%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : HEN010-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n009.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 10:19:18 AM UTC 2026
% Result : Unsatisfiable 3.20s 1.30s
% Output : Refutation 3.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 14
% Syntax : Number of formulae : 110 ( 61 unt; 1 def)
% Number of atoms : 181 ( 38 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 146 ( 75 ~; 70 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 165 ( 0 sgn 165 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( quotient(X0,X1,zero)
| ~ less_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',quotient_less_equal) ).
fof(f2,axiom,
! [X0,X1] :
( ~ quotient(X0,X1,zero)
| less_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',less_equal_quotient) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ quotient(X0,X1,X2)
| less_equal(X2,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',divisor_existence) ).
fof(f4,axiom,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ quotient(X5,X4,X6)
| ~ quotient(X1,X3,X4)
| ~ quotient(X0,X3,X5)
| ~ quotient(X0,X1,X2)
| ~ quotient(X2,X3,X7)
| less_equal(X6,X7) ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',quotient_property) ).
fof(f5,axiom,
! [X0] : less_equal(zero,X0),
file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',zero_is_smallest) ).
fof(f6,axiom,
! [X0,X1] :
( ~ less_equal(X1,X0)
| ~ less_equal(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',less_equal_and_equal) ).
fof(f7,axiom,
! [X0] : less_equal(X0,identity),
file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',identity_is_largest) ).
fof(f8,axiom,
! [X0,X1] : quotient(X0,X1,divide(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',closure) ).
fof(f9,axiom,
! [X2,X3,X0,X1] :
( ~ quotient(X0,X1,X3)
| ~ quotient(X0,X1,X2)
| X2 = X3 ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',well_defined) ).
fof(f10,axiom,
quotient(identity,a,idQa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_divide_a) ).
fof(f11,axiom,
quotient(identity,idQa,idQ_idQa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_divide_idQa) ).
fof(f12,axiom,
quotient(idQa,idQ_idQa,idQa_Q__idQ_idQa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_divide_idQ_idQa) ).
fof(f13,negated_conjecture,
idQa != idQa_Q__idQ_idQa,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_idQa_equals_idQa_Q__idQ_idQa) ).
fof(f17,plain,
less_equal(idQa_Q__idQ_idQa,idQa),
inference(resolution,[],[f3,f12]) ).
fof(f18,plain,
! [X0,X1] : less_equal(divide(X0,X1),X0),
inference(resolution,[],[f3,f8]) ).
fof(f20,plain,
! [X0] :
( ~ less_equal(X0,zero)
| zero = X0 ),
inference(resolution,[],[f6,f5]) ).
fof(f22,plain,
( ~ less_equal(idQa,idQa_Q__idQ_idQa)
| idQa = idQa_Q__idQ_idQa ),
inference(resolution,[],[f6,f17]) ).
fof(f23,plain,
~ less_equal(idQa,idQa_Q__idQ_idQa),
inference(forward_subsumption_resolution,[],[f22,f13]) ).
fof(f24,plain,
! [X0] :
( ~ quotient(identity,a,X0)
| idQa = X0 ),
inference(resolution,[],[f9,f10]) ).
fof(f25,plain,
! [X0] :
( ~ quotient(identity,idQa,X0)
| idQ_idQa = X0 ),
inference(resolution,[],[f9,f11]) ).
fof(f26,plain,
! [X0] :
( ~ quotient(idQa,idQ_idQa,X0)
| idQa_Q__idQ_idQa = X0 ),
inference(resolution,[],[f9,f12]) ).
fof(f27,plain,
! [X2,X0,X1] :
( ~ quotient(X0,X1,X2)
| divide(X0,X1) = X2 ),
inference(resolution,[],[f9,f8]) ).
fof(f29,plain,
! [X0,X1] :
( ~ less_equal(X0,divide(X0,X1))
| divide(X0,X1) = X0 ),
inference(resolution,[],[f18,f6]) ).
fof(f33,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ quotient(X5,X1,X6)
| ~ quotient(X3,X1,X4)
| ~ quotient(X3,X0,X5)
| ~ quotient(X0,X1,X2)
| less_equal(divide(X4,X2),X6) ),
inference(resolution,[],[f4,f8]) ).
fof(f36,plain,
! [X0] : zero = divide(zero,X0),
inference(resolution,[],[f20,f18]) ).
