TSTP Solution File: GRP683-11 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP683-11 : TPTP v8.1.2. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n027.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 20:21:24 EDT 2024
% Result : Unsatisfiable 2.23s 0.63s
% Output : CNFRefutation 2.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 4
% Syntax : Number of formulae : 50 ( 50 unt; 0 def)
% Number of atoms : 50 ( 49 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 135 ( 135 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [A] : rd(mult(A,A),A) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B] : mult(rd(A,B),B) = rd(mult(A,B),B),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A,B,C,D] : rd(mult(mult(A,B),rd(C,D)),rd(C,D)) = mult(A,rd(mult(B,D),D)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
mult(rd(mult(x3,x4),x4),x5) != mult(x3,x5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,plain,
! [X0] : rd(mult(X0,X0),X0) = X0,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f12,plain,
! [X0,X1] : mult(rd(X0,X1),X1) = rd(mult(X0,X1),X1),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f14,plain,
! [X0,X1,X2,X3] : rd(mult(mult(X0,X1),rd(X2,X3)),rd(X2,X3)) = mult(X0,rd(mult(X1,X3),X3)),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f16,plain,
mult(rd(mult(x3,x4),x4),x5) != mult(x3,x5),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f17,plain,
mult(mult(rd(x3,x4),x4),x5) != mult(x3,x5),
inference(backward_demodulation,[status(thm)],[f12,f16]) ).
fof(f18,plain,
! [X0] : mult(rd(X0,X0),X0) = X0,
inference(backward_demodulation,[status(thm)],[f12,f10]) ).
fof(f20,plain,
! [X0,X1,X2,X3] : mult(rd(mult(X0,X1),rd(X2,X3)),rd(X2,X3)) = mult(X0,rd(mult(X1,X3),X3)),
inference(forward_demodulation,[status(thm)],[f12,f14]) ).
fof(f21,plain,
! [X0,X1,X2,X3] : mult(rd(mult(X0,X1),rd(X2,X3)),rd(X2,X3)) = mult(X0,mult(rd(X1,X3),X3)),
inference(forward_demodulation,[status(thm)],[f12,f20]) ).
fof(f22,plain,
! [X0,X1,X2] : mult(mult(rd(X0,rd(X1,X2)),rd(X1,X2)),rd(X1,X2)) = mult(X0,mult(rd(rd(X1,X2),X2),X2)),
inference(paramodulation,[status(thm)],[f12,f21]) ).
fof(f26,plain,
! [X0,X1,X2,X3] : mult(rd(mult(X0,X1),mult(rd(X2,X3),X3)),rd(mult(X2,X3),X3)) = mult(X0,mult(rd(X1,X3),X3)),
inference(paramodulation,[status(thm)],[f12,f21]) ).
fof(f27,plain,
! [X0,X1,X2,X3] : mult(rd(mult(X0,X1),mult(rd(X2,X3),X3)),mult(rd(X2,X3),X3)) = mult(X0,mult(rd(X1,X3),X3)),
inference(forward_demodulation,[status(thm)],[f12,f26]) ).
fof(f58,plain,
! [X0,X1,X2] : mult(rd(mult(X0,X1),X2),mult(rd(X2,X2),X2)) = mult(X0,mult(rd(X1,X2),X2)),
inference(paramodulation,[status(thm)],[f18,f27]) ).
fof(f59,plain,
! [X0,X1,X2] : mult(rd(mult(X0,X1),X2),X2) = mult(X0,mult(rd(X1,X2),X2)),
inference(forward_demodulation,[status(thm)],[f18,f58]) ).
fof(f81,plain,
! [X0,X1,X2,X3] : mult(X0,mult(rd(X1,rd(X2,X3)),rd(X2,X3))) = mult(X0,mult(rd(X1,X3),X3)),
inference(backward_demodulation,[status(thm)],[f59,f21]) ).
fof(f83,plain,
! [X0,X1] : mult(mult(rd(X0,X1),X1),X1) = mult(X0,mult(rd(X1,X1),X1)),
inference(paramodulation,[status(thm)],[f12,f59]) ).
fof(f84,plain,
! [X0,X1] : mult(mult(rd(X0,X1),X1),X1) = mult(X0,X1),
inference(forward_demodulation,[status(thm)],[f18,f83]) ).
