%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV283-1 : 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 : n013.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 01:08:40 PM UTC 2026
% Result : Unsatisfiable 3.96s 1.36s
% Output : Refutation 3.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 27 ( 5 unt; 2 def)
% Number of atoms : 57 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 55 ( 25 ~; 28 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-3 aty)
% Number of variables : 24 ( 0 sgn 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1523,axiom,
! [X0,X1] :
( ~ c_in(c_Message_Omsg_ONonce(X0),c_Message_Oparts(c_insert(X1,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_lessequals(v_sko__upX(X1),X0,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Omsg__Nonce__supply_0) ).
fof(f1524,axiom,
! [X2,X0,X1] :
( ~ c_lessequals(c_plus(X0,X1,tc_nat),X2,tc_nat)
| c_lessequals(X1,X2,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oadd__leE_0) ).
fof(f1525,axiom,
! [X2,X0,X1] :
( ~ c_lessequals(c_plus(X0,X1,tc_nat),X2,tc_nat)
| c_lessequals(X0,X2,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oadd__leE_1) ).
fof(f1555,negated_conjecture,
! [X0] :
( ~ c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_list),tc_Message_Omsg)
| ~ c_lessequals(v_x,X0,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1559,negated_conjecture,
! [X0,X1] :
( c_lessequals(X0,v_xd(X0),tc_nat)
| c_lessequals(X1,v_xd(X1),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f1564,negated_conjecture,
! [X0,X1] :
( c_in(c_Message_Omsg_ONonce(v_xd(X0)),c_Event_Oused(v_list),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_xd(X0)),c_Message_Oparts(c_insert(v_xc,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_xd(X1)),c_Event_Oused(v_list),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_xd(X1)),c_Message_Oparts(c_insert(v_xc,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_9) ).
fof(f1566,definition,
( spl0_1
<=> ! [X1] :
( c_in(c_Message_Omsg_ONonce(v_xd(X1)),c_Event_Oused(v_list),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_xd(X1)),c_Message_Oparts(c_insert(v_xc,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f1567,plain,
( ! [X1] :
( c_in(c_Message_Omsg_ONonce(v_xd(X1)),c_Message_Oparts(c_insert(v_xc,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_xd(X1)),c_Event_Oused(v_list),tc_Message_Omsg) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f1566]) ).
fof(f1568,plain,
( spl0_1
| spl0_1 ),
inference(avatar_split_clause,[],[f1564,f1566,f1566]) ).
fof(f1570,definition,
( spl0_2
<=> ! [X0] : c_lessequals(X0,v_xd(X0),tc_nat) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f1571,plain,
( ! [X0] : c_lessequals(X0,v_xd(X0),tc_nat)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f1570]) ).
fof(f1584,plain,
( spl0_2
| spl0_2 ),
inference(avatar_split_clause,[],[f1559,f1570,f1570]) ).
fof(f1607,plain,
( ! [X0,X1] : c_lessequals(X0,v_xd(c_plus(X1,X0,tc_nat)),tc_nat)
| ~ spl0_2 ),
inference(resolution,[],[f1524,f1571]) ).
fof(f1611,plain,
( ! [X0,X1] : c_lessequals(X0,v_xd(c_plus(X0,X1,tc_nat)),tc_nat)
| ~ spl0_2 ),
inference(resolution,[],[f1525,f1571]) ).
fof(f1704,plain,
( ! [X0] :
( c_in(c_Message_Omsg_ONonce(v_xd(X0)),c_Event_Oused(v_list),tc_Message_Omsg)
| ~ c_lessequals(v_sko__upX(v_xc),v_xd(X0),tc_nat) )
| ~ spl0_1 ),
inference(resolution,[],[f1523,f1567]) ).
fof(f1706,plain,
( ! [X0] :
( ~ c_lessequals(v_x,v_xd(X0),tc_nat)
| ~ c_lessequals(v_sko__upX(v_xc),v_xd(X0),tc_nat) )
| ~ spl0_1 ),
inference(resolution,[],[f1704,f1555]) ).
fof(f1708,plain,
( ! [X0] : ~ c_lessequals(v_sko__upX(v_xc),v_xd(c_plus(X0,v_x,tc_nat)),tc_nat)
| ~ spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f1706,f1607]) ).
fof(f1737,plain,
( $false
| ~ spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f1708,f1611]) ).
fof(f1754,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_contradiction_clause,[],[f1737]) ).
cnf(s1,plain,
( spl0_1
| spl0_1 ),
inference(sat_conversion,[],[f1568]) ).
cnf(s2,plain,
spl0_1,
inference(rat,[],[s1]) ).
cnf(s7,plain,
( spl0_2
| spl0_2 ),
inference(sat_conversion,[],[f1584]) ).
cnf(s8,plain,
spl0_2,
inference(rat,[],[s7]) ).
cnf(s20,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f1754]) ).
cnf(s21,plain,
~ spl0_1,
inference(rat,[],[s20,s8]) ).
cnf(s24,plain,
$false,
inference(rat,[],[s2,s21]) ).
fof(f1755,plain,
$false,
inference(avatar_sat_refutation,[],[s24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV283-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n013.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 10:24:51 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running first-order theorem proving
% 0.07/0.22 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
% 3.96/1.36 % (1079623)Input is clausal, will run a generic CNF schedule.
