%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWX233_1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 01:46:15 PM UTC 2026
% Result : Theorem 3.94s 1.35s
% Output : Refutation 3.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 7 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 9 ( 0 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 2 ( 2 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 11 ( 10 usr; 2 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 4 ( 2 !; 2 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
cons: ( $o * $i ) > $i ).
tff(func_def_6,type,
bG0: $o > $o ).
tff(func_def_7,type,
bG1: $o > $o ).
tff(func_def_8,type,
bG2: $o > $o ).
tff(func_def_9,type,
bG3: $o > $o ).
tff(func_def_10,type,
bG4: $o > $o ).
tff(func_def_11,type,
bG5: $o > $o ).
tff(pred_def_1,type,
g: $o > $o ).
tff(pred_def_4,type,
sQ6_eqProxy: ( $o * $o ) > $o ).
tff(f7,axiom,
f(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_009) ).
tff(f9,conjecture,
? [X0: $i] : f(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal_011) ).
tff(f10,negated_conjecture,
~ ? [X0: $i] : f(X0),
inference(negated_conjecture,[status(cth)],[f9]) ).
tff(f30,plain,
! [X0: $i] : ~ f(X0),
inference(ennf_transformation,[],[f10]) ).
tff(f60,plain,
f(nil),
inference(cnf_transformation,[],[f7]) ).
tff(f63,plain,
! [X0: $i] : ~ f(X0),
inference(cnf_transformation,[],[f30]) ).
tff(f100,plain,
$false,
inference(resolution,[],[f60,f63]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWX233_1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 % Computer : n015.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Mon Sep 28 15:20:47 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.24 Running first-order theorem proving
% 0.10/0.24 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
% 3.94/1.35 % (2710265)Detected formulas, will run a generic FOF schedule.
% 3.94/1.35 % (2710321)dis-21_1_sil=8000:lcm=predicate:random_seed=2731615538:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.94/1.35 % (2710321)First to succeed.
% 3.94/1.35 % (2710321)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2710265"
% 3.94/1.35 % (2710319)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1948504513:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.94/1.35 % (2710319)Also succeeded, but the first one will report.
% 3.94/1.35 % (2710315)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=4206820392:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.94/1.35 % (2710318)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1126623714:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.94/1.35 % (2710317)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=4135911244:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.94/1.35 % (2710316)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3418953077:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.94/1.35 % (2710318)Also succeeded, but the first one will report.
% 3.94/1.35 % (2710320)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2506645736:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.94/1.35 % (2710320)Also succeeded, but the first one will report.
% 3.94/1.35 % (2710321)Refutation found. Thanks to Tanya!
% 3.94/1.35 % SZS status Theorem for theBenchmark
% 3.94/1.35 % SZS output start Proof for theBenchmark
% See solution above
% 3.94/1.35 % (2710321)------------------------------
% 3.94/1.35 % (2710321)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.94/1.35 % (2710321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/1.35 % (2710321)CaDiCaL version: 2.1.3
% 3.94/1.35 % (2710321)Termination reason: Refutation
% 3.94/1.35 % (2710321)Time elapsed: 0.002 s
% 3.94/1.35 % (2710321)Peak memory usage: 88 MB
% 3.94/1.35 % (2710321)Instructions burned: 1 (million)
% 3.94/1.35 % (2710321)------------------------------
% 3.94/1.35 % (2710321)------------------------------
% 3.94/1.35 % (2710265)Success in time 0.461 s
% 3.94/1.35 % Vampire exiting
%------------------------------------------------------------------------------