%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV646+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 : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:58:29 PM UTC 2026
% Result : Theorem 3.75s 1.34s
% Output : Refutation 3.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 27 ( 12 unt; 0 def)
% Number of atoms : 65 ( 2 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 70 ( 32 ~; 20 |; 7 &)
% ( 1 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-3 aty)
% Number of variables : 28 ( 25 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f270,axiom,
! [X0] :
( cIntMap_2eFset_2eFSet___24t(X0)
<=> cIntMap_2eMap_2eMap___24t(cCoq_2eInit_2eDatatypes_2eunit,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_def_IntMap.Fset.FSet') ).
fof(f274,axiom,
! [X0,X1] : cIntMap_2eFset_2eFSetUnion___24a2(X0,X1) = cIntMap_2eMap_2eMapMerge___24a3(cCoq_2eInit_2eDatatypes_2eunit,X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_def_IntMap.Fset.FSetUnion') ).
fof(f1361,axiom,
cType___24t(cCoq_2eInit_2eDatatypes_2eunit),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_typeof_Coq.Init.Datatypes.unit') ).
fof(f1967,axiom,
! [X0] :
( cType___24t(X0)
=> ! [X1] :
( cIntMap_2eMap_2eMap___24t(X0,X1)
=> ! [X2] :
( cIntMap_2eMap_2eMap___24t(X0,X2)
=> ! [X3] :
( cIntMap_2eMap_2eMap___24t(X0,X3)
=> cMapaxioms_2eeqmap___24a3(X0,cIntMap_2eMap_2eMapMerge___24a3(X0,cIntMap_2eMap_2eMapMerge___24a3(X0,X1,X2),X3),cIntMap_2eMap_2eMapMerge___24a3(X0,X1,cIntMap_2eMap_2eMapMerge___24a3(X0,X2,X3))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Mapaxioms.MapMerge_assoc') ).
fof(f3068,conjecture,
! [X0] :
( cIntMap_2eFset_2eFSet___24t(X0)
=> ! [X1] :
( cIntMap_2eFset_2eFSet___24t(X1)
=> ! [X2] :
( cIntMap_2eFset_2eFSet___24t(X2)
=> cMapaxioms_2eeqmap___24a3(cCoq_2eInit_2eDatatypes_2eunit,cIntMap_2eFset_2eFSetUnion___24a2(cIntMap_2eFset_2eFSetUnion___24a2(X0,X1),X2),cIntMap_2eFset_2eFSetUnion___24a2(X0,cIntMap_2eFset_2eFSetUnion___24a2(X1,X2))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','_HAMMER_GOAL') ).
fof(f3069,negated_conjecture,
~ ! [X0] :
( cIntMap_2eFset_2eFSet___24t(X0)
=> ! [X1] :
( cIntMap_2eFset_2eFSet___24t(X1)
=> ! [X2] :
( cIntMap_2eFset_2eFSet___24t(X2)
=> cMapaxioms_2eeqmap___24a3(cCoq_2eInit_2eDatatypes_2eunit,cIntMap_2eFset_2eFSetUnion___24a2(cIntMap_2eFset_2eFSetUnion___24a2(X0,X1),X2),cIntMap_2eFset_2eFSetUnion___24a2(X0,cIntMap_2eFset_2eFSetUnion___24a2(X1,X2))) ) ) ),
inference(negated_conjecture,[status(cth)],[f3068]) ).
fof(f3070,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ cMapaxioms_2eeqmap___24a3(cCoq_2eInit_2eDatatypes_2eunit,cIntMap_2eFset_2eFSetUnion___24a2(cIntMap_2eFset_2eFSetUnion___24a2(X0,X1),X2),cIntMap_2eFset_2eFSetUnion___24a2(X0,cIntMap_2eFset_2eFSetUnion___24a2(X1,X2)))
& cIntMap_2eFset_2eFSet___24t(X2) )
& cIntMap_2eFset_2eFSet___24t(X1) )
& cIntMap_2eFset_2eFSet___24t(X0) ),
inference(ennf_transformation,[],[f3069]) ).
