%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYP116_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 : n008.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 02:33:26 PM UTC 2026
% Result : Unsatisfiable 0.06s 0.24s
% Output : Refutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 14
% Syntax : Number of formulae : 73 ( 10 unt; 0 typ; 8 def)
% Number of atoms : 160 ( 6 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 152 ( 65 ~; 67 |; 4 &)
% ( 8 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number arithmetic : 57 ( 24 atm; 0 fun; 24 num; 9 var)
% Number of types : 2 ( 0 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 16 ( 11 usr; 10 prp; 0-2 aty)
% Number of functors : 3 ( 2 usr; 3 con; 0-0 aty)
% Number of variables : 9 ( 0 sgn 9 !; 0 ?; 9 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
npa: $int ).
tff(func_def_1,type,
npb: $int ).
tff(pred_def_1,type,
p: $int > $o ).
tff(pred_def_2,type,
q: $int > $o ).
tff(pred_def_3,type,
r: $int > $o ).
tff(f1,axiom,
( ( $greatereq(npa,0)
& p(npa) )
=> $false ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
tff(f2,axiom,
( $greatereq(npb,0)
=> p(npb) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
tff(f3,axiom,
( ( $less(npa,0)
& q(npa) )
=> $false ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
tff(f4,axiom,
( $less(npb,0)
=> q(npb) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
tff(f5,axiom,
! [X0: $int] :
( ( ( npa != npb )
& r(X0) )
=> $false ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
tff(f6,axiom,
! [X0: $int] :
( $true
=> r(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
tff(f7,plain,
( ( ~ $less(npa,0)
& p(npa) )
=> $false ),
inference(theory_normalization,[],[f1]) ).
tff(f8,plain,
( ~ $less(npb,0)
=> p(npb) ),
inference(theory_normalization,[],[f2]) ).
tff(f21,plain,
( $false
| $less(npa,0)
| ~ p(npa) ),
inference(ennf_transformation,[],[f7]) ).
tff(f22,plain,
( $false
| $less(npa,0)
| ~ p(npa) ),
inference(flattening,[],[f21]) ).
tff(f23,plain,
( p(npb)
| $less(npb,0) ),
inference(ennf_transformation,[],[f8]) ).
tff(f24,plain,
( $false
| ~ $less(npa,0)
| ~ q(npa) ),
inference(ennf_transformation,[],[f3]) ).
tff(f25,plain,
( $false
| ~ $less(npa,0)
| ~ q(npa) ),
inference(flattening,[],[f24]) ).
tff(f26,plain,
( q(npb)
| ~ $less(npb,0) ),
inference(ennf_transformation,[],[f4]) ).
tff(f27,plain,
! [X0: $int] :
( $false
| ( npa = npb )
| ~ r(X0) ),
inference(ennf_transformation,[],[f5]) ).
tff(f28,plain,
! [X0: $int] :
( $false
| ( npa = npb )
| ~ r(X0) ),
inference(flattening,[],[f27]) ).
tff(f29,plain,
! [X0: $int] :
( r(X0)
| $false ),
inference(ennf_transformation,[],[f6]) ).
tff(f30,plain,
( ~ p(npa)
| $less(npa,0) ),
inference(cnf_transformation,[],[f22]) ).
tff(f31,plain,
( $less(npb,0)
| p(npb) ),
inference(cnf_transformation,[],[f23]) ).
tff(f32,plain,
( ~ q(npa)
| ~ $less(npa,0) ),
inference(cnf_transformation,[],[f25]) ).
tff(f33,plain,
( ~ $less(npb,0)
| q(npb) ),
inference(cnf_transformation,[],[f26]) ).
tff(f34,plain,
! [X0: $int] :
( ~ r(X0)
| ( npa = npb ) ),
inference(cnf_transformation,[],[f28]) ).
tff(f35,plain,
! [X0: $int] : r(X0),
inference(cnf_transformation,[],[f29]) ).
tff(f36,plain,
( p(npa)
| $less(npa,0) ),
inference(consistent_polarity_flipping,[],[f30]) ).
tff(f37,plain,
( $less(npb,0)
| ~ p(npb) ),
inference(consistent_polarity_flipping,[],[f31]) ).
tff(f39,definition,
( spl0_1
<=> ( npa = npb ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
tff(f41,plain,
( ( npa = npb )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f39]) ).
tff(f43,definition,
( spl0_2
<=> ! [X0: $int] : ~ r(X0) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
tff(f44,plain,
( ! [X0: $int] : ~ r(X0)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f43]) ).
tff(f45,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f34,f43,f39]) ).
tff(f47,definition,
( spl0_3
<=> q(npb) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
tff(f49,plain,
( q(npb)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f47]) ).
tff(f51,definition,
( spl0_4
<=> $less(npb,0) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
tff(f52,plain,
( $less(npb,0)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f51]) ).
tff(f53,plain,
( ~ $less(npb,0)
| spl0_4 ),
inference(avatar_component_clause,[],[f51]) ).
tff(f54,plain,
( spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f33,f51,f47]) ).
tff(f56,definition,
( spl0_5
<=> $less(npa,0) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
tff(f60,definition,
( spl0_6
<=> q(npa) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
tff(f62,plain,
( ~ q(npa)
| spl0_6 ),
inference(avatar_component_clause,[],[f60]) ).
