%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWW186+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 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 01:39:35 PM UTC 2026
% Result : Theorem 3.64s 0.96s
% Output : Refutation 3.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 14
% Syntax : Number of formulae : 71 ( 16 unt; 4 def)
% Number of atoms : 153 ( 60 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 150 ( 68 ~; 64 |; 4 &)
% ( 6 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 5 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-3 aty)
% Number of variables : 47 ( 0 sgn 47 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1,X2,X3] :
( class_Rings_Ocomm__semiring__0(X3)
=> ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X3),c_Polynomial_Osmult(X3,X2,X1),c_Polynomial_OpCons(X3,X0,X1)) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3))
=> X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_offset__poly__eq__0__lemma) ).
fof(f12,axiom,
! [X0,X1,X2] :
( class_Groups_Ozero(X2)
=> ( c_Polynomial_OpCons(X2,X1,X0) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
<=> ( X1 = c_Groups_Ozero__class_Ozero(X2)
& X0 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_pCons__eq__0__iff) ).
fof(f14,axiom,
! [X0,X1] :
( class_Groups_Ocomm__monoid__add(X1)
=> c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__poly__code_I1_J) ).
fof(f16,axiom,
! [X0,X1] :
( class_Rings_Ocomm__semiring__0(X1)
=> c_Polynomial_Osmult(X1,X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_smult__0__right) ).
fof(f997,axiom,
! [X0] :
( class_Rings_Ocomm__semiring__0(X0)
=> class_Groups_Ocomm__monoid__add(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clrel_Rings_Ocomm__semiring__0__Groups_Ocomm__monoid__add) ).
fof(f1003,axiom,
! [X0] :
( class_Rings_Ocomm__semiring__0(X0)
=> class_Groups_Ozero(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clrel_Rings_Ocomm__semiring__0__Groups_Ozero) ).
fof(f1179,axiom,
( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
=> v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f1180,axiom,
c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),c_Polynomial_Osmult(t_a,v_h,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h)),c_Polynomial_OpCons(t_a,v_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
fof(f1181,conjecture,
( v_a = c_Groups_Ozero__class_Ozero(t_a)
& v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_2) ).
fof(f1182,negated_conjecture,
~ ( v_a = c_Groups_Ozero__class_Ozero(t_a)
& v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) ),
inference(negated_conjecture,[status(cth)],[f1181]) ).
fof(f1183,axiom,
class_Rings_Ocomm__semiring__0(t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_0) ).
fof(f1304,plain,
! [X0,X1,X2,X3] :
( X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3))
| c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X3),c_Polynomial_Osmult(X3,X2,X1),c_Polynomial_OpCons(X3,X0,X1)) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3))
| ~ class_Rings_Ocomm__semiring__0(X3) ),
inference(ennf_transformation,[],[f5]) ).
fof(f1305,plain,
! [X0,X1,X2,X3] :
( X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3))
| c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X3),c_Polynomial_Osmult(X3,X2,X1),c_Polynomial_OpCons(X3,X0,X1)) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3))
| ~ class_Rings_Ocomm__semiring__0(X3) ),
inference(flattening,[],[f1304]) ).
fof(f1313,plain,
! [X0,X1,X2] :
( ( c_Polynomial_OpCons(X2,X1,X0) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
<=> ( X1 = c_Groups_Ozero__class_Ozero(X2)
& X0 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) ) )
| ~ class_Groups_Ozero(X2) ),
inference(ennf_transformation,[],[f12]) ).
fof(f1315,plain,
! [X0,X1] :
( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X0) = X0
| ~ class_Groups_Ocomm__monoid__add(X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f1317,plain,
! [X0,X1] :
( c_Polynomial_Osmult(X1,X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
| ~ class_Rings_Ocomm__semiring__0(X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f2308,plain,
! [X0] :
( class_Groups_Ocomm__monoid__add(X0)
| ~ class_Rings_Ocomm__semiring__0(X0) ),
inference(ennf_transformation,[],[f997]) ).
