%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWV282-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n026.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 : Fri Sep 25 03:12:44 PM UTC 2026
% Result : Unsatisfiable 33.00s 5.33s
% Output : Proof 33.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 8
% Syntax : Number of formulae : 57 ( 22 unt; 0 def)
% Number of atoms : 142 ( 47 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 116 ( 31 ~; 85 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-3 aty)
% Number of variables : 101 ( 10 sgn 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f6,axiom,
c_minus(V_m,V_m,tc_nat) = c_0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Odiff__self__eq__0_0) ).
fof(f6_nnf,plain,
! [V_m] : c_minus(V_m,V_m,tc_nat) = c_0,
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
! [V_m] : c_minus(V_m,V_m,tc_nat) = c_0,
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c6,plain,
c_minus(X0,X0,tc_nat) = c_0,
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(f5,axiom,
( c_lessequals(V_m,V_n,tc_nat)
| c_minus(V_m,V_n,tc_nat) != c_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Odiff__is__0__eq_0) ).
fof(f5_nnf,plain,
! [V_m,V_n] :
( c_lessequals(V_m,V_n,tc_nat)
| c_minus(V_m,V_n,tc_nat) != c_0 ),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
! [V_m,V_n] :
( c_lessequals(V_m,V_n,tc_nat)
| c_minus(V_m,V_n,tc_nat) != c_0 ),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c5,plain,
( c_lessequals(X0,X1,tc_nat)
| c_minus(X0,X1,tc_nat) != c_0 ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p135,plain,
c_lessequals(X0,X0,tc_nat),
inference(resolution,[status(thm)],[c6,c5]) ).
cnf(f12,axiom,
( ~ 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/sandbox/benchmark/theBenchmark.p',cls_Public_ONonce__supply__lemma_0) ).
fof(f12_nnf,plain,
! [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) ),
inference(nnf_transformation,[status(thm)],[f12]) ).
fof(f12_sk,plain,
! [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) ),
inference(skolemisation,[status(esa)],[f12_nnf]) ).
cnf(c12,plain,
( ~ 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(esa)],[f12_sk]) ).
cnf(f0,negated_conjecture,
( 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)
| c_in(c_Message_Omsg_ONonce(V_W),c_Event_Oused(v_evs_H_H),tc_Message_Omsg)
| V_U = V_V
| V_V = V_W
| V_U = V_W ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f0_nnf,plain,
! [V_U,V_W,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)
| c_in(c_Message_Omsg_ONonce(V_W),c_Event_Oused(v_evs_H_H),tc_Message_Omsg)
| V_U = V_V
| V_V = V_W
| V_U = V_W ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [V_U,V_W,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)
| c_in(c_Message_Omsg_ONonce(V_W),c_Event_Oused(v_evs_H_H),tc_Message_Omsg)
| V_U = V_V
| V_V = V_W
| V_U = V_W ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_evs),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(v_evs_H),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_evs_H_H),tc_Message_Omsg)
| X0 = X2
| X2 = X1
| X0 = X1 ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p259,plain,
( c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_evs),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(v_evs_H_H),tc_Message_Omsg)
| X1 = X0
| X0 = X2
| X1 = X2
| ~ c_lessequals(v_sko__urX(v_evs_H),X0,tc_nat) ),
inference(resolution,[status(thm)],[c12,c0]) ).
cnf(f7,axiom,
c_lessequals(V_n,c_plus(V_n,V_m,tc_nat),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Ole__add1_0) ).
fof(f7_nnf,plain,
! [V_n,V_m] : c_lessequals(V_n,c_plus(V_n,V_m,tc_nat),tc_nat),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
! [V_n,V_m] : c_lessequals(V_n,c_plus(V_n,V_m,tc_nat),tc_nat),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c7,plain,
c_lessequals(X0,c_plus(X0,X1,tc_nat),tc_nat),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p364,plain,
( 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_H),tc_Message_Omsg)
| X0 = c_plus(v_sko__urX(v_evs_H),X2,tc_nat)
| c_plus(v_sko__urX(v_evs_H),X2,tc_nat) = X1
| X0 = X1 ),
inference(resolution,[status(thm)],[p259,c7]) ).
