%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : HEN011-3 : 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 : 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 10:19:19 AM UTC 2026
% Result : Unsatisfiable 10.74s 4.09s
% Output : Refutation 10.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 12
% Syntax : Number of formulae : 133 ( 104 unt; 0 def)
% Number of atoms : 163 ( 82 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 62 ( 32 ~; 30 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 136 ( 136 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ less_equal(X0,X1)
| divide(X0,X1) = zero ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN002-0.ax',quotient_less_equal1) ).
fof(f2,axiom,
! [X0,X1] :
( divide(X0,X1) != zero
| less_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN002-0.ax',quotient_less_equal2) ).
fof(f3,axiom,
! [X0,X1] : less_equal(divide(X0,X1),X0),
file('/export/starexec/sandbox/benchmark/Axioms/HEN002-0.ax',quotient_smaller_than_numerator) ).
fof(f4,axiom,
! [X2,X0,X1] : less_equal(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)),
file('/export/starexec/sandbox/benchmark/Axioms/HEN002-0.ax',quotient_property) ).
fof(f5,axiom,
! [X0] : less_equal(zero,X0),
file('/export/starexec/sandbox/benchmark/Axioms/HEN002-0.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/HEN002-0.ax',less_equal_and_equal) ).
fof(f7,axiom,
! [X0] : less_equal(X0,identity),
file('/export/starexec/sandbox/benchmark/Axioms/HEN002-0.ax',identity_is_largest) ).
fof(f9,axiom,
divide(identity,a) = c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_divide_a) ).
fof(f10,axiom,
divide(identity,b) = d,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_divide_b) ).
fof(f11,axiom,
divide(identity,c) = e,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_divide_c) ).
fof(f12,axiom,
divide(identity,d) = g,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_divide_d) ).
fof(f13,negated_conjecture,
divide(c,g) != divide(d,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_commutativity) ).
fof(f32,plain,
! [X0] : zero = divide(zero,X0),
inference(resolution,[],[f1,f5]) ).
fof(f33,plain,
! [X0] : zero = divide(X0,identity),
inference(resolution,[],[f1,f7]) ).
fof(f34,plain,
! [X0,X1] : zero = divide(divide(X0,X1),X0),
inference(resolution,[],[f1,f3]) ).
fof(f225,plain,
! [X0,X1] :
( ~ less_equal(X0,divide(X0,X1))
| divide(X0,X1) = X0 ),
inference(resolution,[],[f6,f3]) ).
fof(f226,plain,
! [X0] :
( ~ less_equal(X0,zero)
| zero = X0 ),
inference(resolution,[],[f6,f5]) ).
fof(f1004,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,[],[f4,f6]) ).
fof(f1005,plain,
! [X2,X0,X1] : zero = divide(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)),
inference(resolution,[],[f4,f1]) ).
fof(f1010,plain,
! [X0] : less_equal(divide(c,divide(X0,a)),divide(divide(identity,X0),a)),
inference(superposition,[],[f4,f9]) ).
fof(f1012,plain,
! [X0] : less_equal(divide(d,divide(X0,b)),divide(divide(identity,X0),b)),
inference(superposition,[],[f4,f10]) ).
fof(f1017,plain,
! [X0,X1] : less_equal(divide(divide(X0,X1),zero),divide(divide(X0,zero),X1)),
inference(superposition,[],[f4,f32]) ).
fof(f1019,plain,
! [X0] : less_equal(divide(divide(X0,a),c),divide(divide(X0,identity),a)),
inference(superposition,[],[f4,f9]) ).
fof(f1021,plain,
! [X0] : less_equal(divide(divide(X0,b),d),divide(divide(X0,identity),b)),
inference(superposition,[],[f4,f10]) ).
fof(f1022,plain,
! [X0] : less_equal(divide(divide(X0,c),e),divide(divide(X0,identity),c)),
inference(superposition,[],[f4,f11]) ).
fof(f1023,plain,
! [X0] : less_equal(divide(divide(X0,d),g),divide(divide(X0,identity),d)),
inference(superposition,[],[f4,f12]) ).
fof(f1026,plain,
! [X2,X0,X1] : less_equal(divide(divide(divide(X0,X1),X2),divide(X0,X2)),divide(zero,X2)),
inference(superposition,[],[f4,f34]) ).
fof(f1034,plain,
! [X0,X1] : less_equal(divide(divide(X0,X0),divide(X1,X0)),zero),
inference(superposition,[],[f4,f34]) ).
fof(f1041,plain,
! [X2,X0,X1] : less_equal(divide(divide(divide(X0,X1),X2),divide(X0,X2)),zero),
inference(forward_demodulation,[],[f1026,f32]) ).
fof(f1044,plain,
! [X0] : less_equal(divide(divide(X0,c),e),divide(zero,c)),
inference(forward_demodulation,[],[f1022,f33]) ).
