TSTP Solution File: RNG008-6 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : RNG008-6 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n009.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 : Tue Apr 30 20:37:42 EDT 2024
% Result : Unsatisfiable 18.99s 2.79s
% Output : CNFRefutation 18.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 18
% Syntax : Number of formulae : 123 ( 78 unt; 0 def)
% Number of atoms : 218 ( 39 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 192 ( 97 ~; 95 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 313 ( 313 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : sum(additive_identity,X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X] : sum(X,additive_identity,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] : product(X,Y,multiply(X,Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y] : sum(X,Y,add(X,Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X] : sum(additive_inverse(X),X,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X] : sum(X,additive_inverse(X),additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,Y,U,Z,V,W] :
( ~ sum(X,Y,U)
| ~ sum(Y,Z,V)
| ~ sum(U,Z,W)
| sum(X,V,W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X,Y,Z] :
( ~ sum(X,Y,Z)
| sum(Y,X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X,Y,V1,Z,V2,V3,V4] :
( ~ product(X,Y,V1)
| ~ product(X,Z,V2)
| ~ sum(Y,Z,V3)
| ~ product(X,V3,V4)
| sum(V1,V2,V4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [Y,X,V1,Z,V2,V3,V4] :
( ~ product(Y,X,V1)
| ~ product(Z,X,V2)
| ~ sum(Y,Z,V3)
| ~ product(V3,X,V4)
| sum(V1,V2,V4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [Y,X,V1,Z,V2,V3,V4] :
( ~ product(Y,X,V1)
| ~ product(Z,X,V2)
| ~ sum(Y,Z,V3)
| ~ sum(V1,V2,V4)
| product(V3,X,V4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [X,Y,U,V] :
( ~ sum(X,Y,U)
| ~ sum(X,Y,V)
| U = V ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [X,Y,U,V] :
( ~ product(X,Y,U)
| ~ product(X,Y,V)
| U = V ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [X] : product(X,additive_identity,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [X] : product(additive_identity,X,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,hypothesis,
! [X] : product(X,X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,hypothesis,
product(a,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
~ product(b,a,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,plain,
! [X0] : sum(additive_identity,X0,X0),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f24,plain,
! [X0] : sum(X0,additive_identity,X0),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f25,plain,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f26,plain,
! [X0,X1] : sum(X0,X1,add(X0,X1)),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f27,plain,
! [X0] : sum(additive_inverse(X0),X0,additive_identity),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f28,plain,
! [X0] : sum(X0,additive_inverse(X0),additive_identity),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f29,plain,
! [X,V,W] :
( ! [U,Z] :
( ! [Y] :
( ~ sum(X,Y,U)
| ~ sum(Y,Z,V) )
| ~ sum(U,Z,W) )
| sum(X,V,W) ),
inference(miniscoping,[status(esa)],[f7]) ).
fof(f30,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sum(X0,X1,X2)
| ~ sum(X1,X3,X4)
| ~ sum(X2,X3,X5)
| sum(X0,X4,X5) ),
inference(cnf_transformation,[status(esa)],[f29]) ).
fof(f33,plain,
! [X0,X1,X2] :
( ~ sum(X0,X1,X2)
| sum(X1,X0,X2) ),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f38,plain,
! [V1,V2,V4] :
( ! [X,V3] :
( ! [Y,Z] :
( ~ product(X,Y,V1)
| ~ product(X,Z,V2)
| ~ sum(Y,Z,V3) )
| ~ product(X,V3,V4) )
| sum(V1,V2,V4) ),
inference(miniscoping,[status(esa)],[f12]) ).
fof(f39,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X4)
| ~ sum(X1,X3,X5)
| ~ product(X0,X5,X6)
| sum(X2,X4,X6) ),
inference(cnf_transformation,[status(esa)],[f38]) ).
