TSTP Solution File: GRP767-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP767-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n004.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 12:12:39 EDT 2023
% Result : Unsatisfiable 7.37s 1.40s
% Output : CNFRefutation 7.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 16
% Syntax : Number of formulae : 107 ( 107 unt; 0 def)
% Number of atoms : 107 ( 106 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-3 aty)
% Number of variables : 156 (; 156 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A] : product(A,one) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B] : product(A,difference(A,B)) = B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B] : difference(A,product(A,B)) = B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A,B] : quotient(product(A,B),B) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A,B] : product(quotient(A,B),B) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [A,B,C] : difference(A,product(product(A,B),C)) = quotient(product(B,product(C,A)),A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [A] : i(A) = difference(A,one),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [A] : j(A) = quotient(one,A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [A] : product(i(A),A) = product(A,j(A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [A] : eta(A) = product(i(A),A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [A,B] : product(i(i(A)),B) = product(eta(A),product(A,B)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [A,B] : product(A,product(eta(A),B)) = product(j(j(A)),B),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [A,B,C] : product(eta(A),product(B,C)) = product(product(eta(A),B),C),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [A,B,C] : l(A,B,C) = difference(product(A,B),product(A,product(B,C))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [A,B] : t(A,B) = quotient(product(A,B),A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
product(j(j(x0)),j(product(x1,x0))) != j(x1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,plain,
! [X0] : product(X0,one) = X0,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f24,plain,
! [X0,X1] : product(X0,difference(X0,X1)) = X1,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f25,plain,
! [X0,X1] : difference(X0,product(X0,X1)) = X1,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f26,plain,
! [X0,X1] : quotient(product(X0,X1),X1) = X0,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f27,plain,
! [X0,X1] : product(quotient(X0,X1),X1) = X0,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f28,plain,
! [X0,X1,X2] : difference(X0,product(product(X0,X1),X2)) = quotient(product(X1,product(X2,X0)),X0),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f30,plain,
! [X0] : i(X0) = difference(X0,one),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f31,plain,
! [X0] : j(X0) = quotient(one,X0),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f32,plain,
! [X0] : product(i(X0),X0) = product(X0,j(X0)),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f33,plain,
! [X0] : eta(X0) = product(i(X0),X0),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f34,plain,
! [X0,X1] : product(i(i(X0)),X1) = product(eta(X0),product(X0,X1)),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f35,plain,
! [X0,X1] : product(X0,product(eta(X0),X1)) = product(j(j(X0)),X1),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f37,plain,
! [X0,X1,X2] : product(eta(X0),product(X1,X2)) = product(product(eta(X0),X1),X2),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f38,plain,
! [X0,X1,X2] : l(X0,X1,X2) = difference(product(X0,X1),product(X0,product(X1,X2))),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f40,plain,
! [X0,X1] : t(X0,X1) = quotient(product(X0,X1),X0),
inference(cnf_transformation,[status(esa)],[f19]) ).
fof(f42,plain,
product(j(j(x0)),j(product(x1,x0))) != j(x1),
inference(cnf_transformation,[status(esa)],[f21]) ).
fof(f44,plain,
! [X0] : eta(X0) = product(X0,j(X0)),
inference(forward_demodulation,[status(thm)],[f32,f33]) ).
fof(f54,plain,
! [X0] : product(X0,eta(X0)) = product(j(j(X0)),one),
inference(paramodulation,[status(thm)],[f22,f35]) ).
fof(f55,plain,
! [X0] : product(X0,eta(X0)) = j(j(X0)),
inference(forward_demodulation,[status(thm)],[f22,f54]) ).
fof(f82,plain,
! [X0] : product(j(X0),X0) = one,
inference(paramodulation,[status(thm)],[f31,f27]) ).
fof(f151,plain,
! [X0] : product(X0,i(X0)) = one,
inference(paramodulation,[status(thm)],[f30,f24]) ).
fof(f197,plain,
! [X0] : quotient(eta(X0),j(X0)) = X0,
inference(paramodulation,[status(thm)],[f44,f26]) ).
fof(f198,plain,
! [X0] : quotient(one,i(X0)) = X0,
inference(paramodulation,[status(thm)],[f151,f26]) ).
fof(f199,plain,
! [X0] : j(i(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f31,f198]) ).
