%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV281-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n016.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 : Tue Sep 29 01:20:43 PM UTC 2026
% Result : Unsatisfiable 0.30s 0.26s
% Output : Refutation 0.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 18 ( 10 unt; 0 def)
% Number of atoms : 28 ( 17 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 19 ( 9 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-3 aty)
% Number of variables : 24 ( 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0,X1] :
( c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_evs_H),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_evs),tc_Message_Omsg)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2,axiom,
! [X2,X0,X1] : c_List_Olist_ONil != c_List_Olist_OCons(X0,X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olist_Odistinct__1_0) ).
fof(f3,axiom,
! [X0,X1] : c_lessequals(X0,c_plus(X1,X0,tc_nat),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Ole__add2_0) ).
fof(f4,axiom,
! [X2,X0,X1] :
( c_plus(X0,X1,tc_nat) != c_plus(X2,X1,tc_nat)
| X0 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Onat__add__right__cancel_0) ).
fof(f5,axiom,
! [X0] : c_plus(c_0,X0,tc_nat) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oop_A_L_Oadd__0_0) ).
fof(f6,axiom,
! [X0,X1] :
( ~ c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(X1),tc_Message_Omsg)
| ~ c_lessequals(v_sko__urX(X1),X0,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_ONonce__supply__lemma_0) ).
fof(f7,plain,
! [X0] : c_lessequals(X0,X0,tc_nat),
inference(superposition,[],[f3,f5]) ).
fof(f8,plain,
! [X0,X1] :
( ~ c_lessequals(v_sko__urX(v_evs_H),X0,tc_nat)
| c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_evs),tc_Message_Omsg)
| X0 = X1 ),
inference(resolution,[],[f6,f1]) ).
fof(f11,plain,
! [X0] :
( c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_evs),tc_Message_Omsg)
| v_sko__urX(v_evs_H) = X0 ),
inference(resolution,[],[f8,f7]) ).
fof(f12,plain,
! [X0,X1] :
( c_plus(X1,X0,tc_nat) != X0
| c_0 = X1 ),
inference(superposition,[],[f4,f5]) ).
fof(f15,plain,
! [X0] :
( ~ c_lessequals(v_sko__urX(v_evs),X0,tc_nat)
| v_sko__urX(v_evs_H) = X0 ),
inference(resolution,[],[f11,f6]) ).
fof(f18,plain,
! [X0] : v_sko__urX(v_evs_H) = c_plus(X0,v_sko__urX(v_evs),tc_nat),
inference(resolution,[],[f15,f3]) ).
fof(f19,plain,
v_sko__urX(v_evs_H) = v_sko__urX(v_evs),
inference(resolution,[],[f15,f7]) ).
fof(f22,plain,
! [X0] : v_sko__urX(v_evs_H) = c_plus(X0,v_sko__urX(v_evs_H),tc_nat),
inference(forward_demodulation,[],[f18,f19]) ).
fof(f24,plain,
! [X0] :
( v_sko__urX(v_evs_H) != v_sko__urX(v_evs_H)
| c_0 = X0 ),
inference(superposition,[],[f12,f22]) ).
fof(f28,plain,
! [X0] : c_0 = X0,
inference(trivial_inequality_removal,[],[f24]) ).
fof(f44,plain,
c_List_Olist_ONil != c_0,
inference(superposition,[],[f2,f28]) ).
fof(f61,plain,
$false,
inference(forward_subsumption_resolution,[],[f44,f28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV281-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.19 % Computer : n016.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Mon Sep 28 10:29:18 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.22 Running first-order model finding
% 0.10/0.22 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.30/0.26 % (3534553)Will run a generic schedule for satisfiability detection.
% 0.30/0.26 % (3534561)dis+10_1_sil=32000:sp=arity:random_seed=3710485898:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.30/0.26 % (3534561) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3534553-3534561"...
% 0.30/0.26 % (3534561)...printing done.
% 0.30/0.26 % (3534559)% WARNING: option uhcvi not known.
% 0.30/0.26 % (3534561)Refutation found. Thanks to Tanya!
% 0.30/0.26 % SZS status Unsatisfiable for theBenchmark
% 0.30/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.30/0.26 % (3534561)------------------------------
% 0.30/0.26 % (3534561)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.30/0.26 % (3534561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.30/0.26 % (3534561)CaDiCaL version: 2.1.3
% 0.30/0.26 % (3534561)Termination reason: Refutation
% 0.30/0.26 % (3534561)Time elapsed: 0.001 s
% 0.30/0.26 % (3534561)Peak memory usage: 11 MB
% 0.30/0.26 % (3534561)Instructions burned: 2 (million)
% 0.30/0.26 % (3534553)Success in time 0.028 s
% 0.30/0.26 % Vampire exiting
%------------------------------------------------------------------------------