%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR031+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 09:42:04 AM UTC 2026
% Result : Theorem 3.49s 1.27s
% Output : Refutation 3.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 9 unt; 0 def)
% Number of atoms : 21 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 17 ( 11 ~; 4 |; 1 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 9 ( 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0] :
~ ( collection(X0)
& individual(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just4) ).
fof(f6,axiom,
individual(c_tptptptpcol_16_8398),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just6) ).
fof(f34,axiom,
! [X0,X1] :
( disjointwith(X0,X1)
=> collection(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just34) ).
fof(f56,conjecture,
~ disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query31) ).
fof(f57,negated_conjecture,
~ ~ disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
inference(negated_conjecture,[status(cth)],[f56]) ).
fof(f58,plain,
disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
inference(flattening,[],[f57]) ).
fof(f64,plain,
! [X0] :
( ~ collection(X0)
| ~ individual(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f65,plain,
! [X0,X1] :
( collection(X0)
| ~ disjointwith(X0,X1) ),
inference(ennf_transformation,[],[f34]) ).
fof(f68,plain,
disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
inference(cnf_transformation,[],[f58]) ).
fof(f70,plain,
individual(c_tptptptpcol_16_8398),
inference(cnf_transformation,[],[f6]) ).
fof(f71,plain,
! [X0] :
( ~ individual(X0)
| ~ collection(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f72,plain,
! [X0,X1] :
( ~ disjointwith(X0,X1)
| collection(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f75,plain,
~ collection(c_tptptptpcol_16_8398),
inference(resolution,[],[f71,f70]) ).
fof(f76,plain,
collection(c_tptptptpcol_16_8398),
inference(resolution,[],[f72,f68]) ).
fof(f77,plain,
$false,
inference(forward_subsumption_resolution,[],[f75,f76]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR031+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n009.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 22:11:45 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running first-order theorem proving
% 0.09/0.24 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
% 3.49/1.27 % (3550191)Detected formulas, will run a generic FOF schedule.
% 3.49/1.27 % (3550308)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2157542853:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.49/1.27 % (3550308)Refutation not found, incomplete strategy
% 3.49/1.27 % (3550308)------------------------------
% 3.49/1.27 % (3550308)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.27 % (3550308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.27 % (3550308)CaDiCaL version: 2.1.3
% 3.49/1.27 % (3550308)Termination reason: Refutation not found, incomplete strategy
% 3.49/1.27 % (3550308)Time elapsed: 0.0000 s
% 3.49/1.27 % (3550308)Peak memory usage: 87 MB
% 3.49/1.27 % (3550314)dis-21_1_sil=8000:lcm=predicate:random_seed=2032832897: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)
% 3.49/1.27 % (3550309)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3121485546:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.49/1.27 % (3550305)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=3110758622:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.49/1.27 % (3550306)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=3705050650:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.49/1.27 % (3550307)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=40557365:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.49/1.27 % (3550309)First to succeed.
% 3.49/1.27 % (3550309)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3550191"
% 3.49/1.27 % (3550314)Also succeeded, but the first one will report.
% 3.49/1.27 % (3550312)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1007628105:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.49/1.27 % (3550312)Also succeeded, but the first one will report.
% 3.49/1.27 % (3550308)------------------------------
% 3.49/1.27 % (3550308)------------------------------
% 3.49/1.27 % (3550371)lrs+10_1_sil=8000:sp=occurrence:random_seed=2201635579:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.49/1.27 % (3550371)Also succeeded, but the first one will report.
% 3.49/1.27 % (3550309)Refutation found. Thanks to Tanya!
% 3.49/1.27 % SZS status Theorem for theBenchmark
% 3.49/1.27 % SZS output start Proof for theBenchmark
% See solution above
% 3.49/1.27 % (3550309)------------------------------
% 3.49/1.27 % (3550309)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.27 % (3550309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.27 % (3550309)CaDiCaL version: 2.1.3
% 3.49/1.27 % (3550309)Termination reason: Refutation
% 3.49/1.27 % (3550309)Time elapsed: 0.001 s
% 3.49/1.27 % (3550309)Peak memory usage: 88 MB
% 3.49/1.27 % (3550309)------------------------------
% 3.49/1.27 % (3550309)------------------------------
% 3.49/1.27 % (3550191)Success in time 0.395 s
% 3.49/1.27 % Vampire exiting
%------------------------------------------------------------------------------