TSTP Solution File: BOO020-1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : BOO020-1 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n029.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 12:02:50 EDT 2023
% Result : Unsatisfiable 74.97s 9.79s
% Output : CNFRefutation 75.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 57
% Number of leaves : 7
% Syntax : Number of formulae : 157 ( 95 unt; 0 def)
% Number of atoms : 222 ( 199 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 127 ( 62 ~; 62 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 309 (; 309 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : add(X,X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y,Z,U] :
( add(add(add(X,Y),Z),U) != add(add(Y,Z),X)
| add(add(add(X,Y),Z),inverse(U)) = n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y,Z,U] :
( add(add(add(X,Y),Z),inverse(U)) != n0
| add(add(add(X,Y),Z),U) = add(add(Y,Z),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
( add(inverse(add(a,inverse(b))),inverse(add(inverse(a),inverse(b)))) != b
| add(add(a,b),c) != add(a,add(b,c))
| add(b,a) != add(a,b) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,plain,
! [X0] : add(X0,X0) = X0,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f6,plain,
! [X0,X1,X2,X3] :
( add(add(add(X0,X1),X2),X3) != add(add(X1,X2),X0)
| add(add(add(X0,X1),X2),inverse(X3)) = n0 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f7,plain,
! [X0,X1,X2,X3] :
( add(add(add(X0,X1),X2),inverse(X3)) != n0
| add(add(add(X0,X1),X2),X3) = add(add(X1,X2),X0) ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f8,plain,
( add(inverse(add(a,inverse(b))),inverse(add(inverse(a),inverse(b)))) != b
| add(add(a,b),c) != add(a,add(b,c))
| add(b,a) != add(a,b) ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f9,plain,
( spl0_0
<=> add(inverse(add(a,inverse(b))),inverse(add(inverse(a),inverse(b)))) = b ),
introduced(split_symbol_definition) ).
fof(f11,plain,
( add(inverse(add(a,inverse(b))),inverse(add(inverse(a),inverse(b)))) != b
| spl0_0 ),
inference(component_clause,[status(thm)],[f9]) ).
fof(f12,plain,
( spl0_1
<=> add(add(a,b),c) = add(a,add(b,c)) ),
introduced(split_symbol_definition) ).
fof(f14,plain,
( add(add(a,b),c) != add(a,add(b,c))
| spl0_1 ),
inference(component_clause,[status(thm)],[f12]) ).
fof(f15,plain,
( spl0_2
<=> add(b,a) = add(a,b) ),
introduced(split_symbol_definition) ).
fof(f17,plain,
( add(b,a) != add(a,b)
| spl0_2 ),
inference(component_clause,[status(thm)],[f15]) ).
fof(f18,plain,
( ~ spl0_0
| ~ spl0_1
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f8,f9,f12,f15]) ).
fof(f19,plain,
! [X0] : add(add(add(X0,X0),X0),inverse(add(add(X0,X0),X0))) = n0,
inference(resolution,[status(thm)],[f6,f5]) ).
fof(f20,plain,
! [X0] : add(add(X0,X0),inverse(add(add(X0,X0),X0))) = n0,
inference(forward_demodulation,[status(thm)],[f5,f19]) ).
fof(f21,plain,
! [X0] : add(X0,inverse(add(add(X0,X0),X0))) = n0,
inference(forward_demodulation,[status(thm)],[f5,f20]) ).
fof(f22,plain,
! [X0] : add(X0,inverse(add(X0,X0))) = n0,
inference(forward_demodulation,[status(thm)],[f5,f21]) ).
fof(f23,plain,
! [X0] : add(X0,inverse(X0)) = n0,
inference(forward_demodulation,[status(thm)],[f5,f22]) ).
fof(f25,plain,
! [X0,X1,X2] :
( add(add(X0,X1),X2) != add(add(X1,add(X0,X1)),X0)
| add(add(add(X0,X1),add(X0,X1)),inverse(X2)) = n0 ),
inference(paramodulation,[status(thm)],[f5,f6]) ).
fof(f26,plain,
! [X0,X1,X2] :
( add(add(X0,X1),X2) != add(add(X1,add(X0,X1)),X0)
| add(add(X0,X1),inverse(X2)) = n0 ),
inference(forward_demodulation,[status(thm)],[f5,f25]) ).