fof(f200,plain,
! [X0,X1] : quotient(X0,difference(X1,X0)) = X1,
inference(paramodulation,[status(thm)],[f24,f26]) ).
fof(f209,plain,
! [X0] : eta(i(X0)) = product(i(X0),X0),
inference(paramodulation,[status(thm)],[f199,f44]) ).
fof(f225,plain,
! [X0] : quotient(eta(i(X0)),X0) = i(X0),
inference(paramodulation,[status(thm)],[f199,f197]) ).
fof(f251,plain,
! [X0,X1] : difference(quotient(X0,X1),X0) = X1,
inference(paramodulation,[status(thm)],[f27,f25]) ).
fof(f258,plain,
! [X0] : difference(j(X0),one) = X0,
inference(paramodulation,[status(thm)],[f82,f25]) ).
fof(f259,plain,
! [X0] : i(j(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f30,f258]) ).
fof(f262,plain,
! [X0] : difference(X0,j(j(X0))) = eta(X0),
inference(paramodulation,[status(thm)],[f55,f25]) ).
fof(f264,plain,
! [X0,X1] : difference(X0,product(j(j(X0)),X1)) = product(eta(X0),X1),
inference(paramodulation,[status(thm)],[f35,f25]) ).
fof(f325,plain,
! [X0,X1,X2] : product(difference(X0,product(product(X0,X1),X2)),X0) = product(X1,product(X2,X0)),
inference(paramodulation,[status(thm)],[f28,f27]) ).
fof(f356,plain,
! [X0] : product(i(i(X0)),i(X0)) = product(eta(X0),one),
inference(paramodulation,[status(thm)],[f151,f34]) ).
fof(f357,plain,
! [X0] : eta(i(i(X0))) = product(eta(X0),one),
inference(forward_demodulation,[status(thm)],[f209,f356]) ).
fof(f358,plain,
! [X0] : eta(i(i(X0))) = eta(X0),
inference(forward_demodulation,[status(thm)],[f22,f357]) ).
fof(f360,plain,
! [X0] : product(i(i(X0)),eta(X0)) = product(eta(X0),j(j(X0))),
inference(paramodulation,[status(thm)],[f55,f34]) ).
fof(f361,plain,
! [X0] : product(i(i(X0)),one) = product(eta(X0),X0),
inference(paramodulation,[status(thm)],[f22,f34]) ).
fof(f362,plain,
! [X0] : i(i(X0)) = product(eta(X0),X0),
inference(forward_demodulation,[status(thm)],[f22,f361]) ).
fof(f431,plain,
! [X0] : difference(i(X0),j(X0)) = eta(i(X0)),
inference(paramodulation,[status(thm)],[f199,f262]) ).
fof(f447,plain,
! [X0] : difference(i(i(X0)),X0) = eta(i(i(X0))),
inference(paramodulation,[status(thm)],[f199,f431]) ).
fof(f448,plain,
! [X0] : difference(i(i(X0)),X0) = eta(X0),
inference(forward_demodulation,[status(thm)],[f358,f447]) ).
fof(f471,plain,
! [X0] : quotient(X0,eta(X0)) = i(i(X0)),
inference(paramodulation,[status(thm)],[f448,f200]) ).
fof(f472,plain,
! [X0] : product(i(i(X0)),eta(X0)) = X0,
inference(paramodulation,[status(thm)],[f448,f24]) ).
fof(f473,plain,
! [X0] : product(eta(X0),j(j(X0))) = X0,
inference(forward_demodulation,[status(thm)],[f360,f472]) ).
fof(f570,plain,
! [X0] : product(eta(i(X0)),j(X0)) = i(X0),
inference(paramodulation,[status(thm)],[f199,f473]) ).
fof(f584,plain,
! [X0] : quotient(X0,j(j(X0))) = eta(X0),
inference(paramodulation,[status(thm)],[f473,f26]) ).
fof(f590,plain,
! [X0] : quotient(i(X0),j(X0)) = eta(i(X0)),
inference(paramodulation,[status(thm)],[f199,f584]) ).
fof(f793,plain,
! [X0] : difference(X0,one) = product(eta(X0),j(X0)),
inference(paramodulation,[status(thm)],[f82,f264]) ).
