%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV190+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 01:08:20 PM UTC 2026
% Result : Theorem 0.85s 0.97s
% Output : Refutation 2.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 12
% Syntax : Number of formulae : 58 ( 28 unt; 2 def)
% Number of atoms : 246 ( 157 equ)
% Maximal formula atoms : 32 ( 4 avg)
% Number of connectives : 221 ( 33 ~; 24 |; 154 &)
% ( 4 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 35 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 16 con; 0-3 aty)
% Number of variables : 35 ( 0 sgn 31 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] : ~ gt(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',irreflexivity_gt) ).
fof(f10,axiom,
! [X0,X1] :
( leq(X0,pred(X1))
<=> gt(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',leq_gt_pred) ).
fof(f12,axiom,
! [X0,X1] :
( leq(X0,X1)
=> leq(X0,succ(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',leq_succ) ).
fof(f28,axiom,
succ(tptp_minus_1) = n0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',succ_tptp_minus_1) ).
fof(f40,axiom,
! [X0] : pred(succ(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pred_succ) ).
fof(f42,axiom,
! [X0,X1] :
( leq(succ(X0),succ(X1))
<=> leq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',leq_succ_succ) ).
fof(f53,conjecture,
( ( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use )
=> ! [X0,X1] :
( ( leq(n0,X0)
& leq(n0,X1)
& leq(X0,n2)
& leq(X1,tptp_minus_1) )
=> a_select3(u_defuse,X0,X1) = use ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_inuse_0001) ).
fof(f54,negated_conjecture,
~ ( ( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use )
=> ! [X0,X1] :
( ( leq(n0,X0)
& leq(n0,X1)
& leq(X0,n2)
& leq(X1,tptp_minus_1) )
=> a_select3(u_defuse,X0,X1) = use ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f78,axiom,
! [X0] :
( ( leq(n0,X0)
& leq(X0,n0) )
=> X0 = n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',finite_domain_0) ).
fof(f84,axiom,
succ(n0) = n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_1) ).
fof(f85,axiom,
succ(succ(n0)) = n2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_2) ).
fof(f103,plain,
! [X0,X1] :
( leq(X0,succ(X1))
| ~ leq(X0,X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f136,plain,
( ? [X0,X1] :
( use != a_select3(u_defuse,X0,X1)
& leq(n0,X0)
& leq(n0,X1)
& leq(X0,n2)
& leq(X1,tptp_minus_1) )
& a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use ),
inference(ennf_transformation,[],[f54]) ).
fof(f137,plain,
( ? [X0,X1] :
( use != a_select3(u_defuse,X0,X1)
& leq(n0,X0)
& leq(n0,X1)
& leq(X0,n2)
& leq(X1,tptp_minus_1) )
& a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use ),
inference(flattening,[],[f136]) ).
fof(f142,plain,
! [X0] :
( X0 = n0
| ~ leq(n0,X0)
| ~ leq(X0,n0) ),
inference(ennf_transformation,[],[f78]) ).
fof(f143,plain,
! [X0] :
( X0 = n0
| ~ leq(n0,X0)
| ~ leq(X0,n0) ),
inference(flattening,[],[f142]) ).
fof(f157,plain,
! [X0,X1] :
( ( leq(X0,pred(X1))
| ~ gt(X1,X0) )
& ( gt(X1,X0)
| ~ leq(X0,pred(X1)) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f187,plain,
! [X0,X1] :
( ( leq(succ(X0),succ(X1))
| ~ leq(X0,X1) )
& ( leq(X0,X1)
| ~ leq(succ(X0),succ(X1)) ) ),
inference(nnf_transformation,[],[f42]) ).
fof(f190,plain,
( use != a_select3(u_defuse,sK31,sK32)
& leq(n0,sK31)
& leq(n0,sK32)
& leq(sK31,n2)
& leq(sK32,tptp_minus_1)
& a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK31,sK32]),skolemize(X0,sK31),skolemize(X1,sK32)],[f137]) ).