fof(f3098,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( cMapaxioms_2eeqmap___24a3(X0,cIntMap_2eMap_2eMapMerge___24a3(X0,cIntMap_2eMap_2eMapMerge___24a3(X0,X1,X2),X3),cIntMap_2eMap_2eMapMerge___24a3(X0,X1,cIntMap_2eMap_2eMapMerge___24a3(X0,X2,X3)))
| ~ cIntMap_2eMap_2eMap___24t(X0,X3) )
| ~ cIntMap_2eMap_2eMap___24t(X0,X2) )
| ~ cIntMap_2eMap_2eMap___24t(X0,X1) )
| ~ cType___24t(X0) ),
inference(ennf_transformation,[],[f1967]) ).
fof(f3158,plain,
( ~ cMapaxioms_2eeqmap___24a3(cCoq_2eInit_2eDatatypes_2eunit,cIntMap_2eFset_2eFSetUnion___24a2(cIntMap_2eFset_2eFSetUnion___24a2(sK2,sK3),sK4),cIntMap_2eFset_2eFSetUnion___24a2(sK2,cIntMap_2eFset_2eFSetUnion___24a2(sK3,sK4)))
& cIntMap_2eFset_2eFSet___24t(sK4)
& cIntMap_2eFset_2eFSet___24t(sK3)
& cIntMap_2eFset_2eFSet___24t(sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X2,sK4)],[f3070]) ).
fof(f3159,plain,
! [X0] :
( ( cIntMap_2eFset_2eFSet___24t(X0)
| ~ cIntMap_2eMap_2eMap___24t(cCoq_2eInit_2eDatatypes_2eunit,X0) )
& ( cIntMap_2eMap_2eMap___24t(cCoq_2eInit_2eDatatypes_2eunit,X0)
| ~ cIntMap_2eFset_2eFSet___24t(X0) ) ),
inference(nnf_transformation,[],[f270]) ).
fof(f3171,plain,
cIntMap_2eFset_2eFSet___24t(sK2),
inference(cnf_transformation,[],[f3158]) ).
fof(f3172,plain,
cIntMap_2eFset_2eFSet___24t(sK3),
inference(cnf_transformation,[],[f3158]) ).
fof(f3173,plain,
cIntMap_2eFset_2eFSet___24t(sK4),
inference(cnf_transformation,[],[f3158]) ).
fof(f3174,plain,
~ cMapaxioms_2eeqmap___24a3(cCoq_2eInit_2eDatatypes_2eunit,cIntMap_2eFset_2eFSetUnion___24a2(cIntMap_2eFset_2eFSetUnion___24a2(sK2,sK3),sK4),cIntMap_2eFset_2eFSetUnion___24a2(sK2,cIntMap_2eFset_2eFSetUnion___24a2(sK3,sK4))),
inference(cnf_transformation,[],[f3158]) ).
fof(f3175,plain,
! [X0] :
( cIntMap_2eMap_2eMap___24t(cCoq_2eInit_2eDatatypes_2eunit,X0)
| ~ cIntMap_2eFset_2eFSet___24t(X0) ),
inference(cnf_transformation,[],[f3159]) ).
fof(f3180,plain,
cType___24t(cCoq_2eInit_2eDatatypes_2eunit),
inference(cnf_transformation,[],[f1361]) ).
fof(f3183,plain,
! [X0,X1] : cIntMap_2eFset_2eFSetUnion___24a2(X0,X1) = cIntMap_2eMap_2eMapMerge___24a3(cCoq_2eInit_2eDatatypes_2eunit,X0,X1),
inference(cnf_transformation,[],[f274]) ).
fof(f3202,plain,
! [X2,X3,X0,X1] :
( cMapaxioms_2eeqmap___24a3(X0,cIntMap_2eMap_2eMapMerge___24a3(X0,cIntMap_2eMap_2eMapMerge___24a3(X0,X1,X2),X3),cIntMap_2eMap_2eMapMerge___24a3(X0,X1,cIntMap_2eMap_2eMapMerge___24a3(X0,X2,X3)))
| ~ cIntMap_2eMap_2eMap___24t(X0,X3)
| ~ cIntMap_2eMap_2eMap___24t(X0,X2)
| ~ cIntMap_2eMap_2eMap___24t(X0,X1)
| ~ cType___24t(X0) ),
inference(cnf_transformation,[],[f3098]) ).