fof(f39,plain,
! [X0] : quotient(zero,X0,zero),
inference(superposition,[],[f8,f36]) ).
fof(f41,plain,
idQa = divide(identity,a),
inference(resolution,[],[f24,f8]) ).
fof(f53,plain,
idQ_idQa = divide(identity,idQa),
inference(resolution,[],[f25,f8]) ).
fof(f56,plain,
idQ_idQa = divide(identity,divide(identity,a)),
inference(forward_demodulation,[],[f53,f41]) ).
fof(f71,plain,
idQa_Q__idQ_idQa = divide(idQa,idQ_idQa),
inference(resolution,[],[f26,f8]) ).
fof(f74,plain,
idQa_Q__idQ_idQa = divide(divide(identity,a),idQ_idQa),
inference(forward_demodulation,[],[f71,f41]) ).
fof(f85,plain,
quotient(identity,divide(identity,a),idQ_idQa),
inference(superposition,[],[f11,f41]) ).
fof(f88,plain,
~ less_equal(divide(identity,a),idQa_Q__idQ_idQa),
inference(superposition,[],[f23,f41]) ).
fof(f92,plain,
~ less_equal(divide(identity,a),divide(divide(identity,a),idQ_idQa)),
inference(forward_demodulation,[],[f88,f74]) ).
fof(f96,plain,
! [X0,X1] :
( ~ less_equal(X0,X1)
| zero = divide(X0,X1) ),
inference(resolution,[],[f27,f1]) ).
fof(f234,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ quotient(X3,X1,X5)
| ~ quotient(X0,X3,X4)
| ~ quotient(X0,X1,X2)
| less_equal(divide(X2,X5),divide(X4,X1)) ),
inference(resolution,[],[f33,f8]) ).
fof(f235,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ quotient(X3,X1,X5)
| ~ quotient(X0,X3,X4)
| ~ quotient(X0,X1,X2)
| less_equal(divide(X2,X5),zero)
| ~ less_equal(X4,X1) ),
inference(resolution,[],[f33,f1]) ).
fof(f276,plain,
! [X0] : zero = divide(X0,identity),
inference(resolution,[],[f96,f7]) ).
fof(f278,plain,
! [X0,X1] : zero = divide(divide(X0,X1),X0),
inference(resolution,[],[f96,f18]) ).
fof(f305,plain,
! [X0] : quotient(X0,identity,zero),
inference(superposition,[],[f8,f276]) ).
fof(f365,plain,
! [X2,X3,X0,X1,X4] :
( ~ quotient(X0,X3,X4)
| ~ quotient(X0,X1,X2)
| less_equal(divide(X4,divide(X1,X3)),divide(X2,X3)) ),
inference(resolution,[],[f234,f8]) ).
fof(f366,plain,
! [X2,X3,X0,X1,X4] :
( ~ quotient(X0,X3,X4)
| ~ quotient(X0,X1,X2)
| less_equal(divide(X4,zero),divide(X2,X3))
| ~ less_equal(X1,X3) ),
inference(resolution,[],[f234,f1]) ).
fof(f368,plain,
! [X2,X3,X0,X1] :
( ~ quotient(X0,zero,X1)
| ~ quotient(X0,X2,X3)
| less_equal(divide(X3,zero),divide(X1,X2)) ),
inference(resolution,[],[f234,f39]) ).
fof(f385,plain,
! [X2,X3,X0,X1,X4] :
( ~ quotient(X0,X3,X4)
| ~ quotient(X0,X1,X2)
| less_equal(divide(X4,divide(X1,X3)),zero)
| ~ less_equal(X2,X3) ),
inference(resolution,[],[f235,f8]) ).
fof(f483,plain,
! [X2,X3,X0,X1] :
( ~ quotient(X0,X1,X2)
| less_equal(divide(divide(X0,X3),divide(X1,X3)),divide(X2,X3)) ),
inference(resolution,[],[f365,f8]) ).
fof(f489,plain,
! [X0,X1] :
( ~ quotient(identity,X0,X1)
| less_equal(divide(idQ_idQa,divide(X0,divide(identity,a))),divide(X1,divide(identity,a))) ),
inference(resolution,[],[f365,f85]) ).
fof(f507,plain,
! [X2,X3,X0,X1] :
( ~ quotient(X0,X1,X2)
| less_equal(divide(divide(X0,X3),zero),divide(X2,X3))
| ~ less_equal(X1,X3) ),
inference(resolution,[],[f366,f8]) ).