fof(f27,plain,
! [X0,X1,X2] :
( add(add(X0,X1),X2) != add(add(X0,X1),X0)
| add(add(add(X0,X0),X1),inverse(X2)) = n0 ),
inference(paramodulation,[status(thm)],[f5,f6]) ).
fof(f28,plain,
! [X0,X1,X2] :
( add(add(X0,X1),X2) != add(add(X0,X1),X0)
| add(add(X0,X1),inverse(X2)) = n0 ),
inference(forward_demodulation,[status(thm)],[f5,f27]) ).
fof(f36,plain,
! [X0,X1] :
( add(n0,X0) != add(add(X1,inverse(X1)),X1)
| add(add(X1,inverse(X1)),inverse(X0)) = n0 ),
inference(paramodulation,[status(thm)],[f23,f28]) ).
fof(f37,plain,
! [X0,X1] :
( add(n0,X0) != add(n0,X1)
| add(add(X1,inverse(X1)),inverse(X0)) = n0 ),
inference(forward_demodulation,[status(thm)],[f23,f36]) ).
fof(f38,plain,
! [X0,X1] :
( add(n0,X0) != add(n0,X1)
| add(n0,inverse(X0)) = n0 ),
inference(forward_demodulation,[status(thm)],[f23,f37]) ).
fof(f39,plain,
! [X0,X1] :
( add(X0,X1) != add(add(X0,X0),X0)
| add(add(X0,X0),inverse(X1)) = n0 ),
inference(paramodulation,[status(thm)],[f5,f28]) ).
fof(f40,plain,
! [X0,X1] :
( add(X0,X1) != add(X0,X0)
| add(add(X0,X0),inverse(X1)) = n0 ),
inference(forward_demodulation,[status(thm)],[f5,f39]) ).
fof(f41,plain,
! [X0,X1] :
( add(X0,X1) != X0
| add(add(X0,X0),inverse(X1)) = n0 ),
inference(forward_demodulation,[status(thm)],[f5,f40]) ).
fof(f42,plain,
! [X0,X1] :
( add(X0,X1) != X0
| add(X0,inverse(X1)) = n0 ),
inference(forward_demodulation,[status(thm)],[f5,f41]) ).
fof(f50,plain,
! [X0,X1] : add(add(X0,X1),inverse(X0)) = n0,
inference(equality_resolution,[status(esa)],[f28]) ).
fof(f88,plain,
! [X0] : add(n0,inverse(X0)) = n0,
inference(equality_resolution,[status(esa)],[f38]) ).
fof(f137,plain,
! [X0,X1,X2] :
( n0 != add(add(X0,X1),X2)
| add(add(add(X2,X0),X1),inverse(inverse(add(X2,X0)))) = n0 ),
inference(paramodulation,[status(thm)],[f50,f6]) ).
fof(f138,plain,
! [X0,X1] :
( add(add(inverse(X0),X0),X1) != n0
| add(add(inverse(X0),X0),inverse(X1)) = n0 ),
inference(paramodulation,[status(thm)],[f50,f26]) ).
fof(f203,plain,
! [X0] : add(add(inverse(X0),X0),inverse(inverse(add(inverse(X0),X0)))) = n0,
inference(resolution,[status(thm)],[f138,f23]) ).
fof(f921,plain,
! [X0,X1] :
( n0 != add(X0,X1)
| add(add(add(X1,X0),X0),inverse(inverse(add(X1,X0)))) = n0 ),
inference(paramodulation,[status(thm)],[f5,f137]) ).
fof(f1005,plain,
! [X0] : add(add(add(inverse(X0),n0),n0),inverse(inverse(add(inverse(X0),n0)))) = n0,
inference(resolution,[status(thm)],[f921,f88]) ).
fof(f1235,plain,
! [X0,X1,X2] : add(add(add(X0,X1),X2),add(add(X0,X1),X2)) = add(add(X1,X2),X0),
inference(resolution,[status(thm)],[f7,f23]) ).
fof(f1236,plain,
! [X0,X1,X2] : add(add(X0,X1),X2) = add(add(X1,X2),X0),
inference(forward_demodulation,[status(thm)],[f5,f1235]) ).