fof(f3276,plain,
~ cMapaxioms_2eeqmap___24a3(cCoq_2eInit_2eDatatypes_2eunit,cIntMap_2eMap_2eMapMerge___24a3(cCoq_2eInit_2eDatatypes_2eunit,cIntMap_2eMap_2eMapMerge___24a3(cCoq_2eInit_2eDatatypes_2eunit,sK2,sK3),sK4),cIntMap_2eMap_2eMapMerge___24a3(cCoq_2eInit_2eDatatypes_2eunit,sK2,cIntMap_2eMap_2eMapMerge___24a3(cCoq_2eInit_2eDatatypes_2eunit,sK3,sK4))),
inference(definition_unfolding,[],[f3174,f3183,f3183,f3183,f3183]) ).
fof(f3859,plain,
( ~ cIntMap_2eMap_2eMap___24t(cCoq_2eInit_2eDatatypes_2eunit,sK4)
| ~ cIntMap_2eMap_2eMap___24t(cCoq_2eInit_2eDatatypes_2eunit,sK3)
| ~ cIntMap_2eMap_2eMap___24t(cCoq_2eInit_2eDatatypes_2eunit,sK2)
| ~ cType___24t(cCoq_2eInit_2eDatatypes_2eunit) ),
inference(resolution,[],[f3202,f3276]) ).
fof(f3869,plain,
( ~ cIntMap_2eMap_2eMap___24t(cCoq_2eInit_2eDatatypes_2eunit,sK4)
| ~ cIntMap_2eMap_2eMap___24t(cCoq_2eInit_2eDatatypes_2eunit,sK3)
| ~ cIntMap_2eMap_2eMap___24t(cCoq_2eInit_2eDatatypes_2eunit,sK2) ),
inference(forward_subsumption_resolution,[],[f3859,f3180]) ).
fof(f3870,plain,
( ~ cIntMap_2eMap_2eMap___24t(cCoq_2eInit_2eDatatypes_2eunit,sK3)
| ~ cIntMap_2eMap_2eMap___24t(cCoq_2eInit_2eDatatypes_2eunit,sK2)
| ~ cIntMap_2eFset_2eFSet___24t(sK4) ),
inference(resolution,[],[f3869,f3175]) ).
fof(f3871,plain,
( ~ cIntMap_2eMap_2eMap___24t(cCoq_2eInit_2eDatatypes_2eunit,sK3)
| ~ cIntMap_2eMap_2eMap___24t(cCoq_2eInit_2eDatatypes_2eunit,sK2) ),
inference(forward_subsumption_resolution,[],[f3870,f3173]) ).
fof(f3872,plain,
( ~ cIntMap_2eMap_2eMap___24t(cCoq_2eInit_2eDatatypes_2eunit,sK2)
| ~ cIntMap_2eFset_2eFSet___24t(sK3) ),
inference(resolution,[],[f3871,f3175]) ).
fof(f3873,plain,
~ cIntMap_2eMap_2eMap___24t(cCoq_2eInit_2eDatatypes_2eunit,sK2),
inference(forward_subsumption_resolution,[],[f3872,f3172]) ).
fof(f3874,plain,
~ cIntMap_2eFset_2eFSet___24t(sK2),
inference(resolution,[],[f3873,f3175]) ).
fof(f3875,plain,
$false,
inference(forward_subsumption_resolution,[],[f3874,f3171]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV646+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n015.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 28 06:50:46 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 3.75/1.34 % (2434710)Detected formulas, will run a generic FOF schedule.
