%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWW320+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:07:38 PM UTC 2026
% Result : Theorem 109.23s 22.76s
% Output : CNFRefutation 109.23s
% 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 ( 4 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; 0-3 aty)
% Number of variables : 49 ( 49 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3412,axiom,
! [V_x,T_a] : hAPP(c_Fun_Oid(T_a),V_x) = V_x,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3416,axiom,
c_Int_Oring__1__class_Oof__int(tc_Int_Oint) = c_Fun_Oid(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3766,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(f5208,axiom,
! [V_P,T_a] : hAPP(c_COMBI(T_a),V_P) = V_P,
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(f15457,plain,
! [X0,X1] : X0 = hAPP(c_Fun_Oid(X1),X0),
inference(cnf_transformation,[status(thm)],[f3412]) ).
fof(f15461,plain,
c_Int_Oring__1__class_Oof__int(tc_Int_Oint) = c_Fun_Oid(tc_Int_Oint),
inference(cnf_transformation,[status(thm)],[f3416]) ).
fof(f16389,plain,
! [X0,X1,X2] : hAPP(hAPP(c_List_Olist_OCons(X0),X1),X2) != X2,
inference(cnf_transformation,[status(thm)],[f3766]) ).
fof(f20037,plain,
! [X0,X1] : X0 = hAPP(c_COMBI(X1),X0),
inference(cnf_transformation,[status(thm)],[f5208]) ).
fof(f20041,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(thm)],[f5212]) ).
fof(f24387,plain,
! [X0,X1,X2,X3,X4,X5] : hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),X3),c_COMBI(X4)),X5) = hAPP(hAPP(X3,X5),X5),
inference(paramodulation,[status(thm)],[f20037,f20041]) ).
fof(f25412,plain,
! [X0,X1,X2,X3,X4,X5] : hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),c_Fun_Oid(X3)),c_COMBI(X4)),X5) = hAPP(X5,X5),
inference(paramodulation,[status(thm)],[f15457,f24387]) ).
fof(f27408,plain,
! [X0,X1,X2,X3,X4] : hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),c_Int_Oring__1__class_Oof__int(tc_Int_Oint)),c_COMBI(X3)),X4) = hAPP(X4,X4),
inference(paramodulation,[status(thm)],[f15461,f25412]) ).
fof(f35041,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)],[f20041,f16389]) ).
fof(f36090,plain,
$false,
inference(resolution,[status(thm)],[f35041,f27408]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW320+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/5.39 % Computer : n006.cluster.edu
% 0.13/5.39 % Model : x86_64 x86_64
% 0.13/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/5.39 % Memory : 8046.5625MB
% 0.13/5.39 % OS : Linux 6.8.0-71-generic
% 0.13/5.39 % CPULimit : 300
% 0.13/5.39 % WCLimit : 300
% 0.13/5.39 % DateTime : Mon Sep 21 09:47:19 UTC 2026
% 0.13/5.40 % CPUTime :
% 0.78/6.07 % Drodi V4.1.1
% 109.23/22.76 % Refutation found
% 109.23/22.76 % SZS status Theorem for theBenchmark: Theorem is valid
% 109.23/22.76 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 33.95/22.90 % Elapsed time: 17.482661 seconds
% 33.95/22.90 % CPU time: 132.769141 seconds
% 33.95/22.90 % Total memory used: 1.474 GB
% 33.95/22.90 % Net memory used: 1.421 GB
%------------------------------------------------------------------------------