fof(f794,plain,
! [X0] : i(X0) = product(eta(X0),j(X0)),
inference(forward_demodulation,[status(thm)],[f30,f793]) ).
fof(f844,plain,
! [X0] : t(eta(i(X0)),j(X0)) = quotient(i(X0),eta(i(X0))),
inference(paramodulation,[status(thm)],[f570,f40]) ).
fof(f845,plain,
! [X0] : t(eta(i(X0)),j(X0)) = i(i(i(X0))),
inference(forward_demodulation,[status(thm)],[f471,f844]) ).
fof(f871,plain,
! [X0,X1] : t(X0,product(eta(X0),X1)) = quotient(product(j(j(X0)),X1),X0),
inference(paramodulation,[status(thm)],[f35,f40]) ).
fof(f931,plain,
! [X0] : t(eta(X0),X0) = quotient(i(i(X0)),eta(X0)),
inference(paramodulation,[status(thm)],[f362,f40]) ).
fof(f959,plain,
! [X0] : t(eta(X0),j(X0)) = quotient(i(X0),eta(X0)),
inference(paramodulation,[status(thm)],[f794,f40]) ).
fof(f965,plain,
! [X0] : quotient(i(X0),j(X0)) = eta(X0),
inference(paramodulation,[status(thm)],[f794,f26]) ).
fof(f966,plain,
! [X0] : eta(i(X0)) = eta(X0),
inference(forward_demodulation,[status(thm)],[f590,f965]) ).
fof(f977,plain,
! [X0] : quotient(eta(X0),X0) = i(X0),
inference(backward_demodulation,[status(thm)],[f966,f225]) ).
fof(f1008,plain,
! [X0] : t(eta(X0),j(X0)) = i(i(i(X0))),
inference(backward_demodulation,[status(thm)],[f966,f845]) ).
fof(f1009,plain,
! [X0] : quotient(i(X0),eta(X0)) = i(i(i(X0))),
inference(forward_demodulation,[status(thm)],[f959,f1008]) ).
fof(f1045,plain,
! [X0] : product(i(X0),X0) = eta(X0),
inference(paramodulation,[status(thm)],[f977,f27]) ).
fof(f1179,plain,
! [X0,X1,X2] : difference(product(eta(X0),X1),product(eta(X0),product(X1,X2))) = X2,
inference(paramodulation,[status(thm)],[f37,f25]) ).
fof(f1180,plain,
! [X0,X1,X2] : l(eta(X0),X1,X2) = X2,
inference(forward_demodulation,[status(thm)],[f38,f1179]) ).
fof(f1278,plain,
! [X0,X1] : l(X0,X1,i(X1)) = difference(product(X0,X1),product(X0,one)),
inference(paramodulation,[status(thm)],[f151,f38]) ).
fof(f1279,plain,
! [X0,X1] : l(X0,X1,i(X1)) = difference(product(X0,X1),X0),
inference(forward_demodulation,[status(thm)],[f22,f1278]) ).
fof(f2094,plain,
! [X0,X1] : i(X0) = difference(product(eta(X1),X0),eta(X1)),
inference(paramodulation,[status(thm)],[f1180,f1279]) ).
fof(f3442,plain,
! [X0] : t(X0,product(eta(X0),X0)) = j(j(X0)),
inference(paramodulation,[status(thm)],[f26,f871]) ).
fof(f3443,plain,
! [X0] : t(X0,i(i(X0))) = j(j(X0)),
inference(forward_demodulation,[status(thm)],[f362,f3442]) ).
fof(f3885,plain,
! [X0,X1] : quotient(eta(X0),i(X1)) = product(eta(X0),X1),
inference(paramodulation,[status(thm)],[f2094,f200]) ).
fof(f4152,plain,
! [X0,X1] : quotient(eta(X0),X1) = product(eta(X0),j(X1)),
inference(paramodulation,[status(thm)],[f259,f3885]) ).
fof(f4644,plain,
! [X0,X1] : product(difference(X0,one),X0) = product(X1,product(i(product(X0,X1)),X0)),
inference(paramodulation,[status(thm)],[f151,f325]) ).
fof(f4645,plain,
! [X0,X1] : product(i(X0),X0) = product(X1,product(i(product(X0,X1)),X0)),
inference(forward_demodulation,[status(thm)],[f30,f4644]) ).
