%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW213+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 01:29:51 PM UTC 2026
% Result : Theorem 5.55s 1.65s
% Output : Refutation 7.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 47 ( 15 unt; 3 def)
% Number of atoms : 93 ( 43 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 99 ( 53 ~; 37 |; 2 &)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 5 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-3 aty)
% Number of variables : 53 ( 0 sgn 50 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1,X2,X3] :
( class_Rings_Ocomm__semiring__0(X3)
=> hAPP(c_Polynomial_Opoly(X3,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X3,X2,X1)),X0) = hAPP(c_Polynomial_Opoly(X3,X2),c_Groups_Oplus__class_Oplus(X3,X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_poly__offset__poly) ).
fof(f14,axiom,
! [X0,X1,X2] :
( class_Rings_Ocomm__semiring__0(X2)
=> c_Polynomial_Odegree(X2,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X2,X1,X0)) = c_Polynomial_Odegree(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_degree__offset__poly) ).
fof(f20,axiom,
! [X0,X1] :
? [X2] :
( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,X2) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,X1)
& ! [X3] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X2),X3) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X1),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_poly__offset) ).
fof(f1181,axiom,
class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Ocomm__semiring__0) ).
fof(f1263,axiom,
! [X0] :
( c_Polynomial_Odegree(tc_Complex_Ocomplex,X0) = c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)
=> ( ! [X1] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X0),X1) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_z,X1))
=> v_thesis____ ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f1264,conjecture,
v_thesis____,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
fof(f1265,negated_conjecture,
~ v_thesis____,
inference(negated_conjecture,[status(cth)],[f1264]) ).
fof(f1268,plain,
~ v_thesis____,
inference(flattening,[],[f1265]) ).
fof(f1275,plain,
! [X0,X1,X2,X3] :
( hAPP(c_Polynomial_Opoly(X3,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X3,X2,X1)),X0) = hAPP(c_Polynomial_Opoly(X3,X2),c_Groups_Oplus__class_Oplus(X3,X1,X0))
| ~ class_Rings_Ocomm__semiring__0(X3) ),
inference(ennf_transformation,[],[f3]) ).
fof(f1287,plain,
! [X0,X1,X2] :
( c_Polynomial_Odegree(X2,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X2,X1,X0)) = c_Polynomial_Odegree(X2,X1)
| ~ class_Rings_Ocomm__semiring__0(X2) ),
inference(ennf_transformation,[],[f14]) ).
fof(f2480,plain,
! [X0] :
( v_thesis____
| ? [X1] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X0),X1) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_z,X1))
| c_Polynomial_Odegree(tc_Complex_Ocomplex,X0) != c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p) ),
inference(ennf_transformation,[],[f1263]) ).
fof(f2481,plain,
! [X0] :
( v_thesis____
| ? [X1] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X0),X1) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_z,X1))
| c_Polynomial_Odegree(tc_Complex_Ocomplex,X0) != c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p) ),
inference(flattening,[],[f2480]) ).
fof(f2486,plain,
! [X0,X1] :
( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,X1) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,sK1(X0,X1))
& ! [X3] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X1),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,X3)) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,sK1(X0,X1)),X3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0,X1))],[f20]) ).
fof(f2827,plain,
! [X0] :
( v_thesis____
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X0),sK23(X0)) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_z,sK23(X0)))
| c_Polynomial_Odegree(tc_Complex_Ocomplex,X0) != c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23]),skolemize(X1,sK23(X0))],[f2481]) ).
fof(f2830,plain,
! [X2,X3,X0,X1] :
( hAPP(c_Polynomial_Opoly(X3,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X3,X2,X1)),X0) = hAPP(c_Polynomial_Opoly(X3,X2),c_Groups_Oplus__class_Oplus(X3,X1,X0))
| ~ class_Rings_Ocomm__semiring__0(X3) ),
inference(cnf_transformation,[],[f1275]) ).
fof(f2844,plain,
! [X2,X0,X1] :
( c_Polynomial_Odegree(X2,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X2,X1,X0)) = c_Polynomial_Odegree(X2,X1)
| ~ class_Rings_Ocomm__semiring__0(X2) ),
inference(cnf_transformation,[],[f1287]) ).
fof(f2850,plain,
! [X3,X0,X1] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X1),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,X3)) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,sK1(X0,X1)),X3),
inference(cnf_transformation,[],[f2486]) ).
fof(f4411,plain,
class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1181]) ).
fof(f4493,plain,
! [X0] :
( v_thesis____
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X0),sK23(X0)) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_z,sK23(X0)))
| c_Polynomial_Odegree(tc_Complex_Ocomplex,X0) != c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p) ),
inference(cnf_transformation,[],[f2827]) ).
fof(f4494,plain,
~ v_thesis____,
inference(cnf_transformation,[],[f1268]) ).