fof(f2314,plain,
! [X0] :
( class_Groups_Ozero(X0)
| ~ class_Rings_Ocomm__semiring__0(X0) ),
inference(ennf_transformation,[],[f1003]) ).
fof(f2378,plain,
( v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) ),
inference(ennf_transformation,[],[f1179]) ).
fof(f2379,plain,
( v_a != c_Groups_Ozero__class_Ozero(t_a)
| v_p != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) ),
inference(ennf_transformation,[],[f1182]) ).
fof(f2384,plain,
! [X2,X3,X0,X1] :
( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X3),c_Polynomial_Osmult(X3,X2,X1),c_Polynomial_OpCons(X3,X0,X1)) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3))
| ~ class_Rings_Ocomm__semiring__0(X3)
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3)) = X1 ),
inference(cnf_transformation,[],[f1305]) ).
fof(f2394,plain,
! [X2,X0,X1] :
( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) != c_Polynomial_OpCons(X2,X1,X0)
| c_Groups_Ozero__class_Ozero(X2) = X1
| ~ class_Groups_Ozero(X2) ),
inference(cnf_transformation,[],[f1313]) ).
fof(f2397,plain,
! [X0,X1] :
( ~ class_Groups_Ocomm__monoid__add(X1)
| c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X0) = X0 ),
inference(cnf_transformation,[],[f1315]) ).
fof(f2399,plain,
! [X0,X1] :
( ~ class_Rings_Ocomm__semiring__0(X1)
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) = c_Polynomial_Osmult(X1,X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))) ),
inference(cnf_transformation,[],[f1317]) ).
fof(f3569,plain,
! [X0] :
( ~ class_Rings_Ocomm__semiring__0(X0)
| class_Groups_Ocomm__monoid__add(X0) ),
inference(cnf_transformation,[],[f2308]) ).
fof(f3575,plain,
! [X0] :
( class_Groups_Ozero(X0)
| ~ class_Rings_Ocomm__semiring__0(X0) ),
inference(cnf_transformation,[],[f2314]) ).
fof(f3745,plain,
( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) ),
inference(cnf_transformation,[],[f2378]) ).
fof(f3746,plain,
c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),c_Polynomial_Osmult(t_a,v_h,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h)),c_Polynomial_OpCons(t_a,v_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h))),
inference(cnf_transformation,[],[f1180]) ).
fof(f3747,plain,
( v_p != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| v_a != c_Groups_Ozero__class_Ozero(t_a) ),
inference(cnf_transformation,[],[f2379]) ).
fof(f3748,plain,
class_Rings_Ocomm__semiring__0(t_a),
inference(cnf_transformation,[],[f1183]) ).
fof(f4570,definition,
( spl16_1
<=> v_a = c_Groups_Ozero__class_Ozero(t_a) ),
introduced(definition,[new_symbols(definition,[spl16_1])],[avatar_definition]) ).
fof(f4572,plain,
( v_a != c_Groups_Ozero__class_Ozero(t_a)
| spl16_1 ),
inference(avatar_component_clause,[],[f4570]) ).
fof(f4574,definition,
( spl16_2
<=> v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) ),
introduced(definition,[new_symbols(definition,[spl16_2])],[avatar_definition]) ).
fof(f4575,plain,
( v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| ~ spl16_2 ),
inference(avatar_component_clause,[],[f4574]) ).
fof(f4577,plain,
( ~ spl16_1
| ~ spl16_2 ),
inference(avatar_split_clause,[],[f3747,f4574,f4570]) ).
fof(f4579,definition,
( spl16_3
<=> c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) ),
introduced(definition,[new_symbols(definition,[spl16_3])],[avatar_definition]) ).
fof(f4580,plain,
( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| ~ spl16_3 ),
inference(avatar_component_clause,[],[f4579]) ).
fof(f4582,plain,
( spl16_2
| ~ spl16_3 ),
inference(avatar_split_clause,[],[f3745,f4579,f4574]) ).
fof(f4598,plain,
class_Groups_Ocomm__monoid__add(t_a),
inference(resolution,[],[f3569,f3748]) ).
