%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV661+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 12:58:31 PM UTC 2026
% Result : Theorem 2.64s 1.69s
% Output : Refutation 5.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 14
% Syntax : Number of formulae : 61 ( 26 unt; 2 def)
% Number of atoms : 126 ( 40 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 108 ( 43 ~; 38 |; 19 &)
% ( 5 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 3 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-3 aty)
% Number of variables : 80 ( 0 sgn 74 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
p(c_24True),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','_HAMMER_COQ_TRUE') ).
fof(f220,axiom,
! [X0,X1] :
( cType___24t(X0)
=> ( cExtLib_2eCore_2eType_2etype___24t(X0,X1)
=> ? [X2] :
( c_24__type__14___24t(X0,X2)
& ? [X3] :
( c_24__type__8___24t(X0,X3)
& X1 = cExtLib_2eCore_2eType_2eBuild__type___24a3(X0,X2,X3)
& cExtLib_2eCore_2eType_2eproper___24a2(X0,X1) = X3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_def_ExtLib.Core.Type.proper') ).
fof(f222,axiom,
cN_2etype__N = cExtLib_2eCore_2eType_2eBuild__type___24a3(cCoq_2eNumbers_2eBinNums_2eN,c_3d___24a1(cCoq_2eNumbers_2eBinNums_2eN),c_24__lam__35284),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_def_N.type_N') ).
fof(f344,axiom,
! [X0,X1,X2,X3,X4,X5] :
( cExtLib_2eCore_2eType_2eBuild__type___24a3(X0,X2,X4) = cExtLib_2eCore_2eType_2eBuild__type___24a3(X1,X3,X5)
=> ( X4 = X5
& X2 = X3
& X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_inj_ExtLib.Core.Type.Build_type') ).
fof(f420,axiom,
! [X0] :
( c_24__lam__35284___24a1(X0)
<=> p(c_24True) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_lam_35284') ).
fof(f1104,axiom,
cType___24t(cCoq_2eNumbers_2eBinNums_2eN),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_typeof_Coq.Numbers.BinNums.N') ).
fof(f1307,axiom,
cExtLib_2eCore_2eType_2etype___24t(cCoq_2eNumbers_2eBinNums_2eN,cN_2etype__N),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_typeof_N.type_N') ).
fof(f1931,axiom,
! [X0] :
( p(happ(c_24__lam__35284,X0))
<=> c_24__lam__35284___24a1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','$adef_$_lam_35284_$a1') ).
fof(f1963,axiom,
! [X0,X1,X2] :
( p(happ(happ(happ(cExtLib_2eCore_2eType_2eproper,X0),X1),X2))
<=> cExtLib_2eCore_2eType_2eproper___24a3(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','$adef_ExtLib.Core.Type.proper_$a3') ).
fof(f2120,axiom,
! [X0,X1] : happ(happ(cExtLib_2eCore_2eType_2eproper,X0),X1) = cExtLib_2eCore_2eType_2eproper___24a2(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','$adef_ExtLib.Core.Type.proper_$a2') ).
fof(f2130,axiom,
! [X0,X1,X2] : happ(happ(happ(cExtLib_2eCore_2eType_2eBuild__type,X0),X1),X2) = cExtLib_2eCore_2eType_2eBuild__type___24a3(X0,X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','$adef_ExtLib.Core.Type.Build_type_$a3') ).
fof(f2457,conjecture,
cExtLib_2eCore_2eType_2eproper___24a3(cCoq_2eNumbers_2eBinNums_2eN,cN_2etype__N,cn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','_HAMMER_GOAL') ).
fof(f2458,negated_conjecture,
~ cExtLib_2eCore_2eType_2eproper___24a3(cCoq_2eNumbers_2eBinNums_2eN,cN_2etype__N,cn),
inference(negated_conjecture,[status(cth)],[f2457]) ).
fof(f2459,plain,
~ cExtLib_2eCore_2eType_2eproper___24a3(cCoq_2eNumbers_2eBinNums_2eN,cN_2etype__N,cn),
inference(flattening,[],[f2458]) ).
