TSTP Solution File: SWW330+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWW330+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n029.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 20:50:03 EDT 2024
% Result : Theorem 20.61s 3.41s
% Output : CNFRefutation 20.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 13 ( 13 unt; 0 def)
% Number of atoms : 13 ( 12 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-3 aty)
% Number of variables : 61 ( 61 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f58,axiom,
! [V_n] : hAPP(c_Nat_OSuc,V_n) != V_n,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2513,axiom,
! [V_k] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_k) = V_k,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5206,axiom,
! [V_R_2,V_Qa_2,V_Pa_2,T_d,T_b,T_c] : hAPP(hAPP(hAPP(c_COMBB(T_c,T_b,T_d),V_Pa_2),V_Qa_2),V_R_2) = hAPP(V_Pa_2,hAPP(V_Qa_2,V_R_2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5208,axiom,
! [V_R_2,V_Qa_2,V_Pa_2,T_b,T_d,T_c] : hAPP(hAPP(hAPP(c_COMBS(T_c,T_d,T_b),V_Pa_2),V_Qa_2),V_R_2) = hAPP(hAPP(V_Pa_2,V_R_2),hAPP(V_Qa_2,V_R_2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5393,plain,
! [X0] : hAPP(c_Nat_OSuc,X0) != X0,
inference(cnf_transformation,[status(esa)],[f58]) ).
fof(f13140,plain,
! [X0] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X0) = X0,
inference(cnf_transformation,[status(esa)],[f2513]) ).
fof(f20008,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)],[f5206]) ).
fof(f20010,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)],[f5208]) ).
fof(f20833,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)],[f20008,f20010]) ).
fof(f20835,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)],[f20010,f20010]) ).
fof(f22061,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),hAPP(c_COMBB(X3,X4,X5),c_Nat_OSuc)),X6),X7) != hAPP(X7,hAPP(X6,X7)),
inference(paramodulation,[status(thm)],[f20833,f5393]) ).
fof(f23297,plain,
! [X0,X1,X2,X3,X4,X5,X6] : hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),hAPP(c_COMBB(X3,X4,X5),c_Nat_OSuc)),c_Int_Onumber__class_Onumber__of(tc_Int_Oint)),X6) != hAPP(X6,X6),
inference(paramodulation,[status(thm)],[f13140,f22061]) ).
fof(f23324,plain,
$false,
inference(resolution,[status(thm)],[f23297,f20835]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW330+1 : TPTP v8.1.2. Released v5.2.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n029.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 : Mon Apr 29 23:28:49 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.67/0.85 % Drodi V3.6.0
% 20.61/3.41 % Refutation found
% 20.61/3.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 20.61/3.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 21.02/3.47 % Elapsed time: 3.098384 seconds
% 21.02/3.47 % CPU time: 20.402854 seconds
% 21.02/3.47 % Total memory used: 836.704 MB
% 21.02/3.47 % Net memory used: 834.831 MB
%------------------------------------------------------------------------------