%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR056+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 : n005.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 09:42:24 AM UTC 2026
% Result : Theorem 7.32s 3.12s
% Output : Refutation 7.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of formulae : 54 ( 13 unt; 4 def)
% Number of atoms : 107 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 99 ( 46 ~; 40 |; 3 &)
% ( 4 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 5 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 21 ( 0 sgn 19 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f86,axiom,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_86) ).
fof(f2404,axiom,
genlmt(c_tptp_member3717_mt,c_tptp_spindleheadmt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_2404) ).
fof(f15536,axiom,
( mtvisible(c_cyclistsmt)
=> artsupplies(c_tptpartsupplies) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_15536) ).
fof(f17177,axiom,
! [X0] :
( ( mtvisible(c_tptp_member3717_mt)
& supplies(X0) )
=> tptpofobject(X0,f_tptpquantityfn_17(n_385)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_17177) ).
fof(f22608,axiom,
! [X0] :
( artsupplies(X0)
=> supplies(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_22608) ).
fof(f44208,axiom,
! [X0,X1] :
( ( mtvisible(X0)
& genlmt(X0,X1) )
=> mtvisible(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_44208) ).
fof(f44217,conjecture,
? [X0] :
( mtvisible(c_tptp_member3717_mt)
=> tptpofobject(c_tptpartsupplies,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query206) ).
fof(f44218,negated_conjecture,
~ ? [X0] :
( mtvisible(c_tptp_member3717_mt)
=> tptpofobject(c_tptpartsupplies,X0) ),
inference(negated_conjecture,[status(cth)],[f44217]) ).
fof(f44239,plain,
! [X0] :
( ~ tptpofobject(c_tptpartsupplies,X0)
& mtvisible(c_tptp_member3717_mt) ),
inference(ennf_transformation,[],[f44218]) ).
fof(f44240,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(ennf_transformation,[],[f44208]) ).
fof(f44241,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(flattening,[],[f44240]) ).
fof(f44242,plain,
( artsupplies(c_tptpartsupplies)
| ~ mtvisible(c_cyclistsmt) ),
inference(ennf_transformation,[],[f15536]) ).
fof(f44245,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_17(n_385))
| ~ mtvisible(c_tptp_member3717_mt)
| ~ supplies(X0) ),
inference(ennf_transformation,[],[f17177]) ).
fof(f44246,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_17(n_385))
| ~ mtvisible(c_tptp_member3717_mt)
| ~ supplies(X0) ),
inference(flattening,[],[f44245]) ).
fof(f44250,plain,
! [X0] :
( supplies(X0)
| ~ artsupplies(X0) ),
inference(ennf_transformation,[],[f22608]) ).
fof(f44278,plain,
mtvisible(c_tptp_member3717_mt),
inference(cnf_transformation,[],[f44239]) ).
fof(f44279,plain,
! [X0] : ~ tptpofobject(c_tptpartsupplies,X0),
inference(cnf_transformation,[],[f44239]) ).
fof(f44280,plain,
! [X0,X1] :
( ~ genlmt(X0,X1)
| ~ mtvisible(X0)
| mtvisible(X1) ),
inference(cnf_transformation,[],[f44241]) ).
fof(f44283,plain,
( artsupplies(c_tptpartsupplies)
| ~ mtvisible(c_cyclistsmt) ),
inference(cnf_transformation,[],[f44242]) ).
fof(f44287,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_17(n_385))
| ~ mtvisible(c_tptp_member3717_mt)
| ~ supplies(X0) ),
inference(cnf_transformation,[],[f44246]) ).
fof(f44289,plain,
genlmt(c_tptp_member3717_mt,c_tptp_spindleheadmt),
inference(cnf_transformation,[],[f2404]) ).
fof(f44293,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(cnf_transformation,[],[f86]) ).
fof(f44295,plain,
! [X0] :
( ~ artsupplies(X0)
| supplies(X0) ),
inference(cnf_transformation,[],[f44250]) ).
fof(f44326,definition,
( spl0_1
<=> mtvisible(c_tptp_member3717_mt) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f44327,plain,
( mtvisible(c_tptp_member3717_mt)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f44326]) ).
fof(f44330,definition,
( spl0_2
<=> ! [X0] :
( tptpofobject(X0,f_tptpquantityfn_17(n_385))
| ~ supplies(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f44331,plain,
( ! [X0] :
( tptpofobject(X0,f_tptpquantityfn_17(n_385))
| ~ supplies(X0) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f44330]) ).
fof(f44332,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f44287,f44330,f44326]) ).
fof(f44339,definition,
( spl0_4
<=> mtvisible(c_cyclistsmt) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f44341,plain,
( ~ mtvisible(c_cyclistsmt)
| spl0_4 ),
inference(avatar_component_clause,[],[f44339]) ).
fof(f44343,definition,
( spl0_5
<=> artsupplies(c_tptpartsupplies) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f44345,plain,
( artsupplies(c_tptpartsupplies)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f44343]) ).
fof(f44347,plain,
( ~ spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f44283,f44343,f44339]) ).