fof(f1047,plain,
! [X0] : less_equal(divide(divide(X0,a),c),divide(zero,a)),
inference(forward_demodulation,[],[f1019,f33]) ).
fof(f1061,plain,
! [X0] : less_equal(divide(divide(X0,c),e),zero),
inference(forward_demodulation,[],[f1044,f32]) ).
fof(f1064,plain,
! [X0] : less_equal(divide(divide(X0,a),c),zero),
inference(forward_demodulation,[],[f1047,f32]) ).
fof(f1077,plain,
! [X0] : zero = divide(divide(X0,c),e),
inference(resolution,[],[f1061,f226]) ).
fof(f1102,plain,
! [X0] : zero = divide(divide(X0,a),c),
inference(resolution,[],[f1064,f226]) ).
fof(f1159,plain,
! [X0] :
( zero != zero
| less_equal(divide(X0,c),e) ),
inference(superposition,[],[f2,f1077]) ).
fof(f1166,plain,
! [X0] : less_equal(divide(X0,c),e),
inference(trivial_inequality_removal,[],[f1159]) ).
fof(f1179,plain,
! [X0] : less_equal(divide(divide(X0,c),divide(a,c)),zero),
inference(superposition,[],[f4,f1102]) ).
fof(f1279,plain,
! [X0] : less_equal(divide(divide(X0,d),g),divide(zero,d)),
inference(forward_demodulation,[],[f1023,f33]) ).
fof(f1280,plain,
! [X0] : less_equal(divide(divide(X0,b),d),divide(zero,b)),
inference(forward_demodulation,[],[f1021,f33]) ).
fof(f1281,plain,
! [X0] : less_equal(divide(divide(X0,d),g),zero),
inference(forward_demodulation,[],[f1279,f32]) ).
fof(f1282,plain,
! [X0] : less_equal(divide(divide(X0,b),d),zero),
inference(forward_demodulation,[],[f1280,f32]) ).
fof(f1283,plain,
! [X0] : zero = divide(divide(X0,d),g),
inference(resolution,[],[f1281,f226]) ).
fof(f1308,plain,
! [X0] : zero = divide(divide(X0,b),d),
inference(resolution,[],[f1282,f226]) ).
fof(f1342,plain,
less_equal(divide(c,divide(d,a)),divide(g,a)),
inference(superposition,[],[f1010,f12]) ).
fof(f1354,plain,
! [X0] :
( zero != zero
| less_equal(divide(X0,d),g) ),
inference(superposition,[],[f2,f1283]) ).
fof(f1361,plain,
! [X0] : less_equal(divide(X0,d),g),
inference(trivial_inequality_removal,[],[f1354]) ).
fof(f1374,plain,
! [X0] : less_equal(divide(divide(X0,d),divide(b,d)),zero),
inference(superposition,[],[f4,f1308]) ).
fof(f1400,plain,
less_equal(divide(d,divide(c,b)),divide(e,b)),
inference(superposition,[],[f1012,f11]) ).
fof(f1422,plain,
zero = divide(divide(c,divide(d,a)),divide(g,a)),
inference(resolution,[],[f1342,f1]) ).
fof(f1430,plain,
zero = divide(divide(d,divide(c,b)),divide(e,b)),
inference(resolution,[],[f1400,f1]) ).
fof(f1443,plain,
! [X0] : less_equal(divide(divide(X0,X0),zero),zero),
inference(superposition,[],[f1034,f34]) ).
fof(f1478,plain,
less_equal(divide(e,divide(a,c)),zero),
inference(superposition,[],[f1179,f11]) ).
fof(f1482,plain,
zero = divide(e,divide(a,c)),
inference(resolution,[],[f1478,f226]) ).
fof(f1508,plain,
! [X0] : zero = divide(divide(X0,X0),zero),
inference(resolution,[],[f1443,f226]) ).
fof(f1521,plain,
( zero != zero
| less_equal(e,divide(a,c)) ),
inference(superposition,[],[f2,f1482]) ).
fof(f1529,plain,
less_equal(e,divide(a,c)),
inference(trivial_inequality_removal,[],[f1521]) ).
fof(f1532,plain,
( ~ less_equal(divide(a,c),e)
| e = divide(a,c) ),
inference(resolution,[],[f1529,f6]) ).
fof(f1534,plain,
e = divide(a,c),
inference(forward_subsumption_resolution,[],[f1532,f1166]) ).
fof(f1549,plain,
zero = divide(e,a),
inference(superposition,[],[f34,f1534]) ).
fof(f1691,plain,
! [X0] :
( zero != zero
| less_equal(divide(X0,X0),zero) ),
inference(superposition,[],[f2,f1508]) ).
fof(f1699,plain,
! [X0] : less_equal(divide(X0,X0),zero),
inference(trivial_inequality_removal,[],[f1691]) ).
