%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KRS152+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 11:41:46 AM UTC 2026
% Result : Theorem 3.33s 1.35s
% Output : Refutation 3.33s
% 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/sandbox/benchmark/theBenchmark.p',axiom_0) ).
fof(f2,axiom,
! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(f3,axiom,
! [X0] :
( cC10(X0)
<=> ( cC2(X0)
& cC4(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f4,axiom,
! [X0] :
( cC12(X0)
<=> ? [X1] :
( rR1(X0,X1)
& cC10(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f9,axiom,
cowlThing(iV21080),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(f12,axiom,
rR1(iV21080,iV21081),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
fof(f14,axiom,
cowlThing(iV21081),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).
fof(f15,axiom,
cC2(iV21081),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).
fof(f16,axiom,
cC4(iV21081),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_15) ).
fof(f17,conjecture,
( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& cowlThing(iV21080)
& cC12(iV21080)
& cC10(iV21081)
& cowlThing(iV21081) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
fof(f18,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)],[f17]) ).
fof(f19,plain,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& cowlThing(iV21080)
& cC12(iV21080)
& cC10(iV21081)
& cowlThing(iV21081) ),
inference(rectify,[],[f18]) ).
fof(f21,plain,
! [X0] :
( ? [X1] :
( rR1(X0,X1)
& cC10(X1) )
=> cC12(X0) ),
inference(unused_predicate_definition_removal,[],[f4]) ).
fof(f22,plain,
! [X0] :
( ( cC2(X0)
& cC4(X0) )
=> cC10(X0) ),
inference(unused_predicate_definition_removal,[],[f3]) ).
fof(f23,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( xsd_string(X1)
<~> ~ xsd_integer(X1) )
| ~ cowlThing(iV21080)
| ~ cC12(iV21080)
| ~ cC10(iV21081)
| ~ cowlThing(iV21081) ),
inference(ennf_transformation,[],[f19]) ).
fof(f24,plain,
! [X0] :
( cC12(X0)
| ! [X1] :
( ~ rR1(X0,X1)
| ~ cC10(X1) ) ),
inference(ennf_transformation,[],[f21]) ).
fof(f25,plain,
! [X0] :
( cC10(X0)
| ~ cC2(X0)
| ~ cC4(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f26,plain,
! [X0] :
( cC10(X0)
| ~ cC2(X0)
| ~ cC4(X0) ),
inference(flattening,[],[f25]) ).
fof(f30,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,[],[f23]) ).
fof(f31,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)],[f30]) ).
fof(f32,plain,
! [X0] :
( ( xsd_string(X0)
| xsd_integer(X0) )
& ( ~ xsd_integer(X0)
| ~ xsd_string(X0) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f33,plain,
( xsd_string(sK1)
| cowlNothing(sK0)
| ~ xsd_integer(sK1)
| ~ cowlThing(sK0)
| ~ cowlThing(iV21080)
| ~ cC12(iV21080)
| ~ cC10(iV21081)
| ~ cowlThing(iV21081) ),
inference(cnf_transformation,[],[f31]) ).
fof(f34,plain,
( xsd_integer(sK1)
| cowlNothing(sK0)
| ~ cowlThing(sK0)
| ~ xsd_string(sK1)
| ~ cowlThing(iV21080)
| ~ cC12(iV21080)
| ~ cC10(iV21081)
| ~ cowlThing(iV21081) ),
inference(cnf_transformation,[],[f31]) ).
fof(f35,plain,
cowlThing(iV21081),
inference(cnf_transformation,[],[f14]) ).
fof(f36,plain,
cowlThing(iV21080),
inference(cnf_transformation,[],[f9]) ).
fof(f37,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f38,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f39,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f40,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f41,plain,
! [X0,X1] :
( ~ rR1(X0,X1)
| cC12(X0)
| ~ cC10(X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f42,plain,
! [X0] :
( cC10(X0)
| ~ cC2(X0)
| ~ cC4(X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f43,plain,
rR1(iV21080,iV21081),
inference(cnf_transformation,[],[f12]) ).
