%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV585-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : 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 02:49:11 PM UTC 2026
% Result : Unsatisfiable 143.32s 18.65s
% Output : CNFRefutation 143.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 13
% Syntax : Number of formulae : 46 ( 18 unt; 0 def)
% Number of atoms : 84 ( 19 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 83 ( 45 ~; 38 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-3 aty)
% Number of variables : 56 ( 56 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f200,axiom,
! [V_x] :
( ~ c_Parity_Oeven__odd__class_Oeven(V_x,tc_nat)
| c_HOL_Otimes__class_Otimes(c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),c_Divides_Odiv__class_Odiv(V_x,c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat),tc_nat) = V_x ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f324,axiom,
! [V_m,V_n] : c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),c_Suc(V_m),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f405,axiom,
! [V_x] :
( c_Parity_Oeven__odd__class_Oeven(V_x,tc_nat)
| c_Suc(c_HOL_Otimes__class_Otimes(c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),c_Divides_Odiv__class_Odiv(V_x,c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat),tc_nat)) = V_x ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f433,axiom,
! [V_n,V_m] : c_HOL_Otimes__class_Otimes(V_n,c_Divides_Odiv__class_Odiv(V_m,V_n,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(V_m,c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f469,axiom,
c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat) = c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f508,axiom,
! [V_m,V_n] :
( ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
| ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f535,axiom,
! [V_n,V_m] :
( V_m = V_n
| c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
| c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f549,axiom,
! [T_a,V_x,V_z,V_y] :
( ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
| ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
| c_HOL_Oord__class_Oless(V_x,V_z,T_a)
| ~ class_Orderings_Opreorder(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f552,axiom,
! [V_k,V_m,V_n] :
( ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_m,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_n,tc_nat),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f558,negated_conjecture,
c_HOL_Oord__class_Oless(v_x,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),v_n,tc_nat),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f559,negated_conjecture,
! [V_xa] :
( ~ c_HOL_Oord__class_Oless(V_xa,v_n,tc_nat)
| v_x != c_Suc(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),V_xa,tc_nat)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f560,negated_conjecture,
! [V_xa] :
( ~ c_HOL_Oord__class_Oless(V_xa,v_n,tc_nat)
| v_x != c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),V_xa,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f584,axiom,
class_Orderings_Opreorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f956,plain,
! [X0] :
( X0 = c_HOL_Otimes__class_Otimes(c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),c_Divides_Odiv__class_Odiv(X0,c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat),tc_nat)
| ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
inference(cnf_transformation,[status(thm)],[f200]) ).
fof(f1161,plain,
! [X0,X1] : c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_Suc(X0),tc_nat),
inference(cnf_transformation,[status(thm)],[f324]) ).
fof(f1292,plain,
! [X0] :
( c_Suc(c_HOL_Otimes__class_Otimes(c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),c_Divides_Odiv__class_Odiv(X0,c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat),tc_nat)) = X0
| c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
inference(cnf_transformation,[status(thm)],[f405]) ).
fof(f1338,plain,
! [X0,X1] : c_HOL_Ominus__class_Ominus(X0,c_Divides_Odiv__class_Omod(X0,X1,tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Odiv(X0,X1,tc_nat),tc_nat),
inference(cnf_transformation,[status(thm)],[f433]) ).
fof(f1390,plain,
c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat) = c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),
inference(cnf_transformation,[status(thm)],[f469]) ).
fof(f1440,plain,
! [X0,X1] :
( ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
inference(cnf_transformation,[status(thm)],[f508]) ).
fof(f1480,plain,
! [X0,X1] :
( X1 = X0
| c_HOL_Oord__class_Oless(X1,X0,tc_nat)
| c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(cnf_transformation,[status(thm)],[f535]) ).
fof(f1503,plain,
! [T_a,V_x,V_y] :
( ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
| ! [V_z] :
( ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
| c_HOL_Oord__class_Oless(V_x,V_z,T_a)
| ~ class_Orderings_Opreorder(T_a) ) ),
inference(miniscoping,[status(thm)],[f549]) ).
fof(f1504,plain,
! [X0,X1,X2,X3] :
( c_HOL_Oord__class_Oless(X3,X2,X0)
| ~ c_HOL_Oord__class_Oless(X3,X1,X0)
| ~ c_HOL_Oord__class_Oless(X1,X2,X0)
| ~ class_Orderings_Opreorder(X0) ),
inference(cnf_transformation,[status(thm)],[f1503]) ).
fof(f1509,plain,
! [V_m,V_n] :
( ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
| ! [V_k] : c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_m,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_n,tc_nat),tc_nat) ),
inference(miniscoping,[status(thm)],[f552]) ).
fof(f1510,plain,
! [X0,X1,X2] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Suc(X2),X0,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(X2),X1,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(cnf_transformation,[status(thm)],[f1509]) ).
fof(f1516,plain,
c_HOL_Oord__class_Oless(v_x,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),v_n,tc_nat),tc_nat),
inference(cnf_transformation,[status(thm)],[f558]) ).
fof(f1517,plain,
! [X0] :
( ~ c_HOL_Oord__class_Oless(X0,v_n,tc_nat)
| c_Suc(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),X0,tc_nat)) != v_x ),
inference(cnf_transformation,[status(thm)],[f559]) ).