fof(f193,plain,
! [X0] : ~ gt(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f198,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(X0,pred(X1)) ),
inference(cnf_transformation,[],[f157]) ).
fof(f201,plain,
! [X0,X1] :
( leq(X0,succ(X1))
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f270,plain,
n0 = succ(tptp_minus_1),
inference(cnf_transformation,[],[f28]) ).
fof(f282,plain,
! [X0] : pred(succ(X0)) = X0,
inference(cnf_transformation,[],[f40]) ).
fof(f285,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| leq(succ(X0),succ(X1)) ),
inference(cnf_transformation,[],[f187]) ).
fof(f328,plain,
leq(sK32,tptp_minus_1),
inference(cnf_transformation,[],[f190]) ).
fof(f330,plain,
leq(n0,sK32),
inference(cnf_transformation,[],[f190]) ).
fof(f356,plain,
! [X0] :
( ~ leq(X0,n0)
| ~ leq(n0,X0)
| n0 = X0 ),
inference(cnf_transformation,[],[f143]) ).
fof(f362,plain,
n1 = succ(n0),
inference(cnf_transformation,[],[f84]) ).
fof(f363,plain,
n2 = succ(succ(n0)),
inference(cnf_transformation,[],[f85]) ).
fof(f375,plain,
n2 = succ(n1),
inference(forward_demodulation,[],[f363,f362]) ).
fof(f376,plain,
n1 = pred(n2),
inference(superposition,[],[f282,f375]) ).
fof(f390,plain,
! [X0] : ~ leq(X0,pred(X0)),
inference(resolution,[],[f198,f193]) ).
fof(f395,plain,
~ leq(n2,n1),
inference(superposition,[],[f390,f376]) ).
fof(f549,plain,
leq(succ(n0),succ(sK32)),
inference(resolution,[],[f285,f330]) ).
fof(f554,plain,
leq(succ(sK32),succ(tptp_minus_1)),
inference(resolution,[],[f285,f328]) ).
fof(f555,plain,
leq(succ(sK32),n0),
inference(forward_demodulation,[],[f554,f270]) ).
fof(f559,plain,
leq(n1,succ(sK32)),
inference(forward_demodulation,[],[f549,f362]) ).
fof(f577,plain,
leq(succ(n1),succ(succ(sK32))),
inference(resolution,[],[f559,f285]) ).
fof(f578,plain,
leq(n2,succ(succ(sK32))),
inference(forward_demodulation,[],[f577,f375]) ).
fof(f666,plain,
( ~ leq(n0,succ(sK32))
| n0 = succ(sK32) ),
inference(resolution,[],[f356,f555]) ).
fof(f672,definition,
( spl33_1
<=> n0 = succ(sK32) ),
introduced(definition,[new_symbols(definition,[spl33_1])],[avatar_definition]) ).
fof(f674,plain,
( n0 = succ(sK32)
| ~ spl33_1 ),
inference(avatar_component_clause,[],[f672]) ).
fof(f676,definition,
( spl33_2
<=> leq(n0,succ(sK32)) ),
introduced(definition,[new_symbols(definition,[spl33_2])],[avatar_definition]) ).
fof(f678,plain,
( ~ leq(n0,succ(sK32))
| spl33_2 ),
inference(avatar_component_clause,[],[f676]) ).
fof(f679,plain,
( spl33_1
| ~ spl33_2 ),
inference(avatar_split_clause,[],[f666,f676,f672]) ).
fof(f684,plain,
( ~ leq(n0,sK32)
| spl33_2 ),
inference(resolution,[],[f678,f201]) ).
fof(f690,plain,
( $false
| spl33_2 ),
inference(forward_subsumption_resolution,[],[f684,f330]) ).
fof(f691,plain,
spl33_2,
inference(avatar_contradiction_clause,[],[f690]) ).