cnf(f11,axiom,
~ c_less(c_plus(V_j,V_i,tc_nat),V_i,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Onot__add__less2_0) ).
fof(f11_nnf,plain,
! [V_j,V_i] : ~ c_less(c_plus(V_j,V_i,tc_nat),V_i,tc_nat),
inference(nnf_transformation,[status(thm)],[f11]) ).
fof(f11_sk,plain,
! [V_j,V_i] : ~ c_less(c_plus(V_j,V_i,tc_nat),V_i,tc_nat),
inference(skolemisation,[status(esa)],[f11_nnf]) ).
cnf(c11,plain,
~ c_less(c_plus(X0,X1,tc_nat),X1,tc_nat),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(p918,plain,
( ~ c_less(X1,X2,tc_nat)
| 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_H),tc_Message_Omsg)
| X0 = c_plus(v_sko__urX(v_evs_H),X2,tc_nat)
| X0 = X1 ),
inference(superposition,[status(thm)],[p364,c11]) ).
cnf(f8,axiom,
c_less(V_n,c_Suc(V_n),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_OlessI_0) ).
fof(f8_nnf,plain,
! [V_n] : c_less(V_n,c_Suc(V_n),tc_nat),
inference(nnf_transformation,[status(thm)],[f8]) ).
fof(f8_sk,plain,
! [V_n] : c_less(V_n,c_Suc(V_n),tc_nat),
inference(skolemisation,[status(esa)],[f8_nnf]) ).
cnf(c8,plain,
c_less(X0,c_Suc(X0),tc_nat),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(p940,plain,
( 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_H),tc_Message_Omsg)
| X0 = c_plus(v_sko__urX(v_evs_H),c_Suc(X1),tc_nat)
| X0 = X1 ),
inference(resolution,[status(thm)],[p918,c8]) ).
cnf(p949,plain,
( c_lessequals(v_sko__urX(v_evs_H),X0,tc_nat)
| 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_H),tc_Message_Omsg)
| X0 = X1 ),
inference(superposition,[status(thm)],[p940,c7]) ).
cnf(p967,plain,
( ~ c_lessequals(v_sko__urX(v_evs_H_H),X1,tc_nat)
| c_lessequals(v_sko__urX(v_evs_H),X0,tc_nat)
| c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_evs),tc_Message_Omsg)
| X0 = X1 ),
inference(resolution,[status(thm)],[p949,c12]) ).
cnf(p1001,plain,
( c_lessequals(v_sko__urX(v_evs_H),X0,tc_nat)
| c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_evs),tc_Message_Omsg)
| X0 = c_plus(v_sko__urX(v_evs_H_H),X1,tc_nat) ),
inference(resolution,[status(thm)],[p967,c7]) ).
cnf(p1009,plain,
( ~ c_less(X0,X1,tc_nat)
| c_lessequals(v_sko__urX(v_evs_H),X0,tc_nat)
| c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_evs),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[p1001,c11]) ).
cnf(p1030,plain,
( c_lessequals(v_sko__urX(v_evs_H),X0,tc_nat)
| c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_evs),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[p1009,c8]) ).
cnf(p1031,plain,
( ~ c_lessequals(v_sko__urX(v_evs),X0,tc_nat)
| c_lessequals(v_sko__urX(v_evs_H),X0,tc_nat) ),
inference(resolution,[status(thm)],[p1030,c12]) ).
cnf(p1081,plain,
c_lessequals(v_sko__urX(v_evs_H),c_plus(v_sko__urX(v_evs),X0,tc_nat),tc_nat),
inference(resolution,[status(thm)],[p1031,c7]) ).
cnf(f9,axiom,
( c_less(V_m,c_Suc(V_n),tc_nat)
| ~ c_lessequals(V_m,V_n,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oless__Suc__eq__le_1) ).
fof(f9_nnf,plain,
! [V_m,V_n] :
( c_less(V_m,c_Suc(V_n),tc_nat)
| ~ c_lessequals(V_m,V_n,tc_nat) ),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
! [V_m,V_n] :
( c_less(V_m,c_Suc(V_n),tc_nat)
| ~ c_lessequals(V_m,V_n,tc_nat) ),
inference(skolemisation,[status(esa)],[f9_nnf]) ).