fof(f1518,plain,
! [X0] :
( ~ c_HOL_Oord__class_Oless(X0,v_n,tc_nat)
| c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),X0,tc_nat) != v_x ),
inference(cnf_transformation,[status(thm)],[f560]) ).
fof(f1542,plain,
class_Orderings_Opreorder(tc_nat),
inference(cnf_transformation,[status(thm)],[f584]) ).
fof(f1590,plain,
! [X0] :
( ~ class_Orderings_Opreorder(tc_nat)
| c_HOL_Oord__class_Oless(v_x,X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),v_n,tc_nat),X0,tc_nat) ),
inference(resolution,[status(thm)],[f1504,f1516]) ).
fof(f1950,plain,
! [X0] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),v_n,tc_nat),X0,tc_nat)
| c_HOL_Oord__class_Oless(v_x,X0,tc_nat) ),
inference(backward_subsumption_resolution,[status(thm)],[f1590,f1542]) ).
fof(f2339,plain,
! [X0] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),v_n,tc_nat),X0,tc_nat)
| c_HOL_Oord__class_Oless(v_x,X0,tc_nat) ),
inference(backward_demodulation,[status(thm)],[f1390,f1950]) ).
fof(f2343,plain,
! [X0] :
( v_x != c_Suc(c_HOL_Otimes__class_Otimes(c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),X0,tc_nat))
| ~ c_HOL_Oord__class_Oless(X0,v_n,tc_nat) ),
inference(backward_demodulation,[status(thm)],[f1390,f1517]) ).
fof(f2344,plain,
! [X0] :
( ~ c_HOL_Oord__class_Oless(X0,v_n,tc_nat)
| c_HOL_Otimes__class_Otimes(c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),X0,tc_nat) != v_x ),
inference(backward_demodulation,[status(thm)],[f1390,f1518]) ).
fof(f2345,plain,
c_HOL_Oord__class_Oless(v_x,c_HOL_Otimes__class_Otimes(c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),v_n,tc_nat),tc_nat),
inference(backward_demodulation,[status(thm)],[f1390,f1516]) ).
fof(f3962,plain,
! [X0] :
( c_HOL_Oord__class_Oless(v_x,c_HOL_Otimes__class_Otimes(c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),X0,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(v_n,X0,tc_nat) ),
inference(resolution,[status(thm)],[f2339,f1510]) ).
fof(f4678,plain,
! [X0,X1] : ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat),
inference(resolution,[status(thm)],[f1161,f1440]) ).
fof(f6836,plain,
! [X0,X1] : ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Odiv(X0,X1,tc_nat),tc_nat),tc_nat),
inference(paramodulation,[status(thm)],[f1338,f4678]) ).
fof(f12383,plain,
( ~ c_Parity_Oeven__odd__class_Oeven(v_x,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Odiv(v_x,c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat),v_n,tc_nat) ),
inference(resolution,[status(thm)],[f956,f2344]) ).
fof(f20886,plain,
! [X0] :
( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
| v_x != X0
| ~ c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Odiv(X0,c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat),v_n,tc_nat) ),
inference(paramodulation,[status(thm)],[f1292,f2343]) ).
fof(f21041,plain,
( c_Parity_Oeven__odd__class_Oeven(v_x,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Odiv(v_x,c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat),v_n,tc_nat) ),
inference(destructive_equality_resolution,[status(thm)],[f20886]) ).
fof(f21042,plain,
~ c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Odiv(v_x,c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat),v_n,tc_nat),
inference(forward_subsumption_resolution,[status(thm)],[f21041,f12383]) ).
fof(f26696,plain,
~ c_HOL_Oord__class_Oless(v_n,c_Divides_Odiv__class_Odiv(v_x,c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat),tc_nat),
inference(resolution,[status(thm)],[f3962,f6836]) ).
fof(f28772,plain,
( v_n = c_Divides_Odiv__class_Odiv(v_x,c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat)
| c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Odiv(v_x,c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat),v_n,tc_nat) ),
inference(resolution,[status(thm)],[f26696,f1480]) ).
fof(f28775,plain,
v_n = c_Divides_Odiv__class_Odiv(v_x,c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat),
inference(forward_subsumption_resolution,[status(thm)],[f28772,f21042]) ).
fof(f28784,plain,
~ c_HOL_Oord__class_Oless(v_x,c_HOL_Otimes__class_Otimes(c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),v_n,tc_nat),tc_nat),
inference(paramodulation,[status(thm)],[f28775,f6836]) ).
fof(f28790,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f28784,f2345]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV585-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.42 % Computer : n018.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Mon Sep 21 09:13:59 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.49 % Drodi V4.1.1
% 143.32/18.65 % Refutation found
% 143.32/18.65 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 143.32/18.65 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 9.58/19.19 % Elapsed time: 18.751644 seconds
% 9.58/19.19 % CPU time: 145.056257 seconds
% 9.58/19.19 % Total memory used: 682.119 MB
% 9.58/19.19 % Net memory used: 639.985 MB
%------------------------------------------------------------------------------