%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR055+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 09:42:23 AM UTC 2026
% Result : Theorem 0.19s 1.14s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 8 unt; 0 def)
% Number of atoms : 22 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 20 ( 13 ~; 5 |; 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 : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f201,axiom,
individual(c_xskijump_thegame),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_201) ).
fof(f289,axiom,
! [X0] :
~ ( collection(X0)
& individual(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_289) ).
fof(f1119,axiom,
! [X0,X1] :
( disjointwith(X0,X1)
=> collection(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_1119) ).
fof(f1132,conjecture,
~ disjointwith(c_xskijump_thegame,c_tptpcol_16_35301),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query105) ).
fof(f1133,negated_conjecture,
~ ~ disjointwith(c_xskijump_thegame,c_tptpcol_16_35301),
inference(negated_conjecture,[status(cth)],[f1132]) ).
fof(f1134,plain,
disjointwith(c_xskijump_thegame,c_tptpcol_16_35301),
inference(flattening,[],[f1133]) ).
fof(f1363,plain,
! [X0] :
( ~ collection(X0)
| ~ individual(X0) ),
inference(ennf_transformation,[],[f289]) ).
fof(f2007,plain,
! [X0,X1] :
( collection(X0)
| ~ disjointwith(X0,X1) ),
inference(ennf_transformation,[],[f1119]) ).
fof(f2222,plain,
individual(c_xskijump_thegame),
inference(cnf_transformation,[],[f201]) ).
fof(f2310,plain,
! [X0] :
( ~ collection(X0)
| ~ individual(X0) ),
inference(cnf_transformation,[],[f1363]) ).
fof(f3049,plain,
! [X0,X1] :
( collection(X0)
| ~ disjointwith(X0,X1) ),
inference(cnf_transformation,[],[f2007]) ).
fof(f3062,plain,
disjointwith(c_xskijump_thegame,c_tptpcol_16_35301),
inference(cnf_transformation,[],[f1134]) ).
fof(f3433,plain,
! [X0,X1] :
( ~ individual(X0)
| ~ disjointwith(X0,X1) ),
inference(resolution,[],[f2310,f3049]) ).
fof(f3568,plain,
! [X0] : ~ disjointwith(c_xskijump_thegame,X0),
inference(resolution,[],[f3433,f2222]) ).
fof(f3572,plain,
$false,
inference(resolution,[],[f3568,f3062]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR055+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n007.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 22:17:11 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 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
% 0.19/1.14 % (2919414)Detected formulas, will run a generic FOF schedule.
% 0.19/1.14 % (2919424)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1017153:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.19/1.14 % (2919424)First to succeed.
% 0.19/1.14 % (2919424)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2919414"
% 0.19/1.14 % (2919422)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=369618317:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.19/1.14 % (2919421)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=4086284507:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.19/1.14 % (2919420)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=3103802050:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.19/1.14 % (2919419)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=358642242:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.19/1.14 % (2919422)Refutation not found, incomplete strategy
% 0.19/1.14 % (2919422)------------------------------
% 0.19/1.14 % (2919422)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.14 % (2919422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.14 % (2919422)CaDiCaL version: 2.1.3
% 0.19/1.14 % (2919422)Termination reason: Refutation not found, incomplete strategy
% 0.19/1.14 % (2919422)Time elapsed: 0.003 s
% 0.19/1.14 % (2919422)Peak memory usage: 88 MB
% 0.19/1.14 % (2919422)Instructions burned: 3 (million)
% 0.19/1.14 % (2919425)dis-21_1_sil=8000:lcm=predicate:random_seed=1627167137: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)
% 0.19/1.14 % (2919423)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3813242495:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.19/1.14 % (2919425)Also succeeded, but the first one will report.
% 0.19/1.14 % (2919423)Also succeeded, but the first one will report.
% 0.19/1.14 % (2919424)Refutation found. Thanks to Tanya!
% 0.19/1.14 % SZS status Theorem for theBenchmark
% 0.19/1.14 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/1.14 % (2919424)------------------------------
% 0.19/1.14 % (2919424)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.14 % (2919424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.14 % (2919424)CaDiCaL version: 2.1.3
% 0.19/1.14 % (2919424)Termination reason: Refutation
% 0.19/1.14 % (2919424)Time elapsed: 0.011 s
% 0.19/1.14 % (2919424)Peak memory usage: 90 MB
% 0.19/1.14 % (2919424)Instructions burned: 35 (million)
% 0.19/1.14 % (2919424)------------------------------
% 0.19/1.14 % (2919424)------------------------------
% 0.19/1.14 % (2919414)Success in time 0.289 s
% 0.19/1.14 % Vampire exiting
%------------------------------------------------------------------------------