TSTP Solution File: GRP659-10 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP659-10 : TPTP v8.1.2. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n016.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 12:12:28 EDT 2023
% Result : Unsatisfiable 19.94s 2.91s
% Output : CNFRefutation 20.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 6
% Syntax : Number of formulae : 51 ( 51 unt; 0 def)
% Number of atoms : 51 ( 50 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 0 con; 1-2 aty)
% Number of variables : 108 (; 108 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] : mult(A,ld(A,B)) = B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : ld(A,mult(A,B)) = B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B] : mult(rd(A,B),B) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B] : rd(mult(A,B),B) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A,B,C] : mult(mult(A,mult(B,C)),B) = mult(mult(A,B),mult(C,B)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
! [X0] : tuple(mult(X0,x1(X0)),mult(x1_2(X0),X0)) != tuple(x1(X0),x1_2(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,plain,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f8,plain,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f9,plain,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f10,plain,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f11,plain,
! [X0,X1,X2] : mult(mult(X0,mult(X1,X2)),X1) = mult(mult(X0,X1),mult(X2,X1)),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f12,plain,
! [X0] : tuple(mult(X0,x1(X0)),mult(x1_2(X0),X0)) != tuple(x1(X0),x1_2(X0)),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f13,plain,
! [X0,X1] : ld(rd(X0,X1),X0) = X1,
inference(paramodulation,[status(thm)],[f9,f8]) ).
fof(f14,plain,
! [X0,X1] : rd(X0,ld(X1,X0)) = X1,
inference(paramodulation,[status(thm)],[f7,f10]) ).
fof(f18,plain,
! [X0,X1,X2] : mult(X0,X1) = mult(mult(rd(X0,mult(X1,X2)),X1),mult(X2,X1)),
inference(paramodulation,[status(thm)],[f9,f11]) ).
fof(f21,plain,
! [X0,X1,X2] : mult(mult(X0,X1),X2) = mult(mult(X0,X2),mult(ld(X2,X1),X2)),
inference(paramodulation,[status(thm)],[f7,f11]) ).
fof(f37,plain,
! [X0,X1,X2] : rd(mult(X0,X1),mult(X2,X1)) = mult(rd(X0,mult(X1,X2)),X1),
inference(paramodulation,[status(thm)],[f18,f10]) ).
fof(f38,plain,
! [X0,X1,X2] : ld(mult(rd(X0,mult(X1,X2)),X1),mult(X0,X1)) = mult(X2,X1),
inference(paramodulation,[status(thm)],[f18,f8]) ).
fof(f44,plain,
! [X0,X1,X2] : mult(mult(rd(X0,X1),X2),X1) = mult(X0,mult(ld(X1,X2),X1)),
inference(paramodulation,[status(thm)],[f9,f21]) ).
fof(f56,plain,
! [X0,X1,X2] : ld(mult(X0,X1),mult(mult(X0,X2),X1)) = mult(ld(X1,X2),X1),
inference(paramodulation,[status(thm)],[f21,f8]) ).
fof(f141,plain,
! [X0,X1,X2] : rd(X0,mult(X1,X2)) = mult(rd(rd(X0,X2),mult(X2,X1)),X2),
inference(paramodulation,[status(thm)],[f9,f37]) ).
fof(f164,plain,
! [X0,X1,X2] : ld(mult(rd(X0,X1),X2),mult(X0,X2)) = mult(ld(X2,X1),X2),
inference(paramodulation,[status(thm)],[f7,f38]) ).
fof(f178,plain,
! [X0,X1] : mult(X0,X1) = mult(X0,mult(ld(X1,X1),X1)),
inference(paramodulation,[status(thm)],[f9,f44]) ).
fof(f406,plain,
! [X0,X1] : ld(X0,mult(X0,X1)) = mult(ld(X1,X1),X1),
inference(paramodulation,[status(thm)],[f178,f8]) ).
fof(f407,plain,
! [X0] : X0 = mult(ld(X0,X0),X0),
inference(forward_demodulation,[status(thm)],[f8,f406]) ).
fof(f447,plain,
! [X0] : rd(X0,X0) = ld(X0,X0),
inference(paramodulation,[status(thm)],[f407,f10]) ).
fof(f449,plain,
! [X0,X1] : mult(rd(X0,mult(X1,X0)),X1) = ld(mult(X0,X1),mult(X0,X1)),
inference(paramodulation,[status(thm)],[f37,f447]) ).
fof(f641,plain,
! [X0,X1,X2] : ld(mult(X0,X1),mult(X2,X1)) = mult(ld(X1,ld(X0,X2)),X1),
inference(paramodulation,[status(thm)],[f7,f56]) ).
fof(f1776,plain,
! [X0,X1,X2] : ld(rd(rd(X0,X1),mult(X1,X2)),rd(X0,mult(X2,X1))) = X1,
inference(paramodulation,[status(thm)],[f141,f8]) ).
