%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KRS160+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 : n026.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 11:41:48 AM UTC 2026
% Result : Theorem 3.41s 1.47s
% Output : Refutation 3.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 10
% Syntax : Number of formulae : 57 ( 16 unt; 0 def)
% Number of atoms : 200 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 274 ( 131 ~; 108 |; 26 &)
% ( 6 <=>; 2 =>; 0 <=; 1 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 30 ( 24 !; 6 ?)
% 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,
! [X0] :
( cC10(X0)
<=> ( cC4(X0)
& cC2(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f4,axiom,
! [X0] :
( cC12(X0)
<=> ? [X1] :
( rR1(X0,X1)
& cC10(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f16,axiom,
cowlThing(iV21080),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_15) ).
fof(f18,axiom,
rR1(iV21080,iV21081),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_17) ).
fof(f19,axiom,
cC4(iV21081),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_18) ).
fof(f21,axiom,
cC2(iV21081),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_20) ).
fof(f22,axiom,
cowlThing(iV21081),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_21) ).
fof(f23,conjecture,
( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& cowlThing(iV21080)
& cC12(iV21080)
& cC10(iV21081)
& cowlThing(iV21081) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
fof(f24,negated_conjecture,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& cowlThing(iV21080)
& cC12(iV21080)
& cC10(iV21081)
& cowlThing(iV21081) ),
inference(negated_conjecture,[status(cth)],[f23]) ).
fof(f25,plain,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& cowlThing(iV21080)
& cC12(iV21080)
& cC10(iV21081)
& cowlThing(iV21081) ),
inference(rectify,[],[f24]) ).
fof(f26,plain,
! [X0] :
( ? [X1] :
( rR1(X0,X1)
& cC10(X1) )
=> cC12(X0) ),
inference(unused_predicate_definition_removal,[],[f4]) ).
fof(f27,plain,
! [X0] :
( ( cC4(X0)
& cC2(X0) )
=> cC10(X0) ),
inference(unused_predicate_definition_removal,[],[f3]) ).
fof(f28,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( xsd_string(X1)
<~> ~ xsd_integer(X1) )
| ~ cowlThing(iV21080)
| ~ cC12(iV21080)
| ~ cC10(iV21081)
| ~ cowlThing(iV21081) ),
inference(ennf_transformation,[],[f25]) ).
fof(f29,plain,
! [X0] :
( cC12(X0)
| ! [X1] :
( ~ rR1(X0,X1)
| ~ cC10(X1) ) ),
inference(ennf_transformation,[],[f26]) ).
fof(f30,plain,
! [X0] :
( cC10(X0)
| ~ cC4(X0)
| ~ cC2(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f31,plain,
! [X0] :
( cC10(X0)
| ~ cC4(X0)
| ~ cC2(X0) ),
inference(flattening,[],[f30]) ).
fof(f32,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( ( xsd_integer(X1)
| ~ xsd_string(X1) )
& ( ~ xsd_integer(X1)
| xsd_string(X1) ) )
| ~ cowlThing(iV21080)
| ~ cC12(iV21080)
| ~ cC10(iV21081)
| ~ cowlThing(iV21081) ),
inference(nnf_transformation,[],[f28]) ).
fof(f33,plain,
( ~ cowlThing(sK0)
| cowlNothing(sK0)
| ( ( xsd_integer(sK1)
| ~ xsd_string(sK1) )
& ( ~ xsd_integer(sK1)
| xsd_string(sK1) ) )
| ~ cowlThing(iV21080)
| ~ cC12(iV21080)
| ~ cC10(iV21081)
| ~ cowlThing(iV21081) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f32]) ).
fof(f34,plain,
! [X0] :
( ( xsd_string(X0)
| xsd_integer(X0) )
& ( ~ xsd_integer(X0)
| ~ xsd_string(X0) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f35,plain,
( xsd_string(sK1)
| cowlNothing(sK0)
| ~ xsd_integer(sK1)
| ~ cowlThing(sK0)
| ~ cowlThing(iV21080)
| ~ cC12(iV21080)
| ~ cC10(iV21081)
| ~ cowlThing(iV21081) ),
inference(cnf_transformation,[],[f33]) ).