fof(f42,plain,
! [V1,V2,V4] :
( ! [X,V3] :
( ! [Y,Z] :
( ~ product(Y,X,V1)
| ~ product(Z,X,V2)
| ~ sum(Y,Z,V3) )
| ~ product(V3,X,V4) )
| sum(V1,V2,V4) ),
inference(miniscoping,[status(esa)],[f14]) ).
fof(f43,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ product(X0,X1,X2)
| ~ product(X3,X1,X4)
| ~ sum(X0,X3,X5)
| ~ product(X5,X1,X6)
| sum(X2,X4,X6) ),
inference(cnf_transformation,[status(esa)],[f42]) ).
fof(f44,plain,
! [X,V3,V4] :
( ! [V1,V2] :
( ! [Y,Z] :
( ~ product(Y,X,V1)
| ~ product(Z,X,V2)
| ~ sum(Y,Z,V3) )
| ~ sum(V1,V2,V4) )
| product(V3,X,V4) ),
inference(miniscoping,[status(esa)],[f15]) ).
fof(f45,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ product(X0,X1,X2)
| ~ product(X3,X1,X4)
| ~ sum(X0,X3,X5)
| ~ sum(X2,X4,X6)
| product(X5,X1,X6) ),
inference(cnf_transformation,[status(esa)],[f44]) ).
fof(f46,plain,
! [U,V] :
( ! [X,Y] :
( ~ sum(X,Y,U)
| ~ sum(X,Y,V) )
| U = V ),
inference(miniscoping,[status(esa)],[f16]) ).
fof(f47,plain,
! [X0,X1,X2,X3] :
( ~ sum(X0,X1,X2)
| ~ sum(X0,X1,X3)
| X2 = X3 ),
inference(cnf_transformation,[status(esa)],[f46]) ).
fof(f48,plain,
! [U,V] :
( ! [X,Y] :
( ~ product(X,Y,U)
| ~ product(X,Y,V) )
| U = V ),
inference(miniscoping,[status(esa)],[f17]) ).
fof(f49,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X3)
| X2 = X3 ),
inference(cnf_transformation,[status(esa)],[f48]) ).
fof(f50,plain,
! [X0] : product(X0,additive_identity,additive_identity),
inference(cnf_transformation,[status(esa)],[f18]) ).
fof(f51,plain,
! [X0] : product(additive_identity,X0,additive_identity),
inference(cnf_transformation,[status(esa)],[f19]) ).
fof(f52,plain,
! [X0] : product(X0,X0,X0),
inference(cnf_transformation,[status(esa)],[f20]) ).
fof(f53,plain,
product(a,b,c),
inference(cnf_transformation,[status(esa)],[f21]) ).
fof(f54,plain,
~ product(b,a,c),
inference(cnf_transformation,[status(esa)],[f22]) ).
fof(f55,plain,
! [X0] :
( ~ product(a,b,X0)
| c = X0 ),
inference(resolution,[status(thm)],[f49,f53]) ).
fof(f87,plain,
c = multiply(a,b),
inference(resolution,[status(thm)],[f25,f55]) ).
fof(f103,plain,
! [X0,X1,X2,X3] :
( ~ sum(X0,X1,X2)
| ~ sum(additive_identity,X1,X3)
| sum(additive_inverse(X0),X2,X3) ),
inference(resolution,[status(thm)],[f30,f27]) ).
fof(f107,plain,
! [X0,X1,X2,X3,X4] :
( ~ sum(X0,X1,X2)
| ~ sum(add(X3,X0),X1,X4)
| sum(X3,X2,X4) ),
inference(resolution,[status(thm)],[f30,f26]) ).
fof(f117,plain,
! [X0,X1] : sum(X0,X1,add(X1,X0)),
inference(resolution,[status(thm)],[f33,f26]) ).
fof(f287,plain,
! [X0,X1] :
( ~ sum(additive_identity,X0,X1)
| X0 = X1 ),
inference(resolution,[status(thm)],[f47,f23]) ).
fof(f289,plain,
! [X0,X1] :
( ~ sum(X0,additive_identity,X1)
| X0 = X1 ),
inference(resolution,[status(thm)],[f47,f24]) ).
