%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWW496_5 : TPTP v9.3.1. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n014.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 01:40:20 PM UTC 2026
% Result : Theorem 0.24s 0.34s
% Output : Refutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 57 ( 6 unt; 0 typ; 6 def)
% Number of atoms : 132 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 131 ( 56 ~; 58 |; 4 &)
% ( 8 <=>; 4 =>; 0 <=; 1 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 19 ( 18 usr; 7 prp; 0-4 aty)
% Number of functors : 32 ( 32 usr; 17 con; 0-4 aty)
% Number of variables : 14 ( 0 sgn 10 !; 4 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
bool: $tType ).
tff(type_def_6,type,
real: $tType ).
tff(type_def_7,type,
fun: ( $tType * $tType ) > $tType ).
tff(func_def_0,type,
combk:
!>[X0: $tType,X1: $tType] : ( X0 > fun(X1,X0) ) ).
tff(func_def_1,type,
top_top:
!>[X0: $tType] : X0 ).
tff(func_def_2,type,
collect:
!>[X0: $tType] : ( fun(X0,bool) > fun(X0,bool) ) ).
tff(func_def_3,type,
aa:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_4,type,
fFalse: bool ).
tff(func_def_5,type,
fTrue: bool ).
tff(func_def_6,type,
l: real ).
tff(func_def_7,type,
p: fun(real,bool) ).
tff(func_def_8,type,
y1: real ).
tff(func_def_9,type,
x: real ).
tff(func_def_10,type,
y: real ).
tff(func_def_11,type,
sK0: real ).
tff(func_def_12,type,
sK1: real ).
tff(func_def_13,type,
sK2: real ).
tff(func_def_14,type,
sK3: real ).
tff(func_def_15,type,
sK4: real ).
tff(func_def_16,type,
sK5: real ).
tff(func_def_17,type,
sK6: real ).
tff(func_def_18,type,
sK7: real ).
tff(func_def_19,type,
sK8:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).
tff(func_def_20,type,
sK9: real ).
tff(func_def_21,type,
sK10:
!>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).
tff(func_def_22,type,
sK11:
!>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).
tff(func_def_23,type,
sK12:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).
tff(func_def_24,type,
sK13:
!>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).
tff(func_def_25,type,
sK14:
!>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).
tff(func_def_26,type,
sK15:
!>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).
tff(func_def_27,type,
sK16:
!>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).
tff(func_def_28,type,
sK17:
!>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).
tff(func_def_29,type,
sK18:
!>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).
tff(func_def_30,type,
sK19: real ).
tff(pred_def_1,type,
ord:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
top:
!>[X0: $tType] : $o ).
tff(pred_def_3,type,
order:
!>[X0: $tType] : $o ).
tff(pred_def_4,type,
linorder:
!>[X0: $tType] : $o ).
tff(pred_def_5,type,
preorder:
!>[X0: $tType] : $o ).
tff(pred_def_6,type,
linordered_idom:
!>[X0: $tType] : $o ).
tff(pred_def_7,type,
isLub:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) * X0 ) > $o ) ).
tff(pred_def_8,type,
isUb:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) * X0 ) > $o ) ).
tff(pred_def_9,type,
ord_less:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_10,type,
ord_less_eq:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_11,type,
member:
!>[X0: $tType] : ( ( X0 * fun(X0,bool) ) > $o ) ).
tff(pred_def_12,type,
pp: bool > $o ).
tff(f4,axiom,
! [X0: real] :
( pp(aa(real,bool,p,X0))
=> ( ord_less(real,y,X0)
=> ord_less(real,y,l) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3__096_B_Bz_O_A_091_124_AP_Az_059_Ay_A_060_Az_A_124_093_A_061_061_062_Ay_A_060_AL_096) ).
tff(f5,axiom,
( ord_less(real,y,l)
=> ~ ! [X0: real] :
( pp(aa(real,bool,p,X0))
=> ~ ord_less(real,y,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4__096_091_124_Ay_A_060_AL_059_AALL_Az_O_AP_Az_A_N_N_062_A_126_Ay_A_060_Az_A_124_093_A_061_061_062_AFalse_096) ).
tff(f120,conjecture,
( ? [X0: real] :
( pp(aa(real,bool,p,X0))
& ord_less(real,y,X0) )
<=> ord_less(real,y,l) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
tff(f121,negated_conjecture,
~ ( ? [X0: real] :
( pp(aa(real,bool,p,X0))
& ord_less(real,y,X0) )
<=> ord_less(real,y,l) ),
inference(negated_conjecture,[status(cth)],[f120]) ).
tff(f124,plain,
! [X0: real] :
( ord_less(real,y,l)
| ~ ord_less(real,y,X0)
| ~ pp(aa(real,bool,p,X0)) ),
inference(ennf_transformation,[],[f4]) ).
tff(f125,plain,
! [X0: real] :
( ord_less(real,y,l)
| ~ ord_less(real,y,X0)
| ~ pp(aa(real,bool,p,X0)) ),
inference(flattening,[],[f124]) ).
