TSTP Solution File: GRP748-3 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% 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 : n003.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 20:21:32 EDT 2024
% Result : Unsatisfiable 16.49s 2.45s
% Output : CNFRefutation 16.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 9
% Syntax : Number of formulae : 37 ( 29 unt; 0 def)
% Number of atoms : 47 ( 46 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 14 ( 4 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 4 ( 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 : 58 ( 58 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [A,B] : ld(A,mult(A,B)) = B,
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(f6,axiom,
! [A] : mult(unit,A) = A,
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [A,B] : mult(mult(A,B),i(B)) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [A] : mult(A,i(A)) = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [A] : mult(i(A),A) = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [A,B] :
( mult(A,B) = mult(B,A)
| mult(i(A),mult(A,B)) = B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
mult(a,mult(b,mult(c,b))) != mult(mult(mult(a,b),c),b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,plain,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f16,plain,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
inference(cnf_transformation,[status(esa)],[f4]) ).
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(f1571,plain,
! [X0,X1] : mult(mult(unit,X0),X1) = mult(i(X1),mult(mult(X1,X0),X1)),
inference(paramodulation,[status(thm)],[f22,f19]) ).
fof(f1572,plain,
! [X0,X1] : mult(X0,X1) = mult(i(X1),mult(mult(X1,X0),X1)),
inference(forward_demodulation,[status(thm)],[f18,f1571]) ).
fof(f1588,plain,
! [X0,X1] : mult(X0,i(i(X1))) = mult(X0,X1),
inference(paramodulation,[status(thm)],[f20,f20]) ).
fof(f1589,plain,
! [X0] : mult(unit,i(i(X0))) = X0,
inference(paramodulation,[status(thm)],[f21,f20]) ).
fof(f1590,plain,
! [X0] : i(i(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f18,f1589]) ).
fof(f1710,plain,
! [X0,X1] : mult(mult(X0,i(X1)),X1) = X0,
inference(paramodulation,[status(thm)],[f1590,f20]) ).
fof(f1811,plain,
! [X0,X1] : rd(X0,X1) = mult(X0,i(X1)),
inference(paramodulation,[status(thm)],[f1710,f16]) ).
fof(f2043,plain,
! [X0,X1] : rd(X0,i(X1)) = mult(X0,X1),
inference(forward_demodulation,[status(thm)],[f1811,f1588]) ).
fof(f2535,plain,
! [X0,X1] :
( rd(mult(X0,X1),X0) = X1
| mult(i(X0),mult(X0,X1)) = X1 ),
inference(paramodulation,[status(thm)],[f23,f16]) ).
fof(f2581,plain,
! [X0,X1] :
( ld(i(X0),X1) = mult(X0,X1)
| mult(X0,X1) = mult(X1,X0) ),
inference(paramodulation,[status(thm)],[f23,f14]) ).
fof(f5886,plain,
! [X0,X1] :
( mult(mult(i(X0),X1),X0) = X1
| mult(i(i(X0)),mult(i(X0),X1)) = X1 ),
inference(paramodulation,[status(thm)],[f2043,f2535]) ).
fof(f5887,plain,
! [X0,X1] :
( mult(mult(i(X0),X1),X0) = X1
| mult(X0,mult(i(X0),X1)) = X1 ),
inference(forward_demodulation,[status(thm)],[f1590,f5886]) ).
fof(f15964,plain,
! [X0,X1] :
( mult(X0,mult(i(X0),X1)) = X1
| mult(X0,mult(i(X0),X1)) = X1
| ld(i(X0),mult(i(X0),X1)) = mult(X0,mult(i(X0),X1)) ),
inference(paramodulation,[status(thm)],[f2581,f5887]) ).
fof(f15965,plain,
! [X0,X1] :
( mult(X0,mult(i(X0),X1)) = X1
| mult(X0,mult(i(X0),X1)) = X1
| X1 = mult(X0,mult(i(X0),X1)) ),
inference(forward_demodulation,[status(thm)],[f14,f15964]) ).
fof(f15966,plain,
! [X0,X1] : mult(X0,mult(i(X0),X1)) = X1,
inference(duplicate_literals_removal,[status(esa)],[f15965]) ).
fof(f16463,plain,
! [X0,X1] : mult(X0,mult(X1,X0)) = mult(mult(X0,X1),X0),
inference(paramodulation,[status(thm)],[f1572,f15966]) ).
fof(f21558,plain,
mult(a,mult(b,mult(c,b))) != mult(a,mult(b,mult(c,b))),
inference(backward_demodulation,[status(thm)],[f16463,f25]) ).
fof(f21559,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f21558]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GRP748-3 : TPTP v8.1.2. Released v4.0.0.
% 0.04/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n003.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 00:36:03 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Drodi V3.6.0
% 16.49/2.45 % Refutation found
% 16.49/2.45 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 16.49/2.45 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 17.12/2.54 % Elapsed time: 2.177524 seconds
% 17.12/2.54 % CPU time: 17.009586 seconds
% 17.12/2.54 % Total memory used: 476.710 MB
% 17.12/2.54 % Net memory used: 472.040 MB
%------------------------------------------------------------------------------