TSTP Solution File: SWV685-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWV685-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n017.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 20:49:09 EDT 2024
% Result : Unsatisfiable 29.79s 4.19s
% Output : CNFRefutation 29.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 17 ( 14 unt; 0 def)
% Number of atoms : 20 ( 14 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 7 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-3 aty)
% Number of variables : 66 ( 66 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f129,axiom,
! [T_a,V_a] :
( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
| hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f317,axiom,
! [V_n] : V_n != hAPP(c_Suc,V_n),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f506,axiom,
! [T_b,T_a,T_c,V_P,V_Q,V_R] : hAPP(hAPP(hAPP(c_COMBB(T_b,T_a,T_c),V_P),V_Q),V_R) = hAPP(V_P,hAPP(V_Q,V_R)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f508,axiom,
! [T_b,T_c,T_a,V_P,V_Q,V_R] : hAPP(hAPP(hAPP(c_COMBS(T_b,T_c,T_a),V_P),V_Q),V_R) = hAPP(hAPP(V_P,V_R),hAPP(V_Q,V_R)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f566,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f808,plain,
! [T_a] :
( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
| ! [V_a] : hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ),
inference(miniscoping,[status(esa)],[f129]) ).
fof(f809,plain,
! [X0,X1] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
| hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
inference(cnf_transformation,[status(esa)],[f808]) ).
fof(f1129,plain,
! [X0] : X0 != hAPP(c_Suc,X0),
inference(cnf_transformation,[status(esa)],[f317]) ).
fof(f1444,plain,
! [X0,X1,X2,X3,X4,X5] : hAPP(hAPP(hAPP(c_COMBB(X0,X1,X2),X3),X4),X5) = hAPP(X3,hAPP(X4,X5)),
inference(cnf_transformation,[status(esa)],[f506]) ).
fof(f1446,plain,
! [X0,X1,X2,X3,X4,X5] : hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),X3),X4),X5) = hAPP(hAPP(X3,X5),hAPP(X4,X5)),
inference(cnf_transformation,[status(esa)],[f508]) ).
fof(f1514,plain,
class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex),
inference(cnf_transformation,[status(esa)],[f566]) ).
fof(f1603,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] : hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),hAPP(c_COMBB(X3,X4,X5),X6)),X7),X8) = hAPP(X6,hAPP(X8,hAPP(X7,X8))),
inference(paramodulation,[status(thm)],[f1444,f1446]) ).
fof(f1604,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] : hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),X3),X4),X5) = hAPP(hAPP(hAPP(c_COMBS(X6,X7,X8),X3),X4),X5),
inference(paramodulation,[status(thm)],[f1446,f1446]) ).
fof(f1903,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : hAPP(X0,hAPP(X1,X0)) != hAPP(hAPP(hAPP(c_COMBS(X2,X3,X4),hAPP(c_COMBB(X5,X6,X7),c_Suc)),X1),X0),
inference(paramodulation,[status(thm)],[f1603,f1129]) ).
fof(f3628,plain,
! [X0] : hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)),X0) = X0,
inference(resolution,[status(thm)],[f809,f1514]) ).
fof(f3648,plain,
! [X0,X1,X2,X3,X4,X5,X6] : hAPP(X0,X0) != hAPP(hAPP(hAPP(c_COMBS(X1,X2,X3),hAPP(c_COMBB(X4,X5,X6),c_Suc)),hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex))),X0),
inference(paramodulation,[status(thm)],[f3628,f1903]) ).
fof(f6234,plain,
$false,
inference(resolution,[status(thm)],[f3648,f1604]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV685-1 : TPTP v8.1.2. Released v4.1.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n017.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 00:29:18 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.40 % Drodi V3.6.0
% 29.79/4.19 % Refutation found
% 29.79/4.19 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 29.79/4.19 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 29.79/4.23 % Elapsed time: 3.861297 seconds
% 29.79/4.23 % CPU time: 30.131602 seconds
% 29.79/4.23 % Total memory used: 577.628 MB
% 29.79/4.23 % Net memory used: 573.059 MB
%------------------------------------------------------------------------------