%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV395+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 01:09:06 PM UTC 2026
% Result : Theorem 2.49s 0.93s
% Output : Refutation 2.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 9 ( 4 unt; 0 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 21 ( 6 ~; 0 |; 13 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 20 ( 12 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X0,X1] : ~ pair_in_list(create_slb,X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax22) ).
fof(f42,conjecture,
! [X0,X1,X2,X3] :
( ( pair_in_list(create_slb,X2,X3)
& strictly_less_than(X2,X3)
& ok(remove_cpq(triple(X0,create_slb,X1),X2)) )
=> pair_in_list(remove_slb(create_slb,X2),X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l31_co) ).
fof(f43,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( pair_in_list(create_slb,X2,X3)
& strictly_less_than(X2,X3)
& ok(remove_cpq(triple(X0,create_slb,X1),X2)) )
=> pair_in_list(remove_slb(create_slb,X2),X2,X3) ),
inference(negated_conjecture,[status(cth)],[f42]) ).
fof(f52,plain,
? [X0,X1,X2,X3] :
( ~ pair_in_list(remove_slb(create_slb,X2),X2,X3)
& pair_in_list(create_slb,X2,X3)
& strictly_less_than(X2,X3)
& ok(remove_cpq(triple(X0,create_slb,X1),X2)) ),
inference(ennf_transformation,[],[f43]) ).
fof(f53,plain,
? [X0,X1,X2,X3] :
( ~ pair_in_list(remove_slb(create_slb,X2),X2,X3)
& pair_in_list(create_slb,X2,X3)
& strictly_less_than(X2,X3)
& ok(remove_cpq(triple(X0,create_slb,X1),X2)) ),
inference(flattening,[],[f52]) ).
fof(f81,plain,
( ~ pair_in_list(remove_slb(create_slb,sK2),sK2,sK3)
& pair_in_list(create_slb,sK2,sK3)
& strictly_less_than(sK2,sK3)
& ok(remove_cpq(triple(sK0,create_slb,sK1),sK2)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f53]) ).
fof(f91,plain,
pair_in_list(create_slb,sK2,sK3),
inference(cnf_transformation,[],[f81]) ).
fof(f101,plain,
! [X0,X1] : ~ pair_in_list(create_slb,X0,X1),
inference(cnf_transformation,[],[f10]) ).
fof(f170,plain,
$false,
inference(resolution,[],[f101,f91]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV395+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n015.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 10:53:27 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.24 Running first-order theorem proving
% 0.08/0.24 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
% 2.49/0.93 % (2539124)Detected formulas, will run a generic FOF schedule.
% 2.49/0.93 % (2539135)dis-21_1_sil=8000:lcm=predicate:random_seed=4220495016: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)
% 2.49/0.93 % (2539135)First to succeed.
% 2.49/0.93 % (2539135)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2539124"
% 2.49/0.93 % (2539129)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=904783605:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.49/0.93 % (2539134)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1875509402:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.49/0.93 % (2539131)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=351969186:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.49/0.93 % (2539130)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=3304403497:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.49/0.93 % (2539132)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1564422014:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.49/0.93 % (2539133)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2069917169:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.49/0.93 % (2539133)Also succeeded, but the first one will report.
% 2.49/0.93 % (2539132)Also succeeded, but the first one will report.
% 2.49/0.93 % (2539134)Also succeeded, but the first one will report.
% 2.49/0.93 % (2539135)Refutation found. Thanks to Tanya!
% 2.49/0.93 % SZS status Theorem for theBenchmark
% 2.49/0.93 % SZS output start Proof for theBenchmark
% See solution above
% 2.49/0.93 % (2539135)------------------------------
% 2.49/0.93 % (2539135)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.49/0.93 % (2539135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.49/0.93 % (2539135)CaDiCaL version: 2.1.3
% 2.49/0.93 % (2539135)Termination reason: Refutation
% 2.49/0.93 % (2539135)Time elapsed: 0.002 s
% 2.49/0.93 % (2539135)Peak memory usage: 88 MB
% 2.49/0.93 % (2539135)Instructions burned: 2 (million)
% 2.49/0.93 % (2539135)------------------------------
% 2.49/0.93 % (2539135)------------------------------
% 2.49/0.93 % (2539124)Success in time 0.291 s
% 2.49/0.93 % Vampire exiting
%------------------------------------------------------------------------------