%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV170+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 : n004.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 01:20:23 PM UTC 2026
% Result : Theorem 0.18s 0.26s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 5
% Syntax : Number of formulae : 40 ( 16 unt; 4 def)
% Number of atoms : 297 ( 63 equ)
% Maximal formula atoms : 39 ( 7 avg)
% Number of connectives : 371 ( 114 ~; 109 |; 116 &)
% ( 4 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 18 con; 0-3 aty)
% Number of variables : 63 ( 0 sgn 60 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f53,conjecture,
( ( leq(n0,pv10)
& leq(n0,pv52)
& leq(n0,pv54)
& leq(pv10,n135299)
& leq(pv52,n4)
& leq(pv54,n4)
& gt(loopcounter,n1)
& ! [X0] :
( ( leq(n0,X0)
& leq(X0,n135299) )
=> ! [X1] :
( ( leq(n0,X1)
& leq(X1,n4) )
=> a_select3(q_init,X0,X1) = init ) )
& ! [X2] :
( ( leq(n0,X2)
& leq(X2,n4) )
=> a_select2(rho_init,X2) = init )
& ! [X3] :
( ( leq(n0,X3)
& leq(X3,n4) )
=> a_select2(mu_init,X3) = init )
& ! [X4] :
( ( leq(n0,X4)
& leq(X4,n4) )
=> a_select2(sigma_init,X4) = init )
& ! [X5] :
( ( leq(n0,X5)
& leq(X5,n4) )
=> a_select3(center_init,X5,n0) = init )
& ( gt(loopcounter,n1)
=> ! [X6] :
( ( leq(n0,X6)
& leq(X6,n4) )
=> a_select2(muold_init,X6) = init ) )
& ( gt(loopcounter,n1)
=> ! [X7] :
( ( leq(n0,X7)
& leq(X7,n4) )
=> a_select2(rhoold_init,X7) = init ) )
& ( gt(loopcounter,n1)
=> ! [X8] :
( ( leq(n0,X8)
& leq(X8,n4) )
=> a_select2(sigmaold_init,X8) = init ) ) )
=> ! [X9] :
( ( leq(n0,X9)
& leq(X9,n4) )
=> a_select2(muold_init,X9) = init ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_init_0026) ).
fof(f54,negated_conjecture,
~ ( ( leq(n0,pv10)
& leq(n0,pv52)
& leq(n0,pv54)
& leq(pv10,n135299)
& leq(pv52,n4)
& leq(pv54,n4)
& gt(loopcounter,n1)
& ! [X0] :
( ( leq(n0,X0)
& leq(X0,n135299) )
=> ! [X1] :
( ( leq(n0,X1)
& leq(X1,n4) )
=> a_select3(q_init,X0,X1) = init ) )
& ! [X2] :
( ( leq(n0,X2)
& leq(X2,n4) )
=> a_select2(rho_init,X2) = init )
& ! [X3] :
( ( leq(n0,X3)
& leq(X3,n4) )
=> a_select2(mu_init,X3) = init )
& ! [X4] :
( ( leq(n0,X4)
& leq(X4,n4) )
=> a_select2(sigma_init,X4) = init )
& ! [X5] :
( ( leq(n0,X5)
& leq(X5,n4) )
=> a_select3(center_init,X5,n0) = init )
& ( gt(loopcounter,n1)
=> ! [X6] :
( ( leq(n0,X6)
& leq(X6,n4) )
=> a_select2(muold_init,X6) = init ) )
& ( gt(loopcounter,n1)
=> ! [X7] :
( ( leq(n0,X7)
& leq(X7,n4) )
=> a_select2(rhoold_init,X7) = init ) )
& ( gt(loopcounter,n1)
=> ! [X8] :
( ( leq(n0,X8)
& leq(X8,n4) )
=> a_select2(sigmaold_init,X8) = init ) ) )
=> ! [X9] :
( ( leq(n0,X9)
& leq(X9,n4) )
=> a_select2(muold_init,X9) = init ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f143,plain,
( ? [X9] :
( init != a_select2(muold_init,X9)
& leq(n0,X9)
& leq(X9,n4) )
& leq(n0,pv10)
& leq(n0,pv52)
& leq(n0,pv54)