fof(f5050,plain,
! [X0] : c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),X0) = X0,
inference(resolution,[],[f2397,f4598]) ).
fof(f5575,plain,
! [X0] : c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) = c_Polynomial_Osmult(t_a,X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),
inference(resolution,[],[f2399,f3748]) ).
fof(f14813,plain,
( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| ~ class_Rings_Ocomm__semiring__0(t_a)
| c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) ),
inference(superposition,[],[f2384,f3746]) ).
fof(f14814,plain,
( ~ class_Rings_Ocomm__semiring__0(t_a)
| c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) ),
inference(trivial_inequality_removal,[],[f14813]) ).
fof(f14815,plain,
c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),
inference(forward_subsumption_resolution,[],[f14814,f3748]) ).
fof(f14823,plain,
spl16_3,
inference(avatar_split_clause,[],[f14815,f4579]) ).
fof(f14824,plain,
( ! [X0] : c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),v_p,X0) = X0
| ~ spl16_2 ),
inference(superposition,[],[f5050,f4575]) ).
fof(f14827,plain,
( ! [X0] : v_p = c_Polynomial_Osmult(t_a,X0,v_p)
| ~ spl16_2 ),
inference(superposition,[],[f5575,f4575]) ).
fof(f14965,plain,
( v_p = c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h)
| ~ spl16_2
| ~ spl16_3 ),
inference(forward_demodulation,[],[f4580,f4575]) ).
fof(f14966,plain,
( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),c_Polynomial_Osmult(t_a,v_h,v_p),c_Polynomial_OpCons(t_a,v_a,v_p))
| ~ spl16_2
| ~ spl16_3 ),
inference(superposition,[],[f3746,f14965]) ).
fof(f14967,plain,
( v_p = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),c_Polynomial_Osmult(t_a,v_h,v_p),c_Polynomial_OpCons(t_a,v_a,v_p))
| ~ spl16_2
| ~ spl16_3 ),
inference(forward_demodulation,[],[f14966,f4575]) ).
fof(f15134,plain,
( v_p = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),v_p,c_Polynomial_OpCons(t_a,v_a,v_p))
| ~ spl16_2
| ~ spl16_3 ),
inference(forward_demodulation,[],[f14967,f14827]) ).
fof(f15135,plain,
( v_p = c_Polynomial_OpCons(t_a,v_a,v_p)
| ~ spl16_2
| ~ spl16_3 ),
inference(superposition,[],[f15134,f14824]) ).
fof(f15140,plain,
( v_p != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| v_a = c_Groups_Ozero__class_Ozero(t_a)
| ~ class_Groups_Ozero(t_a)
| ~ spl16_2
| ~ spl16_3 ),
inference(superposition,[],[f2394,f15135]) ).
fof(f15149,definition,
( spl16_116
<=> class_Groups_Ozero(t_a) ),
introduced(definition,[new_symbols(definition,[spl16_116])],[avatar_definition]) ).
fof(f15151,plain,
( ~ class_Groups_Ozero(t_a)
| spl16_116 ),
inference(avatar_component_clause,[],[f15149]) ).
fof(f15162,plain,
( v_a = c_Groups_Ozero__class_Ozero(t_a)
| ~ class_Groups_Ozero(t_a)
| ~ spl16_2
| ~ spl16_3 ),
inference(forward_subsumption_resolution,[],[f15140,f4575]) ).
fof(f15163,plain,
( ~ class_Groups_Ozero(t_a)
| spl16_1
| ~ spl16_2
| ~ spl16_3 ),
inference(forward_subsumption_resolution,[],[f15162,f4572]) ).
fof(f15164,plain,
( ~ spl16_116
| spl16_1
| ~ spl16_2
| ~ spl16_3 ),
inference(avatar_split_clause,[],[f15163,f4579,f4574,f4570,f15149]) ).
fof(f15165,plain,
( ~ class_Rings_Ocomm__semiring__0(t_a)
| spl16_116 ),
inference(resolution,[],[f15151,f3575]) ).
fof(f15166,plain,
( $false
| spl16_116 ),
inference(forward_subsumption_resolution,[],[f15165,f3748]) ).