fof(f530,plain,
! [X2,X3,X0,X1] :
( ~ quotient(X0,X1,X2)
| less_equal(divide(divide(X0,X3),divide(X1,X3)),zero)
| ~ less_equal(X2,X3) ),
inference(resolution,[],[f385,f8]) ).
fof(f912,definition,
( spl0_30
<=> less_equal(idQ_idQa,a) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
fof(f913,plain,
( less_equal(idQ_idQa,a)
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f912]) ).
fof(f914,plain,
( ~ less_equal(idQ_idQa,a)
| spl0_30 ),
inference(avatar_component_clause,[],[f912]) ).
fof(f991,plain,
! [X2,X0,X1] :
( ~ quotient(X0,X1,X2)
| less_equal(divide(X2,zero),divide(divide(X0,zero),X1)) ),
inference(resolution,[],[f368,f8]) ).
fof(f999,plain,
! [X2,X0,X1] : less_equal(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)),
inference(resolution,[],[f483,f8]) ).
fof(f1001,plain,
! [X0,X1] : less_equal(divide(divide(X0,X1),divide(identity,X1)),divide(zero,X1)),
inference(resolution,[],[f483,f305]) ).
fof(f1016,plain,
! [X0,X1] : less_equal(divide(divide(X0,X1),divide(identity,X1)),zero),
inference(forward_demodulation,[],[f1001,f36]) ).
fof(f1026,plain,
! [X2,X0,X1] :
( ~ less_equal(X2,X1)
| less_equal(divide(divide(X0,X1),zero),divide(divide(X0,X2),X1)) ),
inference(resolution,[],[f507,f8]) ).
fof(f1049,plain,
! [X2,X0,X1] :
( less_equal(divide(divide(X0,X1),divide(X2,X1)),zero)
| ~ less_equal(divide(X0,X2),X1) ),
inference(resolution,[],[f530,f8]) ).
fof(f1071,plain,
! [X0] : less_equal(divide(idQ_idQa,divide(X0,divide(identity,a))),divide(divide(identity,X0),divide(identity,a))),
inference(resolution,[],[f489,f8]) ).
fof(f1143,plain,
! [X0,X1] : zero = divide(divide(X0,X1),divide(identity,X1)),
inference(resolution,[],[f1016,f20]) ).
fof(f1273,plain,
! [X0,X1] : quotient(divide(X0,X1),divide(identity,X1),zero),
inference(superposition,[],[f8,f1143]) ).
fof(f1314,plain,
! [X0,X1] : less_equal(divide(X0,X1),divide(identity,X1)),
inference(resolution,[],[f1273,f2]) ).
fof(f1382,plain,
! [X0] : less_equal(divide(X0,divide(identity,a)),idQ_idQa),
inference(superposition,[],[f1314,f56]) ).
fof(f1656,plain,
! [X0,X1] : less_equal(divide(divide(X0,X1),zero),divide(divide(X0,zero),X1)),
inference(resolution,[],[f991,f8]) ).
fof(f1714,plain,
! [X2,X0,X1] :
( ~ less_equal(divide(divide(X0,X1),X2),divide(divide(X0,X2),divide(X1,X2)))
| divide(divide(X0,X1),X2) = divide(divide(X0,X2),divide(X1,X2)) ),
inference(resolution,[],[f999,f6]) ).
fof(f1727,plain,
! [X2,X0,X1] : less_equal(divide(divide(X0,X1),zero),divide(divide(X0,divide(X1,X2)),X1)),
inference(superposition,[],[f999,f278]) ).
fof(f1745,plain,
! [X0,X1] : less_equal(divide(divide(X0,X0),divide(X1,X0)),zero),
inference(superposition,[],[f999,f278]) ).
fof(f1789,plain,
! [X0] : less_equal(divide(divide(X0,X0),zero),zero),
inference(superposition,[],[f1745,f278]) ).
fof(f1834,plain,
! [X0] : zero = divide(divide(X0,X0),zero),
inference(resolution,[],[f1789,f20]) ).
fof(f1865,plain,
! [X0] : quotient(divide(X0,X0),zero,zero),
inference(superposition,[],[f8,f1834]) ).
fof(f1894,plain,
! [X0] : less_equal(divide(X0,X0),zero),
inference(resolution,[],[f1865,f2]) ).