fof(f2518,plain,
! [X0,X1] :
( ? [X2] :
( c_24__type__14___24t(X0,X2)
& ? [X3] :
( c_24__type__8___24t(X0,X3)
& X1 = cExtLib_2eCore_2eType_2eBuild__type___24a3(X0,X2,X3)
& cExtLib_2eCore_2eType_2eproper___24a2(X0,X1) = X3 ) )
| ~ cExtLib_2eCore_2eType_2etype___24t(X0,X1)
| ~ cType___24t(X0) ),
inference(ennf_transformation,[],[f220]) ).
fof(f2519,plain,
! [X0,X1] :
( ? [X2] :
( c_24__type__14___24t(X0,X2)
& ? [X3] :
( c_24__type__8___24t(X0,X3)
& X1 = cExtLib_2eCore_2eType_2eBuild__type___24a3(X0,X2,X3)
& cExtLib_2eCore_2eType_2eproper___24a2(X0,X1) = X3 ) )
| ~ cExtLib_2eCore_2eType_2etype___24t(X0,X1)
| ~ cType___24t(X0) ),
inference(flattening,[],[f2518]) ).
fof(f2522,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( X4 = X5
& X2 = X3
& X0 = X1 )
| cExtLib_2eCore_2eType_2eBuild__type___24a3(X0,X2,X4) != cExtLib_2eCore_2eType_2eBuild__type___24a3(X1,X3,X5) ),
inference(ennf_transformation,[],[f344]) ).
fof(f2527,plain,
! [X0,X1,X2] :
( ( p(happ(happ(happ(cExtLib_2eCore_2eType_2eproper,X0),X1),X2))
| ~ cExtLib_2eCore_2eType_2eproper___24a3(X0,X1,X2) )
& ( cExtLib_2eCore_2eType_2eproper___24a3(X0,X1,X2)
| ~ p(happ(happ(happ(cExtLib_2eCore_2eType_2eproper,X0),X1),X2)) ) ),
inference(nnf_transformation,[],[f1963]) ).
fof(f2539,plain,
! [X0,X1] :
( ( c_24__type__14___24t(X0,sK5(X0,X1))
& c_24__type__8___24t(X0,sK6(X0,X1))
& cExtLib_2eCore_2eType_2eBuild__type___24a3(X0,sK5(X0,X1),sK6(X0,X1)) = X1
& cExtLib_2eCore_2eType_2eproper___24a2(X0,X1) = sK6(X0,X1) )
| ~ cExtLib_2eCore_2eType_2etype___24t(X0,X1)
| ~ cType___24t(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6]),skolemize(X2,sK5(X0,X1)),skolemize(X3,sK6(X0,X1))],[f2519]) ).
fof(f2541,plain,
! [X0] :
( ( p(happ(c_24__lam__35284,X0))
| ~ c_24__lam__35284___24a1(X0) )
& ( c_24__lam__35284___24a1(X0)
| ~ p(happ(c_24__lam__35284,X0)) ) ),
inference(nnf_transformation,[],[f1931]) ).
fof(f2546,plain,
! [X0] :
( ( c_24__lam__35284___24a1(X0)
| ~ p(c_24True) )
& ( p(c_24True)
| ~ c_24__lam__35284___24a1(X0) ) ),
inference(nnf_transformation,[],[f420]) ).
fof(f2547,plain,
~ cExtLib_2eCore_2eType_2eproper___24a3(cCoq_2eNumbers_2eBinNums_2eN,cN_2etype__N,cn),
inference(cnf_transformation,[],[f2459]) ).
fof(f2550,plain,
cType___24t(cCoq_2eNumbers_2eBinNums_2eN),
inference(cnf_transformation,[],[f1104]) ).
fof(f2551,plain,
! [X2,X0,X1] :
( ~ p(happ(happ(happ(cExtLib_2eCore_2eType_2eproper,X0),X1),X2))
| cExtLib_2eCore_2eType_2eproper___24a3(X0,X1,X2) ),
inference(cnf_transformation,[],[f2527]) ).
