%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW185+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 01:29:47 PM UTC 2026
% Result : Theorem 8.93s 2.06s
% Output : Refutation 9.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 44 ( 15 unt; 2 def)
% Number of atoms : 79 ( 38 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 69 ( 34 ~; 28 |; 0 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-3 aty)
% Number of variables : 37 ( 0 sgn 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1,X2] :
( class_Rings_Ocomm__semiring__0(X2)
=> c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X2,c_Polynomial_OpCons(X2,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))),X0) = c_Polynomial_OpCons(X2,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_offset__poly__single) ).
fof(f75,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(f80,axiom,
! [X0,X1,X2,X3] :
( class_Rings_Ocomm__semiring__0(X3)
=> c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X3,c_Polynomial_OpCons(X3,X2,X1),X0) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X3),c_Polynomial_Osmult(X3,X0,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X3,X1,X0)),c_Polynomial_OpCons(X3,X2,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X3,X1,X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_offset__poly__pCons) ).
fof(f1180,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(f1181,axiom,
c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,c_Polynomial_OpCons(t_a,v_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(f1182,conjecture,
c_Polynomial_OpCons(t_a,v_a,v_p) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_2) ).
fof(f1183,negated_conjecture,
c_Polynomial_OpCons(t_a,v_a,v_p) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),
inference(negated_conjecture,[status(cth)],[f1182]) ).
fof(f1184,axiom,
class_Rings_Ocomm__semiring__0(t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_0) ).
fof(f1185,plain,
c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) != c_Polynomial_OpCons(t_a,v_a,v_p),
inference(flattening,[],[f1183]) ).
fof(f1258,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,[],[f1180]) ).
fof(f1317,plain,
! [X0,X1,X2,X3] :
( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X3,c_Polynomial_OpCons(X3,X2,X1),X0) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X3),c_Polynomial_Osmult(X3,X0,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X3,X1,X0)),c_Polynomial_OpCons(X3,X2,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X3,X1,X0)))
| ~ class_Rings_Ocomm__semiring__0(X3) ),
inference(ennf_transformation,[],[f80]) ).
fof(f1319,plain,
! [X0,X1,X2] :
( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X2,c_Polynomial_OpCons(X2,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))),X0) = c_Polynomial_OpCons(X2,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)))
| ~ class_Rings_Ocomm__semiring__0(X2) ),
inference(ennf_transformation,[],[f3]) ).
fof(f1337,plain,
! [X0,X1,X2,X3] :
( X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3))
| 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))
| ~ class_Rings_Ocomm__semiring__0(X3) ),
inference(ennf_transformation,[],[f75]) ).
fof(f1338,plain,
! [X0,X1,X2,X3] :
( X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3))
| 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))
| ~ class_Rings_Ocomm__semiring__0(X3) ),
inference(flattening,[],[f1337]) ).
fof(f1909,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(cnf_transformation,[],[f1258]) ).
fof(f1910,plain,
c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) = c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,c_Polynomial_OpCons(t_a,v_a,v_p),v_h),
inference(cnf_transformation,[],[f1181]) ).
fof(f1911,plain,
c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) != c_Polynomial_OpCons(t_a,v_a,v_p),
inference(cnf_transformation,[],[f1185]) ).
fof(f1912,plain,
class_Rings_Ocomm__semiring__0(t_a),
inference(cnf_transformation,[],[f1184]) ).
fof(f2049,plain,
! [X2,X3,X0,X1] :
( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X3,c_Polynomial_OpCons(X3,X2,X1),X0) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X3),c_Polynomial_Osmult(X3,X0,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X3,X1,X0)),c_Polynomial_OpCons(X3,X2,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X3,X1,X0)))
| ~ class_Rings_Ocomm__semiring__0(X3) ),
inference(cnf_transformation,[],[f1317]) ).