fof(f45,plain,
cC2(iV21081),
inference(cnf_transformation,[],[f15]) ).
fof(f47,plain,
cC4(iV21081),
inference(cnf_transformation,[],[f16]) ).
fof(f49,plain,
( ~ xsd_string(sK1)
| cowlNothing(sK0)
| ~ cowlThing(sK0)
| ~ xsd_string(sK1)
| ~ cowlThing(iV21080)
| ~ cC12(iV21080)
| ~ cC10(iV21081)
| ~ cowlThing(iV21081) ),
inference(resolution,[],[f39,f34]) ).
fof(f50,plain,
( ~ xsd_string(sK1)
| cowlNothing(sK0)
| ~ cowlThing(sK0)
| ~ cowlThing(iV21080)
| ~ cC12(iV21080)
| ~ cC10(iV21081)
| ~ cowlThing(iV21081) ),
inference(duplicate_literal_removal,[],[f49]) ).
fof(f51,plain,
( ~ xsd_string(sK1)
| ~ cowlThing(sK0)
| ~ cowlThing(iV21080)
| ~ cC12(iV21080)
| ~ cC10(iV21081)
| ~ cowlThing(iV21081) ),
inference(forward_subsumption_resolution,[],[f50,f37]) ).
fof(f52,plain,
( ~ xsd_string(sK1)
| ~ cowlThing(iV21080)
| ~ cC12(iV21080)
| ~ cC10(iV21081)
| ~ cowlThing(iV21081) ),
inference(forward_subsumption_resolution,[],[f51,f38]) ).
fof(f53,plain,
( ~ xsd_string(sK1)
| ~ cC12(iV21080)
| ~ cC10(iV21081)
| ~ cowlThing(iV21081) ),
inference(forward_subsumption_resolution,[],[f52,f36]) ).
fof(f54,plain,
( ~ cC12(iV21080)
| ~ xsd_string(sK1)
| ~ cC10(iV21081) ),
inference(forward_subsumption_resolution,[],[f53,f35]) ).
fof(f58,plain,
( cC12(iV21080)
| ~ cC10(iV21081) ),
inference(resolution,[],[f41,f43]) ).
fof(f59,plain,
( ~ cC10(iV21081)
| ~ xsd_string(sK1)
| ~ cC10(iV21081) ),
inference(resolution,[],[f58,f54]) ).
fof(f60,plain,
( ~ cC10(iV21081)
| ~ xsd_string(sK1) ),
inference(duplicate_literal_removal,[],[f59]) ).
fof(f61,plain,
( ~ xsd_string(sK1)
| ~ cC2(iV21081)
| ~ cC4(iV21081) ),
inference(resolution,[],[f60,f42]) ).
fof(f62,plain,
( ~ xsd_string(sK1)
| ~ cC4(iV21081) ),
inference(forward_subsumption_resolution,[],[f61,f45]) ).
fof(f63,plain,
~ xsd_string(sK1),
inference(forward_subsumption_resolution,[],[f62,f47]) ).
fof(f64,plain,
( cowlNothing(sK0)
| ~ xsd_integer(sK1)
| ~ cowlThing(sK0)
| ~ cowlThing(iV21080)
| ~ cC12(iV21080)
| ~ cC10(iV21081)
| ~ cowlThing(iV21081) ),
inference(resolution,[],[f63,f33]) ).
fof(f65,plain,
( cowlNothing(sK0)
| ~ xsd_integer(sK1)
| ~ cowlThing(sK0)
| ~ cowlThing(iV21080)
| ~ cC10(iV21081)
| ~ cowlThing(iV21081) ),
inference(forward_subsumption_resolution,[],[f64,f58]) ).