fof(f2568,plain,
cExtLib_2eCore_2eType_2etype___24t(cCoq_2eNumbers_2eBinNums_2eN,cN_2etype__N),
inference(cnf_transformation,[],[f1307]) ).
fof(f2569,plain,
cN_2etype__N = cExtLib_2eCore_2eType_2eBuild__type___24a3(cCoq_2eNumbers_2eBinNums_2eN,c_3d___24a1(cCoq_2eNumbers_2eBinNums_2eN),c_24__lam__35284),
inference(cnf_transformation,[],[f222]) ).
fof(f2591,plain,
! [X0,X1] : cExtLib_2eCore_2eType_2eproper___24a2(X0,X1) = happ(happ(cExtLib_2eCore_2eType_2eproper,X0),X1),
inference(cnf_transformation,[],[f2120]) ).
fof(f2614,plain,
! [X0,X1] :
( cExtLib_2eCore_2eType_2eproper___24a2(X0,X1) = sK6(X0,X1)
| ~ cExtLib_2eCore_2eType_2etype___24t(X0,X1)
| ~ cType___24t(X0) ),
inference(cnf_transformation,[],[f2539]) ).
fof(f2615,plain,
! [X0,X1] :
( cExtLib_2eCore_2eType_2eBuild__type___24a3(X0,sK5(X0,X1),sK6(X0,X1)) = X1
| ~ cExtLib_2eCore_2eType_2etype___24t(X0,X1)
| ~ cType___24t(X0) ),
inference(cnf_transformation,[],[f2539]) ).
fof(f2618,plain,
p(c_24True),
inference(cnf_transformation,[],[f1]) ).
fof(f2619,plain,
! [X2,X0,X1] : happ(happ(happ(cExtLib_2eCore_2eType_2eBuild__type,X0),X1),X2) = cExtLib_2eCore_2eType_2eBuild__type___24a3(X0,X1,X2),
inference(cnf_transformation,[],[f2130]) ).
fof(f2625,plain,
! [X2,X3,X0,X1,X4,X5] :
( X4 = X5
| cExtLib_2eCore_2eType_2eBuild__type___24a3(X0,X2,X4) != cExtLib_2eCore_2eType_2eBuild__type___24a3(X1,X3,X5) ),
inference(cnf_transformation,[],[f2522]) ).
fof(f2627,plain,
! [X0] :
( p(happ(c_24__lam__35284,X0))
| ~ c_24__lam__35284___24a1(X0) ),
inference(cnf_transformation,[],[f2541]) ).
fof(f2638,plain,
! [X0] :
( c_24__lam__35284___24a1(X0)
| ~ p(c_24True) ),
inference(cnf_transformation,[],[f2546]) ).
fof(f2646,plain,
cN_2etype__N = happ(happ(happ(cExtLib_2eCore_2eType_2eBuild__type,cCoq_2eNumbers_2eBinNums_2eN),c_3d___24a1(cCoq_2eNumbers_2eBinNums_2eN)),c_24__lam__35284),
inference(definition_unfolding,[],[f2569,f2619]) ).
fof(f2652,plain,
! [X0,X1] :
( ~ cExtLib_2eCore_2eType_2etype___24t(X0,X1)
| happ(happ(happ(cExtLib_2eCore_2eType_2eBuild__type,X0),sK5(X0,X1)),sK6(X0,X1)) = X1
| ~ cType___24t(X0) ),
inference(definition_unfolding,[],[f2615,f2619]) ).
fof(f2653,plain,
! [X0,X1] :
( ~ cExtLib_2eCore_2eType_2etype___24t(X0,X1)
| happ(happ(cExtLib_2eCore_2eType_2eproper,X0),X1) = sK6(X0,X1)
| ~ cType___24t(X0) ),
inference(definition_unfolding,[],[f2614,f2591]) ).
