%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV584-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.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 02:49:11 PM UTC 2026
% Result : Unsatisfiable 50.66s 21.44s
% Output : CNFRefutation 50.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 16 unt; 0 def)
% Number of atoms : 24 ( 23 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 15 ( 11 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-4 aty)
% Number of variables : 79 ( 79 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f944,axiom,
! [V_x,V_a] :
( V_a = c_HOL_Ozero__class_Ozero(tc_nat)
| V_x != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),V_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1078,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/sandbox2/benchmark/theBenchmark.p') ).
fof(f1465,axiom,
! [V_nat_H] : hAPP(c_Suc,V_nat_H) != c_HOL_Ozero__class_Ozero(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1490,axiom,
! [T_a,V_P] : hAPP(c_Collect(T_a),V_P) = V_P,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1539,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/sandbox2/benchmark/theBenchmark.p') ).
fof(f1541,axiom,
! [V_P,T_b,T_c,T_a,V_Q,V_R] : hAPP(hAPP(c_COMBS(V_P,T_b,T_c,T_a),V_Q),V_R) = hAPP(hAPP(V_P,V_R),hAPP(V_Q,V_R)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3270,plain,
! [V_a] :
( V_a = c_HOL_Ozero__class_Ozero(tc_nat)
| ! [V_x] : V_x != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),V_a) ),
inference(miniscoping,[status(thm)],[f944]) ).
fof(f3271,plain,
! [X0,X1] :
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| X0 != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) ),
inference(cnf_transformation,[status(thm)],[f3270]) ).
fof(f3479,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)],[f1078]) ).
fof(f4096,plain,
! [X0] : hAPP(c_Suc,X0) != c_HOL_Ozero__class_Ozero(tc_nat),
inference(cnf_transformation,[status(thm)],[f1465]) ).
fof(f4135,plain,
! [X0,X1] : hAPP(c_Collect(X0),X1) = X1,
inference(cnf_transformation,[status(thm)],[f1490]) ).
fof(f4214,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)],[f1539]) ).
fof(f4216,plain,
! [X0,X1,X2,X3,X4,X5] : hAPP(hAPP(c_COMBS(X0,X1,X2,X3),X4),X5) = hAPP(hAPP(X0,X5),hAPP(X4,X5)),
inference(cnf_transformation,[status(thm)],[f1541]) ).
fof(f5568,plain,
! [X0,X1] :
( hAPP(c_Suc,X1) = c_HOL_Ozero__class_Ozero(tc_nat)
| X0 != hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)) ),
inference(paramodulation,[status(thm)],[f3479,f3271]) ).
fof(f5573,plain,
! [X0,X1] : X0 != hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)),
inference(forward_subsumption_resolution,[status(thm)],[f5568,f4096]) ).
fof(f12378,plain,
! [X0,X1,X2,X3,X4] : X0 != hAPP(c_Suc,hAPP(hAPP(c_COMBS(c_HOL_Oplus__class_Oplus(tc_nat),X1,X2,X3),X4),X0)),
inference(paramodulation,[status(thm)],[f4216,f5573]) ).
fof(f12521,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : hAPP(X0,X1) != hAPP(c_Suc,hAPP(hAPP(c_COMBS(c_COMBS(c_HOL_Oplus__class_Oplus(tc_nat),X2,X3,X4),X5,X6,X7),X0),X1)),
inference(paramodulation,[status(thm)],[f4216,f12378]) ).
fof(f13181,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] : hAPP(X0,hAPP(X1,X0)) != hAPP(c_Suc,hAPP(hAPP(c_COMBS(c_COMBS(c_COMBS(c_HOL_Oplus__class_Oplus(tc_nat),X2,X3,X4),X5,X6,X7),X8,X9,X10),X1),X0)),
inference(paramodulation,[status(thm)],[f4216,f12521]) ).
fof(f21322,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] : hAPP(X0,X0) != hAPP(c_Suc,hAPP(hAPP(c_COMBS(c_COMBS(c_COMBS(c_HOL_Oplus__class_Oplus(tc_nat),X1,X2,X3),X4,X5,X6),X7,X8,X9),c_Collect(X10)),X0)),
inference(paramodulation,[status(thm)],[f4135,f13181]) ).
fof(f21354,plain,
$false,
inference(resolution,[status(thm)],[f21322,f4214]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWV584-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/5.45 % Computer : n015.cluster.edu
% 0.18/5.45 % Model : x86_64 x86_64
% 0.18/5.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/5.45 % Memory : 8046.5625MB
% 0.18/5.45 % OS : Linux 6.8.0-71-generic
% 0.18/5.45 % CPULimit : 300
% 0.18/5.45 % WCLimit : 300
% 0.18/5.45 % DateTime : Mon Sep 21 09:15:12 UTC 2026
% 0.18/5.45 % CPUTime :
% 0.21/5.68 % Drodi V4.1.1
% 50.66/21.44 % Refutation found
% 50.66/21.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 50.66/21.44 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 116.01/22.59 % Elapsed time: 16.917175 seconds
% 116.01/22.59 % CPU time: 122.535899 seconds
% 116.01/22.59 % Total memory used: 897.652 MB
% 116.01/22.59 % Net memory used: 842.405 MB
%------------------------------------------------------------------------------