%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : COM149+1 : TPTP v9.3.1. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n012.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 09:40:24 AM UTC 2026
% Result : Theorem 0.10s 0.17s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 8
% Syntax : Number of formulae : 47 ( 15 unt; 2 def)
% Number of atoms : 142 ( 74 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 139 ( 44 ~; 45 |; 43 &)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 2 prp; 0-3 aty)
% Number of functors : 21 ( 21 usr; 4 con; 0-3 aty)
% Number of variables : 135 ( 0 sgn 83 !; 52 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1,X2,X3] : vvar(X0) != vabs(X1,X2,X3),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','DIFF-var-abs') ).
fof(f5,axiom,
! [X0,X1,X2] : vvar(X0) != vapp(X1,X2),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','DIFF-var-app') ).
fof(f18,axiom,
! [X0] : vnoType != vsomeType(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','DIFF-noType-someType') ).
fof(f22,axiom,
! [X0,X1,X2,X3] :
( ( X1 = X0
& X2 = vempty )
=> ( X3 = vlookup(X1,X2)
=> X3 = vnoType ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',lookup0) ).
fof(f54,axiom,
! [X0,X1,X2] :
( vtcheck(X2,X0,X1)
=> ( ? [X3] :
( X0 = vvar(X3)
& vlookup(X3,X2) = vsomeType(X1) )
| ? [X3,X4,X5,X6] :
( X0 = vabs(X3,X5,X4)
& X1 = varrow(X5,X6)
& vtcheck(vbind(X3,X5,X2),X4,X6) )
| ? [X7,X4,X8] :
( X0 = vapp(X7,X4)
& vtcheck(X2,X7,varrow(X8,X1))
& vtcheck(X2,X4,X8) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','T-inv') ).
fof(f57,conjecture,
! [X0,X1] :
( ( vtcheck(vempty,vvar(X1),X0)
& ~ visValue(vvar(X1)) )
=> ? [X2] : vreduce(vvar(X1)) = vsomeExp(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Progress-T-var') ).
fof(f58,negated_conjecture,
~ ! [X0,X1] :
( ( vtcheck(vempty,vvar(X1),X0)
& ~ visValue(vvar(X1)) )
=> ? [X2] : vreduce(vvar(X1)) = vsomeExp(X2) ),
inference(negated_conjecture,[status(cth)],[f57]) ).
fof(f65,plain,
! [X0,X1,X2] :
( vtcheck(X2,X0,X1)
=> ( ? [X3] :
( X0 = vvar(X3)
& vlookup(X3,X2) = vsomeType(X1) )
| ? [X4,X5,X6,X7] :
( vabs(X4,X6,X5) = X0
& varrow(X6,X7) = X1
& vtcheck(vbind(X4,X6,X2),X5,X7) )
| ? [X8,X9,X10] :
( vapp(X8,X9) = X0
& vtcheck(X2,X8,varrow(X10,X1))
& vtcheck(X2,X9,X10) ) ) ),
inference(rectify,[],[f54]) ).
fof(f87,plain,
! [X0,X1,X2,X3] :
( X3 = vnoType
| vlookup(X1,X2) != X3
| X0 != X1
| vempty != X2 ),
inference(ennf_transformation,[],[f22]) ).
fof(f88,plain,
! [X0,X1,X2,X3] :
( X3 = vnoType
| vlookup(X1,X2) != X3
| X0 != X1
| vempty != X2 ),
inference(flattening,[],[f87]) ).
fof(f141,plain,
! [X0,X1,X2] :
( ? [X3] :
( X0 = vvar(X3)
& vlookup(X3,X2) = vsomeType(X1) )
| ? [X4,X5,X6,X7] :
( vabs(X4,X6,X5) = X0
& varrow(X6,X7) = X1
& vtcheck(vbind(X4,X6,X2),X5,X7) )
| ? [X8,X9,X10] :
( vapp(X8,X9) = X0
& vtcheck(X2,X8,varrow(X10,X1))
& vtcheck(X2,X9,X10) )
| ~ vtcheck(X2,X0,X1) ),
inference(ennf_transformation,[],[f65]) ).
