%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR030+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 : n001.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 6.62s 2.20s
% Output : Refutation 6.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 38 ( 12 unt; 2 def)
% Number of atoms : 69 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 58 ( 27 ~; 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 : 27 ( 0 sgn 25 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1207,axiom,
( mtvisible(c_tptp_spindleheadmt)
=> tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2_1207) ).
fof(f2994,axiom,
genlmt(c_tptp_member3393_mt,c_tptp_spindleheadmt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2_2994) ).
fof(f3103,axiom,
! [X0,X1] :
( tptptypes_6_388(X0,X1)
=> tptptypes_5_387(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2_3103) ).
fof(f3784,axiom,
! [X0,X1] :
( tptptypes_7_389(X0,X1)
=> tptptypes_6_388(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2_3784) ).
fof(f7997,axiom,
! [X0,X1] :
( ( mtvisible(X0)
& genlmt(X0,X1) )
=> mtvisible(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2_7997) ).
fof(f8006,conjecture,
? [X0] :
( mtvisible(c_tptp_member3393_mt)
=> tptptypes_5_387(X0,c_pushingwithopenhand) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query130) ).
fof(f8007,negated_conjecture,
~ ? [X0] :
( mtvisible(c_tptp_member3393_mt)
=> tptptypes_5_387(X0,c_pushingwithopenhand) ),
inference(negated_conjecture,[status(cth)],[f8006]) ).
fof(f8026,plain,
! [X0] :
( ~ tptptypes_5_387(X0,c_pushingwithopenhand)
& mtvisible(c_tptp_member3393_mt) ),
inference(ennf_transformation,[],[f8007]) ).
fof(f8027,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(ennf_transformation,[],[f7997]) ).
fof(f8028,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(flattening,[],[f8027]) ).
fof(f8029,plain,
! [X0,X1] :
( tptptypes_5_387(X0,X1)
| ~ tptptypes_6_388(X0,X1) ),
inference(ennf_transformation,[],[f3103]) ).
fof(f8035,plain,
( tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451)
| ~ mtvisible(c_tptp_spindleheadmt) ),
inference(ennf_transformation,[],[f1207]) ).
fof(f8039,plain,
! [X0,X1] :
( tptptypes_6_388(X1,X0)
| ~ tptptypes_7_389(X0,X1) ),
inference(ennf_transformation,[],[f3784]) ).
fof(f8059,plain,
mtvisible(c_tptp_member3393_mt),
inference(cnf_transformation,[],[f8026]) ).
fof(f8060,plain,
! [X0] : ~ tptptypes_5_387(X0,c_pushingwithopenhand),
inference(cnf_transformation,[],[f8026]) ).
fof(f8061,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(cnf_transformation,[],[f8028]) ).
fof(f8063,plain,
! [X0,X1] :
( tptptypes_5_387(X0,X1)
| ~ tptptypes_6_388(X0,X1) ),
inference(cnf_transformation,[],[f8029]) ).
fof(f8069,plain,
( tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451)
| ~ mtvisible(c_tptp_spindleheadmt) ),
inference(cnf_transformation,[],[f8035]) ).
fof(f8071,plain,
genlmt(c_tptp_member3393_mt,c_tptp_spindleheadmt),
inference(cnf_transformation,[],[f2994]) ).
fof(f8079,plain,
! [X0,X1] :
( tptptypes_6_388(X1,X0)
| ~ tptptypes_7_389(X0,X1) ),
inference(cnf_transformation,[],[f8039]) ).
fof(f8137,definition,
( spl0_3
<=> mtvisible(c_tptp_spindleheadmt) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f8138,plain,
( ~ mtvisible(c_tptp_spindleheadmt)
| spl0_3 ),
inference(avatar_component_clause,[],[f8137]) ).
fof(f8140,definition,
( spl0_4
<=> tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f8141,plain,
( tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f8140]) ).
fof(f8143,plain,
( ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f8069,f8140,f8137]) ).
fof(f8159,plain,
! [X0] : ~ tptptypes_6_388(X0,c_pushingwithopenhand),
inference(resolution,[],[f8063,f8060]) ).
fof(f8160,plain,
! [X0] : ~ tptptypes_7_389(c_pushingwithopenhand,X0),
inference(resolution,[],[f8079,f8159]) ).
fof(f8162,plain,
( ! [X0] :
( ~ mtvisible(X0)
| ~ genlmt(X0,c_tptp_spindleheadmt) )
| spl0_3 ),
inference(resolution,[],[f8061,f8138]) ).
fof(f8167,plain,
( ~ genlmt(c_tptp_member3393_mt,c_tptp_spindleheadmt)
| spl0_3 ),
inference(resolution,[],[f8162,f8059]) ).
fof(f8170,plain,
( $false
| spl0_3 ),
inference(resolution,[],[f8167,f8071]) ).
fof(f8171,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f8170]) ).
fof(f8172,plain,
( $false
| ~ spl0_4 ),
inference(resolution,[],[f8141,f8160]) ).
fof(f8173,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f8172]) ).
cnf(s4,plain,
( ~ spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f8143]) ).
cnf(s7,plain,
spl0_3,
inference(sat_conversion,[],[f8171]) ).
cnf(s8,plain,
~ spl0_4,
inference(sat_conversion,[],[f8173]) ).
cnf(s9,plain,
$false,
inference(rat,[],[s4,s8,s7]) ).
fof(f8174,plain,
$false,
inference(avatar_sat_refutation,[],[s9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR030+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.23 % Computer : n001.cluster.edu
% 0.11/0.23 % Model : x86_64 x86_64
% 0.11/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.23 % Memory : 8046.5625MB
% 0.11/0.23 % OS : Linux 6.8.0-71-generic
% 0.11/0.23 % CPULimit : 300
% 0.11/0.23 % WCLimit : 300
% 0.11/0.23 % DateTime : Mon Sep 28 22:17:34 UTC 2026
% 0.11/0.23 % CPUTime :
% 0.11/0.23 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.24/0.29 Running first-order theorem proving
% 0.24/0.29 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
% 6.62/2.20 % (805650)Detected formulas, will run a generic FOF schedule.