fof(f1939,plain,
! [X0] : zero = divide(X0,X0),
inference(resolution,[],[f1894,f20]) ).
fof(f2197,plain,
! [X2,X0,X1] :
( ~ less_equal(divide(X0,X1),X2)
| zero = divide(divide(X0,X2),divide(X1,X2)) ),
inference(resolution,[],[f1049,f20]) ).
fof(f2277,plain,
less_equal(divide(idQ_idQa,divide(a,divide(identity,a))),zero),
inference(superposition,[],[f1071,f1939]) ).
fof(f2623,plain,
zero = divide(idQ_idQa,divide(a,divide(identity,a))),
inference(resolution,[],[f2277,f20]) ).
fof(f2667,plain,
quotient(idQ_idQa,divide(a,divide(identity,a)),zero),
inference(superposition,[],[f8,f2623]) ).
fof(f2718,plain,
less_equal(idQ_idQa,divide(a,divide(identity,a))),
inference(resolution,[],[f2667,f2]) ).
fof(f2763,plain,
( ~ less_equal(divide(a,divide(identity,a)),idQ_idQa)
| idQ_idQa = divide(a,divide(identity,a)) ),
inference(resolution,[],[f2718,f6]) ).
fof(f2764,plain,
idQ_idQa = divide(a,divide(identity,a)),
inference(forward_subsumption_resolution,[],[f2763,f1382]) ).
fof(f2781,plain,
less_equal(idQ_idQa,a),
inference(superposition,[],[f18,f2764]) ).
fof(f2821,plain,
( $false
| spl0_30 ),
inference(forward_subsumption_resolution,[],[f2781,f914]) ).
fof(f2822,plain,
spl0_30,
inference(avatar_contradiction_clause,[],[f2821]) ).
fof(f2825,plain,
( ! [X0] : less_equal(divide(divide(X0,a),zero),divide(divide(X0,idQ_idQa),a))
| ~ spl0_30 ),
inference(resolution,[],[f913,f1026]) ).
fof(f3779,plain,
! [X0] : less_equal(divide(divide(X0,divide(X0,zero)),zero),zero),
inference(superposition,[],[f1656,f1939]) ).
fof(f4740,plain,
! [X0] : zero = divide(divide(X0,divide(X0,zero)),zero),
inference(resolution,[],[f3779,f20]) ).
fof(f5009,plain,
! [X0] : quotient(divide(X0,divide(X0,zero)),zero,zero),
inference(superposition,[],[f8,f4740]) ).
fof(f5215,plain,
! [X0] : less_equal(divide(X0,divide(X0,zero)),zero),
inference(resolution,[],[f5009,f2]) ).
fof(f5299,plain,
! [X0] : zero = divide(X0,divide(X0,zero)),
inference(resolution,[],[f5215,f20]) ).
fof(f5420,plain,
! [X0] : quotient(X0,divide(X0,zero),zero),
inference(superposition,[],[f8,f5299]) ).
fof(f5584,plain,
! [X0] : less_equal(X0,divide(X0,zero)),
inference(resolution,[],[f5420,f2]) ).
fof(f5651,plain,
! [X0] : divide(X0,zero) = X0,
inference(resolution,[],[f5584,f29]) ).
fof(f6688,plain,
( ! [X0] : zero = divide(divide(divide(X0,a),divide(divide(X0,idQ_idQa),a)),divide(zero,divide(divide(X0,idQ_idQa),a)))
| ~ spl0_30 ),
inference(resolution,[],[f2197,f2825]) ).
fof(f6741,plain,
( ! [X0] : zero = divide(divide(divide(X0,a),divide(divide(X0,idQ_idQa),a)),zero)
| ~ spl0_30 ),
inference(forward_demodulation,[],[f6688,f36]) ).
fof(f6790,plain,
( ! [X0] : zero = divide(divide(X0,a),divide(divide(X0,idQ_idQa),a))
| ~ spl0_30 ),
inference(forward_demodulation,[],[f6741,f5651]) ).
fof(f17853,plain,
! [X0,X1] :
( ~ less_equal(divide(divide(X0,X1),X1),divide(divide(X0,X1),zero))
| divide(divide(X0,X1),zero) = divide(divide(X0,X1),X1) ),
inference(superposition,[],[f1714,f1939]) ).