fof(f4646,plain,
! [X0,X1] : eta(X0) = product(X1,product(i(product(X0,X1)),X0)),
inference(forward_demodulation,[status(thm)],[f1045,f4645]) ).
fof(f4892,plain,
! [X0] : quotient(i(i(X0)),eta(X0)) = i(i(i(i(X0)))),
inference(paramodulation,[status(thm)],[f966,f1009]) ).
fof(f4893,plain,
! [X0] : t(eta(X0),X0) = i(i(i(i(X0)))),
inference(forward_demodulation,[status(thm)],[f931,f4892]) ).
fof(f5558,plain,
! [X0] : t(i(i(X0)),t(eta(X0),X0)) = j(j(i(i(X0)))),
inference(paramodulation,[status(thm)],[f4893,f3443]) ).
fof(f5559,plain,
! [X0] : t(i(i(X0)),t(eta(X0),X0)) = j(i(X0)),
inference(forward_demodulation,[status(thm)],[f199,f5558]) ).
fof(f5560,plain,
! [X0] : t(i(i(X0)),t(eta(X0),X0)) = X0,
inference(forward_demodulation,[status(thm)],[f199,f5559]) ).
fof(f6433,plain,
! [X0,X1] : product(X0,quotient(eta(X0),X1)) = product(j(j(X0)),j(X1)),
inference(paramodulation,[status(thm)],[f4152,f35]) ).
fof(f6837,plain,
! [X0,X1] : difference(X0,eta(X1)) = product(i(product(X1,X0)),X1),
inference(paramodulation,[status(thm)],[f4646,f25]) ).
fof(f7847,plain,
! [X0,X1] : quotient(difference(X0,eta(X1)),X1) = i(product(X1,X0)),
inference(paramodulation,[status(thm)],[f6837,f26]) ).
fof(f11342,plain,
! [X0,X1] : quotient(X0,X1) = i(product(X1,quotient(eta(X1),X0))),
inference(paramodulation,[status(thm)],[f251,f7847]) ).
fof(f19507,plain,
! [X0,X1] : t(i(quotient(X0,X1)),t(eta(product(X1,quotient(eta(X1),X0))),product(X1,quotient(eta(X1),X0)))) = product(X1,quotient(eta(X1),X0)),
inference(paramodulation,[status(thm)],[f11342,f5560]) ).
fof(f19508,plain,
! [X0,X1] : t(i(quotient(X0,X1)),i(i(i(i(product(X1,quotient(eta(X1),X0))))))) = product(X1,quotient(eta(X1),X0)),
inference(forward_demodulation,[status(thm)],[f4893,f19507]) ).
fof(f19509,plain,
! [X0,X1] : t(i(quotient(X0,X1)),i(i(i(quotient(X0,X1))))) = product(X1,quotient(eta(X1),X0)),
inference(forward_demodulation,[status(thm)],[f11342,f19508]) ).
fof(f19510,plain,
! [X0,X1] : j(j(i(quotient(X0,X1)))) = product(X1,quotient(eta(X1),X0)),
inference(forward_demodulation,[status(thm)],[f3443,f19509]) ).
fof(f19511,plain,
! [X0,X1] : j(quotient(X0,X1)) = product(X1,quotient(eta(X1),X0)),
inference(forward_demodulation,[status(thm)],[f199,f19510]) ).
fof(f19711,plain,
! [X0,X1] : j(quotient(X0,X1)) = product(j(j(X1)),j(X0)),
inference(backward_demodulation,[status(thm)],[f19511,f6433]) ).
fof(f19714,plain,
j(quotient(product(x1,x0),x0)) != j(x1),
inference(backward_demodulation,[status(thm)],[f19711,f42]) ).
fof(f19715,plain,
j(x1) != j(x1),
inference(forward_demodulation,[status(thm)],[f26,f19714]) ).
fof(f19716,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f19715]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP767-1 : TPTP v8.1.2. Released v4.1.0.
% 0.06/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n004.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue May 30 11:24:37 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % Drodi V3.5.1
% 7.37/1.40 % Refutation found
% 7.37/1.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 7.37/1.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 7.86/1.47 % Elapsed time: 1.122658 seconds
% 7.86/1.47 % CPU time: 7.927167 seconds
% 7.86/1.47 % Memory used: 139.980 MB
%------------------------------------------------------------------------------