fof(f91,plain,
! [X0,X1] : mult(rd(X0,X1),X1) = mult(rd(X0,X0),mult(rd(X0,X1),X1)),
inference(paramodulation,[status(thm)],[f18,f59]) ).
fof(f93,plain,
! [X0,X1,X2] : mult(rd(rd(mult(X0,X1),X2),X2),X2) = rd(mult(X0,mult(rd(X1,X2),X2)),X2),
inference(paramodulation,[status(thm)],[f59,f12]) ).
fof(f96,plain,
! [X0,X1,X2] : mult(rd(mult(X0,X1),X2),X2) = mult(mult(rd(X0,X1),X1),mult(rd(X1,X2),X2)),
inference(paramodulation,[status(thm)],[f84,f59]) ).
fof(f97,plain,
! [X0,X1,X2] : mult(X0,mult(rd(X1,X2),X2)) = mult(mult(rd(X0,X1),X1),mult(rd(X1,X2),X2)),
inference(forward_demodulation,[status(thm)],[f59,f96]) ).
fof(f168,plain,
! [X0,X1,X2] : mult(rd(X0,rd(X1,X2)),rd(X1,X2)) = mult(rd(X0,X0),mult(rd(X0,X2),X2)),
inference(paramodulation,[status(thm)],[f91,f81]) ).
fof(f169,plain,
! [X0,X1,X2] : mult(rd(X0,rd(X1,X2)),rd(X1,X2)) = mult(rd(X0,X2),X2),
inference(forward_demodulation,[status(thm)],[f91,f168]) ).
fof(f217,plain,
! [X0,X1,X2] : mult(X0,rd(X1,X2)) = mult(X0,mult(rd(rd(X1,X2),X2),X2)),
inference(forward_demodulation,[status(thm)],[f84,f22]) ).
fof(f231,plain,
! [X0,X1] : mult(rd(rd(X0,X1),rd(X0,X1)),rd(X0,X1)) = mult(rd(rd(X0,X1),X1),X1),
inference(paramodulation,[status(thm)],[f91,f217]) ).
fof(f232,plain,
! [X0,X1] : rd(X0,X1) = mult(rd(rd(X0,X1),X1),X1),
inference(forward_demodulation,[status(thm)],[f18,f231]) ).
fof(f303,plain,
! [X0,X1,X2] : mult(rd(rd(X0,X1),X2),X2) = mult(rd(rd(X0,X1),X1),mult(rd(X1,X2),X2)),
inference(paramodulation,[status(thm)],[f232,f59]) ).
fof(f312,plain,
! [X0,X1,X2] : mult(rd(X0,mult(rd(X1,X2),X2)),rd(mult(X1,X2),X2)) = mult(rd(X0,X2),X2),
inference(paramodulation,[status(thm)],[f12,f169]) ).
fof(f313,plain,
! [X0,X1,X2] : mult(rd(X0,mult(rd(X1,X2),X2)),mult(rd(X1,X2),X2)) = mult(rd(X0,X2),X2),
inference(forward_demodulation,[status(thm)],[f12,f312]) ).
fof(f586,plain,
! [X0,X1,X2] : rd(mult(X0,X1),X2) = rd(mult(X0,mult(rd(X1,X2),X2)),X2),
inference(forward_demodulation,[status(thm)],[f232,f93]) ).
fof(f885,plain,
! [X0,X1,X2] : mult(rd(rd(X0,mult(X1,X2)),X2),X2) = mult(rd(rd(X0,mult(X1,X2)),mult(X1,X2)),mult(mult(rd(X1,X2),X2),X2)),
inference(paramodulation,[status(thm)],[f12,f303]) ).
fof(f886,plain,
! [X0,X1,X2] : mult(rd(rd(X0,mult(X1,X2)),X2),X2) = mult(rd(rd(X0,mult(X1,X2)),mult(X1,X2)),mult(X1,X2)),
inference(forward_demodulation,[status(thm)],[f84,f885]) ).
fof(f887,plain,
! [X0,X1,X2] : mult(rd(rd(X0,mult(X1,X2)),X2),X2) = rd(X0,mult(X1,X2)),
inference(forward_demodulation,[status(thm)],[f232,f886]) ).