% 3.96/1.36 % (1079630)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=9311360:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.96/1.36 % (1079629)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2343686173:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.96/1.36 % (1079628)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=1770850805:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.96/1.36 % (1079631)lrs+10_1_sil=8000:sp=occurrence:random_seed=2018927664:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.96/1.36 % (1079632)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=339367514:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.96/1.36 % (1079634)dis-21_1_sil=8000:lcm=predicate:random_seed=1809587414: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)
% 3.96/1.36 % (1079633)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1423036863:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.96/1.36 % (1079633)First to succeed.
% 3.96/1.36 % (1079633)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1079623"
% 3.96/1.36 % (1079631)Instruction limit reached!
% 3.96/1.36 % (1079631)------------------------------
% 3.96/1.36 % (1079631)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.96/1.36 % (1079631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.96/1.36 % (1079631)CaDiCaL version: 2.1.3
% 3.96/1.36 % (1079631)Termination reason: Instruction limit
% 3.96/1.36 % (1079631)Termination phase: Saturation
% 3.96/1.36 % (1079631)Time elapsed: 0.061 s
% 3.96/1.36 % (1079631)Peak memory usage: 90 MB
% 3.96/1.36 % (1079631)Instructions burned: 108 (million)
% 3.96/1.36 % (1079634)Instruction limit reached!
% 3.96/1.36 % (1079634)------------------------------
% 3.96/1.36 % (1079634)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.96/1.36 % (1079634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.96/1.36 % (1079634)CaDiCaL version: 2.1.3
% 3.96/1.36 % (1079634)Termination reason: Instruction limit
% 3.96/1.36 % (1079634)Termination phase: Saturation
% 3.96/1.36 % (1079634)Time elapsed: 0.071 s
% 3.96/1.36 % (1079634)Peak memory usage: 90 MB
% 3.96/1.36 % (1079634)Instructions burned: 118 (million)
% 3.96/1.36 % (1079632)Instruction limit reached!
% 3.96/1.36 % (1079632)------------------------------
% 3.96/1.36 % (1079632)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.96/1.36 % (1079632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.96/1.36 % (1079632)CaDiCaL version: 2.1.3
% 3.96/1.36 % (1079632)Termination reason: Instruction limit
% 3.96/1.36 % (1079632)Termination phase: Saturation
% 3.96/1.36 % (1079632)Time elapsed: 0.072 s
% 3.96/1.36 % (1079632)Peak memory usage: 89 MB
% 3.96/1.36 % (1079632)Instructions burned: 114 (million)
% 3.96/1.36 % (1079642)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=1462055382:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.96/1.36 % (1079642)Refutation not found, incomplete strategy
% 3.96/1.36 % (1079642)------------------------------
% 3.96/1.36 % (1079642)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.96/1.36 % (1079642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.96/1.36 % (1079642)CaDiCaL version: 2.1.3
% 3.96/1.36 % (1079642)Termination reason: Refutation not found, incomplete strategy
% 3.96/1.36 % (1079642)Time elapsed: 0.007 s
% 3.96/1.36 % (1079642)Peak memory usage: 89 MB
% 3.96/1.36 % (1079642)Instructions burned: 9 (million)
% 3.96/1.36 % (1079643)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2721272130:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 3.96/1.36 % (1079644)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1130233158:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.96/1.36 % (1079633)Refutation found. Thanks to Tanya!
% 3.96/1.36 % SZS status Unsatisfiable for theBenchmark
% 3.96/1.36 % SZS output start Proof for theBenchmark
% See solution above
% 3.96/1.36 % (1079633)------------------------------
% 3.96/1.36 % (1079633)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.96/1.36 % (1079633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.96/1.36 % (1079633)CaDiCaL version: 2.1.3
% 3.96/1.36 % (1079633)Termination reason: Refutation
% 3.96/1.36 % (1079633)Time elapsed: 0.025 s
% 3.96/1.36 % (1079633)Peak memory usage: 90 MB
% 3.96/1.36 % (1079633)Instructions burned: 37 (million)
% 3.96/1.36 % (1079633)------------------------------
% 3.96/1.36 % (1079633)------------------------------
% 3.96/1.36 % (1079623)Success in time 0.501 s
% 3.96/1.36 % Vampire exiting
%------------------------------------------------------------------------------