fof(f17925,plain,
! [X0,X1] :
( ~ less_equal(divide(divide(X0,X1),X1),divide(X0,X1))
| divide(divide(X0,X1),zero) = divide(divide(X0,X1),X1) ),
inference(forward_demodulation,[],[f17853,f5651]) ).
fof(f18022,plain,
! [X0,X1] : divide(divide(X0,X1),zero) = divide(divide(X0,X1),X1),
inference(forward_subsumption_resolution,[],[f17925,f18]) ).
fof(f18108,plain,
! [X0,X1] : divide(X0,X1) = divide(divide(X0,X1),X1),
inference(forward_demodulation,[],[f18022,f5651]) ).
fof(f21762,plain,
( ! [X0] : less_equal(divide(divide(divide(X0,a),divide(X0,idQ_idQa)),zero),divide(zero,divide(X0,idQ_idQa)))
| ~ spl0_30 ),
inference(superposition,[],[f1727,f6790]) ).
fof(f21890,plain,
( ! [X0] : less_equal(divide(divide(divide(X0,a),divide(X0,idQ_idQa)),zero),zero)
| ~ spl0_30 ),
inference(forward_demodulation,[],[f21762,f36]) ).
fof(f21929,plain,
( ! [X0] : less_equal(divide(divide(X0,a),divide(X0,idQ_idQa)),zero)
| ~ spl0_30 ),
inference(forward_demodulation,[],[f21890,f5651]) ).
fof(f22001,plain,
( ! [X0] : zero = divide(divide(X0,a),divide(X0,idQ_idQa))
| ~ spl0_30 ),
inference(resolution,[],[f21929,f20]) ).
fof(f22179,plain,
( ! [X0] : quotient(divide(X0,a),divide(X0,idQ_idQa),zero)
| ~ spl0_30 ),
inference(superposition,[],[f8,f22001]) ).
fof(f23824,plain,
( ! [X0] : less_equal(divide(X0,a),divide(X0,idQ_idQa))
| ~ spl0_30 ),
inference(resolution,[],[f22179,f2]) ).
fof(f23929,plain,
( ! [X0] : less_equal(divide(X0,a),divide(divide(X0,a),idQ_idQa))
| ~ spl0_30 ),
inference(superposition,[],[f23824,f18108]) ).
fof(f24321,plain,
( $false
| ~ spl0_30 ),
inference(resolution,[],[f23929,f92]) ).
fof(f24348,plain,
~ spl0_30,
inference(avatar_contradiction_clause,[],[f24321]) ).
cnf(s39,plain,
spl0_30,
inference(sat_conversion,[],[f2822]) ).
cnf(s66,plain,
~ spl0_30,
inference(sat_conversion,[],[f24348]) ).
cnf(s70,plain,
$false,
inference(rat,[],[s39,s66]) ).
fof(f24380,plain,
$false,
inference(avatar_sat_refutation,[],[s70]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HEN010-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n009.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 10:51:00 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 Running first-order model finding
% 0.11/0.40 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.20/1.30 % (1856979)Will run a generic schedule for satisfiability detection.
% 3.20/1.30 % (1857007)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2097491588:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 3.20/1.30 % (1857003)% WARNING: option uhcvi not known.
% 3.20/1.30 % (1857004)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1523292556:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 3.20/1.30 % (1857005)dis+10_1_sil=32000:sp=arity:random_seed=602497080:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 3.20/1.30 % (1857003)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3026103128:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 3.20/1.30 % (1857002)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=594869780_2999 on theBenchmark for (2999ds/0Mi)
% 3.20/1.30 % (1857008)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1740101045:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 3.20/1.30 % (1857006)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3034100026:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 3.20/1.30 % TRYING [1]
% 3.20/1.30 % TRYING [2]
% 3.20/1.30 % TRYING [3]
% 3.20/1.30 % TRYING [4]
% 3.20/1.30 % TRYING [5]
% 3.20/1.30 % TRYING [6]
% 3.20/1.30 % (1857007)Instruction limit reached!
% 3.20/1.30 % (1857007)------------------------------
% 3.20/1.30 % (1857007)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.20/1.30 % (1857007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.20/1.30 % (1857007)CaDiCaL version: 2.1.3
% 3.20/1.30 % (1857007)Termination reason: Instruction limit
% 3.20/1.30 % (1857007)Termination phase: Saturation
% 3.20/1.30 % (1857007)Time elapsed: 0.066 s
% 3.20/1.30 % (1857007)Peak memory usage: 11 MB
% 3.20/1.30 % (1857007)Instructions burned: 131 (million)
% 3.20/1.30 % (1857024)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=293615445:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 3.20/1.30 % TRYING [1]
% 3.20/1.30 % TRYING [2]
% 3.20/1.30 % TRYING [3]
% 3.20/1.30 % TRYING [4]
% 3.20/1.30 % TRYING [5]
% 3.20/1.30 % (1857006)Instruction limit reached!
