%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWB002+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 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 12:59:56 PM UTC 2026
% Result : Theorem 2.35s 0.93s
% Output : Refutation 2.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 4 unt; 0 def)
% Number of atoms : 16 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 12 ( 6 ~; 2 |; 4 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 9 ( 4 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
? [X0,X1] :
( iext(uri_ex_p,X0,X1)
& iext(uri_ex_q,X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_002_Existential_Blank_Nodes) ).
fof(f2,negated_conjecture,
~ ? [X0,X1] :
( iext(uri_ex_p,X0,X1)
& iext(uri_ex_q,X1,X0) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
? [X0] :
( iext(uri_ex_p,uri_ex_s,X0)
& iext(uri_ex_q,X0,uri_ex_s) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_002_Existential_Blank_Nodes) ).
fof(f4,plain,
! [X0,X1] :
( ~ iext(uri_ex_p,X0,X1)
| ~ iext(uri_ex_q,X1,X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f5,plain,
( iext(uri_ex_p,uri_ex_s,sK0)
& iext(uri_ex_q,sK0,uri_ex_s) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f3]) ).
fof(f6,plain,
! [X0,X1] :
( ~ iext(uri_ex_q,X1,X0)
| ~ iext(uri_ex_p,X0,X1) ),
inference(cnf_transformation,[],[f4]) ).
fof(f7,plain,
iext(uri_ex_q,sK0,uri_ex_s),
inference(cnf_transformation,[],[f5]) ).
fof(f8,plain,
iext(uri_ex_p,uri_ex_s,sK0),
inference(cnf_transformation,[],[f5]) ).
fof(f9,plain,
~ iext(uri_ex_p,uri_ex_s,sK0),
inference(resolution,[],[f7,f6]) ).
fof(f10,plain,
$false,
inference(resolution,[],[f8,f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWB002+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.05/0.30 % Computer : n012.cluster.edu
% 0.05/0.30 % Model : x86_64 x86_64
% 0.05/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.30 % Memory : 8046.5625MB
% 0.05/0.30 % OS : Linux 6.8.0-71-generic
% 0.05/0.30 % CPULimit : 300
% 0.05/0.30 % WCLimit : 300
% 0.05/0.30 % DateTime : Mon Sep 28 06:53:49 UTC 2026
% 0.05/0.30 % CPUTime :
% 0.05/0.30 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.05/0.32 Running first-order theorem proving
% 0.05/0.32 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
% 2.35/0.93 % (3187583)Detected formulas, will run a generic FOF schedule.
% 2.35/0.93 % (3187593)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=684492998:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.35/0.93 % (3187588)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=1179854134:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.35/0.93 % (3187589)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=1227829708:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.35/0.93 % (3187590)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=241041971:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.35/0.93 % (3187594)dis-21_1_sil=8000:lcm=predicate:random_seed=3520367754: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)
% 2.35/0.93 % (3187591)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1741137104:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.35/0.93 % (3187592)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1731359797:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.35/0.93 % (3187592)Refutation not found, incomplete strategy
% 2.35/0.93 % (3187592)------------------------------
% 2.35/0.93 % (3187592)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.35/0.93 % (3187592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.35/0.93 % (3187591)Refutation not found, incomplete strategy
% 2.35/0.93 % (3187591)------------------------------
% 2.35/0.93 % (3187591)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.35/0.93 % (3187592)CaDiCaL version: 2.1.3
% 2.35/0.93 % (3187592)Termination reason: Refutation not found, incomplete strategy
% 2.35/0.93 % (3187592)Time elapsed: 0.0000 s
% 2.35/0.93 % (3187591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.35/0.93 % (3187592)Peak memory usage: 86 MB
% 2.35/0.93 % (3187591)CaDiCaL version: 2.1.3
% 2.35/0.93 % (3187591)Termination reason: Refutation not found, incomplete strategy
% 2.35/0.93 % (3187591)Time elapsed: 0.0000 s
% 2.35/0.93 % (3187591)Peak memory usage: 86 MB
% 2.35/0.93 % (3187593)Also succeeded, but the first one will report.
% 2.35/0.93 % (3187594)First to succeed.
% 2.35/0.93 % (3187594)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3187583"
% 2.35/0.93 % (3187592)------------------------------
% 2.35/0.93 % (3187592)------------------------------
% 2.35/0.93 % (3187591)------------------------------
% 2.35/0.93 % (3187591)------------------------------
% 2.35/0.93 % (3187594)Refutation found. Thanks to Tanya!
% 2.35/0.93 % SZS status Theorem for theBenchmark
% 2.35/0.93 % SZS output start Proof for theBenchmark
% See solution above
% 2.35/0.93 % (3187594)------------------------------
% 2.35/0.93 % (3187594)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.35/0.93 % (3187594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.35/0.93 % (3187594)CaDiCaL version: 2.1.3
% 2.35/0.93 % (3187594)Termination reason: Refutation
% 2.35/0.93 % (3187594)Time elapsed: 0.001 s
% 2.35/0.93 % (3187594)Peak memory usage: 88 MB
% 2.35/0.93 % (3187594)------------------------------
% 2.35/0.93 % (3187594)------------------------------
% 2.35/0.93 % (3187583)Success in time 0.299 s
% 2.35/0.93 % Vampire exiting
%------------------------------------------------------------------------------