%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW284+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 : n017.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 01:30:01 PM UTC 2026
% Result : Theorem 6.31s 2.20s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of formulae : 54 ( 26 unt; 0 def)
% Number of atoms : 108 ( 76 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 95 ( 41 ~; 37 |; 5 &)
% ( 5 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-3 aty)
% Number of variables : 76 ( 75 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ! [X2] : hAPP(X1,X2) = hAPP(X0,X2)
=> X1 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ext) ).
fof(f2,axiom,
v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_pe) ).
fof(f3,axiom,
! [X0,X1] :
( class_Rings_Ocomm__semiring__0(X1)
=> hAPP(c_Polynomial_Opoly(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))),X0) = c_Groups_Ozero__class_Ozero(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_poly__0) ).
fof(f5,axiom,
! [X0,X1,X2] :
( ( class_Int_Oring__char__0(X2)
& class_Rings_Oidom(X2) )
=> ( c_Polynomial_Opoly(X2,X1) = c_Polynomial_Opoly(X2,X0)
<=> X1 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_poly__eq__iff) ).
fof(f13,axiom,
! [X0,X1,X2] :
( class_Groups_Ozero(X2)
=> ( c_Polynomial_Omonom(X2,X1,X0) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
<=> X1 = c_Groups_Ozero__class_Ozero(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_monom__eq__0__iff) ).
fof(f25,axiom,
! [X0,X1,X2,X3] :
( class_Groups_Ozero(X3)
=> ( ( X2 = X1
=> hAPP(c_Polynomial_Ocoeff(X3,c_Polynomial_Omonom(X3,X0,X2)),X1) = X0 )
& ( X2 != X1
=> hAPP(c_Polynomial_Ocoeff(X3,c_Polynomial_Omonom(X3,X0,X2)),X1) = c_Groups_Ozero__class_Ozero(X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_coeff__monom) ).
fof(f1102,axiom,
class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Ocomm__semiring__0) ).
fof(f1115,axiom,
class_Int_Oring__char__0(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Int_Oring__char__0) ).
fof(f1120,axiom,
class_Groups_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Groups_Ozero) ).
fof(f1122,axiom,
class_Rings_Oidom(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Oidom) ).
fof(f1180,axiom,
! [X0] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X0) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f1181,conjecture,
v_q = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
fof(f1182,negated_conjecture,
v_q != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(negated_conjecture,[status(cth)],[f1181]) ).
fof(f1184,plain,
c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_q,
inference(flattening,[],[f1182]) ).
fof(f1185,plain,
! [X0,X1] :
( X1 = X0
| ? [X2] : hAPP(X1,X2) != hAPP(X0,X2) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1186,plain,
! [X0,X1] :
( hAPP(c_Polynomial_Opoly(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))),X0) = c_Groups_Ozero__class_Ozero(X1)
| ~ class_Rings_Ocomm__semiring__0(X1) ),
inference(ennf_transformation,[],[f3]) ).
fof(f1189,plain,
! [X0,X1,X2] :
( ( c_Polynomial_Opoly(X2,X1) = c_Polynomial_Opoly(X2,X0)
<=> X1 = X0 )
| ~ class_Int_Oring__char__0(X2)
| ~ class_Rings_Oidom(X2) ),
inference(ennf_transformation,[],[f5]) ).
fof(f1190,plain,
! [X0,X1,X2] :
( ( c_Polynomial_Opoly(X2,X1) = c_Polynomial_Opoly(X2,X0)
<=> X1 = X0 )
| ~ class_Int_Oring__char__0(X2)
| ~ class_Rings_Oidom(X2) ),
inference(flattening,[],[f1189]) ).
fof(f1199,plain,
! [X0,X1,X2] :
( ( c_Polynomial_Omonom(X2,X1,X0) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
<=> X1 = c_Groups_Ozero__class_Ozero(X2) )
| ~ class_Groups_Ozero(X2) ),
inference(ennf_transformation,[],[f13]) ).
fof(f1211,plain,
! [X0,X1,X2,X3] :
( ( ( hAPP(c_Polynomial_Ocoeff(X3,c_Polynomial_Omonom(X3,X0,X2)),X1) = X0
| X1 != X2 )
& ( hAPP(c_Polynomial_Ocoeff(X3,c_Polynomial_Omonom(X3,X0,X2)),X1) = c_Groups_Ozero__class_Ozero(X3)
| X1 = X2 ) )
| ~ class_Groups_Ozero(X3) ),
inference(ennf_transformation,[],[f25]) ).
