%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : TOP034+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 : n011.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 02:34:25 PM UTC 2026
% Result : Theorem 0.19s 0.34s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 4
% Syntax : Number of formulae : 40 ( 9 unt; 0 def)
% Number of atoms : 251 ( 0 equ)
% Maximal formula atoms : 16 ( 6 avg)
% Number of connectives : 342 ( 131 ~; 146 |; 51 &)
% ( 5 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 59 ( 49 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_tsp_2(X1,X0)
& m2_tsp_1(X1,X0) )
=> r1_borsuk_1(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_tsp_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_tsp_2(X1,X0)
& m2_tsp_1(X1,X0) )
=> r1_borsuk_1(X0,X1) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f50,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& m1_pre_topc(X1,X0) )
=> ( r1_borsuk_1(X0,X1)
<=> ? [X2] :
( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v3_borsuk_1(X2,X0,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d20_borsuk_1) ).
fof(f86,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m2_tsp_1(X1,X0)
<=> m1_pre_topc(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_tsp_1) ).
fof(f89,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_tsp_2(X1,X0)
& m2_tsp_1(X1,X0) )
=> ? [X2] :
( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v3_borsuk_1(X2,X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t22_tsp_2) ).
fof(f127,plain,
? [X0] :
( ? [X1] :
( ~ r1_borsuk_1(X0,X1)
& ~ v3_struct_0(X1)
& v2_tsp_2(X1,X0)
& m2_tsp_1(X1,X0) )
& ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f128,plain,
? [X0] :
( ? [X1] :
( ~ r1_borsuk_1(X0,X1)
& ~ v3_struct_0(X1)
& v2_tsp_2(X1,X0)
& m2_tsp_1(X1,X0) )
& ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) ),
inference(flattening,[],[f127]) ).
fof(f190,plain,
! [X0] :
( ! [X1] :
( ( r1_borsuk_1(X0,X1)
<=> ? [X2] :
( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v3_borsuk_1(X2,X0,X1) ) )
| v3_struct_0(X1)
| ~ m1_pre_topc(X1,X0) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f191,plain,
! [X0] :
( ! [X1] :
( ( r1_borsuk_1(X0,X1)
<=> ? [X2] :
( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v3_borsuk_1(X2,X0,X1) ) )
| v3_struct_0(X1)
| ~ m1_pre_topc(X1,X0) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f190]) ).
fof(f218,plain,
! [X0] :
( ! [X1] :
( m2_tsp_1(X1,X0)
<=> m1_pre_topc(X1,X0) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f86]) ).
fof(f220,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v3_borsuk_1(X2,X0,X1) )
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f89]) ).
fof(f221,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v3_borsuk_1(X2,X0,X1) )
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f220]) ).
fof(f231,plain,
m2_tsp_1(sK1,sK0),
inference(cnf_transformation,[],[f128]) ).
fof(f232,plain,
v2_tsp_2(sK1,sK0),
inference(cnf_transformation,[],[f128]) ).
fof(f233,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f128]) ).
fof(f234,plain,
~ r1_borsuk_1(sK0,sK1),
inference(cnf_transformation,[],[f128]) ).
fof(f235,plain,
l1_pre_topc(sK0),
inference(cnf_transformation,[],[f128]) ).
fof(f236,plain,
v2_pre_topc(sK0),
inference(cnf_transformation,[],[f128]) ).
fof(f237,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f128]) ).
fof(f308,plain,
! [X2,X0,X1] :
( ~ v3_borsuk_1(X2,X0,X1)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m1_pre_topc(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| r1_borsuk_1(X0,X1) ),
inference(cnf_transformation,[],[f191]) ).
fof(f379,plain,
! [X0,X1] :
( ~ m2_tsp_1(X1,X0)
| m1_pre_topc(X1,X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f218]) ).
fof(f382,plain,
! [X0,X1] :
( v3_borsuk_1(sK22(X0,X1),X0,X1)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f221]) ).
fof(f383,plain,
! [X0,X1] :
( m2_relset_1(sK22(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f221]) ).
fof(f384,plain,
! [X0,X1] :
( v5_pre_topc(sK22(X0,X1),X0,X1)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f221]) ).
fof(f385,plain,
! [X0,X1] :
( v1_funct_2(sK22(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f221]) ).
fof(f386,plain,
! [X0,X1] :
( v1_funct_1(sK22(X0,X1))
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f221]) ).
fof(f662,plain,
! [X0,X1] :
( ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m1_pre_topc(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ m2_relset_1(sK22(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(sK22(X0,X1),X0,X1)
| ~ v1_funct_2(sK22(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(sK22(X0,X1))
| r1_borsuk_1(X0,X1)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0) ),
inference(resolution,[],[f308,f382]) ).
fof(f663,plain,
! [X0,X1] :
( ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m1_pre_topc(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ m2_relset_1(sK22(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(sK22(X0,X1),X0,X1)
| ~ v1_funct_2(sK22(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(sK22(X0,X1))
| r1_borsuk_1(X0,X1)
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0) ),
inference(duplicate_literal_removal,[],[f662]) ).
