%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEV061^5 : 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 : n020.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 08:38:56 AM UTC 2026
% Result : Theorem 0.12s 0.25s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 3
% Syntax : Number of formulae : 33 ( 10 unt; 0 typ; 2 def)
% Number of atoms : 144 ( 78 equ; 0 cnn)
% Maximal formula atoms : 8 ( 4 avg)
% Number of connectives : 195 ( 36 ~; 33 |; 28 &; 84 @)
% ( 2 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 28 ( 28 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 62 ( 0 sgn 44 !; 18 ?; 62 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
b: $tType ).
thf(type_def_6,type,
a: $tType ).
thf(type_def_7,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_3,type,
sK0: b ).
thf(func_def_4,type,
sK1: a ).
thf(func_def_5,type,
sK2: b > a > $o ).
thf(func_def_6,type,
sK3: b > a > $o ).
thf(func_def_7,type,
sK4: b ).
thf(func_def_8,type,
sK5: a ).
thf(f1,conjecture,
! [X0: b,X1: a,X2: b > a > $o,X3: b > a > $o] :
( ! [X4: b,X5: a] :
( ( X3 @ X4 @ X5 )
=> ( ( ( X5 = X1 )
& ( X4 = X0 ) )
| ( X2 @ X4 @ X5 ) ) )
=> ! [X6: b,X7: a] :
( ( ~ ( ( X7 = X1 )
& ( X6 = X0 ) )
& ( X3 @ X6 @ X7 ) )
=> ( X2 @ X6 @ X7 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM176_pme) ).
thf(f2,negated_conjecture,
~ ! [X0: b,X1: a,X2: b > a > $o,X3: b > a > $o] :
( ! [X4: b,X5: a] :
( ( X3 @ X4 @ X5 )
=> ( ( ( X5 = X1 )
& ( X4 = X0 ) )
| ( X2 @ X4 @ X5 ) ) )
=> ! [X6: b,X7: a] :
( ( ~ ( ( X7 = X1 )
& ( X6 = X0 ) )
& ( X3 @ X6 @ X7 ) )
=> ( X2 @ X6 @ X7 ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ! [X0: b,X1: a,X2: b > a > $o,X3: b > a > $o] :
( ! [X4: b,X5: a] :
( ( X3 @ X4 @ X5 )
=> ( ( ( X5 = X1 )
& ( X4 = X0 ) )
| ( X2 @ X4 @ X5 ) ) )
=> ! [X6: b,X7: a] :
( ( ~ ( ( X7 = X1 )
& ( X6 = X0 ) )
& ( X3 @ X6 @ X7 ) )
=> ( X2 @ X6 @ X7 ) ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
~ ! [X0: b,X1: a,X2: b > a > $o,X3: b > a > $o] :
( ! [X4: b,X5: a] :
( ( ( X3 @ X4 @ X5 )
= $true )
=> ( ( ( X1 = X5 )
& ( X0 = X4 ) )
| ( ( X2 @ X4 @ X5 )
= $true ) ) )
=> ! [X6: b,X7: a] :
( ( ~ ( ( X1 = X7 )
& ( X0 = X6 ) )
& ( ( X3 @ X6 @ X7 )
= $true ) )
=> ( ( X2 @ X6 @ X7 )
= $true ) ) ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
? [X0: b,X1: a,X2: b > a > $o,X3: b > a > $o] :
( ? [X6: b,X7: a] :
( ( ( X2 @ X6 @ X7 )
!= $true )
& ( ( X1 != X7 )
| ( X0 != X6 ) )
& ( ( X3 @ X6 @ X7 )
= $true ) )
& ! [X4: b,X5: a] :
( ( ( X1 = X5 )
& ( X0 = X4 ) )
| ( ( X2 @ X4 @ X5 )
= $true )
| ( ( X3 @ X4 @ X5 )
!= $true ) ) ),
inference(ennf_transformation,[],[f4]) ).
