%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV281-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 02:47:09 PM UTC 2026
% Result : Unsatisfiable 38.04s 10.40s
% Output : CNFRefutation 6.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of formulae : 52 ( 12 unt; 3 def)
% Number of atoms : 107 ( 11 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 105 ( 50 ~; 52 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 4 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-3 aty)
% Number of variables : 83 ( 83 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f65,axiom,
! [V_n] : c_less(V_n,c_Suc(V_n),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f68,axiom,
! [T_a,V_x] :
( c_lessequals(V_x,V_x,T_a)
| ~ class_Orderings_Oorder(T_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f243,axiom,
class_Orderings_Olinorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f453,axiom,
! [T] :
( class_Orderings_Oorder(T)
| ~ class_Orderings_Olinorder(T) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2087,axiom,
! [V_i,V_j] : ~ c_less(c_plus(V_i,V_j,tc_nat),V_i,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2264,axiom,
! [T_b,V_x,V_y,V_z] :
( c_lessequals(V_x,V_z,T_b)
| ~ c_lessequals(c_Orderings_Omax(V_x,V_y,T_b),V_z,T_b)
| ~ class_Orderings_Olinorder(T_b) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2265,axiom,
! [T_b,V_x,V_y,V_z] :
( c_lessequals(V_y,V_z,T_b)
| ~ c_lessequals(c_Orderings_Omax(V_x,V_y,T_b),V_z,T_b)
| ~ class_Orderings_Olinorder(T_b) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2935,axiom,
! [V_m,V_n] :
( c_lessequals(V_m,V_n,tc_nat)
| ~ c_less(V_m,c_Suc(V_n),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2936,axiom,
! [V_m,V_n] :
( c_less(V_m,c_Suc(V_n),tc_nat)
| ~ c_lessequals(V_m,V_n,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2937,axiom,
! [V_U,V_evs] :
( ~ c_lessequals(v_sko__urX(V_evs),V_U,tc_nat)
| ~ c_in(c_Message_Omsg_ONonce(V_U),c_Event_Oused(V_evs),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2938,negated_conjecture,
! [V_U,V_V] :
( c_in(c_Message_Omsg_ONonce(V_U),c_Event_Oused(v_evs),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(V_V),c_Event_Oused(v_evs_H),tc_Message_Omsg)
| V_U = V_V ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3026,plain,
! [X0] : c_less(X0,c_Suc(X0),tc_nat),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f3029,plain,
! [T_a] :
( ! [V_x] : c_lessequals(V_x,V_x,T_a)
| ~ class_Orderings_Oorder(T_a) ),
inference(miniscoping,[status(thm)],[f68]) ).
fof(f3030,plain,
! [X0,X1] :
( c_lessequals(X1,X1,X0)
| ~ class_Orderings_Oorder(X0) ),
inference(cnf_transformation,[status(thm)],[f3029]) ).
fof(f3221,plain,
class_Orderings_Olinorder(tc_nat),
inference(cnf_transformation,[status(thm)],[f243]) ).
fof(f3433,plain,
! [X0] :
( class_Orderings_Oorder(X0)
| ~ class_Orderings_Olinorder(X0) ),
inference(cnf_transformation,[status(thm)],[f453]) ).
fof(f5372,plain,
! [X0,X1] : ~ c_less(c_plus(X0,X1,tc_nat),X0,tc_nat),
inference(cnf_transformation,[status(thm)],[f2087]) ).
fof(f5616,plain,
! [T_b,V_x,V_z] :
( c_lessequals(V_x,V_z,T_b)
| ! [V_y] : ~ c_lessequals(c_Orderings_Omax(V_x,V_y,T_b),V_z,T_b)
| ~ class_Orderings_Olinorder(T_b) ),
inference(miniscoping,[status(thm)],[f2264]) ).
fof(f5617,plain,
! [X0,X1,X2,X3] :
( c_lessequals(X1,X3,X0)
| ~ c_lessequals(c_Orderings_Omax(X1,X2,X0),X3,X0)
| ~ class_Orderings_Olinorder(X0) ),
inference(cnf_transformation,[status(thm)],[f5616]) ).
