%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR108+7 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 09:43:08 AM UTC 2026
% Result : Theorem 6.52s 3.24s
% Output : Refutation 6.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 4 unt; 0 def)
% Number of atoms : 25 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 30 ( 15 ~; 9 |; 6 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 6 ( 4 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f27191,axiom,
! [X0] : s__instance(X0,s__Entity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb_SUMO_27371) ).
fof(f55611,conjecture,
? [X0] :
( s__instance(s__Entity44_1,X0)
& s__instance(s__Entity44_2,X0)
& s__instance(s__Entity44_9,X0)
& s__instance(s__Entity44_10,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_from_ALL) ).
fof(f55612,negated_conjecture,
~ ? [X0] :
( s__instance(s__Entity44_1,X0)
& s__instance(s__Entity44_2,X0)
& s__instance(s__Entity44_9,X0)
& s__instance(s__Entity44_10,X0) ),
inference(negated_conjecture,[status(cth)],[f55611]) ).
fof(f55619,plain,
! [X0] :
( ~ s__instance(s__Entity44_1,X0)
| ~ s__instance(s__Entity44_2,X0)
| ~ s__instance(s__Entity44_9,X0)
| ~ s__instance(s__Entity44_10,X0) ),
inference(ennf_transformation,[],[f55612]) ).
fof(f55630,plain,
! [X0] :
( ~ s__instance(s__Entity44_10,X0)
| ~ s__instance(s__Entity44_2,X0)
| ~ s__instance(s__Entity44_9,X0)
| ~ s__instance(s__Entity44_1,X0) ),
inference(cnf_transformation,[],[f55619]) ).
fof(f55650,plain,
! [X0] : s__instance(X0,s__Entity),
inference(cnf_transformation,[],[f27191]) ).
fof(f55671,plain,
( ~ s__instance(s__Entity44_2,s__Entity)
| ~ s__instance(s__Entity44_9,s__Entity)
| ~ s__instance(s__Entity44_1,s__Entity) ),
inference(resolution,[],[f55650,f55630]) ).
fof(f55672,plain,
( ~ s__instance(s__Entity44_9,s__Entity)
| ~ s__instance(s__Entity44_1,s__Entity) ),
inference(forward_subsumption_resolution,[],[f55671,f55650]) ).
fof(f55673,plain,
~ s__instance(s__Entity44_1,s__Entity),
inference(forward_subsumption_resolution,[],[f55672,f55650]) ).
fof(f55674,plain,
$false,
inference(forward_subsumption_resolution,[],[f55673,f55650]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR108+7 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n011.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 23:00:16 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running first-order theorem proving
% 0.07/0.21 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
% 6.52/3.24 % (3870812)Detected formulas, will run a generic FOF schedule.
% 6.52/3.24 % (3870821)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1265795957:i=119:av=off:ss=axioms_2982 on theBenchmark for (2982ds/119Mi)
% 6.52/3.24 % (3870822)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2250521350:s2a=on:i=139:gtg=position_2982 on theBenchmark for (2982ds/139Mi)
% 6.52/3.24 % (3870823)dis-21_1_sil=8000:lcm=predicate:random_seed=1814939193:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2982 on theBenchmark for (2982ds/129Mi)
% 6.52/3.24 % (3870819)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=470786992:i=141695:sd=1:nm=32:gsp=on:ss=included_2982 on theBenchmark for (2982ds/141695Mi)
% 6.52/3.24 % (3870818)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=739719615:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2982 on theBenchmark for (2982ds/134677Mi)
% 6.52/3.24 % (3870817)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=546177786:i=141193_2982 on theBenchmark for (2982ds/141193Mi)
% 6.52/3.24 % (3870820)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1211292092:i=109:sd=1:ins=1:gsp=on:ss=axioms_2982 on theBenchmark for (2982ds/109Mi)
% 6.52/3.24 % (3870821)Instruction limit reached!
% 6.52/3.24 % (3870821)------------------------------
% 6.52/3.24 % (3870821)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/3.24 % (3870821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/3.24 % (3870821)CaDiCaL version: 2.1.3
% 6.52/3.24 % (3870821)Termination reason: Instruction limit
% 6.52/3.24 % (3870821)Termination phase: SInE selection
% 6.52/3.24 % (3870821)Time elapsed: 0.045 s
% 6.52/3.24 % (3870821)Peak memory usage: 139 MB
% 6.52/3.24 % (3870821)Instructions burned: 119 (million)
% 6.52/3.24 % (3870820)Instruction limit reached!
