TSTP Solution File: SWW325+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWW325+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n011.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 266.74s 34.29s
% Output : CNFRefutation 266.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 15 ( 15 unt; 0 def)
% Number of atoms : 15 ( 14 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 1 con; 0-3 aty)
% Number of variables : 55 ( 55 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3623,axiom,
! [V_A_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)) = V_A_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3634,axiom,
! [V_Pa_2,T_b] : hAPP(c_Set_OCollect(T_b),V_Pa_2) = V_Pa_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4395,axiom,
! [V_x,T_a,V_xs] : V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5188,axiom,
! [V_R_2,V_Q_2,V_Pa_2,T_b,T_d,T_c] : hAPP(hAPP(hAPP(c_COMBC(T_c,T_d,T_b),V_Pa_2),V_Q_2),V_R_2) = hAPP(hAPP(V_Pa_2,V_R_2),V_Q_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5189,axiom,
! [V_R_2,V_Q_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_Q_2),V_R_2) = hAPP(hAPP(V_Pa_2,V_R_2),hAPP(V_Q_2,V_R_2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16065,plain,
! [X0,X1] : hAPP(c_Set_OCollect(X0),hAPP(hAPP(c_COMBC(X0,tc_fun(X0,tc_HOL_Obool),tc_HOL_Obool),c_member(X0)),X1)) = X1,
inference(cnf_transformation,[status(esa)],[f3623]) ).
fof(f16093,plain,
! [X0,X1] : hAPP(c_Set_OCollect(X0),X1) = X1,
inference(cnf_transformation,[status(esa)],[f3634]) ).
fof(f18034,plain,
! [X0,X1,X2] : X0 != hAPP(hAPP(c_List_Olist_OCons(X1),X2),X0),
inference(cnf_transformation,[status(esa)],[f4395]) ).
fof(f19759,plain,
! [X0,X1,X2,X3,X4,X5] : hAPP(hAPP(hAPP(c_COMBC(X0,X1,X2),X3),X4),X5) = hAPP(hAPP(X3,X5),X4),
inference(cnf_transformation,[status(esa)],[f5188]) ).
fof(f19760,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)],[f5189]) ).
fof(f23790,plain,
! [X0,X1] : hAPP(hAPP(c_COMBC(X0,tc_fun(X0,tc_HOL_Obool),tc_HOL_Obool),c_member(X0)),X1) = X1,
inference(backward_demodulation,[status(thm)],[f16093,f16065]) ).
fof(f30744,plain,
! [X0,X1,X2] : hAPP(X0,X1) = hAPP(hAPP(c_member(X2),X1),X0),
inference(paramodulation,[status(thm)],[f23790,f19759]) ).
fof(f40623,plain,
! [X0,X1,X2,X3,X4,X5] : hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),c_member(X3)),X4),X5) = hAPP(hAPP(X4,X5),X5),
inference(paramodulation,[status(thm)],[f30744,f19760]) ).
fof(f40869,plain,
! [X0,X1,X2,X3,X4,X5] : hAPP(X0,X1) != hAPP(hAPP(hAPP(c_COMBS(X2,X3,X4),c_List_Olist_OCons(X5)),X0),X1),
inference(paramodulation,[status(thm)],[f19760,f18034]) ).
fof(f41563,plain,
$false,
inference(resolution,[status(thm)],[f40623,f40869]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWW325+1 : TPTP v8.1.2. Released v5.2.0.
% 0.03/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n011.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Apr 29 23:04:31 EDT 2024
% 0.13/0.36 % CPUTime :
% 0.61/0.78 % Drodi V3.6.0
% 266.74/34.29 % Refutation found
% 266.74/34.29 % SZS status Theorem for theBenchmark: Theorem is valid
% 266.74/34.29 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 268.41/34.53 % Elapsed time: 34.153403 seconds
% 268.41/34.53 % CPU time: 267.685154 seconds
% 268.41/34.53 % Total memory used: 1.774 GB
% 268.41/34.53 % Net memory used: 1.648 GB
%------------------------------------------------------------------------------