fof(f5618,plain,
! [T_b,V_y,V_z] :
( c_lessequals(V_y,V_z,T_b)
| ! [V_x] : ~ c_lessequals(c_Orderings_Omax(V_x,V_y,T_b),V_z,T_b)
| ~ class_Orderings_Olinorder(T_b) ),
inference(miniscoping,[status(thm)],[f2265]) ).
fof(f5619,plain,
! [X0,X1,X2,X3] :
( c_lessequals(X2,X3,X0)
| ~ c_lessequals(c_Orderings_Omax(X1,X2,X0),X3,X0)
| ~ class_Orderings_Olinorder(X0) ),
inference(cnf_transformation,[status(thm)],[f5618]) ).
fof(f6525,plain,
! [X0,X1] :
( c_lessequals(X0,X1,tc_nat)
| ~ c_less(X0,c_Suc(X1),tc_nat) ),
inference(cnf_transformation,[status(thm)],[f2935]) ).
fof(f6526,plain,
! [X0,X1] :
( c_less(X0,c_Suc(X1),tc_nat)
| ~ c_lessequals(X0,X1,tc_nat) ),
inference(cnf_transformation,[status(thm)],[f2936]) ).
fof(f6527,plain,
! [X0,X1] :
( ~ c_lessequals(v_sko__urX(X1),X0,tc_nat)
| ~ c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(X1),tc_Message_Omsg) ),
inference(cnf_transformation,[status(thm)],[f2937]) ).
fof(f6528,plain,
! [V_U] :
( c_in(c_Message_Omsg_ONonce(V_U),c_Event_Oused(v_evs),tc_Message_Omsg)
| ! [V_V] :
( c_in(c_Message_Omsg_ONonce(V_V),c_Event_Oused(v_evs_H),tc_Message_Omsg)
| V_U = V_V ) ),
inference(miniscoping,[status(thm)],[f2938]) ).
fof(f6529,plain,
! [X0,X1] :
( c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_evs),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_evs_H),tc_Message_Omsg)
| X0 = X1 ),
inference(cnf_transformation,[status(thm)],[f6528]) ).
fof(f94774,plain,
! [X0] : c_lessequals(X0,X0,tc_nat),
inference(resolution,[status(thm)],[f6525,f3026]) ).
fof(f94792,plain,
! [X0,X1] : ~ c_lessequals(c_plus(c_Suc(X0),X1,tc_nat),X0,tc_nat),
inference(resolution,[status(thm)],[f6526,f5372]) ).
fof(f97705,definition,
( sQ499_spl
<=> class_Orderings_Olinorder(tc_nat) ),
introduced(definition,[new_symbols(definition,[sQ499_spl])],[split_symbol_definition]) ).
fof(f97707,plain,
( sQ499_spl
| ~ class_Orderings_Olinorder(tc_nat) ),
inference(component_clause,[status(thm)],[f97705]) ).
fof(f97712,plain,
( sQ499_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f97707,f3221]) ).
fof(f97713,plain,
sQ499_spl,
inference(contradiction_clause,[status(thm)],[f97712]) ).
fof(f99464,plain,
! [X0,X1,X2] :
( ~ class_Orderings_Oorder(X0)
| c_lessequals(X1,c_Orderings_Omax(X1,X2,X0),X0)
| ~ class_Orderings_Olinorder(X0) ),
inference(resolution,[status(thm)],[f5617,f3030]) ).
fof(f99469,plain,
! [X0,X1,X2] :
( c_lessequals(X1,c_Orderings_Omax(X1,X2,X0),X0)
| ~ class_Orderings_Olinorder(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f99464,f3433]) ).
fof(f99498,plain,
! [X0,X1,X2] :
( ~ class_Orderings_Oorder(X0)
| c_lessequals(X1,c_Orderings_Omax(X2,X1,X0),X0)
| ~ class_Orderings_Olinorder(X0) ),
inference(resolution,[status(thm)],[f5619,f3030]) ).
fof(f99504,plain,
! [X0,X1,X2] :
( c_lessequals(X1,c_Orderings_Omax(X2,X1,X0),X0)
| ~ class_Orderings_Olinorder(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f99498,f3433]) ).
fof(f103432,plain,
! [X0,X1] :
( c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_evs_H),tc_Message_Omsg)
| X0 = X1
| ~ c_lessequals(v_sko__urX(v_evs),X0,tc_nat) ),
inference(resolution,[status(thm)],[f6527,f6529]) ).
