%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR068+4 : 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 : n013.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 6.45s 2.48s
% Output : Refutation 6.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 34 ( 13 unt; 2 def)
% Number of atoms : 65 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 58 ( 27 ~; 22 |; 3 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 3 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(f6393,axiom,
! [X0] :
( ( mtvisible(c_tptp_spindleheadmt)
& furpelt(X0) )
=> tptpofobject(X0,f_tptpquantityfn_1(n_328)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_6393) ).
fof(f9650,axiom,
genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_9650) ).
fof(f10453,axiom,
furpelt(c_theprototypicalfurpelt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_10453) ).
fof(f44208,axiom,
! [X0,X1] :
( ( mtvisible(X0)
& genlmt(X0,X1) )
=> mtvisible(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_44208) ).
fof(f44217,conjecture,
( mtvisible(c_tptp_member2356_mt)
=> tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query218) ).
fof(f44218,negated_conjecture,
~ ( mtvisible(c_tptp_member2356_mt)
=> tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) ),
inference(negated_conjecture,[status(cth)],[f44217]) ).
fof(f44243,plain,
( ~ tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328))
& mtvisible(c_tptp_member2356_mt) ),
inference(ennf_transformation,[],[f44218]) ).
fof(f44244,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(ennf_transformation,[],[f44208]) ).
fof(f44245,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(flattening,[],[f44244]) ).
fof(f44247,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_1(n_328))
| ~ mtvisible(c_tptp_spindleheadmt)
| ~ furpelt(X0) ),
inference(ennf_transformation,[],[f6393]) ).
fof(f44248,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_1(n_328))
| ~ mtvisible(c_tptp_spindleheadmt)
| ~ furpelt(X0) ),
inference(flattening,[],[f44247]) ).
fof(f44268,plain,
mtvisible(c_tptp_member2356_mt),
inference(cnf_transformation,[],[f44243]) ).
fof(f44269,plain,
~ tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)),
inference(cnf_transformation,[],[f44243]) ).
fof(f44270,plain,
! [X0,X1] :
( ~ genlmt(X0,X1)
| ~ mtvisible(X0)
| mtvisible(X1) ),
inference(cnf_transformation,[],[f44245]) ).
fof(f44273,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_1(n_328))
| ~ mtvisible(c_tptp_spindleheadmt)
| ~ furpelt(X0) ),
inference(cnf_transformation,[],[f44248]) ).
fof(f44278,plain,
genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt),
inference(cnf_transformation,[],[f9650]) ).
fof(f44280,plain,
furpelt(c_theprototypicalfurpelt),
inference(cnf_transformation,[],[f10453]) ).
fof(f44304,definition,
( spl0_1
<=> mtvisible(c_tptp_spindleheadmt) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f44306,plain,
( ~ mtvisible(c_tptp_spindleheadmt)
| spl0_1 ),
inference(avatar_component_clause,[],[f44304]) ).
fof(f44308,definition,
( spl0_2
<=> ! [X0] :
( tptpofobject(X0,f_tptpquantityfn_1(n_328))
| ~ furpelt(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f44309,plain,
( ! [X0] :
( tptpofobject(X0,f_tptpquantityfn_1(n_328))
| ~ furpelt(X0) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f44308]) ).
fof(f44316,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f44273,f44308,f44304]) ).
fof(f44337,plain,
( ~ mtvisible(c_tptp_member2356_mt)
| mtvisible(c_tptp_spindleheadmt) ),
inference(resolution,[],[f44270,f44278]) ).
fof(f44339,plain,
mtvisible(c_tptp_spindleheadmt),
inference(forward_subsumption_resolution,[],[f44337,f44268]) ).
fof(f44340,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f44339,f44306]) ).
fof(f44341,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f44340]) ).
fof(f44343,plain,
( ~ furpelt(c_theprototypicalfurpelt)
| ~ spl0_2 ),
inference(resolution,[],[f44309,f44269]) ).
fof(f44344,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f44343,f44280]) ).
fof(f44345,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f44344]) ).
cnf(s3,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f44316]) ).