fof(f998,plain,
! [X0,X1,X2,X3] : mult(rd(X0,rd(X1,mult(X2,X3))),mult(rd(rd(X1,mult(X2,X3)),X3),X3)) = mult(rd(X0,X3),X3),
inference(paramodulation,[status(thm)],[f887,f313]) ).
fof(f999,plain,
! [X0,X1,X2,X3] : mult(rd(X0,rd(X1,mult(X2,X3))),rd(X1,mult(X2,X3))) = mult(rd(X0,X3),X3),
inference(forward_demodulation,[status(thm)],[f887,f998]) ).
fof(f1000,plain,
! [X0,X1,X2] : mult(rd(X0,mult(X1,X2)),mult(X1,X2)) = mult(rd(X0,X2),X2),
inference(forward_demodulation,[status(thm)],[f169,f999]) ).
fof(f1103,plain,
! [X0,X1,X2] : rd(mult(rd(X0,mult(rd(X1,X2),X2)),X1),X2) = rd(mult(rd(X0,X2),X2),X2),
inference(paramodulation,[status(thm)],[f313,f586]) ).
fof(f1104,plain,
! [X0,X1,X2] : rd(mult(rd(X0,mult(rd(X1,X2),X2)),X1),X2) = mult(rd(rd(X0,X2),X2),X2),
inference(forward_demodulation,[status(thm)],[f12,f1103]) ).
fof(f1105,plain,
! [X0,X1,X2] : rd(mult(rd(X0,mult(rd(X1,X2),X2)),X1),X2) = rd(X0,X2),
inference(forward_demodulation,[status(thm)],[f232,f1104]) ).
fof(f1368,plain,
! [X0,X1,X2,X3] : mult(X0,mult(rd(mult(rd(X1,mult(rd(X2,X3),X3)),X2),X3),X3)) = mult(mult(rd(X0,mult(rd(X1,mult(rd(X2,X3),X3)),X2)),mult(rd(X1,mult(rd(X2,X3),X3)),X2)),mult(rd(X1,X3),X3)),
inference(paramodulation,[status(thm)],[f1105,f97]) ).
fof(f1369,plain,
! [X0,X1,X2,X3] : mult(X0,mult(rd(X1,mult(rd(X2,X3),X3)),mult(rd(X2,X3),X3))) = mult(mult(rd(X0,mult(rd(X1,mult(rd(X2,X3),X3)),X2)),mult(rd(X1,mult(rd(X2,X3),X3)),X2)),mult(rd(X1,X3),X3)),
inference(forward_demodulation,[status(thm)],[f59,f1368]) ).
fof(f1370,plain,
! [X0,X1,X2,X3] : mult(X0,mult(rd(X1,X2),X2)) = mult(mult(rd(X0,mult(rd(X1,mult(rd(X3,X2),X2)),X3)),mult(rd(X1,mult(rd(X3,X2),X2)),X3)),mult(rd(X1,X2),X2)),
inference(forward_demodulation,[status(thm)],[f1000,f1369]) ).
fof(f1371,plain,
! [X0,X1,X2,X3] : mult(X0,mult(rd(X1,X2),X2)) = mult(mult(rd(X0,X3),X3),mult(rd(X1,X2),X2)),
inference(forward_demodulation,[status(thm)],[f1000,f1370]) ).
fof(f2770,plain,
! [X0,X1,X2] : mult(X0,mult(rd(X1,X1),X1)) = mult(mult(rd(X0,X2),X2),X1),
inference(paramodulation,[status(thm)],[f18,f1371]) ).
fof(f2771,plain,
! [X0,X1,X2] : mult(X0,X1) = mult(mult(rd(X0,X2),X2),X1),
inference(forward_demodulation,[status(thm)],[f18,f2770]) ).
fof(f2866,plain,
mult(x3,x5) != mult(x3,x5),
inference(backward_demodulation,[status(thm)],[f2771,f17]) ).
fof(f2867,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f2866]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP683-11 : TPTP v8.1.2. Released v8.1.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n027.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 00:55:17 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 2.23/0.63 % Refutation found
% 2.23/0.63 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 2.23/0.63 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.23/0.64 % Elapsed time: 0.297314 seconds
% 2.23/0.64 % CPU time: 2.264335 seconds
% 2.23/0.64 % Total memory used: 60.946 MB
% 2.23/0.64 % Net memory used: 58.462 MB
%------------------------------------------------------------------------------