%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR068+3 : TPTP v9.3.1. Released v3.4.0.
% 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 09:42:34 AM UTC 2026
% Result : Theorem 2.40s 0.88s
% Output : Refutation 2.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 37 ( 13 unt; 3 def)
% Number of atoms : 71 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 62 ( 28 ~; 24 |; 3 &)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 4 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 14 ( 0 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2460,axiom,
! [X0] :
( ( mtvisible(c_tptp_spindleheadmt)
& furpelt(X0) )
=> tptpofobject(X0,f_tptpquantityfn_1(n_328)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2_2460) ).
fof(f2844,axiom,
furpelt(c_theprototypicalfurpelt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2_2844) ).
fof(f4137,axiom,
genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2_4137) ).
fof(f7997,axiom,
! [X0,X1] :
( ( mtvisible(X0)
& genlmt(X0,X1) )
=> mtvisible(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2_7997) ).
fof(f8006,conjecture,
( mtvisible(c_tptp_member2356_mt)
=> tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query168) ).
fof(f8007,negated_conjecture,
~ ( mtvisible(c_tptp_member2356_mt)
=> tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) ),
inference(negated_conjecture,[status(cth)],[f8006]) ).
fof(f8158,plain,
( ~ tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328))
& mtvisible(c_tptp_member2356_mt) ),
inference(ennf_transformation,[],[f8007]) ).
fof(f8159,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(ennf_transformation,[],[f7997]) ).
fof(f8160,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(flattening,[],[f8159]) ).
fof(f8163,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_1(n_328))
| ~ mtvisible(c_tptp_spindleheadmt)
| ~ furpelt(X0) ),
inference(ennf_transformation,[],[f2460]) ).
fof(f8164,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_1(n_328))
| ~ mtvisible(c_tptp_spindleheadmt)
| ~ furpelt(X0) ),
inference(flattening,[],[f8163]) ).
fof(f8256,plain,
mtvisible(c_tptp_member2356_mt),
inference(cnf_transformation,[],[f8158]) ).
fof(f8257,plain,
~ tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)),
inference(cnf_transformation,[],[f8158]) ).
fof(f8258,plain,
! [X0,X1] :
( ~ genlmt(X0,X1)
| ~ mtvisible(X0)
| mtvisible(X1) ),
inference(cnf_transformation,[],[f8160]) ).
fof(f8261,plain,
furpelt(c_theprototypicalfurpelt),
inference(cnf_transformation,[],[f2844]) ).
fof(f8264,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_1(n_328))
| ~ mtvisible(c_tptp_spindleheadmt)
| ~ furpelt(X0) ),
inference(cnf_transformation,[],[f8164]) ).
fof(f8267,plain,
genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt),
inference(cnf_transformation,[],[f4137]) ).
fof(f8404,definition,
( spl0_7
<=> mtvisible(c_tptp_spindleheadmt) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f8536,definition,
( spl0_42
<=> ! [X0] :
( tptpofobject(X0,f_tptpquantityfn_1(n_328))
| ~ furpelt(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).
fof(f8537,plain,
( ! [X0] :
( ~ furpelt(X0)
| tptpofobject(X0,f_tptpquantityfn_1(n_328)) )
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f8536]) ).
fof(f8543,plain,
( ~ spl0_7
| spl0_42 ),
inference(avatar_split_clause,[],[f8264,f8536,f8404]) ).
fof(f8609,plain,
( ~ mtvisible(c_tptp_member2356_mt)
| mtvisible(c_tptp_spindleheadmt) ),
inference(resolution,[],[f8258,f8267]) ).
fof(f8613,definition,
( spl0_44
<=> mtvisible(c_tptp_member2356_mt) ),
introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).
fof(f8614,plain,
( ~ mtvisible(c_tptp_member2356_mt)
| spl0_44 ),
inference(avatar_component_clause,[],[f8613]) ).
fof(f8615,plain,
( spl0_7
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f8609,f8613,f8404]) ).
fof(f8635,plain,
( $false
| spl0_44 ),
inference(resolution,[],[f8614,f8256]) ).
fof(f8636,plain,
spl0_44,
inference(avatar_contradiction_clause,[],[f8635]) ).
