%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV193+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n026.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 01:20:26 PM UTC 2026
% Result : Theorem 0.25s 0.34s
% Output : Refutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 2
% Syntax : Number of formulae : 21 ( 10 unt; 0 def)
% Number of atoms : 341 ( 225 equ)
% Maximal formula atoms : 52 ( 16 avg)
% Number of connectives : 402 ( 82 ~; 58 |; 252 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 45 ( 14 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 18 con; 0-3 aty)
% Number of variables : 42 ( 36 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f39,axiom,
! [X0] : minus(X0,n1) = pred(X0),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',pred_minus_1) ).
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
& leq(n0,pv5)
& leq(pv5,n0)
& leq(pv5,n998)
& gt(pv5,n0)
& ! [X0,X1] :
( ( leq(n0,X0)
& leq(n0,X1)
& leq(X0,n2)
& leq(X1,pred(pv5)) )
=> a_select3(u_defuse,X0,X1) = use )
& ! [X2,X3] :
( ( leq(n0,X2)
& leq(n0,X3)
& leq(X2,n2)
& leq(X3,pred(pv5)) )
=> a_select3(z_defuse,X2,X3) = use ) )
=> ! [X4,X5] :
( ( leq(n0,X4)
& leq(n0,X5)
& leq(X4,n2)
& leq(X5,pred(pv5)) )
=> ( ( ~ ( n0 = X4
& pv5 = X5 )
& ~ ( n1 = X4
& pv5 = X5 )
& ~ ( n2 = X4
& pv5 = X5 ) )
=> a_select3(z_defuse,X4,X5) = use ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_inuse_0004) ).
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
& leq(n0,pv5)
& leq(pv5,n0)
& leq(pv5,n998)
& gt(pv5,n0)
& ! [X0,X1] :
( ( leq(n0,X0)
& leq(n0,X1)
& leq(X0,n2)
& leq(X1,pred(pv5)) )
=> a_select3(u_defuse,X0,X1) = use )
& ! [X2,X3] :
( ( leq(n0,X2)
& leq(n0,X3)
& leq(X2,n2)
& leq(X3,pred(pv5)) )
=> a_select3(z_defuse,X2,X3) = use ) )
=> ! [X4,X5] :
( ( leq(n0,X4)
& leq(n0,X5)
& leq(X4,n2)
& leq(X5,pred(pv5)) )
=> ( ( ~ ( n0 = X4
& pv5 = X5 )
& ~ ( n1 = X4
& pv5 = X5 )
& ~ ( n2 = X4
& pv5 = X5 ) )
=> a_select3(z_defuse,X4,X5) = use ) ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f143,plain,
( ? [X4,X5] :
( use != a_select3(z_defuse,X4,X5)
& ( n0 != X4
| pv5 != X5 )
& ( n1 != X4
| pv5 != X5 )
& ( n2 != X4
| pv5 != X5 )
& leq(n0,X4)
& leq(n0,X5)
& leq(X4,n2)
& leq(X5,pred(pv5)) )
& 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
& leq(n0,pv5)
& leq(pv5,n0)
& leq(pv5,n998)
& gt(pv5,n0)
& ! [X0,X1] :
( a_select3(u_defuse,X0,X1) = use
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,n2)
| ~ leq(X1,pred(pv5)) )
& ! [X2,X3] :
( a_select3(z_defuse,X2,X3) = use
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X2,n2)
| ~ leq(X3,pred(pv5)) ) ),
inference(ennf_transformation,[],[f54]) ).
fof(f144,plain,
( ? [X4,X5] :
( use != a_select3(z_defuse,X4,X5)
& ( n0 != X4
| pv5 != X5 )
& ( n1 != X4
| pv5 != X5 )
& ( n2 != X4
| pv5 != X5 )
& leq(n0,X4)
& leq(n0,X5)
& leq(X4,n2)
& leq(X5,pred(pv5)) )
& 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
& leq(n0,pv5)
& leq(pv5,n0)
& leq(pv5,n998)
& gt(pv5,n0)
& ! [X0,X1] :
( a_select3(u_defuse,X0,X1) = use
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,n2)
| ~ leq(X1,pred(pv5)) )
& ! [X2,X3] :
( a_select3(z_defuse,X2,X3) = use
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X2,n2)
| ~ leq(X3,pred(pv5)) ) ),
inference(flattening,[],[f143]) ).
fof(f197,plain,
( ? [X0,X1] :
( use != a_select3(z_defuse,X0,X1)
& ( n0 != X0
| pv5 != X1 )
& ( n1 != X0
| pv5 != X1 )
& ( n2 != X0
| pv5 != X1 )
& leq(n0,X0)
& leq(n0,X1)
& leq(X0,n2)
& leq(X1,pred(pv5)) )
& 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
& leq(n0,pv5)
& leq(pv5,n0)
& leq(pv5,n998)
& gt(pv5,n0)
& ! [X2,X3] :
( use = a_select3(u_defuse,X2,X3)
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X2,n2)
| ~ leq(X3,pred(pv5)) )
& ! [X4,X5] :
( use = a_select3(z_defuse,X4,X5)
| ~ leq(n0,X4)
| ~ leq(n0,X5)
| ~ leq(X4,n2)
| ~ leq(X5,pred(pv5)) ) ),
inference(rectify,[],[f144]) ).