% 3.20/1.30 % (1857006)------------------------------
% 3.20/1.30 % (1857006)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.20/1.30 % (1857006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.20/1.30 % (1857006)CaDiCaL version: 2.1.3
% 3.20/1.30 % (1857006)Termination reason: Instruction limit
% 3.20/1.30 % (1857006)Termination phase: Saturation
% 3.20/1.30 % (1857006)Time elapsed: 0.101 s
% 3.20/1.30 % (1857006)Peak memory usage: 11 MB
% 3.20/1.30 % (1857006)Instructions burned: 117 (million)
% 3.20/1.30 % TRYING [6]
% 3.20/1.30 % TRYING [7]
% 3.20/1.30 % (1857005)Instruction limit reached!
% 3.20/1.30 % (1857005)------------------------------
% 3.20/1.30 % (1857005)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.20/1.30 % (1857005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.20/1.30 % (1857005)CaDiCaL version: 2.1.3
% 3.20/1.30 % (1857005)Termination reason: Instruction limit
% 3.20/1.30 % (1857005)Termination phase: Saturation
% 3.20/1.30 % (1857005)Time elapsed: 0.120 s
% 3.20/1.30 % (1857005)Peak memory usage: 12 MB
% 3.20/1.30 % (1857005)Instructions burned: 103 (million)
% 3.20/1.30 % (1857034)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4231031211:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 3.20/1.30 % TRYING [7]
% 3.20/1.30 % (1857036)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1606469293:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 3.20/1.30 % (1857008)Instruction limit reached!
% 3.20/1.30 % (1857008)------------------------------
% 3.20/1.30 % (1857008)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.20/1.30 % (1857008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.20/1.30 % (1857008)CaDiCaL version: 2.1.3
% 3.20/1.30 % (1857008)Termination reason: Instruction limit
% 3.20/1.30 % (1857008)Termination phase: Saturation
% 3.20/1.30 % (1857008)Time elapsed: 0.190 s
% 3.20/1.30 % (1857008)Peak memory usage: 13 MB
% 3.20/1.30 % (1857008)Instructions burned: 160 (million)
% 3.20/1.30 % (1857039)ott-21_1_sil=16000:fs=off:random_seed=343787686:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 3.20/1.30 % TRYING [8]
% 3.20/1.30 % TRYING [8]
% 3.20/1.30 % (1857034)Instruction limit reached!
% 3.20/1.30 % (1857034)------------------------------
% 3.20/1.30 % (1857034)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.20/1.30 % (1857034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.20/1.30 % (1857034)CaDiCaL version: 2.1.3
% 3.20/1.30 % (1857034)Termination reason: Instruction limit
% 3.20/1.30 % (1857034)Termination phase: Saturation
% 3.20/1.30 % (1857034)Time elapsed: 0.120 s
% 3.20/1.30 % (1857034)Peak memory usage: 11 MB
% 3.20/1.30 % (1857034)Instructions burned: 131 (million)
% 3.20/1.30 % (1857041)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3876941266:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 3.20/1.30 % (1857039)Instruction limit reached!
% 3.20/1.30 % (1857039)------------------------------
% 3.20/1.30 % (1857039)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.20/1.30 % (1857039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.20/1.30 % (1857039)CaDiCaL version: 2.1.3
% 3.20/1.30 % (1857039)Termination reason: Instruction limit
% 3.20/1.30 % (1857039)Termination phase: Saturation
% 3.20/1.30 % (1857039)Time elapsed: 0.086 s
% 3.20/1.30 % (1857039)Peak memory usage: 11 MB
% 3.20/1.30 % (1857039)Instructions burned: 181 (million)
% 3.20/1.30 % (1857024)Instruction limit reached!
