%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV106+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 01:08:09 PM UTC 2026
% Result : Theorem 2.68s 1.17s
% Output : Refutation 2.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 8 ( 4 unt; 0 def)
% Number of atoms : 108 ( 28 equ)
% Maximal formula atoms : 26 ( 13 avg)
% Number of connectives : 140 ( 40 ~; 36 |; 48 &)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 14 con; 0-3 aty)
% Number of variables : 36 ( 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f51,axiom,
true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ttrue) ).
fof(f53,conjecture,
( ( ! [X0] :
( ( leq(n0,X0)
& leq(X0,minus(m_measvars,n1)) )
=> a_select2(rho_defuse,X0) = use )
& ! [X1] :
( ( leq(n0,X1)
& leq(X1,minus(n_statevars,n1)) )
=> a_select2(sigma_defuse,X1) = use )
& ! [X2,X3] :
( ( leq(n0,X2)
& leq(n0,X3)
& leq(X2,n2)
& leq(X3,minus(n_steps,n1)) )
=> a_select3(u_defuse,X2,X3) = use )
& ! [X4] :
( ( leq(n0,X4)
& leq(X4,minus(n_statevars,n1)) )
=> a_select2(xinit_defuse,X4) = use )
& ! [X5] :
( ( leq(n0,X5)
& leq(X5,minus(n_statevars,n1)) )
=> a_select2(xinit_mean_defuse,X5) = use )
& ! [X6] :
( ( leq(n0,X6)
& leq(X6,minus(n_statevars,n1)) )
=> a_select2(xinit_noise_defuse,X6) = use )
& ! [X7,X8] :
( ( leq(n0,X7)
& leq(n0,X8)
& leq(X7,minus(m_measvars,n1))
& leq(X8,minus(n_steps,n1)) )
=> a_select3(z_defuse,X7,X8) = use ) )
=> true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_inuse_0018) ).
fof(f54,negated_conjecture,
~ ( ( ! [X0] :
( ( leq(n0,X0)
& leq(X0,minus(m_measvars,n1)) )
=> a_select2(rho_defuse,X0) = use )
& ! [X1] :
( ( leq(n0,X1)
& leq(X1,minus(n_statevars,n1)) )
=> a_select2(sigma_defuse,X1) = use )
& ! [X2,X3] :
( ( leq(n0,X2)
& leq(n0,X3)
& leq(X2,n2)
& leq(X3,minus(n_steps,n1)) )
=> a_select3(u_defuse,X2,X3) = use )
& ! [X4] :
( ( leq(n0,X4)
& leq(X4,minus(n_statevars,n1)) )
=> a_select2(xinit_defuse,X4) = use )
& ! [X5] :
( ( leq(n0,X5)
& leq(X5,minus(n_statevars,n1)) )
=> a_select2(xinit_mean_defuse,X5) = use )
& ! [X6] :
( ( leq(n0,X6)
& leq(X6,minus(n_statevars,n1)) )
=> a_select2(xinit_noise_defuse,X6) = use )
& ! [X7,X8] :
( ( leq(n0,X7)
& leq(n0,X8)
& leq(X7,minus(m_measvars,n1))
& leq(X8,minus(n_steps,n1)) )
=> a_select3(z_defuse,X7,X8) = use ) )
=> true ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f87,plain,
( ~ true
& ! [X0] :
( a_select2(rho_defuse,X0) = use
| ~ leq(n0,X0)
| ~ leq(X0,minus(m_measvars,n1)) )
& ! [X1] :
( a_select2(sigma_defuse,X1) = use
| ~ leq(n0,X1)
| ~ leq(X1,minus(n_statevars,n1)) )
& ! [X2,X3] :
( a_select3(u_defuse,X2,X3) = use
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X2,n2)
| ~ leq(X3,minus(n_steps,n1)) )
& ! [X4] :
( a_select2(xinit_defuse,X4) = use
| ~ leq(n0,X4)
| ~ leq(X4,minus(n_statevars,n1)) )
& ! [X5] :
( a_select2(xinit_mean_defuse,X5) = use
| ~ leq(n0,X5)
| ~ leq(X5,minus(n_statevars,n1)) )
& ! [X6] :
( a_select2(xinit_noise_defuse,X6) = use
| ~ leq(n0,X6)
| ~ leq(X6,minus(n_statevars,n1)) )
& ! [X7,X8] :
( a_select3(z_defuse,X7,X8) = use
| ~ leq(n0,X7)
| ~ leq(n0,X8)
| ~ leq(X7,minus(m_measvars,n1))
| ~ leq(X8,minus(n_steps,n1)) ) ),
inference(ennf_transformation,[],[f54]) ).
