%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO315^5 : 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 : n002.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 08:49:43 AM UTC 2026
% Result : Theorem 0.25s 0.32s
% Output : Refutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 2
% Syntax : Number of formulae : 25 ( 9 unt; 0 typ; 1 def)
% Number of atoms : 153 ( 57 equ; 0 cnn)
% Maximal formula atoms : 8 ( 6 avg)
% Number of connectives : 186 ( 46 ~; 19 |; 42 &; 73 @)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 33 ( 33 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 11 usr; 6 con; 0-4 aty)
% Number of variables : 73 ( 0 sgn 25 !; 48 ?; 73 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_4,type,
sK0: $i > $o ).
thf(func_def_5,type,
sK1: $i > $o ).
thf(func_def_8,type,
vNOT: $o > $o ).
thf(func_def_9,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_10,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_11,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(f1,conjecture,
( ? [X0: $i > $o,X1: $i > $o,X2: $i,X3: $i] :
( ~ ( X1 @ z )
& ( X1 @ X3 )
& ~ ( X0 @ X3 )
& ( X0 @ X2 ) )
=> ? [X0: $i > $o,X1: $i > $o,X2: $i,X3: $i] :
( ~ ( X0 @ X3 )
& ( X0 @ X2 )
& ( X1 @ X3 )
& ~ ( X1 @ z ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cSILLYWFF) ).
thf(f2,negated_conjecture,
~ ( ? [X0: $i > $o,X1: $i > $o,X2: $i,X3: $i] :
( ~ ( X1 @ z )
& ( X1 @ X3 )
& ~ ( X0 @ X3 )
& ( X0 @ X2 ) )
=> ? [X0: $i > $o,X1: $i > $o,X2: $i,X3: $i] :
( ~ ( X0 @ X3 )
& ( X0 @ X2 )
& ( X1 @ X3 )
& ~ ( X1 @ z ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ( ? [X0: $i > $o,X1: $i > $o,X2: $i,X3: $i] :
( ~ ( X1 @ z )
& ( X1 @ X3 )
& ~ ( X0 @ X3 )
& ( X0 @ X2 ) )
=> ? [X4: $i > $o,X5: $i > $o,X6: $i,X7: $i] :
( ~ ( X4 @ X7 )
& ( X4 @ X6 )
& ( X5 @ X7 )
& ~ ( X5 @ z ) ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
~ ( ? [X0: $i > $o,X1: $i > $o,X2: $i,X3: $i] :
( ( ( X1 @ z )
!= $true )
& ( ( X1 @ X3 )
= $true )
& ( ( X0 @ X3 )
!= $true )
& ( ( X0 @ X2 )
= $true ) )
=> ? [X4: $i > $o,X5: $i > $o,X6: $i,X7: $i] :
( ( ( X4 @ X7 )
!= $true )
& ( ( X4 @ X6 )
= $true )
& ( ( X5 @ X7 )
= $true )
& ( ( X5 @ z )
!= $true ) ) ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
~ ( ? [X0: $i > $o,X1: $i > $o,X2: $i,X3: $i] :
( ( ( X1 @ z )
!= $true )
& ( ( X1 @ X3 )
= $true )
& ( ( X0 @ X3 )
!= $true )
& ( ( X0 @ X2 )
= $true ) )
=> ? [X4: $i > $o,X5: $i > $o,X6: $i,X7: $i] :
( ( ( X4 @ X7 )
!= $true )
& ( ( X4 @ X6 )
= $true )
& ( ( X5 @ X7 )
= $true )
& ( ( X5 @ z )
!= $true ) ) ),
inference(flattening,[],[f4]) ).
thf(f6,plain,
( ! [X4: $i > $o,X5: $i > $o,X6: $i,X7: $i] :
( ( ( X4 @ X7 )
= $true )
| ( ( X4 @ X6 )
!= $true )
| ( ( X5 @ X7 )
!= $true )
| ( ( X5 @ z )
= $true ) )
& ? [X0: $i > $o,X1: $i > $o,X2: $i,X3: $i] :
( ( ( X1 @ z )
!= $true )
& ( ( X1 @ X3 )
= $true )
& ( ( X0 @ X3 )
!= $true )
& ( ( X0 @ X2 )
= $true ) ) ),
inference(ennf_transformation,[],[f5]) ).
thf(f7,plain,
( ! [X0: $i > $o,X1: $i > $o,X2: $i,X3: $i] :
( ( ( X0 @ X3 )
= $true )
| ( ( X0 @ X2 )
!= $true )
| ( ( X1 @ X3 )
!= $true )
| ( ( X1 @ z )
= $true ) )
& ? [X4: $i > $o,X5: $i > $o,X6: $i,X7: $i] :
( ( ( X5 @ z )
!= $true )
& ( ( X5 @ X7 )
= $true )
& ( ( X4 @ X7 )
!= $true )
& ( ( X4 @ X6 )
= $true ) ) ),
inference(rectify,[],[f6]) ).