fof(f1267,plain,
! [X0,X1] :
( add(n0,inverse(X0)) != n0
| add(add(add(add(inverse(X1),n0),n0),inverse(inverse(add(inverse(X1),n0)))),X0) = add(add(n0,inverse(inverse(add(inverse(X1),n0)))),add(inverse(X1),n0)) ),
inference(paramodulation,[status(thm)],[f1005,f7]) ).
fof(f1268,plain,
! [X0,X1] :
( n0 != n0
| add(add(add(add(inverse(X0),n0),n0),inverse(inverse(add(inverse(X0),n0)))),X1) = add(add(n0,inverse(inverse(add(inverse(X0),n0)))),add(inverse(X0),n0)) ),
inference(forward_demodulation,[status(thm)],[f88,f1267]) ).
fof(f1269,plain,
! [X0,X1] :
( n0 != n0
| add(n0,X0) = add(add(n0,inverse(inverse(add(inverse(X1),n0)))),add(inverse(X1),n0)) ),
inference(forward_demodulation,[status(thm)],[f1005,f1268]) ).
fof(f1270,plain,
! [X0,X1] :
( n0 != n0
| add(n0,X0) = add(add(add(inverse(X1),n0),n0),inverse(inverse(add(inverse(X1),n0)))) ),
inference(forward_demodulation,[status(thm)],[f1236,f1269]) ).
fof(f1271,plain,
! [X0] :
( n0 != n0
| add(n0,X0) = n0 ),
inference(forward_demodulation,[status(thm)],[f1005,f1270]) ).
fof(f1272,plain,
! [X0] : add(n0,X0) = n0,
inference(trivial_equality_resolution,[status(esa)],[f1271]) ).
fof(f1338,plain,
! [X0,X1,X2] :
( add(add(X0,X1),inverse(X2)) != n0
| add(add(add(X0,X1),add(X0,X1)),X2) = add(add(X1,add(X0,X1)),X0) ),
inference(paramodulation,[status(thm)],[f5,f7]) ).
fof(f1339,plain,
! [X0,X1,X2] :
( add(add(X0,X1),inverse(X2)) != n0
| add(add(X0,X1),X2) = add(add(X1,add(X0,X1)),X0) ),
inference(forward_demodulation,[status(thm)],[f5,f1338]) ).
fof(f1340,plain,
! [X0,X1,X2] :
( add(add(X0,X1),inverse(X2)) != n0
| add(add(X0,X1),X2) = add(add(X0,X1),add(X0,X1)) ),
inference(forward_demodulation,[status(thm)],[f1236,f1339]) ).
fof(f1341,plain,
! [X0,X1,X2] :
( add(add(X0,X1),inverse(X2)) != n0
| add(add(X0,X1),X2) = add(X0,X1) ),
inference(forward_demodulation,[status(thm)],[f5,f1340]) ).
fof(f1465,plain,
! [X0,X1,X2] :
( add(add(n0,X0),inverse(X1)) != n0
| add(add(add(X2,inverse(X2)),X0),X1) = add(add(inverse(X2),X0),X2) ),
inference(paramodulation,[status(thm)],[f23,f7]) ).
fof(f1466,plain,
! [X0,X1,X2] :
( add(n0,inverse(X0)) != n0
| add(add(add(X1,inverse(X1)),X2),X0) = add(add(inverse(X1),X2),X1) ),
inference(forward_demodulation,[status(thm)],[f1272,f1465]) ).
fof(f1467,plain,
! [X0,X1,X2] :
( n0 != n0
| add(add(add(X0,inverse(X0)),X1),X2) = add(add(inverse(X0),X1),X0) ),
inference(forward_demodulation,[status(thm)],[f88,f1466]) ).
fof(f1468,plain,
! [X0,X1,X2] :
( n0 != n0
| add(add(n0,X0),X1) = add(add(inverse(X2),X0),X2) ),
inference(forward_demodulation,[status(thm)],[f23,f1467]) ).
fof(f1469,plain,
! [X0,X1,X2] :
( n0 != n0
| add(n0,X0) = add(add(inverse(X1),X2),X1) ),
inference(forward_demodulation,[status(thm)],[f1272,f1468]) ).
