%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : HEN009-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 10:19:08 AM UTC 2026
% Result : Unsatisfiable 8.70s 2.13s
% Output : Refutation 9.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 15
% Syntax : Number of formulae : 95 ( 44 unt; 2 def)
% Number of atoms : 168 ( 36 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 146 ( 73 ~; 71 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 113 ( 0 sgn 113 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( quotient(X0,X1,zero)
| ~ less_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quotient_less_equal) ).
fof(f2,axiom,
! [X0,X1] :
( ~ quotient(X0,X1,zero)
| less_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_equal_quotient) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ quotient(X0,X1,X2)
| less_equal(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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/sandbox2/benchmark/theBenchmark.p',quotient_property) ).
fof(f5,axiom,
! [X0] : less_equal(zero,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zero_is_smallest) ).
fof(f6,axiom,
! [X0,X1] :
( ~ less_equal(X1,X0)
| ~ less_equal(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_equal_and_equal) ).
fof(f7,axiom,
! [X0] : less_equal(X0,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_is_largest) ).
fof(f8,axiom,
! [X0,X1] : quotient(X0,X1,divide(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure) ).
fof(f9,axiom,
! [X2,X3,X0,X1] :
( ~ quotient(X0,X1,X3)
| ~ quotient(X0,X1,X2)
| X2 = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_defined) ).
fof(f10,axiom,
quotient(identity,a,idQa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_divide_a) ).
fof(f11,axiom,
quotient(identity,idQa,idQ_idQa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_divide_idQa) ).
fof(f12,axiom,
quotient(identity,idQ_idQa,idQ__idQ_idQa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_divide_idQ_idQa) ).
fof(f13,negated_conjecture,
idQa != idQ__idQ_idQa,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_one_inversion_equals_three) ).
fof(f18,plain,
! [X2,X0,X1] :
( ~ quotient(X0,X1,X2)
| divide(X0,X1) = X2 ),
inference(resolution,[],[f8,f9]) ).
fof(f22,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(f26,plain,
! [X0,X1] : less_equal(divide(X0,X1),X0),
inference(resolution,[],[f3,f8]) ).
fof(f31,plain,
! [X0,X1] :
( ~ less_equal(X0,divide(X0,X1))
| divide(X0,X1) = X0 ),
inference(resolution,[],[f26,f6]) ).
fof(f35,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,[],[f22,f8]) ).
fof(f36,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,[],[f22,f1]) ).
fof(f41,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,[],[f35,f1]) ).
fof(f49,plain,
idQ__idQ_idQa = divide(identity,idQ_idQa),
inference(resolution,[],[f18,f12]) ).
fof(f50,plain,
idQ_idQa = divide(identity,idQa),
inference(resolution,[],[f18,f11]) ).
fof(f51,plain,
idQa = divide(identity,a),
inference(resolution,[],[f18,f10]) ).
fof(f53,plain,
! [X0,X1] :
( ~ less_equal(X0,X1)
| zero = divide(X0,X1) ),
inference(resolution,[],[f18,f1]) ).
fof(f75,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,[],[f41,f8]) ).
fof(f77,plain,
! [X0] :
( less_equal(divide(divide(identity,X0),zero),divide(idQ__idQ_idQa,X0))
| ~ less_equal(idQ_idQa,X0) ),
inference(resolution,[],[f75,f12]) ).
fof(f115,plain,
( less_equal(divide(idQa,zero),divide(idQ__idQ_idQa,a))
| ~ less_equal(idQ_idQa,a) ),
inference(superposition,[],[f77,f51]) ).
fof(f127,definition,
( spl0_9
<=> less_equal(idQ_idQa,a) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f129,plain,
( ~ less_equal(idQ_idQa,a)
| spl0_9 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f131,definition,
( spl0_10
<=> less_equal(divide(idQa,zero),divide(idQ__idQ_idQa,a)) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f133,plain,
( less_equal(divide(idQa,zero),divide(idQ__idQ_idQa,a))
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f134,plain,
( ~ spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f115,f131,f127]) ).
fof(f225,plain,
! [X0] :
( ~ less_equal(X0,zero)
| zero = X0 ),
inference(resolution,[],[f5,f6]) ).
fof(f226,plain,
! [X0] : zero = divide(zero,X0),
inference(resolution,[],[f5,f31]) ).
