%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR030+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 : n007.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 09:42:03 AM UTC 2026
% Result : Theorem 6.72s 2.56s
% Output : Refutation 6.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 38 ( 11 unt; 2 def)
% Number of atoms : 69 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 56 ( 25 ~; 21 |; 2 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 24 ( 0 sgn 22 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6493,axiom,
! [X0,X1] :
( tptptypes_7_389(X0,X1)
=> tptptypes_6_388(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_6493) ).
fof(f11372,axiom,
! [X0,X1] :
( tptptypes_6_388(X0,X1)
=> tptptypes_5_387(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_11372) ).
fof(f14388,axiom,
genlmt(c_tptp_member3393_mt,c_tptp_spindleheadmt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_14388) ).
fof(f20186,axiom,
( mtvisible(c_tptp_spindleheadmt)
=> tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_20186) ).
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_member3393_mt)
=> tptptypes_5_387(X0,c_pushingwithopenhand) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query180) ).
fof(f44218,negated_conjecture,
~ ? [X0] :
( mtvisible(c_tptp_member3393_mt)
=> tptptypes_5_387(X0,c_pushingwithopenhand) ),
inference(negated_conjecture,[status(cth)],[f44217]) ).
fof(f44238,plain,
! [X0] :
( ~ tptptypes_5_387(X0,c_pushingwithopenhand)
& mtvisible(c_tptp_member3393_mt) ),
inference(ennf_transformation,[],[f44218]) ).
fof(f44239,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(ennf_transformation,[],[f44208]) ).
fof(f44240,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(flattening,[],[f44239]) ).
fof(f44242,plain,
! [X0,X1] :
( tptptypes_5_387(X0,X1)
| ~ tptptypes_6_388(X0,X1) ),
inference(ennf_transformation,[],[f11372]) ).
fof(f44245,plain,
( tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451)
| ~ mtvisible(c_tptp_spindleheadmt) ),
inference(ennf_transformation,[],[f20186]) ).
fof(f44253,plain,
! [X0,X1] :
( tptptypes_6_388(X1,X0)
| ~ tptptypes_7_389(X0,X1) ),
inference(ennf_transformation,[],[f6493]) ).
fof(f44262,plain,
mtvisible(c_tptp_member3393_mt),
inference(cnf_transformation,[],[f44238]) ).
fof(f44263,plain,
! [X0] : ~ tptptypes_5_387(X0,c_pushingwithopenhand),
inference(cnf_transformation,[],[f44238]) ).
fof(f44264,plain,
! [X0,X1] :
( ~ genlmt(X0,X1)
| ~ mtvisible(X0)
| mtvisible(X1) ),
inference(cnf_transformation,[],[f44240]) ).
fof(f44267,plain,
! [X0,X1] :
( ~ tptptypes_6_388(X0,X1)
| tptptypes_5_387(X0,X1) ),
inference(cnf_transformation,[],[f44242]) ).
fof(f44270,plain,
( tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451)
| ~ mtvisible(c_tptp_spindleheadmt) ),
inference(cnf_transformation,[],[f44245]) ).
fof(f44276,plain,
genlmt(c_tptp_member3393_mt,c_tptp_spindleheadmt),
inference(cnf_transformation,[],[f14388]) ).
fof(f44280,plain,
! [X0,X1] :
( ~ tptptypes_7_389(X0,X1)
| tptptypes_6_388(X1,X0) ),
inference(cnf_transformation,[],[f44253]) ).
fof(f44312,definition,
( spl0_4
<=> mtvisible(c_tptp_spindleheadmt) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f44314,plain,
( ~ mtvisible(c_tptp_spindleheadmt)
| spl0_4 ),
inference(avatar_component_clause,[],[f44312]) ).
fof(f44316,definition,
( spl0_5
<=> tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f44318,plain,
( tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f44316]) ).
fof(f44329,plain,
( ~ spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f44270,f44316,f44312]) ).
fof(f44343,plain,
( ~ mtvisible(c_tptp_member3393_mt)
| mtvisible(c_tptp_spindleheadmt) ),
inference(resolution,[],[f44264,f44276]) ).
fof(f44345,plain,
mtvisible(c_tptp_spindleheadmt),
inference(forward_subsumption_resolution,[],[f44343,f44262]) ).
fof(f44357,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f44345,f44314]) ).
