%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PHI022+1 : TPTP v9.3.1. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 12:27:21 PM UTC 2026
% Result : Theorem 2.73s 1.38s
% Output : Refutation 2.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 35 ( 4 unt; 0 def)
% Number of atoms : 85 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 85 ( 35 ~; 30 |; 10 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 30 ( 29 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( selfCaused(X0)
<=> ( essenceInvExistence(X0)
& natureConcOnlyByExistence(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',self_caused) ).
fof(f3,axiom,
! [X0] :
( substance(X0)
<=> ( inItself(X0)
& conceivedThruItself(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',substance) ).
fof(f18,axiom,
! [X0] :
( substance(X0)
=> being(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',has_substance_being) ).
fof(f19,axiom,
! [X0] :
( inItself(X0)
=> selfCaused(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',is_in_itself_is_self_caused) ).
fof(f20,axiom,
! [X0] :
( being(X0)
=> hasEssence(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',being_has_essense) ).
fof(f21,axiom,
! [X0] :
( ( essenceInvExistence(X0)
& hasEssence(X0) )
=> exists(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',essence_involves_existence_exists) ).
fof(f22,conjecture,
! [X0] :
( substance(X0)
=> exists(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',has_substance_exists) ).
fof(f23,negated_conjecture,
~ ! [X0] :
( substance(X0)
=> exists(X0) ),
inference(negated_conjecture,[status(cth)],[f22]) ).
fof(f24,plain,
! [X0] :
( selfCaused(X0)
=> ( essenceInvExistence(X0)
& natureConcOnlyByExistence(X0) ) ),
inference(unused_predicate_definition_removal,[],[f1]) ).
fof(f25,plain,
! [X0] :
( selfCaused(X0)
=> essenceInvExistence(X0) ),
inference(pure_predicate_removal,[],[f24]) ).
fof(f31,plain,
! [X0] :
( essenceInvExistence(X0)
| ~ selfCaused(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f36,plain,
! [X0] :
( being(X0)
| ~ substance(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f37,plain,
! [X0] :
( selfCaused(X0)
| ~ inItself(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f38,plain,
! [X0] :
( hasEssence(X0)
| ~ being(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f39,plain,
! [X0] :
( exists(X0)
| ~ essenceInvExistence(X0)
| ~ hasEssence(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f40,plain,
! [X0] :
( exists(X0)
| ~ essenceInvExistence(X0)
| ~ hasEssence(X0) ),
inference(flattening,[],[f39]) ).
fof(f41,plain,
? [X0] :
( ~ exists(X0)
& substance(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f44,plain,
! [X0] :
( ( substance(X0)
| ~ inItself(X0)
| ~ conceivedThruItself(X0) )
& ( ( inItself(X0)
& conceivedThruItself(X0) )
| ~ substance(X0) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f45,plain,
! [X0] :
( ( substance(X0)
| ~ inItself(X0)
| ~ conceivedThruItself(X0) )
& ( ( inItself(X0)
& conceivedThruItself(X0) )
| ~ substance(X0) ) ),
inference(flattening,[],[f44]) ).
fof(f56,plain,
( ~ exists(sK0)
& substance(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f41]) ).
fof(f57,plain,
! [X0] :
( essenceInvExistence(X0)
| ~ selfCaused(X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f62,plain,
! [X0] :
( inItself(X0)
| ~ substance(X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f94,plain,
! [X0] :
( being(X0)
| ~ substance(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f95,plain,
! [X0] :
( selfCaused(X0)
| ~ inItself(X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f96,plain,
! [X0] :
( hasEssence(X0)
| ~ being(X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f97,plain,
! [X0] :
( ~ hasEssence(X0)
| ~ essenceInvExistence(X0)
| exists(X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f98,plain,
substance(sK0),
inference(cnf_transformation,[],[f56]) ).
fof(f99,plain,
~ exists(sK0),
inference(cnf_transformation,[],[f56]) ).