fof(f1718,plain,
! [X0] : zero = divide(X0,X0),
inference(resolution,[],[f1699,f226]) ).
fof(f1845,plain,
less_equal(divide(g,divide(b,d)),zero),
inference(superposition,[],[f1374,f12]) ).
fof(f1850,plain,
zero = divide(g,divide(b,d)),
inference(resolution,[],[f1845,f226]) ).
fof(f1855,plain,
( zero != zero
| less_equal(g,divide(b,d)) ),
inference(superposition,[],[f2,f1850]) ).
fof(f1863,plain,
less_equal(g,divide(b,d)),
inference(trivial_inequality_removal,[],[f1855]) ).
fof(f1866,plain,
( ~ less_equal(divide(b,d),g)
| g = divide(b,d) ),
inference(resolution,[],[f1863,f6]) ).
fof(f1868,plain,
g = divide(b,d),
inference(forward_subsumption_resolution,[],[f1866,f1361]) ).
fof(f1882,plain,
zero = divide(g,b),
inference(superposition,[],[f34,f1868]) ).
fof(f4148,plain,
! [X0] : less_equal(divide(divide(X0,divide(X0,zero)),zero),zero),
inference(superposition,[],[f1017,f1718]) ).
fof(f4486,plain,
! [X0] : zero = divide(divide(X0,divide(X0,zero)),zero),
inference(resolution,[],[f4148,f226]) ).
fof(f4524,plain,
! [X0] :
( zero != zero
| less_equal(divide(X0,divide(X0,zero)),zero) ),
inference(superposition,[],[f2,f4486]) ).
fof(f4536,plain,
! [X0] : less_equal(divide(X0,divide(X0,zero)),zero),
inference(trivial_inequality_removal,[],[f4524]) ).
fof(f4647,plain,
! [X0] : zero = divide(X0,divide(X0,zero)),
inference(resolution,[],[f4536,f226]) ).
fof(f4678,plain,
! [X0] :
( zero != zero
| less_equal(X0,divide(X0,zero)) ),
inference(superposition,[],[f2,f4647]) ).
fof(f4725,plain,
! [X0] : less_equal(X0,divide(X0,zero)),
inference(trivial_inequality_removal,[],[f4678]) ).
fof(f4745,plain,
! [X0] : divide(X0,zero) = X0,
inference(resolution,[],[f4725,f225]) ).
fof(f5633,plain,
! [X2,X0,X1] : less_equal(divide(divide(divide(divide(X0,X1),X2),X0),zero),zero),
inference(superposition,[],[f1041,f34]) ).
fof(f5729,plain,
! [X2,X0,X1] : less_equal(divide(divide(divide(X0,X1),X2),X0),zero),
inference(forward_demodulation,[],[f5633,f4745]) ).
fof(f6118,plain,
! [X2,X0,X1] : zero = divide(divide(divide(X0,X1),X2),X0),
inference(resolution,[],[f5729,f226]) ).
fof(f6578,plain,
! [X2,X0,X1] :
( zero != zero
| less_equal(divide(divide(X0,X1),X2),X0) ),
inference(superposition,[],[f2,f6118]) ).
fof(f6647,plain,
! [X2,X0,X1] : less_equal(divide(divide(X0,X1),X2),X0),
inference(trivial_inequality_removal,[],[f6578]) ).
fof(f8328,plain,
! [X2,X0,X1] : zero = divide(divide(divide(divide(X0,X1),X2),divide(X0,X2)),divide(zero,X2)),
inference(superposition,[],[f1005,f34]) ).
fof(f8338,plain,
! [X0,X1] : zero = divide(divide(divide(divide(X0,b),X1),divide(d,X1)),divide(zero,X1)),
inference(superposition,[],[f1005,f1308]) ).
fof(f8529,plain,
! [X0,X1] : zero = divide(divide(divide(divide(X0,b),X1),divide(d,X1)),zero),
inference(forward_demodulation,[],[f8338,f32]) ).
fof(f8539,plain,
! [X2,X0,X1] : zero = divide(divide(divide(divide(X0,X1),X2),divide(X0,X2)),zero),
inference(forward_demodulation,[],[f8328,f32]) ).
fof(f8726,plain,
! [X0,X1] : zero = divide(divide(divide(X0,b),X1),divide(d,X1)),
inference(forward_demodulation,[],[f8529,f4745]) ).
fof(f8736,plain,
! [X2,X0,X1] : zero = divide(divide(divide(X0,X1),X2),divide(X0,X2)),
inference(forward_demodulation,[],[f8539,f4745]) ).
fof(f9107,plain,
! [X2,X0,X1] :
( zero != zero
| less_equal(divide(divide(X0,X1),X2),divide(X0,X2)) ),
inference(superposition,[],[f2,f8736]) ).
