%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KRS169+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 : n013.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 11:41:49 AM UTC 2026
% Result : Theorem 3.66s 1.49s
% Output : Refutation 3.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 7
% Syntax : Number of formulae : 41 ( 12 unt; 0 def)
% Number of atoms : 146 ( 0 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 196 ( 91 ~; 79 |; 19 &)
% ( 5 <=>; 1 =>; 0 <=; 1 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 25 ( 21 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
fof(f2,axiom,
! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f3,axiom,
cowlThing(iX),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f4,axiom,
rhasLeader(iX,iY),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f5,axiom,
cowlThing(iY),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f6,axiom,
! [X0,X1] :
( rhasLeader(X0,X1)
<=> rhasHead(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f7,conjecture,
( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& cowlThing(iX)
& rhasHead(iX,iY)
& cowlThing(iY) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
fof(f8,negated_conjecture,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& cowlThing(iX)
& rhasHead(iX,iY)
& cowlThing(iY) ),
inference(negated_conjecture,[status(cth)],[f7]) ).
fof(f9,plain,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& cowlThing(iX)
& rhasHead(iX,iY)
& cowlThing(iY) ),
inference(rectify,[],[f8]) ).
fof(f10,plain,
! [X0,X1] :
( rhasLeader(X0,X1)
=> rhasHead(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f6]) ).
fof(f11,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( xsd_string(X1)
<~> ~ xsd_integer(X1) )
| ~ cowlThing(iX)
| ~ rhasHead(iX,iY)
| ~ cowlThing(iY) ),
inference(ennf_transformation,[],[f9]) ).
fof(f12,plain,
! [X0,X1] :
( rhasHead(X0,X1)
| ~ rhasLeader(X0,X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f13,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( ( xsd_integer(X1)
| ~ xsd_string(X1) )
& ( ~ xsd_integer(X1)
| xsd_string(X1) ) )
| ~ cowlThing(iX)
| ~ rhasHead(iX,iY)
| ~ cowlThing(iY) ),
inference(nnf_transformation,[],[f11]) ).
fof(f14,plain,
( ~ cowlThing(sK0)
| cowlNothing(sK0)
| ( ( xsd_integer(sK1)
| ~ xsd_string(sK1) )
& ( ~ xsd_integer(sK1)
| xsd_string(sK1) ) )
| ~ cowlThing(iX)
| ~ rhasHead(iX,iY)
| ~ cowlThing(iY) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f13]) ).
fof(f15,plain,
! [X0] :
( ( xsd_string(X0)
| xsd_integer(X0) )
& ( ~ xsd_integer(X0)
| ~ xsd_string(X0) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f16,plain,
( ~ rhasHead(iX,iY)
| cowlNothing(sK0)
| ~ xsd_integer(sK1)
| xsd_string(sK1)
| ~ cowlThing(iX)
| ~ cowlThing(sK0)
| ~ cowlThing(iY) ),
inference(cnf_transformation,[],[f14]) ).
fof(f17,plain,
( ~ rhasHead(iX,iY)
| cowlNothing(sK0)
| xsd_integer(sK1)
| ~ xsd_string(sK1)
| ~ cowlThing(iX)
| ~ cowlThing(sK0)
| ~ cowlThing(iY) ),
inference(cnf_transformation,[],[f14]) ).
fof(f18,plain,
cowlThing(iX),
inference(cnf_transformation,[],[f3]) ).
fof(f19,plain,
cowlThing(iY),
inference(cnf_transformation,[],[f5]) ).
fof(f20,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f21,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f22,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f23,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f24,plain,
! [X0,X1] :
( rhasHead(X0,X1)
| ~ rhasLeader(X0,X1) ),
inference(cnf_transformation,[],[f12]) ).
fof(f25,plain,
rhasLeader(iX,iY),
inference(cnf_transformation,[],[f4]) ).
fof(f27,plain,
( ~ rhasLeader(iX,iY)
| cowlNothing(sK0)
| xsd_integer(sK1)
| ~ xsd_string(sK1)
| ~ cowlThing(iX)
| ~ cowlThing(sK0)
| ~ cowlThing(iY) ),
inference(resolution,[],[f24,f17]) ).
fof(f28,plain,
( ~ rhasLeader(iX,iY)
| cowlNothing(sK0)
| ~ xsd_integer(sK1)
| xsd_string(sK1)
| ~ cowlThing(iX)
| ~ cowlThing(sK0)
| ~ cowlThing(iY) ),
inference(resolution,[],[f24,f16]) ).
fof(f29,plain,
( ~ rhasLeader(iX,iY)
| cowlNothing(sK0)
| ~ xsd_integer(sK1)
| ~ cowlThing(iX)
| ~ cowlThing(sK0)
| ~ cowlThing(iY) ),
inference(forward_subsumption_resolution,[],[f28,f22]) ).
fof(f30,plain,
( cowlNothing(sK0)
| xsd_integer(sK1)
| ~ xsd_string(sK1)
| ~ cowlThing(iX)
| ~ cowlThing(sK0)
| ~ cowlThing(iY) ),
inference(forward_subsumption_resolution,[],[f27,f25]) ).