fof(f259,plain,
! [X0] : zero = divide(X0,identity),
inference(resolution,[],[f53,f7]) ).
fof(f260,plain,
! [X0,X1] : zero = divide(divide(X0,X1),X0),
inference(resolution,[],[f53,f26]) ).
fof(f324,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,[],[f36,f8]) ).
fof(f330,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,[],[f324,f8]) ).
fof(f335,plain,
! [X0] :
( less_equal(divide(divide(identity,X0),divide(a,X0)),zero)
| ~ less_equal(idQa,X0) ),
inference(resolution,[],[f330,f10]) ).
fof(f336,plain,
! [X2,X0,X1] :
( less_equal(divide(divide(X0,X1),divide(X2,X1)),zero)
| ~ less_equal(divide(X0,X2),X1) ),
inference(resolution,[],[f330,f8]) ).
fof(f343,plain,
! [X2,X0,X1] :
( ~ less_equal(divide(X0,X1),X2)
| ~ less_equal(zero,divide(divide(X0,X2),divide(X1,X2)))
| zero = divide(divide(X0,X2),divide(X1,X2)) ),
inference(resolution,[],[f336,f6]) ).
fof(f361,plain,
! [X2,X0,X1] :
( ~ less_equal(divide(X0,X1),X2)
| zero = divide(divide(X0,X2),divide(X1,X2)) ),
inference(forward_subsumption_resolution,[],[f343,f5]) ).
fof(f366,plain,
! [X0,X1] : zero = divide(divide(X0,X0),divide(X1,X0)),
inference(resolution,[],[f361,f26]) ).
fof(f375,plain,
! [X0,X1] :
( ~ less_equal(zero,X1)
| zero = divide(divide(X0,X1),divide(identity,X1)) ),
inference(superposition,[],[f361,f259]) ).
fof(f383,plain,
! [X0,X1] : zero = divide(divide(X0,X1),divide(identity,X1)),
inference(forward_subsumption_resolution,[],[f375,f5]) ).
fof(f404,plain,
! [X0,X1] : quotient(divide(X0,X0),divide(X1,X0),zero),
inference(superposition,[],[f8,f366]) ).
fof(f436,plain,
! [X0,X1] : quotient(divide(X0,X1),divide(identity,X1),zero),
inference(superposition,[],[f8,f383]) ).
fof(f672,plain,
! [X0,X1] : less_equal(divide(X0,X0),divide(X1,X0)),
inference(resolution,[],[f404,f2]) ).
fof(f712,plain,
! [X0] : divide(X0,X0) = divide(divide(X0,X0),X0),
inference(resolution,[],[f672,f31]) ).
fof(f735,plain,
! [X0] : zero = divide(X0,X0),
inference(forward_demodulation,[],[f712,f260]) ).
fof(f741,plain,
! [X0] : quotient(X0,X0,zero),
inference(superposition,[],[f8,f735]) ).
fof(f784,plain,
! [X0] : less_equal(X0,X0),
inference(resolution,[],[f741,f2]) ).
fof(f882,plain,
( less_equal(divide(idQ_idQa,divide(a,idQa)),zero)
| ~ less_equal(idQa,idQa) ),
inference(superposition,[],[f335,f50]) ).
fof(f888,plain,
less_equal(divide(idQ_idQa,divide(a,idQa)),zero),
inference(forward_subsumption_resolution,[],[f882,f784]) ).
fof(f893,plain,
( ~ less_equal(zero,divide(idQ_idQa,divide(a,idQa)))
| zero = divide(idQ_idQa,divide(a,idQa)) ),
inference(resolution,[],[f888,f6]) ).
fof(f894,plain,
zero = divide(idQ_idQa,divide(a,idQa)),
inference(forward_subsumption_resolution,[],[f893,f5]) ).
fof(f900,plain,
quotient(idQ_idQa,divide(a,idQa),zero),
inference(superposition,[],[f8,f894]) ).
fof(f1094,plain,
! [X0,X1] : less_equal(divide(X0,X1),divide(identity,X1)),
inference(resolution,[],[f436,f2]) ).
fof(f1125,plain,
! [X0] : quotient(divide(X0,idQa),idQ_idQa,zero),
inference(superposition,[],[f436,f50]) ).