fof(f8651,plain,
( tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328))
| ~ spl0_42 ),
inference(resolution,[],[f8537,f8261]) ).
fof(f8653,plain,
( $false
| ~ spl0_42 ),
inference(resolution,[],[f8651,f8257]) ).
fof(f8654,plain,
~ spl0_42,
inference(avatar_contradiction_clause,[],[f8653]) ).
cnf(s34,plain,
( ~ spl0_7
| spl0_42 ),
inference(sat_conversion,[],[f8543]) ).
cnf(s36,plain,
( spl0_7
| ~ spl0_44 ),
inference(sat_conversion,[],[f8615]) ).
cnf(s40,plain,
spl0_44,
inference(sat_conversion,[],[f8636]) ).
cnf(s45,plain,
~ spl0_42,
inference(sat_conversion,[],[f8654]) ).
cnf(s46,plain,
spl0_7,
inference(rat,[],[s36,s40]) ).
cnf(s52,plain,
$false,
inference(rat,[],[s34,s45,s46]) ).
fof(f8655,plain,
$false,
inference(avatar_sat_refutation,[],[s52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR068+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.17 % Computer : n003.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 22:25:12 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running first-order theorem proving
% 0.07/0.21 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
% 2.40/0.88 % (2102947)Detected formulas, will run a generic FOF schedule.
% 2.40/0.88 % (2102958)dis-21_1_sil=8000:lcm=predicate:random_seed=968444098: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)
% 2.40/0.88 % (2102958)First to succeed.
% 2.40/0.88 % (2102958)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2102947"
% 2.40/0.88 % (2102952)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=2062123796:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.40/0.88 % (2102954)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=3351959266:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.40/0.88 % (2102957)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3819485526:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.40/0.88 % (2102953)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=1477417472:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.40/0.88 % (2102955)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3416071238:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.40/0.88 % (2102955)Refutation not found, incomplete strategy
% 2.40/0.88 % (2102955)------------------------------
% 2.40/0.88 % (2102955)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.40/0.88 % (2102955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.40/0.88 % (2102955)CaDiCaL version: 2.1.3
% 2.40/0.88 % (2102955)Termination reason: Refutation not found, incomplete strategy
% 2.40/0.88 % (2102955)Time elapsed: 0.017 s
% 2.40/0.88 % (2102955)Peak memory usage: 94 MB
% 2.40/0.88 % (2102955)Instructions burned: 24 (million)
% 2.40/0.88 % (2102956)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=619247376:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.40/0.88 % (2102956)Also succeeded, but the first one will report.
% 2.40/0.88 % (2102957)Instruction limit reached!
% 2.40/0.88 % (2102957)------------------------------
% 2.40/0.88 % (2102957)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.40/0.88 % (2102957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.40/0.88 % (2102957)CaDiCaL version: 2.1.3
% 2.40/0.88 % (2102957)Termination reason: Instruction limit
% 2.40/0.88 % (2102957)Termination phase: Property scanning
% 2.40/0.88 % (2102957)Time elapsed: 0.076 s
% 2.40/0.88 % (2102957)Peak memory usage: 92 MB
% 2.40/0.88 % (2102957)Instructions burned: 140 (million)
% 2.40/0.88 % (2102958)Refutation found. Thanks to Tanya!
% 2.40/0.88 % SZS status Theorem for theBenchmark
% 2.40/0.88 % SZS output start Proof for theBenchmark
% See solution above
% 2.40/0.88 % (2102958)------------------------------
% 2.40/0.88 % (2102958)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.40/0.88 % (2102958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.40/0.88 % (2102958)CaDiCaL version: 2.1.3
% 2.40/0.88 % (2102958)Termination reason: Refutation
% 2.40/0.88 % (2102958)Time elapsed: 0.015 s
% 2.40/0.88 % (2102958)Peak memory usage: 95 MB
% 2.40/0.88 % (2102958)Instructions burned: 38 (million)
% 2.40/0.88 % (2102958)------------------------------
% 2.40/0.88 % (2102958)------------------------------
% 2.40/0.88 % (2102947)Success in time 0.364 s
% 2.40/0.88 % Vampire exiting
%------------------------------------------------------------------------------