% 6.62/2.20 % (805660)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3595306036:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 6.62/2.20 % (805658)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4116437517:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 6.62/2.20 % (805659)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=241241804:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 6.62/2.20 % (805656)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=1473338963:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 6.62/2.20 % (805655)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=3008274420:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 6.62/2.20 % (805657)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=3195584157:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 6.62/2.20 % (805658)Refutation not found, incomplete strategy
% 6.62/2.20 % (805658)------------------------------
% 6.62/2.20 % (805658)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.62/2.20 % (805658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.62/2.20 % (805658)CaDiCaL version: 2.1.3
% 6.62/2.20 % (805658)Termination reason: Refutation not found, incomplete strategy
% 6.62/2.20 % (805658)Time elapsed: 0.014 s
% 6.62/2.20 % (805658)Peak memory usage: 93 MB
% 6.62/2.20 % (805658)Instructions burned: 24 (million)
% 6.62/2.20 % (805660)Instruction limit reached!
% 6.62/2.20 % (805660)------------------------------
% 6.62/2.20 % (805660)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.62/2.20 % (805660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.62/2.20 % (805660)CaDiCaL version: 2.1.3
% 6.62/2.20 % (805660)Termination reason: Instruction limit
% 6.62/2.20 % (805660)Termination phase: Saturation
% 6.62/2.20 % (805660)Time elapsed: 0.094 s
% 6.62/2.20 % (805660)Peak memory usage: 93 MB
% 6.62/2.20 % (805660)Instructions burned: 142 (million)
% 6.62/2.20 % (805661)dis-21_1_sil=8000:lcm=predicate:random_seed=2296651724:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 6.62/2.20 % (805659)Instruction limit reached!
% 6.62/2.20 % (805659)------------------------------
% 6.62/2.20 % (805659)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.62/2.20 % (805659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.62/2.20 % (805659)CaDiCaL version: 2.1.3
% 6.62/2.20 % (805659)Termination reason: Instruction limit
% 6.62/2.20 % (805659)Termination phase: Saturation
% 6.62/2.20 % (805659)Time elapsed: 0.085 s
% 6.62/2.20 % (805659)Peak memory usage: 93 MB
% 6.62/2.20 % (805659)Instructions burned: 119 (million)
% 6.62/2.20 % (805661)First to succeed.
% 6.62/2.20 % (805661)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-805650"
% 6.62/2.20 % (805658)------------------------------
% 6.62/2.20 % (805658)------------------------------
% 6.62/2.20 % (805670)lrs+10_1_sil=8000:sp=occurrence:random_seed=776012068:i=285:sd=3:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/285Mi)
% 6.62/2.20 % (805670)Also succeeded, but the first one will report.
% 6.62/2.20 % (805672)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4093553509:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 6.62/2.20 % (805672)Refutation not found, incomplete strategy
% 6.62/2.20 % (805672)------------------------------
% 6.62/2.20 % (805672)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.62/2.20 % (805672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.62/2.20 % (805672)CaDiCaL version: 2.1.3
% 6.62/2.20 % (805672)Termination reason: Refutation not found, incomplete strategy
% 6.62/2.20 % (805672)Time elapsed: 0.054 s
% 6.62/2.20 % (805672)Peak memory usage: 94 MB
% 6.62/2.20 % (805672)Instructions burned: 57 (million)
% 6.62/2.20 % (805673)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3403075297:i=325:sd=1:ss=axioms:sgt=32_2993 on theBenchmark for (2993ds/325Mi)
% 6.62/2.20 % (805673)Refutation not found, incomplete strategy
% 6.62/2.20 % (805673)------------------------------
% 6.62/2.20 % (805673)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.62/2.20 % (805673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.62/2.20 % (805673)CaDiCaL version: 2.1.3
% 6.62/2.20 % (805673)Termination reason: Refutation not found, incomplete strategy
% 6.62/2.20 % (805673)Time elapsed: 0.014 s
% 6.62/2.20 % (805673)Peak memory usage: 94 MB
% 6.62/2.20 % (805673)Instructions burned: 19 (million)
% 6.62/2.20 % (805661)Refutation found. Thanks to Tanya!
% 6.62/2.20 % SZS status Theorem for theBenchmark
% 6.62/2.20 % SZS output start Proof for theBenchmark
% See solution above
% 6.62/2.20 % (805661)------------------------------
% 6.62/2.20 % (805661)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.62/2.20 % (805661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.62/2.20 % (805661)CaDiCaL version: 2.1.3
% 6.62/2.20 % (805661)Termination reason: Refutation
% 6.62/2.20 % (805661)Time elapsed: 0.039 s
% 6.62/2.20 % (805661)Peak memory usage: 95 MB
% 6.62/2.20 % (805661)Instructions burned: 36 (million)
% 6.62/2.20 % (805661)------------------------------
% 6.62/2.20 % (805661)------------------------------
% 6.62/2.20 % (805650)Success in time 0.916 s
% 6.62/2.20 % Vampire exiting
%------------------------------------------------------------------------------