fof(f2051,plain,
! [X2,X0,X1] :
( c_Polynomial_OpCons(X2,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))) = c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X2,c_Polynomial_OpCons(X2,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))),X0)
| ~ class_Rings_Ocomm__semiring__0(X2) ),
inference(cnf_transformation,[],[f1319]) ).
fof(f2071,plain,
! [X2,X3,X0,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)) = X1
| ~ class_Rings_Ocomm__semiring__0(X3) ),
inference(cnf_transformation,[],[f1338]) ).
fof(f2890,definition,
( spl24_1
<=> 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,[spl24_1])],[avatar_definition]) ).
fof(f2892,plain,
( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| spl24_1 ),
inference(avatar_component_clause,[],[f2890]) ).
fof(f2894,definition,
( spl24_2
<=> v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) ),
introduced(definition,[new_symbols(definition,[spl24_2])],[avatar_definition]) ).
fof(f2896,plain,
( v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| ~ spl24_2 ),
inference(avatar_component_clause,[],[f2894]) ).
fof(f2897,plain,
( ~ spl24_1
| spl24_2 ),
inference(avatar_split_clause,[],[f1909,f2894,f2890]) ).
fof(f2899,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)))
| ~ class_Rings_Ocomm__semiring__0(t_a) ),
inference(superposition,[],[f2049,f1910]) ).
fof(f2902,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(forward_subsumption_resolution,[],[f2899,f1912]) ).
fof(f2984,plain,
( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) != 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))
| ~ class_Rings_Ocomm__semiring__0(t_a) ),
inference(superposition,[],[f2071,f2902]) ).
fof(f3009,plain,
( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| ~ class_Rings_Ocomm__semiring__0(t_a) ),
inference(trivial_inequality_removal,[],[f2984]) ).
fof(f3074,plain,
( ~ class_Rings_Ocomm__semiring__0(t_a)
| spl24_1 ),
inference(forward_subsumption_resolution,[],[f3009,f2892]) ).
fof(f3075,plain,
( $false
| spl24_1 ),
inference(forward_subsumption_resolution,[],[f3074,f1912]) ).
fof(f3076,plain,
spl24_1,
inference(avatar_contradiction_clause,[],[f3075]) ).
fof(f3080,plain,
( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) = c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,c_Polynomial_OpCons(t_a,v_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),v_h)
| ~ spl24_2 ),
inference(superposition,[],[f1910,f2896]) ).
fof(f3081,plain,
( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) != c_Polynomial_OpCons(t_a,v_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))
| ~ spl24_2 ),
inference(superposition,[],[f1911,f2896]) ).
fof(f3126,plain,
( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) = c_Polynomial_OpCons(t_a,v_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))
| ~ class_Rings_Ocomm__semiring__0(t_a)
| ~ spl24_2 ),
inference(superposition,[],[f3080,f2051]) ).
fof(f3132,plain,
( ~ class_Rings_Ocomm__semiring__0(t_a)
| ~ spl24_2 ),
inference(forward_subsumption_resolution,[],[f3126,f3081]) ).
fof(f3135,plain,
( $false
| ~ spl24_2 ),
inference(forward_subsumption_resolution,[],[f3132,f1912]) ).
fof(f3136,plain,
~ spl24_2,
inference(avatar_contradiction_clause,[],[f3135]) ).
cnf(s1,plain,
( ~ spl24_1
| spl24_2 ),
inference(sat_conversion,[],[f2897]) ).
cnf(s27,plain,
spl24_1,
inference(sat_conversion,[],[f3076]) ).
cnf(s32,plain,
~ spl24_2,
inference(sat_conversion,[],[f3136]) ).
cnf(s34,plain,
$false,
inference(rat,[],[s1,s32,s27]) ).
fof(f3137,plain,
$false,
inference(avatar_sat_refutation,[],[s34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWW185+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.25 % Computer : n016.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
% 0.11/0.26 % CPULimit : 300
% 0.11/0.26 % WCLimit : 300
% 0.11/0.26 % DateTime : Mon Sep 28 13:17:48 UTC 2026
% 0.11/0.26 % CPUTime :
% 0.11/0.26 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.32 Running first-order theorem proving
% 0.24/0.32 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
% 8.93/2.06 % (3615725)Detected formulas, will run a generic FOF schedule.
