%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU547^2 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 0.06s 0.16s
% Output : Refutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 13 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 74 ( 27 equ; 0 cnn)
% Maximal formula atoms : 4 ( 5 avg)
% Number of connectives : 62 ( 7 ~; 0 |; 9 &; 34 @)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 24 ( 0 ^; 16 !; 8 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
in: $i > $i > $o ).
thf(func_def_8,type,
vNOT: $o > $o ).
thf(f1,conjecture,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
=> ! [X2: $i,X3: $i] :
( ( X2 = X3 )
=> ( ( in @ X2 @ X0 )
=> ( in @ X3 @ X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inCongP) ).
thf(f2,negated_conjecture,
~ ! [X0: $i,X1: $i] :
( ( X0 = X1 )
=> ! [X2: $i,X3: $i] :
( ( X2 = X3 )
=> ( ( in @ X2 @ X0 )
=> ( in @ X3 @ X1 ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ! [X0: $i,X1: $i] :
( ( X0 = X1 )
=> ! [X2: $i,X3: $i] :
( ( X2 = X3 )
=> ( ( in @ X2 @ X0 )
=> ( in @ X3 @ X1 ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
~ ! [X0: $i,X1: $i] :
( ( X0 = X1 )
=> ! [X2: $i,X3: $i] :
( ( X2 = X3 )
=> ( ( ( in @ X2 @ X0 )
= $true )
=> ( ( in @ X3 @ X1 )
= $true ) ) ) ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
? [X0: $i,X1: $i] :
( ? [X2: $i,X3: $i] :
( ( ( in @ X3 @ X1 )
!= $true )
& ( ( in @ X2 @ X0 )
= $true )
& ( X2 = X3 ) )
& ( X0 = X1 ) ),
inference(ennf_transformation,[],[f4]) ).
thf(f6,plain,
? [X0: $i,X1: $i] :
( ? [X2: $i,X3: $i] :
( ( ( in @ X3 @ X1 )
!= $true )
& ( ( in @ X2 @ X0 )
= $true )
& ( X2 = X3 ) )
& ( X0 = X1 ) ),
inference(flattening,[],[f5]) ).
thf(f7,plain,
( ( $true
!= ( in @ sK3 @ sK1 ) )
& ( $true
= ( in @ sK2 @ sK0 ) )
& ( sK2 = sK3 )
& ( sK0 = sK1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f6]) ).
thf(f8,plain,
sK0 = sK1,
inference(cnf_transformation,[],[f7]) ).
thf(f9,plain,
sK2 = sK3,
inference(cnf_transformation,[],[f7]) ).
thf(f10,plain,
( $true
= ( in @ sK2 @ sK0 ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f11,plain,
( $true
!= ( in @ sK3 @ sK1 ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f14,plain,
( $true
= ( in @ sK3 @ sK1 ) ),
inference(definition_unfolding,[],[f10,f9,f8]) ).
thf(f15,plain,
$false,
inference(forward_subsumption_resolution,[],[f11,f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SEU547^2 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.06/0.11 % Computer : n012.cluster.edu
% 0.06/0.11 % Model : x86_64 x86_64
% 0.06/0.11 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.11 % Memory : 8046.5625MB
% 0.06/0.11 % OS : Linux 6.8.0-71-generic
% 0.06/0.12 % CPULimit : 300
% 0.06/0.12 % WCLimit : 300
% 0.06/0.12 % DateTime : Tue Sep 29 13:49:04 UTC 2026
% 0.06/0.12 % CPUTime :
% 0.06/0.12 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.06/0.13 Running first-order model finding
% 0.06/0.13 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
% 0.06/0.16 % (132761)Will run a generic schedule for satisfiability detection.
% 0.06/0.16 % (132777)% WARNING: option uhcvi not known.
% 0.06/0.16 % (132777)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1557588724:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.06/0.16 % (132778)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2105978242:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.06/0.16 % (132776)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2504396752_2999 on theBenchmark for (2999ds/0Mi)
% 0.06/0.16 % (132780)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=748994134:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.06/0.16 % (132782)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2093775553:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.06/0.16 % (132777)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.06/0.16 % (132783)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=574969002:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.06/0.16 % (132780)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.06/0.16 % Exception at run slice level
% 0.06/0.16 User error: % (132777)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.06/0.16 Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.06/0.16 % (132779)dis+10_1_sil=32000:sp=arity:random_seed=3158423705:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.06/0.16 % (132778) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-132761-132778"...
% 0.06/0.16 % (132780) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-132761-132780"...
% 0.06/0.16 % (132777) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-132761-132777"...
% 0.06/0.16 % (132782) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-132761-132782"...
% 0.06/0.16 % (132783) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-132761-132783"...
% 0.06/0.16 % (132779) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-132761-132779"...
% 0.06/0.16 % (132778)...printing done.
% 0.06/0.16 % (132782)...printing done.
% 0.06/0.16 % (132780)...printing done.
% 0.06/0.16 % (132777)...printing done.
% 0.06/0.16 % (132783)...printing done.
% 0.06/0.16 % (132779)...printing done.
% 0.06/0.16 % (132780)Refutation found. Thanks to Tanya!
% 0.06/0.16 % SZS status Theorem for theBenchmark
% 0.06/0.16 % SZS output start Proof for theBenchmark
% See solution above
% 0.06/0.16 % (132780)------------------------------
% 0.06/0.16 % (132780)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.06/0.16 % (132780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.06/0.16 % (132780)CaDiCaL version: 2.1.3
% 0.06/0.16 % (132780)Termination reason: Refutation
% 0.06/0.16 % (132780)Time elapsed: 0.0000 s
% 0.06/0.16 % (132780)Peak memory usage: 11 MB
% 0.06/0.16 % (132780)Instructions burned: 1 (million)
% 0.06/0.16 % (132761)Success in time 0.025 s
% 0.06/0.16 % Vampire exiting
%------------------------------------------------------------------------------