TSTP Solution File: GRP748-3 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP748-3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n014.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 12:12:38 EDT 2023
% Result : Unsatisfiable 184.72s 23.64s
% Output : CNFRefutation 187.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 12
% Syntax : Number of formulae : 76 ( 60 unt; 0 def)
% Number of atoms : 92 ( 91 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 21 ( 5 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 128 (; 128 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] : mult(A,ld(A,B)) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : ld(A,mult(A,B)) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B] : mult(rd(A,B),B) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B] : rd(mult(A,B),B) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A] : mult(A,unit) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A] : mult(unit,A) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [A,B,C] : mult(mult(mult(A,B),C),B) = mult(A,mult(mult(B,C),B)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [A,B] : mult(mult(A,B),i(B)) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [A] : mult(A,i(A)) = unit,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [A] : mult(i(A),A) = unit,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [A,B] :
( mult(A,B) = mult(B,A)
| mult(i(A),mult(A,B)) = B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
mult(a,mult(b,mult(c,b))) != mult(mult(mult(a,b),c),b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,plain,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f14,plain,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f15,plain,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f16,plain,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f17,plain,
! [X0] : mult(X0,unit) = X0,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f18,plain,
! [X0] : mult(unit,X0) = X0,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f19,plain,
! [X0,X1,X2] : mult(mult(mult(X0,X1),X2),X1) = mult(X0,mult(mult(X1,X2),X1)),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f20,plain,
! [X0,X1] : mult(mult(X0,X1),i(X1)) = X0,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f21,plain,
! [X0] : mult(X0,i(X0)) = unit,
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f22,plain,
! [X0] : mult(i(X0),X0) = unit,
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f23,plain,
! [X0,X1] :
( mult(X0,X1) = mult(X1,X0)
| mult(i(X0),mult(X0,X1)) = X1 ),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f24,plain,
mult(a,mult(b,mult(c,b))) != mult(mult(mult(a,b),c),b),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f25,plain,
mult(a,mult(b,mult(c,b))) != mult(a,mult(mult(b,c),b)),
inference(backward_demodulation,[status(thm)],[f19,f24]) ).
fof(f1143,plain,
! [X0,X1] : mult(mult(X0,X1),X1) = mult(X0,mult(mult(X1,unit),X1)),
inference(paramodulation,[status(thm)],[f17,f19]) ).
fof(f1144,plain,
! [X0,X1] : mult(mult(X0,X1),X1) = mult(X0,mult(X1,X1)),
inference(forward_demodulation,[status(thm)],[f17,f1143]) ).
fof(f1460,plain,
! [X0,X1] : mult(unit,X0) = mult(X1,mult(mult(X0,i(mult(X1,X0))),X0)),
inference(paramodulation,[status(thm)],[f21,f19]) ).
fof(f1461,plain,
! [X0,X1] : X0 = mult(X1,mult(mult(X0,i(mult(X1,X0))),X0)),
inference(forward_demodulation,[status(thm)],[f18,f1460]) ).
fof(f1546,plain,
! [X0,X1] : mult(mult(unit,X0),i(X1)) = mult(X1,mult(mult(i(X1),X0),i(X1))),
inference(paramodulation,[status(thm)],[f21,f19]) ).
fof(f1547,plain,
! [X0,X1] : mult(X0,i(X1)) = mult(X1,mult(mult(i(X1),X0),i(X1))),
inference(forward_demodulation,[status(thm)],[f18,f1546]) ).
fof(f1796,plain,
! [X0,X1] : mult(mult(unit,X0),X1) = mult(i(X1),mult(mult(X1,X0),X1)),
inference(paramodulation,[status(thm)],[f22,f19]) ).
fof(f1797,plain,
! [X0,X1] : mult(X0,X1) = mult(i(X1),mult(mult(X1,X0),X1)),
inference(forward_demodulation,[status(thm)],[f18,f1796]) ).
fof(f1831,plain,
! [X0,X1] :
( mult(X0,ld(X0,X1)) = mult(ld(X0,X1),X0)
| mult(i(X0),X1) = ld(X0,X1) ),
inference(paramodulation,[status(thm)],[f13,f23]) ).
fof(f1832,plain,
! [X0,X1] :
( X0 = mult(ld(X1,X0),X1)
| mult(i(X1),X0) = ld(X1,X0) ),
inference(forward_demodulation,[status(thm)],[f13,f1831]) ).
