%------------------------------------------------------------------------------
% File : Vampire-SAT---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 SAT
% 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 02:34:23 PM UTC 2026
% Result : Theorem 0.11s 0.26s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 6
% Syntax : Number of formulae : 50 ( 10 unt; 0 def)
% Number of atoms : 195 ( 4 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 251 ( 106 ~; 103 |; 31 &)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 63 ( 56 !; 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(f61,axiom,
! [X0] :
( v1_xboole_0(X0)
=> X0 = k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
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(f82,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(f83,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,[],[f82]) ).
fof(f132,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(f133,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,[],[f132]) ).
fof(f137,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(f138,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,[],[f137]) ).
fof(f143,plain,
! [X0] :
( X0 = k1_xboole_0
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f61]) ).
fof(f146,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(f147,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,[],[f146]) ).
fof(f152,plain,
( ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK2)))
| ~ v1_tsp_2(X1,sK2) )
& ~ v3_struct_0(sK2)
& v2_pre_topc(sK2)
& l1_pre_topc(sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X0,sK2)],[f83]) ).
fof(f161,plain,
! [X0] :
( m1_subset_1(sK9(X0),k1_zfmisc_1(X0))
& v1_xboole_0(sK9(X0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X1,sK9(X0))],[f44]) ).
fof(f171,plain,
! [X0] :
( ! [X1] :
( ~ v1_tsp_1(X1,X0)
| ( r1_tarski(X1,sK18(X0,X1))
& v1_tsp_2(sK18(X0,X1),X0)
& m1_subset_1(sK18(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,[sK18]),skolemize(X2,sK18(X0,X1))],[f147]) ).
fof(f172,plain,
l1_pre_topc(sK2),
inference(cnf_transformation,[],[f152]) ).
fof(f173,plain,
v2_pre_topc(sK2),
inference(cnf_transformation,[],[f152]) ).
fof(f174,plain,
~ v3_struct_0(sK2),
inference(cnf_transformation,[],[f152]) ).
fof(f175,plain,
! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK2)))
| ~ v1_tsp_2(X1,sK2) ),
inference(cnf_transformation,[],[f152]) ).
fof(f263,plain,
! [X0] : v1_xboole_0(sK9(X0)),
inference(cnf_transformation,[],[f161]) ).
fof(f264,plain,
! [X0] : m1_subset_1(sK9(X0),k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f161]) ).
fof(f302,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,[],[f133]) ).
fof(f305,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,[],[f138]) ).
fof(f309,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f143]) ).
fof(f312,plain,
! [X0,X1] :
( m1_subset_1(sK18(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,[],[f171]) ).
fof(f313,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_tsp_2(sK18(X0,X1),X0)
| ~ v1_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f171]) ).
fof(f370,plain,
! [X0] : k1_xboole_0 = sK9(X0),
inference(resolution,[],[f309,f263]) ).
fof(f1010,plain,
! [X0] :
( ~ v3_tex_2(sK9(u1_struct_0(X0)),X0)
| v1_tsp_1(sK9(u1_struct_0(X0)),X0)
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(resolution,[],[f302,f264]) ).
fof(f1026,plain,
! [X0] :
( ~ v3_tex_2(k1_xboole_0,X0)
| v1_tsp_1(sK9(u1_struct_0(X0)),X0)
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(forward_demodulation,[],[f1010,f370]) ).
fof(f1028,plain,
! [X0] :
( ~ v3_tex_2(k1_xboole_0,X0)
| v1_tsp_1(k1_xboole_0,X0)
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(forward_demodulation,[],[f1026,f370]) ).
fof(f1035,plain,
! [X0] :
( ~ v1_xboole_0(sK9(u1_struct_0(X0)))
| v3_tex_2(sK9(u1_struct_0(X0)),X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(resolution,[],[f305,f264]) ).
fof(f1052,plain,
! [X0] :
( v3_tex_2(sK9(u1_struct_0(X0)),X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[],[f1035,f263]) ).
fof(f1055,plain,
! [X0] :
( v3_tex_2(k1_xboole_0,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(forward_demodulation,[],[f1052,f370]) ).
fof(f1173,plain,
! [X0] :
( ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK2)))
| v3_struct_0(sK2)
| ~ v2_pre_topc(sK2)
| ~ l1_pre_topc(sK2)
| ~ v1_tsp_2(sK18(sK2,X0),sK2) ),
inference(resolution,[],[f312,f175]) ).
