a),d),
inference(forward_demodulation,[status(thm)],[f18,f1332]) ).
fof(f1380,plain,
add(additive_identity,inverse(a)) = multiply(add(inverse(a),additive_identity),d),
inference(paramodulation,[status(thm)],[f1327,f464]) ).
fof(f1381,plain,
inverse(a) = multiply(add(inverse(a),additive_identity),d),
inference(forward_demodulation,[status(thm)],[f31,f1380]) ).
fof(f1382,plain,
inverse(a) = multiply(inverse(a),d),
inference(forward_demodulation,[status(thm)],[f30,f1381]) ).
fof(f1383,plain,
add(additive_identity,inverse(b)) = multiply(add(additive_identity,inverse(b)),d),
inference(paramodulation,[status(thm)],[f1327,f81]) ).
fof(f1384,plain,
inverse(b) = multiply(add(additive_identity,inverse(b)),d),
inference(forward_demodulation,[status(thm)],[f31,f1383]) ).
fof(f1385,plain,
inverse(b) = multiply(add(inverse(b),additive_identity),d),
inference(forward_demodulation,[status(thm)],[f566,f1384]) ).
fof(f1386,plain,
inverse(b) = multiply(inverse(b),d),
inference(forward_demodulation,[status(thm)],[f30,f1385]) ).
fof(f1451,plain,
a = add(a,c),
inference(paramodulation,[status(thm)],[f32,f718]) ).
fof(f1601,plain,
! [X0] : add(inverse(a),multiply(X0,d)) = multiply(add(inverse(a),X0),d),
inference(paramodulation,[status(thm)],[f1333,f21]) ).
fof(f1602,plain,
! [X0] : add(multiply(X0,d),inverse(a)) = multiply(add(inverse(a),X0),d),
inference(forward_demodulation,[status(thm)],[f18,f1601]) ).
fof(f1616,plain,
inverse(a) = add(multiply(b,d),inverse(a)),
inference(backward_demodulation,[status(thm)],[f1602,f902]) ).
fof(f1650,plain,
multiply(c,b) = c,
inference(paramodulation,[status(thm)],[f802,f1305]) ).
fof(f1651,plain,
multiply(b,c) = c,
inference(forward_demodulation,[status(thm)],[f19,f1650]) ).
fof(f2458,plain,
add(b,inverse(b)) = add(d,b),
inference(paramodulation,[status(thm)],[f1386,f167]) ).
fof(f2459,plain,
multiplicative_identity = add(d,b),
inference(forward_demodulation,[status(thm)],[f24,f2458]) ).
fof(f2460,plain,
multiplicative_identity = add(b,d),
inference(forward_demodulation,[status(thm)],[f18,f2459]) ).
fof(f2491,plain,
! [X0] : add(multiply(X0,b),d) = multiply(add(d,X0),multiplicative_identity),
inference(paramodulation,[status(thm)],[f2460,f88]) ).
fof(f2492,plain,
! [X0] : add(multiply(X0,b),d) = add(d,X0),
inference(forward_demodulation,[status(thm)],[f28,f2491]) ).
fof(f2591,plain,
add(a,inverse(a)) = add(d,a),
inference(paramodulation,[status(thm)],[f1382,f167]) ).
fof(f2592,plain,
multiplicative_identity = add(d,a),
inference(forward_demodulation,[status(thm)],[f24,f2591]) ).
fof(f2593,plain,
multiplicative_identity = add(a,d),
inference(forward_demodulation,[status(thm)],[f18,f2592]) ).
fof(f4756,plain,
add(c,inverse(c)) = add(b,inverse(c)),
inference(paramodulation,[status(thm)],[f1651,f95]) ).
fof(f4757,plain,
multiplicative_identity = add(b,inverse(c)),
inference(forward_demodulation,[status(thm)],[f24,f4756]) ).
fof(f4758,plain,
multiplicative_identity = add(inverse(c),b),
inference(forward_demodulation,[status(thm)],[f18,f4757]) ).