fof(f103434,plain,
! [X0,X1] :
( ~ c_lessequals(v_sko__urX(v_evs_H),X1,tc_nat)
| X0 = X1
| ~ c_lessequals(v_sko__urX(v_evs),X0,tc_nat) ),
inference(resolution,[status(thm)],[f103432,f6527]) ).
fof(f103478,plain,
! [X0] :
( ~ c_lessequals(v_sko__urX(v_evs_H),X0,tc_nat)
| v_sko__urX(v_evs) = X0 ),
inference(resolution,[status(thm)],[f103434,f94774]) ).
fof(f103492,plain,
! [X0] :
( ~ class_Orderings_Olinorder(tc_nat)
| v_sko__urX(v_evs) = c_Orderings_Omax(X0,v_sko__urX(v_evs_H),tc_nat) ),
inference(resolution,[status(thm)],[f103478,f99504]) ).
fof(f103494,plain,
v_sko__urX(v_evs) = v_sko__urX(v_evs_H),
inference(resolution,[status(thm)],[f103478,f94774]) ).
fof(f103496,definition,
! [X0] :
( sQ768_spl
<=> v_sko__urX(v_evs) = c_Orderings_Omax(X0,v_sko__urX(v_evs_H),tc_nat) ),
introduced(definition,[new_symbols(definition,[sQ768_spl])],[split_symbol_definition]) ).
fof(f103497,plain,
! [X0] :
( ~ sQ768_spl
| v_sko__urX(v_evs) = c_Orderings_Omax(X0,v_sko__urX(v_evs_H),tc_nat) ),
inference(component_clause,[status(thm)],[f103496]) ).
fof(f103499,plain,
( ~ sQ499_spl
| sQ768_spl ),
inference(split_clause,[status(thm)],[f103492,f103496,f97705]) ).
fof(f103934,plain,
! [X0] :
( ~ sQ768_spl
| v_sko__urX(v_evs_H) = c_Orderings_Omax(X0,v_sko__urX(v_evs_H),tc_nat) ),
inference(forward_demodulation,[status(thm)],[f103494,f103497]) ).
fof(f103939,plain,
! [X0] :
( ~ sQ768_spl
| c_lessequals(X0,v_sko__urX(v_evs_H),tc_nat)
| ~ class_Orderings_Olinorder(tc_nat) ),
inference(paramodulation,[status(thm)],[f103934,f99469]) ).
fof(f103951,definition,
! [X0] :
( sQ784_spl
<=> c_lessequals(X0,v_sko__urX(v_evs_H),tc_nat) ),
introduced(definition,[new_symbols(definition,[sQ784_spl])],[split_symbol_definition]) ).
fof(f103952,plain,
! [X0] :
( ~ sQ784_spl
| c_lessequals(X0,v_sko__urX(v_evs_H),tc_nat) ),
inference(component_clause,[status(thm)],[f103951]) ).
fof(f103954,plain,
( ~ sQ768_spl
| sQ784_spl
| ~ sQ499_spl ),
inference(split_clause,[status(thm)],[f103939,f97705,f103951,f103496]) ).
fof(f103971,plain,
( ~ sQ784_spl
| $false ),
inference(resolution,[status(thm)],[f103952,f94792]) ).
fof(f103981,plain,
~ sQ784_spl,
inference(contradiction_clause,[status(thm)],[f103971]) ).
fof(f103982,plain,
$false,
inference(sat_refutation,[status(thm)],[f97713,f103499,f103954,f103981]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV281-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/5.38 % Computer : n007.cluster.edu
% 0.10/5.38 % Model : x86_64 x86_64
% 0.10/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38 % Memory : 8046.5625MB
% 0.10/5.38 % OS : Linux 6.8.0-71-generic
% 0.10/5.38 % CPULimit : 300
% 0.10/5.38 % WCLimit : 300
% 0.10/5.38 % DateTime : Mon Sep 21 08:35:41 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.15/5.51 % Drodi V4.1.1
% 38.04/10.40 % Refutation found
% 38.04/10.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 38.04/10.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 6.39/10.55 % Elapsed time: 5.149612 seconds
% 6.39/10.55 % CPU time: 39.553084 seconds
% 6.39/10.55 % Total memory used: 848.913 MB
% 6.39/10.55 % Net memory used: 817.190 MB
%------------------------------------------------------------------------------