%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWW377+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 03:07:45 PM UTC 2026
% Result : Theorem 44.33s 7.06s
% Output : CNFRefutation 44.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 12 ( 12 unt; 0 def)
% Number of atoms : 12 ( 11 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 : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 0 con; 1-3 aty)
% Number of variables : 44 ( 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2097,axiom,
! [V_P_2,T_a] : hAPP(c_Set_OCollect(T_a),V_P_2) = V_P_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3468,axiom,
! [V_x,T_a] : hAPP(c_Fun_Oid(T_a),V_x) = V_x,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3866,axiom,
! [V_xs,V_x,T_a] : hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) != V_xs,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5222,axiom,
! [V_R_2,V_Q_2,V_P_2,T_a,T_c,T_b] : hAPP(hAPP(hAPP(c_COMBS(T_b,T_c,T_a),V_P_2),V_Q_2),V_R_2) = hAPP(hAPP(V_P_2,V_R_2),hAPP(V_Q_2,V_R_2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11733,plain,
! [X0,X1] : hAPP(c_Set_OCollect(X0),X1) = X1,
inference(cnf_transformation,[status(thm)],[f2097]) ).
fof(f15679,plain,
! [X0,X1] : hAPP(c_Fun_Oid(X0),X1) = X1,
inference(cnf_transformation,[status(thm)],[f3468]) ).
fof(f16727,plain,
! [X0,X1,X2] : hAPP(hAPP(c_List_Olist_OCons(X0),X1),X2) != X2,
inference(cnf_transformation,[status(thm)],[f3866]) ).
fof(f19953,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)],[f5222]) ).
fof(f37130,plain,
! [X0,X1,X2,X3,X4,X5] : hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),c_Set_OCollect(X3)),X4),X5) = hAPP(X5,hAPP(X4,X5)),
inference(paramodulation,[status(thm)],[f11733,f19953]) ).
fof(f51938,plain,
! [X0,X1,X2,X3,X4,X5] : hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),c_Set_OCollect(X3)),c_Fun_Oid(X4)),X5) = hAPP(X5,X5),
inference(paramodulation,[status(thm)],[f15679,f37130]) ).
fof(f58549,plain,
! [X0,X1,X2,X3,X4,X5] : hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),c_List_Olist_OCons(X3)),X4),X5) != hAPP(X4,X5),
inference(paramodulation,[status(thm)],[f19953,f16727]) ).
fof(f58642,plain,
$false,
inference(resolution,[status(thm)],[f58549,f51938]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW377+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.39 % Computer : n018.cluster.edu
% 0.14/0.39 % Model : x86_64 x86_64
% 0.14/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.39 % Memory : 8046.5625MB
% 0.14/0.39 % OS : Linux 6.8.0-71-generic
% 0.14/0.39 % CPULimit : 300
% 0.14/0.39 % WCLimit : 300
% 0.14/0.39 % DateTime : Mon Sep 21 09:51:58 UTC 2026
% 0.14/0.40 % CPUTime :
% 1.25/1.50 % Drodi V4.1.1
% 44.33/7.06 % Refutation found
% 44.33/7.06 % SZS status Theorem for theBenchmark: Theorem is valid
% 44.33/7.06 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.01/7.21 % Elapsed time: 6.795560 seconds
% 2.01/7.21 % CPU time: 45.026832 seconds
% 2.01/7.21 % Total memory used: 955.295 MB
% 2.01/7.21 % Net memory used: 946.861 MB
%------------------------------------------------------------------------------