fof(f44348,plain,
spl0_1,
inference(avatar_split_clause,[],[f44278,f44326]) ).
fof(f44373,plain,
( ~ supplies(c_tptpartsupplies)
| ~ spl0_2 ),
inference(resolution,[],[f44331,f44279]) ).
fof(f44375,plain,
( ~ mtvisible(c_tptp_member3717_mt)
| mtvisible(c_tptp_spindleheadmt) ),
inference(resolution,[],[f44280,f44289]) ).
fof(f44377,plain,
( ~ mtvisible(c_tptp_spindleheadmt)
| mtvisible(c_cyclistsmt) ),
inference(resolution,[],[f44280,f44293]) ).
fof(f44379,plain,
( ~ mtvisible(c_tptp_spindleheadmt)
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f44377,f44341]) ).
fof(f44380,plain,
( mtvisible(c_tptp_spindleheadmt)
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f44375,f44327]) ).
fof(f44381,plain,
( $false
| ~ spl0_1
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f44380,f44379]) ).
fof(f44382,plain,
( ~ spl0_1
| spl0_4 ),
inference(avatar_contradiction_clause,[],[f44381]) ).
fof(f44383,plain,
( supplies(c_tptpartsupplies)
| ~ spl0_5 ),
inference(resolution,[],[f44345,f44295]) ).
fof(f44386,plain,
( $false
| ~ spl0_2
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f44383,f44373]) ).
fof(f44387,plain,
( ~ spl0_2
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f44386]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f44332]) ).
cnf(s4,plain,
( ~ spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f44347]) ).
cnf(s5,plain,
spl0_1,
inference(sat_conversion,[],[f44348]) ).
cnf(s8,plain,
( ~ spl0_1
| spl0_4 ),
inference(sat_conversion,[],[f44382]) ).
cnf(s10,plain,
( ~ spl0_2
| ~ spl0_5 ),
inference(sat_conversion,[],[f44387]) ).
cnf(s11,plain,
spl0_4,
inference(rat,[],[s8,s5]) ).
cnf(s12,plain,
spl0_5,
inference(rat,[],[s4,s11]) ).
cnf(s13,plain,
~ spl0_2,
inference(rat,[],[s10,s12]) ).
cnf(s16,plain,
$false,
inference(rat,[],[s1,s13,s5]) ).
fof(f44388,plain,
$false,
inference(avatar_sat_refutation,[],[s16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR056+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n005.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 22:20:46 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 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
% 3.52/2.86 % (1249109)Detected formulas, will run a generic FOF schedule.
% 3.52/2.86 % (1249285)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=93384655:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2988 on theBenchmark for (2988ds/134677Mi)
% 3.52/2.86 % (1249288)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3332213144:i=119:av=off:ss=axioms_2988 on theBenchmark for (2988ds/119Mi)
% 3.52/2.86 % (1249287)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1284986648:i=109:sd=1:ins=1:gsp=on:ss=axioms_2988 on theBenchmark for (2988ds/109Mi)
% 3.52/2.86 % (1249284)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=1638263999:i=141193_2988 on theBenchmark for (2988ds/141193Mi)
% 3.52/2.86 % (1249290)dis-21_1_sil=8000:lcm=predicate:random_seed=462108012:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2988 on theBenchmark for (2988ds/129Mi)
% 3.52/2.86 % (1249289)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2956504894:s2a=on:i=139:gtg=position_2988 on theBenchmark for (2988ds/139Mi)
% 3.52/2.86 % (1249286)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=3738185931:i=141695:sd=1:nm=32:gsp=on:ss=included_2988 on theBenchmark for (2988ds/141695Mi)
% 3.52/2.86 % (1249289)Instruction limit reached!
% 3.52/2.86 % (1249289)------------------------------
% 3.52/2.86 % (1249289)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.52/2.86 % (1249289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.52/2.86 % (1249289)CaDiCaL version: 2.1.3
% 3.52/2.86 % (1249289)Termination reason: Instruction limit
% 3.52/2.86 % (1249289)Termination phase: Property scanning
% 3.52/2.86 % (1249289)Time elapsed: 0.066 s
% 3.52/2.86 % (1249289)Peak memory usage: 110 MB
% 3.52/2.86 % (1249289)Instructions burned: 139 (million)
% 3.52/2.86 % (1249290)Instruction limit reached!
% 3.52/2.86 % (1249290)------------------------------
% 3.52/2.86 % (1249290)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.52/2.86 % (1249290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.52/2.86 % (1249290)CaDiCaL version: 2.1.3
% 3.52/2.86 % (1249290)Termination reason: Instruction limit
% 3.52/2.86 % (1249290)Termination phase: SInE selection
% 3.52/2.86 % (1249290)Time elapsed: 0.077 s
% 3.52/2.86 % (1249290)Peak memory usage: 111 MB
% 3.52/2.86 % (1249290)Instructions burned: 130 (million)
% 3.52/2.86 % (1249287)Instruction limit reached!