fof(f15167,plain,
spl16_116,
inference(avatar_contradiction_clause,[],[f15166]) ).
cnf(s1,plain,
( ~ spl16_1
| ~ spl16_2 ),
inference(sat_conversion,[],[f4577]) ).
cnf(s2,plain,
( spl16_2
| ~ spl16_3 ),
inference(sat_conversion,[],[f4582]) ).
cnf(s140,plain,
spl16_3,
inference(sat_conversion,[],[f14823]) ).
cnf(s171,plain,
( spl16_1
| ~ spl16_2
| ~ spl16_3
| ~ spl16_116 ),
inference(sat_conversion,[],[f15164]) ).
cnf(s172,plain,
spl16_116,
inference(sat_conversion,[],[f15167]) ).
cnf(s173,plain,
( spl16_1
| ~ spl16_2
| ~ spl16_3 ),
inference(rat,[],[s171,s172]) ).
cnf(s179,plain,
spl16_2,
inference(rat,[],[s2,s140]) ).
cnf(s180,plain,
spl16_1,
inference(rat,[],[s173,s140,s179]) ).
cnf(s183,plain,
$false,
inference(rat,[],[s1,s179,s180]) ).
fof(f15168,plain,
$false,
inference(avatar_sat_refutation,[],[s183]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW186+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.24 % Computer : n015.cluster.edu
% 0.12/0.24 % Model : x86_64 x86_64
% 0.12/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.24 % Memory : 8046.5625MB
% 0.12/0.24 % OS : Linux 6.8.0-71-generic
% 0.12/0.25 % CPULimit : 300
% 0.12/0.25 % WCLimit : 300
% 0.12/0.25 % DateTime : Mon Sep 28 13:16:17 UTC 2026
% 0.12/0.25 % CPUTime :
% 0.12/0.25 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.23/0.29 Running first-order model finding
% 0.23/0.29 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.64/0.96 % (2620251)Will run a generic schedule for satisfiability detection.
% 3.64/0.96 % (2620256)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2361162167_2999 on theBenchmark for (2999ds/0Mi)
% 3.64/0.96 % (2620257)% WARNING: option uhcvi not known.
% 3.64/0.96 % (2620257)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1439889679:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 3.64/0.96 % (2620258)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1960201347:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 3.64/0.96 % (2620259)dis+10_1_sil=32000:sp=arity:random_seed=3969170322:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 3.64/0.96 % (2620260)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3536219469:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 3.64/0.96 % (2620261)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2859751931:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 3.64/0.96 % (2620262)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1643349741:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 3.64/0.96 % (2620259)Instruction limit reached!
% 3.64/0.96 % (2620259)------------------------------
% 3.64/0.96 % (2620259)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.64/0.96 % (2620259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/0.96 % (2620259)CaDiCaL version: 2.1.3
% 3.64/0.96 % (2620259)Termination reason: Instruction limit
% 3.64/0.96 % (2620259)Termination phase: Saturation
% 3.64/0.96 % (2620259)Time elapsed: 0.098 s
% 3.64/0.96 % (2620259)Peak memory usage: 14 MB
% 3.64/0.96 % (2620259)Instructions burned: 103 (million)
% 3.64/0.96 % (2620260)Instruction limit reached!
% 3.64/0.96 % (2620260)------------------------------
% 3.64/0.96 % (2620260)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.64/0.96 % (2620260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/0.96 % (2620260)CaDiCaL version: 2.1.3
% 3.64/0.96 % (2620260)Termination reason: Instruction limit
% 3.64/0.96 % (2620260)Termination phase: Saturation
% 3.64/0.96 % (2620260)Time elapsed: 0.105 s
% 3.64/0.96 % (2620260)Peak memory usage: 14 MB
% 3.64/0.96 % (2620260)Instructions burned: 116 (million)
% 3.64/0.96 % (2620261)Instruction limit reached!