fof(f290,plain,
! [X0,X1,X2] :
( ~ sum(X0,X1,X2)
| add(X1,X0) = X2 ),
inference(resolution,[status(thm)],[f47,f117]) ).
fof(f291,plain,
! [X0,X1,X2] :
( ~ sum(X0,X1,X2)
| add(X0,X1) = X2 ),
inference(resolution,[status(thm)],[f47,f26]) ).
fof(f293,plain,
! [X0] : X0 = add(X0,additive_identity),
inference(resolution,[status(thm)],[f287,f117]) ).
fof(f326,plain,
! [X0,X1] : add(X0,X1) = add(X1,X0),
inference(resolution,[status(thm)],[f290,f26]) ).
fof(f350,plain,
! [X0,X1,X2,X3,X4] :
( ~ product(X0,X1,X2)
| ~ sum(X0,X1,X3)
| ~ product(X0,X3,X4)
| sum(X0,X2,X4) ),
inference(resolution,[status(thm)],[f39,f52]) ).
fof(f366,plain,
! [X0,X1,X2,X3,X4] :
( ~ product(X0,X1,X2)
| ~ sum(X1,X0,X3)
| ~ product(X3,X1,X4)
| sum(X1,X2,X4) ),
inference(resolution,[status(thm)],[f43,f52]) ).
fof(f579,plain,
! [X0,X1,X2,X3,X4] :
( ~ product(X0,X1,X2)
| ~ sum(X1,X0,X3)
| ~ sum(X1,X2,X4)
| product(X3,X1,X4) ),
inference(resolution,[status(thm)],[f45,f52]) ).
fof(f580,plain,
! [X0,X1] :
( ~ sum(additive_identity,X0,X1)
| sum(additive_inverse(additive_inverse(X0)),additive_identity,X1) ),
inference(resolution,[status(thm)],[f103,f27]) ).
fof(f584,plain,
! [X0,X1,X2] :
( ~ sum(additive_identity,X0,X1)
| sum(additive_inverse(X2),add(X0,X2),X1) ),
inference(resolution,[status(thm)],[f103,f117]) ).
fof(f716,plain,
! [X0,X1,X2,X3] :
( ~ sum(X0,X1,X2)
| ~ product(X0,X2,X3)
| sum(X0,multiply(X0,X1),X3) ),
inference(resolution,[status(thm)],[f350,f25]) ).
fof(f993,plain,
! [X0,X1,X2,X3] :
( ~ sum(add(X0,X1),X2,X3)
| sum(X0,add(X2,X1),X3) ),
inference(resolution,[status(thm)],[f107,f117]) ).
fof(f994,plain,
! [X0,X1,X2,X3] :
( ~ sum(add(X0,X1),X2,X3)
| sum(X0,add(X1,X2),X3) ),
inference(resolution,[status(thm)],[f107,f26]) ).
fof(f1274,plain,
! [X0,X1,X2,X3] :
( ~ sum(X0,X1,X2)
| ~ product(X2,X0,X3)
| sum(X0,multiply(X1,X0),X3) ),
inference(resolution,[status(thm)],[f366,f25]) ).
fof(f1515,plain,
! [X0,X1,X2,X3] :
( ~ sum(X0,X1,X2)
| ~ sum(X0,multiply(X1,X0),X3)
| product(X2,X0,X3) ),
inference(resolution,[status(thm)],[f579,f25]) ).
fof(f3019,plain,
! [X0] : sum(additive_inverse(additive_inverse(X0)),additive_identity,X0),
inference(resolution,[status(thm)],[f580,f23]) ).
fof(f3033,plain,
! [X0] : additive_inverse(additive_inverse(X0)) = X0,
inference(resolution,[status(thm)],[f3019,f289]) ).
fof(f3556,plain,
! [X0,X1] :
( ~ product(X0,additive_identity,X1)
| sum(X0,multiply(X0,additive_inverse(X0)),X1) ),
inference(resolution,[status(thm)],[f716,f28]) ).