fof(f4911,plain,
! [X0] :
( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X0),sK23(X0)) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_z,sK23(X0)))
| c_Polynomial_Odegree(tc_Complex_Ocomplex,X0) != c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p) ),
inference(forward_subsumption_resolution,[],[f4493,f4494]) ).
fof(f4912,plain,
! [X0] :
( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X0),sK23(X0)) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,sK1(v_z,v_p)),sK23(X0))
| c_Polynomial_Odegree(tc_Complex_Ocomplex,X0) != c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p) ),
inference(forward_demodulation,[],[f4911,f2850]) ).
fof(f4919,definition,
( spl35_2
<=> ! [X0] :
( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X0),sK23(X0)) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,sK1(v_z,v_p)),sK23(X0))
| c_Polynomial_Odegree(tc_Complex_Ocomplex,X0) != c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p) ) ),
introduced(definition,[new_symbols(definition,[spl35_2])],[avatar_definition]) ).
fof(f4920,plain,
( ! [X0] :
( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X0),sK23(X0)) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,sK1(v_z,v_p)),sK23(X0))
| c_Polynomial_Odegree(tc_Complex_Ocomplex,X0) != c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p) )
| ~ spl35_2 ),
inference(avatar_component_clause,[],[f4919]) ).
fof(f4921,plain,
spl35_2,
inference(avatar_split_clause,[],[f4912,f4919]) ).
fof(f4926,plain,
( ! [X0,X1] :
( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X0),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X1,sK23(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,X0,X1)))) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,sK1(v_z,v_p)),sK23(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,X0,X1)))
| c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p) != c_Polynomial_Odegree(tc_Complex_Ocomplex,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,X0,X1))
| ~ class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex) )
| ~ spl35_2 ),
inference(superposition,[],[f4920,f2830]) ).
fof(f4936,plain,
( ! [X0,X1] :
( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X0),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X1,sK23(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,X0,X1)))) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,sK1(v_z,v_p)),sK23(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,X0,X1)))
| c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p) != c_Polynomial_Odegree(tc_Complex_Ocomplex,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,X0,X1)) )
| ~ spl35_2 ),
inference(forward_subsumption_resolution,[],[f4926,f4411]) ).
fof(f4941,plain,
( ! [X0,X1] :
( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,sK1(v_z,v_p)),sK23(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,X0,X1))) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,sK1(X1,X0)),sK23(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,X0,X1)))
| c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p) != c_Polynomial_Odegree(tc_Complex_Ocomplex,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,X0,X1)) )
| ~ spl35_2 ),
inference(forward_demodulation,[],[f4936,f2850]) ).
fof(f4950,definition,
( spl35_4
<=> ! [X0,X1] :
( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,sK1(v_z,v_p)),sK23(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,X0,X1))) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,sK1(X1,X0)),sK23(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,X0,X1)))
| c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p) != c_Polynomial_Odegree(tc_Complex_Ocomplex,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,X0,X1)) ) ),
introduced(definition,[new_symbols(definition,[spl35_4])],[avatar_definition]) ).
fof(f4951,plain,
( ! [X0,X1] :
( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,sK1(v_z,v_p)),sK23(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,X0,X1))) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,sK1(X1,X0)),sK23(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,X0,X1)))
| c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p) != c_Polynomial_Odegree(tc_Complex_Ocomplex,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,X0,X1)) )
| ~ spl35_4 ),
inference(avatar_component_clause,[],[f4950]) ).
fof(f4952,plain,
( spl35_4
| ~ spl35_2 ),
inference(avatar_split_clause,[],[f4941,f4919,f4950]) ).
fof(f4962,plain,
( c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p) != c_Polynomial_Odegree(tc_Complex_Ocomplex,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,v_p,v_z))
| ~ spl35_4 ),
inference(equality_resolution,[],[f4951]) ).
fof(f4973,definition,
( spl35_5
<=> c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p) = c_Polynomial_Odegree(tc_Complex_Ocomplex,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,v_p,v_z)) ),
introduced(definition,[new_symbols(definition,[spl35_5])],[avatar_definition]) ).
fof(f4975,plain,
( c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p) != c_Polynomial_Odegree(tc_Complex_Ocomplex,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,v_p,v_z))
| spl35_5 ),
inference(avatar_component_clause,[],[f4973]) ).
fof(f4976,plain,
( ~ spl35_5
| ~ spl35_4 ),
inference(avatar_split_clause,[],[f4962,f4950,f4973]) ).
fof(f4977,plain,
( c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p) != c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)
| ~ class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex)
| spl35_5 ),
inference(superposition,[],[f4975,f2844]) ).
fof(f4979,plain,
( ~ class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex)
| spl35_5 ),
inference(trivial_inequality_removal,[],[f4977]) ).