fof(f1847,plain,
! [X0,X1] :
( ld(i(X0),X1) = mult(X0,X1)
| mult(X0,X1) = mult(X1,X0) ),
inference(paramodulation,[status(thm)],[f23,f14]) ).
fof(f1877,plain,
! [X0] : mult(unit,X0) = mult(i(X0),mult(X0,X0)),
inference(paramodulation,[status(thm)],[f22,f1144]) ).
fof(f1878,plain,
! [X0] : X0 = mult(i(X0),mult(X0,X0)),
inference(forward_demodulation,[status(thm)],[f18,f1877]) ).
fof(f1893,plain,
! [X0] : mult(unit,i(X0)) = mult(X0,mult(i(X0),i(X0))),
inference(paramodulation,[status(thm)],[f21,f1144]) ).
fof(f1894,plain,
! [X0] : i(X0) = mult(X0,mult(i(X0),i(X0))),
inference(forward_demodulation,[status(thm)],[f18,f1893]) ).
fof(f2015,plain,
! [X0] : mult(X0,i(mult(X0,X0))) = i(X0),
inference(paramodulation,[status(thm)],[f1878,f20]) ).
fof(f2240,plain,
! [X0] : ld(X0,i(X0)) = i(mult(X0,X0)),
inference(paramodulation,[status(thm)],[f2015,f14]) ).
fof(f2443,plain,
! [X0] : mult(i(X0),i(mult(i(X0),i(X0)))) = X0,
inference(paramodulation,[status(thm)],[f1894,f20]) ).
fof(f2444,plain,
! [X0] : mult(i(X0),ld(i(X0),i(i(X0)))) = X0,
inference(forward_demodulation,[status(thm)],[f2240,f2443]) ).
fof(f2445,plain,
! [X0] : i(i(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f13,f2444]) ).
fof(f2811,plain,
! [X0,X1] : mult(mult(X0,i(X1)),X1) = X0,
inference(paramodulation,[status(thm)],[f2445,f20]) ).
fof(f2820,plain,
! [X0,X1] : mult(X0,X1) = rd(X0,i(X1)),
inference(paramodulation,[status(thm)],[f15,f2811]) ).
fof(f2932,plain,
! [X0,X1] : rd(X0,X1) = mult(X0,i(X1)),
inference(paramodulation,[status(thm)],[f2811,f16]) ).
fof(f2933,plain,
! [X0,X1] : ld(mult(X0,i(X1)),X0) = X1,
inference(paramodulation,[status(thm)],[f2811,f14]) ).
fof(f3234,plain,
! [X0,X1] : ld(rd(X0,X1),X0) = X1,
inference(forward_demodulation,[status(thm)],[f2932,f2933]) ).
fof(f3237,plain,
! [X0,X1] : ld(mult(X0,X1),X0) = i(X1),
inference(paramodulation,[status(thm)],[f2820,f3234]) ).
fof(f3340,plain,
! [X0,X1] : ld(X0,X1) = i(ld(X1,X0)),
inference(paramodulation,[status(thm)],[f13,f3237]) ).
fof(f3371,plain,
! [X0,X1,X2] : rd(X0,ld(X1,X2)) = mult(X0,ld(X2,X1)),
inference(paramodulation,[status(thm)],[f3340,f2932]) ).
fof(f3618,plain,
! [X0,X1] : X0 = mult(X1,mult(rd(X0,mult(X1,X0)),X0)),
inference(forward_demodulation,[status(thm)],[f2932,f1461]) ).
fof(f3687,plain,
! [X0,X1] : ld(X0,X1) = mult(rd(X1,mult(X0,X1)),X1),
inference(paramodulation,[status(thm)],[f3618,f14]) ).
fof(f3944,plain,
! [X0,X1] : rd(X0,X1) = mult(X1,mult(mult(i(X1),X0),i(X1))),
inference(forward_demodulation,[status(thm)],[f2932,f1547]) ).
fof(f3945,plain,
! [X0,X1] : rd(X0,X1) = mult(X1,rd(mult(i(X1),X0),X1)),
inference(forward_demodulation,[status(thm)],[f2932,f3944]) ).
fof(f3986,plain,
! [X0,X1] : rd(ld(i(X0),X1),X0) = mult(X0,rd(X1,X0)),
inference(paramodulation,[status(thm)],[f13,f3945]) ).
fof(f4901,plain,
! [X0,X1] : ld(i(X0),mult(X1,X0)) = mult(mult(X0,X1),X0),
inference(paramodulation,[status(thm)],[f1797,f14]) ).