fof(f1470,plain,
! [X0,X1] :
( n0 != n0
| n0 = add(add(inverse(X0),X1),X0) ),
inference(forward_demodulation,[status(thm)],[f1272,f1469]) ).
fof(f1471,plain,
! [X0,X1] :
( n0 != n0
| n0 = add(add(X0,X1),inverse(X1)) ),
inference(forward_demodulation,[status(thm)],[f1236,f1470]) ).
fof(f1472,plain,
! [X0,X1] : n0 = add(add(X0,X1),inverse(X1)),
inference(trivial_equality_resolution,[status(esa)],[f1471]) ).
fof(f1777,plain,
! [X0] : add(add(inverse(X0),X0),inverse(add(inverse(X0),X0))) = add(inverse(X0),X0),
inference(resolution,[status(thm)],[f1341,f203]) ).
fof(f1778,plain,
! [X0] : n0 = add(inverse(X0),X0),
inference(forward_demodulation,[status(thm)],[f23,f1777]) ).
fof(f1797,plain,
! [X0,X1] : add(add(X0,X1),X0) = add(X0,X1),
inference(resolution,[status(thm)],[f1341,f50]) ).
fof(f1934,plain,
! [X0,X1] :
( add(X0,inverse(X1)) != n0
| add(add(X0,X0),X1) = add(X0,X0) ),
inference(paramodulation,[status(thm)],[f5,f1341]) ).
fof(f1935,plain,
! [X0,X1] :
( add(X0,inverse(X1)) != n0
| add(X0,X1) = add(X0,X0) ),
inference(forward_demodulation,[status(thm)],[f5,f1934]) ).
fof(f1936,plain,
! [X0,X1] :
( add(X0,inverse(X1)) != n0
| add(X0,X1) = X0 ),
inference(forward_demodulation,[status(thm)],[f5,f1935]) ).
fof(f2178,plain,
! [X0,X1,X2,X3] : add(add(add(X0,X1),X2),X3) = add(add(X1,X3),add(X2,X0)),
inference(paramodulation,[status(thm)],[f1236,f1236]) ).
fof(f2193,plain,
! [X0,X1] : add(add(X0,X1),X1) = add(X1,X0),
inference(paramodulation,[status(thm)],[f5,f1236]) ).
fof(f2701,plain,
! [X0,X1,X2] : add(add(add(X0,X1),X2),X2) = add(add(X1,X2),X0),
inference(resolution,[status(thm)],[f1472,f7]) ).
fof(f2702,plain,
! [X0,X1,X2] : add(add(X0,X1),add(X1,X2)) = add(add(X0,X1),X2),
inference(forward_demodulation,[status(thm)],[f2178,f2701]) ).
fof(f2775,plain,
! [X0,X1] :
( n0 != add(X0,X1)
| add(add(X0,X1),inverse(inverse(X1))) = n0 ),
inference(paramodulation,[status(thm)],[f1472,f42]) ).
fof(f2809,plain,
! [X0,X1] : add(n0,inverse(X0)) = add(inverse(X0),add(X0,X1)),
inference(paramodulation,[status(thm)],[f50,f2193]) ).
fof(f2810,plain,
! [X0,X1] : n0 = add(inverse(X0),add(X0,X1)),
inference(forward_demodulation,[status(thm)],[f1272,f2809]) ).
fof(f2811,plain,
! [X0,X1] : add(add(X0,X1),X0) = add(X0,add(X1,X0)),
inference(paramodulation,[status(thm)],[f2193,f2193]) ).
fof(f2812,plain,
! [X0,X1] : add(X0,X1) = add(X0,add(X1,X0)),
inference(forward_demodulation,[status(thm)],[f1797,f2811]) ).
fof(f2813,plain,
! [X0,X1] : add(add(X0,X1),X0) = add(X0,add(X0,X1)),
inference(paramodulation,[status(thm)],[f1797,f2193]) ).
fof(f2814,plain,
! [X0,X1] : add(X0,X1) = add(X0,add(X0,X1)),
inference(forward_demodulation,[status(thm)],[f1797,f2813]) ).
fof(f2815,plain,
! [X0,X1,X2] : add(add(add(X0,X1),X2),X0) = add(X0,add(X1,X2)),
inference(paramodulation,[status(thm)],[f1236,f2193]) ).
