%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU104+1 : TPTP v9.3.1. Released v3.2.0.
% 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 12:51:56 PM UTC 2026
% Result : Theorem 0.18s 0.48s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 6
% Syntax : Number of formulae : 46 ( 11 unt; 2 def)
% Number of atoms : 117 ( 2 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 122 ( 51 ~; 44 |; 12 &)
% ( 5 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-2 aty)
% Number of variables : 47 ( 0 sgn 45 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f28,axiom,
! [X0] :
( preboolean(X0)
<=> ! [X1,X2] :
( ( in(X1,X0)
& in(X2,X0) )
=> ( in(set_union2(X1,X2),X0)
& in(set_difference(X1,X2),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_finsub_1) ).
fof(f29,conjecture,
! [X0] :
( ~ empty(X0)
=> ( ! [X1] :
( element(X1,X0)
=> ! [X2] :
( element(X2,X0)
=> ( in(symmetric_difference(X1,X2),X0)
& in(set_difference(X1,X2),X0) ) ) )
=> preboolean(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_finsub_1) ).
fof(f30,negated_conjecture,
~ ! [X0] :
( ~ empty(X0)
=> ( ! [X1] :
( element(X1,X0)
=> ! [X2] :
( element(X2,X0)
=> ( in(symmetric_difference(X1,X2),X0)
& in(set_difference(X1,X2),X0) ) ) )
=> preboolean(X0) ) ),
inference(negated_conjecture,[status(cth)],[f29]) ).
fof(f32,axiom,
! [X0,X1] :
( in(X0,X1)
=> element(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(f43,axiom,
! [X0,X1] : set_union2(X0,X1) = symmetric_difference(X0,set_difference(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t98_xboole_1) ).
fof(f71,plain,
! [X0] :
( preboolean(X0)
<=> ! [X1,X2] :
( ( in(set_union2(X1,X2),X0)
& in(set_difference(X1,X2),X0) )
| ~ in(X1,X0)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f28]) ).
fof(f72,plain,
! [X0] :
( preboolean(X0)
<=> ! [X1,X2] :
( ( in(set_union2(X1,X2),X0)
& in(set_difference(X1,X2),X0) )
| ~ in(X1,X0)
| ~ in(X2,X0) ) ),
inference(flattening,[],[f71]) ).
fof(f73,plain,
? [X0] :
( ~ preboolean(X0)
& ! [X1] :
( ! [X2] :
( ( in(symmetric_difference(X1,X2),X0)
& in(set_difference(X1,X2),X0) )
| ~ element(X2,X0) )
| ~ element(X1,X0) )
& ~ empty(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f74,plain,
? [X0] :
( ~ preboolean(X0)
& ! [X1] :
( ! [X2] :
( ( in(symmetric_difference(X1,X2),X0)
& in(set_difference(X1,X2),X0) )
| ~ element(X2,X0) )
| ~ element(X1,X0) )
& ~ empty(X0) ),
inference(flattening,[],[f73]) ).
fof(f75,plain,
! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f32]) ).
fof(f125,plain,
! [X0] :
( ~ in(set_difference(sK10(X0),sK11(X0)),X0)
| ~ in(set_union2(sK10(X0),sK11(X0)),X0)
| preboolean(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f128,plain,
! [X0] :
( preboolean(X0)
| in(sK11(X0),X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f129,plain,
! [X0] :
( preboolean(X0)
| in(sK10(X0),X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f130,plain,
! [X2,X1] :
( ~ element(X1,sK12)
| ~ element(X2,sK12)
| in(set_difference(X1,X2),sK12) ),
inference(cnf_transformation,[],[f74]) ).
fof(f131,plain,
! [X2,X1] :
( ~ element(X1,sK12)
| ~ element(X2,sK12)
| in(symmetric_difference(X1,X2),sK12) ),
inference(cnf_transformation,[],[f74]) ).
fof(f133,plain,
~ preboolean(sK12),
inference(cnf_transformation,[],[f74]) ).
fof(f135,plain,
! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f75]) ).
fof(f146,plain,
! [X0,X1] : set_union2(X0,X1) = symmetric_difference(X0,set_difference(X1,X0)),
inference(cnf_transformation,[],[f43]) ).
fof(f154,plain,
! [X0] :
( preboolean(X0)
| ~ in(symmetric_difference(sK10(X0),set_difference(sK11(X0),sK10(X0))),X0)
| ~ in(set_difference(sK10(X0),sK11(X0)),X0) ),
inference(definition_unfolding,[],[f125,f146]) ).
fof(f182,plain,
in(sK11(sK12),sK12),
inference(resolution,[],[f128,f133]) ).
fof(f186,plain,
in(sK10(sK12),sK12),
inference(resolution,[],[f129,f133]) ).
fof(f190,plain,
! [X0,X1] :
( ~ element(X1,sK12)
| ~ in(X0,sK12)
| in(set_difference(X0,X1),sK12) ),
inference(resolution,[],[f135,f130]) ).
fof(f192,plain,
! [X0,X1] :
( ~ element(X1,sK12)
| ~ in(X0,sK12)
| in(symmetric_difference(X0,X1),sK12) ),
inference(resolution,[],[f135,f131]) ).
fof(f314,plain,
! [X0,X1] :
( in(set_difference(X0,X1),sK12)
| ~ in(X0,sK12)
| ~ in(X1,sK12) ),
inference(resolution,[],[f190,f135]) ).