% 3.64/0.96 % (2620261)------------------------------
% 3.64/0.96 % (2620261)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.64/0.96 % (2620261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/0.96 % (2620261)CaDiCaL version: 2.1.3
% 3.64/0.96 % (2620261)Termination reason: Instruction limit
% 3.64/0.96 % (2620261)Termination phase: Saturation
% 3.64/0.96 % (2620261)Time elapsed: 0.118 s
% 3.64/0.96 % (2620261)Peak memory usage: 15 MB
% 3.64/0.96 % (2620261)Instructions burned: 131 (million)
% 3.64/0.96 % (2620270)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2086059634:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 3.64/0.96 % (2620271)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1342035908:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 3.64/0.96 % (2620272)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=757217695:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2997 on theBenchmark for (2997ds/684Mi)
% 3.64/0.96 % (2620262)Instruction limit reached!
% 3.64/0.96 % (2620262)------------------------------
% 3.64/0.96 % (2620262)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.64/0.96 % (2620262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/0.96 % (2620262)CaDiCaL version: 2.1.3
% 3.64/0.96 % (2620262)Termination reason: Instruction limit
% 3.64/0.96 % (2620262)Termination phase: Saturation
% 3.64/0.96 % (2620262)Time elapsed: 0.159 s
% 3.64/0.96 % (2620262)Peak memory usage: 15 MB
% 3.64/0.96 % (2620262)Instructions burned: 159 (million)
% 3.64/0.96 % (2620276)ott-21_1_sil=16000:fs=off:random_seed=3919168692:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 3.64/0.96 % TRYING [1]
% 3.64/0.96 % TRYING [2]
% 3.64/0.96 % (2620271)Instruction limit reached!
% 3.64/0.96 % (2620271)------------------------------
% 3.64/0.96 % (2620271)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.64/0.96 % (2620271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/0.96 % (2620271)CaDiCaL version: 2.1.3
% 3.64/0.96 % (2620271)Termination reason: Instruction limit
% 3.64/0.96 % (2620271)Termination phase: Saturation
% 3.64/0.96 % (2620271)Time elapsed: 0.119 s
% 3.64/0.96 % (2620271)Peak memory usage: 14 MB
% 3.64/0.96 % (2620271)Instructions burned: 132 (million)
% 3.64/0.96 % (2620278)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2636241537:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 3.64/0.96 % (2620276)Instruction limit reached!
% 3.64/0.96 % (2620276)------------------------------
% 3.64/0.96 % (2620276)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.64/0.96 % (2620276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/0.96 % (2620276)CaDiCaL version: 2.1.3
% 3.64/0.96 % (2620276)Termination reason: Instruction limit
% 3.64/0.96 % (2620276)Termination phase: Saturation
% 3.64/0.96 % (2620276)Time elapsed: 0.163 s
% 3.64/0.96 % (2620276)Peak memory usage: 15 MB
% 3.64/0.96 % (2620276)Instructions burned: 180 (million)
% 3.64/0.96 % (2620280)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1640618412:fmbsr=1.3:i=865:ins=25_2995 on theBenchmark for (2995ds/865Mi)
% 3.64/0.96 % TRYING [3]
% 3.64/0.96 % (2620257) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2620251-2620257"...
% 3.64/0.96 % (2620257)...printing done.
% 3.64/0.96 % (2620257)Refutation found. Thanks to Tanya!
% 3.64/0.96 % SZS status Theorem for theBenchmark
% 3.64/0.96 % SZS output start Proof for theBenchmark
% See solution above
% 3.64/0.96 % (2620257)------------------------------
% 3.64/0.96 % (2620257)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.64/0.96 % (2620257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/0.96 % (2620257)CaDiCaL version: 2.1.3
% 3.64/0.96 % (2620257)Termination reason: Refutation
% 3.64/0.96 % (2620257)Time elapsed: 0.553 s
% 3.64/0.96 % (2620257)Peak memory usage: 19 MB
% 3.64/0.96 % (2620257)Instructions burned: 548 (million)
% 3.64/0.96 % (2620251)Success in time 0.659 s
% 3.64/0.96 % Vampire exiting
%------------------------------------------------------------------------------