& leq(pv10,n135299)
& leq(pv52,n4)
& leq(pv54,n4)
& gt(loopcounter,n1)
& ! [X0] :
( ! [X1] :
( a_select3(q_init,X0,X1) = init
| ~ leq(n0,X1)
| ~ leq(X1,n4) )
| ~ leq(n0,X0)
| ~ leq(X0,n135299) )
& ! [X2] :
( a_select2(rho_init,X2) = init
| ~ leq(n0,X2)
| ~ leq(X2,n4) )
& ! [X3] :
( a_select2(mu_init,X3) = init
| ~ leq(n0,X3)
| ~ leq(X3,n4) )
& ! [X4] :
( a_select2(sigma_init,X4) = init
| ~ leq(n0,X4)
| ~ leq(X4,n4) )
& ! [X5] :
( a_select3(center_init,X5,n0) = init
| ~ leq(n0,X5)
| ~ leq(X5,n4) )
& ( ! [X6] :
( a_select2(muold_init,X6) = init
| ~ leq(n0,X6)
| ~ leq(X6,n4) )
| ~ gt(loopcounter,n1) )
& ( ! [X7] :
( a_select2(rhoold_init,X7) = init
| ~ leq(n0,X7)
| ~ leq(X7,n4) )
| ~ gt(loopcounter,n1) )
& ( ! [X8] :
( a_select2(sigmaold_init,X8) = init
| ~ leq(n0,X8)
| ~ leq(X8,n4) )
| ~ gt(loopcounter,n1) ) ),
inference(ennf_transformation,[],[f54]) ).
fof(f144,plain,
( ? [X9] :
( init != a_select2(muold_init,X9)
& leq(n0,X9)
& leq(X9,n4) )
& leq(n0,pv10)
& leq(n0,pv52)
& leq(n0,pv54)
& leq(pv10,n135299)
& leq(pv52,n4)
& leq(pv54,n4)
& gt(loopcounter,n1)
& ! [X0] :
( ! [X1] :
( a_select3(q_init,X0,X1) = init
| ~ leq(n0,X1)
| ~ leq(X1,n4) )
| ~ leq(n0,X0)
| ~ leq(X0,n135299) )
& ! [X2] :
( a_select2(rho_init,X2) = init
| ~ leq(n0,X2)
| ~ leq(X2,n4) )
& ! [X3] :
( a_select2(mu_init,X3) = init
| ~ leq(n0,X3)
| ~ leq(X3,n4) )
& ! [X4] :
( a_select2(sigma_init,X4) = init
| ~ leq(n0,X4)
| ~ leq(X4,n4) )
& ! [X5] :
( a_select3(center_init,X5,n0) = init
| ~ leq(n0,X5)
| ~ leq(X5,n4) )
& ( ! [X6] :
( a_select2(muold_init,X6) = init
| ~ leq(n0,X6)
| ~ leq(X6,n4) )
| ~ gt(loopcounter,n1) )
& ( ! [X7] :
( a_select2(rhoold_init,X7) = init
| ~ leq(n0,X7)
| ~ leq(X7,n4) )
| ~ gt(loopcounter,n1) )
& ( ! [X8] :
( a_select2(sigmaold_init,X8) = init
| ~ leq(n0,X8)
| ~ leq(X8,n4) )
| ~ gt(loopcounter,n1) ) ),
inference(flattening,[],[f143]) ).
fof(f197,plain,
( ? [X0] :
( init != a_select2(muold_init,X0)
& leq(n0,X0)
& leq(X0,n4) )
& leq(n0,pv10)
& leq(n0,pv52)
& leq(n0,pv54)
& leq(pv10,n135299)
& leq(pv52,n4)
& leq(pv54,n4)
& gt(loopcounter,n1)
& ! [X1] :
( ! [X2] :
( init = a_select3(q_init,X1,X2)
| ~ leq(n0,X2)
| ~ leq(X2,n4) )
| ~ leq(n0,X1)
| ~ leq(X1,n135299) )
& ! [X3] :
( init = a_select2(rho_init,X3)
| ~ leq(n0,X3)
| ~ leq(X3,n4) )
& ! [X4] :
( init = a_select2(mu_init,X4)
| ~ leq(n0,X4)
| ~ leq(X4,n4) )
& ! [X5] :
( init = a_select2(sigma_init,X5)
| ~ leq(n0,X5)
| ~ leq(X5,n4) )
& ! [X6] :
( init = a_select3(center_init,X6,n0)
| ~ leq(n0,X6)
| ~ leq(X6,n4) )
& ( ! [X7] :
( init = a_select2(muold_init,X7)
| ~ leq(n0,X7)
| ~ leq(X7,n4) )
| ~ gt(loopcounter,n1) )
& ( ! [X8] :
( init = a_select2(rhoold_init,X8)
| ~ leq(n0,X8)
| ~ leq(X8,n4) )
| ~ gt(loopcounter,n1) )
& ( ! [X9] :
( init = a_select2(sigmaold_init,X9)
| ~ leq(n0,X9)
| ~ leq(X9,n4) )
| ~ gt(loopcounter,n1) ) ),
inference(rectify,[],[f144]) ).
