TSTP Solution File: GRP754-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP754-1 : TPTP v8.1.2. Released v4.0.0.
% 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 12:12:39 EDT 2023
% Result : Unsatisfiable 24.51s 3.60s
% Output : CNFRefutation 25.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 7
% Syntax : Number of formulae : 43 ( 43 unt; 0 def)
% Number of atoms : 43 ( 42 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 112 (; 112 !; 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,B,C] : mult(A,mult(B,C)) = mult(mult(rd(A,A),B),mult(A,C)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A,B,C] : mult(mult(A,B),C) = mult(mult(A,C),mult(B,ld(C,C))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
mult(mult(a,a),mult(b,c)) != mult(mult(a,b),mult(a,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,plain,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f9,plain,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f10,plain,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f11,plain,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f12,plain,
! [X0,X1,X2] : mult(X0,mult(X1,X2)) = mult(mult(rd(X0,X0),X1),mult(X0,X2)),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f13,plain,
! [X0,X1,X2] : mult(mult(X0,X1),X2) = mult(mult(X0,X2),mult(X1,ld(X2,X2))),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f14,plain,
mult(mult(a,a),mult(b,c)) != mult(mult(a,b),mult(a,c)),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f15,plain,
! [X0,X1] : ld(rd(X0,X1),X0) = X1,
inference(paramodulation,[status(thm)],[f10,f9]) ).
fof(f22,plain,
! [X0,X1,X2] : mult(X0,mult(X1,ld(X0,X2))) = mult(mult(rd(X0,X0),X1),X2),
inference(paramodulation,[status(thm)],[f8,f12]) ).
fof(f23,plain,
! [X0,X1,X2] : rd(mult(X0,mult(X1,X2)),mult(X0,X2)) = mult(rd(X0,X0),X1),
inference(paramodulation,[status(thm)],[f12,f11]) ).
fof(f24,plain,
! [X0,X1,X2] : ld(mult(rd(X0,X0),X1),mult(X0,mult(X1,X2))) = mult(X0,X2),
inference(paramodulation,[status(thm)],[f12,f9]) ).
fof(f37,plain,
! [X0,X1,X2] : ld(mult(X0,X1),mult(mult(X0,X2),X1)) = mult(X2,ld(X1,X1)),
inference(paramodulation,[status(thm)],[f13,f9]) ).
fof(f55,plain,
! [X0,X1,X2] : mult(X0,mult(X1,ld(X0,mult(X2,ld(X1,X1))))) = mult(mult(rd(X0,X0),X2),X1),
inference(paramodulation,[status(thm)],[f13,f22]) ).
fof(f56,plain,
! [X0,X1,X2] : mult(X0,mult(X1,ld(X0,mult(X2,ld(X1,X1))))) = mult(X0,mult(X2,ld(X0,X1))),
inference(forward_demodulation,[status(thm)],[f22,f55]) ).
fof(f78,plain,
! [X0,X1,X2] : rd(mult(X0,X1),mult(X0,X2)) = mult(rd(X0,X0),rd(X1,X2)),
inference(paramodulation,[status(thm)],[f10,f23]) ).
fof(f116,plain,
! [X0,X1,X2] : ld(mult(rd(X0,X0),X1),mult(X0,X2)) = mult(X0,ld(X1,X2)),
inference(paramodulation,[status(thm)],[f8,f24]) ).
fof(f198,plain,
! [X0,X1,X2] : ld(X0,mult(mult(X1,X2),ld(X1,X0))) = mult(X2,ld(ld(X1,X0),ld(X1,X0))),
inference(paramodulation,[status(thm)],[f8,f37]) ).
fof(f201,plain,
! [X0,X1,X2] : ld(mult(rd(X0,X0),X1),mult(X0,mult(X2,ld(X0,X1)))) = mult(X2,ld(X1,X1)),
inference(paramodulation,[status(thm)],[f22,f37]) ).
fof(f202,plain,
! [X0,X1,X2] : mult(X0,ld(X1,mult(X2,ld(X0,X1)))) = mult(X2,ld(X1,X1)),
inference(forward_demodulation,[status(thm)],[f116,f201]) ).
fof(f213,plain,
! [X0,X1,X2] : ld(mult(rd(X0,X1),X2),mult(X0,X2)) = mult(X1,ld(X2,X2)),
inference(paramodulation,[status(thm)],[f10,f37]) ).