fof(f142,plain,
! [X0,X1,X2] :
( ? [X3] :
( X0 = vvar(X3)
& vlookup(X3,X2) = vsomeType(X1) )
| ? [X4,X5,X6,X7] :
( vabs(X4,X6,X5) = X0
& varrow(X6,X7) = X1
& vtcheck(vbind(X4,X6,X2),X5,X7) )
| ? [X8,X9,X10] :
( vapp(X8,X9) = X0
& vtcheck(X2,X8,varrow(X10,X1))
& vtcheck(X2,X9,X10) )
| ~ vtcheck(X2,X0,X1) ),
inference(flattening,[],[f141]) ).
fof(f147,plain,
? [X0,X1] :
( ! [X2] : vsomeExp(X2) != vreduce(vvar(X1))
& vtcheck(vempty,vvar(X1),X0)
& ~ visValue(vvar(X1)) ),
inference(ennf_transformation,[],[f58]) ).
fof(f148,plain,
? [X0,X1] :
( ! [X2] : vsomeExp(X2) != vreduce(vvar(X1))
& vtcheck(vempty,vvar(X1),X0)
& ~ visValue(vvar(X1)) ),
inference(flattening,[],[f147]) ).
fof(f164,definition,
! [X0,X1,X2] :
( ? [X8,X9,X10] :
( vapp(X8,X9) = X0
& vtcheck(X2,X8,varrow(X10,X1))
& vtcheck(X2,X9,X10) )
| ~ sP12(X0,X1,X2) ),
introduced(definition,[new_symbols(definition,[sP12])],[predicate_definition_introduction]) ).
fof(f165,plain,
! [X0,X1,X2] :
( ? [X3] :
( X0 = vvar(X3)
& vlookup(X3,X2) = vsomeType(X1) )
| ? [X4,X5,X6,X7] :
( vabs(X4,X6,X5) = X0
& varrow(X6,X7) = X1
& vtcheck(vbind(X4,X6,X2),X5,X7) )
| sP12(X0,X1,X2)
| ~ vtcheck(X2,X0,X1) ),
inference(definition_folding,[],[f142,f164]) ).
fof(f207,plain,
! [X0,X1,X2] :
( ? [X8,X9,X10] :
( vapp(X8,X9) = X0
& vtcheck(X2,X8,varrow(X10,X1))
& vtcheck(X2,X9,X10) )
| ~ sP12(X0,X1,X2) ),
inference(nnf_transformation,[],[f164]) ).
fof(f208,plain,
! [X0,X1,X2] :
( ? [X3,X4,X5] :
( vapp(X3,X4) = X0
& vtcheck(X2,X3,varrow(X5,X1))
& vtcheck(X2,X4,X5) )
| ~ sP12(X0,X1,X2) ),
inference(rectify,[],[f207]) ).
fof(f209,plain,
! [X0,X1,X2] :
( ( vapp(sK79(X0,X1,X2),sK80(X0,X1,X2)) = X0
& vtcheck(X2,sK79(X0,X1,X2),varrow(sK81(X0,X1,X2),X1))
& vtcheck(X2,sK80(X0,X1,X2),sK81(X0,X1,X2)) )
| ~ sP12(X0,X1,X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK79,sK80,sK81]),skolemize(X3,sK79(X0,X1,X2)),skolemize(X4,sK80(X0,X1,X2)),skolemize(X5,sK81(X0,X1,X2))],[f208]) ).