fof(f2816,plain,
! [X0,X1,X2] : add(add(X0,X1),add(X1,X2)) = add(X1,add(X2,X0)),
inference(forward_demodulation,[status(thm)],[f1236,f2815]) ).
fof(f2817,plain,
! [X0,X1,X2] : add(add(X0,X1),X2) = add(X1,add(X2,X0)),
inference(forward_demodulation,[status(thm)],[f2702,f2816]) ).
fof(f2855,plain,
! [X0,X1,X2] : add(add(X0,add(X1,X2)),X2) = add(add(X2,X1),X0),
inference(paramodulation,[status(thm)],[f2193,f1236]) ).
fof(f2856,plain,
! [X0,X1,X2] : add(add(X0,X1),add(X2,X0)) = add(add(X0,X2),X1),
inference(forward_demodulation,[status(thm)],[f1236,f2855]) ).
fof(f2857,plain,
! [X0,X1,X2] : add(X0,add(add(X1,X2),X2)) = add(add(X2,X1),X0),
inference(forward_demodulation,[status(thm)],[f2817,f2856]) ).
fof(f2858,plain,
! [X0,X1,X2] : add(X0,add(X1,X2)) = add(add(X1,X2),X0),
inference(forward_demodulation,[status(thm)],[f2193,f2857]) ).
fof(f2859,plain,
! [X0,X1,X2] : add(X0,add(X1,X2)) = add(X2,add(X0,X1)),
inference(forward_demodulation,[status(thm)],[f2817,f2858]) ).
fof(f2895,plain,
! [X0,X1] : add(add(X0,X1),inverse(add(X1,X0))) = n0,
inference(paramodulation,[status(thm)],[f2193,f50]) ).
fof(f2896,plain,
! [X0,X1] : add(X0,add(inverse(add(X0,X1)),X1)) = n0,
inference(forward_demodulation,[status(thm)],[f2817,f2895]) ).
fof(f2939,plain,
! [X0,X1] : n0 = add(X0,add(inverse(X0),X1)),
inference(backward_demodulation,[status(thm)],[f2817,f1472]) ).
fof(f2943,plain,
! [X0,X1] : add(X0,add(X1,X1)) = add(X1,X0),
inference(backward_demodulation,[status(thm)],[f2817,f1797]) ).
fof(f2944,plain,
! [X0,X1] : add(X0,X1) = add(X1,X0),
inference(forward_demodulation,[status(thm)],[f5,f2943]) ).
fof(f3171,plain,
! [X0,X1,X2] : add(X0,add(add(X0,X1),X2)) = add(add(X2,X0),X1),
inference(backward_demodulation,[status(thm)],[f2817,f2702]) ).
fof(f3172,plain,
! [X0,X1,X2] : add(X0,add(X1,add(X2,X0))) = add(add(X2,X0),X1),
inference(forward_demodulation,[status(thm)],[f2817,f3171]) ).
fof(f3173,plain,
! [X0,X1,X2] : add(X0,add(X1,add(X2,X0))) = add(X0,add(X1,X2)),
inference(forward_demodulation,[status(thm)],[f2817,f3172]) ).
fof(f3183,plain,
! [X0,X1] :
( n0 != add(X0,X1)
| add(X1,add(inverse(inverse(X1)),X0)) = n0 ),
inference(backward_demodulation,[status(thm)],[f2817,f2775]) ).
fof(f3188,plain,
( $false
| spl0_2 ),
inference(backward_subsumption_resolution,[status(thm)],[f17,f2944]) ).
fof(f3189,plain,
spl0_2,
inference(contradiction_clause,[status(thm)],[f3188]) ).
fof(f3372,plain,
! [X0,X1] : n0 = add(X0,add(inverse(add(X1,X0)),X1)),
inference(paramodulation,[status(thm)],[f23,f2817]) ).
fof(f3373,plain,
! [X0,X1] : n0 = add(X0,add(X1,inverse(add(X1,X0)))),
inference(forward_demodulation,[status(thm)],[f2944,f3372]) ).
fof(f3407,plain,
! [X0,X1,X2] : add(add(X0,X1),X2) = add(add(X0,X1),add(X2,X0)),
inference(paramodulation,[status(thm)],[f2814,f2817]) ).
