%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET185^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n004.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 : Wed Sep 30 08:23:36 AM UTC 2026
% Result : Theorem 0.17s 0.27s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 3
% Syntax : Number of formulae : 26 ( 6 unt; 0 typ; 2 def)
% Number of atoms : 103 ( 32 equ; 0 cnn)
% Maximal formula atoms : 5 ( 3 avg)
% Number of connectives : 111 ( 22 ~; 23 |; 6 &; 46 @)
% ( 2 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 26 ( 0 sgn 20 !; 6 ?; 26 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_3,type,
sK0: a > $o ).
thf(func_def_4,type,
sK1: a > $o ).
thf(func_def_5,type,
sK2: a ).
thf(f1,conjecture,
! [X0: a > $o,X1: a > $o] :
( ! [X2: a] :
( ( X0 @ X2 )
=> ( X1 @ X2 ) )
=> ! [X2: a] :
( ( ( X1 @ X2 )
| ( X0 @ X2 ) )
=> ( X1 @ X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cBOOL_PROP_35_pme) ).
thf(f2,negated_conjecture,
~ ! [X0: a > $o,X1: a > $o] :
( ! [X2: a] :
( ( X0 @ X2 )
=> ( X1 @ X2 ) )
=> ! [X2: a] :
( ( ( X1 @ X2 )
| ( X0 @ X2 ) )
=> ( X1 @ X2 ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ! [X0: a > $o,X1: a > $o] :
( ! [X2: a] :
( ( X0 @ X2 )
=> ( X1 @ X2 ) )
=> ! [X3: a] :
( ( ( X1 @ X3 )
| ( X0 @ X3 ) )
=> ( X1 @ X3 ) ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
~ ! [X0: a > $o,X1: a > $o] :
( ! [X2: a] :
( ( ( X0 @ X2 )
= $true )
=> ( ( X1 @ X2 )
= $true ) )
=> ! [X3: a] :
( ( ( ( X1 @ X3 )
= $true )
| ( ( X0 @ X3 )
= $true ) )
=> ( ( X1 @ X3 )
= $true ) ) ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
? [X0: a > $o,X1: a > $o] :
( ? [X3: a] :
( ( ( X1 @ X3 )
!= $true )
& ( ( ( X1 @ X3 )
= $true )
| ( ( X0 @ X3 )
= $true ) ) )
& ! [X2: a] :
( ( ( X1 @ X2 )
= $true )
| ( ( X0 @ X2 )
!= $true ) ) ),
inference(ennf_transformation,[],[f4]) ).
thf(f6,plain,
? [X0: a > $o,X1: a > $o] :
( ? [X2: a] :
( ( ( X1 @ X2 )
!= $true )
& ( ( ( X1 @ X2 )
= $true )
| ( ( X0 @ X2 )
= $true ) ) )
& ! [X3: a] :
( ( ( X1 @ X3 )
= $true )
| ( ( X0 @ X3 )
!= $true ) ) ),
inference(rectify,[],[f5]) ).
thf(f7,plain,
( ( $true
!= ( sK1 @ sK2 ) )
& ( ( $true
= ( sK1 @ sK2 ) )
| ( $true
= ( sK0 @ sK2 ) ) )
& ! [X3: a] :
( ( $true
= ( sK1 @ X3 ) )
| ( $true
!= ( sK0 @ X3 ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f6]) ).
thf(f8,plain,
! [X3: a] :
( ( $true
!= ( sK0 @ X3 ) )
| ( $true
= ( sK1 @ X3 ) ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f9,plain,
( ( $true
= ( sK1 @ sK2 ) )
| ( $true
= ( sK0 @ sK2 ) ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f10,plain,
( $true
!= ( sK1 @ sK2 ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f14,definition,
( spl3_1
<=> ( $true
= ( sK0 @ sK2 ) ) ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
thf(f16,plain,
( ( $true
= ( sK0 @ sK2 ) )
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f14]) ).
thf(f18,definition,
( spl3_2
<=> ( $true
= ( sK1 @ sK2 ) ) ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
thf(f19,plain,
( ( $true
!= ( sK1 @ sK2 ) )
| spl3_2 ),
inference(avatar_component_clause,[],[f18]) ).
thf(f21,plain,
( spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f9,f18,f14]) ).
thf(f22,plain,
~ spl3_2,
inference(avatar_split_clause,[],[f10,f18]) ).
thf(f23,plain,
( ( $true != $true )
| ( $true
= ( sK1 @ sK2 ) )
| ~ spl3_1 ),
inference(constrained_superposition,[],[f8,f16]) ).
thf(f24,plain,
( ( $true
= ( sK1 @ sK2 ) )
| ~ spl3_1 ),
inference(trivial_inequality_removal,[],[f23]) ).
thf(f25,plain,
( $false
| ~ spl3_1
| spl3_2 ),
inference(forward_subsumption_resolution,[],[f24,f19]) ).
thf(f26,plain,
( ~ spl3_1
| spl3_2 ),
inference(avatar_contradiction_clause,[],[f25]) ).
cnf(s1,plain,
( spl3_1
| spl3_2 ),
inference(sat_conversion,[],[f21]) ).
cnf(s2,plain,
~ spl3_2,
inference(sat_conversion,[],[f22]) ).
cnf(s3,plain,
( ~ spl3_1
| spl3_2 ),
inference(sat_conversion,[],[f26]) ).
cnf(s4,plain,
~ spl3_1,
inference(rat,[],[s3,s2]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s2,s4]) ).
thf(f27,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET185^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.18 % Computer : n004.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Tue Sep 29 13:37:07 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.22 Running first-order model finding
% 0.07/0.22 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
% 0.17/0.27 % (1289172)Will run a generic schedule for satisfiability detection.
% 0.17/0.27 % (1289182)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=418745525_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.27 % Exception at run slice level
% 0.17/0.27 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.17/0.27 % (1289183)% WARNING: option uhcvi not known.
% 0.17/0.27 % (1289183)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1187354121:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.27 % (1289184)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1177895162:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.27 % (1289185)dis+10_1_sil=32000:sp=arity:random_seed=3147936325:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.27 % (1289183)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.17/0.27 % (1289183)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.17/0.27 % (1289185) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1289172-1289185"...
% 0.17/0.27 % (1289183) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1289172-1289183"...
% 0.17/0.27 % (1289184) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1289172-1289184"...
% 0.17/0.27 % (1289184)...printing done.
% 0.17/0.27 % (1289183)...printing done.
% 0.17/0.27 % (1289185)...printing done.
% 0.17/0.27 % (1289190)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2452371472:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.17/0.27 % Exception at run slice level
% 0.17/0.27 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.17/0.27 % (1289185)Refutation found. Thanks to Tanya!
% 0.17/0.27 % SZS status Theorem for theBenchmark
% 0.17/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.27 % (1289185)------------------------------
% 0.17/0.27 % (1289185)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.27 % (1289185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.27 % (1289185)CaDiCaL version: 2.1.3
% 0.17/0.27 % (1289185)Termination reason: Refutation
% 0.17/0.27 % (1289185)Time elapsed: 0.002 s
% 0.17/0.27 % (1289185)Peak memory usage: 12 MB
% 0.17/0.27 % (1289185)Instructions burned: 1 (million)
% 0.17/0.27 % (1289172)Success in time 0.038 s
% 0.17/0.27 % Vampire exiting
%------------------------------------------------------------------------------