fof(f664,plain,
! [X0,X1] :
( ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ m2_relset_1(sK22(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(sK22(X0,X1),X0,X1)
| ~ v1_funct_2(sK22(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(sK22(X0,X1))
| r1_borsuk_1(X0,X1)
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0) ),
inference(forward_subsumption_resolution,[],[f663,f379]) ).
fof(f665,plain,
! [X0,X1] :
( ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v5_pre_topc(sK22(X0,X1),X0,X1)
| ~ v1_funct_2(sK22(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(sK22(X0,X1))
| r1_borsuk_1(X0,X1)
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0) ),
inference(forward_subsumption_resolution,[],[f664,f383]) ).
fof(f666,plain,
! [X0,X1] :
( ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v1_funct_2(sK22(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(sK22(X0,X1))
| r1_borsuk_1(X0,X1)
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0) ),
inference(forward_subsumption_resolution,[],[f665,f384]) ).
fof(f667,plain,
! [X0,X1] :
( ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v1_funct_1(sK22(X0,X1))
| r1_borsuk_1(X0,X1)
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0) ),
inference(forward_subsumption_resolution,[],[f666,f385]) ).
fof(f668,plain,
! [X0,X1] :
( r1_borsuk_1(X0,X1)
| v3_struct_0(X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0) ),
inference(forward_subsumption_resolution,[],[f667,f386]) ).
fof(f846,plain,
( v3_struct_0(sK0)
| v3_struct_0(sK1)
| ~ l1_pre_topc(sK0)
| ~ v2_pre_topc(sK0)
| ~ m2_tsp_1(sK1,sK0)
| ~ v2_tsp_2(sK1,sK0) ),
inference(resolution,[],[f668,f234]) ).
fof(f850,plain,
( v3_struct_0(sK1)
| ~ l1_pre_topc(sK0)
| ~ v2_pre_topc(sK0)
| ~ m2_tsp_1(sK1,sK0)
| ~ v2_tsp_2(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f846,f237]) ).
fof(f851,plain,
( ~ l1_pre_topc(sK0)
| ~ v2_pre_topc(sK0)
| ~ m2_tsp_1(sK1,sK0)
| ~ v2_tsp_2(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f850,f233]) ).
fof(f852,plain,
( ~ v2_pre_topc(sK0)
| ~ m2_tsp_1(sK1,sK0)
| ~ v2_tsp_2(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f851,f235]) ).
fof(f853,plain,
( ~ m2_tsp_1(sK1,sK0)
| ~ v2_tsp_2(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f852,f236]) ).
fof(f854,plain,
~ v2_tsp_2(sK1,sK0),
inference(forward_subsumption_resolution,[],[f853,f231]) ).
fof(f855,plain,
$false,
inference(forward_subsumption_resolution,[],[f854,f232]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : TOP034+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.25 % Computer : n011.cluster.edu
% 0.09/0.25 % Model : x86_64 x86_64
% 0.09/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.25 % Memory : 8046.5625MB
% 0.09/0.25 % OS : Linux 6.8.0-71-generic
% 0.09/0.25 % CPULimit : 300
% 0.09/0.25 % WCLimit : 300
% 0.09/0.25 % DateTime : Mon Sep 28 18:57:46 UTC 2026
% 0.09/0.25 % CPUTime :
% 0.09/0.25 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.19/0.28 Running first-order model finding
% 0.19/0.28 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
% 0.19/0.34 % (3656559)Will run a generic schedule for satisfiability detection.
% 0.19/0.34 % (3656567)dis+10_1_sil=32000:sp=arity:random_seed=1675180777:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.34 % (3656565)% WARNING: option uhcvi not known.
% 0.19/0.34 % (3656564)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2577115536_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.34 % (3656565)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2582830285:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.34 % (3656566)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1556057516:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.34 % (3656568)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1297859335:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.34 % (3656569)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3911450401:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.34 % (3656570)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2083159365:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.34 % TRYING [1]
% 0.19/0.34 % TRYING [2]
% 0.19/0.34 % TRYING [3]
% 0.19/0.34 % TRYING [4]
% 0.19/0.34 % (3656568) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3656559-3656568"...
% 0.19/0.34 % (3656568)...printing done.
% 0.19/0.34 % (3656568)Refutation found. Thanks to Tanya!
% 0.19/0.34 % SZS status Theorem for theBenchmark
% 0.19/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.34 % (3656568)------------------------------
% 0.19/0.34 % (3656568)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.34 % (3656568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.34 % (3656568)CaDiCaL version: 2.1.3
% 0.19/0.34 % (3656568)Termination reason: Refutation
% 0.19/0.34 % (3656568)Time elapsed: 0.016 s
% 0.19/0.34 % (3656568)Peak memory usage: 12 MB
% 0.19/0.34 % (3656568)Instructions burned: 24 (million)
% 0.19/0.34 % (3656559)Success in time 0.051 s
% 0.19/0.34 % Vampire exiting
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