%------------------------------------------------------------------------------
% File : Vampire---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 THM
% Computer : n017.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 01:08:39 PM UTC 2026
% Result : Unsatisfiable 3.47s 1.25s
% Output : Refutation 3.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 11 unt; 0 def)
% Number of atoms : 31 ( 20 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 21 ( 10 ~; 11 |; 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 : 28 ( 28 !; 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(f13,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(f20,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(f25,plain,
! [X0] :
( v_sko__urX(v_evs_H) != v_sko__urX(v_evs_H)
| c_0 = X0 ),
inference(superposition,[],[f13,f20]) ).
fof(f27,plain,
! [X0,X1] :
( v_sko__urX(v_evs_H) != c_plus(X1,v_sko__urX(v_evs_H),tc_nat)
| X0 = X1 ),
inference(superposition,[],[f4,f20]) ).
fof(f29,plain,
! [X0] : c_0 = X0,
inference(trivial_inequality_removal,[],[f25]) ).
fof(f30,plain,
! [X0,X1] : X0 = X1,
inference(forward_subsumption_resolution,[],[f27,f20]) ).
fof(f47,plain,
c_List_Olist_ONil != c_0,
inference(superposition,[],[f2,f29]) ).
fof(f59,plain,
$false,
inference(forward_subsumption_resolution,[],[f47,f30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV281-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n017.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 10:19:51 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.47/1.25 % (3458236)Input is clausal, will run a generic CNF schedule.
% 3.47/1.25 % (3458243)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1550969676:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.47/1.25 % (3458246)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2640846771:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.47/1.25 % (3458244)lrs+10_1_sil=8000:sp=occurrence:random_seed=878165265:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.47/1.25 % (3458244)First to succeed.
% 3.47/1.25 % (3458246)Also succeeded, but the first one will report.
% 3.47/1.25 % (3458244)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3458236"
% 3.47/1.25 % (3458242)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3526510125:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.47/1.25 % (3458241)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1450028255:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.47/1.25 % (3458245)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1131942995:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.47/1.25 % (3458245)Refutation not found, incomplete strategy
% 3.47/1.25 % (3458245)------------------------------
% 3.47/1.25 % (3458245)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.25 % (3458245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.25 % (3458245)CaDiCaL version: 2.1.3
% 3.47/1.25 % (3458245)Termination reason: Refutation not found, incomplete strategy
% 3.47/1.25 % (3458245)Time elapsed: 0.001 s
% 3.47/1.25 % (3458245)Peak memory usage: 87 MB
% 3.47/1.25 % (3458247)dis-21_1_sil=8000:lcm=predicate:random_seed=229140430:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.47/1.25 % (3458247)Instruction limit reached!
% 3.47/1.25 % (3458247)------------------------------
% 3.47/1.25 % (3458247)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.25 % (3458247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.25 % (3458247)CaDiCaL version: 2.1.3
% 3.47/1.25 % (3458247)Termination reason: Instruction limit
% 3.47/1.25 % (3458247)Termination phase: Saturation
% 3.47/1.25 % (3458247)Time elapsed: 0.057 s
% 3.47/1.25 % (3458247)Peak memory usage: 88 MB
% 3.47/1.25 % (3458247)Instructions burned: 117 (million)
% 3.47/1.25 % (3458255)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=781630108:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.47/1.25 % (3458255)Also succeeded, but the first one will report.
% 3.47/1.25 % (3458245)------------------------------
% 3.47/1.25 % (3458245)------------------------------
% 3.47/1.25 % (3458244)Refutation found. Thanks to Tanya!
% 3.47/1.25 % SZS status Unsatisfiable for theBenchmark
% 3.47/1.25 % SZS output start Proof for theBenchmark
% See solution above
% 3.47/1.25 % (3458244)------------------------------
% 3.47/1.25 % (3458244)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.25 % (3458244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.25 % (3458244)CaDiCaL version: 2.1.3
% 3.47/1.25 % (3458244)Termination reason: Refutation
% 3.47/1.25 % (3458244)Time elapsed: 0.003 s
% 3.47/1.25 % (3458244)Peak memory usage: 88 MB
% 3.47/1.25 % (3458244)Instructions burned: 2 (million)
% 3.47/1.25 % (3458244)------------------------------
% 3.47/1.25 % (3458244)------------------------------
% 3.47/1.25 % (3458236)Success in time 0.396 s
% 3.47/1.25 % Vampire exiting
%------------------------------------------------------------------------------