fof(f351,plain,
! [X0,X1] :
( in(symmetric_difference(X0,X1),sK12)
| ~ in(X0,sK12)
| ~ in(X1,sK12) ),
inference(resolution,[],[f192,f135]) ).
fof(f429,plain,
( ~ in(symmetric_difference(sK10(sK12),set_difference(sK11(sK12),sK10(sK12))),sK12)
| ~ in(set_difference(sK10(sK12),sK11(sK12)),sK12) ),
inference(resolution,[],[f154,f133]) ).
fof(f433,definition,
( spl13_5
<=> in(set_difference(sK10(sK12),sK11(sK12)),sK12) ),
introduced(definition,[new_symbols(definition,[spl13_5])],[avatar_definition]) ).
fof(f435,plain,
( ~ in(set_difference(sK10(sK12),sK11(sK12)),sK12)
| spl13_5 ),
inference(avatar_component_clause,[],[f433]) ).
fof(f437,definition,
( spl13_6
<=> in(symmetric_difference(sK10(sK12),set_difference(sK11(sK12),sK10(sK12))),sK12) ),
introduced(definition,[new_symbols(definition,[spl13_6])],[avatar_definition]) ).
fof(f439,plain,
( ~ in(symmetric_difference(sK10(sK12),set_difference(sK11(sK12),sK10(sK12))),sK12)
| spl13_6 ),
inference(avatar_component_clause,[],[f437]) ).
fof(f440,plain,
( ~ spl13_5
| ~ spl13_6 ),
inference(avatar_split_clause,[],[f429,f437,f433]) ).
fof(f441,plain,
( ~ in(sK10(sK12),sK12)
| ~ in(sK11(sK12),sK12)
| spl13_5 ),
inference(resolution,[],[f435,f314]) ).
fof(f442,plain,
( ~ in(sK11(sK12),sK12)
| spl13_5 ),
inference(forward_subsumption_resolution,[],[f441,f186]) ).
fof(f443,plain,
( $false
| spl13_5 ),
inference(forward_subsumption_resolution,[],[f442,f182]) ).
fof(f444,plain,
spl13_5,
inference(avatar_contradiction_clause,[],[f443]) ).
fof(f448,plain,
( ~ in(sK10(sK12),sK12)
| ~ in(set_difference(sK11(sK12),sK10(sK12)),sK12)
| spl13_6 ),
inference(resolution,[],[f439,f351]) ).
fof(f449,plain,
( ~ in(set_difference(sK11(sK12),sK10(sK12)),sK12)
| spl13_6 ),
inference(forward_subsumption_resolution,[],[f448,f186]) ).
fof(f450,plain,
( ~ in(sK11(sK12),sK12)
| ~ in(sK10(sK12),sK12)
| spl13_6 ),
inference(resolution,[],[f449,f314]) ).
fof(f451,plain,
( ~ in(sK10(sK12),sK12)
| spl13_6 ),
inference(forward_subsumption_resolution,[],[f450,f182]) ).
fof(f452,plain,
( $false
| spl13_6 ),
inference(forward_subsumption_resolution,[],[f451,f186]) ).
fof(f453,plain,
spl13_6,
inference(avatar_contradiction_clause,[],[f452]) ).
cnf(s5,plain,
( ~ spl13_5
| ~ spl13_6 ),
inference(sat_conversion,[],[f440]) ).
cnf(s6,plain,
spl13_5,
inference(sat_conversion,[],[f444]) ).
cnf(s7,plain,
spl13_6,
inference(sat_conversion,[],[f453]) ).
cnf(s8,plain,
$false,
inference(rat,[],[s5,s7,s6]) ).
fof(f454,plain,
$false,
inference(avatar_sat_refutation,[],[s8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU104+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n011.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Mon Sep 28 03:35:10 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 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
% 0.18/0.48 % (2989796)Will run a generic schedule for satisfiability detection.
% 0.18/0.48 % (2989803)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1700601754:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.48 % (2989802)% WARNING: option uhcvi not known.
% 0.18/0.48 % (2989804)dis+10_1_sil=32000:sp=arity:random_seed=122057967:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.48 % (2989801)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3592387101_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.48 % (2989806)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2422190594:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.48 % (2989802)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1553091147:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.48 % (2989805)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2511116485:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.48 % (2989807)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2795445783:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.48 % TRYING [1]
% 0.18/0.48 % TRYING [2]
% 0.18/0.48 % TRYING [3]
% 0.18/0.48 % TRYING [4]
% 0.18/0.48 % (2989805) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2989796-2989805"...
% 0.18/0.48 % (2989804) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2989796-2989804"...
% 0.18/0.48 % (2989802) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2989796-2989802"...
% 0.18/0.48 % (2989805)...printing done.
% 0.18/0.48 % (2989804)...printing done.
% 0.18/0.48 % (2989805)Refutation found. Thanks to Tanya!
% 0.18/0.48 % SZS status Theorem for theBenchmark
% 0.18/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.48 % (2989805)------------------------------
% 0.18/0.48 % (2989805)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.49 % (2989805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.49 % (2989805)CaDiCaL version: 2.1.3
% 0.18/0.49 % (2989805)Termination reason: Refutation
% 0.18/0.49 % (2989805)Time elapsed: 0.011 s
% 0.18/0.49 % (2989805)Peak memory usage: 13 MB
% 0.18/0.49 % (2989805)Instructions burned: 14 (million)
% 0.18/0.49 % (2989796)Success in time 0.05 s
% 0.18/0.49 % Vampire exiting
%------------------------------------------------------------------------------