%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWW512_5 : TPTP v9.3.1. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n020.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 01:40:22 PM UTC 2026
% Result : Theorem 0.25s 0.35s
% Output : Refutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 10 ( 0 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-6 aty)
% Number of functors : 43 ( 43 usr; 5 con; 0-5 aty)
% Number of variables : 8 ( 8 !; 0 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
a: $tType ).
tff(type_def_6,type,
bool: $tType ).
tff(type_def_7,type,
hoare_28830079triple: $tType > $tType ).
tff(type_def_8,type,
fun: ( $tType * $tType ) > $tType ).
tff(func_def_0,type,
combb:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,X1) * fun(X2,X0) ) > fun(X2,X1) ) ).
tff(func_def_1,type,
combc:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * X1 ) > fun(X0,X2) ) ).
tff(func_def_2,type,
combk:
!>[X0: $tType,X1: $tType] : ( X0 > fun(X1,X0) ) ).
tff(func_def_3,type,
combs:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * fun(X0,X1) ) > fun(X0,X2) ) ).
tff(func_def_4,type,
bot_bot:
!>[X0: $tType] : X0 ).
tff(func_def_5,type,
ord_Least:
!>[X0: $tType] : ( fun(X0,bool) > X0 ) ).
tff(func_def_6,type,
ord_less_eq:
!>[X0: $tType] : fun(X0,fun(X0,bool)) ).
tff(func_def_7,type,
powp:
!>[X0: $tType] : ( fun(X0,bool) > fun(fun(X0,bool),bool) ) ).
tff(func_def_8,type,
collect:
!>[X0: $tType] : ( fun(X0,bool) > fun(X0,bool) ) ).
tff(func_def_9,type,
pow:
!>[X0: $tType] : ( fun(X0,bool) > fun(fun(X0,bool),bool) ) ).
tff(func_def_10,type,
insert:
!>[X0: $tType] : ( ( X0 * fun(X0,bool) ) > fun(X0,bool) ) ).
tff(func_def_11,type,
aa:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_12,type,
fFalse: bool ).
tff(func_def_13,type,
fTrue: bool ).
tff(func_def_14,type,
fconj: fun(bool,fun(bool,bool)) ).
tff(func_def_15,type,
fequal:
!>[X0: $tType] : fun(X0,fun(X0,bool)) ).
tff(func_def_16,type,
member:
!>[X0: $tType] : fun(X0,fun(fun(X0,bool),bool)) ).
tff(func_def_17,type,
g: fun(hoare_28830079triple(a),bool) ).
tff(func_def_18,type,
ga: fun(hoare_28830079triple(a),bool) ).
tff(func_def_19,type,
sK0:
!>[X0: $tType] : ( fun(X0,bool) > X0 ) ).
tff(func_def_20,type,
sK1:
!>[X0: $tType] : ( fun(X0,bool) > X0 ) ).
tff(func_def_21,type,
sK2:
!>[X0: $tType] : ( fun(X0,bool) > X0 ) ).
tff(func_def_22,type,
sK3:
!>[X0: $tType] : ( fun(X0,bool) > X0 ) ).
tff(func_def_23,type,
sK4:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).
tff(func_def_24,type,
sK5:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) ) > X0 ) ).
tff(func_def_25,type,
sK6:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).
tff(func_def_26,type,
sK7:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) ) > X0 ) ).
tff(func_def_27,type,
sK8:
!>[X0: $tType] : ( fun(X0,bool) > X0 ) ).
tff(func_def_28,type,
sK9:
!>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).
tff(func_def_29,type,
sK10:
!>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).
tff(func_def_30,type,
sK11:
!>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).
tff(func_def_31,type,
sK12:
!>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).
tff(func_def_32,type,
sK13:
!>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).
tff(func_def_33,type,
sK14:
!>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).
tff(func_def_34,type,
sK15:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) ) > X0 ) ).
tff(func_def_35,type,
sK16:
!>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).
tff(func_def_36,type,
sK17:
!>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).
tff(func_def_37,type,
sK18:
!>[X0: $tType] : ( fun(X0,bool) > X0 ) ).
tff(func_def_38,type,
sK19:
!>[X0: $tType] : ( fun(X0,bool) > X0 ) ).
tff(func_def_39,type,
sK20:
!>[X0: $tType] : ( ( X0 * fun(X0,bool) ) > X0 ) ).
tff(func_def_40,type,
sK21:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).
tff(pred_def_1,type,
enum:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
bot:
!>[X0: $tType] : $o ).
tff(pred_def_3,type,
ord:
!>[X0: $tType] : $o ).
tff(pred_def_4,type,
order:
!>[X0: $tType] : $o ).
tff(pred_def_5,type,
linorder:
!>[X0: $tType] : $o ).
tff(pred_def_6,type,
preorder:
!>[X0: $tType] : $o ).
tff(pred_def_7,type,
wellorder:
!>[X0: $tType] : $o ).