fof(f1135,plain,
! [X0] : less_equal(divide(X0,idQa),idQ_idQa),
inference(resolution,[],[f1125,f2]) ).
fof(f1158,plain,
! [X0] : zero = divide(divide(X0,idQ_idQa),divide(idQa,idQ_idQa)),
inference(resolution,[],[f1135,f361]) ).
fof(f1184,plain,
! [X0] : quotient(divide(X0,idQ_idQa),divide(idQa,idQ_idQa),zero),
inference(superposition,[],[f8,f1158]) ).
fof(f1295,plain,
! [X0] : less_equal(divide(X0,idQ_idQa),divide(idQa,idQ_idQa)),
inference(resolution,[],[f1184,f2]) ).
fof(f1405,plain,
! [X0] : less_equal(divide(X0,idQ_idQa),idQ__idQ_idQa),
inference(superposition,[],[f1094,f49]) ).
fof(f1487,plain,
less_equal(idQ_idQa,divide(a,idQa)),
inference(resolution,[],[f900,f2]) ).
fof(f1510,plain,
( ~ less_equal(divide(a,idQa),idQ_idQa)
| idQ_idQa = divide(a,idQa) ),
inference(resolution,[],[f1487,f6]) ).
fof(f1511,plain,
idQ_idQa = divide(a,idQa),
inference(forward_subsumption_resolution,[],[f1510,f1135]) ).
fof(f1524,plain,
less_equal(idQ_idQa,a),
inference(superposition,[],[f26,f1511]) ).
fof(f1550,plain,
( $false
| spl0_9 ),
inference(forward_subsumption_resolution,[],[f1524,f129]) ).
fof(f1551,plain,
spl0_9,
inference(avatar_contradiction_clause,[],[f1550]) ).
fof(f1836,plain,
( zero = divide(divide(idQa,divide(idQ__idQ_idQa,a)),divide(zero,divide(idQ__idQ_idQa,a)))
| ~ spl0_10 ),
inference(resolution,[],[f133,f361]) ).
fof(f1849,plain,
( zero = divide(divide(idQa,divide(idQ__idQ_idQa,a)),zero)
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1836,f226]) ).
fof(f1853,plain,
( quotient(divide(idQa,divide(idQ__idQ_idQa,a)),zero,zero)
| ~ spl0_10 ),
inference(superposition,[],[f8,f1849]) ).
fof(f1965,plain,
less_equal(idQ__idQ_idQa,divide(idQa,idQ_idQa)),
inference(superposition,[],[f1295,f49]) ).
fof(f2178,plain,
( less_equal(divide(idQa,divide(idQ__idQ_idQa,a)),zero)
| ~ spl0_10 ),
inference(resolution,[],[f1853,f2]) ).
fof(f2202,plain,
( zero = divide(idQa,divide(idQ__idQ_idQa,a))
| ~ spl0_10 ),
inference(resolution,[],[f2178,f225]) ).
fof(f2230,plain,
( ! [X0] :
( ~ less_equal(zero,X0)
| zero = divide(divide(idQa,X0),divide(divide(idQ__idQ_idQa,a),X0)) )
| ~ spl0_10 ),
inference(superposition,[],[f361,f2202]) ).
fof(f2240,plain,
( ! [X0] : zero = divide(divide(idQa,X0),divide(divide(idQ__idQ_idQa,a),X0))
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f2230,f5]) ).
fof(f2265,plain,
( zero = divide(divide(idQa,idQ__idQ_idQa),zero)
| ~ spl0_10 ),
inference(superposition,[],[f2240,f260]) ).
fof(f2308,plain,
( quotient(divide(idQa,idQ__idQ_idQa),zero,zero)
| ~ spl0_10 ),
inference(superposition,[],[f8,f2265]) ).
fof(f2343,plain,
( less_equal(divide(idQa,idQ__idQ_idQa),zero)
| ~ spl0_10 ),
inference(resolution,[],[f2308,f2]) ).
fof(f2367,plain,
( zero = divide(idQa,idQ__idQ_idQa)
| ~ spl0_10 ),
inference(resolution,[],[f2343,f225]) ).
fof(f2381,plain,
( quotient(idQa,idQ__idQ_idQa,zero)
| ~ spl0_10 ),
inference(superposition,[],[f8,f2367]) ).
