%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CSR135^2 : TPTP v9.3.1. Released v4.1.0.
% 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 07:47:18 AM UTC 2026
% Result : Theorem 0.08s 0.14s
% Output : Refutation 0.08s
% 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(f12,conjecture,
? [X0: $i > $i > $o] :
( ( X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
& ( X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
thf(f13,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)],[f12]) ).
thf(f36,plain,
~ ? [X0: $i > $i > $o] :
( ( X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
& ( X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(rectify,[],[f13]) ).
thf(f37,plain,
~ ? [X0: $i > $i > $o] :
( ( ( X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true )
& ( ( X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(fool_elimination,[],[f36]) ).
thf(f38,plain,
! [X0: $i > $i > $o] :
( ( ( X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
!= $true )
| ( ( X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
!= $true ) ),
inference(ennf_transformation,[],[f37]) ).
thf(f50,plain,
! [X0: $i > $i > $o] :
( ( ( X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
!= $true )
| ( ( X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
!= $true ) ),
inference(cnf_transformation,[],[f38]) ).
thf(f60,plain,
( $true
!= ( ^ [Y0: $i,Y1: $i] : $true
@ lMary_THFTYPE_i
@ lBill_THFTYPE_i ) ),
inference(equality_resolution,[],[f50]) ).
thf(f61,plain,
$true != $true,
inference(beta-eta_normalization,[],[f60]) ).
thf(f62,plain,
$false,
inference(trivial_inequality_removal,[],[f61]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : CSR135^2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.02 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.00/0.10 % Computer : n012.cluster.edu
% 0.00/0.10 % Model : x86_64 x86_64
% 0.00/0.10 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10 % Memory : 8046.5625MB
% 0.00/0.10 % OS : Linux 6.8.0-71-generic
% 0.00/0.10 % CPULimit : 300
% 0.00/0.10 % WCLimit : 300
% 0.00/0.10 % DateTime : Tue Sep 29 17:55:49 UTC 2026
% 0.00/0.10 % CPUTime :
% 0.00/0.10 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.12 Running first-order model finding
% 0.08/0.12 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
% 0.08/0.14 % (462703)Will run a generic schedule for satisfiability detection.
% 0.08/0.14 % (462709)% WARNING: option uhcvi not known.
% 0.08/0.14 % (462709)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2103652228:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.08/0.14 % (462711)dis+10_1_sil=32000:sp=arity:random_seed=3094178911:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.08/0.14 % (462708)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2948307885_3000 on theBenchmark for (3000ds/0Mi)
% 0.08/0.14 % (462713)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3395189939:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.08/0.14 % (462710)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1268329727:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.08/0.14 % (462709)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.08/0.14 % (462714)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2984207006:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.08/0.14 % (462712)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2932828320:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.08/0.14 % (462709)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.08/0.14 % Exception at run slice level
% 0.08/0.14 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.08/0.14 % (462712)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.08/0.14 % (462709) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-462703-462709"...
% 0.08/0.14 % (462711) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-462703-462711"...
% 0.08/0.14 % (462713) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-462703-462713"...
% 0.08/0.14 % (462714) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-462703-462714"...
% 0.08/0.14 % (462710) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-462703-462710"...
% 0.08/0.14 % (462712) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-462703-462712"...
% 0.08/0.14 % (462709)...printing done.
% 0.08/0.14 % (462711)...printing done.
% 0.08/0.14 % (462713)...printing done.
% 0.08/0.14 % (462714)...printing done.
% 0.08/0.14 % (462710)...printing done.
% 0.08/0.14 % (462712)...printing done.
% 0.08/0.14 % (462709)Refutation found. Thanks to Tanya!
% 0.08/0.14 % SZS status Theorem for theBenchmark
% 0.08/0.14 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.14 % (462709)------------------------------
% 0.08/0.14 % (462709)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.14 % (462709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.14 % (462709)CaDiCaL version: 2.1.3
% 0.08/0.14 % (462709)Termination reason: Refutation
% 0.08/0.14 % (462709)Time elapsed: 0.001 s
% 0.08/0.14 % (462709)Peak memory usage: 12 MB
% 0.08/0.14 % (462709)Instructions burned: 1 (million)
% 0.08/0.14 % (462703)Success in time 0.013 s
% 0.08/0.14 % Vampire exiting
%------------------------------------------------------------------------------