fof(f44358,plain,
spl0_4,
inference(avatar_contradiction_clause,[],[f44357]) ).
fof(f44360,plain,
( tptptypes_6_388(c_tptpcol_16_4451,c_pushingwithopenhand)
| ~ spl0_5 ),
inference(resolution,[],[f44318,f44280]) ).
fof(f44371,plain,
( tptptypes_5_387(c_tptpcol_16_4451,c_pushingwithopenhand)
| ~ spl0_5 ),
inference(resolution,[],[f44360,f44267]) ).
fof(f44372,plain,
( $false
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f44371,f44263]) ).
fof(f44373,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f44372]) ).
cnf(s5,plain,
( ~ spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f44329]) ).
cnf(s7,plain,
spl0_4,
inference(sat_conversion,[],[f44358]) ).
cnf(s9,plain,
~ spl0_5,
inference(sat_conversion,[],[f44373]) ).
cnf(s10,plain,
$false,
inference(rat,[],[s5,s9,s7]) ).
fof(f44374,plain,
$false,
inference(avatar_sat_refutation,[],[s10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR030+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 : n007.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 22:09:40 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 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
% 6.72/2.55 % (2908709)Detected formulas, will run a generic FOF schedule.
% 6.72/2.55 % (2908844)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=3355122635:i=141193_2990 on theBenchmark for (2990ds/141193Mi)
% 6.72/2.55 % (2908846)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=794583056:i=141695:sd=1:nm=32:gsp=on:ss=included_2990 on theBenchmark for (2990ds/141695Mi)
% 6.72/2.55 % (2908848)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=857631533:i=119:av=off:ss=axioms_2990 on theBenchmark for (2990ds/119Mi)
% 6.72/2.55 % (2908845)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=3431774900:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2990 on theBenchmark for (2990ds/134677Mi)
% 6.72/2.55 % (2908847)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3638690000:i=109:sd=1:ins=1:gsp=on:ss=axioms_2990 on theBenchmark for (2990ds/109Mi)
% 6.72/2.56 % (2908850)dis-21_1_sil=8000:lcm=predicate:random_seed=1997413576:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2990 on theBenchmark for (2990ds/129Mi)
% 6.72/2.56 % (2908849)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2518620235:s2a=on:i=139:gtg=position_2990 on theBenchmark for (2990ds/139Mi)
% 6.72/2.56 % (2908848)Instruction limit reached!
% 6.72/2.56 % (2908848)------------------------------
% 6.72/2.56 % (2908848)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.72/2.56 % (2908848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.72/2.56 % (2908848)CaDiCaL version: 2.1.3
% 6.72/2.56 % (2908848)Termination reason: Instruction limit
% 6.72/2.56 % (2908848)Termination phase: Saturation
% 6.72/2.56 % (2908848)Time elapsed: 0.082 s
% 6.72/2.56 % (2908848)Peak memory usage: 116 MB
% 6.72/2.56 % (2908848)Instructions burned: 122 (million)
% 6.72/2.56 % (2908849)Instruction limit reached!
% 6.72/2.56 % (2908849)------------------------------
% 6.72/2.56 % (2908849)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.72/2.56 % (2908849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.72/2.56 % (2908849)CaDiCaL version: 2.1.3
% 6.72/2.56 % (2908849)Termination reason: Instruction limit
% 6.72/2.56 % (2908849)Termination phase: Property scanning
% 6.72/2.56 % (2908849)Time elapsed: 0.063 s
% 6.72/2.56 % (2908849)Peak memory usage: 110 MB
% 6.72/2.56 % (2908849)Instructions burned: 139 (million)
% 6.72/2.56 % (2908847)Instruction limit reached!
% 6.72/2.56 % (2908847)------------------------------
% 6.72/2.56 % (2908847)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.72/2.56 % (2908847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.72/2.56 % (2908847)CaDiCaL version: 2.1.3
% 6.72/2.56 % (2908847)Termination reason: Instruction limit
% 6.72/2.56 % (2908847)Termination phase: Saturation
% 6.72/2.56 % (2908847)Time elapsed: 0.080 s
% 6.72/2.56 % (2908847)Peak memory usage: 117 MB
% 6.72/2.56 % (2908847)Instructions burned: 109 (million)
% 6.72/2.56 % (2908850)Instruction limit reached!