fof(f4981,plain,
( $false
| spl35_5 ),
inference(forward_subsumption_resolution,[],[f4979,f4411]) ).
fof(f4982,plain,
spl35_5,
inference(avatar_contradiction_clause,[],[f4981]) ).
cnf(s2,plain,
spl35_2,
inference(sat_conversion,[],[f4921]) ).
cnf(s4,plain,
( ~ spl35_2
| spl35_4 ),
inference(sat_conversion,[],[f4952]) ).
cnf(s5,plain,
( ~ spl35_4
| ~ spl35_5 ),
inference(sat_conversion,[],[f4976]) ).
cnf(s6,plain,
spl35_5,
inference(sat_conversion,[],[f4982]) ).
cnf(s7,plain,
~ spl35_4,
inference(rat,[],[s5,s6]) ).
cnf(s8,plain,
~ spl35_2,
inference(rat,[],[s4,s7]) ).
cnf(s9,plain,
$false,
inference(rat,[],[s2,s8]) ).
fof(f4983,plain,
$false,
inference(avatar_sat_refutation,[],[s9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW213+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n002.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 13:21:07 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.55/1.65 % (346750)Detected formulas, will run a generic FOF schedule.
% 5.55/1.65 % (346757)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=2876150064:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.55/1.65 % (346760)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3345897772:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.55/1.65 % (346756)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=360250263:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.55/1.65 % (346758)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1708699296:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.55/1.65 % (346755)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=1299875856:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.55/1.65 % (346759)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1713075836:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.55/1.65 % (346761)dis-21_1_sil=8000:lcm=predicate:random_seed=2249814786: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)
% 5.55/1.65 % (346758)Instruction limit reached!
% 5.55/1.65 % (346758)------------------------------
% 5.55/1.65 % (346758)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.55/1.65 % (346758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.55/1.65 % (346758)CaDiCaL version: 2.1.3
% 5.55/1.65 % (346758)Termination reason: Instruction limit
% 5.55/1.65 % (346758)Termination phase: Saturation
% 5.55/1.65 % (346758)Time elapsed: 0.064 s
% 5.55/1.65 % (346758)Peak memory usage: 90 MB
% 5.55/1.65 % (346758)Instructions burned: 110 (million)
% 5.55/1.65 % (346759)Instruction limit reached!
% 5.55/1.65 % (346759)------------------------------
% 5.55/1.65 % (346759)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.55/1.65 % (346759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.55/1.65 % (346759)CaDiCaL version: 2.1.3
% 5.55/1.65 % (346759)Termination reason: Instruction limit
% 5.55/1.65 % (346759)Termination phase: Saturation
% 5.55/1.65 % (346759)Time elapsed: 0.072 s
% 5.55/1.65 % (346759)Peak memory usage: 90 MB
% 5.55/1.65 % (346759)Instructions burned: 121 (million)
% 5.55/1.65 % (346760)Instruction limit reached!
% 5.55/1.65 % (346760)------------------------------
% 5.55/1.65 % (346760)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.55/1.65 % (346760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.55/1.65 % (346760)CaDiCaL version: 2.1.3
% 5.55/1.65 % (346760)Termination reason: Instruction limit
% 5.55/1.65 % (346760)Termination phase: Saturation
% 5.55/1.65 % (346760)Time elapsed: 0.078 s
% 5.55/1.65 % (346760)Peak memory usage: 91 MB
% 5.55/1.65 % (346760)Instructions burned: 140 (million)
% 5.55/1.65 % (346761)Instruction limit reached!
% 5.55/1.65 % (346761)------------------------------
% 5.55/1.65 % (346761)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.55/1.65 % (346761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.55/1.65 % (346761)CaDiCaL version: 2.1.3
% 5.55/1.65 % (346761)Termination reason: Instruction limit
% 5.55/1.65 % (346761)Termination phase: Saturation
% 5.55/1.65 % (346761)Time elapsed: 0.066 s
% 5.55/1.65 % (346761)Peak memory usage: 90 MB
% 5.55/1.65 % (346761)Instructions burned: 129 (million)
% 5.55/1.65 % (346769)lrs+10_1_sil=8000:sp=occurrence:random_seed=3747447304:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.55/1.65 % (346770)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1755754215:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.55/1.65 % (346770)Refutation not found, incomplete strategy
% 5.55/1.65 % (346770)------------------------------
% 5.55/1.65 % (346770)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.55/1.65 % (346770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.55/1.65 % (346770)CaDiCaL version: 2.1.3
% 5.55/1.65 % (346770)Termination reason: Refutation not found, incomplete strategy
% 5.55/1.65 % (346770)Time elapsed: 0.009 s
% 5.55/1.65 % (346770)Peak memory usage: 89 MB
% 5.55/1.65 % (346770)Instructions burned: 16 (million)
% 5.55/1.65 % (346772)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=1437244335:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 5.55/1.65 % (346771)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3455696926:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.55/1.65 % (346772)Instruction limit reached!