fof(f9127,plain,
! [X2,X0,X1] : less_equal(divide(divide(X0,X1),X2),divide(X0,X2)),
inference(trivial_inequality_removal,[],[f9107]) ).
fof(f16822,plain,
! [X0,X1] :
( zero != zero
| less_equal(divide(divide(X0,b),X1),divide(d,X1)) ),
inference(superposition,[],[f2,f8726]) ).
fof(f16846,plain,
! [X0,X1] : less_equal(divide(divide(X0,b),X1),divide(d,X1)),
inference(trivial_inequality_removal,[],[f16822]) ).
fof(f29890,plain,
! [X2,X0,X1] :
( ~ less_equal(divide(divide(X0,divide(X1,X2)),X1),divide(divide(X0,X1),zero))
| divide(divide(X0,divide(X1,X2)),X1) = divide(divide(X0,X1),zero) ),
inference(superposition,[],[f1004,f34]) ).
fof(f30017,plain,
! [X0] :
( ~ less_equal(divide(divide(X0,e),a),divide(divide(X0,a),zero))
| divide(divide(X0,e),a) = divide(divide(X0,a),zero) ),
inference(superposition,[],[f1004,f1549]) ).
fof(f30026,plain,
! [X0] :
( ~ less_equal(divide(divide(X0,g),b),divide(divide(X0,b),zero))
| divide(divide(X0,b),zero) = divide(divide(X0,g),b) ),
inference(superposition,[],[f1004,f1882]) ).
fof(f30054,plain,
! [X0] :
( ~ less_equal(divide(divide(X0,g),b),divide(X0,b))
| divide(divide(X0,b),zero) = divide(divide(X0,g),b) ),
inference(forward_demodulation,[],[f30026,f4745]) ).
fof(f30063,plain,
! [X0] :
( ~ less_equal(divide(divide(X0,e),a),divide(X0,a))
| divide(divide(X0,e),a) = divide(divide(X0,a),zero) ),
inference(forward_demodulation,[],[f30017,f4745]) ).
fof(f30186,plain,
! [X2,X0,X1] :
( ~ less_equal(divide(divide(X0,divide(X1,X2)),X1),divide(X0,X1))
| divide(divide(X0,divide(X1,X2)),X1) = divide(divide(X0,X1),zero) ),
inference(forward_demodulation,[],[f29890,f4745]) ).
fof(f30492,plain,
! [X0] : divide(divide(X0,b),zero) = divide(divide(X0,g),b),
inference(forward_subsumption_resolution,[],[f30054,f9127]) ).
fof(f30501,plain,
! [X0] : divide(divide(X0,e),a) = divide(divide(X0,a),zero),
inference(forward_subsumption_resolution,[],[f30063,f9127]) ).
fof(f30624,plain,
! [X2,X0,X1] : divide(divide(X0,divide(X1,X2)),X1) = divide(divide(X0,X1),zero),
inference(forward_subsumption_resolution,[],[f30186,f9127]) ).
fof(f30908,plain,
! [X0] : divide(X0,b) = divide(divide(X0,g),b),
inference(forward_demodulation,[],[f30492,f4745]) ).
fof(f30917,plain,
! [X0] : divide(X0,a) = divide(divide(X0,e),a),
inference(forward_demodulation,[],[f30501,f4745]) ).
fof(f31021,plain,
! [X2,X0,X1] : divide(X0,X1) = divide(divide(X0,divide(X1,X2)),X1),
inference(forward_demodulation,[],[f30624,f4745]) ).
fof(f34170,plain,
! [X0,X1] : less_equal(divide(divide(X0,b),X1),divide(X0,g)),
inference(superposition,[],[f6647,f30908]) ).
fof(f34369,plain,
! [X0] : less_equal(divide(X0,a),divide(X0,e)),
inference(superposition,[],[f3,f30917]) ).
fof(f38700,plain,
divide(zero,g) = divide(divide(c,divide(d,a)),g),
inference(superposition,[],[f31021,f1422]) ).
fof(f38705,plain,
divide(zero,e) = divide(divide(d,divide(c,b)),e),
inference(superposition,[],[f31021,f1430]) ).
fof(f39260,plain,
zero = divide(divide(d,divide(c,b)),e),
inference(forward_demodulation,[],[f38705,f32]) ).
fof(f39265,plain,
zero = divide(divide(c,divide(d,a)),g),
inference(forward_demodulation,[],[f38700,f32]) ).
fof(f41156,plain,
zero = divide(divide(divide(d,e),divide(divide(c,b),e)),zero),
inference(superposition,[],[f1005,f39260]) ).
fof(f41261,plain,
zero = divide(divide(d,e),divide(divide(c,b),e)),
inference(forward_demodulation,[],[f41156,f4745]) ).
fof(f41439,plain,
zero = divide(divide(divide(c,g),divide(divide(d,a),g)),zero),
inference(superposition,[],[f1005,f39265]) ).
