%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KRS163+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 : n016.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 2.65s 1.23s
% Output : Refutation 2.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 8
% Syntax : Number of formulae : 42 ( 14 unt; 0 def)
% Number of atoms : 146 ( 8 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 192 ( 88 ~; 79 |; 20 &)
% ( 4 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 20 ( 16 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
fof(f8,axiom,
! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(f9,axiom,
cA(ia),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f10,axiom,
cowlThing(ia),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f11,axiom,
cB(ib),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f12,axiom,
cowlThing(ib),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f13,axiom,
! [X0] :
~ ( cB(X0)
& cA(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f14,conjecture,
( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& cowlThing(ia)
& cowlThing(ib)
& ia != ib ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
fof(f15,negated_conjecture,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& cowlThing(ia)
& cowlThing(ib)
& ia != ib ),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f16,plain,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& cowlThing(ia)
& cowlThing(ib)
& ia != ib ),
inference(rectify,[],[f15]) ).
fof(f17,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( xsd_string(X1)
<~> ~ xsd_integer(X1) )
| ~ cowlThing(ia)
| ~ cowlThing(ib)
| ia = ib ),
inference(ennf_transformation,[],[f16]) ).
fof(f26,plain,
! [X0] :
( ~ cB(X0)
| ~ cA(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f31,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( ( xsd_integer(X1)
| ~ xsd_string(X1) )
& ( ~ xsd_integer(X1)
| xsd_string(X1) ) )
| ~ cowlThing(ia)
| ~ cowlThing(ib)
| ia = ib ),
inference(nnf_transformation,[],[f17]) ).
fof(f32,plain,
( ~ cowlThing(sK0)
| cowlNothing(sK0)
| ( ( xsd_integer(sK1)
| ~ xsd_string(sK1) )
& ( ~ xsd_integer(sK1)
| xsd_string(sK1) ) )
| ~ cowlThing(ia)
| ~ cowlThing(ib)
| ia = ib ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f31]) ).
fof(f33,plain,
! [X0] :
( ( xsd_string(X0)
| xsd_integer(X0) )
& ( ~ xsd_integer(X0)
| ~ xsd_string(X0) ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f34,plain,
( ia = ib
| cowlNothing(sK0)
| ~ xsd_integer(sK1)
| xsd_string(sK1)
| ~ cowlThing(ia)
| ~ cowlThing(ib)
| ~ cowlThing(sK0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f35,plain,
( ia = ib
| cowlNothing(sK0)
| xsd_integer(sK1)
| ~ xsd_string(sK1)
| ~ cowlThing(ia)
| ~ cowlThing(ib)
| ~ cowlThing(sK0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f36,plain,
cowlThing(ia),
inference(cnf_transformation,[],[f10]) ).
fof(f37,plain,
cA(ia),
inference(cnf_transformation,[],[f9]) ).
fof(f38,plain,
cowlThing(ib),
inference(cnf_transformation,[],[f12]) ).
fof(f39,plain,
cB(ib),
inference(cnf_transformation,[],[f11]) ).
fof(f40,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f7]) ).
fof(f41,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f7]) ).
fof(f44,plain,
! [X0] :
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f45,plain,
! [X0] :
( xsd_string(X0)
| xsd_integer(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f48,plain,
! [X0] :
( ~ cB(X0)
| ~ cA(X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f73,plain,
~ cA(ib),
inference(resolution,[],[f48,f39]) ).
fof(f80,plain,
( ~ cA(ia)
| cowlNothing(sK0)
| xsd_integer(sK1)
| ~ xsd_string(sK1)
| ~ cowlThing(ia)
| ~ cowlThing(ib)
| ~ cowlThing(sK0) ),
inference(superposition,[],[f73,f35]) ).
fof(f81,plain,
( ~ cA(ia)
| cowlNothing(sK0)
| ~ xsd_integer(sK1)
| xsd_string(sK1)
| ~ cowlThing(ia)
| ~ cowlThing(ib)
| ~ cowlThing(sK0) ),
inference(superposition,[],[f73,f34]) ).
fof(f82,plain,
( ~ cA(ia)
| cowlNothing(sK0)
| ~ xsd_integer(sK1)
| ~ cowlThing(ia)
| ~ cowlThing(ib)
| ~ cowlThing(sK0) ),
inference(forward_subsumption_resolution,[],[f81,f44]) ).
fof(f83,plain,
( ~ cA(ia)
| cowlNothing(sK0)
| xsd_integer(sK1)
| ~ cowlThing(ia)
| ~ cowlThing(ib)
| ~ cowlThing(sK0) ),
inference(forward_subsumption_resolution,[],[f80,f45]) ).
fof(f84,plain,
( cowlNothing(sK0)
| ~ xsd_integer(sK1)
| ~ cowlThing(ia)
| ~ cowlThing(ib)
| ~ cowlThing(sK0) ),
inference(forward_subsumption_resolution,[],[f82,f37]) ).