fof(f5156,plain,
! [X0] : add(multiply(b,X0),inverse(c)) = multiply(multiplicative_identity,add(X0,inverse(c))),
inference(paramodulation,[status(thm)],[f4758,f88]) ).
fof(f5157,plain,
! [X0] : add(multiply(b,X0),inverse(c)) = add(X0,inverse(c)),
inference(forward_demodulation,[status(thm)],[f29,f5156]) ).
fof(f5410,plain,
add(c,d) = add(d,a),
inference(paramodulation,[status(thm)],[f32,f2492]) ).
fof(f5411,plain,
add(c,d) = add(a,d),
inference(forward_demodulation,[status(thm)],[f18,f5410]) ).
fof(f5412,plain,
add(c,d) = multiplicative_identity,
inference(forward_demodulation,[status(thm)],[f2593,f5411]) ).
fof(f10381,plain,
multiply(multiplicative_identity,inverse(c)) = multiply(d,inverse(c)),
inference(paramodulation,[status(thm)],[f5412,f585]) ).
fof(f10382,plain,
inverse(c) = multiply(d,inverse(c)),
inference(forward_demodulation,[status(thm)],[f29,f10381]) ).
fof(f10383,plain,
inverse(c) = multiply(inverse(c),d),
inference(forward_demodulation,[status(thm)],[f19,f10382]) ).
fof(f10410,plain,
multiply(a,inverse(a)) = multiply(c,inverse(a)),
inference(paramodulation,[status(thm)],[f1451,f585]) ).
fof(f10411,plain,
additive_identity = multiply(c,inverse(a)),
inference(forward_demodulation,[status(thm)],[f26,f10410]) ).
fof(f10412,plain,
additive_identity = multiply(inverse(a),c),
inference(forward_demodulation,[status(thm)],[f19,f10411]) ).
fof(f10733,plain,
! [X0] : multiply(add(X0,inverse(a)),c) = add(multiply(X0,c),additive_identity),
inference(paramodulation,[status(thm)],[f10412,f22]) ).
fof(f10734,plain,
! [X0] : multiply(add(X0,inverse(a)),c) = multiply(X0,c),
inference(forward_demodulation,[status(thm)],[f30,f10733]) ).
fof(f10780,plain,
d = add(inverse(c),d),
inference(paramodulation,[status(thm)],[f10383,f601]) ).
fof(f27350,plain,
multiply(inverse(a),c) = multiply(multiply(b,d),c),
inference(paramodulation,[status(thm)],[f1616,f10734]) ).
fof(f27351,plain,
additive_identity = multiply(multiply(b,d),c),
inference(forward_demodulation,[status(thm)],[f10412,f27350]) ).
fof(f27633,plain,
add(additive_identity,inverse(c)) = add(multiply(b,d),inverse(c)),
inference(paramodulation,[status(thm)],[f27351,f95]) ).
fof(f27634,plain,
inverse(c) = add(multiply(b,d),inverse(c)),
inference(forward_demodulation,[status(thm)],[f31,f27633]) ).
fof(f27635,plain,
inverse(c) = add(d,inverse(c)),
inference(forward_demodulation,[status(thm)],[f5157,f27634]) ).
fof(f27636,plain,
inverse(c) = add(inverse(c),d),
inference(forward_demodulation,[status(thm)],[f18,f27635]) ).
fof(f27637,plain,
inverse(c) = d,
inference(forward_demodulation,[status(thm)],[f10780,f27636]) ).
fof(f27638,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f27637,f34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : BOO015-2 : TPTP v8.1.2. Bugfixed v1.0.1.
% 0.00/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n020.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 10:42:28 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.15/0.31 % Drodi V3.5.1
% 21.90/3.20 % Refutation found
% 21.90/3.20 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 21.90/3.20 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 22.67/3.32 % Elapsed time: 2.986505 seconds
% 22.67/3.32 % CPU time: 22.619397 seconds
% 22.67/3.32 % Memory used: 229.404 MB
%------------------------------------------------------------------------------