fof(f3408,plain,
! [X0,X1,X2] : add(X0,add(X1,X2)) = add(add(X2,X0),add(X1,X2)),
inference(forward_demodulation,[status(thm)],[f2817,f3407]) ).
fof(f3409,plain,
! [X0,X1,X2] : add(X0,add(X1,X2)) = add(X0,add(add(X1,X2),X2)),
inference(forward_demodulation,[status(thm)],[f2817,f3408]) ).
fof(f3410,plain,
! [X0,X1,X2] : add(X0,add(X1,X2)) = add(X0,add(X2,add(X2,X1))),
inference(forward_demodulation,[status(thm)],[f2817,f3409]) ).
fof(f3411,plain,
! [X0,X1,X2] : add(X0,add(X1,X2)) = add(X0,add(X2,X1)),
inference(forward_demodulation,[status(thm)],[f2814,f3410]) ).
fof(f3421,plain,
! [X0,X1,X2] : add(add(X0,X1),X2) = add(X0,add(X2,X1)),
inference(paramodulation,[status(thm)],[f2944,f2817]) ).
fof(f3422,plain,
! [X0,X1,X2] : add(X0,add(X1,X2)) = add(X2,add(X1,X0)),
inference(forward_demodulation,[status(thm)],[f2817,f3421]) ).
fof(f3430,plain,
! [X0,X1,X2] : add(add(X0,X1),X2) = add(X1,add(add(add(X0,X1),X2),X0)),
inference(paramodulation,[status(thm)],[f2817,f2814]) ).
fof(f3431,plain,
! [X0,X1,X2] : add(X0,add(X1,X2)) = add(X0,add(add(add(X2,X0),X1),X2)),
inference(forward_demodulation,[status(thm)],[f2817,f3430]) ).
fof(f3432,plain,
! [X0,X1,X2] : add(X0,add(X1,X2)) = add(X0,add(X2,add(add(X2,X0),X1))),
inference(forward_demodulation,[status(thm)],[f3411,f3431]) ).
fof(f3433,plain,
! [X0,X1,X2] : add(X0,add(X1,X2)) = add(X0,add(X2,add(X0,add(X1,X2)))),
inference(forward_demodulation,[status(thm)],[f2817,f3432]) ).
fof(f3434,plain,
! [X0,X1,X2] : add(X0,add(X1,X2)) = add(X0,add(X2,add(X0,X1))),
inference(forward_demodulation,[status(thm)],[f3173,f3433]) ).
fof(f3616,plain,
! [X0,X1,X2] : add(X0,add(X1,X2)) = add(X1,add(X0,X2)),
inference(paramodulation,[status(thm)],[f2944,f2859]) ).
fof(f5698,plain,
! [X0] : add(inverse(inverse(X0)),X0) = inverse(inverse(X0)),
inference(resolution,[status(thm)],[f1936,f1778]) ).
fof(f5699,plain,
! [X0] : add(X0,inverse(inverse(X0))) = inverse(inverse(X0)),
inference(forward_demodulation,[status(thm)],[f2944,f5698]) ).
fof(f5717,plain,
! [X0,X1] :
( add(inverse(X0),X1) != n0
| add(X1,X0) = X1 ),
inference(paramodulation,[status(thm)],[f2944,f1936]) ).
fof(f6130,plain,
! [X0,X1] : add(inverse(inverse(X0)),add(X0,X1)) = add(X1,inverse(inverse(X0))),
inference(paramodulation,[status(thm)],[f5699,f3422]) ).
fof(f6131,plain,
! [X0,X1] : add(X0,add(inverse(inverse(X0)),X1)) = add(X1,inverse(inverse(X0))),
inference(forward_demodulation,[status(thm)],[f3616,f6130]) ).
fof(f6159,plain,
! [X0,X1] :
( n0 != add(X0,X1)
| add(X0,inverse(inverse(X1))) = n0 ),
inference(backward_demodulation,[status(thm)],[f6131,f3183]) ).
fof(f6544,plain,
! [X0,X1] : add(inverse(X0),inverse(inverse(add(X0,X1)))) = n0,
inference(resolution,[status(thm)],[f6159,f2810]) ).