fof(f210,plain,
! [X0,X1,X2] :
( ( vvar(sK82(X0,X1,X2)) = X0
& vsomeType(X1) = vlookup(sK82(X0,X1,X2),X2) )
| ( vabs(sK83(X0,X1,X2),sK85(X0,X1,X2),sK84(X0,X1,X2)) = X0
& varrow(sK85(X0,X1,X2),sK86(X0,X1,X2)) = X1
& vtcheck(vbind(sK83(X0,X1,X2),sK85(X0,X1,X2),X2),sK84(X0,X1,X2),sK86(X0,X1,X2)) )
| sP12(X0,X1,X2)
| ~ vtcheck(X2,X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK82,sK83,sK84,sK85,sK86]),skolemize(X3,sK82(X0,X1,X2)),skolemize(X4,sK83(X0,X1,X2)),skolemize(X5,sK84(X0,X1,X2)),skolemize(X6,sK85(X0,X1,X2)),skolemize(X7,sK86(X0,X1,X2))],[f165]) ).
fof(f211,plain,
( ! [X2] : vsomeExp(X2) != vreduce(vvar(sK88))
& vtcheck(vempty,vvar(sK88),sK87)
& ~ visValue(vvar(sK88)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK87,sK88]),skolemize(X0,sK87),skolemize(X1,sK88)],[f148]) ).
fof(f221,plain,
! [X2,X3,X0,X1] : vvar(X0) != vabs(X1,X2,X3),
inference(cnf_transformation,[],[f4]) ).
fof(f222,plain,
! [X2,X0,X1] : vvar(X0) != vapp(X1,X2),
inference(cnf_transformation,[],[f5]) ).
fof(f244,plain,
! [X0] : vnoType != vsomeType(X0),
inference(cnf_transformation,[],[f18]) ).
fof(f248,plain,
! [X2,X3,X0,X1] :
( vlookup(X1,X2) != X3
| vnoType = X3
| X0 != X1
| vempty != X2 ),
inference(cnf_transformation,[],[f88]) ).
fof(f353,plain,
! [X2,X0,X1] :
( ~ sP12(X0,X1,X2)
| vapp(sK79(X0,X1,X2),sK80(X0,X1,X2)) = X0 ),
inference(cnf_transformation,[],[f209]) ).
fof(f356,plain,
! [X2,X0,X1] :
( ~ vtcheck(X2,X0,X1)
| vabs(sK83(X0,X1,X2),sK85(X0,X1,X2),sK84(X0,X1,X2)) = X0
| sP12(X0,X1,X2)
| vsomeType(X1) = vlookup(sK82(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f210]) ).
fof(f363,plain,
vtcheck(vempty,vvar(sK88),sK87),
inference(cnf_transformation,[],[f211]) ).
fof(f476,plain,
! [X2,X0,X1] :
( X0 != X2
| vnoType = vlookup(X0,X1)
| vempty != X1 ),
inference(equality_resolution,[],[f248]) ).
fof(f481,plain,
! [X0,X1] :
( vempty != X1
| vnoType = vlookup(X0,X1) ),
inference(equality_resolution,[],[f476]) ).
fof(f482,plain,
! [X0] : vnoType = vlookup(X0,vempty),
inference(equality_resolution,[],[f481]) ).
fof(f485,plain,
! [X0,X1] : vsomeType(X1) != vlookup(X0,vempty),
inference(superposition,[],[f244,f482]) ).
fof(f762,definition,
( spl89_7
<=> sP12(vvar(sK88),sK87,vempty) ),
introduced(definition,[new_symbols(definition,[spl89_7])],[avatar_definition]) ).
fof(f763,plain,
( ~ sP12(vvar(sK88),sK87,vempty)
| spl89_7 ),
inference(avatar_component_clause,[],[f762]) ).
fof(f764,plain,
( sP12(vvar(sK88),sK87,vempty)
| ~ spl89_7 ),
inference(avatar_component_clause,[],[f762]) ).
fof(f853,plain,
( vvar(sK88) = vapp(sK79(vvar(sK88),sK87,vempty),sK80(vvar(sK88),sK87,vempty))
| ~ spl89_7 ),
inference(resolution,[],[f764,f353]) ).
