%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU633_8 : TPTP v9.3.1. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n014.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 : Tue Sep 29 12:54:05 PM UTC 2026
% Result : Theorem 0.12s 0.47s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 39 ( 11 unt; 0 typ; 3 def)
% Number of atoms : 151 ( 2 equ)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 113 ( 42 ~; 38 |; 8 &)
% ( 4 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of FOOLs : 65 ( 53 fml; 12 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 10 ( 8 usr; 7 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 3-3 aty)
% Number of variables : 52 ( 0 sgn 46 !; 6 ?; 52 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_1,type,
sK0: ( $i * $i * $o ) > $i ).
tff(f1,axiom,
( setunionE
= ( ! [X0: $i,X1: $i] :
( in(X1,setunion(X0))
=> ! [X2: $o] :
( ! [X3: $i] :
( in(X1,X3)
=> ( in(X3,X0)
=> (X2) ) )
=> (X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setunionE) ).
tff(f2,conjecture,
( setunionE
=> ! [X0: $i,X1: $i] :
( in(X1,setunion(X0))
=> ? [X2: $i] :
( in(X2,X0)
& in(X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setunionE2) ).
tff(f3,negated_conjecture,
~ ( setunionE
=> ! [X0: $i,X1: $i] :
( in(X1,setunion(X0))
=> ? [X2: $i] :
( in(X2,X0)
& in(X1,X2) ) ) ),
inference(negated_conjecture,[status(cth)],[f2]) ).
tff(f4,plain,
( setunionE
= ( ! [X0: $i,X1: $i] :
( in(X1,setunion(X0))
=> ! [X2: $o] :
( ! [X3: $i] :
( in(X1,X3)
=> ( in(X3,X0)
=> (X2) ) )
=> (X2) ) ) ) ),
inference(rectify,[],[f1]) ).
tff(f5,plain,
( setunionE
<=> ! [X0: $i,X1: $i] :
( in(X1,setunion(X0))
=> ! [X2: $o] :
( ! [X3: $i] :
( in(X1,X3)
=> ( in(X3,X0)
=> (X2) ) )
=> (X2) ) ) ),
inference(flattening,[],[f4]) ).
tff(f6,plain,
( setunionE
=> ! [X0: $i,X1: $i] :
( in(X1,setunion(X0))
=> ! [X2: $o] :
( ! [X3: $i] :
( in(X1,X3)
=> ( in(X3,X0)
=> (X2) ) )
=> (X2) ) ) ),
inference(unused_predicate_definition_removal,[],[f5]) ).
tff(f7,plain,
( ! [X0: $i,X1: $i] :
( ! [X2: $o] :
( (X2)
| ? [X3: $i] :
( ~ (X2)
& in(X3,X0)
& in(X1,X3) ) )
| ~ in(X1,setunion(X0)) )
| ~ setunionE ),
inference(ennf_transformation,[],[f6]) ).
tff(f8,plain,
( ! [X0: $i,X1: $i] :
( ! [X2: $o] :
( (X2)
| ? [X3: $i] :
( ~ (X2)
& in(X3,X0)
& in(X1,X3) ) )
| ~ in(X1,setunion(X0)) )
| ~ setunionE ),
inference(flattening,[],[f7]) ).
tff(f9,plain,
( ? [X0: $i,X1: $i] :
( ! [X2: $i] :
( ~ in(X2,X0)
| ~ in(X1,X2) )
& in(X1,setunion(X0)) )
& setunionE ),
inference(ennf_transformation,[],[f3]) ).
tff(f10,plain,
! [X0: $i,X1: $i] :
( ~ setunionE
| ~ in(X1,setunion(X0))
| in(X1,sK0(X0,X1,$false)) ),
inference(cnf_transformation,[],[f8]) ).
tff(f11,plain,
! [X0: $i,X1: $i] :
( ~ setunionE
| ~ in(X1,setunion(X0))
| in(sK0(X0,X1,$false),X0) ),
inference(cnf_transformation,[],[f8]) ).
tff(f12,plain,
! [X2: $i] :
( ~ in(sK2,X2)
| ~ in(X2,sK1) ),
inference(cnf_transformation,[],[f9]) ).
tff(f13,plain,
in(sK2,setunion(sK1)),
inference(cnf_transformation,[],[f9]) ).
tff(f14,plain,
setunionE,
inference(cnf_transformation,[],[f9]) ).
tff(f17,plain,
! [X0: $i,X1: $i] :
( ~ setunionE
| in(X1,setunion(X0))
| ~ in(sK0(X0,X1,$false),X0) ),
inference(consistent_polarity_flipping,[],[f11]) ).
