TSTP Solution File: GRP048-10 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP048-10 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n026.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 20:18:54 EDT 2024
% Result : Unsatisfiable 22.13s 3.18s
% Output : CNFRefutation 22.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 10
% Syntax : Number of formulae : 97 ( 97 unt; 0 def)
% Number of atoms : 97 ( 96 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-4 aty)
% Number of variables : 180 ( 180 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : ifeq(A,A,B,C) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X] : product(identity,X,X) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X] : product(inverse(X),X,identity) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y] : product(X,Y,multiply(X,Y)) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y,W,Z] : ifeq(product(X,Y,W),true,ifeq(product(X,Y,Z),true,equalish(Z,W),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [U,Z,W,Y,V,X] : ifeq(product(U,Z,W),true,ifeq(product(Y,Z,V),true,ifeq(product(X,Y,U),true,product(X,V,W),true),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [Y,Z,V,X,W,U] : ifeq(product(Y,Z,V),true,ifeq(product(X,V,W),true,ifeq(product(X,Y,U),true,product(U,Z,W),true),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,Y,W,Z] : ifeq(equalish(X,Y),true,ifeq(product(W,Z,X),true,product(W,Z,Y),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,hypothesis,
equalish(a,b) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
equalish(inverse(a),inverse(b)) != true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,plain,
! [X0,X1,X2] : ifeq(X0,X0,X1,X2) = X1,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f12,plain,
! [X0] : product(identity,X0,X0) = true,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f13,plain,
! [X0] : product(inverse(X0),X0,identity) = true,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f14,plain,
! [X0,X1] : product(X0,X1,multiply(X0,X1)) = true,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f15,plain,
! [X0,X1,X2,X3] : ifeq(product(X0,X1,X2),true,ifeq(product(X0,X1,X3),true,equalish(X3,X2),true),true) = true,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f16,plain,
! [X0,X1,X2,X3,X4,X5] : ifeq(product(X0,X1,X2),true,ifeq(product(X3,X1,X4),true,ifeq(product(X5,X3,X0),true,product(X5,X4,X2),true),true),true) = true,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f17,plain,
! [X0,X1,X2,X3,X4,X5] : ifeq(product(X0,X1,X2),true,ifeq(product(X3,X2,X4),true,ifeq(product(X3,X0,X5),true,product(X5,X1,X4),true),true),true) = true,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f18,plain,
! [X0,X1,X2,X3] : ifeq(equalish(X0,X1),true,ifeq(product(X2,X3,X0),true,product(X2,X3,X1),true),true) = true,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f19,plain,
equalish(a,b) = true,
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f20,plain,
equalish(inverse(a),inverse(b)) != true,
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f21,plain,
! [X0,X1] : ifeq(true,true,ifeq(product(inverse(X0),X0,X1),true,equalish(X1,identity),true),true) = true,
inference(paramodulation,[status(thm)],[f13,f15]) ).
fof(f22,plain,
! [X0,X1] : ifeq(product(inverse(X0),X0,X1),true,equalish(X1,identity),true) = true,
inference(forward_demodulation,[status(thm)],[f11,f21]) ).
fof(f23,plain,
! [X0,X1] : ifeq(true,true,ifeq(product(identity,X0,X1),true,equalish(X1,X0),true),true) = true,
inference(paramodulation,[status(thm)],[f12,f15]) ).
fof(f24,plain,
! [X0,X1] : ifeq(product(identity,X0,X1),true,equalish(X1,X0),true) = true,
inference(forward_demodulation,[status(thm)],[f11,f23]) ).
fof(f27,plain,
! [X0,X1] : ifeq(product(inverse(X0),X0,X1),true,ifeq(true,true,equalish(identity,X1),true),true) = true,
inference(paramodulation,[status(thm)],[f13,f15]) ).
fof(f28,plain,
! [X0,X1] : ifeq(product(inverse(X0),X0,X1),true,equalish(identity,X1),true) = true,
inference(forward_demodulation,[status(thm)],[f11,f27]) ).
fof(f29,plain,
! [X0,X1] : ifeq(product(identity,X0,X1),true,ifeq(true,true,equalish(X0,X1),true),true) = true,
inference(paramodulation,[status(thm)],[f12,f15]) ).
fof(f30,plain,
! [X0,X1] : ifeq(product(identity,X0,X1),true,equalish(X0,X1),true) = true,
inference(forward_demodulation,[status(thm)],[f11,f29]) ).
fof(f51,plain,
! [X0,X1,X2,X3] : ifeq(true,true,ifeq(product(X0,X1,X2),true,ifeq(product(X3,X0,identity),true,product(X3,X2,X1),true),true),true) = true,
inference(paramodulation,[status(thm)],[f12,f16]) ).
