%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KRS174+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 : n014.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 11:41:50 AM UTC 2026
% Result : Theorem 2.11s 1.15s
% Output : Refutation 2.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 6
% Syntax : Number of formulae : 83 ( 13 unt; 0 def)
% Number of atoms : 317 ( 25 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 412 ( 178 ~; 196 |; 26 &)
% ( 10 <=>; 0 =>; 0 <=; 2 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 43 ( 34 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
fof(f9,axiom,
! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f10,axiom,
! [X0] :
( cA(X0)
<=> X0 = ia ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f11,axiom,
! [X0] :
( cA_and_B(X0)
<=> ( X0 = ib
| X0 = ia ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f12,axiom,
! [X0] :
( cB(X0)
<=> X0 = ib ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f15,conjecture,
( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( cA_and_B(X0)
<=> ( cB(X0)
| cA(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
fof(f16,negated_conjecture,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( cA_and_B(X0)
<=> ( cB(X0)
| cA(X0) ) ) ),
inference(negated_conjecture,[status(cth)],[f15]) ).
fof(f17,plain,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X2] :
( cA_and_B(X2)
<=> ( cB(X2)
| cA(X2) ) ) ),
inference(rectify,[],[f16]) ).
fof(f18,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( xsd_string(X1)
<~> ~ xsd_integer(X1) )
| ? [X2] :
( cA_and_B(X2)
<~> ( cB(X2)
| cA(X2) ) ) ),
inference(ennf_transformation,[],[f17]) ).
fof(f33,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( ( xsd_integer(X1)
| ~ xsd_string(X1) )
& ( ~ xsd_integer(X1)
| xsd_string(X1) ) )
| ? [X2] :
( ( ( ~ cB(X2)
& ~ cA(X2) )
| ~ cA_and_B(X2) )
& ( cB(X2)
| cA(X2)
| cA_and_B(X2) ) ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f34,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( ( xsd_integer(X1)
| ~ xsd_string(X1) )
& ( ~ xsd_integer(X1)
| xsd_string(X1) ) )
| ? [X2] :
( ( ( ~ cB(X2)
& ~ cA(X2) )
| ~ cA_and_B(X2) )
& ( cB(X2)
| cA(X2)
| cA_and_B(X2) ) ) ),
inference(flattening,[],[f33]) ).
fof(f35,plain,
( ~ cowlThing(sK0)
| cowlNothing(sK0)
| ( ( xsd_integer(sK1)
| ~ xsd_string(sK1) )
& ( ~ xsd_integer(sK1)
| xsd_string(sK1) ) )
| ( ( ( ~ cB(sK2)
& ~ cA(sK2) )
| ~ cA_and_B(sK2) )
& ( cB(sK2)
| cA(sK2)
| cA_and_B(sK2) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f34]) ).
fof(f36,plain,
! [X0] :
( ( cA(X0)
| ia != X0 )
& ( X0 = ia
| ~ cA(X0) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f37,plain,
! [X0] :
( ( cA_and_B(X0)
| ( ib != X0
& ia != X0 ) )
& ( X0 = ib
| X0 = ia
| ~ cA_and_B(X0) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f38,plain,
! [X0] :
( ( cA_and_B(X0)
| ( ib != X0
& ia != X0 ) )
& ( X0 = ib
| X0 = ia
| ~ cA_and_B(X0) ) ),
inference(flattening,[],[f37]) ).
fof(f39,plain,
! [X0] :
( ( cB(X0)
| ib != X0 )
& ( X0 = ib
| ~ cB(X0) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f40,plain,
! [X0] :
( ( xsd_string(X0)
| xsd_integer(X0) )
& ( ~ xsd_integer(X0)
| ~ xsd_string(X0) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f41,plain,
( xsd_string(sK1)
| cowlNothing(sK0)
| ~ xsd_integer(sK1)
| ~ cowlThing(sK0)
| cB(sK2)
| cA(sK2)
| cA_and_B(sK2) ),
inference(cnf_transformation,[],[f35]) ).
fof(f42,plain,
( xsd_string(sK1)
| cowlNothing(sK0)
| ~ xsd_integer(sK1)
| ~ cowlThing(sK0)
| ~ cA(sK2)
| ~ cA_and_B(sK2) ),
inference(cnf_transformation,[],[f35]) ).
fof(f43,plain,
( xsd_string(sK1)
| cowlNothing(sK0)
| ~ xsd_integer(sK1)
| ~ cowlThing(sK0)
| ~ cB(sK2)
| ~ cA_and_B(sK2) ),
inference(cnf_transformation,[],[f35]) ).
fof(f44,plain,
( xsd_integer(sK1)
| cowlNothing(sK0)
| ~ cowlThing(sK0)
| ~ xsd_string(sK1)
| cB(sK2)
| cA(sK2)
| cA_and_B(sK2) ),
inference(cnf_transformation,[],[f35]) ).
