%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV402+1 : TPTP v9.3.1. Released v3.3.0.
% 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 : Tue Sep 29 01:21:10 PM UTC 2026
% Result : Theorem 0.25s 0.31s
% Output : Refutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 4 unt; 0 def)
% Number of atoms : 25 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 22 ( 8 ~; 0 |; 11 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 24 ( 15 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X0,X1] : ~ pair_in_list(create_slb,X0,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+2.ax',ax22) ).
fof(f19,conjecture,
! [X0,X1,X2,X3] :
( ( pair_in_list(create_slb,X1,X2)
& strictly_less_than(X2,X3) )
=> pair_in_list(update_slb(create_slb,X3),X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l38_co) ).
fof(f20,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( pair_in_list(create_slb,X1,X2)
& strictly_less_than(X2,X3) )
=> pair_in_list(update_slb(create_slb,X3),X1,X3) ),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f21,plain,
~ ! [X1,X2,X3] :
( ( pair_in_list(create_slb,X1,X2)
& strictly_less_than(X2,X3) )
=> pair_in_list(update_slb(create_slb,X3),X1,X3) ),
inference(rectify,[],[f20]) ).
fof(f30,plain,
? [X1,X2,X3] :
( ~ pair_in_list(update_slb(create_slb,X3),X1,X3)
& pair_in_list(create_slb,X1,X2)
& strictly_less_than(X2,X3) ),
inference(ennf_transformation,[],[f21]) ).
fof(f31,plain,
? [X1,X2,X3] :
( ~ pair_in_list(update_slb(create_slb,X3),X1,X3)
& pair_in_list(create_slb,X1,X2)
& strictly_less_than(X2,X3) ),
inference(flattening,[],[f30]) ).
fof(f38,plain,
? [X0,X1,X2] :
( ~ pair_in_list(update_slb(create_slb,X2),X0,X2)
& pair_in_list(create_slb,X0,X1)
& strictly_less_than(X1,X2) ),
inference(rectify,[],[f31]) ).
fof(f39,plain,
( ~ pair_in_list(update_slb(create_slb,sK2),sK0,sK2)
& pair_in_list(create_slb,sK0,sK1)
& strictly_less_than(sK1,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f38]) ).
fof(f53,plain,
! [X0,X1] : ~ pair_in_list(create_slb,X0,X1),
inference(cnf_transformation,[],[f10]) ).
fof(f66,plain,
pair_in_list(create_slb,sK0,sK1),
inference(cnf_transformation,[],[f39]) ).
fof(f87,plain,
$false,
inference(resolution,[],[f53,f66]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV402+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 % Computer : n011.cluster.edu
% 0.08/0.21 % Model : x86_64 x86_64
% 0.08/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.21 % Memory : 8046.5625MB
% 0.08/0.21 % OS : Linux 6.8.0-71-generic
% 0.08/0.21 % CPULimit : 300
% 0.08/0.21 % WCLimit : 300
% 0.08/0.21 % DateTime : Mon Sep 28 10:50:31 UTC 2026
% 0.08/0.22 % CPUTime :
% 0.08/0.22 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.27 Running first-order model finding
% 0.08/0.27 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
% 0.25/0.31 % (3315114)Will run a generic schedule for satisfiability detection.
% 0.25/0.31 % (3315125)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2421659541:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.25/0.31 % (3315125) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3315114-3315125"...
% 0.25/0.31 % (3315125)...printing done.
% 0.25/0.31 % (3315125)Refutation found. Thanks to Tanya!
% 0.25/0.31 % SZS status Theorem for theBenchmark
% 0.25/0.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.25/0.31 % (3315125)------------------------------
% 0.25/0.31 % (3315125)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.31 % (3315125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.31 % (3315125)CaDiCaL version: 2.1.3
% 0.25/0.31 % (3315125)Termination reason: Refutation
% 0.25/0.31 % (3315125)Time elapsed: 0.002 s
% 0.25/0.31 % (3315125)Peak memory usage: 11 MB
% 0.25/0.31 % (3315125)Instructions burned: 2 (million)
% 0.25/0.31 % (3315114)Success in time 0.025 s
% 0.25/0.31 % Vampire exiting
%------------------------------------------------------------------------------