fof(f6547,plain,
! [X0,X1] : add(X0,inverse(inverse(add(inverse(X0),X1)))) = n0,
inference(resolution,[status(thm)],[f6159,f2939]) ).
fof(f6602,plain,
! [X0,X1] : add(inverse(X0),inverse(add(X0,X1))) = inverse(X0),
inference(resolution,[status(thm)],[f6544,f1936]) ).
fof(f6789,plain,
! [X0] : add(inverse(X0),inverse(inverse(inverse(X0)))) = inverse(X0),
inference(paramodulation,[status(thm)],[f5699,f6602]) ).
fof(f6790,plain,
! [X0] : inverse(inverse(inverse(X0))) = inverse(X0),
inference(forward_demodulation,[status(thm)],[f5699,f6789]) ).
fof(f6792,plain,
! [X0,X1] : add(inverse(X0),inverse(add(X1,X0))) = inverse(X0),
inference(paramodulation,[status(thm)],[f2944,f6602]) ).
fof(f7067,plain,
! [X0,X1] : add(inverse(X0),inverse(add(X1,inverse(inverse(X0))))) = inverse(inverse(inverse(X0))),
inference(paramodulation,[status(thm)],[f6790,f6792]) ).
fof(f7068,plain,
! [X0,X1] : add(inverse(X0),inverse(add(X1,inverse(inverse(X0))))) = inverse(X0),
inference(forward_demodulation,[status(thm)],[f6790,f7067]) ).
fof(f7096,plain,
! [X0,X1] : add(inverse(add(X0,X1)),inverse(add(X1,X0))) = inverse(add(X0,X1)),
inference(paramodulation,[status(thm)],[f2812,f6792]) ).
fof(f7132,plain,
! [X0,X1,X2] : add(inverse(X0),add(inverse(add(X1,X0)),X2)) = add(inverse(X0),add(X2,inverse(X0))),
inference(paramodulation,[status(thm)],[f6792,f3434]) ).
fof(f7133,plain,
! [X0,X1,X2] : add(inverse(X0),add(inverse(add(X1,X0)),X2)) = add(inverse(X0),X2),
inference(forward_demodulation,[status(thm)],[f2812,f7132]) ).
fof(f32684,plain,
! [X0,X1] : add(X0,inverse(add(inverse(X0),X1))) = X0,
inference(resolution,[status(thm)],[f6547,f1936]) ).
fof(f33192,plain,
! [X0] : add(X0,inverse(inverse(X0))) = X0,
inference(paramodulation,[status(thm)],[f7068,f32684]) ).
fof(f33193,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f5699,f33192]) ).
fof(f35267,plain,
! [X0,X1] :
( add(X0,X1) != n0
| add(X1,inverse(X0)) = X1 ),
inference(paramodulation,[status(thm)],[f33193,f5717]) ).
fof(f35289,plain,
! [X0,X1] :
( add(X0,X1) != n0
| add(X0,inverse(X1)) = X0 ),
inference(paramodulation,[status(thm)],[f33193,f1936]) ).
fof(f35570,plain,
! [X0,X1] : add(add(inverse(add(X0,X1)),X1),inverse(X0)) = add(inverse(add(X0,X1)),X1),
inference(resolution,[status(thm)],[f35267,f2896]) ).
fof(f35571,plain,
! [X0,X1] : add(X0,add(inverse(X1),inverse(add(X1,X0)))) = add(inverse(add(X1,X0)),X0),
inference(forward_demodulation,[status(thm)],[f2817,f35570]) ).
fof(f35572,plain,
! [X0,X1] : add(X0,inverse(X1)) = add(inverse(add(X1,X0)),X0),
inference(forward_demodulation,[status(thm)],[f6602,f35571]) ).
fof(f35573,plain,
! [X0,X1] : add(X0,inverse(X1)) = add(X0,inverse(add(X1,X0))),
inference(forward_demodulation,[status(thm)],[f2944,f35572]) ).
fof(f35622,plain,
! [X0,X1] : add(add(X0,inverse(add(X0,X1))),inverse(X1)) = add(X0,inverse(add(X0,X1))),
inference(resolution,[status(thm)],[f35267,f3373]) ).