fof(f36,plain,
( xsd_integer(sK1)
| cowlNothing(sK0)
| ~ cowlThing(sK0)
| ~ xsd_string(sK1)
| ~ cowlThing(iV21080)
| ~ cC12(iV21080)
| ~ cC10(iV21081)
| ~ cowlThing(iV21081) ),
inference(cnf_transformation,[],[f33]) ).
fof(f37,plain,
cowlThing(iV21081),
inference(cnf_transformation,[],[f22]) ).
fof(f38,plain,
cowlThing(iV21080),
inference(cnf_transformation,[],[f16]) ).
fof(f39,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f40,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f41,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f42,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f43,plain,
! [X0,X1] :
( ~ rR1(X0,X1)
| cC12(X0)
| ~ cC10(X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f44,plain,
! [X0] :
( cC10(X0)
| ~ cC4(X0)
| ~ cC2(X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f45,plain,
rR1(iV21080,iV21081),
inference(cnf_transformation,[],[f18]) ).
fof(f46,plain,
cC4(iV21081),
inference(cnf_transformation,[],[f19]) ).
fof(f47,plain,
cC2(iV21081),
inference(cnf_transformation,[],[f21]) ).
fof(f48,plain,
( ~ xsd_string(sK1)
| cowlNothing(sK0)
| ~ cowlThing(sK0)
| ~ xsd_string(sK1)
| ~ cowlThing(iV21080)
| ~ cC12(iV21080)
| ~ cC10(iV21081)
| ~ cowlThing(iV21081) ),
inference(resolution,[],[f41,f36]) ).
fof(f49,plain,
( ~ xsd_string(sK1)
| cowlNothing(sK0)
| ~ cowlThing(sK0)
| ~ cowlThing(iV21080)
| ~ cC12(iV21080)
| ~ cC10(iV21081)
| ~ cowlThing(iV21081) ),
inference(duplicate_literal_removal,[],[f48]) ).
fof(f50,plain,
( ~ xsd_string(sK1)
| ~ cowlThing(sK0)
| ~ cowlThing(iV21080)
| ~ cC12(iV21080)
| ~ cC10(iV21081)
| ~ cowlThing(iV21081) ),
inference(forward_subsumption_resolution,[],[f49,f39]) ).
fof(f51,plain,
( ~ xsd_string(sK1)
| ~ cowlThing(iV21080)
| ~ cC12(iV21080)
| ~ cC10(iV21081)
| ~ cowlThing(iV21081) ),
inference(forward_subsumption_resolution,[],[f50,f40]) ).
fof(f52,plain,
( ~ xsd_string(sK1)
| ~ cC12(iV21080)
| ~ cC10(iV21081)
| ~ cowlThing(iV21081) ),
inference(forward_subsumption_resolution,[],[f51,f38]) ).
fof(f53,plain,
( ~ cC12(iV21080)
| ~ xsd_string(sK1)
| ~ cC10(iV21081) ),
inference(forward_subsumption_resolution,[],[f52,f37]) ).
fof(f55,plain,
( cC12(iV21080)
| ~ cC10(iV21081) ),
inference(resolution,[],[f43,f45]) ).
fof(f56,plain,
( ~ cC10(iV21081)
| ~ xsd_string(sK1)
| ~ cC10(iV21081) ),
inference(resolution,[],[f55,f53]) ).
fof(f57,plain,
( ~ cC10(iV21081)
| ~ xsd_string(sK1) ),
inference(duplicate_literal_removal,[],[f56]) ).
fof(f58,plain,
( ~ xsd_string(sK1)
| ~ cC4(iV21081)
| ~ cC2(iV21081) ),
inference(resolution,[],[f57,f44]) ).
fof(f59,plain,
( ~ xsd_string(sK1)
| ~ cC2(iV21081) ),
inference(forward_subsumption_resolution,[],[f58,f46]) ).
fof(f60,plain,
~ xsd_string(sK1),
inference(forward_subsumption_resolution,[],[f59,f47]) ).
fof(f61,plain,
( cowlNothing(sK0)
| ~ xsd_integer(sK1)
| ~ cowlThing(sK0)
| ~ cowlThing(iV21080)
| ~ cC12(iV21080)
| ~ cC10(iV21081)
| ~ cowlThing(iV21081) ),
inference(resolution,[],[f60,f35]) ).