fof(f2655,plain,
! [X2,X3,X0,X1,X4,X5] :
( happ(happ(happ(cExtLib_2eCore_2eType_2eBuild__type,X0),X2),X4) != happ(happ(happ(cExtLib_2eCore_2eType_2eBuild__type,X1),X3),X5)
| X4 = X5 ),
inference(definition_unfolding,[],[f2625,f2619,f2619]) ).
fof(f2705,definition,
( spl12_2
<=> p(c_24True) ),
introduced(definition,[new_symbols(definition,[spl12_2])],[avatar_definition]) ).
fof(f2710,definition,
( spl12_3
<=> ! [X0] : c_24__lam__35284___24a1(X0) ),
introduced(definition,[new_symbols(definition,[spl12_3])],[avatar_definition]) ).
fof(f2711,plain,
( ! [X0] : c_24__lam__35284___24a1(X0)
| ~ spl12_3 ),
inference(avatar_component_clause,[],[f2710]) ).
fof(f2712,plain,
( ~ spl12_2
| spl12_3 ),
inference(avatar_split_clause,[],[f2638,f2710,f2705]) ).
fof(f2713,plain,
spl12_2,
inference(avatar_split_clause,[],[f2618,f2705]) ).
fof(f2739,plain,
( happ(happ(cExtLib_2eCore_2eType_2eproper,cCoq_2eNumbers_2eBinNums_2eN),cN_2etype__N) = sK6(cCoq_2eNumbers_2eBinNums_2eN,cN_2etype__N)
| ~ cType___24t(cCoq_2eNumbers_2eBinNums_2eN) ),
inference(resolution,[],[f2653,f2568]) ).
fof(f2742,plain,
happ(happ(cExtLib_2eCore_2eType_2eproper,cCoq_2eNumbers_2eBinNums_2eN),cN_2etype__N) = sK6(cCoq_2eNumbers_2eBinNums_2eN,cN_2etype__N),
inference(forward_subsumption_resolution,[],[f2739,f2550]) ).
fof(f2744,plain,
! [X0] :
( ~ p(happ(sK6(cCoq_2eNumbers_2eBinNums_2eN,cN_2etype__N),X0))
| cExtLib_2eCore_2eType_2eproper___24a3(cCoq_2eNumbers_2eBinNums_2eN,cN_2etype__N,X0) ),
inference(superposition,[],[f2551,f2742]) ).
fof(f2856,plain,
( cN_2etype__N = happ(happ(happ(cExtLib_2eCore_2eType_2eBuild__type,cCoq_2eNumbers_2eBinNums_2eN),sK5(cCoq_2eNumbers_2eBinNums_2eN,cN_2etype__N)),sK6(cCoq_2eNumbers_2eBinNums_2eN,cN_2etype__N))
| ~ cType___24t(cCoq_2eNumbers_2eBinNums_2eN) ),
inference(resolution,[],[f2652,f2568]) ).
fof(f2859,plain,
cN_2etype__N = happ(happ(happ(cExtLib_2eCore_2eType_2eBuild__type,cCoq_2eNumbers_2eBinNums_2eN),sK5(cCoq_2eNumbers_2eBinNums_2eN,cN_2etype__N)),sK6(cCoq_2eNumbers_2eBinNums_2eN,cN_2etype__N)),
inference(forward_subsumption_resolution,[],[f2856,f2550]) ).
fof(f2866,plain,
! [X2,X0,X1] :
( cN_2etype__N != happ(happ(happ(cExtLib_2eCore_2eType_2eBuild__type,X0),X1),X2)
| c_24__lam__35284 = X2 ),
inference(superposition,[],[f2655,f2646]) ).
fof(f2941,plain,
( cN_2etype__N != cN_2etype__N
| c_24__lam__35284 = sK6(cCoq_2eNumbers_2eBinNums_2eN,cN_2etype__N) ),
inference(superposition,[],[f2866,f2859]) ).
fof(f2944,plain,
c_24__lam__35284 = sK6(cCoq_2eNumbers_2eBinNums_2eN,cN_2etype__N),
inference(trivial_inequality_removal,[],[f2941]) ).