fof(f2460,plain,
( less_equal(idQa,idQ__idQ_idQa)
| ~ spl0_10 ),
inference(resolution,[],[f2381,f2]) ).
fof(f2882,plain,
( ~ less_equal(divide(idQa,idQ_idQa),idQ__idQ_idQa)
| idQ__idQ_idQa = divide(idQa,idQ_idQa) ),
inference(resolution,[],[f1965,f6]) ).
fof(f2883,plain,
idQ__idQ_idQa = divide(idQa,idQ_idQa),
inference(forward_subsumption_resolution,[],[f2882,f1405]) ).
fof(f2907,plain,
( ~ less_equal(idQa,idQ__idQ_idQa)
| idQa = idQ__idQ_idQa ),
inference(superposition,[],[f31,f2883]) ).
fof(f2933,plain,
( idQa = idQ__idQ_idQa
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f2907,f2460]) ).
fof(f2939,plain,
( $false
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f2933,f13]) ).
fof(f2940,plain,
~ spl0_10,
inference(avatar_contradiction_clause,[],[f2939]) ).
cnf(s5,plain,
( ~ spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f134]) ).
cnf(s24,plain,
spl0_9,
inference(sat_conversion,[],[f1551]) ).
cnf(s34,plain,
~ spl0_10,
inference(sat_conversion,[],[f2940]) ).
cnf(s37,plain,
$false,
inference(rat,[],[s5,s34,s24]) ).
fof(f2941,plain,
$false,
inference(avatar_sat_refutation,[],[s37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HEN009-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n002.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 10:53:51 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 8.70/2.12 % (3360684)Input is clausal, will run a generic CNF schedule.
% 8.70/2.12 % (3360695)dis-21_1_sil=8000:lcm=predicate:random_seed=3752927216:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 8.70/2.12 % (3360695)Instruction limit reached!
% 8.70/2.12 % (3360695)------------------------------
% 8.70/2.12 % (3360695)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.70/2.12 % (3360695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.70/2.12 % (3360695)CaDiCaL version: 2.1.3
% 8.70/2.12 % (3360695)Termination reason: Instruction limit
% 8.70/2.12 % (3360695)Termination phase: Saturation
% 8.70/2.12 % (3360695)Time elapsed: 0.033 s
% 8.70/2.12 % (3360695)Peak memory usage: 88 MB
% 8.70/2.12 % (3360695)Instructions burned: 121 (million)
% 8.70/2.12 % (3360689)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=4186086413:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 8.70/2.12 % (3360692)lrs+10_1_sil=8000:sp=occurrence:random_seed=2362350163:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 8.70/2.12 % (3360690)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3350160445:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 8.70/2.12 % (3360693)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3711430106:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 8.70/2.12 % (3360694)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=971387989:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 8.70/2.12 % (3360691)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1988567929:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 8.70/2.12 % (3360692)Refutation not found, incomplete strategy
% 8.70/2.12 % (3360692)------------------------------
% 8.70/2.12 % (3360692)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.70/2.12 % (3360692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.70/2.12 % (3360692)CaDiCaL version: 2.1.3
% 8.70/2.12 % (3360692)Termination reason: Refutation not found, incomplete strategy
% 8.70/2.12 % (3360692)Time elapsed: 0.005 s
% 8.70/2.12 % (3360692)Peak memory usage: 88 MB
% 8.70/2.12 % (3360692)Instructions burned: 5 (million)
% 8.70/2.12 % (3360693)Refutation not found, incomplete strategy
% 8.70/2.12 % (3360693)------------------------------
% 8.70/2.12 % (3360693)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.70/2.12 % (3360693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.70/2.12 % (3360693)CaDiCaL version: 2.1.3
% 8.70/2.12 % (3360693)Termination reason: Refutation not found, incomplete strategy
% 8.70/2.12 % (3360693)Time elapsed: 0.008 s
% 8.70/2.12 % (3360693)Peak memory usage: 88 MB
% 8.70/2.12 % (3360693)Instructions burned: 9 (million)
% 8.70/2.12 % (3360694)Instruction limit reached!
