%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW469_1 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 01:30:23 PM UTC 2026
% Result : Theorem 3.53s 1.26s
% Output : Refutation 3.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 20 ( 11 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 17 ( 12 ~; 3 |; 0 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 2 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 16 ( 9 !; 7 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
state: $tType ).
tff(func_def_0,type,
sK0: state ).
tff(func_def_1,type,
sK1: state ).
tff(func_def_2,type,
sK2: state ).
tff(f1,axiom,
( hoare_1310879719gleton
<=> ? [X0: state,X1: state] : ( X0 != X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_state__not__singleton__def) ).
tff(f5,axiom,
hoare_1310879719gleton,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
tff(f6,conjecture,
! [X0: state] :
~ ! [X1: state] : ( X1 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
tff(f7,negated_conjecture,
~ ! [X0: state] :
~ ! [X1: state] : ( X1 = X0 ),
inference(negated_conjecture,[status(cth)],[f6]) ).
tff(f8,plain,
( hoare_1310879719gleton
=> ? [X0: state,X1: state] : ( X0 != X1 ) ),
inference(unused_predicate_definition_removal,[],[f1]) ).
tff(f9,plain,
? [X0: state] :
! [X1: state] : ( X1 = X0 ),
inference(ennf_transformation,[],[f7]) ).
tff(f10,plain,
( ? [X0: state,X1: state] : ( X0 != X1 )
| ~ hoare_1310879719gleton ),
inference(ennf_transformation,[],[f8]) ).
tff(f11,plain,
! [X1: state] : ( sK0 = X1 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f9]) ).
tff(f12,plain,
( ( sK1 != sK2 )
| ~ hoare_1310879719gleton ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2]),skolemize(X0,sK1),skolemize(X1,sK2)],[f10]) ).
tff(f13,plain,
hoare_1310879719gleton,
inference(cnf_transformation,[],[f5]) ).
tff(f14,plain,
! [X1: state] : ( sK0 = X1 ),
inference(cnf_transformation,[],[f11]) ).
tff(f15,plain,
( ( sK1 != sK2 )
| ~ hoare_1310879719gleton ),
inference(cnf_transformation,[],[f12]) ).
tff(f16,plain,
! [X0: state,X1: state] : ( X0 = X1 ),
inference(superposition,[],[f14,f14]) ).
tff(f19,plain,
~ hoare_1310879719gleton,
inference(forward_subsumption_resolution,[],[f15,f16]) ).
tff(f20,plain,
$false,
inference(forward_subsumption_resolution,[],[f19,f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW469_1 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.18 % Computer : n016.cluster.edu
% 0.12/0.18 % Model : x86_64 x86_64
% 0.12/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.18 % Memory : 8046.5625MB
% 0.12/0.18 % OS : Linux 6.8.0-71-generic
% 0.12/0.18 % CPULimit : 300
% 0.12/0.18 % WCLimit : 300
% 0.12/0.18 % DateTime : Mon Sep 28 14:05:34 UTC 2026
% 0.12/0.18 % CPUTime :
% 0.12/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.21 Running first-order theorem proving
% 0.12/0.21 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.53/1.26 % (3641890)Detected formulas, will run a generic FOF schedule.
% 3.53/1.26 % (3641901)dis-21_1_sil=8000:lcm=predicate:random_seed=3603803661:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.53/1.26 % (3641901)Refutation not found, incomplete strategy
% 3.53/1.26 % (3641901)------------------------------
% 3.53/1.26 % (3641901)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.53/1.26 % (3641901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/1.26 % (3641901)CaDiCaL version: 2.1.3
% 3.53/1.26 % (3641901)Termination reason: Refutation not found, incomplete strategy
% 3.53/1.26 % (3641901)Time elapsed: 0.001 s
% 3.53/1.26 % (3641901)Peak memory usage: 88 MB
% 3.53/1.26 % (3641897)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1230989974:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.53/1.26 % (3641895)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=4275569930:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.53/1.26 % (3641896)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=661622439:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.53/1.26 % (3641899)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1285167985:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.53/1.26 % (3641898)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4154150919:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.53/1.26 % (3641900)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1569310114:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.53/1.26 % (3641899)First to succeed.
% 3.53/1.26 % (3641898)Also succeeded, but the first one will report.
% 3.53/1.26 % (3641899)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3641890"
% 3.53/1.26 % (3641900)Also succeeded, but the first one will report.
% 3.53/1.26 % (3641901)------------------------------
% 3.53/1.26 % (3641901)------------------------------
% 3.53/1.26 % (3641909)lrs+10_1_sil=8000:sp=occurrence:random_seed=736543566:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.53/1.26 % (3641909)Also succeeded, but the first one will report.
% 3.53/1.26 % (3641899)Refutation found. Thanks to Tanya!
% 3.53/1.26 % SZS status Theorem for theBenchmark
% 3.53/1.26 % SZS output start Proof for theBenchmark
% See solution above
% 3.53/1.26 % (3641899)------------------------------
% 3.53/1.26 % (3641899)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.53/1.26 % (3641899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/1.26 % (3641899)CaDiCaL version: 2.1.3
% 3.53/1.26 % (3641899)Termination reason: Refutation
% 3.53/1.26 % (3641899)Time elapsed: 0.001 s
% 3.53/1.26 % (3641899)Peak memory usage: 88 MB
% 3.53/1.26 % (3641899)------------------------------
% 3.53/1.26 % (3641899)------------------------------
% 3.53/1.26 % (3641890)Success in time 0.409 s
% 3.53/1.26 % Vampire exiting
%------------------------------------------------------------------------------