%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PUZ136^1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n013.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 08:21:16 AM UTC 2026
% Result : Theorem 0.19s 0.27s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 20 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 62 ( 16 equ; 0 cnn)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 61 ( 18 ~; 2 |; 5 &; 36 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 10 usr; 6 con; 0-4 aty)
% Number of variables : 26 ( 0 ^; 11 !; 15 ?; 26 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
parent: $i > $i > $o ).
thf(func_def_8,type,
vNOT: $o > $o ).
thf(func_def_10,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_11,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_12,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(f1,axiom,
parent @ kronus @ zeus,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
thf(f2,axiom,
~ ( parent @ sutekh @ horus ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
thf(f3,conjecture,
? [X0: $i > $o,X1: $i,X2: $i] :
( ~ ( X0 @ X2 )
& ( X0 @ X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hotwo) ).
thf(f4,negated_conjecture,
~ ? [X0: $i > $o,X1: $i,X2: $i] :
( ~ ( X0 @ X2 )
& ( X0 @ X1 ) ),
inference(negated_conjecture,[status(cth)],[f3]) ).
thf(f5,plain,
parent @ kronus @ zeus,
inference(rectify,[],[f1]) ).
thf(f6,plain,
( ( parent @ kronus @ zeus )
= $true ),
inference(fool_elimination,[],[f5]) ).
thf(f7,plain,
~ ( parent @ sutekh @ horus ),
inference(rectify,[],[f2]) ).
thf(f8,plain,
( ( parent @ sutekh @ horus )
!= $true ),
inference(fool_elimination,[],[f7]) ).
thf(f9,plain,
~ ? [X0: $i > $o,X1: $i,X2: $i] :
( ~ ( X0 @ X2 )
& ( X0 @ X1 ) ),
inference(rectify,[],[f4]) ).
thf(f10,plain,
~ ? [X0: $i > $o,X1: $i,X2: $i] :
( ( ( X0 @ X2 )
!= $true )
& ( ( X0 @ X1 )
= $true ) ),
inference(fool_elimination,[],[f9]) ).
thf(f11,plain,
( ( parent @ sutekh @ horus )
!= $true ),
inference(flattening,[],[f8]) ).
thf(f12,plain,
~ ? [X0: $i > $o,X1: $i,X2: $i] :
( ( ( X0 @ X2 )
!= $true )
& ( ( X0 @ X1 )
= $true ) ),
inference(flattening,[],[f10]) ).
thf(f13,plain,
! [X0: $i > $o,X1: $i,X2: $i] :
( ( ( X0 @ X2 )
= $true )
| ( ( X0 @ X1 )
!= $true ) ),
inference(ennf_transformation,[],[f12]) ).
thf(f14,plain,
( ( parent @ kronus @ zeus )
= $true ),
inference(cnf_transformation,[],[f6]) ).
thf(f15,plain,
( ( parent @ sutekh @ horus )
!= $true ),
inference(cnf_transformation,[],[f11]) ).
thf(f16,plain,
! [X2: $i,X0: $i > $o,X1: $i] :
( ( ( X0 @ X1 )
!= $true )
| ( ( X0 @ X2 )
= $true ) ),
inference(cnf_transformation,[],[f13]) ).
thf(f25,plain,
! [X0: $i,X1: $i] : ( X0 = X1 ),
inference(leibniz_equality_elimination,[],[f16]) ).
thf(f50,plain,
! [X0: $i] :
( $true
!= ( parent @ X0 @ horus ) ),
inference(constrained_superposition,[],[f15,f25]) ).
thf(f54,plain,
! [X0: $i,X1: $i] :
( $true
!= ( parent @ X1 @ X0 ) ),
inference(constrained_superposition,[],[f50,f25]) ).
thf(f494,plain,
$false,
inference(forward_subsumption_resolution,[],[f14,f54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ136^1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n013.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 13:25:51 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 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
% 0.19/0.27 % (2097050)Will run a generic schedule for satisfiability detection.
% 0.19/0.27 % (2097057)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2589202850:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.27 % (2097056)% WARNING: option uhcvi not known.
% 0.19/0.27 % (2097057) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2097050-2097057"...
% 0.19/0.27 % (2097057)...printing done.
% 0.19/0.27 % (2097055)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=113719881_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.27 % (2097056)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=133658695:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.27 % (2097058)dis+10_1_sil=32000:sp=arity:random_seed=762556273:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.27 % (2097057)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 % (2097057)------------------------------
% 0.19/0.27 % (2097057)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.27 % (2097057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.27 % (2097057)CaDiCaL version: 2.1.3
% 0.19/0.27 % (2097057)Termination reason: Refutation
% 0.19/0.27 % (2097057)Time elapsed: 0.006 s
% 0.19/0.27 % (2097057)Peak memory usage: 12 MB
% 0.19/0.27 % (2097057)Instructions burned: 17 (million)
% 0.19/0.27 % (2097050)Success in time 0.041 s
% 0.19/0.27 % Vampire exiting
%------------------------------------------------------------------------------