thf(f6,plain,
? [X0: b,X1: a,X2: b > a > $o,X3: b > a > $o] :
( ? [X6: b,X7: a] :
( ( ( X2 @ X6 @ X7 )
!= $true )
& ( ( X1 != X7 )
| ( X0 != X6 ) )
& ( ( X3 @ X6 @ X7 )
= $true ) )
& ! [X4: b,X5: a] :
( ( ( X1 = X5 )
& ( X0 = X4 ) )
| ( ( X2 @ X4 @ X5 )
= $true )
| ( ( X3 @ X4 @ X5 )
!= $true ) ) ),
inference(flattening,[],[f5]) ).
thf(f7,plain,
? [X0: b,X1: a,X2: b > a > $o,X3: b > a > $o] :
( ? [X4: b,X5: a] :
( ( ( X2 @ X4 @ X5 )
!= $true )
& ( ( X1 != X5 )
| ( X0 != X4 ) )
& ( ( X3 @ X4 @ X5 )
= $true ) )
& ! [X6: b,X7: a] :
( ( ( X1 = X7 )
& ( X0 = X6 ) )
| ( ( X2 @ X6 @ X7 )
= $true )
| ( ( X3 @ X6 @ X7 )
!= $true ) ) ),
inference(rectify,[],[f6]) ).
thf(f8,plain,
( ( $true
!= ( sK2 @ sK4 @ sK5 ) )
& ( ( sK1 != sK5 )
| ( sK0 != sK4 ) )
& ( $true
= ( sK3 @ sK4 @ sK5 ) )
& ! [X6: b,X7: a] :
( ( ( sK1 = X7 )
& ( sK0 = X6 ) )
| ( $true
= ( sK2 @ X6 @ X7 ) )
| ( $true
!= ( sK3 @ X6 @ X7 ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5)],[f7]) ).
thf(f9,plain,
! [X6: b,X7: a] :
( ( $true
!= ( sK3 @ X6 @ X7 ) )
| ( $true
= ( sK2 @ X6 @ X7 ) )
| ( sK0 = X6 ) ),
inference(cnf_transformation,[],[f8]) ).
thf(f10,plain,
! [X6: b,X7: a] :
( ( $true
!= ( sK3 @ X6 @ X7 ) )
| ( $true
= ( sK2 @ X6 @ X7 ) )
| ( sK1 = X7 ) ),
inference(cnf_transformation,[],[f8]) ).
thf(f11,plain,
( $true
= ( sK3 @ sK4 @ sK5 ) ),
inference(cnf_transformation,[],[f8]) ).
thf(f12,plain,
( ( sK1 != sK5 )
| ( sK0 != sK4 ) ),
inference(cnf_transformation,[],[f8]) ).
thf(f13,plain,
( $true
!= ( sK2 @ sK4 @ sK5 ) ),
inference(cnf_transformation,[],[f8]) ).
thf(f17,definition,
( spl6_1
<=> ( sK0 = sK4 ) ),
introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition]) ).
thf(f19,plain,
( ( sK0 != sK4 )
| spl6_1 ),
inference(avatar_component_clause,[],[f17]) ).
thf(f21,definition,
( spl6_2
<=> ( sK1 = sK5 ) ),
introduced(definition,[new_symbols(definition,[spl6_2])],[avatar_definition]) ).
thf(f23,plain,
( ( sK1 != sK5 )
| spl6_2 ),
inference(avatar_component_clause,[],[f21]) ).
thf(f24,plain,
( ~ spl6_1
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f12,f21,f17]) ).
thf(f25,plain,
( ( $true != $true )
| ( $true
= ( sK2 @ sK4 @ sK5 ) )
| ( sK0 = sK4 ) ),
inference(constrained_superposition,[],[f9,f11]) ).
thf(f26,plain,
( ( $true
= ( sK2 @ sK4 @ sK5 ) )
| ( sK0 = sK4 ) ),
inference(trivial_inequality_removal,[],[f25]) ).
thf(f27,plain,
sK0 = sK4,
inference(forward_subsumption_resolution,[],[f26,f13]) ).
thf(f28,plain,
( $false
| spl6_1 ),
inference(forward_subsumption_resolution,[],[f27,f19]) ).
