%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU548^2 : TPTP v9.3.1. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n012.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 08:32:24 AM UTC 2026
% Result : Theorem 0.08s 0.14s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 1
% Syntax : Number of formulae : 16 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 101 ( 29 equ; 0 cnn)
% Maximal formula atoms : 5 ( 6 avg)
% Number of connectives : 74 ( 7 ~; 2 |; 6 &; 44 @)
% ( 3 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 16 usr; 7 con; 0-4 aty)
% Number of variables : 20 ( 0 ^; 16 !; 4 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
in: $i > $i > $o ).
thf(func_def_1,type,
inCongP: $o ).
thf(func_def_3,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_4,type,
vIMP: $o > $o > $o ).
thf(func_def_5,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_6,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_7,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_8,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_9,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_10,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_17,type,
vNOT: $o > $o ).
thf(f2,conjecture,
( inCongP
=> ! [X0: $i,X1: $i] :
( ( X0 = X1 )
=> ! [X2: $i,X3: $i] :
( ( X2 = X3 )
=> ( ( in @ X2 @ X0 )
<=> ( in @ X3 @ X1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',in__Cong) ).
thf(f3,negated_conjecture,
~ ( inCongP
=> ! [X0: $i,X1: $i] :
( ( X0 = X1 )
=> ! [X2: $i,X3: $i] :
( ( X2 = X3 )
=> ( ( in @ X2 @ X0 )
<=> ( in @ X3 @ X1 ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f2]) ).
thf(f6,plain,
~ ( inCongP
=> ! [X0: $i,X1: $i] :
( ( X0 = X1 )
=> ! [X2: $i,X3: $i] :
( ( X2 = X3 )
=> ( ( in @ X2 @ X0 )
<=> ( in @ X3 @ X1 ) ) ) ) ),
inference(rectify,[],[f3]) ).
thf(f7,plain,
~ ( ( inCongP = $true )
=> ! [X0: $i,X1: $i] :
( ( X0 = X1 )
=> ! [X2: $i,X3: $i] :
( ( X2 = X3 )
=> ( ( in @ X2 @ X0 )
= ( in @ X3 @ X1 ) ) ) ) ),
inference(fool_elimination,[],[f6]) ).
thf(f8,plain,
( ? [X0: $i,X1: $i] :
( ? [X2: $i,X3: $i] :
( ( ( in @ X2 @ X0 )
!= ( in @ X3 @ X1 ) )
& ( X2 = X3 ) )
& ( X0 = X1 ) )
& ( inCongP = $true ) ),
inference(ennf_transformation,[],[f7]) ).
thf(f9,plain,
( ( ( in @ sK2 @ sK0 )
!= ( in @ sK3 @ sK1 ) )
& ( sK2 = sK3 )
& ( sK0 = sK1 )
& ( inCongP = $true ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f8]) ).
thf(f12,plain,
sK0 = sK1,
inference(cnf_transformation,[],[f9]) ).
thf(f13,plain,
sK2 = sK3,
inference(cnf_transformation,[],[f9]) ).
thf(f14,plain,
( ( in @ sK2 @ sK0 )
!= ( in @ sK3 @ sK1 ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f18,plain,
( ( in @ sK3 @ sK1 )
!= ( in @ sK3 @ sK1 ) ),
inference(definition_unfolding,[],[f14,f13,f12]) ).
thf(f19,plain,
( ( $true
= ( in @ sK3 @ sK1 ) )
| ( $true
= ( in @ sK3 @ sK1 ) ) ),
inference(xor_proxy_clausification,[],[f18]) ).
thf(f20,plain,
( ( ( in @ sK3 @ sK1 )
= $false )
| ( ( in @ sK3 @ sK1 )
= $false ) ),
inference(xor_proxy_clausification,[],[f18]) ).
thf(f21,plain,
( ( in @ sK3 @ sK1 )
= $false ),
inference(duplicate_literal_removal,[],[f20]) ).
thf(f22,plain,
( $true
= ( in @ sK3 @ sK1 ) ),
inference(duplicate_literal_removal,[],[f19]) ).
thf(f36,plain,
$true = $false,
inference(forward_demodulation,[],[f22,f21]) ).
thf(f37,plain,
$false,
inference(trivial_inequality_removal,[],[f36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SEU548^2 : TPTP v9.3.1. Bugfixed v4.0.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.00/0.11 % Computer : n012.cluster.edu
% 0.00/0.11 % Model : x86_64 x86_64
% 0.00/0.11 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11 % Memory : 8046.5625MB
% 0.00/0.11 % OS : Linux 6.8.0-71-generic
% 0.00/0.11 % CPULimit : 300
% 0.00/0.11 % WCLimit : 300
% 0.00/0.11 % DateTime : Tue Sep 29 13:49:04 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.12 Running first-order model finding
% 0.08/0.12 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
% 0.08/0.14 % (132818)Will run a generic schedule for satisfiability detection.
% 0.08/0.14 % (132824)% WARNING: option uhcvi not known.
% 0.08/0.14 % (132825)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=373149694:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.08/0.14 % (132828)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1949073181:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.08/0.14 % (132826)dis+10_1_sil=32000:sp=arity:random_seed=472446093:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.08/0.14 % (132824)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2188932887:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.08/0.14 % (132823)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4085712675_3000 on theBenchmark for (3000ds/0Mi)
% 0.08/0.14 % (132827)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4039394733:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.08/0.14 % (132829)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4001861791:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.08/0.14 % (132824)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.08/0.14 % (132827)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.08/0.14 % (132824)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.08/0.14 % Exception at run slice level
% 0.08/0.14 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.08/0.14 % (132828) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-132818-132828"...
% 0.08/0.14 % (132826) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-132818-132826"...
% 0.08/0.14 % (132825) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-132818-132825"...
% 0.08/0.14 % (132829) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-132818-132829"...
% 0.08/0.14 % (132827) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-132818-132827"...
% 0.08/0.14 % (132824) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-132818-132824"...
% 0.08/0.14 % (132828)...printing done.
% 0.08/0.14 % (132826)...printing done.
% 0.08/0.14 % (132829)...printing done.
% 0.08/0.14 % (132825)...printing done.
% 0.08/0.14 % (132824)...printing done.
% 0.08/0.14 % (132827)...printing done.
% 0.08/0.14 % (132825)Refutation found. Thanks to Tanya!
% 0.08/0.14 % SZS status Theorem for theBenchmark
% 0.08/0.14 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.14 % (132825)------------------------------
% 0.08/0.14 % (132825)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.14 % (132825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.14 % (132825)CaDiCaL version: 2.1.3
% 0.08/0.14 % (132825)Termination reason: Refutation
% 0.08/0.14 % (132825)Time elapsed: 0.001 s
% 0.08/0.14 % (132825)Peak memory usage: 12 MB
% 0.08/0.14 % (132825)Instructions burned: 2 (million)
% 0.08/0.14 % (132818)Success in time 0.014 s
% 0.08/0.14 % Vampire exiting
%------------------------------------------------------------------------------