%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO614-1 : TPTP v9.3.1. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n004.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 02:32:13 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.25s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 35 ( 8 unt; 2 def)
% Number of atoms : 66 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 57 ( 26 ~; 29 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 41 ( 0 sgn 41 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : le(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_01) ).
fof(f2,axiom,
! [X2,X0,X1] :
( ~ le(max(X0,X1),X2)
| le(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_02) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ le(max(X0,X1),X2)
| le(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_03) ).
fof(f4,axiom,
! [X0] :
( eq(f(X0),a0)
| eq(f(X0),a1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_04) ).
fof(f5,axiom,
! [X0,X1] :
( ~ eq(f(X0),a0)
| ~ eq(f(X1),a0)
| ~ le(s(X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_05) ).
fof(f6,axiom,
! [X0,X1] :
( ~ eq(f(X0),a1)
| ~ eq(f(X1),a1)
| ~ le(s(X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_06) ).
fof(f7,plain,
! [X0] :
( ~ eq(f(X0),a1)
| ~ eq(f(X0),a0) ),
inference(consistent_polarity_flipping,[],[f4]) ).
fof(f8,plain,
! [X0,X1] :
( ~ le(s(X0),X1)
| eq(f(X1),a0)
| eq(f(X0),a0) ),
inference(consistent_polarity_flipping,[],[f5]) ).
fof(f9,plain,
! [X0,X1] :
( ~ le(s(X0),X1)
| eq(f(X1),a1)
| eq(f(X0),a1) ),
inference(consistent_polarity_flipping,[],[f6]) ).
fof(f10,plain,
! [X0,X1] : le(X0,max(X0,X1)),
inference(resolution,[],[f2,f1]) ).
fof(f11,plain,
! [X0,X1] : le(X0,max(X1,X0)),
inference(resolution,[],[f3,f1]) ).
fof(f12,plain,
! [X0] :
( eq(f(s(X0)),a0)
| eq(f(X0),a0) ),
inference(resolution,[],[f8,f1]) ).
fof(f16,plain,
! [X0,X1] :
( eq(f(max(s(X0),X1)),a1)
| eq(f(X0),a1) ),
inference(resolution,[],[f10,f9]) ).
fof(f17,plain,
! [X0,X1] :
( eq(f(max(s(X0),X1)),a0)
| eq(f(X0),a0) ),
inference(resolution,[],[f10,f8]) ).
fof(f20,plain,
! [X0,X1] :
( eq(f(max(X0,s(X1))),a1)
| eq(f(X1),a1) ),
inference(resolution,[],[f11,f9]) ).
fof(f41,plain,
! [X0,X1] :
( ~ eq(f(max(s(X0),X1)),a0)
| eq(f(X0),a1) ),
inference(resolution,[],[f16,f7]) ).
fof(f42,plain,
! [X0,X1] :
( ~ eq(f(max(X1,s(X0))),a0)
| eq(f(X0),a1) ),
inference(resolution,[],[f20,f7]) ).
fof(f78,definition,
( spl0_1
<=> ! [X1] : eq(f(X1),a0) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f79,plain,
( ! [X1] : eq(f(X1),a0)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f81,definition,
( spl0_2
<=> ! [X0] : eq(f(X0),a1) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f82,plain,
( ! [X0] : eq(f(X0),a1)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f84,plain,
! [X0,X1] :
( eq(f(X0),a1)
| eq(f(X1),a0) ),
inference(resolution,[],[f42,f17]) ).
fof(f86,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f84,f81,f78]) ).
fof(f88,plain,
( ! [X0] : ~ eq(f(X0),a0)
| ~ spl0_2 ),
inference(backward_subsumption_resolution,[],[f7,f82]) ).
fof(f92,plain,
( ! [X0] : eq(f(s(X0)),a0)
| ~ spl0_2 ),
inference(backward_subsumption_resolution,[],[f12,f88]) ).
fof(f98,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f92,f88]) ).
fof(f99,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f98]) ).
fof(f101,plain,
( ! [X0] : eq(f(X0),a1)
| ~ spl0_1 ),
inference(backward_subsumption_resolution,[],[f41,f79]) ).
fof(f104,plain,
( spl0_2
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f101,f78,f81]) ).
cnf(s2,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f86]) ).
cnf(s5,plain,
~ spl0_2,
inference(sat_conversion,[],[f99]) ).
cnf(s6,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f104]) ).
cnf(s9,plain,
~ spl0_1,
inference(rat,[],[s6,s5]) ).
cnf(s10,plain,
$false,
inference(rat,[],[s2,s5,s9]) ).
fof(f105,plain,
$false,
inference(avatar_sat_refutation,[],[s10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO614-1 : TPTP v9.3.1. Released v7.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n004.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 17:56:12 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 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
% 0.08/0.25 % (598303)Will run a generic schedule for satisfiability detection.
% 0.08/0.25 % (598309)% WARNING: option uhcvi not known.
% 0.08/0.25 % (598309)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=424181587:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.25 % (598309) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-598303-598309"...
% 0.08/0.25 % (598309)...printing done.
% 0.08/0.25 % (598309)Refutation found. Thanks to Tanya!
% 0.08/0.25 % SZS status Unsatisfiable for theBenchmark
% 0.08/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.25 % (598309)------------------------------
% 0.08/0.25 % (598309)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.25 % (598309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.25 % (598309)CaDiCaL version: 2.1.3
% 0.08/0.25 % (598309)Termination reason: Refutation
% 0.08/0.25 % (598309)Time elapsed: 0.002 s
% 0.08/0.25 % (598309)Peak memory usage: 12 MB
% 0.08/0.25 % (598309)Instructions burned: 3 (million)
% 0.08/0.25 % (598303)Success in time 0.03 s
% 0.08/0.25 % Vampire exiting
%------------------------------------------------------------------------------