%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : TOP028+1 : 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 : n009.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 02:33:55 PM UTC 2026
% Result : Theorem 2.61s 1.04s
% Output : Refutation 2.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 5
% Syntax : Number of formulae : 43 ( 9 unt; 0 def)
% Number of atoms : 171 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 225 ( 97 ~; 87 |; 31 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 54 ( 47 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ? [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& v1_tsp_2(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_tsp_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ? [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& v1_tsp_2(X1,X0) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f44,axiom,
! [X0] :
? [X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
& v1_xboole_0(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_subset_1) ).
fof(f54,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( v3_tex_2(X1,X0)
=> v1_tsp_1(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_tsp_1) ).
fof(f57,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( ( v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> v3_tex_2(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t35_tex_2) ).
fof(f64,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ~ ( v1_tsp_1(X1,X0)
& ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> ~ ( r1_tarski(X1,X2)
& v1_tsp_2(X2,X0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_tsp_2) ).
fof(f69,plain,
? [X0] :
( ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_tsp_2(X1,X0) )
& ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f70,plain,
? [X0] :
( ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_tsp_2(X1,X0) )
& ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) ),
inference(flattening,[],[f69]) ).
fof(f73,plain,
! [X0] :
( ! [X1] :
( ~ v1_tsp_1(X1,X0)
| ? [X2] :
( r1_tarski(X1,X2)
& v1_tsp_2(X2,X0)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f64]) ).
fof(f74,plain,
! [X0] :
( ! [X1] :
( ~ v1_tsp_1(X1,X0)
| ? [X2] :
( r1_tarski(X1,X2)
& v1_tsp_2(X2,X0)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f73]) ).
fof(f79,plain,
! [X0] :
( ! [X1] :
( v1_tsp_1(X1,X0)
| ~ v3_tex_2(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f80,plain,
! [X0] :
( ! [X1] :
( v1_tsp_1(X1,X0)
| ~ v3_tex_2(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f79]) ).
fof(f81,plain,
! [X0] :
( ! [X1] :
( v3_tex_2(X1,X0)
| ~ v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f82,plain,
! [X0] :
( ! [X1] :
( v3_tex_2(X1,X0)
| ~ v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f81]) ).
fof(f83,plain,
( ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_tsp_2(X1,sK0) )
& ~ v3_struct_0(sK0)
& v2_pre_topc(sK0)
& l1_pre_topc(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f70]) ).
fof(f87,plain,
! [X0] :
( ! [X1] :
( ~ v1_tsp_1(X1,X0)
| ( r1_tarski(X1,sK4(X0,X1))
& v1_tsp_2(sK4(X0,X1),X0)
& m1_subset_1(sK4(X0,X1),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X2,sK4(X0,X1))],[f74]) ).
fof(f88,plain,
! [X0] :
( m1_subset_1(sK5(X0),k1_zfmisc_1(X0))
& v1_xboole_0(sK5(X0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X1,sK5(X0))],[f44]) ).
fof(f91,plain,
l1_pre_topc(sK0),
inference(cnf_transformation,[],[f83]) ).
fof(f92,plain,
v2_pre_topc(sK0),
inference(cnf_transformation,[],[f83]) ).
fof(f93,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f83]) ).
fof(f94,plain,
! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_tsp_2(X1,sK0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f99,plain,
! [X0,X1] :
( m1_subset_1(sK4(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_tsp_1(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f100,plain,
! [X0,X1] :
( v1_tsp_2(sK4(X0,X1),X0)
| ~ v1_tsp_1(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f102,plain,
! [X0] : v1_xboole_0(sK5(X0)),
inference(cnf_transformation,[],[f88]) ).
fof(f103,plain,
! [X0] : m1_subset_1(sK5(X0),k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f88]) ).
fof(f110,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v3_tex_2(X1,X0)
| v1_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f111,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_xboole_0(X1)
| v3_tex_2(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f127,plain,
! [X0] :
( v1_tsp_1(sK5(u1_struct_0(X0)),X0)
| ~ v3_tex_2(sK5(u1_struct_0(X0)),X0)
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(resolution,[],[f110,f103]) ).
fof(f136,plain,
! [X0] :
( ~ v1_xboole_0(sK5(u1_struct_0(X0)))
| v3_tex_2(sK5(u1_struct_0(X0)),X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(resolution,[],[f111,f103]) ).
fof(f141,plain,
! [X0] :
( v3_tex_2(sK5(u1_struct_0(X0)),X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[],[f136,f102]) ).
fof(f142,plain,
! [X0] :
( ~ v1_tsp_1(X0,sK0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| ~ v1_tsp_2(sK4(sK0,X0),sK0) ),
inference(resolution,[],[f99,f94]) ).
fof(f147,plain,
! [X0] :
( ~ v1_tsp_1(X0,sK0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0) ),
inference(forward_subsumption_resolution,[],[f142,f100]) ).