fof(f1215,plain,
! [X0] :
( ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK2)))
| v3_struct_0(sK2)
| ~ v2_pre_topc(sK2)
| ~ l1_pre_topc(sK2) ),
inference(forward_subsumption_resolution,[],[f1173,f313]) ).
fof(f1216,plain,
! [X0] :
( ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK2)))
| ~ v2_pre_topc(sK2)
| ~ l1_pre_topc(sK2) ),
inference(forward_subsumption_resolution,[],[f1215,f174]) ).
fof(f1217,plain,
! [X0] :
( ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK2)))
| ~ l1_pre_topc(sK2) ),
inference(forward_subsumption_resolution,[],[f1216,f173]) ).
fof(f1218,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK2)))
| ~ v1_tsp_1(X0,sK2) ),
inference(forward_subsumption_resolution,[],[f1217,f172]) ).
fof(f1225,plain,
~ v1_tsp_1(sK9(u1_struct_0(sK2)),sK2),
inference(resolution,[],[f1218,f264]) ).
fof(f1241,plain,
~ v1_tsp_1(k1_xboole_0,sK2),
inference(forward_demodulation,[],[f1225,f370]) ).
fof(f1760,plain,
! [X0] :
( v1_tsp_1(k1_xboole_0,X0)
| v3_struct_0(X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(resolution,[],[f1028,f1055]) ).
fof(f1761,plain,
! [X0] :
( v1_tsp_1(k1_xboole_0,X0)
| v3_struct_0(X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(duplicate_literal_removal,[],[f1760]) ).
fof(f1849,plain,
( v3_struct_0(sK2)
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2) ),
inference(resolution,[],[f1761,f1241]) ).
fof(f1850,plain,
( ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2) ),
inference(forward_subsumption_resolution,[],[f1849,f174]) ).
fof(f1851,plain,
~ v2_pre_topc(sK2),
inference(forward_subsumption_resolution,[],[f1850,f172]) ).
fof(f1852,plain,
$false,
inference(forward_subsumption_resolution,[],[f1851,f173]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : TOP028+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.17 % Computer : n013.cluster.edu
% 0.11/0.17 % Model : x86_64 x86_64
% 0.11/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.17 % Memory : 8046.5625MB
% 0.11/0.17 % OS : Linux 6.8.0-71-generic
% 0.11/0.17 % CPULimit : 300
% 0.11/0.17 % WCLimit : 300
% 0.11/0.17 % DateTime : Mon Sep 28 18:53:06 UTC 2026
% 0.11/0.17 % CPUTime :
% 0.11/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.20 Running first-order model finding
% 0.11/0.20 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.26 % (1443690)Will run a generic schedule for satisfiability detection.
% 0.11/0.26 % (1443698)dis+10_1_sil=32000:sp=arity:random_seed=344391077:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.11/0.26 % (1443695)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1021321256_2999 on theBenchmark for (2999ds/0Mi)
% 0.11/0.26 % (1443697)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=293874651:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.11/0.26 % (1443699)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=408461346:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.11/0.26 % (1443700)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=137843673:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.11/0.26 % (1443701)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3253658449:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.11/0.26 % (1443696)% WARNING: option uhcvi not known.
% 0.11/0.26 % TRYING [1]
% 0.11/0.26 % (1443696)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3890577310:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.11/0.26 % TRYING [2]
% 0.11/0.26 % TRYING [3]
% 0.11/0.26 % TRYING [4]
% 0.11/0.26 % (1443698) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1443690-1443698"...
% 0.11/0.26 % (1443698)...printing done.
% 0.11/0.26 % (1443698)Refutation found. Thanks to Tanya!
% 0.11/0.26 % SZS status Theorem for theBenchmark
% 0.11/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.26 % (1443698)------------------------------
% 0.11/0.26 % (1443698)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.26 % (1443698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.26 % (1443698)CaDiCaL version: 2.1.3
% 0.11/0.26 % (1443698)Termination reason: Refutation
% 0.11/0.26 % (1443698)Time elapsed: 0.019 s
% 0.11/0.26 % (1443698)Peak memory usage: 12 MB
% 0.11/0.26 % (1443698)Instructions burned: 55 (million)
% 0.11/0.26 % (1443690)Success in time 0.052 s
% 0.11/0.26 % Vampire exiting
%------------------------------------------------------------------------------