% 3.75/1.34 % (2434718)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3968555007:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.75/1.34 % (2434719)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=809343017:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.75/1.34 % (2434717)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=1926807904:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.75/1.34 % (2434721)dis-21_1_sil=8000:lcm=predicate:random_seed=2876007029: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)
% 3.75/1.34 % (2434715)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=3183749923:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.75/1.34 % (2434716)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=662998398:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.75/1.34 % (2434720)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=131935565:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.75/1.34 % (2434718)Refutation not found, incomplete strategy
% 3.75/1.34 % (2434718)------------------------------
% 3.75/1.34 % (2434718)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.75/1.34 % (2434718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/1.34 % (2434718)CaDiCaL version: 2.1.3
% 3.75/1.34 % (2434718)Termination reason: Refutation not found, incomplete strategy
% 3.75/1.34 % (2434718)Time elapsed: 0.015 s
% 3.75/1.34 % (2434718)Peak memory usage: 92 MB
% 3.75/1.34 % (2434718)Instructions burned: 32 (million)
% 3.75/1.34 % (2434719)First to succeed.
% 3.75/1.34 % (2434719)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2434710"
% 3.75/1.34 % (2434721)Instruction limit reached!
% 3.75/1.34 % (2434721)------------------------------
% 3.75/1.34 % (2434721)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.75/1.34 % (2434721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/1.34 % (2434721)CaDiCaL version: 2.1.3
% 3.75/1.34 % (2434721)Termination reason: Instruction limit
% 3.75/1.34 % (2434721)Termination phase: Preprocessing 3
% 3.75/1.34 % (2434721)Time elapsed: 0.072 s
% 3.75/1.34 % (2434721)Peak memory usage: 94 MB
% 3.75/1.34 % (2434721)Instructions burned: 130 (million)
% 3.75/1.34 % (2434720)Instruction limit reached!
% 3.75/1.34 % (2434720)------------------------------
% 3.75/1.34 % (2434720)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.75/1.34 % (2434720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/1.34 % (2434720)CaDiCaL version: 2.1.3
% 3.75/1.34 % (2434720)Termination reason: Instruction limit
% 3.75/1.34 % (2434720)Termination phase: Preprocessing 3
% 3.75/1.34 % (2434720)Time elapsed: 0.091 s
% 3.75/1.34 % (2434720)Peak memory usage: 92 MB
% 3.75/1.34 % (2434720)Instructions burned: 140 (million)
% 3.75/1.34 % (2434729)lrs+10_1_sil=8000:sp=occurrence:random_seed=2796152114:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.75/1.34 % (2434730)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4190050043:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 3.75/1.34 % (2434718)------------------------------
% 3.75/1.34 % (2434718)------------------------------
% 3.75/1.34 % (2434730)Refutation not found, incomplete strategy
% 3.75/1.34 % (2434730)------------------------------
% 3.75/1.34 % (2434730)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.75/1.34 % (2434730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/1.34 % (2434730)CaDiCaL version: 2.1.3
% 3.75/1.34 % (2434730)Termination reason: Refutation not found, incomplete strategy
% 3.75/1.34 % (2434730)Time elapsed: 0.016 s
% 3.75/1.34 % (2434730)Peak memory usage: 93 MB
% 3.75/1.34 % (2434730)Instructions burned: 69 (million)
% 3.75/1.34 % (2434729)Also succeeded, but the first one will report.
% 3.75/1.34 % (2434719)Refutation found. Thanks to Tanya!
% 3.75/1.34 % SZS status Theorem for theBenchmark
% 3.75/1.34 % SZS output start Proof for theBenchmark
% See solution above
% 3.75/1.34 % (2434719)------------------------------
% 3.75/1.34 % (2434719)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.75/1.34 % (2434719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/1.34 % (2434719)CaDiCaL version: 2.1.3
% 3.75/1.34 % (2434719)Termination reason: Refutation
% 3.75/1.34 % (2434719)Time elapsed: 0.037 s
% 3.75/1.34 % (2434719)Peak memory usage: 93 MB
% 3.75/1.34 % (2434719)Instructions burned: 68 (million)
% 3.75/1.34 % (2434719)------------------------------
% 3.75/1.34 % (2434719)------------------------------
% 3.75/1.34 % (2434710)Success in time 0.523 s
% 3.75/1.34 % Vampire exiting
%------------------------------------------------------------------------------