tff(f63,plain,
( ~ spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f32,f60,f56]) ).
tff(f65,definition,
( spl0_7
<=> p(npb) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
tff(f67,plain,
( ~ p(npb)
| spl0_7 ),
inference(avatar_component_clause,[],[f65]) ).
tff(f68,plain,
( ~ spl0_7
| spl0_4 ),
inference(avatar_split_clause,[],[f37,f51,f65]) ).
tff(f70,definition,
( spl0_8
<=> p(npa) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
tff(f73,plain,
( spl0_5
| spl0_8 ),
inference(avatar_split_clause,[],[f36,f70,f56]) ).
tff(f74,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f44,f35]) ).
tff(f75,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f74]) ).
tff(f76,plain,
( ~ p(npa)
| ~ spl0_1
| spl0_7 ),
inference(superposition,[],[f67,f41]) ).
tff(f77,plain,
( ~ spl0_8
| ~ spl0_1
| spl0_7 ),
inference(avatar_split_clause,[],[f76,f65,f39,f70]) ).
tff(f78,plain,
( ~ $less(npa,0)
| ~ spl0_1
| spl0_4 ),
inference(forward_demodulation,[],[f53,f41]) ).
tff(f79,plain,
( ~ spl0_5
| ~ spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f78,f51,f39,f56]) ).
tff(f80,plain,
( q(npa)
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f49,f41]) ).
tff(f81,plain,
( $less(npa,0)
| ~ spl0_1
| ~ spl0_4 ),
inference(forward_demodulation,[],[f52,f41]) ).
tff(f82,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f80,f62]) ).
tff(f83,plain,
( ~ spl0_1
| ~ spl0_3
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f82]) ).
tff(f84,plain,
( spl0_5
| ~ spl0_1
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f81,f51,f39,f56]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f45]) ).
cnf(s2,plain,
( spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f54]) ).
cnf(s3,plain,
( ~ spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f63]) ).
cnf(s4,plain,
( spl0_4
| ~ spl0_7 ),
inference(sat_conversion,[],[f68]) ).
cnf(s5,plain,
( spl0_5
| spl0_8 ),
inference(sat_conversion,[],[f73]) ).
cnf(s6,plain,
~ spl0_2,
inference(sat_conversion,[],[f75]) ).
cnf(s7,plain,
( ~ spl0_1
| spl0_7
| ~ spl0_8 ),
inference(sat_conversion,[],[f77]) ).
cnf(s8,plain,
( ~ spl0_1
| spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f79]) ).
cnf(s9,plain,
( ~ spl0_1
| ~ spl0_3
| spl0_6 ),
inference(sat_conversion,[],[f83]) ).
cnf(s10,plain,
( ~ spl0_1
| ~ spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f84]) ).
cnf(s11,plain,
spl0_1,
inference(rat,[],[s1,s6]) ).
cnf(s12,plain,
spl0_4,
inference(rat,[],[s7,s5,s4,s8,s11]) ).
cnf(s13,plain,
spl0_5,
inference(rat,[],[s10,s11,s12]) ).
cnf(s14,plain,
spl0_3,
inference(rat,[],[s2,s12]) ).
cnf(s15,plain,
~ spl0_6,
inference(rat,[],[s3,s13]) ).
cnf(s16,plain,
$false,
inference(rat,[],[s9,s11,s15,s14]) ).
tff(f85,plain,
$false,
inference(avatar_sat_refutation,[],[s16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYP116_1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.06/0.17 % Computer : n008.cluster.edu
% 0.06/0.17 % Model : x86_64 x86_64
% 0.06/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.17 % Memory : 8046.5625MB
% 0.06/0.17 % OS : Linux 6.8.0-71-generic
% 0.06/0.17 % CPULimit : 300
% 0.06/0.17 % WCLimit : 300
% 0.06/0.17 % DateTime : Mon Sep 28 18:47:54 UTC 2026
% 0.06/0.18 % CPUTime :
% 0.06/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.06/0.20 Running first-order model finding
% 0.06/0.20 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
% 0.06/0.24 % (2519320)Will run a generic schedule for satisfiability detection.
% 0.06/0.24 % (2519326)% WARNING: option uhcvi not known.
% 0.06/0.24 % (2519326)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2715625053:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.06/0.24 % (2519326) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2519320-2519326"...
% 0.06/0.24 % (2519326)...printing done.
% 0.06/0.24 % (2519326)Refutation found. Thanks to Tanya!
% 0.06/0.24 % SZS status Unsatisfiable for theBenchmark
% 0.06/0.24 % SZS output start Proof for theBenchmark
% See solution above
% 0.06/0.25 % (2519326)------------------------------
% 0.06/0.25 % (2519326)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.06/0.25 % (2519326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.06/0.25 % (2519326)CaDiCaL version: 2.1.3
% 0.06/0.25 % (2519326)Termination reason: Refutation
% 0.06/0.25 % (2519326)Time elapsed: 0.002 s
% 0.06/0.25 % (2519326)Peak memory usage: 12 MB
% 0.06/0.25 % (2519326)Instructions burned: 2 (million)
% 0.06/0.25 % (2519320)Success in time 0.03 s
% 0.06/0.25 % Vampire exiting
%------------------------------------------------------------------------------