%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN000^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n026.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 08:41:47 AM UTC 2026
% Result : Theorem 0.07s 0.25s
% Output : Refutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 20 ( 14 unt; 0 typ; 1 def)
% Number of atoms : 44 ( 8 equ; 0 cnn)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 29 ( 13 ~; 3 |; 0 &; 12 @)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 37 ( 34 usr; 13 con; 0-4 aty)
% Number of variables : 8 ( 0 sgn 4 !; 4 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(type_def_6,type,
new: $tType ).
thf(func_def_0,type,
p0: $o ).
thf(func_def_1,type,
q0: $o ).
thf(func_def_2,type,
r0: $o ).
thf(func_def_3,type,
s0: $o ).
thf(func_def_7,type,
f: $i > $i ).
thf(func_def_8,type,
g: $i > $i > $i > $i ).
thf(func_def_9,type,
p: $i > $o ).
thf(func_def_10,type,
q: $i > $i > $o ).
thf(func_def_11,type,
r: $i > $i > $i > $o ).
thf(func_def_12,type,
s: $i > $o ).
thf(func_def_14,type,
'A proposition': $o ).
thf(func_def_15,type,
'A predicate': $i > $o ).
thf(func_def_17,type,
'A function': $i > $i ).
thf(func_def_19,type,
l1: $i > ( $i > $o ) > $o ).
thf(func_def_20,type,
l2: ( $i > ( $i > $i ) > $i ) > $o ).
thf(func_def_21,type,
newc: new ).
thf(func_def_22,type,
newf: new > $i > new ).
thf(func_def_23,type,
newp: new > $i > $o ).
thf(func_def_24,type,
ia1: $o ).
thf(func_def_25,type,
ia2: $o ).
thf(func_def_26,type,
ia3: $o ).
thf(func_def_29,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_30,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_31,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_32,type,
sK0: $i > $i ).
thf(func_def_33,type,
sK1: $i > $i ).
thf(func_def_35,type,
sK3: $i > $i ).
thf(func_def_36,type,
sK4: $i > $i ).
thf(func_def_37,type,
sK5: $i > $i ).
thf(func_def_38,type,
sK6: $i > $i ).
thf(func_def_39,type,
vNOT: $o > $o ).
thf(f11,axiom,
p @ h,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',role_hypothesis) ).
thf(f12,conjecture,
? [X0: $i] : ( p @ X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',role_conjecture) ).
thf(f13,negated_conjecture,
~ ? [X0: $i] : ( p @ X0 ),
inference(negated_conjecture,[status(cth)],[f12]) ).
thf(f32,plain,
p @ h,
inference(rectify,[],[f11]) ).
thf(f33,plain,
( ( p @ h )
= $true ),
inference(fool_elimination,[],[f32]) ).
thf(f34,plain,
~ ? [X0: $i] : ( p @ X0 ),
inference(rectify,[],[f13]) ).
thf(f35,plain,
~ ? [X0: $i] :
( ( p @ X0 )
= $true ),
inference(fool_elimination,[],[f34]) ).
thf(f52,plain,
! [X0: $i] :
( ( p @ X0 )
!= $true ),
inference(ennf_transformation,[],[f35]) ).
thf(f80,plain,
( ( p @ h )
= $true ),
inference(cnf_transformation,[],[f33]) ).
thf(f81,plain,
! [X0: $i] :
( ( p @ X0 )
!= $true ),
inference(cnf_transformation,[],[f52]) ).
thf(f88,definition,
( spl7_1
<=> ! [X0: $i] :
( ( p @ X0 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl7_1])],[avatar_definition]) ).
thf(f89,plain,
( ! [X0: $i] :
( ( p @ X0 )
!= $true )
| ~ spl7_1 ),
inference(avatar_component_clause,[],[f88]) ).
thf(f171,plain,
spl7_1,
inference(avatar_split_clause,[],[f81,f88]) ).
thf(f185,plain,
( ( $true != $true )
| ~ spl7_1 ),
inference(constrained_superposition,[],[f89,f80]) ).
thf(f186,plain,
( $false
| ~ spl7_1 ),
inference(trivial_inequality_removal,[],[f185]) ).
thf(f187,plain,
~ spl7_1,
inference(avatar_contradiction_clause,[],[f186]) ).
cnf(s14,plain,
spl7_1,
inference(sat_conversion,[],[f171]) ).
cnf(s15,plain,
~ spl7_1,
inference(sat_conversion,[],[f187]) ).
cnf(s16,plain,
$false,
inference(rat,[],[s14,s15]) ).
thf(f189,plain,
$false,
inference(avatar_sat_refutation,[],[s16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN000^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.17 % Computer : n026.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Tue Sep 29 16:13:57 UTC 2026
% 0.07/0.17 % CPUTime :
% 0.07/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.20 Running first-order model finding
% 0.07/0.20 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
% 0.07/0.25 % (799020)Will run a generic schedule for satisfiability detection.
% 0.07/0.25 % (799028)dis+10_1_sil=32000:sp=arity:random_seed=1955837743:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.07/0.25 % (799028) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-799020-799028"...
% 0.07/0.25 % (799028)...printing done.
% 0.07/0.25 % (799026)% WARNING: option uhcvi not known.
% 0.07/0.25 % (799028)Refutation found. Thanks to Tanya!
% 0.07/0.25 % SZS status Theorem for theBenchmark
% 0.07/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.25 % (799028)------------------------------
% 0.07/0.25 % (799028)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.25 % (799028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.25 % (799028)CaDiCaL version: 2.1.3
% 0.07/0.25 % (799028)Termination reason: Refutation
% 0.07/0.25 % (799028)Time elapsed: 0.002 s
% 0.07/0.25 % (799028)Peak memory usage: 13 MB
% 0.07/0.25 % (799028)Instructions burned: 7 (million)
% 0.07/0.25 % (799020)Success in time 0.04 s
% 0.07/0.25 % Vampire exiting
%------------------------------------------------------------------------------