fof(f45,plain,
( xsd_integer(sK1)
| cowlNothing(sK0)
| ~ cowlThing(sK0)
| ~ xsd_string(sK1)
| ~ cA(sK2)
| ~ cA_and_B(sK2) ),
inference(cnf_transformation,[],[f35]) ).
fof(f46,plain,
( xsd_integer(sK1)
| cowlNothing(sK0)
| ~ cowlThing(sK0)
| ~ xsd_string(sK1)
| ~ cB(sK2)
| ~ cA_and_B(sK2) ),
inference(cnf_transformation,[],[f35]) ).
fof(f47,plain,
! [X0] :
( ia = X0
| ~ cA(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f48,plain,
! [X0] :
( cA(X0)
| ia != X0 ),
inference(cnf_transformation,[],[f36]) ).
fof(f50,plain,
! [X0] :
( ib = X0
| ia = X0
| ~ cA_and_B(X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f51,plain,
! [X0] :
( cA_and_B(X0)
| ia != X0 ),
inference(cnf_transformation,[],[f38]) ).
fof(f52,plain,
! [X0] :
( cA_and_B(X0)
| ib != X0 ),
inference(cnf_transformation,[],[f38]) ).
fof(f54,plain,
! [X0] :
( ib = X0
| ~ cB(X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f55,plain,
! [X0] :
( cB(X0)
| ib != X0 ),
inference(cnf_transformation,[],[f39]) ).
fof(f57,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f8]) ).
fof(f58,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f8]) ).
fof(f61,plain,
! [X0] :
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f62,plain,
! [X0] :
( xsd_string(X0)
| xsd_integer(X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f67,plain,
cA(ia),
inference(equality_resolution,[],[f48]) ).
fof(f69,plain,
cA_and_B(ib),
inference(equality_resolution,[],[f52]) ).
fof(f70,plain,
cA_and_B(ia),
inference(equality_resolution,[],[f51]) ).
fof(f72,plain,
cB(ib),
inference(equality_resolution,[],[f55]) ).
fof(f78,plain,
( ~ xsd_integer(sK1)
| cowlNothing(sK0)
| ~ xsd_integer(sK1)
| ~ cowlThing(sK0)
| cB(sK2)
| cA(sK2)
| cA_and_B(sK2) ),
inference(resolution,[],[f61,f41]) ).
fof(f79,plain,
( ~ xsd_integer(sK1)
| cowlNothing(sK0)
| ~ xsd_integer(sK1)
| ~ cowlThing(sK0)
| ~ cB(sK2)
| ~ cA_and_B(sK2) ),
inference(resolution,[],[f61,f43]) ).
fof(f80,plain,
( ~ xsd_integer(sK1)
| cowlNothing(sK0)
| ~ xsd_integer(sK1)
| ~ cowlThing(sK0)
| ~ cA(sK2)
| ~ cA_and_B(sK2) ),
inference(resolution,[],[f61,f42]) ).
fof(f81,plain,
( ~ xsd_integer(sK1)
| cowlNothing(sK0)
| ~ cowlThing(sK0)
| ~ cA(sK2)
| ~ cA_and_B(sK2) ),
inference(duplicate_literal_removal,[],[f80]) ).
fof(f82,plain,
( ~ xsd_integer(sK1)
| cowlNothing(sK0)
| ~ cowlThing(sK0)
| ~ cB(sK2)
| ~ cA_and_B(sK2) ),
inference(duplicate_literal_removal,[],[f79]) ).
fof(f83,plain,
( ~ xsd_integer(sK1)
| cowlNothing(sK0)
| ~ cowlThing(sK0)
| cB(sK2)
| cA(sK2)
| cA_and_B(sK2) ),
inference(duplicate_literal_removal,[],[f78]) ).
fof(f84,plain,
( ~ xsd_integer(sK1)
| ~ cowlThing(sK0)
| ~ cA(sK2)
| ~ cA_and_B(sK2) ),
inference(forward_subsumption_resolution,[],[f81,f57]) ).
fof(f85,plain,
( ~ xsd_integer(sK1)
| ~ cowlThing(sK0)
| ~ cB(sK2)
| ~ cA_and_B(sK2) ),
inference(forward_subsumption_resolution,[],[f82,f57]) ).
fof(f86,plain,
( ~ xsd_integer(sK1)
| ~ cowlThing(sK0)
| cB(sK2)
| cA(sK2)
| cA_and_B(sK2) ),
inference(forward_subsumption_resolution,[],[f83,f57]) ).
fof(f87,plain,
( ~ xsd_integer(sK1)
| ~ cA(sK2)
| ~ cA_and_B(sK2) ),
inference(forward_subsumption_resolution,[],[f84,f58]) ).