fof(f694,plain,
( leq(n2,succ(n0))
| ~ spl33_1 ),
inference(superposition,[],[f578,f674]) ).
fof(f712,plain,
( leq(n2,n1)
| ~ spl33_1 ),
inference(forward_demodulation,[],[f694,f362]) ).
fof(f715,plain,
( $false
| ~ spl33_1 ),
inference(forward_subsumption_resolution,[],[f712,f395]) ).
fof(f716,plain,
~ spl33_1,
inference(avatar_contradiction_clause,[],[f715]) ).
cnf(s1,plain,
( spl33_1
| ~ spl33_2 ),
inference(sat_conversion,[],[f679]) ).
cnf(s2,plain,
spl33_2,
inference(sat_conversion,[],[f691]) ).
cnf(s4,plain,
~ spl33_1,
inference(sat_conversion,[],[f716]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s2,s4]) ).
fof(f717,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV190+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n007.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 10:06:25 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 0.85/0.97 % (2298284)Detected formulas, will run a generic FOF schedule.
% 0.85/0.97 % (2298294)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=569622582:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.85/0.97 % (2298294)First to succeed.
% 0.85/0.97 % (2298294)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2298284"
% 0.85/0.97 % (2298292)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1743395458:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.85/0.97 % (2298289)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=2761219638:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.85/0.97 % (2298291)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=3618838132:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.85/0.97 % (2298290)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=2025120365:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.85/0.97 % (2298295)dis-21_1_sil=8000:lcm=predicate:random_seed=3381575347: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)
% 0.85/0.97 % (2298293)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3922492569:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.85/0.97 % (2298293)Also succeeded, but the first one will report.
% 0.85/0.97 % (2298292)Instruction limit reached!
% 0.85/0.97 % (2298292)------------------------------
% 0.85/0.97 % (2298292)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.85/0.97 % (2298292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.85/0.97 % (2298292)CaDiCaL version: 2.1.3
% 0.85/0.97 % (2298292)Termination reason: Instruction limit
% 0.85/0.97 % (2298292)Termination phase: Saturation
% 0.85/0.97 % (2298292)Time elapsed: 0.049 s
% 0.85/0.97 % (2298292)Peak memory usage: 88 MB
% 0.85/0.97 % (2298292)Instructions burned: 111 (million)
% 0.85/0.97 % (2298295)Instruction limit reached!
% 0.85/0.97 % (2298295)------------------------------
% 0.85/0.97 % (2298295)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.85/0.97 % (2298295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.85/0.97 % (2298295)CaDiCaL version: 2.1.3
% 0.85/0.97 % (2298295)Termination reason: Instruction limit
% 0.85/0.97 % (2298295)Termination phase: Saturation
% 0.85/0.97 % (2298295)Time elapsed: 0.078 s
% 0.85/0.97 % (2298295)Peak memory usage: 89 MB
% 0.85/0.97 % (2298295)Instructions burned: 130 (million)
% 0.85/0.97 % (2298294)Refutation found. Thanks to Tanya!
% 0.85/0.97 % SZS status Theorem for theBenchmark
% 0.85/0.97 % SZS output start Proof for theBenchmark
% See solution above
% 2.72/1.17 % (2298294)------------------------------
% 2.72/1.17 % (2298294)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.72/1.17 % (2298294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/1.17 % (2298294)CaDiCaL version: 2.1.3
% 2.72/1.17 % (2298294)Termination reason: Refutation
% 2.72/1.17 % (2298294)Time elapsed: 0.009 s
% 2.72/1.17 % (2298294)Peak memory usage: 90 MB
% 2.72/1.17 % (2298294)Instructions burned: 24 (million)
% 2.72/1.17 % (2298294)------------------------------
% 2.72/1.17 % (2298294)------------------------------
% 2.72/1.17 % (2298284)Success in time 0.291 s
% 2.72/1.17 % Vampire exiting
%------------------------------------------------------------------------------