% 3.20/1.30 % (1857024)------------------------------
% 3.20/1.30 % (1857024)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.20/1.30 % (1857024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.20/1.30 % (1857024)CaDiCaL version: 2.1.3
% 3.20/1.30 % (1857024)Termination reason: Instruction limit
% 3.20/1.30 % (1857024)Termination phase: Finite model building constraint generation
% 3.20/1.30 % (1857024)Time elapsed: 0.237 s
% 3.20/1.30 % (1857024)Peak memory usage: 27 MB
% 3.20/1.30 % (1857024)Instructions burned: 716 (million)
% 3.20/1.30 % (1857043)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=814274813:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 3.20/1.30 % TRYING [1]
% 3.20/1.30 % TRYING [2]
% 3.20/1.30 % TRYING [3]
% 3.20/1.30 % TRYING [4]
% 3.20/1.30 % (1857044)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1068121340:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 3.20/1.30 % TRYING [5]
% 3.20/1.30 % TRYING [9]
% 3.20/1.30 % TRYING [6]
% 3.20/1.30 % TRYING [7]
% 3.20/1.30 % TRYING [8]
% 3.20/1.30 % (1857041)Instruction limit reached!
% 3.20/1.30 % (1857041)------------------------------
% 3.20/1.30 % (1857041)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.20/1.30 % (1857041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.20/1.30 % (1857041)CaDiCaL version: 2.1.3
% 3.20/1.30 % (1857041)Termination reason: Instruction limit
% 3.20/1.30 % (1857041)Termination phase: Saturation
% 3.20/1.30 % (1857041)Time elapsed: 0.323 s
% 3.20/1.30 % (1857041)Peak memory usage: 13 MB
% 3.20/1.30 % (1857041)Instructions burned: 477 (million)
% 3.20/1.30 % (1857047)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1818002356:i=889:ins=1_2993 on theBenchmark for (2993ds/889Mi)
% 3.20/1.30 % (1857043)Instruction limit reached!
% 3.20/1.30 % (1857043)------------------------------
% 3.20/1.30 % (1857043)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.20/1.30 % (1857043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.20/1.30 % (1857043)CaDiCaL version: 2.1.3
% 3.20/1.30 % (1857043)Termination reason: Instruction limit
% 3.20/1.30 % (1857043)Termination phase: Finite model building constraint generation
% 3.20/1.30 % (1857043)Time elapsed: 0.315 s
% 3.20/1.30 % (1857043)Peak memory usage: 23 MB
% 3.20/1.30 % (1857043)Instructions burned: 867 (million)
% 3.20/1.30 % (1857049)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1424578930:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2992 on theBenchmark for (2992ds/692Mi)
% 3.20/1.30 % TRYING [10]
% 3.20/1.30 % TRYING [14]
% 3.20/1.30 % (1857036)Instruction limit reached!
% 3.20/1.30 % (1857036)------------------------------
% 3.20/1.30 % (1857036)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.20/1.30 % (1857036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.20/1.30 % (1857036)CaDiCaL version: 2.1.3
% 3.20/1.30 % (1857036)Termination reason: Instruction limit
% 3.20/1.30 % (1857036)Termination phase: Saturation
% 3.20/1.30 % (1857036)Time elapsed: 0.622 s
% 3.20/1.30 % (1857036)Peak memory usage: 16 MB
% 3.20/1.30 % (1857036)Instructions burned: 684 (million)
% 3.20/1.30 % (1857054)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2718680907:i=879:kws=inv_precedence:fsr=off_2991 on theBenchmark for (2991ds/879Mi)
% 3.20/1.30 % (1857044) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1856979-1857044"...
% 3.20/1.30 % (1857044)...printing done.
% 3.20/1.30 % (1857044)Refutation found. Thanks to Tanya!
% 3.20/1.30 % SZS status Unsatisfiable for theBenchmark
% 3.20/1.30 % SZS output start Proof for theBenchmark
% See solution above
% 3.20/1.31 % (1857044)------------------------------
% 3.20/1.31 % (1857044)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.20/1.31 % (1857044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.20/1.31 % (1857044)CaDiCaL version: 2.1.3
% 3.20/1.31 % (1857044)Termination reason: Refutation
% 3.20/1.31 % (1857044)Time elapsed: 0.482 s
% 3.20/1.31 % (1857044)Peak memory usage: 17 MB
% 3.20/1.31 % (1857044)Instructions burned: 758 (million)
% 3.20/1.31 % (1856979)Success in time 0.894 s
% 3.20/1.31 % Vampire exiting
%------------------------------------------------------------------------------