fof(f555,plain,
! [X0,X1,X2] : ld(X0,mult(X0,mult(X1,ld(X0,X2)))) = mult(X2,ld(X0,mult(X1,ld(X2,X2)))),
inference(paramodulation,[status(thm)],[f56,f9]) ).
fof(f556,plain,
! [X0,X1,X2] : mult(X0,ld(X1,X2)) = mult(X2,ld(X1,mult(X0,ld(X2,X2)))),
inference(forward_demodulation,[status(thm)],[f9,f555]) ).
fof(f595,plain,
! [X0,X1,X2] : ld(mult(rd(X0,X0),X1),X2) = mult(X0,ld(X1,ld(X0,X2))),
inference(paramodulation,[status(thm)],[f8,f116]) ).
fof(f978,plain,
! [X0,X1,X2,X3] : rd(mult(X0,ld(X1,X1)),mult(X2,X3)) = mult(rd(X2,X2),rd(ld(X1,mult(X0,ld(X2,X1))),X3)),
inference(paramodulation,[status(thm)],[f202,f78]) ).
fof(f1017,plain,
! [X0,X1,X2] : ld(mult(rd(X0,X1),ld(X0,X2)),X2) = mult(X1,ld(ld(X0,X2),ld(X0,X2))),
inference(paramodulation,[status(thm)],[f8,f213]) ).
fof(f1018,plain,
! [X0,X1,X2] : ld(mult(rd(X0,X1),ld(X0,X2)),X2) = ld(X2,mult(mult(X0,X1),ld(X0,X2))),
inference(forward_demodulation,[status(thm)],[f198,f1017]) ).
fof(f1864,plain,
! [X0,X1,X2] : mult(X0,ld(rd(mult(X0,ld(X1,X1)),X2),X1)) = mult(X1,X2),
inference(paramodulation,[status(thm)],[f15,f556]) ).
fof(f4500,plain,
! [X0,X1,X2] : ld(mult(rd(X0,X0),rd(mult(X0,ld(ld(X0,X1),ld(X0,X1))),X2)),X1) = mult(ld(X0,X1),X2),
inference(paramodulation,[status(thm)],[f595,f1864]) ).
fof(f4501,plain,
! [X0,X1,X2] : ld(mult(rd(X0,X0),rd(ld(mult(rd(X0,X0),ld(X0,X1)),X1),X2)),X1) = mult(ld(X0,X1),X2),
inference(forward_demodulation,[status(thm)],[f595,f4500]) ).
fof(f4502,plain,
! [X0,X1,X2] : ld(mult(rd(X0,X0),rd(ld(X1,mult(mult(X0,X0),ld(X0,X1))),X2)),X1) = mult(ld(X0,X1),X2),
inference(forward_demodulation,[status(thm)],[f1018,f4501]) ).
fof(f4503,plain,
! [X0,X1,X2] : ld(rd(mult(mult(X0,X0),ld(X1,X1)),mult(X0,X2)),X1) = mult(ld(X0,X1),X2),
inference(forward_demodulation,[status(thm)],[f978,f4502]) ).
fof(f4619,plain,
! [X0,X1,X2] : ld(X0,mult(X1,X2)) = ld(rd(mult(X0,ld(X1,X1)),X2),X1),
inference(paramodulation,[status(thm)],[f1864,f9]) ).
fof(f4652,plain,
! [X0,X1,X2] : ld(mult(X0,X0),mult(X1,mult(X0,X2))) = mult(ld(X0,X1),X2),
inference(backward_demodulation,[status(thm)],[f4619,f4503]) ).
fof(f8433,plain,
! [X0,X1,X2] : mult(mult(X0,X0),mult(ld(X0,X1),X2)) = mult(X1,mult(X0,X2)),
inference(paramodulation,[status(thm)],[f4652,f8]) ).
fof(f13954,plain,
! [X0,X1,X2] : mult(mult(X0,X0),mult(X1,X2)) = mult(mult(X0,X1),mult(X0,X2)),
inference(paramodulation,[status(thm)],[f9,f8433]) ).
fof(f13955,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f14,f13954]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP754-1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n016.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue May 30 12:01:14 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % Drodi V3.5.1
% 24.51/3.60 % Refutation found
% 24.51/3.60 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 24.51/3.60 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 25.52/3.70 % Elapsed time: 3.346881 seconds
% 25.52/3.70 % CPU time: 25.341015 seconds
% 25.52/3.70 % Memory used: 424.151 MB
%------------------------------------------------------------------------------