fof(f41544,plain,
zero = divide(divide(c,g),divide(divide(d,a),g)),
inference(forward_demodulation,[],[f41439,f4745]) ).
fof(f124305,plain,
( zero != zero
| less_equal(divide(d,e),divide(divide(c,b),e)) ),
inference(superposition,[],[f2,f41261]) ).
fof(f124348,plain,
less_equal(divide(d,e),divide(divide(c,b),e)),
inference(trivial_inequality_removal,[],[f124305]) ).
fof(f124399,plain,
( ~ less_equal(divide(divide(c,b),e),divide(d,e))
| divide(d,e) = divide(divide(c,b),e) ),
inference(resolution,[],[f124348,f6]) ).
fof(f124401,plain,
divide(d,e) = divide(divide(c,b),e),
inference(forward_subsumption_resolution,[],[f124399,f16846]) ).
fof(f124560,plain,
less_equal(divide(d,e),divide(c,g)),
inference(superposition,[],[f34170,f124401]) ).
fof(f124597,plain,
divide(divide(d,e),a) = divide(divide(c,b),a),
inference(superposition,[],[f30917,f124401]) ).
fof(f124662,plain,
divide(d,a) = divide(divide(c,b),a),
inference(forward_demodulation,[],[f124597,f30917]) ).
fof(f124675,plain,
( ~ less_equal(divide(c,g),divide(d,e))
| divide(c,g) = divide(d,e) ),
inference(resolution,[],[f124560,f6]) ).
fof(f124677,plain,
~ less_equal(divide(c,g),divide(d,e)),
inference(forward_subsumption_resolution,[],[f124675,f13]) ).
fof(f124723,plain,
less_equal(divide(d,a),divide(c,g)),
inference(superposition,[],[f34170,f124662]) ).
fof(f128187,plain,
divide(zero,divide(d,a)) = divide(divide(c,g),divide(d,a)),
inference(superposition,[],[f31021,f41544]) ).
fof(f128254,plain,
zero = divide(divide(c,g),divide(d,a)),
inference(forward_demodulation,[],[f128187,f32]) ).
fof(f128324,plain,
( zero != zero
| less_equal(divide(c,g),divide(d,a)) ),
inference(superposition,[],[f2,f128254]) ).
fof(f128367,plain,
less_equal(divide(c,g),divide(d,a)),
inference(trivial_inequality_removal,[],[f128324]) ).
fof(f128416,plain,
( ~ less_equal(divide(d,a),divide(c,g))
| divide(c,g) = divide(d,a) ),
inference(resolution,[],[f128367,f6]) ).
fof(f128418,plain,
divide(c,g) = divide(d,a),
inference(forward_subsumption_resolution,[],[f128416,f124723]) ).
fof(f128529,plain,
less_equal(divide(c,g),divide(d,e)),
inference(superposition,[],[f34369,f128418]) ).
fof(f128604,plain,
$false,
inference(forward_subsumption_resolution,[],[f128529,f124677]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HEN011-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.14/0.38 % Computer : n016.cluster.edu
% 0.14/0.38 % Model : x86_64 x86_64
% 0.14/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.38 % Memory : 8046.5625MB
% 0.14/0.38 % OS : Linux 6.8.0-71-generic
% 0.14/0.38 % CPULimit : 300
% 0.14/0.38 % WCLimit : 300
% 0.14/0.38 % DateTime : Sun Sep 27 10:56:32 UTC 2026
% 0.14/0.38 % CPUTime :
% 0.14/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.14/0.43 Running first-order model finding
% 0.14/0.43 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
% 18.80/3.19 % (2448088)Will run a generic schedule for satisfiability detection.
% 18.80/3.19 % (2448093)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3158571471_2999 on theBenchmark for (2999ds/0Mi)
% 18.80/3.19 % TRYING [1]
% 18.80/3.19 % TRYING [2]
% 18.80/3.19 % TRYING [3]
% 18.80/3.19 % TRYING [4]
% 18.80/3.19 % TRYING [5]
% 18.80/3.19 % TRYING [6]
% 18.80/3.19 % (2448097)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4241749672:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 18.80/3.19 % (2448094)% WARNING: option uhcvi not known.
% 18.80/3.19 % (2448099)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2609036203:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 18.80/3.19 % (2448096)dis+10_1_sil=32000:sp=arity:random_seed=903976673:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 18.80/3.19 % (2448098)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2183809750:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 18.80/3.19 % (2448094)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2402623604:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 18.80/3.19 % (2448095)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3039205508:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 18.80/3.19 % TRYING [7]
% 18.80/3.19 % (2448096)Instruction limit reached!