tff(f126,plain,
( ? [X0: real] :
( ord_less(real,y,X0)
& pp(aa(real,bool,p,X0)) )
| ~ ord_less(real,y,l) ),
inference(ennf_transformation,[],[f5]) ).
tff(f237,plain,
( ? [X0: real] :
( pp(aa(real,bool,p,X0))
& ord_less(real,y,X0) )
<~> ord_less(real,y,l) ),
inference(ennf_transformation,[],[f121]) ).
tff(f241,plain,
! [X0: real] :
( ~ pp(aa(real,bool,p,X0))
| ~ ord_less(real,y,X0)
| ord_less(real,y,l) ),
inference(cnf_transformation,[],[f125]) ).
tff(f242,plain,
( ~ ord_less(real,y,l)
| pp(aa(real,bool,p,sK2)) ),
inference(cnf_transformation,[],[f126]) ).
tff(f243,plain,
( ~ ord_less(real,y,l)
| ord_less(real,y,sK2) ),
inference(cnf_transformation,[],[f126]) ).
tff(f393,plain,
! [X0: real] :
( ~ ord_less(real,y,l)
| ~ ord_less(real,y,X0)
| ~ pp(aa(real,bool,p,X0)) ),
inference(cnf_transformation,[],[f237]) ).
tff(f394,plain,
( ord_less(real,y,l)
| ord_less(real,y,sK19) ),
inference(cnf_transformation,[],[f237]) ).
tff(f395,plain,
( ord_less(real,y,l)
| pp(aa(real,bool,p,sK19)) ),
inference(cnf_transformation,[],[f237]) ).
tff(f424,plain,
! [X0: real] :
( ~ pp(aa(real,bool,p,X0))
| ord_less(real,y,X0)
| ~ ord_less(real,y,l) ),
inference(consistent_polarity_flipping,[],[f241]) ).
tff(f425,plain,
( ord_less(real,y,l)
| ~ ord_less(real,y,sK2) ),
inference(consistent_polarity_flipping,[],[f243]) ).
tff(f426,plain,
( ord_less(real,y,l)
| pp(aa(real,bool,p,sK2)) ),
inference(consistent_polarity_flipping,[],[f242]) ).
tff(f555,plain,
( ~ ord_less(real,y,l)
| pp(aa(real,bool,p,sK19)) ),
inference(consistent_polarity_flipping,[],[f395]) ).
tff(f556,plain,
( ~ ord_less(real,y,l)
| ~ ord_less(real,y,sK19) ),
inference(consistent_polarity_flipping,[],[f394]) ).
tff(f557,plain,
! [X0: real] :
( ord_less(real,y,l)
| ord_less(real,y,X0)
| ~ pp(aa(real,bool,p,X0)) ),
inference(consistent_polarity_flipping,[],[f393]) ).
tff(f559,definition,
( spl20_1
<=> ! [X0: real] :
( ord_less(real,y,X0)
| ~ pp(aa(real,bool,p,X0)) ) ),
introduced(definition,[new_symbols(definition,[spl20_1])],[avatar_definition]) ).
tff(f560,plain,
( ! [X0: real] :
( ~ pp(aa(real,bool,p,X0))
| ord_less(real,y,X0) )
| ~ spl20_1 ),
inference(avatar_component_clause,[],[f559]) ).
tff(f562,definition,
( spl20_2
<=> ord_less(real,y,l) ),
introduced(definition,[new_symbols(definition,[spl20_2])],[avatar_definition]) ).
tff(f565,plain,
( spl20_1
| spl20_2 ),
inference(avatar_split_clause,[],[f557,f562,f559]) ).
tff(f567,definition,
( spl20_3
<=> ord_less(real,y,sK19) ),
introduced(definition,[new_symbols(definition,[spl20_3])],[avatar_definition]) ).
tff(f569,plain,
( ~ ord_less(real,y,sK19)
| spl20_3 ),
inference(avatar_component_clause,[],[f567]) ).
tff(f570,plain,
( ~ spl20_3
| ~ spl20_2 ),
inference(avatar_split_clause,[],[f556,f562,f567]) ).
tff(f572,definition,
( spl20_4
<=> pp(aa(real,bool,p,sK19)) ),
introduced(definition,[new_symbols(definition,[spl20_4])],[avatar_definition]) ).
tff(f574,plain,
( pp(aa(real,bool,p,sK19))
| ~ spl20_4 ),
inference(avatar_component_clause,[],[f572]) ).
tff(f575,plain,
( spl20_4
| ~ spl20_2 ),
inference(avatar_split_clause,[],[f555,f562,f572]) ).
tff(f585,definition,
( spl20_7
<=> pp(aa(real,bool,p,sK2)) ),
introduced(definition,[new_symbols(definition,[spl20_7])],[avatar_definition]) ).
tff(f587,plain,
( pp(aa(real,bool,p,sK2))
| ~ spl20_7 ),
inference(avatar_component_clause,[],[f585]) ).
tff(f588,plain,
( spl20_7
| spl20_2 ),
inference(avatar_split_clause,[],[f426,f562,f585]) ).