fof(f66,plain,
( ~ xsd_integer(sK1)
| ~ cowlThing(sK0)
| ~ cowlThing(iV21080)
| ~ cC10(iV21081)
| ~ cowlThing(iV21081) ),
inference(forward_subsumption_resolution,[],[f65,f37]) ).
fof(f67,plain,
( ~ xsd_integer(sK1)
| ~ cowlThing(iV21080)
| ~ cC10(iV21081)
| ~ cowlThing(iV21081) ),
inference(forward_subsumption_resolution,[],[f66,f38]) ).
fof(f68,plain,
( ~ xsd_integer(sK1)
| ~ cC10(iV21081)
| ~ cowlThing(iV21081) ),
inference(forward_subsumption_resolution,[],[f67,f36]) ).
fof(f69,plain,
( ~ cC10(iV21081)
| ~ xsd_integer(sK1) ),
inference(forward_subsumption_resolution,[],[f68,f35]) ).
fof(f70,plain,
( ~ xsd_integer(sK1)
| ~ cC2(iV21081)
| ~ cC4(iV21081) ),
inference(resolution,[],[f69,f42]) ).
fof(f71,plain,
( ~ xsd_integer(sK1)
| ~ cC4(iV21081) ),
inference(forward_subsumption_resolution,[],[f70,f45]) ).
fof(f72,plain,
~ xsd_integer(sK1),
inference(forward_subsumption_resolution,[],[f71,f47]) ).
fof(f74,plain,
xsd_string(sK1),
inference(resolution,[],[f72,f40]) ).
fof(f75,plain,
$false,
inference(forward_subsumption_resolution,[],[f74,f63]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS152+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n010.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 13:30:47 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 3.33/1.35 % (969997)Detected formulas, will run a generic FOF schedule.
% 3.33/1.35 % (970003)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=873567970:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.33/1.35 % (970005)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1224659182:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.33/1.35 % (970006)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1649126196:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.33/1.35 % (970008)dis-21_1_sil=8000:lcm=predicate:random_seed=614149738: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)
% 3.33/1.35 % (970007)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1495415485:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.33/1.35 % (970004)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=3465545442:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.33/1.35 % (970002)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=2859315826:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.33/1.35 % (970005)Refutation not found, incomplete strategy
% 3.33/1.35 % (970005)------------------------------
% 3.33/1.35 % (970005)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.33/1.35 % (970005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.33/1.35 % (970005)CaDiCaL version: 2.1.3
% 3.33/1.35 % (970005)Termination reason: Refutation not found, incomplete strategy
% 3.33/1.35 % (970005)Time elapsed: 0.001 s
% 3.33/1.35 % (970005)Peak memory usage: 87 MB
% 3.33/1.35 % (970006)First to succeed.
% 3.33/1.35 % (970007)Also succeeded, but the first one will report.
% 3.33/1.35 % (970008)Also succeeded, but the first one will report.
% 3.33/1.35 % (970006)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-969997"
% 3.33/1.35 % (970005)------------------------------
% 3.33/1.35 % (970005)------------------------------
% 3.33/1.35 % (970006)Refutation found. Thanks to Tanya!
% 3.33/1.35 % SZS status Theorem for theBenchmark
% 3.33/1.35 % SZS output start Proof for theBenchmark
% See solution above
% 3.33/1.35 % (970006)------------------------------
% 3.33/1.35 % (970006)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.33/1.35 % (970006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.33/1.35 % (970006)CaDiCaL version: 2.1.3
% 3.33/1.35 % (970006)Termination reason: Refutation
% 3.33/1.35 % (970006)Time elapsed: 0.002 s
% 3.33/1.35 % (970006)Peak memory usage: 88 MB
% 3.33/1.35 % (970006)Instructions burned: 2 (million)
% 3.33/1.35 % (970006)------------------------------
% 3.33/1.35 % (970006)------------------------------
% 3.33/1.35 % (969997)Success in time 0.403 s
% 3.33/1.35 % Vampire exiting
%------------------------------------------------------------------------------