fof(f52,plain,
! [X0,X1,X2,X3] : ifeq(product(X0,X1,X2),true,ifeq(product(X3,X0,identity),true,product(X3,X2,X1),true),true) = true,
inference(forward_demodulation,[status(thm)],[f11,f51]) ).
fof(f65,plain,
! [X0,X1,X2,X3,X4] : ifeq(product(multiply(X0,X1),X2,X3),true,ifeq(product(X1,X2,X4),true,ifeq(true,true,product(X0,X4,X3),true),true),true) = true,
inference(paramodulation,[status(thm)],[f14,f16]) ).
fof(f66,plain,
! [X0,X1,X2,X3,X4] : ifeq(product(multiply(X0,X1),X2,X3),true,ifeq(product(X1,X2,X4),true,product(X0,X4,X3),true),true) = true,
inference(forward_demodulation,[status(thm)],[f11,f65]) ).
fof(f90,plain,
! [X0,X1,X2,X3] : ifeq(true,true,ifeq(product(X0,identity,X1),true,ifeq(product(X0,inverse(X2),X3),true,product(X3,X2,X1),true),true),true) = true,
inference(paramodulation,[status(thm)],[f13,f17]) ).
fof(f91,plain,
! [X0,X1,X2,X3] : ifeq(product(X0,identity,X1),true,ifeq(product(X0,inverse(X2),X3),true,product(X3,X2,X1),true),true) = true,
inference(forward_demodulation,[status(thm)],[f11,f90]) ).
fof(f94,plain,
! [X0,X1,X2,X3,X4] : ifeq(true,true,ifeq(product(X0,multiply(X1,X2),X3),true,ifeq(product(X0,X1,X4),true,product(X4,X2,X3),true),true),true) = true,
inference(paramodulation,[status(thm)],[f14,f17]) ).
fof(f95,plain,
! [X0,X1,X2,X3,X4] : ifeq(product(X0,multiply(X1,X2),X3),true,ifeq(product(X0,X1,X4),true,product(X4,X2,X3),true),true) = true,
inference(forward_demodulation,[status(thm)],[f11,f94]) ).
fof(f153,plain,
! [X0,X1] : ifeq(true,true,ifeq(product(X0,X1,a),true,product(X0,X1,b),true),true) = true,
inference(paramodulation,[status(thm)],[f19,f18]) ).
fof(f154,plain,
! [X0,X1] : ifeq(product(X0,X1,a),true,product(X0,X1,b),true) = true,
inference(forward_demodulation,[status(thm)],[f11,f153]) ).
fof(f159,plain,
! [X0,X1] : ifeq(equalish(identity,X0),true,ifeq(true,true,product(inverse(X1),X1,X0),true),true) = true,
inference(paramodulation,[status(thm)],[f13,f18]) ).
fof(f160,plain,
! [X0,X1] : ifeq(equalish(identity,X0),true,product(inverse(X1),X1,X0),true) = true,
inference(forward_demodulation,[status(thm)],[f11,f159]) ).
fof(f163,plain,
! [X0,X1,X2] : ifeq(equalish(multiply(X0,X1),X2),true,ifeq(true,true,product(X0,X1,X2),true),true) = true,
inference(paramodulation,[status(thm)],[f14,f18]) ).
fof(f164,plain,
! [X0,X1,X2] : ifeq(equalish(multiply(X0,X1),X2),true,product(X0,X1,X2),true) = true,
inference(forward_demodulation,[status(thm)],[f11,f163]) ).
fof(f184,plain,
ifeq(true,true,product(identity,a,b),true) = true,
inference(paramodulation,[status(thm)],[f12,f154]) ).
fof(f185,plain,
product(identity,a,b) = true,
inference(forward_demodulation,[status(thm)],[f11,f184]) ).
fof(f239,plain,
ifeq(true,true,equalish(b,a),true) = true,
inference(paramodulation,[status(thm)],[f185,f24]) ).
fof(f240,plain,
equalish(b,a) = true,
inference(forward_demodulation,[status(thm)],[f11,f239]) ).
fof(f288,plain,
! [X0,X1] : ifeq(true,true,ifeq(product(X0,X1,b),true,product(X0,X1,a),true),true) = true,
inference(paramodulation,[status(thm)],[f240,f18]) ).
fof(f289,plain,
! [X0,X1] : ifeq(product(X0,X1,b),true,product(X0,X1,a),true) = true,
inference(forward_demodulation,[status(thm)],[f11,f288]) ).
fof(f544,plain,
! [X0,X1] : ifeq(true,true,ifeq(product(X0,inverse(X1),identity),true,product(X0,identity,X1),true),true) = true,
inference(paramodulation,[status(thm)],[f13,f52]) ).