fof(f31,plain,
( cowlNothing(sK0)
| ~ xsd_integer(sK1)
| ~ cowlThing(iX)
| ~ cowlThing(sK0)
| ~ cowlThing(iY) ),
inference(forward_subsumption_resolution,[],[f29,f25]) ).
fof(f32,plain,
( xsd_integer(sK1)
| ~ xsd_string(sK1)
| ~ cowlThing(iX)
| ~ cowlThing(sK0)
| ~ cowlThing(iY) ),
inference(forward_subsumption_resolution,[],[f30,f20]) ).
fof(f33,plain,
( ~ xsd_integer(sK1)
| ~ cowlThing(iX)
| ~ cowlThing(sK0)
| ~ cowlThing(iY) ),
inference(forward_subsumption_resolution,[],[f31,f20]) ).
fof(f34,plain,
( ~ xsd_string(sK1)
| ~ cowlThing(iX)
| ~ cowlThing(sK0)
| ~ cowlThing(iY) ),
inference(forward_subsumption_resolution,[],[f32,f22]) ).
fof(f35,plain,
( ~ xsd_integer(sK1)
| ~ cowlThing(sK0)
| ~ cowlThing(iY) ),
inference(forward_subsumption_resolution,[],[f33,f18]) ).
fof(f36,plain,
( ~ xsd_string(sK1)
| ~ cowlThing(sK0)
| ~ cowlThing(iY) ),
inference(forward_subsumption_resolution,[],[f34,f18]) ).
fof(f37,plain,
( ~ xsd_integer(sK1)
| ~ cowlThing(iY) ),
inference(forward_subsumption_resolution,[],[f35,f21]) ).
fof(f38,plain,
( ~ xsd_string(sK1)
| ~ cowlThing(iY) ),
inference(forward_subsumption_resolution,[],[f36,f21]) ).
fof(f39,plain,
~ xsd_integer(sK1),
inference(forward_subsumption_resolution,[],[f37,f19]) ).
fof(f40,plain,
~ xsd_string(sK1),
inference(forward_subsumption_resolution,[],[f38,f19]) ).
fof(f41,plain,
xsd_string(sK1),
inference(resolution,[],[f39,f23]) ).
fof(f42,plain,
$false,
inference(forward_subsumption_resolution,[],[f41,f40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS169+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n013.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 13:32:51 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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
% 3.66/1.49 % (233508)Detected formulas, will run a generic FOF schedule.
% 3.66/1.49 % (233516)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2012411050:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.66/1.49 % (233516)Refutation not found, incomplete strategy
% 3.66/1.49 % (233516)------------------------------
% 3.66/1.49 % (233516)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.66/1.49 % (233516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.66/1.49 % (233516)CaDiCaL version: 2.1.3
% 3.66/1.49 % (233516)Termination reason: Refutation not found, incomplete strategy
% 3.66/1.49 % (233516)Time elapsed: 0.0000 s
% 3.66/1.49 % (233516)Peak memory usage: 86 MB
% 3.66/1.49 % (233519)dis-21_1_sil=8000:lcm=predicate:random_seed=2082051: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)
% 3.66/1.49 % (233515)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=3206092313:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.66/1.49 % (233517)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4153633314:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.66/1.49 % (233514)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=3896010203:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.66/1.49 % (233513)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=3041852516:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.66/1.49 % (233517)First to succeed.
% 3.66/1.49 % (233519)Also succeeded, but the first one will report.
% 3.66/1.49 % (233517)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-233508"
% 3.66/1.49 % (233518)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1646661102:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.66/1.49 % (233518)Also succeeded, but the first one will report.
% 3.66/1.49 % (233516)------------------------------
% 3.66/1.49 % (233516)------------------------------
% 3.66/1.49 % (233527)lrs+10_1_sil=8000:sp=occurrence:random_seed=633784278:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.66/1.49 % (233527)Also succeeded, but the first one will report.
% 3.66/1.49 % (233517)Refutation found. Thanks to Tanya!
% 3.66/1.49 % SZS status Theorem for theBenchmark
% 3.66/1.49 % SZS output start Proof for theBenchmark
% See solution above
% 3.66/1.49 % (233517)------------------------------
% 3.66/1.49 % (233517)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.66/1.49 % (233517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.66/1.49 % (233517)CaDiCaL version: 2.1.3
% 3.66/1.49 % (233517)Termination reason: Refutation
% 3.66/1.49 % (233517)Time elapsed: 0.002 s
% 3.66/1.49 % (233517)Peak memory usage: 88 MB
% 3.66/1.49 % (233517)Instructions burned: 1 (million)
% 3.66/1.49 % (233517)------------------------------
% 3.66/1.49 % (233517)------------------------------
% 3.66/1.49 % (233508)Success in time 0.439 s
% 3.66/1.49 % Vampire exiting
%------------------------------------------------------------------------------