%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC518_1 : TPTP v9.3.1. Bugfixed v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n012.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 01:06:10 PM UTC 2026
% Result : Theorem 0.09s 0.16s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 14 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 35 ( 5 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 34 ( 13 ~; 9 |; 8 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number arithmetic : 48 ( 16 atm; 0 fun; 24 num; 8 var)
% Number of types : 4 ( 2 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 8 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 22 ( 19 usr; 20 con; 0-2 aty)
% Number of variables : 8 ( 7 !; 1 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
set_0: $tType ).
tff(type_def_6,type,
set_2: $tType ).
tff(func_def_0,type,
min_int: $int ).
tff(func_def_1,type,
max_int: $int ).
tff(func_def_5,type,
divB: ( $int * $int ) > $int ).
tff(func_def_8,type,
g_s0_0: set_0 ).
tff(func_def_9,type,
g_s1_1: $int ).
tff(func_def_10,type,
g_s2_2: $int ).
tff(func_def_11,type,
g_s4_3: set_0 ).
tff(func_def_12,type,
g_s3_4: $int ).
tff(func_def_13,type,
g_s6_5: set_0 ).
tff(func_def_14,type,
g_s5_6: $int ).
tff(func_def_15,type,
g_s8_7: set_0 ).
tff(func_def_16,type,
g_s7_8: $int ).
tff(func_def_17,type,
g_s9_9: $int ).
tff(func_def_18,type,
g_s10_10: $int ).
tff(func_def_19,type,
g_s11_11: set_0 ).
tff(func_def_20,type,
set_2_empty: set_2 ).
tff(func_def_21,type,
set_2_insert: set_2 > set_2 ).
tff(func_def_22,type,
g_s12_12: set_2 ).
tff(func_def_31,type,
bG0: $o > $o ).
tff(func_def_32,type,
sK1: $int ).
tff(pred_def_1,type,
mem0: ( $int * set_0 ) > $o ).
tff(pred_def_4,type,
mem2: ( $o * $int * set_2 ) > $o ).
tff(f13,axiom,
! [X0: $int] :
( mem0(X0,g_s4_3)
<=> ( $greatereq(X0,0)
& $lesseq(X0,4294967295) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Define:ctx:14') ).
tff(f24,conjecture,
! [X0: $int] :
( ( X0 = 587792384 )
=> mem0(X0,g_s4_3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Goal') ).
tff(f25,negated_conjecture,
~ ! [X0: $int] :
( ( X0 = 587792384 )
=> mem0(X0,g_s4_3) ),
inference(negated_conjecture,[status(cth)],[f24]) ).
tff(f32,plain,
! [X0: $int] :
( mem0(X0,g_s4_3)
<=> ( ~ $less(X0,0)
& ~ $less(4294967295,X0) ) ),
inference(theory_normalization,[],[f13]) ).
tff(f62,plain,
? [X0: $int] :
( ~ mem0(X0,g_s4_3)
& ( X0 = 587792384 ) ),
inference(ennf_transformation,[],[f25]) ).
tff(f70,plain,
! [X0: $int] :
( ( mem0(X0,g_s4_3)
| $less(X0,0)
| $less(4294967295,X0) )
& ( ( ~ $less(X0,0)
& ~ $less(4294967295,X0) )
| ~ mem0(X0,g_s4_3) ) ),
inference(nnf_transformation,[],[f32]) ).
tff(f71,plain,
! [X0: $int] :
( ( mem0(X0,g_s4_3)
| $less(X0,0)
| $less(4294967295,X0) )
& ( ( ~ $less(X0,0)
& ~ $less(4294967295,X0) )
| ~ mem0(X0,g_s4_3) ) ),
inference(flattening,[],[f70]) ).
tff(f76,plain,
( ~ mem0(sK1,g_s4_3)
& ( 587792384 = sK1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X0,sK1)],[f62]) ).
tff(f104,plain,
! [X0: $int] :
( mem0(X0,g_s4_3)
| $less(X0,0)
| $less(4294967295,X0) ),
inference(cnf_transformation,[],[f71]) ).
tff(f120,plain,
587792384 = sK1,
inference(cnf_transformation,[],[f76]) ).
tff(f121,plain,
~ mem0(sK1,g_s4_3),
inference(cnf_transformation,[],[f76]) ).
tff(f129,plain,
~ mem0(587792384,g_s4_3),
inference(definition_unfolding,[],[f121,f120]) ).
tff(f237,plain,
( $less(587792384,0)
| $less(4294967295,587792384) ),
inference(resolution,[],[f104,f129]) ).
tff(f240,plain,
$false,
inference(evaluation,[],[f237]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWC518_1 : TPTP v9.3.1. Bugfixed v9.1.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.00/0.11 % Computer : n012.cluster.edu
% 0.00/0.11 % Model : x86_64 x86_64
% 0.00/0.11 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11 % Memory : 8046.5625MB
% 0.00/0.11 % OS : Linux 6.8.0-71-generic
% 0.00/0.11 % CPULimit : 300
% 0.00/0.11 % WCLimit : 300
% 0.00/0.11 % DateTime : Mon Sep 28 09:41:19 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.13 Running first-order model finding
% 0.09/0.13 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
% 0.09/0.16 % (3265501)Will run a generic schedule for satisfiability detection.
% 0.09/0.16 % (3265513)% WARNING: option uhcvi not known.
% 0.09/0.16 % (3265512)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=651005234_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.16 % (3265514)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2327685269:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.16 % (3265515)dis+10_1_sil=32000:sp=arity:random_seed=940521026:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.16 % (3265517)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1354168844:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.16 % (3265518)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2098547140:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.16 % (3265512)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.09/0.16 % (3265512)Terminated due to inappropriate strategy.
% 0.09/0.16 % (3265512)------------------------------
% 0.09/0.16 % (3265512)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.16 % (3265512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.16 % (3265512)CaDiCaL version: 2.1.3
% 0.09/0.16 % (3265512)Termination reason: Inappropriate
% 0.09/0.16 % (3265512)Time elapsed: 0.001 s
% 0.09/0.16 % (3265512)Peak memory usage: 10 MB
% 0.09/0.16 % (3265512)Instructions burned: 2 (million)
% 0.09/0.16 % (3265513)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1804100491:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.16 % (3265512)------------------------------
% 0.09/0.16 % (3265512)------------------------------
% 0.09/0.16 % (3265517) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3265501-3265517"...
% 0.09/0.16 % (3265515) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3265501-3265515"...
% 0.09/0.16 % (3265517)...printing done.
% 0.09/0.16 % (3265515)...printing done.
% 0.09/0.16 % (3265516)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3210229532:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.16 % (3265517)Refutation found. Thanks to Tanya!
% 0.09/0.16 % SZS status Theorem for theBenchmark
% 0.09/0.16 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.16 % (3265517)------------------------------
% 0.09/0.16 % (3265517)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.16 % (3265517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.16 % (3265517)CaDiCaL version: 2.1.3
% 0.09/0.16 % (3265517)Termination reason: Refutation
% 0.09/0.16 % (3265517)Time elapsed: 0.003 s
% 0.09/0.16 % (3265517)Peak memory usage: 12 MB
% 0.09/0.16 % (3265517)Instructions burned: 6 (million)
% 0.09/0.16 % (3265501)Success in time 0.03 s
% 0.09/0.16 % Vampire exiting
%------------------------------------------------------------------------------