% 3.52/2.86 % (1249287)------------------------------
% 3.52/2.86 % (1249287)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.52/2.86 % (1249287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.52/2.86 % (1249287)CaDiCaL version: 2.1.3
% 3.52/2.86 % (1249287)Termination reason: Instruction limit
% 3.52/2.86 % (1249287)Termination phase: Saturation
% 3.52/2.86 % (1249287)Time elapsed: 0.081 s
% 3.52/2.86 % (1249287)Peak memory usage: 117 MB
% 3.52/2.86 % (1249287)Instructions burned: 109 (million)
% 3.52/2.86 % (1249288)Instruction limit reached!
% 3.52/2.86 % (1249288)------------------------------
% 3.52/2.86 % (1249288)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.52/2.86 % (1249288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.52/2.86 % (1249288)CaDiCaL version: 2.1.3
% 3.52/2.86 % (1249288)Termination reason: Instruction limit
% 3.52/2.86 % (1249288)Termination phase: Saturation
% 3.52/2.86 % (1249288)Time elapsed: 0.085 s
% 3.52/2.86 % (1249288)Peak memory usage: 116 MB
% 3.52/2.86 % (1249288)Instructions burned: 122 (million)
% 3.52/2.86 % (1249298)lrs+10_1_sil=8000:sp=occurrence:random_seed=1782562962:i=285:sd=3:ss=axioms:sgt=8_2986 on theBenchmark for (2986ds/285Mi)
% 3.52/2.86 % (1249299)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4041445085:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2986 on theBenchmark for (2986ds/157Mi)
% 3.52/2.86 % (1249301)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=2708522474:s2a=on:i=248:s2at=1.23:gtg=position_2986 on theBenchmark for (2986ds/248Mi)
% 3.52/2.86 % (1249300)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3327091794:i=325:sd=1:ss=axioms:sgt=32_2986 on theBenchmark for (2986ds/325Mi)
% 3.52/2.86 % (1249299)Instruction limit reached!
% 7.32/3.12 % (1249299)------------------------------
% 7.32/3.12 % (1249299)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.32/3.12 % (1249299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.32/3.12 % (1249299)CaDiCaL version: 2.1.3
% 7.32/3.12 % (1249299)Termination reason: Instruction limit
% 7.32/3.12 % (1249299)Termination phase: Property scanning
% 7.32/3.12 % (1249299)Time elapsed: 0.073 s
% 7.32/3.12 % (1249299)Peak memory usage: 111 MB
% 7.32/3.12 % (1249299)Instructions burned: 158 (million)
% 7.32/3.12 % (1249298)First to succeed.
% 7.32/3.12 % (1249298)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1249109"
% 7.32/3.12 % (1249300)Refutation not found, incomplete strategy
% 7.32/3.12 % (1249300)------------------------------
% 7.32/3.12 % (1249300)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.32/3.12 % (1249300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.32/3.12 % (1249300)CaDiCaL version: 2.1.3
% 7.32/3.12 % (1249300)Termination reason: Refutation not found, incomplete strategy
% 7.32/3.12 % (1249300)Time elapsed: 0.086 s
% 7.32/3.12 % (1249300)Peak memory usage: 119 MB
% 7.32/3.12 % (1249300)Instructions burned: 108 (million)
% 7.32/3.12 % (1249301)Instruction limit reached!
% 7.32/3.12 % (1249301)------------------------------
% 7.32/3.12 % (1249301)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.32/3.12 % (1249301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.32/3.12 % (1249301)CaDiCaL version: 2.1.3
% 7.32/3.12 % (1249301)Termination reason: Instruction limit
% 7.32/3.12 % (1249301)Termination phase: SInE selection
% 7.32/3.12 % (1249301)Time elapsed: 0.126 s
% 7.32/3.12 % (1249301)Peak memory usage: 111 MB
% 7.32/3.12 % (1249301)Instructions burned: 248 (million)
% 7.32/3.12 % (1249306)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2857847285:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2984 on theBenchmark for (2984ds/294Mi)
% 7.32/3.12 % (1249307)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1802206656:i=2350_2983 on theBenchmark for (2983ds/2350Mi)
% 7.32/3.12 % (1249298)Refutation found. Thanks to Tanya!
% 7.32/3.12 % SZS status Theorem for theBenchmark
% 7.32/3.12 % SZS output start Proof for theBenchmark
% See solution above
% 7.32/3.12 % (1249298)------------------------------
% 7.32/3.12 % (1249298)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.32/3.12 % (1249298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.32/3.12 % (1249298)CaDiCaL version: 2.1.3
% 7.32/3.12 % (1249298)Termination reason: Refutation
% 7.32/3.12 % (1249298)Time elapsed: 0.087 s
% 7.32/3.12 % (1249298)Peak memory usage: 120 MB
% 7.32/3.12 % (1249298)Instructions burned: 114 (million)
% 7.32/3.12 % (1249298)------------------------------
% 7.32/3.12 % (1249298)------------------------------
% 7.32/3.12 % (1249109)Success in time 1.884 s
% 7.32/3.12 % Vampire exiting
%------------------------------------------------------------------------------