% 8.93/2.06 % (3615734)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=610600921:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 8.93/2.06 % (3615736)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=1151353393:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 8.93/2.06 % (3615737)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=24914172:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 8.93/2.06 % (3615738)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3324216872:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 8.93/2.06 % (3615740)dis-21_1_sil=8000:lcm=predicate:random_seed=1848131976: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)
% 8.93/2.06 % (3615735)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=3601082263:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 8.93/2.06 % (3615739)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1837325235:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 8.93/2.06 % (3615737)Instruction limit reached!
% 8.93/2.06 % (3615737)------------------------------
% 8.93/2.06 % (3615737)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.93/2.06 % (3615737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.93/2.06 % (3615737)CaDiCaL version: 2.1.3
% 8.93/2.06 % (3615737)Termination reason: Instruction limit
% 8.93/2.06 % (3615737)Termination phase: Saturation
% 8.93/2.06 % (3615737)Time elapsed: 0.080 s
% 8.93/2.06 % (3615737)Peak memory usage: 92 MB
% 8.93/2.06 % (3615737)Instructions burned: 109 (million)
% 8.93/2.06 % (3615738)Instruction limit reached!
% 8.93/2.06 % (3615738)------------------------------
% 8.93/2.06 % (3615738)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.93/2.06 % (3615738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.93/2.06 % (3615738)CaDiCaL version: 2.1.3
% 8.93/2.06 % (3615738)Termination reason: Instruction limit
% 8.93/2.06 % (3615738)Termination phase: Saturation
% 8.93/2.06 % (3615738)Time elapsed: 0.118 s
% 8.93/2.06 % (3615738)Peak memory usage: 90 MB
% 8.93/2.06 % (3615738)Instructions burned: 120 (million)
% 8.93/2.06 % (3615740)Instruction limit reached!
% 8.93/2.06 % (3615740)------------------------------
% 8.93/2.06 % (3615740)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.93/2.06 % (3615740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.93/2.06 % (3615740)CaDiCaL version: 2.1.3
% 8.93/2.06 % (3615740)Termination reason: Instruction limit
% 8.93/2.06 % (3615740)Termination phase: Saturation
% 8.93/2.06 % (3615740)Time elapsed: 0.124 s
% 8.93/2.06 % (3615740)Peak memory usage: 91 MB
% 8.93/2.06 % (3615740)Instructions burned: 130 (million)
% 8.93/2.06 % (3615739)Instruction limit reached!
% 8.93/2.06 % (3615739)------------------------------
% 8.93/2.06 % (3615739)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.93/2.06 % (3615739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.93/2.06 % (3615739)CaDiCaL version: 2.1.3
% 8.93/2.06 % (3615739)Termination reason: Instruction limit
% 8.93/2.06 % (3615739)Termination phase: Saturation
% 8.93/2.06 % (3615739)Time elapsed: 0.135 s
% 8.93/2.06 % (3615739)Peak memory usage: 91 MB
% 8.93/2.06 % (3615739)Instructions burned: 139 (million)
% 8.93/2.06 % (3615751)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1376058726:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 8.93/2.06 % (3615749)lrs+10_1_sil=8000:sp=occurrence:random_seed=1954434049:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 8.93/2.06 % (3615750)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1709597430:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 8.93/2.06 % (3615750)Refutation not found, incomplete strategy
% 8.93/2.06 % (3615750)------------------------------
% 8.93/2.06 % (3615750)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.93/2.06 % (3615750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.93/2.06 % (3615750)CaDiCaL version: 2.1.3
% 8.93/2.06 % (3615750)Termination reason: Refutation not found, incomplete strategy
% 8.93/2.06 % (3615750)Time elapsed: 0.016 s
% 8.93/2.06 % (3615750)Peak memory usage: 89 MB
% 8.93/2.06 % (3615750)Instructions burned: 16 (million)
% 8.93/2.06 % (3615752)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=939652187:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 8.93/2.06 % (3615751)Instruction limit reached!
