%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO691-1.000 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n015.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 02:32:26 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.24s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 22 ( 9 unt; 0 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 46 ( 25 ~; 21 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 59 ( 59 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : top(f(f(X0,X1),f(X2,a)),f(f(X2,f(X1,a)),X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_1) ).
fof(f2,negated_conjecture,
! [X0] : ~ seq(succ(succ(succ(zero))),X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove) ).
fof(f3,axiom,
! [X0,X1] :
( ~ top(X0,X1)
| step(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rewrite_top) ).
fof(f4,axiom,
! [X2,X0,X1] :
( step(f(X0,X2),f(X1,X2))
| ~ step(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rewrite_left) ).
fof(f5,axiom,
! [X2,X0,X1] :
( step(f(X2,X0),f(X2,X1))
| ~ step(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rewrite_right) ).
fof(f6,axiom,
! [X0] : seq(zero,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rewrite_sequence_zero) ).
fof(f7,axiom,
! [X2,X3,X0,X1] :
( ~ seq(X0,X1,X2)
| ~ step(X2,X3)
| seq(succ(X0),X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rewrite_sequence_succ) ).
fof(f8,plain,
! [X2,X0,X1] : ~ top(f(f(X0,X1),f(X2,a)),f(f(X2,f(X1,a)),X0)),
inference(consistent_polarity_flipping,[],[f1]) ).
fof(f9,plain,
! [X0] : seq(succ(succ(succ(zero))),X0,X0),
inference(consistent_polarity_flipping,[],[f2]) ).
fof(f10,plain,
! [X0,X1] :
( top(X0,X1)
| step(X0,X1) ),
inference(consistent_polarity_flipping,[],[f3]) ).
fof(f11,plain,
! [X0] : ~ seq(zero,X0,X0),
inference(consistent_polarity_flipping,[],[f6]) ).
fof(f12,plain,
! [X2,X3,X0,X1] :
( ~ seq(succ(X0),X1,X3)
| ~ step(X2,X3)
| seq(X0,X1,X2) ),
inference(consistent_polarity_flipping,[],[f7]) ).
fof(f13,plain,
! [X0,X1] :
( seq(succ(succ(zero)),X1,X0)
| ~ step(X0,X1) ),
inference(resolution,[],[f12,f9]) ).
fof(f14,plain,
! [X2,X0,X1] : step(f(f(X0,X1),f(X2,a)),f(f(X2,f(X1,a)),X0)),
inference(resolution,[],[f8,f10]) ).
fof(f15,plain,
! [X2,X0,X1] :
( ~ step(X2,X0)
| ~ step(X0,X1)
| seq(succ(zero),X1,X2) ),
inference(resolution,[],[f13,f12]) ).
fof(f16,plain,
! [X2,X3,X0,X1] :
( ~ step(f(X0,X1),X2)
| seq(succ(zero),X2,f(X3,X1))
| ~ step(X3,X0) ),
inference(resolution,[],[f15,f4]) ).
fof(f20,plain,
! [X2,X3,X0,X1] :
( seq(succ(zero),f(X0,X1),f(X2,X3))
| ~ step(X2,X0)
| ~ step(X3,X1) ),
inference(resolution,[],[f16,f5]) ).
fof(f29,plain,
! [X2,X3,X0,X1,X4] :
( ~ step(X4,f(X0,X2))
| ~ step(X2,X3)
| ~ step(X0,X1)
| seq(zero,f(X1,X3),X4) ),
inference(resolution,[],[f20,f12]) ).
fof(f40,plain,
! [X2,X3,X0,X1,X4] :
( seq(zero,f(X4,X1),f(f(X0,X3),f(X2,a)))
| ~ step(f(X2,f(X3,a)),X4)
| ~ step(X0,X1) ),
inference(resolution,[],[f29,f14]) ).
fof(f88,plain,
! [X2,X0,X1] :
( ~ step(f(X0,f(X1,a)),f(X2,X1))
| ~ step(X2,f(X0,a)) ),
inference(resolution,[],[f40,f11]) ).
fof(f90,plain,
! [X0,X1] : ~ step(f(X0,f(X1,a)),f(f(X0,X1),a)),
inference(resolution,[],[f88,f14]) ).
fof(f99,plain,
$false,
inference(resolution,[],[f90,f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO691-1.000 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.16 % Computer : n015.cluster.edu
% 0.10/0.16 % Model : x86_64 x86_64
% 0.10/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.16 % Memory : 8046.5625MB
% 0.10/0.16 % OS : Linux 6.8.0-71-generic
% 0.10/0.16 % CPULimit : 300
% 0.10/0.16 % WCLimit : 300
% 0.10/0.16 % DateTime : Mon Sep 28 18:12:09 UTC 2026
% 0.10/0.16 % CPUTime :
% 0.10/0.16 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.19 Running first-order model finding
% 0.10/0.19 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
% 0.10/0.24 % (2855248)Will run a generic schedule for satisfiability detection.
% 0.10/0.24 % (2855264)% WARNING: option uhcvi not known.
% 0.10/0.24 % (2855264)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=332515969:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.10/0.24 % (2855264) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2855248-2855264"...
% 0.10/0.24 % (2855264)...printing done.
% 0.10/0.24 % (2855264)Refutation found. Thanks to Tanya!
% 0.10/0.24 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.24 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.24 % (2855264)------------------------------
% 0.10/0.24 % (2855264)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.24 % (2855264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.24 % (2855264)CaDiCaL version: 2.1.3
% 0.10/0.24 % (2855264)Termination reason: Refutation
% 0.10/0.24 % (2855264)Time elapsed: 0.005 s
% 0.10/0.24 % (2855264)Peak memory usage: 11 MB
% 0.10/0.24 % (2855264)Instructions burned: 7 (million)
% 0.10/0.24 % (2855248)Success in time 0.034 s
% 0.10/0.24 % Vampire exiting
%------------------------------------------------------------------------------