fof(f8152,plain,
! [X0,X1] : ld(rd(X0,mult(X1,X0)),ld(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f3687,f14]) ).
fof(f14180,plain,
! [X0,X1] :
( ld(rd(X0,ld(X1,X0)),ld(i(X1),X0)) = X0
| X0 = mult(ld(X1,X0),X1) ),
inference(paramodulation,[status(thm)],[f1832,f8152]) ).
fof(f14181,plain,
! [X0,X1] :
( ld(mult(X0,ld(X0,X1)),ld(i(X1),X0)) = X0
| X0 = mult(ld(X1,X0),X1) ),
inference(forward_demodulation,[status(thm)],[f3371,f14180]) ).
fof(f14182,plain,
! [X0,X1] :
( ld(X0,ld(i(X0),X1)) = X1
| X1 = mult(ld(X0,X1),X0) ),
inference(forward_demodulation,[status(thm)],[f13,f14181]) ).
fof(f28199,plain,
! [X0,X1] :
( ld(X0,X1) = mult(i(X0),X1)
| mult(i(X0),X1) = mult(X1,i(X0)) ),
inference(paramodulation,[status(thm)],[f2445,f1847]) ).
fof(f28200,plain,
! [X0,X1] :
( ld(X0,X1) = mult(i(X0),X1)
| mult(i(X0),X1) = rd(X1,X0) ),
inference(forward_demodulation,[status(thm)],[f2932,f28199]) ).
fof(f43954,plain,
! [X0,X1] :
( ld(i(X0),ld(X0,X1)) = X1
| X1 = mult(ld(i(X0),X1),i(X0)) ),
inference(paramodulation,[status(thm)],[f2445,f14182]) ).
fof(f43955,plain,
! [X0,X1] :
( ld(i(X0),ld(X0,X1)) = X1
| X1 = rd(ld(i(X0),X1),X0) ),
inference(forward_demodulation,[status(thm)],[f2932,f43954]) ).
fof(f43956,plain,
! [X0,X1] :
( ld(i(X0),ld(X0,X1)) = X1
| X1 = mult(X0,rd(X1,X0)) ),
inference(forward_demodulation,[status(thm)],[f3986,f43955]) ).
fof(f83059,plain,
! [X0,X1] :
( mult(i(X0),X1) = ld(X0,X1)
| X1 = mult(X0,rd(X1,X0)) ),
inference(paramodulation,[status(thm)],[f43956,f13]) ).
fof(f103913,plain,
! [X0,X1] :
( ld(X0,X1) = rd(X1,X0)
| mult(i(X0),X1) = ld(X0,X1) ),
inference(paramodulation,[status(thm)],[f83059,f14]) ).
fof(f205812,plain,
! [X0,X1] :
( rd(X0,X1) != ld(X1,X0)
| mult(i(X1),X0) = ld(X1,X0) ),
inference(equality_factoring,[status(esa)],[f28200]) ).
fof(f205813,plain,
! [X0,X1] : mult(i(X0),X1) = ld(X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[f205812,f103913]) ).
fof(f205890,plain,
! [X0,X1] : mult(X0,X1) = ld(i(X0),X1),
inference(paramodulation,[status(thm)],[f2445,f205813]) ).
fof(f207511,plain,
! [X0,X1] : mult(X0,mult(X1,X0)) = mult(mult(X0,X1),X0),
inference(backward_demodulation,[status(thm)],[f205890,f4901]) ).
fof(f236611,plain,
mult(a,mult(b,mult(c,b))) != mult(a,mult(b,mult(c,b))),
inference(backward_demodulation,[status(thm)],[f207511,f25]) ).
fof(f236612,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f236611]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP748-3 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.34 % Computer : n014.cluster.edu
% 0.11/0.34 % Model : x86_64 x86_64
% 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34 % Memory : 8042.1875MB
% 0.11/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34 % CPULimit : 300
% 0.11/0.34 % WCLimit : 300
% 0.11/0.34 % DateTime : Tue May 30 11:29:18 EDT 2023
% 0.11/0.34 % CPUTime :
% 0.11/0.34 % Drodi V3.5.1
% 184.72/23.64 % Refutation found
% 184.72/23.64 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 184.72/23.64 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 190.52/25.23 % Elapsed time: 24.675667 seconds
% 190.52/25.23 % CPU time: 174.691266 seconds
% 190.52/25.23 % Memory used: 1.954 GB
%------------------------------------------------------------------------------