% 8.93/2.06 % (3615751)------------------------------
% 8.93/2.06 % (3615751)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.93/2.06 % (3615751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.93/2.06 % (3615751)CaDiCaL version: 2.1.3
% 8.93/2.06 % (3615751)Termination reason: Instruction limit
% 8.93/2.06 % (3615751)Termination phase: Saturation
% 8.93/2.06 % (3615751)Time elapsed: 0.165 s
% 8.93/2.06 % (3615751)Peak memory usage: 92 MB
% 8.93/2.06 % (3615751)Instructions burned: 325 (million)
% 8.93/2.06 % (3615749)Instruction limit reached!
% 8.93/2.06 % (3615749)------------------------------
% 8.93/2.06 % (3615749)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.93/2.06 % (3615749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.93/2.06 % (3615749)CaDiCaL version: 2.1.3
% 8.93/2.06 % (3615749)Termination reason: Instruction limit
% 8.93/2.06 % (3615749)Termination phase: Saturation
% 8.93/2.06 % (3615749)Time elapsed: 0.294 s
% 8.93/2.06 % (3615749)Peak memory usage: 92 MB
% 8.93/2.06 % (3615749)Instructions burned: 285 (million)
% 8.93/2.06 % (3615752)Instruction limit reached!
% 8.93/2.06 % (3615752)------------------------------
% 8.93/2.06 % (3615752)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.93/2.06 % (3615752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.93/2.06 % (3615752)CaDiCaL version: 2.1.3
% 8.93/2.06 % (3615752)Termination reason: Instruction limit
% 8.93/2.06 % (3615752)Termination phase: Saturation
% 8.93/2.06 % (3615752)Time elapsed: 0.225 s
% 8.93/2.06 % (3615752)Peak memory usage: 92 MB
% 8.93/2.06 % (3615752)Instructions burned: 249 (million)
% 8.93/2.06 % (3615757)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2709402593:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2991 on theBenchmark for (2991ds/294Mi)
% 8.93/2.06 % (3615757)First to succeed.
% 8.93/2.06 % (3615757)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3615725"
% 8.93/2.06 % (3615750)------------------------------
% 8.93/2.06 % (3615750)------------------------------
% 8.93/2.06 % (3615758)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3231284107:i=2350_2990 on theBenchmark for (2990ds/2350Mi)
% 8.93/2.06 % (3615759)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=359251916:cts=off:i=113:fsr=off:ss=included:sgt=4_2990 on theBenchmark for (2990ds/113Mi)
% 8.93/2.06 % (3615757)Refutation found. Thanks to Tanya!
% 8.93/2.06 % SZS status Theorem for theBenchmark
% 8.93/2.06 % SZS output start Proof for theBenchmark
% See solution above
% 9.67/2.26 % (3615757)------------------------------
% 9.67/2.26 % (3615757)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.67/2.26 % (3615757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.67/2.26 % (3615757)CaDiCaL version: 2.1.3
% 9.67/2.26 % (3615757)Termination reason: Refutation
% 9.67/2.26 % (3615757)Time elapsed: 0.036 s
% 9.67/2.26 % (3615757)Peak memory usage: 91 MB
% 9.67/2.26 % (3615757)Instructions burned: 69 (million)
% 9.67/2.26 % (3615757)------------------------------
% 9.67/2.26 % (3615757)------------------------------
% 9.67/2.26 % (3615725)Success in time 1.314 s
% 9.67/2.26 % Vampire exiting
%------------------------------------------------------------------------------