% 18.80/3.19 % (2448096)------------------------------
% 18.80/3.19 % (2448096)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.80/3.19 % (2448096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.80/3.19 % (2448096)CaDiCaL version: 2.1.3
% 18.80/3.19 % (2448096)Termination reason: Instruction limit
% 18.80/3.19 % (2448096)Termination phase: Saturation
% 18.80/3.19 % (2448096)Time elapsed: 0.095 s
% 18.80/3.19 % (2448096)Peak memory usage: 12 MB
% 18.80/3.19 % (2448096)Instructions burned: 104 (million)
% 18.80/3.19 % (2448097)Instruction limit reached!
% 18.80/3.19 % (2448097)------------------------------
% 18.80/3.19 % (2448097)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.80/3.19 % (2448097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.80/3.19 % (2448097)CaDiCaL version: 2.1.3
% 18.80/3.19 % (2448097)Termination reason: Instruction limit
% 18.80/3.19 % (2448097)Termination phase: Saturation
% 18.80/3.19 % (2448097)Time elapsed: 0.106 s
% 18.80/3.19 % (2448097)Peak memory usage: 12 MB
% 18.80/3.19 % (2448097)Instructions burned: 120 (million)
% 18.80/3.19 % (2448099)Instruction limit reached!
% 18.80/3.19 % (2448099)------------------------------
% 18.80/3.19 % (2448099)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.80/3.19 % (2448099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.80/3.19 % (2448099)CaDiCaL version: 2.1.3
% 18.80/3.19 % (2448099)Termination reason: Instruction limit
% 18.80/3.19 % (2448099)Termination phase: Saturation
% 18.80/3.19 % (2448099)Time elapsed: 0.108 s
% 18.80/3.19 % (2448099)Peak memory usage: 14 MB
% 18.80/3.19 % (2448099)Instructions burned: 160 (million)
% 18.80/3.19 % (2448098)Instruction limit reached!
% 18.80/3.19 % (2448098)------------------------------
% 18.80/3.19 % (2448098)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.80/3.19 % (2448098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.80/3.19 % (2448098)CaDiCaL version: 2.1.3
% 18.80/3.19 % (2448098)Termination reason: Instruction limit
% 18.80/3.19 % (2448098)Termination phase: Saturation
% 18.80/3.19 % (2448098)Time elapsed: 0.122 s
% 18.80/3.19 % (2448098)Peak memory usage: 12 MB
% 18.80/3.19 % (2448098)Instructions burned: 132 (million)
% 18.80/3.19 % (2448109)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=1182120152:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 18.80/3.19 % (2448107)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=168731500:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 18.80/3.19 % TRYING [1]
% 18.80/3.19 % TRYING [2]
% 18.80/3.19 % TRYING [3]
% 18.80/3.19 % TRYING [4]
% 18.80/3.19 % (2448108)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2529039705:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 18.80/3.19 % TRYING [5]
% 18.80/3.19 % (2448110)ott-21_1_sil=16000:fs=off:random_seed=1873241400:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 18.80/3.19 % TRYING [6]
% 18.80/3.19 % TRYING [8]
% 18.80/3.19 % (2448108)Instruction limit reached!
% 18.80/3.19 % (2448108)------------------------------
% 18.80/3.19 % (2448108)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.74/4.09 % (2448108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.74/4.09 % (2448108)CaDiCaL version: 2.1.3
% 10.74/4.09 % (2448108)Termination reason: Instruction limit
% 10.74/4.09 % (2448108)Termination phase: Saturation
% 10.74/4.09 % (2448108)Time elapsed: 0.108 s
% 10.74/4.09 % (2448108)Peak memory usage: 13 MB
% 10.74/4.09 % (2448108)Instructions burned: 133 (million)
% 10.74/4.09 % (2448115)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=571714254:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 10.74/4.09 % TRYING [7]
% 10.74/4.09 % (2448110)Instruction limit reached!
% 10.74/4.09 % (2448110)------------------------------
% 10.74/4.09 % (2448110)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.74/4.09 % (2448110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.74/4.09 % (2448110)CaDiCaL version: 2.1.3
% 10.74/4.09 % (2448110)Termination reason: Instruction limit
% 10.74/4.09 % (2448110)Termination phase: Saturation
% 10.74/4.09 % (2448110)Time elapsed: 0.156 s
% 10.74/4.09 % (2448110)Peak memory usage: 12 MB
% 10.74/4.09 % (2448110)Instructions burned: 180 (million)
% 10.74/4.09 % (2448117)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=449395087:fmbsr=1.3:i=865:ins=25_2995 on theBenchmark for (2995ds/865Mi)
% 10.74/4.09 % TRYING [1]
% 10.74/4.09 % TRYING [2]
% 10.74/4.09 % TRYING [3]
% 10.74/4.09 % TRYING [4]
% 10.74/4.09 % TRYING [5]
% 10.74/4.09 % TRYING [6]
% 10.74/4.09 % (2448115)Instruction limit reached!