thf(f8,plain,
( ! [X0: $i > $o,X1: $i > $o,X2: $i,X3: $i] :
( ( ( X0 @ X3 )
= $true )
| ( ( X0 @ X2 )
!= $true )
| ( ( X1 @ X3 )
!= $true )
| ( ( X1 @ z )
= $true ) )
& ( $true
!= ( sK1 @ z ) )
& ( $true
= ( sK1 @ sK3 ) )
& ( $true
!= ( sK0 @ sK3 ) )
& ( $true
= ( sK0 @ sK2 ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X4,sK0),skolemize(X5,sK1),skolemize(X6,sK2),skolemize(X7,sK3)],[f7]) ).
thf(f11,plain,
( $true
= ( sK1 @ sK3 ) ),
inference(cnf_transformation,[],[f8]) ).
thf(f12,plain,
( $true
!= ( sK1 @ z ) ),
inference(cnf_transformation,[],[f8]) ).
thf(f13,plain,
! [X2: $i,X3: $i,X0: $i > $o,X1: $i > $o] :
( ( ( X1 @ X3 )
!= $true )
| ( ( X0 @ X2 )
!= $true )
| ( ( X0 @ X3 )
= $true )
| ( ( X1 @ z )
= $true ) ),
inference(cnf_transformation,[],[f8]) ).
thf(f16,plain,
! [X2: $i > $o,X0: $i,X1: $i] :
( ( $true
!= ( X2 @ X1 ) )
| ( X0 = X1 )
| ( $true
= ( X2 @ z ) ) ),
inference(leibniz_equality_elimination,[],[f13]) ).
thf(f78,plain,
! [X0: $i,X1: $i] :
( ( z = X0 )
| ( X0 = X1 ) ),
inference(leibniz_equality_elimination,[],[f16]) ).
thf(f147,plain,
! [X0: $i] :
( ( X0 != X0 )
| ( z = X0 ) ),
inference(equality_factoring,[],[f78]) ).
thf(f152,plain,
! [X0: $i] : ( z = X0 ),
inference(trivial_inequality_removal,[],[f147]) ).
thf(f154,definition,
( spl4_4
<=> ! [X0: $i] : ( z = X0 ) ),
introduced(definition,[new_symbols(definition,[spl4_4])],[avatar_definition]) ).
thf(f155,plain,
( ! [X0: $i] : ( z = X0 )
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f154]) ).
thf(f161,plain,
spl4_4,
inference(avatar_split_clause,[],[f152,f154]) ).
thf(f573,plain,
( ( $true
= ( sK1 @ z ) )
| ~ spl4_4 ),
inference(constrained_superposition,[],[f11,f155]) ).
thf(f577,plain,
( $false
| ~ spl4_4 ),
inference(forward_subsumption_resolution,[],[f573,f12]) ).
thf(f578,plain,
~ spl4_4,
inference(avatar_contradiction_clause,[],[f577]) ).
cnf(s4,plain,
spl4_4,
inference(sat_conversion,[],[f161]) ).
cnf(s72,plain,
~ spl4_4,
inference(sat_conversion,[],[f578]) ).
cnf(s92,plain,
$false,
inference(rat,[],[s4,s72]) ).
thf(f582,plain,
$false,
inference(avatar_sat_refutation,[],[s92]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO315^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 % Computer : n002.cluster.edu
% 0.09/0.21 % Model : x86_64 x86_64
% 0.09/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.21 % Memory : 8046.5625MB
% 0.09/0.21 % OS : Linux 6.8.0-71-generic
% 0.09/0.21 % CPULimit : 300
% 0.09/0.21 % WCLimit : 300
% 0.09/0.21 % DateTime : Tue Sep 29 16:47:53 UTC 2026
% 0.09/0.22 % CPUTime :
% 0.09/0.22 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.27 Running first-order model finding
% 0.09/0.27 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
% 0.25/0.32 % (1537891)Will run a generic schedule for satisfiability detection.
% 0.25/0.32 % (1537899)% WARNING: option uhcvi not known.
% 0.25/0.32 % (1537899)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2343908194:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.25/0.32 % (1537899)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.25/0.32 % (1537899)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.25/0.32 % (1537899) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1537891-1537899"...
% 0.25/0.32 % (1537899)...printing done.
% 0.25/0.32 % (1537898)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=244981545_3000 on theBenchmark for (3000ds/0Mi)
% 0.25/0.32 % (1537899)Refutation found. Thanks to Tanya!
% 0.25/0.32 % SZS status Theorem for theBenchmark
% 0.25/0.32 % SZS output start Proof for theBenchmark
% See solution above
% 0.25/0.32 % (1537899)------------------------------
% 0.25/0.32 % (1537899)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.32 % (1537899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.32 % (1537899)CaDiCaL version: 2.1.3
% 0.25/0.32 % (1537899)Termination reason: Refutation
% 0.25/0.32 % (1537899)Time elapsed: 0.012 s
% 0.25/0.32 % (1537899)Peak memory usage: 13 MB
% 0.25/0.32 % (1537899)Instructions burned: 20 (million)
% 0.25/0.32 % (1537891)Success in time 0.033 s
% 0.25/0.32 % Vampire exiting
%------------------------------------------------------------------------------