fof(f2371,plain,
! [X0,X1] :
( X1 = X0
| hAPP(X1,sK1(X0,X1)) != hAPP(X0,sK1(X0,X1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0,X1))],[f1185]) ).
fof(f2373,plain,
! [X0,X1,X2] :
( ( ( c_Polynomial_Opoly(X2,X1) = c_Polynomial_Opoly(X2,X0)
| X0 != X1 )
& ( X1 = X0
| c_Polynomial_Opoly(X2,X1) != c_Polynomial_Opoly(X2,X0) ) )
| ~ class_Int_Oring__char__0(X2)
| ~ class_Rings_Oidom(X2) ),
inference(nnf_transformation,[],[f1190]) ).
fof(f2379,plain,
! [X0,X1,X2] :
( ( ( c_Polynomial_Omonom(X2,X1,X0) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
| c_Groups_Ozero__class_Ozero(X2) != X1 )
& ( X1 = c_Groups_Ozero__class_Ozero(X2)
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) != c_Polynomial_Omonom(X2,X1,X0) ) )
| ~ class_Groups_Ozero(X2) ),
inference(nnf_transformation,[],[f1199]) ).
fof(f2677,plain,
! [X0,X1] :
( hAPP(X1,sK1(X0,X1)) != hAPP(X0,sK1(X0,X1))
| X0 = X1 ),
inference(cnf_transformation,[],[f2371]) ).
fof(f2678,plain,
v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(cnf_transformation,[],[f2]) ).
fof(f2679,plain,
! [X0,X1] :
( ~ class_Rings_Ocomm__semiring__0(X1)
| hAPP(c_Polynomial_Opoly(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))),X0) = c_Groups_Ozero__class_Ozero(X1) ),
inference(cnf_transformation,[],[f1186]) ).
fof(f2682,plain,
! [X2,X0,X1] :
( ~ class_Int_Oring__char__0(X2)
| c_Polynomial_Opoly(X2,X1) != c_Polynomial_Opoly(X2,X0)
| X0 = X1
| ~ class_Rings_Oidom(X2) ),
inference(cnf_transformation,[],[f2373]) ).
fof(f2696,plain,
! [X2,X0,X1] :
( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) = c_Polynomial_Omonom(X2,X1,X0)
| c_Groups_Ozero__class_Ozero(X2) != X1
| ~ class_Groups_Ozero(X2) ),
inference(cnf_transformation,[],[f2379]) ).
fof(f2712,plain,
! [X2,X3,X0,X1] :
( hAPP(c_Polynomial_Ocoeff(X3,c_Polynomial_Omonom(X3,X0,X2)),X1) = X0
| X1 != X2
| ~ class_Groups_Ozero(X3) ),
inference(cnf_transformation,[],[f1211]) ).
fof(f4197,plain,
class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1102]) ).
fof(f4210,plain,
class_Int_Oring__char__0(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1115]) ).
fof(f4215,plain,
class_Groups_Ozero(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1120]) ).
fof(f4217,plain,
class_Rings_Oidom(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1122]) ).
fof(f4275,plain,
! [X0] : c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X0),
inference(cnf_transformation,[],[f1180]) ).
fof(f4276,plain,
c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_q,
inference(cnf_transformation,[],[f1184]) ).
fof(f4403,plain,
! [X2,X0] :
( ~ class_Groups_Ozero(X2)
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) = c_Polynomial_Omonom(X2,c_Groups_Ozero__class_Ozero(X2),X0) ),
inference(equality_resolution,[],[f2696]) ).
fof(f4406,plain,
! [X2,X3,X0] :
( ~ class_Groups_Ozero(X3)
| hAPP(c_Polynomial_Ocoeff(X3,c_Polynomial_Omonom(X3,X0,X2)),X2) = X0 ),
inference(equality_resolution,[],[f2712]) ).
fof(f4708,plain,
v_p != v_q,
inference(superposition,[],[f4276,f2678]) ).
fof(f4744,plain,
! [X0] : c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Polynomial_Omonom(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),X0),
inference(resolution,[],[f4403,f4215]) ).
fof(f4745,plain,
! [X0] : v_p = c_Polynomial_Omonom(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),X0),
inference(forward_demodulation,[],[f4744,f2678]) ).
fof(f4753,plain,
! [X0] : c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))),X0),
inference(resolution,[],[f2679,f4197]) ).
fof(f4756,plain,
! [X0] : c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X0),
inference(forward_demodulation,[],[f4753,f2678]) ).
fof(f4792,plain,
! [X0] :
( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != hAPP(X0,sK1(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X0))
| c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p) = X0 ),
inference(superposition,[],[f2677,f4756]) ).