fof(f139,plain,
! [X0] :
( ~ being(X0)
| ~ essenceInvExistence(X0)
| exists(X0) ),
inference(resolution,[],[f96,f97]) ).
fof(f140,plain,
! [X0] :
( ~ essenceInvExistence(X0)
| exists(X0)
| ~ substance(X0) ),
inference(resolution,[],[f139,f94]) ).
fof(f141,plain,
! [X0] :
( ~ selfCaused(X0)
| ~ substance(X0)
| exists(X0) ),
inference(resolution,[],[f140,f57]) ).
fof(f142,plain,
! [X0] :
( ~ substance(X0)
| exists(X0)
| ~ inItself(X0) ),
inference(resolution,[],[f141,f95]) ).
fof(f143,plain,
! [X0] :
( exists(X0)
| ~ substance(X0) ),
inference(forward_subsumption_resolution,[],[f142,f62]) ).
fof(f144,plain,
~ substance(sK0),
inference(resolution,[],[f143,f99]) ).
fof(f146,plain,
$false,
inference(forward_subsumption_resolution,[],[f144,f98]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PHI022+1 : TPTP v9.3.1. Released v7.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n011.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 22:07:30 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.73/1.38 % (2805302)Detected formulas, will run a generic FOF schedule.
% 2.73/1.38 % (2805404)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1989464336:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.73/1.38 % (2805404)First to succeed.
% 2.73/1.38 % (2805404)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2805302"
% 2.73/1.38 % (2805402)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=696795829:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.73/1.38 % (2805401)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=463581813:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.73/1.38 % (2805399)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=2309361845:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.73/1.38 % (2805405)dis-21_1_sil=8000:lcm=predicate:random_seed=3684742496: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)
% 2.73/1.38 % (2805402)Refutation not found, incomplete strategy
% 2.73/1.38 % (2805402)------------------------------
% 2.73/1.38 % (2805402)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.73/1.38 % (2805402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/1.38 % (2805402)CaDiCaL version: 2.1.3
% 2.73/1.38 % (2805402)Termination reason: Refutation not found, incomplete strategy
% 2.73/1.38 % (2805402)Time elapsed: 0.001 s
% 2.73/1.38 % (2805402)Peak memory usage: 86 MB
% 2.73/1.38 % (2805405)Also succeeded, but the first one will report.
% 2.73/1.38 % (2805403)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1173881707:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.73/1.38 % (2805400)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=721956449:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.73/1.38 % (2805403)Refutation not found, incomplete strategy
% 2.73/1.38 % (2805403)------------------------------
% 2.73/1.38 % (2805403)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.73/1.38 % (2805403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/1.38 % (2805403)CaDiCaL version: 2.1.3
% 2.73/1.38 % (2805403)Termination reason: Refutation not found, incomplete strategy
% 2.73/1.38 % (2805403)Time elapsed: 0.001 s
% 2.73/1.38 % (2805403)Peak memory usage: 86 MB
% 2.73/1.38 % (2805404)Refutation found. Thanks to Tanya!
% 2.73/1.38 % SZS status Theorem for theBenchmark
% 2.73/1.38 % SZS output start Proof for theBenchmark
% See solution above
% 2.73/1.38 % (2805404)------------------------------
% 2.73/1.38 % (2805404)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.73/1.38 % (2805404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/1.38 % (2805404)CaDiCaL version: 2.1.3
% 2.73/1.38 % (2805404)Termination reason: Refutation
% 2.73/1.38 % (2805404)Time elapsed: 0.002 s
% 2.73/1.38 % (2805404)Peak memory usage: 89 MB
% 2.73/1.38 % (2805404)Instructions burned: 3 (million)
% 2.73/1.38 % (2805404)------------------------------
% 2.73/1.38 % (2805404)------------------------------
% 2.73/1.38 % (2805302)Success in time 0.309 s
% 2.73/1.38 % Vampire exiting
%------------------------------------------------------------------------------