%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KRS068+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 11:41:34 AM UTC 2026
% Result : Unsatisfiable 2.70s 1.36s
% Output : Refutation 2.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 36 ( 8 unt; 2 def)
% Number of atoms : 72 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 68 ( 32 ~; 26 |; 2 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 24 ( 0 sgn 23 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( cUnsatisfiable(X0)
=> cc(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f4,axiom,
! [X0] :
( cUnsatisfiable(X0)
=> ~ cd(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f5,axiom,
! [X0] :
( cc(X0)
=> ! [X1] :
( rr(X0,X1)
=> cc(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f6,axiom,
cUnsatisfiable(i2003_11_14_17_18_23845),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f7,axiom,
! [X0] :
( ! [X1] :
( rr(X0,X1)
=> cc(X1) )
=> cd(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(f10,plain,
! [X0] :
( cc(X0)
| ~ cUnsatisfiable(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f11,plain,
! [X0] :
( ~ cd(X0)
| ~ cUnsatisfiable(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f12,plain,
! [X0] :
( ! [X1] :
( cc(X1)
| ~ rr(X0,X1) )
| ~ cc(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f13,plain,
! [X0] :
( cd(X0)
| ? [X1] :
( ~ cc(X1)
& rr(X0,X1) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f14,plain,
! [X0] :
( cd(X0)
| ( ~ cc(sK0(X0))
& rr(X0,sK0(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X1,sK0(X0))],[f13]) ).
fof(f15,plain,
! [X0] :
( cc(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f10]) ).
fof(f16,plain,
! [X0] :
( ~ cd(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f11]) ).
fof(f17,plain,
! [X0,X1] :
( cc(X1)
| ~ rr(X0,X1)
| ~ cc(X0) ),
inference(cnf_transformation,[],[f12]) ).
fof(f18,plain,
cUnsatisfiable(i2003_11_14_17_18_23845),
inference(cnf_transformation,[],[f6]) ).
fof(f19,plain,
! [X0] :
( rr(X0,sK0(X0))
| cd(X0) ),
inference(cnf_transformation,[],[f14]) ).
fof(f20,plain,
! [X0] :
( ~ cc(sK0(X0))
| cd(X0) ),
inference(cnf_transformation,[],[f14]) ).
fof(f22,plain,
! [X0,X1] :
( cd(X1)
| ~ cc(X0)
| ~ rr(X0,sK0(X1)) ),
inference(resolution,[],[f17,f20]) ).
fof(f23,plain,
! [X0,X1] :
( ~ cUnsatisfiable(X1)
| ~ rr(X0,sK0(X1))
| ~ cc(X0) ),
inference(resolution,[],[f22,f16]) ).
fof(f24,plain,
! [X0] :
( ~ rr(X0,sK0(i2003_11_14_17_18_23845))
| ~ cc(X0) ),
inference(resolution,[],[f23,f18]) ).
fof(f25,plain,
( ~ cc(i2003_11_14_17_18_23845)
| cd(i2003_11_14_17_18_23845) ),
inference(resolution,[],[f24,f19]) ).
fof(f27,definition,
( spl1_1
<=> cd(i2003_11_14_17_18_23845) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
fof(f29,plain,
( cd(i2003_11_14_17_18_23845)
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f27]) ).
fof(f31,definition,
( spl1_2
<=> cc(i2003_11_14_17_18_23845) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
fof(f33,plain,
( ~ cc(i2003_11_14_17_18_23845)
| spl1_2 ),
inference(avatar_component_clause,[],[f31]) ).
fof(f34,plain,
( spl1_1
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f25,f31,f27]) ).
fof(f36,plain,
( ~ cUnsatisfiable(i2003_11_14_17_18_23845)
| spl1_2 ),
inference(resolution,[],[f33,f15]) ).
fof(f37,plain,
( $false
| spl1_2 ),
inference(forward_subsumption_resolution,[],[f36,f18]) ).
fof(f38,plain,
spl1_2,
inference(avatar_contradiction_clause,[],[f37]) ).
fof(f39,plain,
( ~ cUnsatisfiable(i2003_11_14_17_18_23845)
| ~ spl1_1 ),
inference(resolution,[],[f29,f16]) ).
fof(f40,plain,
( $false
| ~ spl1_1 ),
inference(forward_subsumption_resolution,[],[f39,f18]) ).
fof(f41,plain,
~ spl1_1,
inference(avatar_contradiction_clause,[],[f40]) ).
cnf(s1,plain,
( spl1_1
| ~ spl1_2 ),
inference(sat_conversion,[],[f34]) ).
cnf(s2,plain,
spl1_2,
inference(sat_conversion,[],[f38]) ).
cnf(s3,plain,
~ spl1_1,
inference(sat_conversion,[],[f41]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f42,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS068+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n018.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 13:22:08 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 2.70/1.36 % (2353527)Detected formulas, will run a generic FOF schedule.
% 2.70/1.36 % (2353537)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3580935686:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.70/1.36 % (2353537)First to succeed.
% 2.70/1.36 % (2353537)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2353527"
% 2.70/1.36 % (2353533)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=1684260242:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.70/1.36 % (2353538)dis-21_1_sil=8000:lcm=predicate:random_seed=1206378408: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)
% 2.70/1.36 % (2353532)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=2022144207:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.70/1.36 % (2353536)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2447089433:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.70/1.36 % (2353535)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1103674933:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.70/1.36 % (2353534)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=1636940476:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.70/1.36 % (2353536)Refutation not found, incomplete strategy
% 2.70/1.36 % (2353536)------------------------------
% 2.70/1.36 % (2353536)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.70/1.36 % (2353536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/1.36 % (2353536)CaDiCaL version: 2.1.3
% 2.70/1.36 % (2353536)Termination reason: Refutation not found, incomplete strategy
% 2.70/1.36 % (2353536)Time elapsed: 0.0000 s
% 2.70/1.36 % (2353536)Peak memory usage: 85 MB
% 2.70/1.36 % (2353535)Refutation not found, incomplete strategy
% 2.70/1.36 % (2353535)------------------------------
% 2.70/1.36 % (2353535)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.70/1.36 % (2353535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/1.36 % (2353535)CaDiCaL version: 2.1.3
% 2.70/1.36 % (2353535)Termination reason: Refutation not found, incomplete strategy
% 2.70/1.36 % (2353535)Time elapsed: 0.0000 s
% 2.70/1.36 % (2353535)Peak memory usage: 86 MB
% 2.70/1.36 % (2353538)Also succeeded, but the first one will report.
% 2.70/1.36 % (2353537)Refutation found. Thanks to Tanya!
% 2.70/1.36 % SZS status Unsatisfiable for theBenchmark
% 2.70/1.36 % SZS output start Proof for theBenchmark
% See solution above
% 2.70/1.36 % (2353537)------------------------------
% 2.70/1.36 % (2353537)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.70/1.36 % (2353537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/1.36 % (2353537)CaDiCaL version: 2.1.3
% 2.70/1.36 % (2353537)Termination reason: Refutation
% 2.70/1.36 % (2353537)Time elapsed: 0.002 s
% 2.70/1.36 % (2353537)Peak memory usage: 89 MB
% 2.70/1.36 % (2353537)Instructions burned: 1 (million)
% 2.70/1.36 % (2353537)------------------------------
% 2.70/1.36 % (2353537)------------------------------
% 2.70/1.36 % (2353527)Success in time 0.296 s
% 2.70/1.36 % Vampire exiting
%------------------------------------------------------------------------------