fof(f3559,plain,
! [X0,X1,X2] :
( ~ product(X0,add(X1,X0),X2)
| sum(X0,multiply(X0,X1),X2) ),
inference(resolution,[status(thm)],[f716,f117]) ).
fof(f3560,plain,
! [X0,X1,X2] :
( ~ product(X0,add(X0,X1),X2)
| sum(X0,multiply(X0,X1),X2) ),
inference(resolution,[status(thm)],[f716,f26]) ).
fof(f3633,plain,
! [X0,X1] : sum(additive_inverse(X0),add(X1,X0),X1),
inference(resolution,[status(thm)],[f584,f23]) ).
fof(f3658,plain,
! [X0,X1] : add(additive_inverse(X0),add(X1,X0)) = X1,
inference(resolution,[status(thm)],[f3633,f291]) ).
fof(f4002,plain,
! [X0,X1] : add(X0,add(X1,additive_inverse(X0))) = X1,
inference(paramodulation,[status(thm)],[f3033,f3658]) ).
fof(f4005,plain,
! [X0,X1] : add(additive_inverse(add(X0,X1)),X0) = additive_inverse(X1),
inference(paramodulation,[status(thm)],[f3658,f3658]) ).
fof(f4006,plain,
! [X0,X1] : add(X0,additive_inverse(add(X0,X1))) = additive_inverse(X1),
inference(forward_demodulation,[status(thm)],[f326,f4005]) ).
fof(f4166,plain,
! [X0,X1] : add(X0,add(additive_inverse(X0),X1)) = X1,
inference(paramodulation,[status(thm)],[f326,f4002]) ).
fof(f5700,plain,
! [X0,X1,X2] : sum(X0,add(X1,X2),add(X1,add(X0,X2))),
inference(resolution,[status(thm)],[f993,f117]) ).
fof(f5745,plain,
! [X0] : sum(X0,multiply(X0,additive_inverse(X0)),additive_identity),
inference(resolution,[status(thm)],[f3556,f50]) ).
fof(f5793,plain,
! [X0] : add(X0,multiply(X0,additive_inverse(X0))) = additive_identity,
inference(resolution,[status(thm)],[f5745,f291]) ).
fof(f5906,plain,
! [X0] : add(X0,additive_identity) = multiply(additive_inverse(X0),additive_inverse(additive_inverse(X0))),
inference(paramodulation,[status(thm)],[f5793,f4166]) ).
fof(f5907,plain,
! [X0] : X0 = multiply(additive_inverse(X0),additive_inverse(additive_inverse(X0))),
inference(forward_demodulation,[status(thm)],[f293,f5906]) ).
fof(f5908,plain,
! [X0] : X0 = multiply(additive_inverse(X0),X0),
inference(forward_demodulation,[status(thm)],[f3033,f5907]) ).
fof(f6357,plain,
! [X0,X1,X2] : sum(X0,add(X1,X2),add(add(X0,X1),X2)),
inference(resolution,[status(thm)],[f994,f26]) ).
fof(f6442,plain,
! [X0,X1] :
( ~ product(additive_identity,X0,X1)
| sum(X0,multiply(additive_inverse(X0),X0),X1) ),
inference(resolution,[status(thm)],[f1274,f28]) ).
fof(f6443,plain,
! [X0,X1] :
( ~ product(additive_identity,X0,X1)
| sum(X0,X0,X1) ),
inference(forward_demodulation,[status(thm)],[f5908,f6442]) ).
fof(f6446,plain,
! [X0,X1,X2] :
( ~ product(add(X0,X1),X1,X2)
| sum(X1,multiply(X0,X1),X2) ),
inference(resolution,[status(thm)],[f1274,f117]) ).
fof(f6447,plain,
! [X0,X1,X2] :
( ~ product(add(X0,X1),X0,X2)
| sum(X0,multiply(X1,X0),X2) ),
inference(resolution,[status(thm)],[f1274,f26]) ).