fof(f4857,plain,
! [X0,X1] : hAPP(c_Polynomial_Ocoeff(tc_Complex_Ocomplex,c_Polynomial_Omonom(tc_Complex_Ocomplex,X0,X1)),X1) = X0,
inference(resolution,[],[f4406,f4215]) ).
fof(f4859,plain,
! [X0] : c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Ocoeff(tc_Complex_Ocomplex,v_p),X0),
inference(superposition,[],[f4857,f4745]) ).
fof(f4860,plain,
! [X0] :
( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != hAPP(X0,sK1(c_Polynomial_Ocoeff(tc_Complex_Ocomplex,v_p),X0))
| c_Polynomial_Ocoeff(tc_Complex_Ocomplex,v_p) = X0 ),
inference(superposition,[],[f2677,f4859]) ).
fof(f4865,plain,
( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p) = c_Polynomial_Ocoeff(tc_Complex_Ocomplex,v_p) ),
inference(superposition,[],[f4792,f4859]) ).
fof(f4867,plain,
c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p) = c_Polynomial_Ocoeff(tc_Complex_Ocomplex,v_p),
inference(trivial_inequality_removal,[],[f4865]) ).
fof(f4893,plain,
! [X0,X1] :
( c_Polynomial_Opoly(tc_Complex_Ocomplex,X0) != c_Polynomial_Opoly(tc_Complex_Ocomplex,X1)
| X0 = X1
| ~ class_Rings_Oidom(tc_Complex_Ocomplex) ),
inference(resolution,[],[f4210,f2682]) ).
fof(f4894,plain,
! [X0,X1] :
( c_Polynomial_Opoly(tc_Complex_Ocomplex,X0) != c_Polynomial_Opoly(tc_Complex_Ocomplex,X1)
| X0 = X1 ),
inference(forward_subsumption_resolution,[],[f4893,f4217]) ).
fof(f4907,plain,
( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q) = c_Polynomial_Ocoeff(tc_Complex_Ocomplex,v_p) ),
inference(superposition,[],[f4860,f4275]) ).
fof(f4908,plain,
c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q) = c_Polynomial_Ocoeff(tc_Complex_Ocomplex,v_p),
inference(trivial_inequality_removal,[],[f4907]) ).
fof(f4972,plain,
! [X0] :
( c_Polynomial_Opoly(tc_Complex_Ocomplex,X0) != c_Polynomial_Ocoeff(tc_Complex_Ocomplex,v_p)
| v_p = X0 ),
inference(superposition,[],[f4894,f4867]) ).
fof(f4975,plain,
$false,
inference(unit_resulting_resolution,[],[f4972,f4708,f4908]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW284+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n017.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 13:25:21 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running first-order theorem proving
% 0.09/0.24 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
% 6.31/2.20 % (3547424)Detected formulas, will run a generic FOF schedule.
% 6.31/2.20 % (3547433)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1016315061:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.31/2.20 % (3547433)Instruction limit reached!
% 6.31/2.20 % (3547433)------------------------------
% 6.31/2.20 % (3547433)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.31/2.20 % (3547433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/2.20 % (3547433)CaDiCaL version: 2.1.3
% 6.31/2.20 % (3547433)Termination reason: Instruction limit
% 6.31/2.20 % (3547433)Termination phase: Saturation
% 6.31/2.20 % (3547433)Time elapsed: 0.041 s
% 6.31/2.20 % (3547433)Peak memory usage: 89 MB
% 6.31/2.20 % (3547433)Instructions burned: 120 (million)
% 6.31/2.20 % (3547431)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=478478407:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.31/2.20 % (3547429)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=832852684:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.31/2.20 % (3547432)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=68292142:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.31/2.20 % (3547435)dis-21_1_sil=8000:lcm=predicate:random_seed=275330829: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)
% 6.31/2.20 % (3547430)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=4136066139:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.31/2.20 % (3547434)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1810505617:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.31/2.20 % (3547432)Instruction limit reached!
% 6.31/2.20 % (3547432)------------------------------
% 6.31/2.20 % (3547432)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.31/2.20 % (3547432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/2.20 % (3547432)CaDiCaL version: 2.1.3
% 6.31/2.20 % (3547432)Termination reason: Instruction limit
% 6.31/2.20 % (3547432)Termination phase: Saturation
% 6.31/2.20 % (3547432)Time elapsed: 0.067 s
% 6.31/2.20 % (3547432)Peak memory usage: 90 MB
% 6.31/2.20 % (3547432)Instructions burned: 109 (million)
% 6.31/2.20 % (3547435)Instruction limit reached!