tff(pred_def_8,type,
enum_enum_all:
!>[X0: $tType] : ( fun(X0,bool) > $o ) ).
tff(pred_def_9,type,
hoare_992312373derivs:
!>[X0: $tType] : ( ( fun(hoare_28830079triple(X0),bool) * fun(hoare_28830079triple(X0),bool) ) > $o ) ).
tff(pred_def_10,type,
inv_imagep:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,bool)) * fun(X1,X0) * X1 * X1 ) > $o ) ).
tff(pred_def_11,type,
pp: bool > $o ).
tff(f1,axiom,
! [X1: $tType,X3: fun(hoare_28830079triple(X1),bool)] : hoare_992312373derivs(X1,X3,bot_bot(fun(hoare_28830079triple(X1),bool))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_empty) ).
tff(f126,conjecture,
hoare_992312373derivs(a,ga,bot_bot(fun(hoare_28830079triple(a),bool))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
tff(f127,negated_conjecture,
~ hoare_992312373derivs(a,ga,bot_bot(fun(hoare_28830079triple(a),bool))),
inference(negated_conjecture,[status(cth)],[f126]) ).
tff(f128,plain,
! [X0: $tType,X1: fun(hoare_28830079triple(X0),bool)] : hoare_992312373derivs(X0,X1,bot_bot(fun(hoare_28830079triple(X0),bool))),
inference(rectify,[],[f1]) ).
tff(f129,plain,
~ hoare_992312373derivs(a,ga,bot_bot(fun(hoare_28830079triple(a),bool))),
inference(flattening,[],[f127]) ).
tff(f278,plain,
! [X0: $tType,X1: fun(hoare_28830079triple(X0),bool)] : hoare_992312373derivs(X0,X1,bot_bot(fun(hoare_28830079triple(X0),bool))),
inference(cnf_transformation,[],[f128]) ).
tff(f442,plain,
~ hoare_992312373derivs(a,ga,bot_bot(fun(hoare_28830079triple(a),bool))),
inference(cnf_transformation,[],[f129]) ).
tff(f483,plain,
! [X0: $tType,X1: fun(hoare_28830079triple(X0),bool)] : ~ hoare_992312373derivs(X0,X1,bot_bot(fun(hoare_28830079triple(X0),bool))),
inference(consistent_polarity_flipping,[],[f278]) ).
tff(f620,plain,
hoare_992312373derivs(a,ga,bot_bot(fun(hoare_28830079triple(a),bool))),
inference(consistent_polarity_flipping,[],[f442]) ).
tff(f634,plain,
$false,
inference(resolution,[],[f483,f620]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWW512_5 : TPTP v9.3.1. Released v6.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.25 % Computer : n020.cluster.edu
% 0.11/0.25 % Model : x86_64 x86_64
% 0.11/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.25 % Memory : 8046.5625MB
% 0.11/0.25 % OS : Linux 6.8.0-71-generic
% 0.11/0.25 % CPULimit : 300
% 0.11/0.25 % WCLimit : 300
% 0.11/0.25 % DateTime : Mon Sep 28 14:16:34 UTC 2026
% 0.11/0.26 % CPUTime :
% 0.11/0.26 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.25/0.29 Running first-order model finding
% 0.25/0.30 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
% 0.25/0.35 % (188830)Will run a generic schedule for satisfiability detection.
% 0.25/0.35 % (188836)% WARNING: option uhcvi not known.
% 0.25/0.35 % (188841)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4245081021:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.25/0.35 % (188836)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4213976399:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.25/0.35 % (188841) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-188830-188841"...
% 0.25/0.35 % (188837)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=427601331:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.25/0.35 % (188835)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2293187869_2999 on theBenchmark for (2999ds/0Mi)
% 0.25/0.35 % (188838)dis+10_1_sil=32000:sp=arity:random_seed=196476905:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.25/0.35 % (188839)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3985133489:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.25/0.35 % (188836) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-188830-188836"...
% 0.25/0.35 % (188841)...printing done.
% 0.25/0.35 % (188840)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3305224642:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.25/0.35 % (188836)...printing done.
% 0.25/0.35 % (188841)Refutation found. Thanks to Tanya!
% 0.25/0.35 % SZS status Theorem for theBenchmark
% 0.25/0.35 % SZS output start Proof for theBenchmark
% See solution above
% 0.25/0.35 % (188841)------------------------------
% 0.25/0.35 % (188841)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.35 % (188841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.35 % (188841)CaDiCaL version: 2.1.3
% 0.25/0.35 % (188841)Termination reason: Refutation
% 0.25/0.35 % (188841)Time elapsed: 0.010 s
% 0.25/0.35 % (188841)Peak memory usage: 12 MB
% 0.25/0.35 % (188841)Instructions burned: 19 (million)
% 0.25/0.35 % (188830)Success in time 0.046 s
% 0.25/0.35 % Vampire exiting
%------------------------------------------------------------------------------