cnf(c9,plain,
( c_less(X0,c_Suc(X1),tc_nat)
| ~ c_lessequals(X0,X1,tc_nat) ),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(p1082,plain,
c_less(v_sko__urX(v_evs_H),c_Suc(c_plus(v_sko__urX(v_evs),X0,tc_nat)),tc_nat),
inference(resolution,[status(thm)],[p1081,c9]) ).
cnf(p258,plain,
( c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_evs),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(v_evs_H),tc_Message_Omsg)
| X1 = X2
| X2 = X0
| X1 = X0
| ~ c_lessequals(v_sko__urX(v_evs_H_H),X0,tc_nat) ),
inference(resolution,[status(thm)],[c12,c0]) ).
cnf(p362,plain,
( c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_evs),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(v_evs_H),tc_Message_Omsg)
| X0 = X2
| X2 = c_plus(v_sko__urX(v_evs_H_H),X1,tc_nat)
| X0 = c_plus(v_sko__urX(v_evs_H_H),X1,tc_nat) ),
inference(resolution,[status(thm)],[p258,c7]) ).
cnf(p428,plain,
( ~ c_less(X2,X1,tc_nat)
| c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(v_evs),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_evs_H),tc_Message_Omsg)
| X2 = X0
| X0 = c_plus(v_sko__urX(v_evs_H_H),X1,tc_nat) ),
inference(superposition,[status(thm)],[p362,c11]) ).
cnf(p436,plain,
( c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_evs),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_evs_H),tc_Message_Omsg)
| X1 = X0
| X0 = c_plus(v_sko__urX(v_evs_H_H),c_Suc(X1),tc_nat) ),
inference(resolution,[status(thm)],[p428,c8]) ).
cnf(p445,plain,
( ~ c_less(X1,c_Suc(X0),tc_nat)
| 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(superposition,[status(thm)],[p436,c11]) ).
cnf(p1090,plain,
( c_in(c_Message_Omsg_ONonce(c_plus(v_sko__urX(v_evs),X0,tc_nat)),c_Event_Oused(v_evs),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_sko__urX(v_evs_H)),c_Event_Oused(v_evs_H),tc_Message_Omsg)
| c_plus(v_sko__urX(v_evs),X0,tc_nat) = v_sko__urX(v_evs_H) ),
inference(resolution,[status(thm)],[p1082,p445]) ).
cnf(p1197,plain,
( ~ c_lessequals(v_sko__urX(v_evs),c_plus(v_sko__urX(v_evs),X0,tc_nat),tc_nat)
| c_in(c_Message_Omsg_ONonce(v_sko__urX(v_evs_H)),c_Event_Oused(v_evs_H),tc_Message_Omsg)
| c_plus(v_sko__urX(v_evs),X0,tc_nat) = v_sko__urX(v_evs_H) ),
inference(resolution,[status(thm)],[p1090,c12]) ).
cnf(p1200,plain,
( c_in(c_Message_Omsg_ONonce(v_sko__urX(v_evs_H)),c_Event_Oused(v_evs_H),tc_Message_Omsg)
| c_plus(v_sko__urX(v_evs),X0,tc_nat) = v_sko__urX(v_evs_H) ),
inference(resolution,[status(thm)],[p1197,c7]) ).
cnf(p1211,plain,
( ~ c_less(v_sko__urX(v_evs_H),X0,tc_nat)
| c_in(c_Message_Omsg_ONonce(v_sko__urX(v_evs_H)),c_Event_Oused(v_evs_H),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[p1200,c11]) ).
cnf(p1219,plain,
c_in(c_Message_Omsg_ONonce(v_sko__urX(v_evs_H)),c_Event_Oused(v_evs_H),tc_Message_Omsg),
inference(resolution,[status(thm)],[p1211,c8]) ).
cnf(p1220,plain,
~ c_lessequals(v_sko__urX(v_evs_H),v_sko__urX(v_evs_H),tc_nat),
inference(resolution,[status(thm)],[p1219,c12]) ).
cnf(p2859,plain,
$false,
inference(resolution,[status(thm)],[p135,p1220]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV282-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.37 % Computer : n026.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Thu Sep 24 19:03:54 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 33.00/5.33 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 33.00/5.33 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------