TSTP Solution File: SWW322+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWW322+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n023.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 15.15s 2.88s
% Output : CNFRefutation 15.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 11 unt; 0 def)
% Number of atoms : 11 ( 10 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 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 : 45 ( 45 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1193,axiom,
! [V_n] : V_n != hAPP(c_Nat_OSuc,V_n),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2492,axiom,
! [V_Pa_2,T_c] : hAPP(c_Set_OCollect(T_c),V_Pa_2) = V_Pa_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5210,axiom,
! [V_R_2,V_Qa_2,V_Pa_2,T_e,T_c,T_d] : hAPP(hAPP(hAPP(c_COMBB(T_d,T_c,T_e),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(f5212,axiom,
! [V_R_2,V_Qa_2,V_Pa_2,T_c,T_e,T_d] : hAPP(hAPP(hAPP(c_COMBS(T_d,T_e,T_c),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(f8907,plain,
! [X0] : X0 != hAPP(c_Nat_OSuc,X0),
inference(cnf_transformation,[status(esa)],[f1193]) ).
fof(f12975,plain,
! [X0,X1] : hAPP(c_Set_OCollect(X0),X1) = X1,
inference(cnf_transformation,[status(esa)],[f2492]) ).
fof(f20040,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)],[f5210]) ).
fof(f20042,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)],[f5212]) ).
fof(f20893,plain,
! [X0,X1,X2,X3,X4,X5] : hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),X3),c_Set_OCollect(X4)),X5) = hAPP(hAPP(X3,X5),X5),
inference(paramodulation,[status(thm)],[f12975,f20042]) ).
fof(f20910,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)),c_Set_OCollect(X7)),X8) = hAPP(X6,hAPP(X8,X8)),
inference(paramodulation,[status(thm)],[f20040,f20893]) ).
fof(f21397,plain,
$false,
inference(resolution,[status(thm)],[f20910,f8907]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW322+1 : TPTP v8.1.2. Released v5.2.0.
% 0.11/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Apr 29 23:26:25 EDT 2024
% 0.19/0.34 % CPUTime :
% 0.78/0.95 % Drodi V3.6.0
% 15.15/2.88 % Refutation found
% 15.15/2.88 % SZS status Theorem for theBenchmark: Theorem is valid
% 15.15/2.88 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 15.93/2.95 % Elapsed time: 2.603901 seconds
% 15.93/2.95 % CPU time: 15.813905 seconds
% 15.93/2.95 % Total memory used: 743.584 MB
% 15.93/2.95 % Net memory used: 741.566 MB
%------------------------------------------------------------------------------