fof(f88,plain,
( ~ xsd_integer(sK1)
| ~ cB(sK2)
| ~ cA_and_B(sK2) ),
inference(forward_subsumption_resolution,[],[f85,f58]) ).
fof(f89,plain,
( cB(sK2)
| ~ xsd_integer(sK1)
| cA(sK2)
| cA_and_B(sK2) ),
inference(forward_subsumption_resolution,[],[f86,f58]) ).
fof(f92,plain,
( ~ cA(sK2)
| ~ cA_and_B(sK2)
| cowlNothing(sK0)
| ~ cowlThing(sK0)
| ~ xsd_string(sK1)
| ~ cA(sK2)
| ~ cA_and_B(sK2) ),
inference(resolution,[],[f87,f45]) ).
fof(f93,plain,
( ~ cA(sK2)
| ~ cA_and_B(sK2)
| cowlNothing(sK0)
| ~ cowlThing(sK0)
| ~ xsd_string(sK1) ),
inference(duplicate_literal_removal,[],[f92]) ).
fof(f95,plain,
( ~ cA(sK2)
| ~ cA_and_B(sK2)
| ~ cowlThing(sK0)
| ~ xsd_string(sK1) ),
inference(forward_subsumption_resolution,[],[f93,f57]) ).
fof(f97,plain,
( ~ xsd_string(sK1)
| ~ cA_and_B(sK2)
| ~ cA(sK2) ),
inference(forward_subsumption_resolution,[],[f95,f58]) ).
fof(f101,plain,
( ~ cB(sK2)
| ~ cA_and_B(sK2)
| cowlNothing(sK0)
| ~ cowlThing(sK0)
| ~ xsd_string(sK1)
| ~ cB(sK2)
| ~ cA_and_B(sK2) ),
inference(resolution,[],[f88,f46]) ).
fof(f104,plain,
( ~ cB(sK2)
| ~ cA_and_B(sK2)
| cowlNothing(sK0)
| ~ cowlThing(sK0)
| ~ xsd_string(sK1) ),
inference(duplicate_literal_removal,[],[f101]) ).
fof(f106,plain,
( ~ cB(sK2)
| ~ cA_and_B(sK2)
| ~ cowlThing(sK0)
| ~ xsd_string(sK1) ),
inference(forward_subsumption_resolution,[],[f104,f57]) ).
fof(f108,plain,
( ~ xsd_string(sK1)
| ~ cA_and_B(sK2)
| ~ cB(sK2) ),
inference(forward_subsumption_resolution,[],[f106,f58]) ).
fof(f110,plain,
! [X0] :
( cA_and_B(X0)
| ~ cA(X0) ),
inference(superposition,[],[f70,f47]) ).
fof(f115,plain,
( ~ cA_and_B(sK2)
| ~ cA(sK2)
| xsd_integer(sK1) ),
inference(resolution,[],[f97,f62]) ).
fof(f118,plain,
( ~ cA_and_B(sK2)
| ~ cA(sK2) ),
inference(forward_subsumption_resolution,[],[f115,f87]) ).
fof(f121,plain,
! [X0] :
( cA_and_B(X0)
| ~ cB(X0) ),
inference(superposition,[],[f69,f54]) ).
fof(f125,plain,
( ~ cA_and_B(sK2)
| ~ cB(sK2)
| xsd_integer(sK1) ),
inference(resolution,[],[f108,f62]) ).
fof(f128,plain,
( ~ cB(sK2)
| ~ cA_and_B(sK2) ),
inference(forward_subsumption_resolution,[],[f125,f88]) ).
fof(f132,plain,
! [X0] :
( ia = X0
| cB(X0)
| ~ cA_and_B(X0) ),
inference(superposition,[],[f72,f50]) ).
fof(f136,plain,
( ~ cA(sK2)
| ~ cA(sK2) ),
inference(resolution,[],[f110,f118]) ).
fof(f137,plain,
~ cA(sK2),
inference(duplicate_literal_removal,[],[f136]) ).
fof(f143,plain,
! [X0] :
( cB(X0)
| cA(X0)
| ~ cA_and_B(X0) ),
inference(superposition,[],[f67,f132]) ).
fof(f144,plain,
( cA(sK2)
| ~ cA_and_B(sK2)
| ~ cA_and_B(sK2) ),
inference(resolution,[],[f143,f128]) ).
fof(f145,plain,
( cA(sK2)
| ~ cA_and_B(sK2) ),
inference(duplicate_literal_removal,[],[f144]) ).
fof(f146,plain,
~ cA_and_B(sK2),
inference(forward_subsumption_resolution,[],[f145,f137]) ).
fof(f147,plain,
~ cB(sK2),
inference(resolution,[],[f146,f121]) ).