thf(f29,plain,
spl6_1,
inference(avatar_contradiction_clause,[],[f28]) ).
thf(f30,plain,
( ( $true != $true )
| ( $true
= ( sK2 @ sK4 @ sK5 ) )
| ( sK1 = sK5 ) ),
inference(constrained_superposition,[],[f10,f11]) ).
thf(f31,plain,
( ( $true
= ( sK2 @ sK4 @ sK5 ) )
| ( sK1 = sK5 ) ),
inference(trivial_inequality_removal,[],[f30]) ).
thf(f32,plain,
sK1 = sK5,
inference(forward_subsumption_resolution,[],[f31,f13]) ).
thf(f33,plain,
( $false
| spl6_2 ),
inference(forward_subsumption_resolution,[],[f32,f23]) ).
thf(f34,plain,
spl6_2,
inference(avatar_contradiction_clause,[],[f33]) ).
cnf(s1,plain,
( ~ spl6_1
| ~ spl6_2 ),
inference(sat_conversion,[],[f24]) ).
cnf(s2,plain,
spl6_1,
inference(sat_conversion,[],[f29]) ).
cnf(s3,plain,
spl6_2,
inference(sat_conversion,[],[f34]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s3,s2]) ).
thf(f35,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEV061^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.16 % Computer : n020.cluster.edu
% 0.12/0.16 % Model : x86_64 x86_64
% 0.12/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.16 % Memory : 8046.5625MB
% 0.12/0.16 % OS : Linux 6.8.0-71-generic
% 0.12/0.16 % CPULimit : 300
% 0.12/0.16 % WCLimit : 300
% 0.12/0.16 % DateTime : Tue Sep 29 15:06:49 UTC 2026
% 0.12/0.17 % CPUTime :
% 0.12/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.20 Running first-order model finding
% 0.12/0.20 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
% 0.12/0.25 % (1165825)Will run a generic schedule for satisfiability detection.
% 0.12/0.25 % (1165834)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3862345863_2999 on theBenchmark for (2999ds/0Mi)
% 0.12/0.25 % Exception at run slice level
% 0.12/0.25 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.12/0.25 % (1165835)% WARNING: option uhcvi not known.
% 0.12/0.25 % (1165836)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3573175483:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.12/0.25 % (1165838)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=363419456:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.12/0.25 % (1165838)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.12/0.25 % (1165835)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1729530066:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.12/0.25 % (1165837)dis+10_1_sil=32000:sp=arity:random_seed=1629287201:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.12/0.25 % (1165835)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.12/0.25 % (1165835)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.12/0.25 % (1165840)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2536983205:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.12/0.25 % (1165839)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=718299973:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.12/0.25 % (1165838) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1165825-1165838"...
% 0.12/0.25 % (1165846)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1078976723:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.12/0.25 % (1165835) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1165825-1165835"...
% 0.12/0.25 % (1165837) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1165825-1165837"...
% 0.12/0.25 % Exception at run slice level
% 0.12/0.25 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.12/0.25 % (1165836) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1165825-1165836"...
% 0.12/0.25 % (1165839) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1165825-1165839"...
% 0.12/0.25 % (1165840) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1165825-1165840"...
% 0.12/0.25 % (1165838)...printing done.
% 0.12/0.25 % (1165835)...printing done.
% 0.12/0.25 % (1165837)...printing done.
% 0.12/0.25 % (1165838)Refutation found. Thanks to Tanya!
% 0.12/0.25 % SZS status Theorem for theBenchmark
% 0.12/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.25 % (1165838)------------------------------
% 0.12/0.25 % (1165838)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/0.25 % (1165838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/0.25 % (1165838)CaDiCaL version: 2.1.3
% 0.12/0.25 % (1165838)Termination reason: Refutation
% 0.12/0.25 % (1165838)Time elapsed: 0.004 s
% 0.12/0.25 % (1165838)Peak memory usage: 12 MB
% 0.12/0.25 % (1165838)Instructions burned: 2 (million)
% 0.12/0.25 % (1165825)Success in time 0.039 s
% 0.12/0.25 % Vampire exiting
%------------------------------------------------------------------------------