% 10.74/4.09 % (2448115)------------------------------
% 10.74/4.09 % (2448115)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.74/4.09 % (2448115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.74/4.09 % (2448115)CaDiCaL version: 2.1.3
% 10.74/4.09 % (2448115)Termination reason: Instruction limit
% 10.74/4.09 % (2448115)Termination phase: Saturation
% 10.74/4.09 % (2448115)Time elapsed: 0.276 s
% 10.74/4.09 % (2448115)Peak memory usage: 15 MB
% 10.74/4.09 % (2448115)Instructions burned: 477 (million)
% 10.74/4.09 % TRYING [9]
% 10.74/4.09 % (2448119)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1264847234:i=1179_2993 on theBenchmark for (2993ds/1179Mi)
% 10.74/4.09 % TRYING [7]
% 10.74/4.09 % (2448107)Instruction limit reached!
% 10.74/4.09 % (2448107)------------------------------
% 10.74/4.09 % (2448107)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.74/4.09 % (2448107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.74/4.09 % (2448107)CaDiCaL version: 2.1.3
% 10.74/4.09 % (2448107)Termination reason: Instruction limit
% 10.74/4.09 % (2448107)Termination phase: Finite model building SAT solving
% 10.74/4.09 % (2448107)Time elapsed: 0.578 s
% 10.74/4.09 % (2448107)Peak memory usage: 27 MB
% 10.74/4.09 % (2448107)Instructions burned: 716 (million)
% 10.74/4.09 % (2448109)Instruction limit reached!
% 10.74/4.09 % (2448109)------------------------------
% 10.74/4.09 % (2448109)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.74/4.09 % (2448109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.74/4.09 % (2448109)CaDiCaL version: 2.1.3
% 10.74/4.09 % (2448109)Termination reason: Instruction limit
% 10.74/4.09 % (2448109)Termination phase: Saturation
% 10.74/4.09 % (2448109)Time elapsed: 0.618 s
% 10.74/4.09 % (2448109)Peak memory usage: 17 MB
% 10.74/4.09 % (2448109)Instructions burned: 684 (million)
% 10.74/4.09 % (2448121)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=462981736:i=889:ins=1_2992 on theBenchmark for (2992ds/889Mi)
% 10.74/4.09 % (2448123)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=3299085493:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2991 on theBenchmark for (2991ds/692Mi)
% 10.74/4.09 % TRYING [14]
% 10.74/4.09 % TRYING [8]
% 10.74/4.09 % (2448117)Instruction limit reached!
% 10.74/4.09 % (2448117)------------------------------
% 10.74/4.09 % (2448117)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.74/4.09 % (2448117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.74/4.09 % (2448117)CaDiCaL version: 2.1.3
% 10.74/4.09 % (2448117)Termination reason: Instruction limit
% 10.74/4.09 % (2448117)Termination phase: Finite model building constraint generation
% 10.74/4.09 % (2448117)Time elapsed: 0.585 s
% 10.74/4.09 % (2448117)Peak memory usage: 19 MB
% 10.74/4.09 % (2448117)Instructions burned: 866 (million)
% 10.74/4.09 % (2448125)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3082088229:i=879:kws=inv_precedence:fsr=off_2989 on theBenchmark for (2989ds/879Mi)
% 10.74/4.09 % (2448119)Instruction limit reached!
% 10.74/4.09 % (2448119)------------------------------
% 10.74/4.09 % (2448119)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.74/4.09 % (2448119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.74/4.09 % (2448119)CaDiCaL version: 2.1.3
% 10.74/4.09 % (2448119)Termination reason: Instruction limit
% 10.74/4.09 % (2448119)Termination phase: Saturation
% 10.74/4.09 % (2448119)Time elapsed: 0.589 s
% 10.74/4.09 % (2448119)Peak memory usage: 23 MB
% 10.74/4.09 % (2448119)Instructions burned: 1181 (million)
% 10.74/4.09 % (2448123)Instruction limit reached!
% 10.74/4.09 % (2448123)------------------------------
% 10.74/4.09 % (2448123)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.74/4.09 % (2448123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.74/4.09 % (2448123)CaDiCaL version: 2.1.3
% 10.74/4.09 % (2448123)Termination reason: Instruction limit
% 10.74/4.09 % (2448123)Termination phase: Saturation
% 10.74/4.09 % (2448123)Time elapsed: 0.409 s
% 10.74/4.09 % (2448123)Peak memory usage: 17 MB
% 10.74/4.09 % (2448123)Instructions burned: 692 (million)
% 10.74/4.09 % (2448127)fmb+10_1_sil=64000:random_seed=1765349341:i=22061:nm=2:gsp=on_2987 on theBenchmark for (2987ds/22061Mi)
% 10.74/4.09 % TRYING [1]
% 10.74/4.09 % TRYING [2]
% 10.74/4.09 % TRYING [3]
% 10.74/4.09 % TRYING [4]
% 10.74/4.09 % (2448128)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2717730858:i=9515:nm=5_2987 on theBenchmark for (2987ds/9515Mi)
% 10.74/4.09 % TRYING [20]
% 10.74/4.09 % TRYING [5]
% 10.74/4.09 % TRYING [6]
% 10.74/4.09 % TRYING [7]
% 10.74/4.09 % (2448121)Instruction limit reached!