fof(f1796,plain,
! [X0,X1] : ld(mult(rd(ld(X0,X0),X1),X0),X0) = mult(ld(X0,X1),X0),
inference(paramodulation,[status(thm)],[f407,f164]) ).
fof(f6505,plain,
! [X0,X1] : rd(ld(mult(X0,X1),mult(X0,X1)),X1) = rd(X0,mult(X1,X0)),
inference(paramodulation,[status(thm)],[f449,f10]) ).
fof(f7452,plain,
! [X0,X1,X2] : rd(ld(mult(X0,X1),mult(X2,X1)),X1) = ld(X1,ld(X0,X2)),
inference(paramodulation,[status(thm)],[f641,f10]) ).
fof(f14403,plain,
! [X0,X1] : ld(X0,ld(X1,X1)) = rd(X1,mult(X0,X1)),
inference(backward_demodulation,[status(thm)],[f7452,f6505]) ).
fof(f14640,plain,
! [X0,X1] : ld(rd(X0,X1),ld(X1,X1)) = rd(X1,X0),
inference(paramodulation,[status(thm)],[f9,f14403]) ).
fof(f14735,plain,
! [X0,X1] : ld(ld(X0,ld(X1,X1)),X1) = mult(X0,X1),
inference(paramodulation,[status(thm)],[f14403,f13]) ).
fof(f14795,plain,
! [X0,X1] : rd(ld(X0,X0),rd(X0,X1)) = rd(X1,X0),
inference(paramodulation,[status(thm)],[f14640,f14]) ).
fof(f14831,plain,
! [X0,X1] : ld(X0,X1) = mult(rd(ld(X1,X1),X0),X1),
inference(paramodulation,[status(thm)],[f13,f14735]) ).
fof(f15171,plain,
! [X0,X1] : rd(ld(X0,X0),X1) = rd(ld(X1,X0),X0),
inference(paramodulation,[status(thm)],[f14,f14795]) ).
fof(f16084,plain,
! [X0,X1] : ld(ld(X0,X1),X1) = mult(ld(X1,X0),X1),
inference(backward_demodulation,[status(thm)],[f14831,f1796]) ).
fof(f17498,plain,
! [X0,X1] : ld(ld(X0,X1),ld(X0,X0)) = rd(X0,ld(ld(X1,X0),X0)),
inference(paramodulation,[status(thm)],[f16084,f14403]) ).
fof(f17499,plain,
! [X0,X1] : ld(ld(X0,X1),ld(X0,X0)) = ld(X1,X0),
inference(forward_demodulation,[status(thm)],[f14,f17498]) ).
fof(f17635,plain,
! [X0,X1] : rd(ld(ld(X0,X1),X1),X1) = ld(X1,X0),
inference(paramodulation,[status(thm)],[f16084,f10]) ).
fof(f17636,plain,
! [X0,X1] : rd(ld(X0,X0),ld(X1,X0)) = ld(X0,X1),
inference(forward_demodulation,[status(thm)],[f15171,f17635]) ).
fof(f18938,plain,
! [X0,X1] : rd(ld(X0,X0),ld(X1,ld(X0,X0))) = ld(ld(X0,X0),X1),
inference(paramodulation,[status(thm)],[f17499,f17636]) ).
fof(f18939,plain,
! [X0,X1] : X0 = ld(ld(X1,X1),X0),
inference(forward_demodulation,[status(thm)],[f14,f18938]) ).
fof(f19470,plain,
! [X0,X1] : mult(ld(X0,X0),X1) = X1,
inference(paramodulation,[status(thm)],[f8,f18939]) ).
fof(f19777,plain,
! [X0,X1,X2] : ld(rd(rd(X0,X1),mult(X1,ld(X2,X2))),rd(X0,X1)) = X1,
inference(paramodulation,[status(thm)],[f19470,f1776]) ).
fof(f19778,plain,
! [X0,X1] : mult(X0,ld(X1,X1)) = X0,
inference(forward_demodulation,[status(thm)],[f13,f19777]) ).
fof(f20313,plain,
! [X0] : tuple(mult(ld(X0,X0),x1(ld(X0,X0))),x1_2(ld(X0,X0))) != tuple(x1(ld(X0,X0)),x1_2(ld(X0,X0))),
inference(paramodulation,[status(thm)],[f19778,f12]) ).
fof(f20314,plain,
! [X0] : tuple(x1(ld(X0,X0)),x1_2(ld(X0,X0))) != tuple(x1(ld(X0,X0)),x1_2(ld(X0,X0))),
inference(forward_demodulation,[status(thm)],[f19470,f20313]) ).
fof(f20315,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f20314]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP659-10 : TPTP v8.1.2. Released v8.1.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n016.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 : Tue May 30 11:59:14 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Drodi V3.5.1
% 19.94/2.91 % Refutation found
% 19.94/2.91 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 19.94/2.91 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 20.97/3.03 % Elapsed time: 2.677399 seconds
% 20.97/3.03 % CPU time: 20.738343 seconds
% 20.97/3.03 % Memory used: 369.499 MB
%------------------------------------------------------------------------------