%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO139^5 : 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 : n007.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 0.19s 0.27s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 10 ( 2 unt; 0 typ; 0 def)
% Number of atoms : 64 ( 17 equ; 0 cnn)
% Maximal formula atoms : 4 ( 6 avg)
% Number of connectives : 68 ( 19 ~; 13 |; 7 &; 29 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 17 ( 0 ^; 7 !; 10 ?; 17 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
cQ: $i > $o ).
thf(func_def_1,type,
cP: $i > $o ).
thf(f1,conjecture,
? [X0: $i] :
( ~ ( cQ @ X0 )
| ( ( cQ @ X0 )
& ? [X1: $i] :
( ~ ( cP @ X1 )
| ( cP @ X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cCOUNTER1) ).
thf(f2,negated_conjecture,
~ ? [X0: $i] :
( ~ ( cQ @ X0 )
| ( ( cQ @ X0 )
& ? [X1: $i] :
( ~ ( cP @ X1 )
| ( cP @ X1 ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ? [X0: $i] :
( ~ ( cQ @ X0 )
| ( ( cQ @ X0 )
& ? [X1: $i] :
( ~ ( cP @ X1 )
| ( cP @ X1 ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
~ ? [X0: $i] :
( ( ( cQ @ X0 )
!= $true )
| ( ( ( cQ @ X0 )
= $true )
& ? [X1: $i] :
( ( ( cP @ X1 )
!= $true )
| ( ( cP @ X1 )
= $true ) ) ) ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
~ ? [X0: $i] :
( ( ( cQ @ X0 )
!= $true )
| ( ( ( cQ @ X0 )
= $true )
& ? [X1: $i] :
( ( ( cP @ X1 )
!= $true )
| ( ( cP @ X1 )
= $true ) ) ) ),
inference(flattening,[],[f4]) ).
thf(f6,plain,
! [X0: $i] :
( ( ( cQ @ X0 )
= $true )
& ( ( ( cQ @ X0 )
!= $true )
| ! [X1: $i] :
( ( ( cP @ X1 )
= $true )
& ( ( cP @ X1 )
!= $true ) ) ) ),
inference(ennf_transformation,[],[f5]) ).
thf(f7,plain,
! [X0: $i,X1: $i] :
( ( ( cQ @ X0 )
!= $true )
| ( ( cP @ X1 )
!= $true ) ),
inference(cnf_transformation,[],[f6]) ).
thf(f8,plain,
! [X0: $i,X1: $i] :
( ( ( cQ @ X0 )
!= $true )
| ( ( cP @ X1 )
= $true ) ),
inference(cnf_transformation,[],[f6]) ).
thf(f9,plain,
! [X0: $i] :
( ( cQ @ X0 )
= $true ),
inference(cnf_transformation,[],[f6]) ).
thf(f12,plain,
$false,
inference(global_subsumption,[],[f9,f8,f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO139^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.18 % Computer : n007.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Tue Sep 29 16:32:56 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.21 Running first-order model finding
% 0.07/0.21 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
% 0.19/0.27 % (3598886)Will run a generic schedule for satisfiability detection.
% 0.19/0.27 % (3598891)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3609414552_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.27 % Exception at run slice level
% 0.19/0.27 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.19/0.27 % (3598892)% WARNING: option uhcvi not known.
% 0.19/0.27 % (3598892)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3747972889:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.27 % (3598893)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=202060069:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.27 % (3598894)dis+10_1_sil=32000:sp=arity:random_seed=1512246033:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.27 % (3598895)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=627490309:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.27 % (3598892)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.19/0.27 % (3598895)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.19/0.27 % (3598892)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.19/0.27 % (3598893) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3598886-3598893"...
% 0.19/0.27 % (3598896)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2482453417:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.27 % (3598895) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3598886-3598895"...
% 0.19/0.27 % (3598894) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3598886-3598894"...
% 0.19/0.27 % (3598892) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3598886-3598892"...
% 0.19/0.27 % (3598896) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3598886-3598896"...
% 0.19/0.27 % (3598893)...printing done.
% 0.19/0.27 % (3598896)...printing done.
% 0.19/0.27 % (3598895)...printing done.
% 0.19/0.27 % (3598894)...printing done.
% 0.19/0.27 % (3598892)...printing done.
% 0.19/0.27 % (3598893)Refutation found. Thanks to Tanya!
% 0.19/0.27 % SZS status Theorem for theBenchmark
% 0.19/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.27 % (3598893)------------------------------
% 0.19/0.27 % (3598893)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.27 % (3598893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.27 % (3598893)CaDiCaL version: 2.1.3
% 0.19/0.27 % (3598893)Termination reason: Refutation
% 0.19/0.27 % (3598893)Time elapsed: 0.001 s
% 0.19/0.27 % (3598893)Peak memory usage: 11 MB
% 0.19/0.27 % (3598886)Success in time 0.04 s
% 0.19/0.27 % Vampire exiting
%------------------------------------------------------------------------------