fof(f62,plain,
( cowlNothing(sK0)
| ~ xsd_integer(sK1)
| ~ cowlThing(sK0)
| ~ cowlThing(iV21080)
| ~ cC10(iV21081)
| ~ cowlThing(iV21081) ),
inference(forward_subsumption_resolution,[],[f61,f55]) ).
fof(f63,plain,
( ~ xsd_integer(sK1)
| ~ cowlThing(sK0)
| ~ cowlThing(iV21080)
| ~ cC10(iV21081)
| ~ cowlThing(iV21081) ),
inference(forward_subsumption_resolution,[],[f62,f39]) ).
fof(f64,plain,
( ~ xsd_integer(sK1)
| ~ cowlThing(iV21080)
| ~ cC10(iV21081)
| ~ cowlThing(iV21081) ),
inference(forward_subsumption_resolution,[],[f63,f40]) ).
fof(f65,plain,
( ~ xsd_integer(sK1)
| ~ cC10(iV21081)
| ~ cowlThing(iV21081) ),
inference(forward_subsumption_resolution,[],[f64,f38]) ).
fof(f66,plain,
( ~ cC10(iV21081)
| ~ xsd_integer(sK1) ),
inference(forward_subsumption_resolution,[],[f65,f37]) ).
fof(f67,plain,
( ~ xsd_integer(sK1)
| ~ cC4(iV21081)
| ~ cC2(iV21081) ),
inference(resolution,[],[f66,f44]) ).
fof(f68,plain,
( ~ xsd_integer(sK1)
| ~ cC2(iV21081) ),
inference(forward_subsumption_resolution,[],[f67,f46]) ).
fof(f69,plain,
~ xsd_integer(sK1),
inference(forward_subsumption_resolution,[],[f68,f47]) ).
fof(f71,plain,
xsd_string(sK1),
inference(resolution,[],[f69,f42]) ).
fof(f72,plain,
$false,
inference(forward_subsumption_resolution,[],[f71,f60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS160+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n026.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 13:35:42 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 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
% 3.41/1.46 % (2853931)Detected formulas, will run a generic FOF schedule.
% 3.41/1.46 % (2853938)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=274917540:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.41/1.46 % (2853942)dis-21_1_sil=8000:lcm=predicate:random_seed=1090777878: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)
% 3.41/1.46 % (2853940)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3889733877:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.41/1.46 % (2853936)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=3646203:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.41/1.46 % (2853937)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=1971440872:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.41/1.46 % (2853939)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3083644676:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.41/1.46 % (2853941)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1987132141:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.41/1.46 % (2853939)Refutation not found, incomplete strategy
% 3.41/1.46 % (2853939)------------------------------
% 3.41/1.46 % (2853939)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.41/1.46 % (2853939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.41/1.46 % (2853939)CaDiCaL version: 2.1.3
% 3.41/1.46 % (2853939)Termination reason: Refutation not found, incomplete strategy
% 3.41/1.46 % (2853939)Time elapsed: 0.001 s
% 3.41/1.46 % (2853939)Peak memory usage: 87 MB
% 3.41/1.46 % (2853940)First to succeed.
% 3.41/1.46 % (2853940)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2853931"
% 3.41/1.46 % (2853942)Also succeeded, but the first one will report.
% 3.41/1.46 % (2853941)Also succeeded, but the first one will report.
% 3.41/1.47 % (2853939)------------------------------
% 3.41/1.47 % (2853939)------------------------------
% 3.41/1.47 % (2853940)Refutation found. Thanks to Tanya!
% 3.41/1.47 % SZS status Theorem for theBenchmark
% 3.41/1.47 % SZS output start Proof for theBenchmark
% See solution above
% 3.41/1.47 % (2853940)------------------------------
% 3.41/1.47 % (2853940)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.41/1.47 % (2853940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.41/1.47 % (2853940)CaDiCaL version: 2.1.3
% 3.41/1.47 % (2853940)Termination reason: Refutation
% 3.41/1.47 % (2853940)Time elapsed: 0.002 s
% 3.41/1.47 % (2853940)Peak memory usage: 88 MB
% 3.41/1.47 % (2853940)Instructions burned: 2 (million)
% 3.41/1.47 % (2853940)------------------------------
% 3.41/1.47 % (2853940)------------------------------
% 3.41/1.47 % (2853931)Success in time 0.398 s
% 3.41/1.47 % Vampire exiting
%------------------------------------------------------------------------------