% 10.74/4.09 % (2448121)------------------------------
% 10.74/4.09 % (2448121)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.74/4.09 % (2448121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.74/4.09 % (2448121)CaDiCaL version: 2.1.3
% 10.74/4.09 % (2448121)Termination reason: Instruction limit
% 10.74/4.09 % (2448121)Termination phase: Finite model building constraint generation
% 10.74/4.09 % (2448121)Time elapsed: 0.632 s
% 10.74/4.09 % (2448121)Peak memory usage: 75 MB
% 10.74/4.09 % (2448121)Instructions burned: 890 (million)
% 10.74/4.09 % (2448131)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=679061051:fmbsr=1.7:i=920_2985 on theBenchmark for (2985ds/920Mi)
% 10.74/4.09 % TRYING [8]
% 10.74/4.09 % TRYING [10]
% 10.74/4.09 % TRYING [8]
% 10.74/4.09 % TRYING [9]
% 10.74/4.09 % (2448125)Instruction limit reached!
% 10.74/4.09 % (2448125)------------------------------
% 10.74/4.09 % (2448125)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.74/4.09 % (2448125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.74/4.09 % (2448125)CaDiCaL version: 2.1.3
% 10.74/4.09 % (2448125)Termination reason: Instruction limit
% 10.74/4.09 % (2448125)Termination phase: Saturation
% 10.74/4.09 % (2448125)Time elapsed: 0.798 s
% 10.74/4.09 % (2448125)Peak memory usage: 19 MB
% 10.74/4.09 % (2448125)Instructions burned: 879 (million)
% 10.74/4.09 % (2448133)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=723928934:i=5131_2981 on theBenchmark for (2981ds/5131Mi)
% 10.74/4.09 % TRYING [9]
% 10.74/4.09 % (2448131)Instruction limit reached!
% 10.74/4.09 % (2448131)------------------------------
% 10.74/4.09 % (2448131)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.74/4.09 % (2448131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.74/4.09 % (2448131)CaDiCaL version: 2.1.3
% 10.74/4.09 % (2448131)Termination reason: Instruction limit
% 10.74/4.09 % (2448131)Termination phase: Finite model building constraint generation
% 10.74/4.09 % (2448131)Time elapsed: 0.432 s
% 10.74/4.09 % (2448131)Peak memory usage: 36 MB
% 10.74/4.09 % (2448131)Instructions burned: 921 (million)
% 10.74/4.09 % (2448135)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=4000819491:i=1472:ins=7:fdi=8:gsp=on_2980 on theBenchmark for (2980ds/1472Mi)
% 10.74/4.09 % (2448135)Instruction limit reached!
% 10.74/4.09 % (2448135)------------------------------
% 10.74/4.09 % (2448135)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.74/4.09 % (2448135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.74/4.09 % (2448135)CaDiCaL version: 2.1.3
% 10.74/4.09 % (2448135)Termination reason: Instruction limit
% 10.74/4.09 % (2448135)Termination phase: Saturation
% 10.74/4.09 % (2448135)Time elapsed: 0.790 s
% 10.74/4.09 % (2448135)Peak memory usage: 25 MB
% 10.74/4.09 % (2448135)Instructions burned: 1474 (million)
% 10.74/4.09 % (2448137)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1960616574:i=6324_2972 on theBenchmark for (2972ds/6324Mi)
% 10.74/4.09 % TRYING [77]
% 10.74/4.09 % TRYING [10]
% 10.74/4.09 % (2448095) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2448088-2448095"...
% 10.74/4.09 % (2448095)...printing done.
% 10.74/4.09 % (2448095)Refutation found. Thanks to Tanya!
% 10.74/4.09 % SZS status Unsatisfiable for theBenchmark
% 10.74/4.09 % SZS output start Proof for theBenchmark
% See solution above
% 10.74/4.09 % (2448095)------------------------------
% 10.74/4.09 % (2448095)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.74/4.09 % (2448095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.74/4.09 % (2448095)CaDiCaL version: 2.1.3
% 10.74/4.09 % (2448095)Termination reason: Refutation
% 10.74/4.09 % (2448095)Time elapsed: 3.491 s
% 10.74/4.09 % (2448095)Peak memory usage: 50 MB
% 10.74/4.09 % (2448095)Instructions burned: 3847 (million)
% 10.74/4.09 % (2448088)Success in time 3.652 s
% 10.74/4.09 % Vampire exiting
%------------------------------------------------------------------------------