fof(f6469,plain,
! [X0] : sum(X0,X0,additive_identity),
inference(resolution,[status(thm)],[f6443,f51]) ).
fof(f6546,plain,
! [X0] : add(X0,X0) = additive_identity,
inference(resolution,[status(thm)],[f6469,f291]) ).
fof(f6641,plain,
! [X0] : add(X0,additive_identity) = additive_inverse(X0),
inference(paramodulation,[status(thm)],[f6546,f4166]) ).
fof(f6642,plain,
! [X0] : X0 = additive_inverse(X0),
inference(forward_demodulation,[status(thm)],[f293,f6641]) ).
fof(f6727,plain,
! [X0,X1] : add(X0,add(X0,X1)) = additive_inverse(X1),
inference(backward_demodulation,[status(thm)],[f6642,f4006]) ).
fof(f6728,plain,
! [X0,X1] : add(X0,add(X0,X1)) = X1,
inference(forward_demodulation,[status(thm)],[f6642,f6727]) ).
fof(f6754,plain,
! [X0,X1] : add(X0,add(X1,X0)) = X1,
inference(backward_demodulation,[status(thm)],[f6642,f4002]) ).
fof(f7327,plain,
! [X0,X1,X2] :
( ~ sum(X0,multiply(X1,X0),X2)
| product(add(X0,X1),X0,X2) ),
inference(resolution,[status(thm)],[f1515,f26]) ).
fof(f9562,plain,
! [X0,X1,X2] : add(add(X0,X1),X2) = add(X0,add(X2,X1)),
inference(resolution,[status(thm)],[f5700,f290]) ).
fof(f10016,plain,
! [X0,X1,X2] : add(X0,add(X1,X2)) = add(add(X0,X1),X2),
inference(resolution,[status(thm)],[f6357,f291]) ).
fof(f18785,plain,
! [X0,X1,X2] : add(X0,add(X1,X2)) = add(X0,add(X2,X1)),
inference(forward_demodulation,[status(thm)],[f9562,f10016]) ).
fof(f24158,plain,
! [X0,X1] : sum(X0,multiply(X0,X1),multiply(X0,add(X1,X0))),
inference(resolution,[status(thm)],[f3559,f25]) ).
fof(f24184,plain,
! [X0,X1] : sum(X0,multiply(X0,X1),multiply(X0,add(X0,X1))),
inference(resolution,[status(thm)],[f3560,f25]) ).
fof(f25996,plain,
! [X0,X1] : sum(X0,multiply(X1,X0),multiply(add(X1,X0),X0)),
inference(resolution,[status(thm)],[f6446,f25]) ).
fof(f26386,plain,
! [X0,X1] : sum(X0,multiply(X1,X0),multiply(add(X0,X1),X0)),
inference(resolution,[status(thm)],[f6447,f25]) ).
fof(f26500,plain,
! [X0,X1] : product(add(X0,X1),X0,add(multiply(X1,X0),X0)),
inference(resolution,[status(thm)],[f7327,f117]) ).
fof(f26501,plain,
! [X0,X1] : product(add(X0,X1),X0,add(X0,multiply(X1,X0))),
inference(forward_demodulation,[status(thm)],[f326,f26500]) ).
fof(f27687,plain,
! [X0,X1] : add(X0,multiply(X0,X1)) = multiply(X0,add(X1,X0)),
inference(resolution,[status(thm)],[f24158,f291]) ).
fof(f27889,plain,
! [X0,X1] : add(X0,multiply(X0,X1)) = multiply(X0,add(X0,X1)),
inference(resolution,[status(thm)],[f24184,f291]) ).
fof(f28647,plain,
! [X0,X1] : add(X0,multiply(X1,X0)) = multiply(add(X1,X0),X0),
inference(resolution,[status(thm)],[f25996,f291]) ).
fof(f28847,plain,
! [X0,X1] : add(X0,multiply(X1,X0)) = multiply(add(X0,X1),X0),
inference(resolution,[status(thm)],[f26386,f291]) ).