cnf(s8,plain,
spl0_1,
inference(sat_conversion,[],[f44341]) ).
cnf(s9,plain,
~ spl0_2,
inference(sat_conversion,[],[f44345]) ).
cnf(s12,plain,
$false,
inference(rat,[],[s3,s9,s8]) ).
fof(f44346,plain,
$false,
inference(avatar_sat_refutation,[],[s12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR068+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.18 % Computer : n013.cluster.edu
% 0.11/0.18 % Model : x86_64 x86_64
% 0.11/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.18 % Memory : 8046.5625MB
% 0.11/0.18 % OS : Linux 6.8.0-71-generic
% 0.11/0.18 % CPULimit : 300
% 0.11/0.18 % WCLimit : 300
% 0.11/0.18 % DateTime : Mon Sep 28 22:23:21 UTC 2026
% 0.11/0.18 % CPUTime :
% 0.11/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.22 Running first-order theorem proving
% 0.11/0.22 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
% 6.45/2.47 % (1656312)Detected formulas, will run a generic FOF schedule.
% 6.45/2.47 % (1656318)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=3561525991:i=141193_2991 on theBenchmark for (2991ds/141193Mi)
% 6.45/2.47 % (1656319)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=3993593162:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2991 on theBenchmark for (2991ds/134677Mi)
% 6.45/2.47 % (1656324)dis-21_1_sil=8000:lcm=predicate:random_seed=1129152543:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2991 on theBenchmark for (2991ds/129Mi)
% 6.45/2.47 % (1656321)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2640163693:i=109:sd=1:ins=1:gsp=on:ss=axioms_2991 on theBenchmark for (2991ds/109Mi)
% 6.45/2.47 % (1656323)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3130563774:s2a=on:i=139:gtg=position_2991 on theBenchmark for (2991ds/139Mi)
% 6.45/2.47 % (1656320)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=80478464:i=141695:sd=1:nm=32:gsp=on:ss=included_2991 on theBenchmark for (2991ds/141695Mi)
% 6.45/2.47 % (1656322)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2117992495:i=119:av=off:ss=axioms_2991 on theBenchmark for (2991ds/119Mi)
% 6.45/2.47 % (1656323)Instruction limit reached!
% 6.45/2.47 % (1656323)------------------------------
% 6.45/2.47 % (1656323)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.45/2.47 % (1656323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.45/2.47 % (1656323)CaDiCaL version: 2.1.3
% 6.45/2.47 % (1656323)Termination reason: Instruction limit
% 6.45/2.47 % (1656323)Termination phase: Property scanning
% 6.45/2.47 % (1656323)Time elapsed: 0.065 s
% 6.45/2.47 % (1656323)Peak memory usage: 110 MB
% 6.45/2.47 % (1656323)Instructions burned: 141 (million)
% 6.45/2.47 % (1656324)Instruction limit reached!
% 6.45/2.47 % (1656324)------------------------------
% 6.45/2.47 % (1656324)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.45/2.47 % (1656324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.45/2.47 % (1656324)CaDiCaL version: 2.1.3
% 6.45/2.47 % (1656324)Termination reason: Instruction limit
% 6.45/2.47 % (1656324)Termination phase: SInE selection
% 6.45/2.47 % (1656324)Time elapsed: 0.072 s
% 6.45/2.47 % (1656324)Peak memory usage: 111 MB
% 6.45/2.47 % (1656324)Instructions burned: 129 (million)
% 6.45/2.47 % (1656321)Instruction limit reached!
% 6.45/2.47 % (1656321)------------------------------
% 6.45/2.47 % (1656321)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.45/2.47 % (1656321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.45/2.47 % (1656321)CaDiCaL version: 2.1.3
% 6.45/2.47 % (1656321)Termination reason: Instruction limit
% 6.45/2.47 % (1656321)Termination phase: Saturation
% 6.45/2.47 % (1656321)Time elapsed: 0.078 s
% 6.45/2.47 % (1656321)Peak memory usage: 116 MB
% 6.45/2.47 % (1656321)Instructions burned: 112 (million)
% 6.45/2.47 % (1656322)Instruction limit reached!
