%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO134^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n003.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 08:49:01 AM UTC 2026
% Result : Theorem 0.24s 0.36s
% Output : Refutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 3
% Syntax : Number of formulae : 26 ( 8 unt; 0 typ; 2 def)
% Number of atoms : 128 ( 26 equ; 0 cnn)
% Maximal formula atoms : 6 ( 4 avg)
% Number of connectives : 89 ( 21 ~; 12 |; 6 &; 36 @)
% ( 2 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 18 ( 0 sgn 18 !; 0 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_1,type,
cQ: $i > $o ).
thf(func_def_2,type,
cP: $i > $o ).
thf(f1,conjecture,
( ( ( cP @ a )
=> ! [X0: $i] : ( cQ @ X0 ) )
=> ( ! [X0: $i] : ( cP @ X0 )
=> ( cQ @ a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cADDHYP1) ).
thf(f2,negated_conjecture,
~ ( ( ( cP @ a )
=> ! [X0: $i] : ( cQ @ X0 ) )
=> ( ! [X0: $i] : ( cP @ X0 )
=> ( cQ @ a ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ( ( ( cP @ a )
=> ! [X0: $i] : ( cQ @ X0 ) )
=> ( ! [X1: $i] : ( cP @ X1 )
=> ( cQ @ a ) ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
~ ( ( ( ( cP @ a )
= $true )
=> ! [X0: $i] :
( ( cQ @ X0 )
= $true ) )
=> ( ! [X1: $i] :
( ( cP @ X1 )
= $true )
=> ( ( cQ @ a )
= $true ) ) ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
( ( ( cQ @ a )
!= $true )
& ! [X1: $i] :
( ( cP @ X1 )
= $true )
& ( ! [X0: $i] :
( ( cQ @ X0 )
= $true )
| ( ( cP @ a )
!= $true ) ) ),
inference(ennf_transformation,[],[f4]) ).
thf(f6,plain,
( ( ( cQ @ a )
!= $true )
& ! [X1: $i] :
( ( cP @ X1 )
= $true )
& ( ! [X0: $i] :
( ( cQ @ X0 )
= $true )
| ( ( cP @ a )
!= $true ) ) ),
inference(flattening,[],[f5]) ).
thf(f7,plain,
( ( ( cQ @ a )
!= $true )
& ! [X0: $i] :
( ( cP @ X0 )
= $true )
& ( ! [X1: $i] :
( $true
= ( cQ @ X1 ) )
| ( ( cP @ a )
!= $true ) ) ),
inference(rectify,[],[f6]) ).
thf(f8,plain,
! [X1: $i] :
( ( $true
= ( cQ @ X1 ) )
| ( ( cP @ a )
!= $true ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f9,plain,
! [X0: $i] :
( ( cP @ X0 )
= $true ),
inference(cnf_transformation,[],[f7]) ).
thf(f10,plain,
( ( cQ @ a )
!= $true ),
inference(cnf_transformation,[],[f7]) ).
thf(f14,definition,
( spl0_1
<=> ( ( cP @ a )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
thf(f16,plain,
( ( ( cP @ a )
!= $true )
| spl0_1 ),
inference(avatar_component_clause,[],[f14]) ).
thf(f18,definition,
( spl0_2
<=> ! [X1: $i] :
( $true
= ( cQ @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
thf(f19,plain,
( ! [X1: $i] :
( $true
= ( cQ @ X1 ) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f18]) ).
thf(f20,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f8,f18,f14]) ).
thf(f21,plain,
( ( $true != $true )
| spl0_1 ),
inference(constrained_superposition,[],[f16,f9]) ).
thf(f22,plain,
( $false
| spl0_1 ),
inference(trivial_inequality_removal,[],[f21]) ).
thf(f23,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f22]) ).
thf(f24,plain,
( ( $true != $true )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f10,f19]) ).
thf(f25,plain,
( $false
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f24]) ).
thf(f26,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f25]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f20]) ).
cnf(s2,plain,
spl0_1,
inference(sat_conversion,[],[f23]) ).
cnf(s3,plain,
~ spl0_2,
inference(sat_conversion,[],[f26]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s3,s2]) ).
thf(f27,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYO134^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.24/0.27 % Computer : n003.cluster.edu
% 0.24/0.27 % Model : x86_64 x86_64
% 0.24/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.24/0.27 % Memory : 8046.5625MB
% 0.24/0.27 % OS : Linux 6.8.0-71-generic
% 0.24/0.27 % CPULimit : 300
% 0.24/0.27 % WCLimit : 300
% 0.24/0.27 % DateTime : Tue Sep 29 16:36:44 UTC 2026
% 0.24/0.28 % CPUTime :
% 0.24/0.28 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.24/0.31 Running first-order model finding
% 0.24/0.31 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
% 0.24/0.36 % (2717175)Will run a generic schedule for satisfiability detection.
% 0.24/0.36 % (2717180)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3157210253_3000 on theBenchmark for (3000ds/0Mi)
% 0.24/0.36 % Exception at run slice level
% 0.24/0.36 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.24/0.36 % (2717181)% WARNING: option uhcvi not known.
% 0.24/0.36 % (2717186)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1519268801:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.24/0.36 % (2717185)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=809482733:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.24/0.36 % (2717181)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2633944375:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.24/0.36 % (2717182)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2841150196:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.24/0.36 % (2717181)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.24/0.36 % (2717183)dis+10_1_sil=32000:sp=arity:random_seed=1830689486:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.24/0.36 % (2717184)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2844953087:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.24/0.36 % (2717181)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.24/0.36 % (2717184)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.24/0.36 % (2717185) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2717175-2717185"...
% 0.24/0.36 % (2717186) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2717175-2717186"...
% 0.24/0.36 % (2717182) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2717175-2717182"...
% 0.24/0.36 % (2717181) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2717175-2717181"...
% 0.24/0.36 % (2717183) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2717175-2717183"...
% 0.24/0.36 % (2717184) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2717175-2717184"...
% 0.24/0.36 % (2717186)...printing done.
% 0.24/0.36 % (2717182)...printing done.
% 0.24/0.36 % (2717181)...printing done.
% 0.24/0.36 % (2717185)...printing done.
% 0.24/0.36 % (2717183)...printing done.
% 0.24/0.36 % (2717184)...printing done.
% 0.24/0.36 % (2717186)Refutation found. Thanks to Tanya!
% 0.24/0.36 % SZS status Theorem for theBenchmark
% 0.24/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.24/0.36 % (2717186)------------------------------
% 0.24/0.36 % (2717186)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.24/0.36 % (2717186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/0.36 % (2717186)CaDiCaL version: 2.1.3
% 0.24/0.36 % (2717186)Termination reason: Refutation
% 0.24/0.36 % (2717186)Time elapsed: 0.003 s
% 0.24/0.36 % (2717186)Peak memory usage: 12 MB
% 0.24/0.36 % (2717186)Instructions burned: 1 (million)
% 0.24/0.36 % (2717175)Success in time 0.04 s
% 0.24/0.36 % Vampire exiting
%------------------------------------------------------------------------------