% 8.70/2.12 % (3360694)------------------------------
% 8.70/2.12 % (3360694)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.70/2.12 % (3360694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.70/2.13 % (3360694)CaDiCaL version: 2.1.3
% 8.70/2.13 % (3360694)Termination reason: Instruction limit
% 8.70/2.13 % (3360694)Termination phase: Saturation
% 8.70/2.13 % (3360694)Time elapsed: 0.094 s
% 8.70/2.13 % (3360694)Peak memory usage: 88 MB
% 8.70/2.13 % (3360694)Instructions burned: 180 (million)
% 8.70/2.13 % (3360697)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=4011559887:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 8.70/2.13 % (3360697)Refutation not found, incomplete strategy
% 8.70/2.13 % (3360697)------------------------------
% 8.70/2.13 % (3360697)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.70/2.13 % (3360697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.70/2.13 % (3360697)CaDiCaL version: 2.1.3
% 8.70/2.13 % (3360697)Termination reason: Refutation not found, incomplete strategy
% 8.70/2.13 % (3360697)Time elapsed: 0.003 s
% 8.70/2.13 % (3360697)Peak memory usage: 88 MB
% 8.70/2.13 % (3360697)Instructions burned: 6 (million)
% 8.70/2.13 % (3360693)------------------------------
% 8.70/2.13 % (3360693)------------------------------
% 8.70/2.13 % (3360692)------------------------------
% 8.70/2.13 % (3360692)------------------------------
% 8.70/2.13 % (3360704)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2182435224:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 8.70/2.13 % (3360697)------------------------------
% 8.70/2.13 % (3360697)------------------------------
% 8.70/2.13 % (3360704)Instruction limit reached!
% 8.70/2.13 % (3360704)------------------------------
% 8.70/2.13 % (3360704)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.70/2.13 % (3360704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.70/2.13 % (3360704)CaDiCaL version: 2.1.3
% 8.70/2.13 % (3360704)Termination reason: Instruction limit
% 8.70/2.13 % (3360704)Termination phase: Saturation
% 8.70/2.13 % (3360704)Time elapsed: 0.111 s
% 8.70/2.13 % (3360704)Peak memory usage: 89 MB
% 8.70/2.13 % (3360704)Instructions burned: 190 (million)
% 8.70/2.13 % (3360709)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2699873651:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 8.70/2.13 % (3360708)lrs+10_64_to=lpo:sil=8000:random_seed=3669319163:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 8.70/2.13 % (3360707)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1379657802:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 8.70/2.13 % (3360707)Refutation not found, incomplete strategy
% 8.70/2.13 % (3360707)------------------------------
% 8.70/2.13 % (3360707)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.70/2.13 % (3360707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.70/2.13 % (3360707)CaDiCaL version: 2.1.3
% 8.70/2.13 % (3360707)Termination reason: Refutation not found, incomplete strategy
% 8.70/2.13 % (3360707)Time elapsed: 0.004 s
% 8.70/2.13 % (3360707)Peak memory usage: 88 MB
% 8.70/2.13 % (3360707)Instructions burned: 5 (million)
% 8.70/2.13 % (3360709)Instruction limit reached!
% 8.70/2.13 % (3360709)------------------------------
% 8.70/2.13 % (3360709)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.70/2.13 % (3360709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.70/2.13 % (3360709)CaDiCaL version: 2.1.3
% 8.70/2.13 % (3360709)Termination reason: Instruction limit
% 8.70/2.13 % (3360709)Termination phase: Saturation
% 8.70/2.13 % (3360709)Time elapsed: 0.066 s
% 8.70/2.13 % (3360709)Peak memory usage: 88 MB
% 8.70/2.13 % (3360709)Instructions burned: 197 (million)
% 8.70/2.13 % (3360708)Instruction limit reached!
% 8.70/2.13 % (3360708)------------------------------
% 8.70/2.13 % (3360708)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.70/2.13 % (3360708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.70/2.13 % (3360708)CaDiCaL version: 2.1.3
% 8.70/2.13 % (3360708)Termination reason: Instruction limit
% 8.70/2.13 % (3360708)Termination phase: Saturation
% 8.70/2.13 % (3360708)Time elapsed: 0.080 s
% 8.70/2.13 % (3360708)Peak memory usage: 88 MB
% 8.70/2.13 % (3360708)Instructions burned: 127 (million)
% 8.70/2.13 % (3360710)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3025554050:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 8.70/2.13 % (3360714)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2936472604:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 8.70/2.13 % (3360710)Instruction limit reached!