fof(f855,plain,
( $false
| ~ spl89_7 ),
inference(forward_subsumption_resolution,[],[f853,f222]) ).
fof(f856,plain,
~ spl89_7,
inference(avatar_contradiction_clause,[],[f855]) ).
fof(f909,plain,
( vvar(sK88) = vabs(sK83(vvar(sK88),sK87,vempty),sK85(vvar(sK88),sK87,vempty),sK84(vvar(sK88),sK87,vempty))
| sP12(vvar(sK88),sK87,vempty)
| vsomeType(sK87) = vlookup(sK82(vvar(sK88),sK87,vempty),vempty) ),
inference(resolution,[],[f356,f363]) ).
fof(f929,plain,
( sP12(vvar(sK88),sK87,vempty)
| vsomeType(sK87) = vlookup(sK82(vvar(sK88),sK87,vempty),vempty) ),
inference(forward_subsumption_resolution,[],[f909,f221]) ).
fof(f930,plain,
( vsomeType(sK87) = vlookup(sK82(vvar(sK88),sK87,vempty),vempty)
| spl89_7 ),
inference(forward_subsumption_resolution,[],[f929,f763]) ).
fof(f931,plain,
( $false
| spl89_7 ),
inference(forward_subsumption_resolution,[],[f930,f485]) ).
fof(f932,plain,
spl89_7,
inference(avatar_contradiction_clause,[],[f931]) ).
cnf(s10,plain,
~ spl89_7,
inference(sat_conversion,[],[f856]) ).
cnf(s11,plain,
spl89_7,
inference(sat_conversion,[],[f932]) ).
cnf(s12,plain,
$false,
inference(rat,[],[s10,s11]) ).
fof(f933,plain,
$false,
inference(avatar_sat_refutation,[],[s12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : COM149+1 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.00/0.11 % Computer : n012.cluster.edu
% 0.00/0.11 % Model : x86_64 x86_64
% 0.00/0.11 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11 % Memory : 8046.5625MB
% 0.00/0.11 % OS : Linux 6.8.0-71-generic
% 0.00/0.11 % CPULimit : 300
% 0.00/0.11 % WCLimit : 300
% 0.00/0.11 % DateTime : Mon Sep 28 21:55:49 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.12 Running first-order model finding
% 0.10/0.12 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.17 % (3826202)Will run a generic schedule for satisfiability detection.
% 0.10/0.17 % (3826208)% WARNING: option uhcvi not known.
% 0.10/0.17 % (3826211)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3795083652:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.17 % (3826208)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4186906724:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.10/0.17 % (3826213)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4250469463:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.17 % (3826207)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2552069766_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.17 % (3826212)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1467708616:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.17 % (3826209)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=469710319:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.17 % (3826210)dis+10_1_sil=32000:sp=arity:random_seed=853285224:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.17 % TRYING [1]
% 0.10/0.17 % TRYING [2]
% 0.10/0.17 % (3826212) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3826202-3826212"...
% 0.10/0.17 % (3826212)...printing done.
% 0.10/0.17 % (3826210) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3826202-3826210"...
% 0.10/0.17 % (3826212)Refutation found. Thanks to Tanya!
% 0.10/0.17 % SZS status Theorem for theBenchmark
% 0.10/0.17 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.17 % (3826212)------------------------------
% 0.10/0.17 % (3826212)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.17 % (3826212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.17 % (3826212)CaDiCaL version: 2.1.3
% 0.10/0.17 % (3826212)Termination reason: Refutation
% 0.10/0.17 % (3826212)Time elapsed: 0.015 s
% 0.10/0.17 % (3826212)Peak memory usage: 13 MB
% 0.10/0.17 % (3826212)Instructions burned: 43 (million)
% 0.10/0.17 % (3826202)Success in time 0.038 s
% 0.10/0.17 % Vampire exiting
%------------------------------------------------------------------------------