fof(f2954,plain,
! [X0] :
( ~ p(happ(c_24__lam__35284,X0))
| cExtLib_2eCore_2eType_2eproper___24a3(cCoq_2eNumbers_2eBinNums_2eN,cN_2etype__N,X0) ),
inference(superposition,[],[f2744,f2944]) ).
fof(f3015,plain,
! [X0] :
( cExtLib_2eCore_2eType_2eproper___24a3(cCoq_2eNumbers_2eBinNums_2eN,cN_2etype__N,X0)
| ~ c_24__lam__35284___24a1(X0) ),
inference(resolution,[],[f2954,f2627]) ).
fof(f3017,plain,
( ! [X0] : cExtLib_2eCore_2eType_2eproper___24a3(cCoq_2eNumbers_2eBinNums_2eN,cN_2etype__N,X0)
| ~ spl12_3 ),
inference(forward_subsumption_resolution,[],[f3015,f2711]) ).
fof(f3019,plain,
( $false
| ~ spl12_3 ),
inference(resolution,[],[f3017,f2547]) ).
fof(f3020,plain,
~ spl12_3,
inference(avatar_contradiction_clause,[],[f3019]) ).
cnf(s2,plain,
( ~ spl12_2
| spl12_3 ),
inference(sat_conversion,[],[f2712]) ).
cnf(s3,plain,
spl12_2,
inference(sat_conversion,[],[f2713]) ).
cnf(s11,plain,
~ spl12_3,
inference(sat_conversion,[],[f3020]) ).
cnf(s12,plain,
$false,
inference(rat,[],[s2,s11,s3]) ).
fof(f3021,plain,
$false,
inference(avatar_sat_refutation,[],[s12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV661+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n003.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Mon Sep 28 06:52:12 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.43 Running first-order theorem proving
% 0.13/0.43 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
% 2.64/1.69 % (1391107)Detected formulas, will run a generic FOF schedule.
% 2.64/1.69 % (1391112)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=34997151:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 2.64/1.69 % (1391118)dis-21_1_sil=8000:lcm=predicate:random_seed=902172430:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 2.64/1.69 % (1391115)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2302511549:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 2.64/1.69 % (1391113)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=2089766931:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 2.64/1.69 % (1391114)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=3793910538:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 2.64/1.69 % (1391116)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1229846274:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 2.64/1.69 % (1391117)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=905657195:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 2.64/1.69 % (1391115)Refutation not found, incomplete strategy
% 2.64/1.69 % (1391115)------------------------------
% 2.64/1.69 % (1391115)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.64/1.69 % (1391115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/1.69 % (1391115)CaDiCaL version: 2.1.3
% 2.64/1.69 % (1391115)Termination reason: Refutation not found, incomplete strategy
% 2.64/1.69 % (1391115)Time elapsed: 0.011 s
% 2.64/1.69 % (1391115)Peak memory usage: 90 MB
% 2.64/1.69 % (1391115)Instructions burned: 24 (million)
% 2.64/1.69 % (1391116)Refutation not found, incomplete strategy
% 2.64/1.69 % (1391116)------------------------------
% 2.64/1.69 % (1391116)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.64/1.69 % (1391116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/1.69 % (1391116)CaDiCaL version: 2.1.3
% 2.64/1.69 % (1391116)Termination reason: Refutation not found, incomplete strategy
% 2.64/1.69 % (1391116)Time elapsed: 0.012 s
% 2.64/1.69 % (1391116)Peak memory usage: 91 MB
% 2.64/1.69 % (1391116)Instructions burned: 25 (million)
% 2.64/1.69 % (1391118)Instruction limit reached!
