TSTP Solution File: SCT089-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SCT089-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n032.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 12:33:12 EDT 2023
% Result : Unsatisfiable 20.44s 2.91s
% Output : CNFRefutation 20.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 18 ( 14 unt; 0 def)
% Number of atoms : 22 ( 21 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 6 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-5 aty)
% Number of variables : 54 (; 54 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f162,axiom,
! [V_nat_H] : c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_nat_H),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f188,axiom,
! [V_m,V_n] : hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_m),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f195,axiom,
! [V_m,V_n] :
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != V_m
| V_n = c_HOL_Ozero__class_Ozero(tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f327,axiom,
! [V_n] : hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),V_n) = V_n,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f754,axiom,
! [V_P,T_b,T_a,T_c,V_Q,V_R] : hAPP(hAPP(c_COMBB(V_P,T_b,T_a,T_c),V_Q),V_R) = hAPP(V_P,hAPP(V_Q,V_R)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f756,axiom,
! [V_P,V_Q,T_b,T_c,T_a,V_R] : hAPP(c_COMBS(V_P,V_Q,T_b,T_c,T_a),V_R) = hAPP(hAPP(V_P,V_R),hAPP(V_Q,V_R)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1068,plain,
! [X0] : c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(X0),
inference(cnf_transformation,[status(esa)],[f162]) ).
fof(f1106,plain,
! [X0,X1] : hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),
inference(cnf_transformation,[status(esa)],[f188]) ).
fof(f1117,plain,
! [V_n] :
( ! [V_m] : hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != V_m
| V_n = c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(miniscoping,[status(esa)],[f195]) ).
fof(f1118,plain,
! [X0,X1] :
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != X0
| X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(cnf_transformation,[status(esa)],[f1117]) ).
fof(f1335,plain,
! [X0] : hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X0) = X0,
inference(cnf_transformation,[status(esa)],[f327]) ).
fof(f2004,plain,
! [X0,X1,X2,X3,X4,X5] : hAPP(hAPP(c_COMBB(X0,X1,X2,X3),X4),X5) = hAPP(X0,hAPP(X4,X5)),
inference(cnf_transformation,[status(esa)],[f754]) ).
fof(f2006,plain,
! [X0,X1,X2,X3,X4,X5] : hAPP(c_COMBS(X0,X1,X2,X3,X4),X5) = hAPP(hAPP(X0,X5),hAPP(X1,X5)),
inference(cnf_transformation,[status(esa)],[f756]) ).
fof(f2153,plain,
! [X0,X1,X2,X3,X4] : hAPP(c_COMBS(X0,hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X1,X2,X3),X4) = hAPP(hAPP(X0,X4),X4),
inference(paramodulation,[status(thm)],[f1335,f2006]) ).
fof(f2373,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : hAPP(c_COMBS(c_COMBB(X0,X1,X2,X3),hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X4,X5,X6),X7) = hAPP(X0,hAPP(X7,X7)),
inference(paramodulation,[status(thm)],[f2004,f2153]) ).
fof(f4353,plain,
! [X0,X1] :
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != X1
| X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(paramodulation,[status(thm)],[f1106,f1118]) ).
fof(f4744,plain,
! [X0] : X0 = c_HOL_Ozero__class_Ozero(tc_nat),
inference(resolution,[status(thm)],[f2373,f4353]) ).
fof(f4745,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f1068,f4744]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SCT089-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.25 % Computer : n032.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 300
% 0.06/0.25 % DateTime : Tue May 30 09:37:16 EDT 2023
% 0.06/0.26 % CPUTime :
% 0.06/0.29 % Drodi V3.5.1
% 20.44/2.91 % Refutation found
% 20.44/2.91 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 20.44/2.91 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 20.44/2.95 % Elapsed time: 2.677569 seconds
% 20.44/2.95 % CPU time: 20.793755 seconds
% 20.44/2.95 % Memory used: 486.326 MB
%------------------------------------------------------------------------------