fof(f198,plain,
( init != a_select2(muold_init,sK31)
& leq(n0,sK31)
& leq(sK31,n4)
& leq(n0,pv10)
& leq(n0,pv52)
& leq(n0,pv54)
& leq(pv10,n135299)
& leq(pv52,n4)
& leq(pv54,n4)
& gt(loopcounter,n1)
& ! [X1] :
( ! [X2] :
( init = a_select3(q_init,X1,X2)
| ~ leq(n0,X2)
| ~ leq(X2,n4) )
| ~ leq(n0,X1)
| ~ leq(X1,n135299) )
& ! [X3] :
( init = a_select2(rho_init,X3)
| ~ leq(n0,X3)
| ~ leq(X3,n4) )
& ! [X4] :
( init = a_select2(mu_init,X4)
| ~ leq(n0,X4)
| ~ leq(X4,n4) )
& ! [X5] :
( init = a_select2(sigma_init,X5)
| ~ leq(n0,X5)
| ~ leq(X5,n4) )
& ! [X6] :
( init = a_select3(center_init,X6,n0)
| ~ leq(n0,X6)
| ~ leq(X6,n4) )
& ( ! [X7] :
( init = a_select2(muold_init,X7)
| ~ leq(n0,X7)
| ~ leq(X7,n4) )
| ~ gt(loopcounter,n1) )
& ( ! [X8] :
( init = a_select2(rhoold_init,X8)
| ~ leq(n0,X8)
| ~ leq(X8,n4) )
| ~ gt(loopcounter,n1) )
& ( ! [X9] :
( init = a_select2(sigmaold_init,X9)
| ~ leq(n0,X9)
| ~ leq(X9,n4) )
| ~ gt(loopcounter,n1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK31]),skolemize(X0,sK31)],[f197]) ).
fof(f311,plain,
! [X7] :
( init = a_select2(muold_init,X7)
| ~ leq(n0,X7)
| ~ leq(X7,n4)
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f198]) ).
fof(f317,plain,
gt(loopcounter,n1),
inference(cnf_transformation,[],[f198]) ).
fof(f324,plain,
leq(sK31,n4),
inference(cnf_transformation,[],[f198]) ).
fof(f325,plain,
leq(n0,sK31),
inference(cnf_transformation,[],[f198]) ).
fof(f326,plain,
init != a_select2(muold_init,sK31),
inference(cnf_transformation,[],[f198]) ).
fof(f480,plain,
~ leq(n0,sK31),
inference(consistent_polarity_flipping,[],[f325]) ).
fof(f481,plain,
~ leq(sK31,n4),
inference(consistent_polarity_flipping,[],[f324]) ).
fof(f488,plain,
~ gt(loopcounter,n1),
inference(consistent_polarity_flipping,[],[f317]) ).
fof(f494,plain,
! [X7] :
( init = a_select2(muold_init,X7)
| leq(n0,X7)
| leq(X7,n4)
| gt(loopcounter,n1) ),
inference(consistent_polarity_flipping,[],[f311]) ).
fof(f532,definition,
( spl32_1
<=> gt(loopcounter,n1) ),
introduced(definition,[new_symbols(definition,[spl32_1])],[avatar_definition]) ).
fof(f544,definition,
( spl32_4
<=> ! [X7] :
( init = a_select2(muold_init,X7)
| leq(X7,n4)
| leq(n0,X7) ) ),
introduced(definition,[new_symbols(definition,[spl32_4])],[avatar_definition]) ).
fof(f545,plain,
( ! [X7] :
( leq(n0,X7)
| leq(X7,n4)
| init = a_select2(muold_init,X7) )
| ~ spl32_4 ),
inference(avatar_component_clause,[],[f544]) ).