% 6.31/2.20 % (3547435)------------------------------
% 6.31/2.20 % (3547435)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.31/2.20 % (3547435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/2.20 % (3547435)CaDiCaL version: 2.1.3
% 6.31/2.20 % (3547435)Termination reason: Instruction limit
% 6.31/2.20 % (3547435)Termination phase: Saturation
% 6.31/2.20 % (3547435)Time elapsed: 0.068 s
% 6.31/2.20 % (3547435)Peak memory usage: 90 MB
% 6.31/2.20 % (3547435)Instructions burned: 129 (million)
% 6.31/2.20 % (3547434)Instruction limit reached!
% 6.31/2.20 % (3547434)------------------------------
% 6.31/2.20 % (3547434)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.31/2.20 % (3547434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/2.20 % (3547434)CaDiCaL version: 2.1.3
% 6.31/2.20 % (3547434)Termination reason: Instruction limit
% 6.31/2.20 % (3547434)Termination phase: Saturation
% 6.31/2.20 % (3547434)Time elapsed: 0.082 s
% 6.31/2.20 % (3547434)Peak memory usage: 91 MB
% 6.31/2.20 % (3547434)Instructions burned: 139 (million)
% 6.31/2.20 % (3547444)lrs+10_1_sil=8000:sp=occurrence:random_seed=3589613280:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.31/2.20 % (3547445)lrs+10_1_sil=32000:urr=on:br=off:random_seed=500523410:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.31/2.20 % (3547446)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1935440000:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.31/2.20 % (3547444)Instruction limit reached!
% 6.31/2.20 % (3547444)------------------------------
% 6.31/2.20 % (3547444)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.31/2.20 % (3547444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/2.20 % (3547444)CaDiCaL version: 2.1.3
% 6.31/2.20 % (3547444)Termination reason: Instruction limit
% 6.31/2.20 % (3547444)Termination phase: Saturation
% 6.31/2.20 % (3547444)Time elapsed: 0.104 s
% 6.31/2.20 % (3547444)Peak memory usage: 92 MB
% 6.31/2.20 % (3547444)Instructions burned: 287 (million)
% 6.31/2.20 % (3547445)Refutation not found, incomplete strategy
% 6.31/2.20 % (3547445)------------------------------
% 6.31/2.20 % (3547445)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.31/2.20 % (3547445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/2.20 % (3547445)CaDiCaL version: 2.1.3
% 6.31/2.20 % (3547445)Termination reason: Refutation not found, incomplete strategy
% 6.31/2.20 % (3547445)Time elapsed: 0.009 s
% 6.31/2.20 % (3547445)Peak memory usage: 89 MB
% 6.31/2.20 % (3547445)Instructions burned: 17 (million)
% 6.31/2.20 % (3547447)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=1391098098:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 6.31/2.20 % (3547451)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1879577033:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.31/2.20 % (3547447)Instruction limit reached!
% 6.31/2.20 % (3547447)------------------------------
% 6.31/2.20 % (3547447)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.31/2.20 % (3547447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/2.20 % (3547447)CaDiCaL version: 2.1.3
% 6.31/2.20 % (3547447)Termination reason: Instruction limit
% 6.31/2.20 % (3547447)Termination phase: Saturation
% 6.31/2.20 % (3547447)Time elapsed: 0.150 s
% 6.31/2.20 % (3547447)Peak memory usage: 92 MB
% 6.31/2.20 % (3547447)Instructions burned: 249 (million)
% 6.31/2.20 % (3547446)Instruction limit reached!
% 6.31/2.20 % (3547446)------------------------------
% 6.31/2.20 % (3547446)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.31/2.20 % (3547446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/2.20 % (3547446)CaDiCaL version: 2.1.3
% 6.31/2.20 % (3547446)Termination reason: Instruction limit
% 6.31/2.20 % (3547446)Termination phase: Saturation
% 6.31/2.20 % (3547446)Time elapsed: 0.192 s
% 6.31/2.20 % (3547446)Peak memory usage: 93 MB
% 6.31/2.20 % (3547446)Instructions burned: 325 (million)
% 6.31/2.20 % (3547451)Instruction limit reached!