fof(f35623,plain,
! [X0,X1] : add(inverse(add(X0,X1)),add(inverse(X1),X0)) = add(X0,inverse(add(X0,X1))),
inference(forward_demodulation,[status(thm)],[f2817,f35622]) ).
fof(f35624,plain,
! [X0,X1] : add(inverse(X0),add(inverse(add(X1,X0)),X1)) = add(X1,inverse(add(X1,X0))),
inference(forward_demodulation,[status(thm)],[f3616,f35623]) ).
fof(f35625,plain,
! [X0,X1] : add(inverse(X0),X1) = add(X1,inverse(add(X1,X0))),
inference(forward_demodulation,[status(thm)],[f7133,f35624]) ).
fof(f36115,plain,
! [X0,X1] :
( add(X0,X1) != n0
| add(X0,inverse(add(X0,X1))) = X0 ),
inference(paramodulation,[status(thm)],[f2814,f35289]) ).
fof(f36116,plain,
! [X0,X1] :
( add(X0,X1) != n0
| add(inverse(X1),X0) = X0 ),
inference(forward_demodulation,[status(thm)],[f35625,f36115]) ).
fof(f36235,plain,
! [X0,X1,X2] :
( add(X0,add(X1,X2)) != n0
| add(inverse(add(X2,X1)),X0) = X0 ),
inference(paramodulation,[status(thm)],[f3411,f36116]) ).
fof(f37786,plain,
! [X0,X1] : add(inverse(add(X0,X1)),inverse(X0)) = add(inverse(add(X0,X1)),inverse(add(inverse(X1),X0))),
inference(paramodulation,[status(thm)],[f35625,f35573]) ).
fof(f37787,plain,
! [X0,X1] : add(inverse(X0),inverse(add(X0,X1))) = add(inverse(add(X0,X1)),inverse(add(inverse(X1),X0))),
inference(forward_demodulation,[status(thm)],[f2944,f37786]) ).
fof(f37788,plain,
! [X0,X1] : inverse(X0) = add(inverse(add(X0,X1)),inverse(add(inverse(X1),X0))),
inference(forward_demodulation,[status(thm)],[f6602,f37787]) ).
fof(f40604,plain,
( add(b,add(c,a)) != add(a,add(b,c))
| spl0_1 ),
inference(backward_demodulation,[status(thm)],[f2817,f14]) ).
fof(f40605,plain,
( add(a,add(b,c)) != add(a,add(b,c))
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f2859,f40604]) ).
fof(f40606,plain,
( $false
| spl0_1 ),
inference(trivial_equality_resolution,[status(esa)],[f40605]) ).
fof(f40607,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f40606]) ).
fof(f52918,plain,
! [X0,X1] : add(inverse(add(X0,X1)),inverse(add(X1,X0))) = inverse(add(X1,X0)),
inference(resolution,[status(thm)],[f36235,f1778]) ).
fof(f52919,plain,
! [X0,X1] : inverse(add(X0,X1)) = inverse(add(X1,X0)),
inference(forward_demodulation,[status(thm)],[f7096,f52918]) ).
fof(f54569,plain,
! [X0,X1] : inverse(X0) = add(inverse(add(X1,X0)),inverse(add(inverse(X1),X0))),
inference(paramodulation,[status(thm)],[f52919,f37788]) ).
fof(f55169,plain,
( inverse(inverse(b)) != b
| spl0_0 ),
inference(backward_demodulation,[status(thm)],[f54569,f11]) ).
fof(f55170,plain,
( b != b
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f33193,f55169]) ).
fof(f55171,plain,
( $false
| spl0_0 ),
inference(trivial_equality_resolution,[status(esa)],[f55170]) ).
fof(f55172,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f55171]) ).
fof(f55173,plain,
$false,
inference(sat_refutation,[status(thm)],[f18,f3189,f40607,f55172]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : BOO020-1 : TPTP v8.1.2. Released v2.2.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n029.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 10:57:36 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.35 % Drodi V3.5.1
% 74.97/9.79 % Refutation found
% 74.97/9.79 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 74.97/9.79 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 75.56/9.89 % Elapsed time: 9.531473 seconds
% 75.56/9.89 % CPU time: 75.561304 seconds
% 75.56/9.89 % Memory used: 425.031 MB
%------------------------------------------------------------------------------