%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CSR135^1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n015.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 07:47:17 AM UTC 2026
% Result : Theorem 0.09s 0.26s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 9 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 45 ( 8 equ; 0 cnn)
% Maximal formula atoms : 4 ( 5 avg)
% Number of connectives : 41 ( 9 ~; 2 |; 4 &; 26 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 11 usr; 5 con; 0-4 aty)
% Number of variables : 8 ( 2 ^; 2 !; 4 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
num: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_6,type,
likes_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_7,type,
parent_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_9,type,
vNOT: $o > $o ).
thf(func_def_12,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_13,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_14,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_15,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(f9,conjecture,
? [X0: $i > $i > $o] :
( ( X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
& ( X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
thf(f10,negated_conjecture,
~ ? [X0: $i > $i > $o] :
( ( X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
& ( X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(negated_conjecture,[status(cth)],[f9]) ).
thf(f27,plain,
~ ? [X0: $i > $i > $o] :
( ( X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
& ( X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(rectify,[],[f10]) ).
thf(f28,plain,
~ ? [X0: $i > $i > $o] :
( ( ( X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true )
& ( ( X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(fool_elimination,[],[f27]) ).
thf(f29,plain,
! [X0: $i > $i > $o] :
( ( ( X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
!= $true )
| ( ( X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
!= $true ) ),
inference(ennf_transformation,[],[f28]) ).
thf(f38,plain,
! [X0: $i > $i > $o] :
( ( ( X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
!= $true )
| ( ( X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
!= $true ) ),
inference(cnf_transformation,[],[f29]) ).
thf(f47,plain,
( $true
!= ( ^ [Y0: $i,Y1: $i] : $true
@ lMary_THFTYPE_i
@ lBill_THFTYPE_i ) ),
inference(equality_resolution,[],[f38]) ).
thf(f48,plain,
$true != $true,
inference(beta-eta_normalization,[],[f47]) ).
thf(f49,plain,
$false,
inference(trivial_inequality_removal,[],[f48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR135^1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.17 % Computer : n015.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Sep 29 17:59:18 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 Running first-order model finding
% 0.09/0.21 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
% 0.09/0.26 % (3887438)Will run a generic schedule for satisfiability detection.
% 0.09/0.26 % (3887444)% WARNING: option uhcvi not known.
% 0.09/0.26 % (3887449)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1585377561:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.26 % (3887445)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3895611667:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.26 % (3887446)dis+10_1_sil=32000:sp=arity:random_seed=4228367410:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.26 % (3887443)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=995155415_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.26 % (3887447)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2512819506:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.26 % Exception at run slice level% (3887449) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3887438-3887449"...
% 0.09/0.26 % (3887447)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.09/0.26
% 0.09/0.26 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.09/0.26 % (3887446) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3887438-3887446"...
% 0.09/0.26 % (3887445) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3887438-3887445"...
% 0.09/0.26 % (3887449)...printing done.
% 0.09/0.26 % (3887447) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3887438-3887447"...
% 0.09/0.26 % (3887444)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1419660729:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.26 % (3887449)Refutation found. Thanks to Tanya!
% 0.09/0.26 % SZS status Theorem for theBenchmark
% 0.09/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.26 % (3887449)------------------------------
% 0.09/0.26 % (3887449)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.26 % (3887449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.26 % (3887449)CaDiCaL version: 2.1.3
% 0.09/0.26 % (3887449)Termination reason: Refutation
% 0.09/0.26 % (3887449)Time elapsed: 0.001 s
% 0.09/0.26 % (3887449)Peak memory usage: 12 MB
% 0.09/0.26 % (3887449)Instructions burned: 1 (million)
% 0.09/0.26 % (3887438)Success in time 0.042 s
% 0.09/0.26 % Vampire exiting
%------------------------------------------------------------------------------