% 6.72/2.56 % (2908850)------------------------------
% 6.72/2.56 % (2908850)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.72/2.56 % (2908850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.72/2.56 % (2908850)CaDiCaL version: 2.1.3
% 6.72/2.56 % (2908850)Termination reason: Instruction limit
% 6.72/2.56 % (2908850)Termination phase: SInE selection
% 6.72/2.56 % (2908850)Time elapsed: 0.076 s
% 6.72/2.56 % (2908850)Peak memory usage: 111 MB
% 6.72/2.56 % (2908850)Instructions burned: 129 (million)
% 6.72/2.56 % (2908858)lrs+10_1_sil=8000:sp=occurrence:random_seed=2907288231:i=285:sd=3:ss=axioms:sgt=8_2988 on theBenchmark for (2988ds/285Mi)
% 6.72/2.56 % (2908859)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2085865136:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2988 on theBenchmark for (2988ds/157Mi)
% 6.72/2.56 % (2908860)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1128655688:i=325:sd=1:ss=axioms:sgt=32_2988 on theBenchmark for (2988ds/325Mi)
% 6.72/2.56 % (2908861)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=306135259:s2a=on:i=248:s2at=1.23:gtg=position_2988 on theBenchmark for (2988ds/248Mi)
% 6.72/2.56 % (2908859)Instruction limit reached!
% 6.72/2.56 % (2908859)------------------------------
% 6.72/2.56 % (2908859)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.72/2.56 % (2908859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.72/2.56 % (2908859)CaDiCaL version: 2.1.3
% 6.72/2.56 % (2908859)Termination reason: Instruction limit
% 6.72/2.56 % (2908859)Termination phase: Property scanning
% 6.72/2.56 % (2908859)Time elapsed: 0.072 s
% 6.72/2.56 % (2908859)Peak memory usage: 110 MB
% 6.72/2.56 % (2908859)Instructions burned: 158 (million)
% 6.72/2.56 % (2908858)First to succeed.
% 6.72/2.56 % (2908858)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2908709"
% 6.72/2.56 % (2908860)Refutation not found, incomplete strategy
% 6.72/2.56 % (2908860)------------------------------
% 6.72/2.56 % (2908860)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.72/2.56 % (2908860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.72/2.56 % (2908860)CaDiCaL version: 2.1.3
% 6.72/2.56 % (2908860)Termination reason: Refutation not found, incomplete strategy
% 6.72/2.56 % (2908860)Time elapsed: 0.086 s
% 6.72/2.56 % (2908860)Peak memory usage: 118 MB
% 6.72/2.56 % (2908860)Instructions burned: 113 (million)
% 6.72/2.56 % (2908861)Instruction limit reached!
% 6.72/2.56 % (2908861)------------------------------
% 6.72/2.56 % (2908861)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.72/2.56 % (2908861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.72/2.56 % (2908861)CaDiCaL version: 2.1.3
% 6.72/2.56 % (2908861)Termination reason: Instruction limit
% 6.72/2.56 % (2908861)Termination phase: SInE selection
% 6.72/2.56 % (2908861)Time elapsed: 0.133 s
% 6.72/2.56 % (2908861)Peak memory usage: 111 MB
% 6.72/2.56 % (2908861)Instructions burned: 250 (million)
% 6.72/2.56 % (2908866)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3793661709:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2986 on theBenchmark for (2986ds/294Mi)
% 6.72/2.56 % (2908867)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1247772217:i=2350_2985 on theBenchmark for (2985ds/2350Mi)
% 6.72/2.56 % (2908858)Refutation found. Thanks to Tanya!
% 6.72/2.56 % SZS status Theorem for theBenchmark
% 6.72/2.56 % SZS output start Proof for theBenchmark
% See solution above
% 6.72/2.56 % (2908858)------------------------------
% 6.72/2.56 % (2908858)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.72/2.56 % (2908858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.72/2.56 % (2908858)CaDiCaL version: 2.1.3
% 6.72/2.56 % (2908858)Termination reason: Refutation
% 6.72/2.56 % (2908858)Time elapsed: 0.088 s
% 6.72/2.56 % (2908858)Peak memory usage: 120 MB
% 6.72/2.56 % (2908858)Instructions burned: 114 (million)
% 6.72/2.56 % (2908858)------------------------------
% 6.72/2.56 % (2908858)------------------------------
% 6.72/2.56 % (2908709)Success in time 1.659 s
% 6.72/2.56 % Vampire exiting
%------------------------------------------------------------------------------