% 6.31/2.20 % (3547451)------------------------------
% 6.31/2.20 % (3547451)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.31/2.20 % (3547451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/2.20 % (3547451)CaDiCaL version: 2.1.3
% 6.31/2.20 % (3547451)Termination reason: Instruction limit
% 6.31/2.20 % (3547451)Termination phase: Saturation
% 6.31/2.20 % (3547451)Time elapsed: 0.089 s
% 6.31/2.20 % (3547451)Peak memory usage: 92 MB
% 6.31/2.20 % (3547451)Instructions burned: 298 (million)
% 6.31/2.20 % (3547445)------------------------------
% 6.31/2.20 % (3547445)------------------------------
% 6.31/2.20 % (3547456)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3749691965:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.31/2.20 % (3547454)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3821265227:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 6.31/2.20 % (3547455)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2828430429:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 6.31/2.20 % (3547456)Refutation not found, incomplete strategy
% 6.31/2.20 % (3547456)------------------------------
% 6.31/2.20 % (3547456)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.31/2.20 % (3547456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/2.20 % (3547456)CaDiCaL version: 2.1.3
% 6.31/2.20 % (3547456)Termination reason: Refutation not found, incomplete strategy
% 6.31/2.20 % (3547456)Time elapsed: 0.028 s
% 6.31/2.20 % (3547456)Peak memory usage: 90 MB
% 6.31/2.20 % (3547456)Instructions burned: 108 (million)
% 6.31/2.20 % (3547455)Instruction limit reached!
% 6.31/2.20 % (3547455)------------------------------
% 6.31/2.20 % (3547455)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.31/2.20 % (3547455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/2.20 % (3547455)CaDiCaL version: 2.1.3
% 6.31/2.20 % (3547455)Termination reason: Instruction limit
% 6.31/2.20 % (3547455)Termination phase: Saturation
% 6.31/2.20 % (3547455)Time elapsed: 0.061 s
% 6.31/2.20 % (3547455)Peak memory usage: 90 MB
% 6.31/2.20 % (3547455)Instructions burned: 114 (million)
% 6.31/2.20 % (3547457)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1189935297:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 6.31/2.20 % (3547457)Instruction limit reached!
% 6.31/2.20 % (3547457)------------------------------
% 6.31/2.20 % (3547457)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.31/2.20 % (3547457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/2.20 % (3547457)CaDiCaL version: 2.1.3
% 6.31/2.20 % (3547457)Termination reason: Instruction limit
% 6.31/2.20 % (3547457)Termination phase: Saturation
% 6.31/2.20 % (3547457)Time elapsed: 0.061 s
% 6.31/2.20 % (3547457)Peak memory usage: 90 MB
% 6.31/2.20 % (3547457)Instructions burned: 116 (million)
% 6.31/2.20 % (3547456)------------------------------
% 6.31/2.20 % (3547456)------------------------------
% 6.31/2.20 % (3547461)lrs+10_1_sil=8000:sp=occurrence:random_seed=2114423087:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 6.31/2.20 % (3547464)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2025804529:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 6.31/2.20 % (3547463)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2298324291:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 6.31/2.20 % (3547430)First to succeed.
% 6.31/2.20 % (3547430)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3547424"
% 6.31/2.20 % (3547429)Also succeeded, but the first one will report.
% 6.31/2.20 % (3547463)Instruction limit reached!
% 6.31/2.20 % (3547463)------------------------------
% 6.31/2.20 % (3547463)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.31/2.20 % (3547463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/2.20 % (3547463)CaDiCaL version: 2.1.3
% 6.31/2.20 % (3547463)Termination reason: Instruction limit
% 6.31/2.20 % (3547463)Termination phase: Saturation
% 6.31/2.20 % (3547463)Time elapsed: 0.241 s
% 6.31/2.20 % (3547463)Peak memory usage: 95 MB
% 6.31/2.20 % (3547463)Instructions burned: 438 (million)
% 6.31/2.20 % (3547431)Also succeeded, but the first one will report.
% 6.31/2.20 % (3547468)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3546414525:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2986 on theBenchmark for (2986ds/134Mi)
% 6.31/2.20 % (3547430)Refutation found. Thanks to Tanya!
% 6.31/2.20 % SZS status Theorem for theBenchmark
% 6.31/2.20 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/2.40 % (3547430)------------------------------
% 0.21/2.40 % (3547430)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/2.40 % (3547430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/2.40 % (3547430)CaDiCaL version: 2.1.3
% 0.21/2.40 % (3547430)Termination reason: Refutation
% 0.21/2.40 % (3547430)Time elapsed: 1.028 s
% 0.21/2.40 % (3547430)Peak memory usage: 148 MB
% 0.21/2.40 % (3547430)Instructions burned: 1639 (million)
% 0.21/2.40 % (3547430)------------------------------
% 0.21/2.40 % (3547430)------------------------------
% 0.21/2.40 % (3547424)Success in time 1.517 s
% 0.21/2.40 % Vampire exiting
%------------------------------------------------------------------------------