tff(f18,plain,
! [X0: $i,X1: $i] :
( ~ setunionE
| in(X1,setunion(X0))
| ~ in(X1,sK0(X0,X1,$false)) ),
inference(consistent_polarity_flipping,[],[f10]) ).
tff(f19,plain,
~ in(sK2,setunion(sK1)),
inference(consistent_polarity_flipping,[],[f13]) ).
tff(f20,plain,
! [X2: $i] :
( in(sK2,X2)
| in(X2,sK1) ),
inference(consistent_polarity_flipping,[],[f12]) ).
tff(f22,definition,
( spl3_1
<=> ! [X0: $i,X1: $i] :
( in(X1,setunion(X0))
| ~ in(X1,sK0(X0,X1,$false)) ) ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
tff(f23,plain,
( ! [X0: $i,X1: $i] :
( ~ in(X1,sK0(X0,X1,$false))
| in(X1,setunion(X0)) )
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f22]) ).
tff(f25,definition,
( spl3_2
<=> setunionE ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
tff(f28,plain,
( spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f18,f25,f22]) ).
tff(f30,definition,
( spl3_3
<=> ! [X0: $i,X1: $i] :
( in(X1,setunion(X0))
| ~ in(sK0(X0,X1,$false),X0) ) ),
introduced(definition,[new_symbols(definition,[spl3_3])],[avatar_definition]) ).
tff(f31,plain,
( ! [X0: $i,X1: $i] :
( ~ in(sK0(X0,X1,$false),X0)
| in(X1,setunion(X0)) )
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f30]) ).
tff(f32,plain,
( spl3_3
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f17,f25,f30]) ).
tff(f33,plain,
spl3_2,
inference(avatar_split_clause,[],[f14,f25]) ).
tff(f34,plain,
( ! [X0: $i] :
( in(sK2,sK0(sK1,X0,$false))
| in(X0,setunion(sK1)) )
| ~ spl3_3 ),
inference(resolution,[],[f31,f20]) ).
tff(f35,plain,
( in(sK2,setunion(sK1))
| in(sK2,setunion(sK1))
| ~ spl3_1
| ~ spl3_3 ),
inference(resolution,[],[f34,f23]) ).
tff(f36,plain,
( in(sK2,setunion(sK1))
| ~ spl3_1
| ~ spl3_3 ),
inference(duplicate_literal_removal,[],[f35]) ).
tff(f37,plain,
( $false
| ~ spl3_1
| ~ spl3_3 ),
inference(forward_subsumption_resolution,[],[f36,f19]) ).
tff(f38,plain,
( ~ spl3_1
| ~ spl3_3 ),
inference(avatar_contradiction_clause,[],[f37]) ).
cnf(s1,plain,
( spl3_1
| ~ spl3_2 ),
inference(sat_conversion,[],[f28]) ).
cnf(s2,plain,
( ~ spl3_2
| spl3_3 ),
inference(sat_conversion,[],[f32]) ).
cnf(s3,plain,
spl3_2,
inference(sat_conversion,[],[f33]) ).
cnf(s4,plain,
( ~ spl3_1
| ~ spl3_3 ),
inference(sat_conversion,[],[f38]) ).
cnf(s5,plain,
spl3_3,
inference(rat,[],[s2,s3]) ).
cnf(s6,plain,
~ spl3_1,
inference(rat,[],[s4,s5]) ).
cnf(s7,plain,
$false,
inference(rat,[],[s1,s3,s6]) ).
tff(f39,plain,
$false,
inference(avatar_sat_refutation,[],[s7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU633_8 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.37 % Computer : n014.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 28 05:46:16 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.43 Running first-order model finding
% 0.12/0.43 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
% 0.12/0.47 % (1502764)Will run a generic schedule for satisfiability detection.
% 0.12/0.47 % (1502770)% WARNING: option uhcvi not known.
% 0.12/0.47 % (1502770)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1365599516:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.12/0.47 % (1502770) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1502764-1502770"...
% 0.12/0.47 % (1502770)...printing done.
% 0.12/0.47 % (1502770)Refutation found. Thanks to Tanya!
% 0.12/0.47 % SZS status Theorem for theBenchmark
% 0.12/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.47 % (1502770)------------------------------
% 0.12/0.47 % (1502770)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/0.47 % (1502770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/0.47 % (1502770)CaDiCaL version: 2.1.3
% 0.12/0.47 % (1502770)Termination reason: Refutation
% 0.12/0.47 % (1502770)Time elapsed: 0.002 s
% 0.12/0.47 % (1502770)Peak memory usage: 12 MB
% 0.12/0.47 % (1502770)Instructions burned: 1 (million)
% 0.12/0.47 % (1502764)Success in time 0.026 s
% 0.12/0.47 % Vampire exiting
%------------------------------------------------------------------------------