fof(f198,plain,
( use != a_select3(z_defuse,sK31,sK32)
& ( n0 != sK31
| pv5 != sK32 )
& ( n1 != sK31
| pv5 != sK32 )
& ( n2 != sK31
| pv5 != sK32 )
& leq(n0,sK31)
& leq(n0,sK32)
& leq(sK31,n2)
& leq(sK32,pred(pv5))
& 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
& leq(n0,pv5)
& leq(pv5,n0)
& leq(pv5,n998)
& gt(pv5,n0)
& ! [X2,X3] :
( use = a_select3(u_defuse,X2,X3)
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X2,n2)
| ~ leq(X3,pred(pv5)) )
& ! [X4,X5] :
( use = a_select3(z_defuse,X4,X5)
| ~ leq(n0,X4)
| ~ leq(n0,X5)
| ~ leq(X4,n2)
| ~ leq(X5,pred(pv5)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK31,sK32]),skolemize(X0,sK31),skolemize(X1,sK32)],[f197]) ).
fof(f289,plain,
! [X0] : minus(X0,n1) = pred(X0),
inference(cnf_transformation,[],[f39]) ).
fof(f309,plain,
! [X4,X5] :
( use = a_select3(z_defuse,X4,X5)
| ~ leq(n0,X4)
| ~ leq(n0,X5)
| ~ leq(X4,n2)
| ~ leq(X5,pred(pv5)) ),
inference(cnf_transformation,[],[f198]) ).
fof(f342,plain,
leq(sK32,pred(pv5)),
inference(cnf_transformation,[],[f198]) ).
fof(f343,plain,
leq(sK31,n2),
inference(cnf_transformation,[],[f198]) ).
fof(f344,plain,
leq(n0,sK32),
inference(cnf_transformation,[],[f198]) ).
fof(f345,plain,
leq(n0,sK31),
inference(cnf_transformation,[],[f198]) ).
fof(f349,plain,
use != a_select3(z_defuse,sK31,sK32),
inference(cnf_transformation,[],[f198]) ).
fof(f410,plain,
leq(sK32,minus(pv5,n1)),
inference(definition_unfolding,[],[f342,f289]) ).
fof(f412,plain,
! [X4,X5] :
( ~ leq(X5,minus(pv5,n1))
| ~ leq(n0,X4)
| ~ leq(n0,X5)
| ~ leq(X4,n2)
| use = a_select3(z_defuse,X4,X5) ),
inference(definition_unfolding,[],[f309,f289]) ).
fof(f497,plain,
! [X0] :
( ~ leq(n0,X0)
| ~ leq(n0,sK32)
| ~ leq(X0,n2)
| use = a_select3(z_defuse,X0,sK32) ),
inference(resolution,[],[f412,f410]) ).
fof(f498,plain,
! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n2)
| use = a_select3(z_defuse,X0,sK32) ),
inference(forward_subsumption_resolution,[],[f497,f344]) ).
fof(f511,plain,
( ~ leq(sK31,n2)
| use = a_select3(z_defuse,sK31,sK32) ),
inference(resolution,[],[f498,f345]) ).
fof(f512,plain,
use = a_select3(z_defuse,sK31,sK32),
inference(forward_subsumption_resolution,[],[f511,f343]) ).
fof(f513,plain,
$false,
inference(forward_subsumption_resolution,[],[f512,f349]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV193+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.25 % Computer : n026.cluster.edu
% 0.11/0.25 % Model : x86_64 x86_64
% 0.11/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.25 % Memory : 8046.5625MB
% 0.11/0.25 % OS : Linux 6.8.0-71-generic
% 0.11/0.25 % CPULimit : 300
% 0.11/0.25 % WCLimit : 300
% 0.11/0.25 % DateTime : Mon Sep 28 10:11:27 UTC 2026
% 0.11/0.26 % CPUTime :
% 0.11/0.26 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.25/0.31 Running first-order model finding
% 0.25/0.31 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.25/0.34 % (3747501)Will run a generic schedule for satisfiability detection.
% 0.25/0.34 % (3747508)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=40916513:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.25/0.34 % (3747507)% WARNING: option uhcvi not known.
% 0.25/0.34 % (3747508) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3747501-3747508"...
% 0.25/0.34 % (3747508)...printing done.
% 0.25/0.34 % (3747507)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2463964099:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.25/0.34 % (3747509)dis+10_1_sil=32000:sp=arity:random_seed=335642779:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.25/0.34 % (3747510)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=742127007:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.25/0.34 % (3747511)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=38822023:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.25/0.34 % (3747512)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4211784493:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.25/0.34 % (3747508)Refutation found. Thanks to Tanya!
% 0.25/0.34 % SZS status Theorem for theBenchmark
% 0.25/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.25/0.34 % (3747508)------------------------------
% 0.25/0.34 % (3747508)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.34 % (3747508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.34 % (3747508)CaDiCaL version: 2.1.3
% 0.25/0.34 % (3747508)Termination reason: Refutation
% 0.25/0.34 % (3747508)Time elapsed: 0.006 s
% 0.25/0.34 % (3747508)Peak memory usage: 12 MB
% 0.25/0.34 % (3747508)Instructions burned: 18 (million)
% 0.25/0.34 % (3747501)Success in time 0.026 s
% 0.25/0.34 % Vampire exiting
%------------------------------------------------------------------------------