%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWX186+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 : Tue Sep 29 01:46:39 PM UTC 2026
% Result : Theorem 0.26s 0.36s
% Output : Refutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 9 unt; 0 def)
% Number of atoms : 21 ( 20 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 17 ( 11 ~; 4 |; 0 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 31 ( 25 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] : nil != cons(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_003) ).
fof(f6,axiom,
! [X0] : drop(s(X0),nil) = nil,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_006) ).
fof(f7,axiom,
! [X0,X1,X2] : drop(s(X0),cons(X1,X2)) = drop(X0,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_007) ).
fof(f9,conjecture,
? [X0,X1,X2] :
~ ( drop(X0,X1) = drop(X0,X2)
=> X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal_009) ).
fof(f10,negated_conjecture,
~ ? [X0,X1,X2] :
~ ( drop(X0,X1) = drop(X0,X2)
=> X1 = X2 ),
inference(negated_conjecture,[status(cth)],[f9]) ).
fof(f11,plain,
! [X0,X1,X2] :
( X1 = X2
| drop(X0,X2) != drop(X0,X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f14,plain,
! [X0,X1] : cons(X0,X1) != nil,
inference(cnf_transformation,[],[f3]) ).
fof(f17,plain,
! [X0] : nil = drop(s(X0),nil),
inference(cnf_transformation,[],[f6]) ).
fof(f18,plain,
! [X2,X0,X1] : drop(s(X0),cons(X1,X2)) = drop(X0,X2),
inference(cnf_transformation,[],[f7]) ).
fof(f20,plain,
! [X2,X0,X1] :
( drop(X0,X2) != drop(X0,X1)
| X1 = X2 ),
inference(cnf_transformation,[],[f11]) ).
fof(f27,plain,
! [X0,X1] :
( nil != drop(s(X0),X1)
| nil = X1 ),
inference(superposition,[],[f20,f17]) ).
fof(f28,plain,
! [X2,X0,X1] :
( nil != drop(X0,X1)
| nil = cons(X2,X1) ),
inference(superposition,[],[f27,f18]) ).
fof(f31,plain,
! [X0,X1] : nil != drop(X0,X1),
inference(forward_subsumption_resolution,[],[f28,f14]) ).
fof(f33,plain,
nil != nil,
inference(superposition,[],[f31,f17]) ).
fof(f35,plain,
$false,
inference(trivial_inequality_removal,[],[f33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWX186+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.27 % Computer : n002.cluster.edu
% 0.10/0.27 % Model : x86_64 x86_64
% 0.10/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.27 % Memory : 8046.5625MB
% 0.10/0.27 % OS : Linux 6.8.0-71-generic
% 0.10/0.27 % CPULimit : 300
% 0.10/0.27 % WCLimit : 300
% 0.10/0.27 % DateTime : Mon Sep 28 15:09:07 UTC 2026
% 0.26/0.27 % CPUTime :
% 0.26/0.27 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.26/0.32 Running first-order model finding
% 0.26/0.32 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
% 0.26/0.36 % (427662)Will run a generic schedule for satisfiability detection.
% 0.26/0.36 % (427672)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4106241725:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.26/0.36 % (427672) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-427662-427672"...
% 0.26/0.36 % (427672)...printing done.
% 0.26/0.36 % (427672)Refutation found. Thanks to Tanya!
% 0.26/0.36 % SZS status Theorem for theBenchmark
% 0.26/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.26/0.36 % (427672)------------------------------
% 0.26/0.36 % (427672)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.26/0.36 % (427672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.26/0.36 % (427672)CaDiCaL version: 2.1.3
% 0.26/0.36 % (427672)Termination reason: Refutation
% 0.26/0.36 % (427672)Time elapsed: 0.002 s
% 0.26/0.36 % (427672)Peak memory usage: 11 MB
% 0.26/0.36 % (427672)Instructions burned: 1 (million)
% 0.26/0.36 % (427662)Success in time 0.025 s
% 0.26/0.36 % Vampire exiting
%------------------------------------------------------------------------------