fof(f545,plain,
! [X0,X1] : ifeq(product(X0,inverse(X1),identity),true,product(X0,identity,X1),true) = true,
inference(forward_demodulation,[status(thm)],[f11,f544]) ).
fof(f555,plain,
! [X0,X1,X2] : ifeq(product(X0,X1,X2),true,ifeq(true,true,product(inverse(X0),X2,X1),true),true) = true,
inference(paramodulation,[status(thm)],[f13,f52]) ).
fof(f556,plain,
! [X0,X1,X2] : ifeq(product(X0,X1,X2),true,product(inverse(X0),X2,X1),true) = true,
inference(forward_demodulation,[status(thm)],[f11,f555]) ).
fof(f580,plain,
! [X0] : ifeq(true,true,product(inverse(identity),X0,X0),true) = true,
inference(paramodulation,[status(thm)],[f12,f556]) ).
fof(f581,plain,
! [X0] : product(inverse(identity),X0,X0) = true,
inference(forward_demodulation,[status(thm)],[f11,f580]) ).
fof(f582,plain,
! [X0,X1] : ifeq(true,true,product(inverse(X0),multiply(X0,X1),X1),true) = true,
inference(paramodulation,[status(thm)],[f14,f556]) ).
fof(f583,plain,
! [X0,X1] : product(inverse(X0),multiply(X0,X1),X1) = true,
inference(forward_demodulation,[status(thm)],[f11,f582]) ).
fof(f617,plain,
! [X0] : ifeq(true,true,product(inverse(inverse(identity)),X0,X0),true) = true,
inference(paramodulation,[status(thm)],[f581,f556]) ).
fof(f618,plain,
! [X0] : product(inverse(inverse(identity)),X0,X0) = true,
inference(forward_demodulation,[status(thm)],[f11,f617]) ).
fof(f739,plain,
! [X0] : ifeq(true,true,product(inverse(X0),multiply(X0,b),a),true) = true,
inference(paramodulation,[status(thm)],[f583,f289]) ).
fof(f740,plain,
! [X0] : product(inverse(X0),multiply(X0,b),a) = true,
inference(forward_demodulation,[status(thm)],[f11,f739]) ).
fof(f744,plain,
! [X0,X1] : ifeq(true,true,product(inverse(inverse(X0)),X1,multiply(X0,X1)),true) = true,
inference(paramodulation,[status(thm)],[f583,f556]) ).
fof(f745,plain,
! [X0,X1] : product(inverse(inverse(X0)),X1,multiply(X0,X1)) = true,
inference(forward_demodulation,[status(thm)],[f11,f744]) ).
fof(f797,plain,
ifeq(true,true,equalish(identity,inverse(identity)),true) = true,
inference(paramodulation,[status(thm)],[f618,f28]) ).
fof(f798,plain,
equalish(identity,inverse(identity)) = true,
inference(forward_demodulation,[status(thm)],[f11,f797]) ).
fof(f983,plain,
! [X0] : ifeq(true,true,equalish(multiply(X0,inverse(X0)),identity),true) = true,
inference(paramodulation,[status(thm)],[f745,f22]) ).
fof(f984,plain,
! [X0] : equalish(multiply(X0,inverse(X0)),identity) = true,
inference(forward_demodulation,[status(thm)],[f11,f983]) ).
fof(f1388,plain,
! [X0] : ifeq(true,true,product(inverse(X0),X0,inverse(identity)),true) = true,
inference(paramodulation,[status(thm)],[f798,f160]) ).
fof(f1389,plain,
! [X0] : product(inverse(X0),X0,inverse(identity)) = true,
inference(forward_demodulation,[status(thm)],[f11,f1388]) ).
fof(f1417,plain,
! [X0] : ifeq(true,true,product(inverse(inverse(X0)),inverse(identity),X0),true) = true,
inference(paramodulation,[status(thm)],[f1389,f556]) ).
fof(f1418,plain,
! [X0] : product(inverse(inverse(X0)),inverse(identity),X0) = true,
inference(forward_demodulation,[status(thm)],[f11,f1417]) ).
fof(f6197,plain,
! [X0,X1] : ifeq(true,true,ifeq(product(inverse(X0),X0,X1),true,product(X1,b,a),true),true) = true,
inference(paramodulation,[status(thm)],[f740,f95]) ).
fof(f6198,plain,
! [X0,X1] : ifeq(product(inverse(X0),X0,X1),true,product(X1,b,a),true) = true,
inference(forward_demodulation,[status(thm)],[f11,f6197]) ).
fof(f6403,plain,
! [X0] : ifeq(true,true,product(multiply(X0,inverse(X0)),b,a),true) = true,
inference(paramodulation,[status(thm)],[f745,f6198]) ).
