%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV447^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n011.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 08:40:08 AM UTC 2026
% Result : Theorem 0.11s 0.26s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 47 ( 14 equ; 0 cnn)
% Maximal formula atoms : 1 ( 3 avg)
% Number of connectives : 88 ( 8 ~; 0 |; 0 &; 80 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 3 con; 0-4 aty)
% Number of variables : 23 ( 8 ^; 14 !; 1 ?; 23 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_1,type,
cons: $i > $i > $i ).
thf(func_def_2,type,
map: ( $i > $i ) > $i > $i ).
thf(func_def_4,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_5,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(f1,axiom,
! [X0: $i > $i] :
( ( map @ X0 @ nil )
= nil ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
thf(f2,axiom,
! [X0: $i > $i,X1: $i,X2: $i] :
( ( map @ X0 @ ( cons @ X1 @ X2 ) )
= ( cons @ ( X0 @ X1 ) @ ( map @ X0 @ X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
thf(f3,conjecture,
! [X0: $i] :
( ( map
@ ^ [X1: $i] : X1
@ ( cons @ X0 @ nil ) )
= ( cons @ X0 @ nil ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',test) ).
thf(f4,negated_conjecture,
~ ! [X0: $i] :
( ( map
@ ^ [X1: $i] : X1
@ ( cons @ X0 @ nil ) )
= ( cons @ X0 @ nil ) ),
inference(negated_conjecture,[status(cth)],[f3]) ).
thf(f5,plain,
~ ! [X0: $i] :
( ( map
@ ^ [X1: $i] : X1
@ ( cons @ X0 @ nil ) )
= ( cons @ X0 @ nil ) ),
inference(rectify,[],[f4]) ).
thf(f6,plain,
~ ! [X0: $i] :
( ( cons @ X0 @ nil )
= ( map
@ ^ [Y0: $i] : Y0
@ ( cons @ X0 @ nil ) ) ),
inference(fool_elimination,[],[f5]) ).
thf(f7,plain,
? [X0: $i] :
( ( cons @ X0 @ nil )
!= ( map
@ ^ [Y0: $i] : Y0
@ ( cons @ X0 @ nil ) ) ),
inference(ennf_transformation,[],[f6]) ).
thf(f8,plain,
( ( cons @ sK0 @ nil )
!= ( map
@ ^ [Y0: $i] : Y0
@ ( cons @ sK0 @ nil ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f7]) ).
thf(f9,plain,
! [X0: $i > $i] :
( nil
= ( map @ X0 @ nil ) ),
inference(cnf_transformation,[],[f1]) ).
thf(f10,plain,
! [X2: $i,X0: $i > $i,X1: $i] :
( ( map @ X0 @ ( cons @ X1 @ X2 ) )
= ( cons @ ( X0 @ X1 ) @ ( map @ X0 @ X2 ) ) ),
inference(cnf_transformation,[],[f2]) ).
thf(f11,plain,
( ( cons @ sK0 @ nil )
!= ( map
@ ^ [Y0: $i] : Y0
@ ( cons @ sK0 @ nil ) ) ),
inference(cnf_transformation,[],[f8]) ).
thf(f12,plain,
! [X0: $i > $i,X1: $i] :
( ( map @ X0 @ ( cons @ X1 @ nil ) )
= ( cons @ ( X0 @ X1 ) @ nil ) ),
inference(constrained_superposition,[],[f10,f9]) ).
thf(f24,plain,
( ( cons @ sK0 @ nil )
!= ( cons
@ ( ^ [Y0: $i] : Y0
@ sK0 )
@ nil ) ),
inference(constrained_superposition,[],[f11,f12]) ).
thf(f31,plain,
( ( cons @ sK0 @ nil )
!= ( cons @ sK0 @ nil ) ),
inference(beta-eta_normalization,[],[f24]) ).
thf(f32,plain,
$false,
inference(trivial_inequality_removal,[],[f31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV447^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.17 % Computer : n011.cluster.edu
% 0.11/0.17 % Model : x86_64 x86_64
% 0.11/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.17 % Memory : 8046.5625MB
% 0.11/0.17 % OS : Linux 6.8.0-71-generic
% 0.11/0.18 % CPULimit : 300
% 0.11/0.18 % WCLimit : 300
% 0.11/0.18 % DateTime : Tue Sep 29 16:04:46 UTC 2026
% 0.11/0.18 % CPUTime :
% 0.11/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.21 Running first-order model finding
% 0.11/0.21 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
% 0.11/0.26 % (267988)Will run a generic schedule for satisfiability detection.
% 0.11/0.26 % (267995)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1265066964:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.11/0.26 % (267995) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-267988-267995"...
% 0.11/0.26 % (267995)...printing done.
% 0.11/0.26 % (267994)% WARNING: option uhcvi not known.
% 0.11/0.26 % (267995)Refutation found. Thanks to Tanya!
% 0.11/0.26 % SZS status Theorem for theBenchmark
% 0.11/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.26 % (267995)------------------------------
% 0.11/0.26 % (267995)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.26 % (267995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.26 % (267995)CaDiCaL version: 2.1.3
% 0.11/0.26 % (267995)Termination reason: Refutation
% 0.11/0.26 % (267995)Time elapsed: 0.002 s
% 0.11/0.26 % (267995)Peak memory usage: 12 MB
% 0.11/0.26 % (267995)Instructions burned: 5 (million)
% 0.11/0.26 % (267988)Success in time 0.038 s
% 0.11/0.26 % Vampire exiting
%------------------------------------------------------------------------------