tff(f590,definition,
( spl20_8
<=> ord_less(real,y,sK2) ),
introduced(definition,[new_symbols(definition,[spl20_8])],[avatar_definition]) ).
tff(f592,plain,
( ~ ord_less(real,y,sK2)
| spl20_8 ),
inference(avatar_component_clause,[],[f590]) ).
tff(f593,plain,
( ~ spl20_8
| spl20_2 ),
inference(avatar_split_clause,[],[f425,f562,f590]) ).
tff(f594,plain,
( ~ spl20_2
| spl20_1 ),
inference(avatar_split_clause,[],[f424,f559,f562]) ).
tff(f595,plain,
( ord_less(real,y,sK19)
| ~ spl20_1
| ~ spl20_4 ),
inference(resolution,[],[f560,f574]) ).
tff(f596,plain,
( $false
| ~ spl20_1
| spl20_3
| ~ spl20_4 ),
inference(forward_subsumption_resolution,[],[f595,f569]) ).
tff(f597,plain,
( ~ spl20_1
| spl20_3
| ~ spl20_4 ),
inference(avatar_contradiction_clause,[],[f596]) ).
tff(f625,plain,
( ord_less(real,y,sK2)
| ~ spl20_1
| ~ spl20_7 ),
inference(resolution,[],[f587,f560]) ).
tff(f629,plain,
( $false
| ~ spl20_1
| ~ spl20_7
| spl20_8 ),
inference(forward_subsumption_resolution,[],[f625,f592]) ).
tff(f630,plain,
( ~ spl20_1
| ~ spl20_7
| spl20_8 ),
inference(avatar_contradiction_clause,[],[f629]) ).
cnf(s1,plain,
( spl20_1
| spl20_2 ),
inference(sat_conversion,[],[f565]) ).
cnf(s2,plain,
( ~ spl20_2
| ~ spl20_3 ),
inference(sat_conversion,[],[f570]) ).
cnf(s3,plain,
( ~ spl20_2
| spl20_4 ),
inference(sat_conversion,[],[f575]) ).
cnf(s8,plain,
( spl20_2
| spl20_7 ),
inference(sat_conversion,[],[f588]) ).
cnf(s9,plain,
( spl20_2
| ~ spl20_8 ),
inference(sat_conversion,[],[f593]) ).
cnf(s10,plain,
( spl20_1
| ~ spl20_2 ),
inference(sat_conversion,[],[f594]) ).
cnf(s11,plain,
( ~ spl20_1
| spl20_3
| ~ spl20_4 ),
inference(sat_conversion,[],[f597]) ).
cnf(s13,plain,
( ~ spl20_1
| ~ spl20_7
| spl20_8 ),
inference(sat_conversion,[],[f630]) ).
cnf(s14,plain,
spl20_1,
inference(rat,[],[s1,s10]) ).
cnf(s15,plain,
spl20_2,
inference(rat,[],[s13,s8,s9,s14]) ).
cnf(s16,plain,
spl20_4,
inference(rat,[],[s3,s15]) ).
cnf(s17,plain,
~ spl20_3,
inference(rat,[],[s2,s15]) ).
cnf(s18,plain,
$false,
inference(rat,[],[s11,s14,s16,s17]) ).
tff(f631,plain,
$false,
inference(avatar_sat_refutation,[],[s18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW496_5 : TPTP v9.3.1. Released v6.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.23 % Computer : n014.cluster.edu
% 0.10/0.23 % Model : x86_64 x86_64
% 0.10/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.23 % Memory : 8046.5625MB
% 0.10/0.23 % OS : Linux 6.8.0-71-generic
% 0.10/0.23 % CPULimit : 300
% 0.10/0.23 % WCLimit : 300
% 0.10/0.23 % DateTime : Mon Sep 28 14:15:00 UTC 2026
% 0.10/0.23 % CPUTime :
% 0.10/0.23 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.28 Running first-order model finding
% 0.10/0.28 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.24/0.34 % (1796484)Will run a generic schedule for satisfiability detection.
% 0.24/0.34 % (1796490)% WARNING: option uhcvi not known.
% 0.24/0.34 % (1796490)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2849739792:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.24/0.34 % (1796491)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4009024286:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.24/0.34 % (1796490) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1796484-1796490"...
% 0.24/0.34 % (1796490)...printing done.
% 0.24/0.34 % (1796490)Refutation found. Thanks to Tanya!
% 0.24/0.34 % SZS status Theorem for theBenchmark
% 0.24/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.24/0.34 % (1796490)------------------------------
% 0.24/0.34 % (1796490)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.24/0.34 % (1796490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/0.34 % (1796490)CaDiCaL version: 2.1.3
% 0.24/0.34 % (1796490)Termination reason: Refutation
% 0.24/0.34 % (1796490)Time elapsed: 0.006 s
% 0.24/0.34 % (1796490)Peak memory usage: 12 MB
% 0.24/0.34 % (1796490)Instructions burned: 9 (million)
% 0.24/0.34 % (1796484)Success in time 0.035 s
% 0.24/0.34 % Vampire exiting
%------------------------------------------------------------------------------