fof(f151,plain,
( ~ xsd_integer(sK1)
| cA(sK2)
| cA_and_B(sK2) ),
inference(resolution,[],[f147,f89]) ).
fof(f153,plain,
( ~ xsd_integer(sK1)
| cA_and_B(sK2) ),
inference(forward_subsumption_resolution,[],[f151,f110]) ).
fof(f154,plain,
~ xsd_integer(sK1),
inference(forward_subsumption_resolution,[],[f153,f146]) ).
fof(f165,plain,
( cowlNothing(sK0)
| ~ cowlThing(sK0)
| ~ xsd_string(sK1)
| cB(sK2)
| cA(sK2)
| cA_and_B(sK2) ),
inference(resolution,[],[f154,f44]) ).
fof(f168,plain,
( cowlNothing(sK0)
| ~ cowlThing(sK0)
| ~ xsd_string(sK1)
| cB(sK2)
| cA(sK2) ),
inference(forward_subsumption_resolution,[],[f165,f143]) ).
fof(f169,plain,
( ~ cowlThing(sK0)
| ~ xsd_string(sK1)
| cB(sK2)
| cA(sK2) ),
inference(forward_subsumption_resolution,[],[f168,f57]) ).
fof(f170,plain,
( ~ xsd_string(sK1)
| cB(sK2)
| cA(sK2) ),
inference(forward_subsumption_resolution,[],[f169,f58]) ).
fof(f171,plain,
( ~ xsd_string(sK1)
| cA(sK2) ),
inference(forward_subsumption_resolution,[],[f170,f147]) ).
fof(f172,plain,
~ xsd_string(sK1),
inference(forward_subsumption_resolution,[],[f171,f137]) ).
fof(f176,plain,
xsd_integer(sK1),
inference(resolution,[],[f172,f62]) ).
fof(f177,plain,
$false,
inference(forward_subsumption_resolution,[],[f176,f154]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS174+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 : n014.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 13:33:46 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
% 2.11/1.15 % (820600)Detected formulas, will run a generic FOF schedule.
% 2.11/1.15 % (820609)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=787585735:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.11/1.15 % (820609)First to succeed.
% 2.11/1.15 % (820609)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-820600"
% 2.11/1.15 % (820611)dis-21_1_sil=8000:lcm=predicate:random_seed=470614850: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)
% 2.11/1.15 % (820605)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=1867425790:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.11/1.15 % (820608)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=480200656:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.11/1.15 % (820606)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=2057631049:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.11/1.15 % (820607)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=1799186678:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.11/1.15 % (820610)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2817378329:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.11/1.15 % (820608)Refutation not found, incomplete strategy
% 2.11/1.15 % (820608)------------------------------
% 2.11/1.15 % (820608)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.11/1.15 % (820611)Refutation not found, incomplete strategy
% 2.11/1.15 % (820611)------------------------------
% 2.11/1.15 % (820611)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.11/1.15 % (820611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.11/1.15 % (820611)CaDiCaL version: 2.1.3
% 2.11/1.15 % (820608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.11/1.15 % (820608)CaDiCaL version: 2.1.3
% 2.11/1.15 % (820611)Termination reason: Refutation not found, incomplete strategy
% 2.11/1.15 % (820611)Time elapsed: 0.002 s
% 2.11/1.15 % (820611)Peak memory usage: 88 MB
% 2.11/1.15 % (820608)Termination reason: Refutation not found, incomplete strategy
% 2.11/1.15 % (820608)Time elapsed: 0.002 s
% 2.11/1.15 % (820608)Peak memory usage: 88 MB
% 2.11/1.15 % (820611)Instructions burned: 1 (million)
% 2.11/1.15 % (820608)Instructions burned: 2 (million)
% 2.11/1.15 % (820610)Also succeeded, but the first one will report.
% 2.11/1.15 % (820609)Refutation found. Thanks to Tanya!
% 2.11/1.15 % SZS status Theorem for theBenchmark
% 2.11/1.15 % SZS output start Proof for theBenchmark
% See solution above
% 2.66/1.35 % (820609)------------------------------
% 2.66/1.35 % (820609)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.35 % (820609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.35 % (820609)CaDiCaL version: 2.1.3
% 2.66/1.35 % (820609)Termination reason: Refutation
% 2.66/1.35 % (820609)Time elapsed: 0.003 s
% 2.66/1.35 % (820609)Peak memory usage: 88 MB
% 2.66/1.35 % (820609)Instructions burned: 5 (million)
% 2.66/1.35 % (820609)------------------------------
% 2.66/1.35 % (820609)------------------------------
% 2.66/1.35 % (820600)Success in time 0.291 s
% 2.66/1.35 % Vampire exiting
%------------------------------------------------------------------------------