fof(f85,plain,
( cowlNothing(sK0)
| xsd_integer(sK1)
| ~ cowlThing(ia)
| ~ cowlThing(ib)
| ~ cowlThing(sK0) ),
inference(forward_subsumption_resolution,[],[f83,f37]) ).
fof(f86,plain,
( ~ xsd_integer(sK1)
| ~ cowlThing(ia)
| ~ cowlThing(ib)
| ~ cowlThing(sK0) ),
inference(forward_subsumption_resolution,[],[f84,f40]) ).
fof(f87,plain,
( xsd_integer(sK1)
| ~ cowlThing(ia)
| ~ cowlThing(ib)
| ~ cowlThing(sK0) ),
inference(forward_subsumption_resolution,[],[f85,f40]) ).
fof(f88,plain,
( ~ xsd_integer(sK1)
| ~ cowlThing(ib)
| ~ cowlThing(sK0) ),
inference(forward_subsumption_resolution,[],[f86,f36]) ).
fof(f89,plain,
( xsd_integer(sK1)
| ~ cowlThing(ib)
| ~ cowlThing(sK0) ),
inference(forward_subsumption_resolution,[],[f87,f36]) ).
fof(f90,plain,
( ~ xsd_integer(sK1)
| ~ cowlThing(sK0) ),
inference(forward_subsumption_resolution,[],[f88,f38]) ).
fof(f91,plain,
( xsd_integer(sK1)
| ~ cowlThing(sK0) ),
inference(forward_subsumption_resolution,[],[f89,f38]) ).
fof(f92,plain,
~ xsd_integer(sK1),
inference(forward_subsumption_resolution,[],[f90,f41]) ).
fof(f93,plain,
xsd_integer(sK1),
inference(forward_subsumption_resolution,[],[f91,f41]) ).
fof(f94,plain,
$false,
inference(forward_subsumption_resolution,[],[f93,f92]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS163+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.35 % Computer : n016.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 27 13:37:17 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 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
% 2.65/1.23 % (2655802)Detected formulas, will run a generic FOF schedule.
% 2.65/1.23 % (2655811)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2157046174:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.65/1.23 % (2655811)First to succeed.
% 2.65/1.23 % (2655811)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2655802"
% 2.65/1.23 % (2655809)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=1353755285:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.65/1.23 % (2655810)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3842551478:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.65/1.23 % (2655808)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=3483011493:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.65/1.23 % (2655807)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=807819204:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.65/1.23 % (2655810)Refutation not found, incomplete strategy
% 2.65/1.23 % (2655810)------------------------------
% 2.65/1.23 % (2655810)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.65/1.23 % (2655810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/1.23 % (2655810)CaDiCaL version: 2.1.3
% 2.65/1.23 % (2655810)Termination reason: Refutation not found, incomplete strategy
% 2.65/1.23 % (2655810)Time elapsed: 0.002 s
% 2.65/1.23 % (2655810)Peak memory usage: 88 MB
% 2.65/1.23 % (2655812)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=195494961:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.65/1.23 % (2655813)dis-21_1_sil=8000:lcm=predicate:random_seed=1488907882: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)
% 2.65/1.23 % (2655813)Refutation not found, incomplete strategy
% 2.65/1.23 % (2655813)------------------------------
% 2.65/1.23 % (2655813)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.65/1.23 % (2655813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/1.23 % (2655813)CaDiCaL version: 2.1.3
% 2.65/1.23 % (2655813)Termination reason: Refutation not found, incomplete strategy
% 2.65/1.23 % (2655813)Time elapsed: 0.002 s
% 2.65/1.23 % (2655813)Peak memory usage: 88 MB
% 2.65/1.23 % (2655813)Instructions burned: 1 (million)
% 2.65/1.23 % (2655812)Also succeeded, but the first one will report.
% 2.65/1.23 % (2655811)Refutation found. Thanks to Tanya!
% 2.65/1.23 % SZS status Theorem for theBenchmark
% 2.65/1.23 % SZS output start Proof for theBenchmark
% See solution above
% 2.65/1.23 % (2655811)------------------------------
% 2.65/1.23 % (2655811)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.65/1.23 % (2655811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/1.23 % (2655811)CaDiCaL version: 2.1.3
% 2.65/1.23 % (2655811)Termination reason: Refutation
% 2.65/1.23 % (2655811)Time elapsed: 0.002 s
% 2.65/1.23 % (2655811)Peak memory usage: 88 MB
% 2.65/1.23 % (2655811)Instructions burned: 2 (million)
% 2.65/1.23 % (2655811)------------------------------
% 2.65/1.23 % (2655811)------------------------------
% 2.65/1.23 % (2655802)Success in time 0.304 s
% 2.65/1.23 % Vampire exiting
%------------------------------------------------------------------------------