% 5.55/1.65 % (346772)------------------------------
% 5.55/1.65 % (346772)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.55/1.65 % (346772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.55/1.65 % (346772)CaDiCaL version: 2.1.3
% 5.55/1.65 % (346772)Termination reason: Instruction limit
% 5.55/1.65 % (346772)Termination phase: Saturation
% 5.55/1.65 % (346772)Time elapsed: 0.145 s
% 5.55/1.65 % (346772)Peak memory usage: 92 MB
% 5.55/1.65 % (346772)Instructions burned: 249 (million)
% 5.55/1.65 % (346769)Instruction limit reached!
% 5.55/1.65 % (346769)------------------------------
% 5.55/1.65 % (346769)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.55/1.65 % (346769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.55/1.65 % (346769)CaDiCaL version: 2.1.3
% 5.55/1.65 % (346769)Termination reason: Instruction limit
% 5.55/1.65 % (346769)Termination phase: Saturation
% 5.55/1.65 % (346769)Time elapsed: 0.182 s
% 5.55/1.65 % (346769)Peak memory usage: 92 MB
% 5.55/1.65 % (346769)Instructions burned: 286 (million)
% 5.55/1.65 % (346771)Instruction limit reached!
% 5.55/1.65 % (346771)------------------------------
% 5.55/1.65 % (346771)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.55/1.65 % (346771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.55/1.65 % (346771)CaDiCaL version: 2.1.3
% 5.55/1.65 % (346771)Termination reason: Instruction limit
% 5.55/1.65 % (346771)Termination phase: Saturation
% 5.55/1.65 % (346771)Time elapsed: 0.187 s
% 5.55/1.65 % (346771)Peak memory usage: 91 MB
% 5.55/1.65 % (346771)Instructions burned: 326 (million)
% 5.55/1.65 % (346770)------------------------------
% 5.55/1.65 % (346770)------------------------------
% 5.55/1.65 % (346777)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2570772184:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 5.55/1.65 % (346778)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3199344590:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 5.55/1.65 % (346757)First to succeed.
% 5.55/1.65 % (346757)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-346750"
% 5.55/1.65 % (346777)Also succeeded, but the first one will report.
% 5.55/1.65 % (346779)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2803009466:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 5.55/1.65 % (346780)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3134739109:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 5.55/1.65 % (346779)Instruction limit reached!
% 5.55/1.65 % (346779)------------------------------
% 5.55/1.65 % (346779)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.55/1.65 % (346779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.55/1.65 % (346779)CaDiCaL version: 2.1.3
% 5.55/1.65 % (346779)Termination reason: Instruction limit
% 5.55/1.65 % (346779)Termination phase: Saturation
% 5.55/1.65 % (346779)Time elapsed: 0.060 s
% 5.55/1.65 % (346779)Peak memory usage: 90 MB
% 5.55/1.65 % (346779)Instructions burned: 113 (million)
% 5.55/1.65 % (346780)Refutation not found, incomplete strategy
% 5.55/1.65 % (346780)------------------------------
% 5.55/1.65 % (346780)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.55/1.65 % (346780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.55/1.65 % (346780)CaDiCaL version: 2.1.3
% 5.55/1.65 % (346780)Termination reason: Refutation not found, incomplete strategy
% 5.55/1.65 % (346780)Time elapsed: 0.059 s
% 5.55/1.65 % (346780)Peak memory usage: 90 MB
% 5.55/1.65 % (346780)Instructions burned: 118 (million)
% 5.55/1.65 % (346785)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=682542435:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 5.55/1.65 % (346755)Also succeeded, but the first one will report.
% 5.55/1.65 % (346757)Refutation found. Thanks to Tanya!
% 5.55/1.65 % SZS status Theorem for theBenchmark
% 5.55/1.65 % SZS output start Proof for theBenchmark
% See solution above
% 7.20/1.84 % (346757)------------------------------
% 7.20/1.84 % (346757)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.20/1.84 % (346757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.20/1.84 % (346757)CaDiCaL version: 2.1.3
% 7.20/1.84 % (346757)Termination reason: Refutation
% 7.20/1.84 % (346757)Time elapsed: 0.534 s
% 7.20/1.84 % (346757)Peak memory usage: 138 MB
% 7.20/1.84 % (346757)Instructions burned: 1224 (million)
% 7.20/1.84 % (346757)------------------------------
% 7.20/1.84 % (346757)------------------------------
% 7.20/1.84 % (346750)Success in time 0.975 s
% 7.20/1.84 % Vampire exiting
%------------------------------------------------------------------------------