fof(f88,plain,
( ~ true
& ! [X0] :
( a_select2(rho_defuse,X0) = use
| ~ leq(n0,X0)
| ~ leq(X0,minus(m_measvars,n1)) )
& ! [X1] :
( a_select2(sigma_defuse,X1) = use
| ~ leq(n0,X1)
| ~ leq(X1,minus(n_statevars,n1)) )
& ! [X2,X3] :
( a_select3(u_defuse,X2,X3) = use
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X2,n2)
| ~ leq(X3,minus(n_steps,n1)) )
& ! [X4] :
( a_select2(xinit_defuse,X4) = use
| ~ leq(n0,X4)
| ~ leq(X4,minus(n_statevars,n1)) )
& ! [X5] :
( a_select2(xinit_mean_defuse,X5) = use
| ~ leq(n0,X5)
| ~ leq(X5,minus(n_statevars,n1)) )
& ! [X6] :
( a_select2(xinit_noise_defuse,X6) = use
| ~ leq(n0,X6)
| ~ leq(X6,minus(n_statevars,n1)) )
& ! [X7,X8] :
( a_select3(z_defuse,X7,X8) = use
| ~ leq(n0,X7)
| ~ leq(n0,X8)
| ~ leq(X7,minus(m_measvars,n1))
| ~ leq(X8,minus(n_steps,n1)) ) ),
inference(flattening,[],[f87]) ).
fof(f115,plain,
~ true,
inference(cnf_transformation,[],[f88]) ).
fof(f119,plain,
true,
inference(cnf_transformation,[],[f51]) ).
fof(f149,plain,
$false,
inference(forward_subsumption_resolution,[],[f119,f115]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV106+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n009.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 09:55:30 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.68/1.17 % (2929677)Detected formulas, will run a generic FOF schedule.
% 2.68/1.17 % (2929686)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2107392805:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.68/1.17 % (2929686)First to succeed.
% 2.68/1.17 % (2929686)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2929677"
% 2.68/1.17 % (2929683)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=3001863842:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.68/1.17 % (2929684)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=1351872062:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.68/1.17 % (2929685)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3995135531:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.68/1.17 % (2929682)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=2884282195:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.68/1.17 % (2929685)Also succeeded, but the first one will report.
% 2.68/1.17 % (2929688)dis-21_1_sil=8000:lcm=predicate:random_seed=4108795738: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)
% 2.68/1.17 % (2929687)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3112321458:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.68/1.17 % (2929688)Also succeeded, but the first one will report.
% 2.68/1.17 % (2929687)Also succeeded, but the first one will report.
% 2.68/1.17 % (2929686)Refutation found. Thanks to Tanya!
% 2.68/1.17 % SZS status Theorem for theBenchmark
% 2.68/1.17 % SZS output start Proof for theBenchmark
% See solution above
% 2.68/1.17 % (2929686)------------------------------
% 2.68/1.17 % (2929686)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.68/1.17 % (2929686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/1.17 % (2929686)CaDiCaL version: 2.1.3
% 2.68/1.17 % (2929686)Termination reason: Refutation
% 2.68/1.17 % (2929686)Time elapsed: 0.001 s
% 2.68/1.17 % (2929686)Peak memory usage: 88 MB
% 2.68/1.17 % (2929686)Instructions burned: 2 (million)
% 2.68/1.17 % (2929686)------------------------------
% 2.68/1.17 % (2929686)------------------------------
% 2.68/1.17 % (2929677)Success in time 0.29 s
% 2.68/1.17 % Vampire exiting
%------------------------------------------------------------------------------