% 8.70/2.13 % (3360710)------------------------------
% 8.70/2.13 % (3360710)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.70/2.13 % (3360710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.70/2.13 % (3360710)CaDiCaL version: 2.1.3
% 8.70/2.13 % (3360710)Termination reason: Instruction limit
% 8.70/2.13 % (3360710)Termination phase: Saturation
% 8.70/2.13 % (3360710)Time elapsed: 0.110 s
% 8.70/2.13 % (3360710)Peak memory usage: 90 MB
% 8.70/2.13 % (3360710)Instructions burned: 157 (million)
% 8.70/2.13 % (3360715)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=782597604:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 8.70/2.13 % (3360707)------------------------------
% 8.70/2.13 % (3360707)------------------------------
% 8.70/2.13 % (3360715)Instruction limit reached!
% 8.70/2.13 % (3360715)------------------------------
% 8.70/2.13 % (3360715)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.70/2.13 % (3360715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.70/2.13 % (3360715)CaDiCaL version: 2.1.3
% 8.70/2.13 % (3360715)Termination reason: Instruction limit
% 8.70/2.13 % (3360715)Termination phase: Saturation
% 8.70/2.13 % (3360715)Time elapsed: 0.064 s
% 8.70/2.13 % (3360715)Peak memory usage: 88 MB
% 8.70/2.13 % (3360715)Instructions burned: 107 (million)
% 8.70/2.13 % (3360718)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=4286999239:i=107_2991 on theBenchmark for (2991ds/107Mi)
% 8.70/2.13 % (3360718)Refutation not found, incomplete strategy
% 8.70/2.13 % (3360718)------------------------------
% 8.70/2.13 % (3360718)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.70/2.13 % (3360718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.70/2.13 % (3360718)CaDiCaL version: 2.1.3
% 8.70/2.13 % (3360718)Termination reason: Refutation not found, incomplete strategy
% 8.70/2.13 % (3360718)Time elapsed: 0.014 s
% 8.70/2.13 % (3360718)Peak memory usage: 88 MB
% 8.70/2.13 % (3360718)Instructions burned: 20 (million)
% 8.70/2.13 % (3360689)First to succeed.
% 8.70/2.13 % (3360689)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3360684"
% 8.70/2.13 % (3360720)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=4204911581:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2991 on theBenchmark for (2991ds/242Mi)
% 8.70/2.13 % (3360720)Refutation not found, incomplete strategy
% 8.70/2.13 % (3360720)------------------------------
% 8.70/2.13 % (3360720)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.70/2.13 % (3360720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.70/2.13 % (3360720)CaDiCaL version: 2.1.3
% 8.70/2.13 % (3360720)Termination reason: Refutation not found, incomplete strategy
% 8.70/2.13 % (3360720)Time elapsed: 0.010 s
% 8.70/2.13 % (3360720)Peak memory usage: 87 MB
% 8.70/2.13 % (3360720)Instructions burned: 15 (million)
% 8.70/2.13 % (3360721)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1844976114:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 8.70/2.13 % (3360718)------------------------------
% 8.70/2.13 % (3360718)------------------------------
% 8.70/2.13 % (3360689)Refutation found. Thanks to Tanya!
% 8.70/2.13 % SZS status Unsatisfiable for theBenchmark
% 8.70/2.13 % SZS output start Proof for theBenchmark
% See solution above
% 9.58/2.32 % (3360689)------------------------------
% 9.58/2.32 % (3360689)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.58/2.32 % (3360689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.58/2.32 % (3360689)CaDiCaL version: 2.1.3
% 9.58/2.32 % (3360689)Termination reason: Refutation
% 9.58/2.32 % (3360689)Time elapsed: 0.835 s
% 9.58/2.32 % (3360689)Peak memory usage: 130 MB
% 9.58/2.32 % (3360689)Instructions burned: 1222 (million)
% 9.58/2.32 % (3360689)------------------------------
% 9.58/2.32 % (3360689)------------------------------
% 9.58/2.32 % (3360684)Success in time 1.265 s
% 9.58/2.32 % Vampire exiting
%------------------------------------------------------------------------------