fof(f148,plain,
! [X0] :
( ~ v1_tsp_1(X0,sK0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0) ),
inference(forward_subsumption_resolution,[],[f147,f93]) ).
fof(f149,plain,
! [X0] :
( ~ v1_tsp_1(X0,sK0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ l1_pre_topc(sK0) ),
inference(forward_subsumption_resolution,[],[f148,f92]) ).
fof(f150,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_tsp_1(X0,sK0) ),
inference(forward_subsumption_resolution,[],[f149,f91]) ).
fof(f155,plain,
~ v1_tsp_1(sK5(u1_struct_0(sK0)),sK0),
inference(resolution,[],[f150,f103]) ).
fof(f176,plain,
( ~ v3_tex_2(sK5(u1_struct_0(sK0)),sK0)
| v3_struct_0(sK0)
| ~ l1_pre_topc(sK0) ),
inference(resolution,[],[f155,f127]) ).
fof(f177,plain,
( ~ v3_tex_2(sK5(u1_struct_0(sK0)),sK0)
| ~ l1_pre_topc(sK0) ),
inference(forward_subsumption_resolution,[],[f176,f93]) ).
fof(f178,plain,
~ v3_tex_2(sK5(u1_struct_0(sK0)),sK0),
inference(forward_subsumption_resolution,[],[f177,f91]) ).
fof(f179,plain,
( v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0) ),
inference(resolution,[],[f178,f141]) ).
fof(f180,plain,
( ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0) ),
inference(forward_subsumption_resolution,[],[f179,f93]) ).
fof(f181,plain,
~ l1_pre_topc(sK0),
inference(forward_subsumption_resolution,[],[f180,f92]) ).
fof(f182,plain,
$false,
inference(forward_subsumption_resolution,[],[f181,f91]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : TOP028+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.17 % Computer : n009.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
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Mon Sep 28 18:53:45 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.20 Running first-order theorem proving
% 0.07/0.20 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
% 2.61/1.04 % (3348119)Detected formulas, will run a generic FOF schedule.
% 2.61/1.04 % (3348375)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2004891706:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.61/1.04 % (3348375)First to succeed.
% 2.61/1.04 % (3348375)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3348119"
% 2.61/1.04 % (3348377)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=459284264:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.61/1.04 % (3348373)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=47417532:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.61/1.04 % (3348371)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=2435999794:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.61/1.04 % (3348367)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=1210298973:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.61/1.04 % (3348369)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=3845347404:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.61/1.04 % (3348373)Refutation not found, incomplete strategy
% 2.61/1.04 % (3348373)------------------------------
% 2.61/1.04 % (3348373)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.61/1.04 % (3348373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/1.04 % (3348373)CaDiCaL version: 2.1.3
% 2.61/1.04 % (3348373)Termination reason: Refutation not found, incomplete strategy
% 2.61/1.04 % (3348373)Time elapsed: 0.001 s
% 2.61/1.04 % (3348373)Peak memory usage: 87 MB
% 2.61/1.04 % (3348378)dis-21_1_sil=8000:lcm=predicate:random_seed=1236424160: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)
% 2.61/1.04 % (3348377)Also succeeded, but the first one will report.
% 2.61/1.04 % (3348378)Instruction limit reached!
% 2.61/1.04 % (3348378)------------------------------
% 2.61/1.04 % (3348378)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.61/1.04 % (3348378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/1.04 % (3348378)CaDiCaL version: 2.1.3
% 2.61/1.04 % (3348378)Termination reason: Instruction limit
% 2.61/1.04 % (3348378)Termination phase: Saturation
% 2.61/1.04 % (3348378)Time elapsed: 0.073 s
% 2.61/1.04 % (3348378)Peak memory usage: 90 MB
% 2.61/1.04 % (3348378)Instructions burned: 130 (million)
% 2.61/1.04 % (3348375)Refutation found. Thanks to Tanya!
% 2.61/1.04 % SZS status Theorem for theBenchmark
% 2.61/1.04 % SZS output start Proof for theBenchmark
% See solution above
% 2.61/1.04 % (3348375)------------------------------
% 2.61/1.04 % (3348375)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.61/1.04 % (3348375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/1.04 % (3348375)CaDiCaL version: 2.1.3
% 2.61/1.04 % (3348375)Termination reason: Refutation
% 2.61/1.04 % (3348375)Time elapsed: 0.002 s
% 2.61/1.04 % (3348375)Peak memory usage: 88 MB
% 2.61/1.04 % (3348375)Instructions burned: 4 (million)
% 2.61/1.04 % (3348375)------------------------------
% 2.61/1.04 % (3348375)------------------------------
% 2.61/1.04 % (3348119)Success in time 0.294 s
% 2.61/1.04 % Vampire exiting
%------------------------------------------------------------------------------