% 2.64/1.69 % (1391118)------------------------------
% 2.64/1.69 % (1391118)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.64/1.69 % (1391118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/1.69 % (1391118)CaDiCaL version: 2.1.3
% 2.64/1.69 % (1391118)Termination reason: Instruction limit
% 2.64/1.69 % (1391118)Termination phase: Property scanning
% 2.64/1.69 % (1391118)Time elapsed: 0.070 s
% 2.64/1.69 % (1391118)Peak memory usage: 93 MB
% 2.64/1.69 % (1391118)Instructions burned: 130 (million)
% 2.64/1.69 % (1391117)Instruction limit reached!
% 2.64/1.69 % (1391117)------------------------------
% 2.64/1.69 % (1391117)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.64/1.69 % (1391117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/1.69 % (1391117)CaDiCaL version: 2.1.3
% 2.64/1.69 % (1391117)Termination reason: Instruction limit
% 2.64/1.69 % (1391117)Termination phase: Preprocessing 3
% 2.64/1.69 % (1391117)Time elapsed: 0.070 s
% 2.64/1.69 % (1391117)Peak memory usage: 92 MB
% 2.64/1.69 % (1391117)Instructions burned: 140 (million)
% 2.64/1.69 % (1391127)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2788877251:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 2.64/1.69 % (1391126)lrs+10_1_sil=8000:sp=occurrence:random_seed=3268704674:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 2.64/1.69 % (1391126)First to succeed.
% 2.64/1.69 % (1391127)Refutation not found, incomplete strategy
% 2.64/1.69 % (1391127)------------------------------
% 2.64/1.69 % (1391127)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.64/1.69 % (1391127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/1.69 % (1391127)CaDiCaL version: 2.1.3
% 2.64/1.69 % (1391127)Termination reason: Refutation not found, incomplete strategy
% 2.64/1.69 % (1391127)Time elapsed: 0.023 s
% 2.64/1.69 % (1391127)Peak memory usage: 92 MB
% 2.64/1.69 % (1391127)Instructions burned: 55 (million)
% 2.64/1.69 % (1391116)------------------------------
% 2.64/1.69 % (1391116)------------------------------
% 2.64/1.69 % (1391115)------------------------------
% 2.64/1.69 % (1391115)------------------------------
% 2.64/1.69 % (1391126)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1391107"
% 2.64/1.69 % (1391130)lrs+1011_1_sil=32000:sp=occurrence:random_seed=548796950:i=325:sd=1:ss=axioms:sgt=32_2994 on theBenchmark for (2994ds/325Mi)
% 2.64/1.69 % (1391131)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=735344793:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 2.64/1.69 % (1391130)Refutation not found, incomplete strategy
% 2.64/1.69 % (1391130)------------------------------
% 2.64/1.69 % (1391130)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.64/1.69 % (1391130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/1.69 % (1391130)CaDiCaL version: 2.1.3
% 2.64/1.69 % (1391130)Termination reason: Refutation not found, incomplete strategy
% 2.64/1.69 % (1391130)Time elapsed: 0.007 s
% 2.64/1.69 % (1391130)Peak memory usage: 91 MB
% 2.64/1.69 % (1391130)Instructions burned: 25 (million)
% 2.64/1.69 % (1391127)------------------------------
% 2.64/1.69 % (1391127)------------------------------
% 2.64/1.69 % (1391126)Refutation found. Thanks to Tanya!
% 2.64/1.69 % SZS status Theorem for theBenchmark
% 2.64/1.69 % SZS output start Proof for theBenchmark
% See solution above
% 5.59/1.88 % (1391126)------------------------------
% 5.59/1.88 % (1391126)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.59/1.88 % (1391126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.88 % (1391126)CaDiCaL version: 2.1.3
% 5.59/1.88 % (1391126)Termination reason: Refutation
% 5.59/1.88 % (1391126)Time elapsed: 0.024 s
% 5.59/1.88 % (1391126)Peak memory usage: 93 MB
% 5.59/1.88 % (1391126)Instructions burned: 41 (million)
% 5.59/1.88 % (1391126)------------------------------
% 5.59/1.88 % (1391126)------------------------------
% 5.59/1.88 % (1391107)Success in time 0.81 s
% 5.59/1.88 % Vampire exiting
%------------------------------------------------------------------------------