fof(f31535,plain,
! [X0,X1] : multiply(X0,add(X1,X0)) = multiply(X0,add(X0,X1)),
inference(forward_demodulation,[status(thm)],[f27687,f27889]) ).
fof(f31625,plain,
! [X0,X1] : product(add(add(X0,X1),X1),add(X0,X1),add(add(X0,X1),multiply(X1,add(X1,X0)))),
inference(paramodulation,[status(thm)],[f31535,f26501]) ).
fof(f31626,plain,
! [X0,X1] : product(add(X0,add(X1,X1)),add(X0,X1),add(add(X0,X1),multiply(X1,add(X1,X0)))),
inference(forward_demodulation,[status(thm)],[f9562,f31625]) ).
fof(f31627,plain,
! [X0,X1] : product(add(X0,additive_identity),add(X0,X1),add(add(X0,X1),multiply(X1,add(X1,X0)))),
inference(forward_demodulation,[status(thm)],[f6546,f31626]) ).
fof(f31628,plain,
! [X0,X1] : product(X0,add(X0,X1),add(add(X0,X1),multiply(X1,add(X1,X0)))),
inference(forward_demodulation,[status(thm)],[f293,f31627]) ).
fof(f31629,plain,
! [X0,X1] : product(X0,add(X0,X1),add(X0,add(multiply(X1,add(X1,X0)),X1))),
inference(forward_demodulation,[status(thm)],[f9562,f31628]) ).
fof(f31630,plain,
! [X0,X1] : product(X0,add(X0,X1),add(X0,add(X1,multiply(X1,add(X1,X0))))),
inference(forward_demodulation,[status(thm)],[f18785,f31629]) ).
fof(f31631,plain,
! [X0,X1] : product(X0,add(X0,X1),add(X0,multiply(X1,add(add(X1,X0),X1)))),
inference(forward_demodulation,[status(thm)],[f27687,f31630]) ).
fof(f31632,plain,
! [X0,X1] : product(X0,add(X0,X1),add(X0,multiply(X1,add(X1,add(X1,X0))))),
inference(forward_demodulation,[status(thm)],[f31535,f31631]) ).
fof(f31633,plain,
! [X0,X1] : product(X0,add(X0,X1),add(X0,multiply(X1,X0))),
inference(forward_demodulation,[status(thm)],[f6728,f31632]) ).
fof(f33088,plain,
! [X0,X1] : multiply(add(X0,X1),X1) = multiply(add(X1,X0),X1),
inference(forward_demodulation,[status(thm)],[f28647,f28847]) ).
fof(f35777,plain,
! [X0,X1] : product(X0,add(X0,X1),multiply(add(X1,X0),X0)),
inference(forward_demodulation,[status(thm)],[f28647,f31633]) ).
fof(f35918,plain,
! [X0,X1] : product(X0,X1,multiply(add(add(X1,X0),X0),X0)),
inference(paramodulation,[status(thm)],[f6754,f35777]) ).
fof(f35919,plain,
! [X0,X1] : product(X0,X1,multiply(add(X0,add(X1,X0)),X0)),
inference(forward_demodulation,[status(thm)],[f33088,f35918]) ).
fof(f35920,plain,
! [X0,X1] : product(X0,X1,multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f6754,f35919]) ).
fof(f36179,plain,
product(b,a,c),
inference(paramodulation,[status(thm)],[f87,f35920]) ).
fof(f36180,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f36179,f54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG008-6 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Apr 29 22:14:56 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Drodi V3.6.0
% 18.99/2.79 % Refutation found
% 18.99/2.79 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 18.99/2.79 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 19.63/2.85 % Elapsed time: 2.485605 seconds
% 19.63/2.85 % CPU time: 19.594482 seconds
% 19.63/2.85 % Total memory used: 223.214 MB
% 19.63/2.85 % Net memory used: 206.423 MB
%------------------------------------------------------------------------------