%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR055+4 : 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 : 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 09:42:23 AM UTC 2026
% Result : Theorem 9.06s 3.14s
% Output : Refutation 9.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% 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(f4028,axiom,
! [X0] :
~ ( collection(X0)
& individual(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3_4028) ).
fof(f7910,axiom,
individual(c_xskijump_thegame),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3_7910) ).
fof(f41385,axiom,
! [X0,X1] :
( disjointwith(X0,X1)
=> collection(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3_41385) ).
fof(f44217,conjecture,
~ disjointwith(c_xskijump_thegame,c_tptpcol_16_35301),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query205) ).
fof(f44218,negated_conjecture,
~ ~ disjointwith(c_xskijump_thegame,c_tptpcol_16_35301),
inference(negated_conjecture,[status(cth)],[f44217]) ).
fof(f44219,plain,
disjointwith(c_xskijump_thegame,c_tptpcol_16_35301),
inference(flattening,[],[f44218]) ).
fof(f44226,plain,
! [X0,X1] :
( collection(X0)
| ~ disjointwith(X0,X1) ),
inference(ennf_transformation,[],[f41385]) ).
fof(f44256,plain,
! [X0] :
( ~ collection(X0)
| ~ individual(X0) ),
inference(ennf_transformation,[],[f4028]) ).
fof(f44282,plain,
disjointwith(c_xskijump_thegame,c_tptpcol_16_35301),
inference(cnf_transformation,[],[f44219]) ).
fof(f44286,plain,
! [X0,X1] :
( ~ disjointwith(X0,X1)
| collection(X0) ),
inference(cnf_transformation,[],[f44226]) ).
fof(f44299,plain,
individual(c_xskijump_thegame),
inference(cnf_transformation,[],[f7910]) ).
fof(f44322,plain,
! [X0] :
( ~ collection(X0)
| ~ individual(X0) ),
inference(cnf_transformation,[],[f44256]) ).
fof(f44372,plain,
collection(c_xskijump_thegame),
inference(resolution,[],[f44286,f44282]) ).
fof(f44378,plain,
~ individual(c_xskijump_thegame),
inference(resolution,[],[f44372,f44322]) ).
fof(f44380,plain,
$false,
inference(forward_subsumption_resolution,[],[f44378,f44299]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR055+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n015.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 22:22:47 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 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
% 9.06/3.14 % (3096486)Detected formulas, will run a generic FOF schedule.
% 9.06/3.14 % (3096513)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=278202113:i=141695:sd=1:nm=32:gsp=on:ss=included_2988 on theBenchmark for (2988ds/141695Mi)
% 9.06/3.14 % (3096511)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=2904197799:i=141193_2988 on theBenchmark for (2988ds/141193Mi)
% 9.06/3.14 % (3096517)dis-21_1_sil=8000:lcm=predicate:random_seed=2458384089:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2988 on theBenchmark for (2988ds/129Mi)
% 9.06/3.14 % (3096512)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=4291922450:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2988 on theBenchmark for (2988ds/134677Mi)
% 9.06/3.14 % (3096516)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3313998172:s2a=on:i=139:gtg=position_2988 on theBenchmark for (2988ds/139Mi)
% 9.06/3.14 % (3096514)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1771976279:i=109:sd=1:ins=1:gsp=on:ss=axioms_2988 on theBenchmark for (2988ds/109Mi)
% 9.06/3.14 % (3096515)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2872853146:i=119:av=off:ss=axioms_2988 on theBenchmark for (2988ds/119Mi)
% 9.06/3.14 % (3096516)Instruction limit reached!
% 9.06/3.14 % (3096516)------------------------------
% 9.06/3.14 % (3096516)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.06/3.14 % (3096516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.06/3.14 % (3096516)CaDiCaL version: 2.1.3
% 9.06/3.14 % (3096516)Termination reason: Instruction limit
% 9.06/3.14 % (3096516)Termination phase: Property scanning
% 9.06/3.14 % (3096516)Time elapsed: 0.078 s
% 9.06/3.14 % (3096516)Peak memory usage: 110 MB
% 9.06/3.14 % (3096516)Instructions burned: 139 (million)
% 9.06/3.14 % (3096517)Instruction limit reached!
% 9.06/3.14 % (3096517)------------------------------
% 9.06/3.14 % (3096517)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.06/3.14 % (3096517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.06/3.14 % (3096517)CaDiCaL version: 2.1.3
% 9.06/3.14 % (3096517)Termination reason: Instruction limit
% 9.06/3.14 % (3096517)Termination phase: SInE selection
% 9.06/3.14 % (3096517)Time elapsed: 0.116 s
% 9.06/3.14 % (3096517)Peak memory usage: 111 MB
% 9.06/3.14 % (3096517)Instructions burned: 131 (million)
% 9.06/3.14 % (3096514)Instruction limit reached!
