TSTP Solution File: SWW292+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWW292+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n007.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 20:49:58 EDT 2024
% Result : Theorem 7.00s 1.66s
% Output : CNFRefutation 7.00s
% 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 : 5 ( 5 usr; 1 con; 0-3 aty)
% Number of variables : 64 ( 64 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1634,axiom,
! [V_n] : hAPP(c_Nat_OSuc,V_n) != V_n,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5202,axiom,
! [V_P,T_a] : hAPP(c_COMBI(T_a),V_P) = V_P,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5204,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/sandbox2/benchmark/theBenchmark.p') ).
fof(f5206,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/sandbox2/benchmark/theBenchmark.p') ).
fof(f10070,plain,
! [X0] : hAPP(c_Nat_OSuc,X0) != X0,
inference(cnf_transformation,[status(esa)],[f1634]) ).
fof(f20049,plain,
! [X0,X1] : hAPP(c_COMBI(X0),X1) = X1,
inference(cnf_transformation,[status(esa)],[f5202]) ).
fof(f20051,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)],[f5204]) ).
fof(f20053,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)],[f5206]) ).
fof(f20931,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)],[f20051,f20053]) ).
fof(f20932,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)],[f20053,f20053]) ).
fof(f23141,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)],[f20931,f10070]) ).
fof(f24065,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)),c_COMBI(X6)),X7) != hAPP(X7,X7),
inference(paramodulation,[status(thm)],[f20049,f23141]) ).
fof(f24101,plain,
$false,
inference(resolution,[status(thm)],[f24065,f20932]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWW292+1 : TPTP v8.1.2. Released v5.2.0.
% 0.03/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n007.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 : Mon Apr 29 23:02:48 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.60/0.78 % Drodi V3.6.0
% 7.00/1.66 % Refutation found
% 7.00/1.66 % SZS status Theorem for theBenchmark: Theorem is valid
% 7.00/1.66 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 7.88/1.77 % Elapsed time: 1.403162 seconds
% 7.88/1.77 % CPU time: 7.546346 seconds
% 7.88/1.77 % Total memory used: 721.305 MB
% 7.88/1.77 % Net memory used: 716.499 MB
%------------------------------------------------------------------------------