% 6.52/3.24 % (3870820)------------------------------
% 6.52/3.24 % (3870820)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/3.24 % (3870820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/3.24 % (3870820)CaDiCaL version: 2.1.3
% 6.52/3.24 % (3870820)Termination reason: Instruction limit
% 6.52/3.24 % (3870820)Termination phase: SInE selection
% 6.52/3.24 % (3870820)Time elapsed: 0.066 s
% 6.52/3.24 % (3870820)Peak memory usage: 138 MB
% 6.52/3.24 % (3870820)Instructions burned: 110 (million)
% 6.52/3.24 % (3870823)Instruction limit reached!
% 6.52/3.24 % (3870823)------------------------------
% 6.52/3.24 % (3870823)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/3.24 % (3870823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/3.24 % (3870823)CaDiCaL version: 2.1.3
% 6.52/3.24 % (3870823)Termination reason: Instruction limit
% 6.52/3.24 % (3870823)Termination phase: SInE selection
% 6.52/3.24 % (3870823)Time elapsed: 0.075 s
% 6.52/3.24 % (3870823)Peak memory usage: 138 MB
% 6.52/3.24 % (3870823)Instructions burned: 130 (million)
% 6.52/3.24 % (3870822)Instruction limit reached!
% 6.52/3.24 % (3870822)------------------------------
% 6.52/3.24 % (3870822)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/3.24 % (3870822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/3.24 % (3870822)CaDiCaL version: 2.1.3
% 6.52/3.24 % (3870822)Termination reason: Instruction limit
% 6.52/3.24 % (3870822)Termination phase: Property scanning
% 6.52/3.24 % (3870822)Time elapsed: 0.077 s
% 6.52/3.24 % (3870822)Peak memory usage: 138 MB
% 6.52/3.24 % (3870822)Instructions burned: 141 (million)
% 6.52/3.24 % (3870831)lrs+10_1_sil=8000:sp=occurrence:random_seed=3022970591:i=285:sd=3:ss=axioms:sgt=8_2980 on theBenchmark for (2980ds/285Mi)
% 6.52/3.24 % (3870833)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2345895050:i=325:sd=1:ss=axioms:sgt=32_2980 on theBenchmark for (2980ds/325Mi)
% 6.52/3.24 % (3870832)lrs+10_1_sil=32000:urr=on:br=off:random_seed=557902620:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2980 on theBenchmark for (2980ds/157Mi)
% 6.52/3.24 % (3870831)First to succeed.
% 6.52/3.24 % (3870831)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3870812"
% 6.52/3.24 % (3870834)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=1549964908:s2a=on:i=248:s2at=1.23:gtg=position_2980 on theBenchmark for (2980ds/248Mi)
% 6.52/3.24 % (3870832)Instruction limit reached!
% 6.52/3.24 % (3870832)------------------------------
% 6.52/3.24 % (3870832)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/3.24 % (3870832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/3.24 % (3870832)CaDiCaL version: 2.1.3
% 6.52/3.24 % (3870832)Termination reason: Instruction limit
% 6.52/3.24 % (3870832)Termination phase: Property scanning
% 6.52/3.24 % (3870832)Time elapsed: 0.086 s
% 6.52/3.24 % (3870832)Peak memory usage: 138 MB
% 6.52/3.24 % (3870832)Instructions burned: 158 (million)
% 6.52/3.24 % (3870834)Instruction limit reached!
% 6.52/3.24 % (3870834)------------------------------
% 6.52/3.24 % (3870834)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/3.24 % (3870834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/3.24 % (3870834)CaDiCaL version: 2.1.3
% 6.52/3.24 % (3870834)Termination reason: Instruction limit
% 6.52/3.24 % (3870834)Termination phase: Property scanning
% 6.52/3.24 % (3870834)Time elapsed: 0.125 s
% 6.52/3.24 % (3870834)Peak memory usage: 138 MB
% 6.52/3.24 % (3870834)Instructions burned: 248 (million)
% 6.52/3.24 % (3870833)Also succeeded, but the first one will report.
% 6.52/3.24 % (3870831)Refutation found. Thanks to Tanya!
% 6.52/3.24 % SZS status Theorem for theBenchmark
% 6.52/3.24 % SZS output start Proof for theBenchmark
% See solution above
% 6.52/3.24 % (3870831)------------------------------
% 6.52/3.24 % (3870831)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/3.24 % (3870831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/3.24 % (3870831)CaDiCaL version: 2.1.3
% 6.52/3.24 % (3870831)Termination reason: Refutation
% 6.52/3.24 % (3870831)Time elapsed: 0.099 s
% 6.52/3.24 % (3870831)Peak memory usage: 144 MB
% 6.52/3.24 % (3870831)Instructions burned: 207 (million)
% 6.52/3.24 % (3870831)------------------------------
% 6.52/3.24 % (3870831)------------------------------
% 6.52/3.24 % (3870812)Success in time 2.326 s
% 6.52/3.24 % Vampire exiting
%------------------------------------------------------------------------------