% 9.06/3.14 % (3096514)------------------------------
% 9.06/3.14 % (3096514)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.06/3.14 % (3096514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.06/3.14 % (3096514)CaDiCaL version: 2.1.3
% 9.06/3.14 % (3096514)Termination reason: Instruction limit
% 9.06/3.14 % (3096514)Termination phase: Saturation
% 9.06/3.14 % (3096514)Time elapsed: 0.125 s
% 9.06/3.14 % (3096514)Peak memory usage: 117 MB
% 9.06/3.14 % (3096514)Instructions burned: 110 (million)
% 9.06/3.14 % (3096515)Instruction limit reached!
% 9.06/3.14 % (3096515)------------------------------
% 9.06/3.14 % (3096515)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.06/3.14 % (3096515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.06/3.14 % (3096515)CaDiCaL version: 2.1.3
% 9.06/3.14 % (3096515)Termination reason: Instruction limit
% 9.06/3.14 % (3096515)Termination phase: Saturation
% 9.06/3.14 % (3096515)Time elapsed: 0.134 s
% 9.06/3.14 % (3096515)Peak memory usage: 116 MB
% 9.06/3.14 % (3096515)Instructions burned: 120 (million)
% 9.06/3.14 % (3096526)lrs+10_1_sil=8000:sp=occurrence:random_seed=3018410463:i=285:sd=3:ss=axioms:sgt=8_2985 on theBenchmark for (2985ds/285Mi)
% 9.06/3.14 % (3096527)lrs+10_1_sil=32000:urr=on:br=off:random_seed=642044203:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2985 on theBenchmark for (2985ds/157Mi)
% 9.06/3.14 % (3096526)First to succeed.
% 9.06/3.14 % (3096526)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3096486"
% 9.06/3.14 % (3096529)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4193392651:i=325:sd=1:ss=axioms:sgt=32_2984 on theBenchmark for (2984ds/325Mi)
% 9.06/3.14 % (3096530)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1907457433:s2a=on:i=248:s2at=1.23:gtg=position_2984 on theBenchmark for (2984ds/248Mi)
% 9.06/3.14 % (3096527)Instruction limit reached!
% 9.06/3.14 % (3096527)------------------------------
% 9.06/3.14 % (3096527)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.06/3.14 % (3096527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.06/3.14 % (3096527)CaDiCaL version: 2.1.3
% 9.06/3.14 % (3096527)Termination reason: Instruction limit
% 9.06/3.14 % (3096527)Termination phase: Property scanning
% 9.06/3.14 % (3096527)Time elapsed: 0.142 s
% 9.06/3.14 % (3096527)Peak memory usage: 110 MB
% 9.06/3.14 % (3096527)Instructions burned: 158 (million)
% 9.06/3.14 % (3096529)Refutation not found, incomplete strategy
% 9.06/3.14 % (3096529)------------------------------
% 9.06/3.14 % (3096529)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.06/3.14 % (3096529)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.06/3.14 % (3096529)CaDiCaL version: 2.1.3
% 9.06/3.14 % (3096529)Termination reason: Refutation not found, incomplete strategy
% 9.06/3.14 % (3096529)Time elapsed: 0.131 s
% 9.06/3.14 % (3096529)Peak memory usage: 119 MB
% 9.06/3.14 % (3096529)Instructions burned: 109 (million)
% 9.06/3.14 % (3096530)Instruction limit reached!
% 9.06/3.14 % (3096530)------------------------------
% 9.06/3.14 % (3096530)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.06/3.14 % (3096530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.06/3.14 % (3096530)CaDiCaL version: 2.1.3
% 9.06/3.14 % (3096530)Termination reason: Instruction limit
% 9.06/3.14 % (3096530)Termination phase: SInE selection
% 9.06/3.14 % (3096530)Time elapsed: 0.163 s
% 9.06/3.14 % (3096530)Peak memory usage: 111 MB
% 9.06/3.14 % (3096530)Instructions burned: 249 (million)
% 9.06/3.14 % (3096526)Refutation found. Thanks to Tanya!
% 9.06/3.14 % SZS status Theorem for theBenchmark
% 9.06/3.14 % SZS output start Proof for theBenchmark
% See solution above
% 9.06/3.14 % (3096526)------------------------------
% 9.06/3.14 % (3096526)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.06/3.14 % (3096526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.06/3.14 % (3096526)CaDiCaL version: 2.1.3
% 9.06/3.14 % (3096526)Termination reason: Refutation
% 9.06/3.14 % (3096526)Time elapsed: 0.107 s
% 9.06/3.14 % (3096526)Peak memory usage: 119 MB
% 9.06/3.14 % (3096526)Instructions burned: 114 (million)
% 9.06/3.14 % (3096526)------------------------------
% 9.06/3.14 % (3096526)------------------------------
% 9.06/3.14 % (3096486)Success in time 2.17 s
% 9.06/3.14 % Vampire exiting
%------------------------------------------------------------------------------