fof(f546,plain,
( spl32_1
| spl32_4 ),
inference(avatar_split_clause,[],[f494,f544,f532]) ).
fof(f547,plain,
~ spl32_1,
inference(avatar_split_clause,[],[f488,f532]) ).
fof(f553,definition,
( spl32_5
<=> leq(sK31,n4) ),
introduced(definition,[new_symbols(definition,[spl32_5])],[avatar_definition]) ).
fof(f555,plain,
( leq(sK31,n4)
| ~ spl32_5 ),
inference(avatar_component_clause,[],[f553]) ).
fof(f668,plain,
( $false
| ~ spl32_5 ),
inference(resolution,[],[f555,f481]) ).
fof(f669,plain,
~ spl32_5,
inference(avatar_contradiction_clause,[],[f668]) ).
fof(f692,plain,
( leq(sK31,n4)
| init = a_select2(muold_init,sK31)
| ~ spl32_4 ),
inference(resolution,[],[f545,f480]) ).
fof(f694,definition,
( spl32_28
<=> init = a_select2(muold_init,sK31) ),
introduced(definition,[new_symbols(definition,[spl32_28])],[avatar_definition]) ).
fof(f696,plain,
( init = a_select2(muold_init,sK31)
| ~ spl32_28 ),
inference(avatar_component_clause,[],[f694]) ).
fof(f697,plain,
( spl32_28
| spl32_5
| ~ spl32_4 ),
inference(avatar_split_clause,[],[f692,f544,f553,f694]) ).
fof(f708,plain,
( init != init
| ~ spl32_28 ),
inference(superposition,[],[f326,f696]) ).
fof(f709,plain,
( $false
| ~ spl32_28 ),
inference(trivial_inequality_removal,[],[f708]) ).
fof(f710,plain,
~ spl32_28,
inference(avatar_contradiction_clause,[],[f709]) ).
cnf(s3,plain,
( spl32_1
| spl32_4 ),
inference(sat_conversion,[],[f546]) ).
cnf(s4,plain,
~ spl32_1,
inference(sat_conversion,[],[f547]) ).
cnf(s23,plain,
~ spl32_5,
inference(sat_conversion,[],[f669]) ).
cnf(s27,plain,
( ~ spl32_4
| spl32_5
| spl32_28 ),
inference(sat_conversion,[],[f697]) ).
cnf(s30,plain,
~ spl32_28,
inference(sat_conversion,[],[f710]) ).
cnf(s31,plain,
( ~ spl32_4
| spl32_5 ),
inference(rat,[],[s27,s30]) ).
cnf(s32,plain,
~ spl32_4,
inference(rat,[],[s31,s23]) ).
cnf(s46,plain,
$false,
inference(rat,[],[s3,s32,s4]) ).
fof(f711,plain,
$false,
inference(avatar_sat_refutation,[],[s46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV170+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n004.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 10:04:22 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 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
% 0.18/0.26 % (255900)Will run a generic schedule for satisfiability detection.
% 0.18/0.26 % (255911)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3895387356:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.26 % (255906)% WARNING: option uhcvi not known.
% 0.18/0.26 % (255911) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-255900-255911"...
% 0.18/0.26 % (255905)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1177841613_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.26 % (255908)dis+10_1_sil=32000:sp=arity:random_seed=626429751:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.26 % (255907)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=853083445:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.26 % (255906)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2505007255:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.26 % (255910)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=944300628:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.26 % (255909)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1104438171:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.26 % (255911)...printing done.
% 0.18/0.26 % (255911)Refutation found. Thanks to Tanya!
% 0.18/0.26 % SZS status Theorem for theBenchmark
% 0.18/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.26 % (255911)------------------------------
% 0.18/0.26 % (255911)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.26 % (255911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.26 % (255911)CaDiCaL version: 2.1.3
% 0.18/0.26 % (255911)Termination reason: Refutation
% 0.18/0.26 % (255911)Time elapsed: 0.006 s
% 0.18/0.26 % (255911)Peak memory usage: 13 MB
% 0.18/0.26 % (255911)Instructions burned: 19 (million)
% 0.18/0.26 % (255900)Success in time 0.039 s
% 0.18/0.26 % Vampire exiting
%------------------------------------------------------------------------------