%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO549^1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n008.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 08:50:24 AM UTC 2026
% Result : Theorem 0.20s 0.28s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 15 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 61 ( 9 equ; 0 cnn)
% Maximal formula atoms : 3 ( 4 avg)
% Number of connectives : 67 ( 27 ~; 0 |; 0 &; 40 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 7 usr; 2 con; 0-4 aty)
% Number of variables : 12 ( 12 ^; 0 !; 0 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
p: ( $o > $o ) > ( $o > $o ) > $o ).
thf(func_def_1,type,
f: $o > $o ).
thf(func_def_2,type,
g: $o > $o ).
thf(func_def_4,type,
vNOT: $o > $o ).
thf(func_def_5,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_6,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(f1,axiom,
( p
@ ^ [X0: $o] :
( f
@ ~ ~ X0 )
@ g ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pfg) ).
thf(f2,conjecture,
( p @ f
@ ^ [X0: $o] :
( g
@ ~ ~ X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pfgc) ).
thf(f3,negated_conjecture,
~ ( p @ f
@ ^ [X0: $o] :
( g
@ ~ ~ X0 ) ),
inference(negated_conjecture,[status(cth)],[f2]) ).
thf(f4,plain,
( p
@ ^ [X0: $o] :
( f
@ ~ ~ X0 )
@ g ),
inference(rectify,[],[f1]) ).
thf(f5,plain,
( ( p
@ ^ [Y0: $o] :
( f
@ ~ ~ Y0 )
@ g )
= $true ),
inference(fool_elimination,[],[f4]) ).
thf(f6,plain,
~ ( p @ f
@ ^ [X0: $o] :
( g
@ ~ ~ X0 ) ),
inference(rectify,[],[f3]) ).
thf(f7,plain,
( $true
!= ( p @ f
@ ^ [Y0: $o] :
( g
@ ~ ~ Y0 ) ) ),
inference(fool_elimination,[],[f6]) ).
thf(f8,plain,
( $true
!= ( p @ f
@ ^ [Y0: $o] :
( g
@ ~ ~ Y0 ) ) ),
inference(flattening,[],[f7]) ).
thf(f9,plain,
( ( p
@ ^ [Y0: $o] :
( f
@ ~ ~ Y0 )
@ g )
= $true ),
inference(cnf_transformation,[],[f5]) ).
thf(f10,plain,
( $true
!= ( p @ f
@ ^ [Y0: $o] :
( g
@ ~ ~ Y0 ) ) ),
inference(cnf_transformation,[],[f8]) ).
thf(f13,plain,
( $true
!= ( p @ f
@ ^ [Y0: $o] : ( g @ Y0 ) ) ),
inference(boolean_simplification,[],[f10]) ).
thf(f14,plain,
( $true
!= ( p @ f @ g ) ),
inference(beta-eta_normalization,[],[f13]) ).
thf(f15,plain,
( $true
= ( p
@ ^ [Y0: $o] : ( f @ Y0 )
@ g ) ),
inference(boolean_simplification,[],[f9]) ).
thf(f16,plain,
( $true
= ( p @ f @ g ) ),
inference(beta-eta_normalization,[],[f15]) ).
thf(f17,plain,
$false,
inference(global_subsumption,[],[f16,f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO549^1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n008.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 17:15:09 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 Running first-order model finding
% 0.08/0.23 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
% 0.20/0.28 % (3453135)Will run a generic schedule for satisfiability detection.
% 0.20/0.28 % (3453140)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1697414927_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.28 % Exception at run slice level
% 0.20/0.28 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.28 % (3453141)% WARNING: option uhcvi not known.
% 0.20/0.28 % (3453141)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2373200363:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.28 % (3453142)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1144673951:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.28 % (3453143)dis+10_1_sil=32000:sp=arity:random_seed=1616003330:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.28 % (3453144)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3903227020:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.28 % (3453141)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.20/0.28 % (3453141)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.20/0.28 % (3453144)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.20/0.28 % (3453142) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3453135-3453142"...
% 0.20/0.28 % (3453144) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3453135-3453144"...
% 0.20/0.28 % (3453143) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3453135-3453143"...
% 0.20/0.28 % (3453141) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3453135-3453141"...
% 0.20/0.28 % (3453142)...printing done.
% 0.20/0.28 % (3453144)...printing done.
% 0.20/0.28 % (3453143)...printing done.
% 0.20/0.28 % (3453141)...printing done.
% 0.20/0.28 % (3453148)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1859846587:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.20/0.28 % (3453145)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=60295630:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.28 % (3453142)Refutation found. Thanks to Tanya!
% 0.20/0.28 % SZS status Theorem for theBenchmark
% 0.20/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.28 % (3453142)------------------------------
% 0.20/0.28 % (3453142)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.28 % (3453142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.28 % (3453142)CaDiCaL version: 2.1.3
% 0.20/0.28 % (3453142)Termination reason: Refutation
% 0.20/0.28 % (3453142)Time elapsed: 0.001 s
% 0.20/0.28 % (3453142)Peak memory usage: 11 MB
% 0.20/0.28 % (3453142)Instructions burned: 1 (million)
% 0.20/0.28 % (3453135)Success in time 0.043 s
% 0.20/0.28 % Vampire exiting
%------------------------------------------------------------------------------