fof(f6404,plain,
! [X0] : product(multiply(X0,inverse(X0)),b,a) = true,
inference(forward_demodulation,[status(thm)],[f11,f6403]) ).
fof(f11372,plain,
! [X0,X1] : ifeq(true,true,ifeq(product(inverse(X0),b,X1),true,product(X0,X1,a),true),true) = true,
inference(paramodulation,[status(thm)],[f6404,f66]) ).
fof(f11373,plain,
! [X0,X1] : ifeq(product(inverse(X0),b,X1),true,product(X0,X1,a),true) = true,
inference(forward_demodulation,[status(thm)],[f11,f11372]) ).
fof(f11560,plain,
ifeq(true,true,product(b,identity,a),true) = true,
inference(paramodulation,[status(thm)],[f13,f11373]) ).
fof(f11561,plain,
product(b,identity,a) = true,
inference(forward_demodulation,[status(thm)],[f11,f11560]) ).
fof(f11701,plain,
ifeq(true,true,product(inverse(b),a,identity),true) = true,
inference(paramodulation,[status(thm)],[f11561,f556]) ).
fof(f11702,plain,
product(inverse(b),a,identity) = true,
inference(forward_demodulation,[status(thm)],[f11,f11701]) ).
fof(f12690,plain,
! [X0] : ifeq(true,true,product(X0,inverse(X0),identity),true) = true,
inference(paramodulation,[status(thm)],[f984,f164]) ).
fof(f12691,plain,
! [X0] : product(X0,inverse(X0),identity) = true,
inference(forward_demodulation,[status(thm)],[f11,f12690]) ).
fof(f15472,plain,
! [X0,X1] : ifeq(product(a,X0,X1),true,ifeq(true,true,product(inverse(b),X1,X0),true),true) = true,
inference(paramodulation,[status(thm)],[f11702,f52]) ).
fof(f15473,plain,
! [X0,X1] : ifeq(product(a,X0,X1),true,product(inverse(b),X1,X0),true) = true,
inference(forward_demodulation,[status(thm)],[f11,f15472]) ).
fof(f21789,plain,
! [X0] : ifeq(true,true,product(X0,identity,X0),true) = true,
inference(paramodulation,[status(thm)],[f12691,f545]) ).
fof(f21790,plain,
! [X0] : product(X0,identity,X0) = true,
inference(forward_demodulation,[status(thm)],[f11,f21789]) ).
fof(f21961,plain,
! [X0,X1,X2] : ifeq(true,true,ifeq(product(X0,inverse(X1),X2),true,product(X2,X1,X0),true),true) = true,
inference(paramodulation,[status(thm)],[f21790,f91]) ).
fof(f21962,plain,
! [X0,X1,X2] : ifeq(product(X0,inverse(X1),X2),true,product(X2,X1,X0),true) = true,
inference(forward_demodulation,[status(thm)],[f11,f21961]) ).
fof(f23271,plain,
! [X0] : ifeq(true,true,product(X0,identity,inverse(inverse(X0))),true) = true,
inference(paramodulation,[status(thm)],[f1418,f21962]) ).
fof(f23272,plain,
! [X0] : product(X0,identity,inverse(inverse(X0))) = true,
inference(forward_demodulation,[status(thm)],[f11,f23271]) ).
fof(f23821,plain,
ifeq(true,true,product(inverse(b),inverse(inverse(a)),identity),true) = true,
inference(paramodulation,[status(thm)],[f23272,f15473]) ).
fof(f23822,plain,
product(inverse(b),inverse(inverse(a)),identity) = true,
inference(forward_demodulation,[status(thm)],[f11,f23821]) ).
fof(f26850,plain,
ifeq(true,true,product(identity,inverse(a),inverse(b)),true) = true,
inference(paramodulation,[status(thm)],[f23822,f21962]) ).
fof(f26851,plain,
product(identity,inverse(a),inverse(b)) = true,
inference(forward_demodulation,[status(thm)],[f11,f26850]) ).
fof(f27173,plain,
ifeq(true,true,equalish(inverse(a),inverse(b)),true) = true,
inference(paramodulation,[status(thm)],[f26851,f30]) ).
fof(f27174,plain,
equalish(inverse(a),inverse(b)) = true,
inference(forward_demodulation,[status(thm)],[f11,f27173]) ).
fof(f27175,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f27174,f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP048-10 : TPTP v8.1.2. Released v7.5.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n026.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 Apr 30 00:36:49 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 22.13/3.18 % Refutation found
% 22.13/3.18 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 22.13/3.18 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 23.48/3.34 % Elapsed time: 2.970884 seconds
% 23.48/3.34 % CPU time: 23.149909 seconds
% 23.48/3.34 % Total memory used: 628.990 MB
% 23.48/3.34 % Net memory used: 615.845 MB
%------------------------------------------------------------------------------