%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV823-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.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 02:49:37 PM UTC 2026
% Result : Unsatisfiable 137.48s 17.99s
% Output : CNFRefutation 60.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 22 ( 18 unt; 0 def)
% Number of atoms : 26 ( 25 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 15 ( 11 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-3 aty)
% Number of variables : 71 ( 71 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [T_a,V_P] : hAPP(c_Collect(T_a),V_P) = V_P,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f42,axiom,
! [V_m,V_n] : hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_m),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f152,axiom,
! [V_m,V_n] :
( V_n = c_HOL_Ozero__class_Ozero(tc_nat)
| hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != V_m ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f739,axiom,
! [V_m] : hAPP(c_Suc,V_m) != c_HOL_Ozero__class_Ozero(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f853,axiom,
! [V_m,V_n] : hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),hAPP(c_Suc,V_n)) = hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f940,axiom,
! [T_b,T_a,T_c,V_P,V_Q,V_R] : hAPP(hAPP(hAPP(c_COMBB(T_b,T_a,T_c),V_P),V_Q),V_R) = hAPP(V_P,hAPP(V_Q,V_R)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f942,axiom,
! [T_b,T_c,T_a,V_P,V_Q,V_R] : hAPP(hAPP(hAPP(c_COMBS(T_b,T_c,T_a),V_P),V_Q),V_R) = hAPP(hAPP(V_P,V_R),hAPP(V_Q,V_R)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f998,plain,
! [X0,X1] : hAPP(c_Collect(X0),X1) = X1,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f1064,plain,
! [X0,X1] : hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f1235,plain,
! [V_n] :
( V_n = c_HOL_Ozero__class_Ozero(tc_nat)
| ! [V_m] : hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != V_m ),
inference(miniscoping,[status(thm)],[f152]) ).
fof(f1236,plain,
! [X0,X1] :
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != X0 ),
inference(cnf_transformation,[status(thm)],[f1235]) ).
fof(f2208,plain,
! [X0] : hAPP(c_Suc,X0) != c_HOL_Ozero__class_Ozero(tc_nat),
inference(cnf_transformation,[status(thm)],[f739]) ).
fof(f2381,plain,
! [X0,X1] : hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),hAPP(c_Suc,X1)) = hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)),
inference(cnf_transformation,[status(thm)],[f853]) ).
fof(f2508,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(thm)],[f940]) ).
fof(f2510,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)],[f942]) ).
fof(f4324,plain,
! [X0,X1] :
( hAPP(c_Suc,X1) = c_HOL_Ozero__class_Ozero(tc_nat)
| hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)) != X0 ),
inference(paramodulation,[status(thm)],[f2381,f1236]) ).
fof(f4357,plain,
! [X0,X1] : hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)) != X0,
inference(forward_subsumption_resolution,[status(thm)],[f4324,f2208]) ).
fof(f8844,plain,
! [X0,X1] : hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)) != X1,
inference(paramodulation,[status(thm)],[f1064,f4357]) ).
fof(f9222,plain,
! [X0,X1,X2,X3,X4] : hAPP(c_Suc,hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),c_HOL_Oplus__class_Oplus(tc_nat)),X3),X4)) != hAPP(X3,X4),
inference(paramodulation,[status(thm)],[f2510,f8844]) ).
fof(f9269,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : hAPP(c_Suc,hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),hAPP(c_COMBS(X3,X4,X5),c_HOL_Oplus__class_Oplus(tc_nat))),X6),X7)) != hAPP(X7,hAPP(X6,X7)),
inference(paramodulation,[status(thm)],[f2510,f9222]) ).
fof(f19597,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : hAPP(c_Suc,hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),hAPP(c_COMBS(X3,X4,X5),c_HOL_Oplus__class_Oplus(tc_nat))),c_Collect(X6)),X7)) != hAPP(X7,X7),
inference(paramodulation,[status(thm)],[f998,f9269]) ).
fof(f19608,plain,
$false,
inference(resolution,[status(thm)],[f19597,f2508]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV823-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.43 % Computer : n020.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Mon Sep 21 09:28:32 UTC 2026
% 0.18/0.43 % CPUTime :
% 0.27/0.58 % Drodi V4.1.1
% 137.48/17.99 % Refutation found
% 137.48/17.99 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 137.48/17.99 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 120.42/19.22 % Elapsed time: 18.570127 seconds
% 120.42/19.22 % CPU time: 135.528493 seconds
% 120.42/19.22 % Total memory used: 1.026 GB
% 120.42/19.22 % Net memory used: 992.138 MB
%------------------------------------------------------------------------------