% 6.45/2.47 % (1656322)------------------------------
% 6.45/2.47 % (1656322)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.45/2.48 % (1656322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.45/2.48 % (1656322)CaDiCaL version: 2.1.3
% 6.45/2.48 % (1656322)Termination reason: Instruction limit
% 6.45/2.48 % (1656322)Termination phase: Saturation
% 6.45/2.48 % (1656322)Time elapsed: 0.088 s
% 6.45/2.48 % (1656322)Peak memory usage: 116 MB
% 6.45/2.48 % (1656322)Instructions burned: 120 (million)
% 6.45/2.48 % (1656332)lrs+10_1_sil=8000:sp=occurrence:random_seed=1799544711:i=285:sd=3:ss=axioms:sgt=8_2989 on theBenchmark for (2989ds/285Mi)
% 6.45/2.48 % (1656334)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4034470009:i=325:sd=1:ss=axioms:sgt=32_2988 on theBenchmark for (2988ds/325Mi)
% 6.45/2.48 % (1656333)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2366239355:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2988 on theBenchmark for (2988ds/157Mi)
% 6.45/2.48 % (1656335)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=109515428:s2a=on:i=248:s2at=1.23:gtg=position_2988 on theBenchmark for (2988ds/248Mi)
% 6.45/2.48 % (1656332)First to succeed.
% 6.45/2.48 % (1656333)Instruction limit reached!
% 6.45/2.48 % (1656333)------------------------------
% 6.45/2.48 % (1656333)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.45/2.48 % (1656333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.45/2.48 % (1656333)CaDiCaL version: 2.1.3
% 6.45/2.48 % (1656333)Termination reason: Instruction limit
% 6.45/2.48 % (1656333)Termination phase: Property scanning
% 6.45/2.48 % (1656333)Time elapsed: 0.072 s
% 6.45/2.48 % (1656333)Peak memory usage: 110 MB
% 6.45/2.48 % (1656333)Instructions burned: 159 (million)
% 6.45/2.48 % (1656332)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1656312"
% 6.45/2.48 % (1656334)Also succeeded, but the first one will report.
% 6.45/2.48 % (1656335)Instruction limit reached!
% 6.45/2.48 % (1656335)------------------------------
% 6.45/2.48 % (1656335)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.45/2.48 % (1656335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.45/2.48 % (1656335)CaDiCaL version: 2.1.3
% 6.45/2.48 % (1656335)Termination reason: Instruction limit
% 6.45/2.48 % (1656335)Termination phase: SInE selection
% 6.45/2.48 % (1656335)Time elapsed: 0.123 s
% 6.45/2.48 % (1656335)Peak memory usage: 111 MB
% 6.45/2.48 % (1656335)Instructions burned: 250 (million)
% 6.45/2.48 % (1656340)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=382327059:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2986 on theBenchmark for (2986ds/294Mi)
% 6.45/2.48 % (1656341)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2771026522:i=2350_2986 on theBenchmark for (2986ds/2350Mi)
% 6.45/2.48 % (1656332)Refutation found. Thanks to Tanya!
% 6.45/2.48 % SZS status Theorem for theBenchmark
% 6.45/2.48 % SZS output start Proof for theBenchmark
% See solution above
% 6.45/2.48 % (1656332)------------------------------
% 6.45/2.48 % (1656332)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.45/2.48 % (1656332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.45/2.48 % (1656332)CaDiCaL version: 2.1.3
% 6.45/2.48 % (1656332)Termination reason: Refutation
% 6.45/2.48 % (1656332)Time elapsed: 0.085 s
% 6.45/2.48 % (1656332)Peak memory usage: 120 MB
% 6.45/2.48 % (1656332)Instructions burned: 114 (million)
% 6.45/2.48 % (1656332)------------------------------
% 6.45/2.48 % (1656332)------------------------------
% 6.45/2.48 % (1656312)Success in time 1.596 s
% 6.45/2.48 % Vampire exiting
%------------------------------------------------------------------------------