%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE152-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:40:30 AM UTC 2026
% Result : Unsatisfiable 107.68s 22.45s
% Output : Refutation 150.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 46
% Syntax : Number of formulae : 205 ( 83 unt; 27 def)
% Number of atoms : 444 ( 147 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 463 ( 224 ~; 219 |; 0 &)
% ( 20 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 22 ( 20 usr; 21 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 12 con; 0-4 aty)
% Number of variables : 90 ( 0 sgn 90 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : ifeq3(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f2,axiom,
! [X2,X0,X1] : ifeq2(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom_001) ).
fof(f3,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom_002) ).
fof(f4,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f5,axiom,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_associativity) ).
fof(f7,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence) ).
fof(f8,axiom,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_associativity) ).
fof(f9,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_right_identity) ).
fof(f10,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_left_identity) ).
fof(f11,axiom,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity1) ).
fof(f12,axiom,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity2) ).
fof(f13,axiom,
! [X0] : multiplication(zero,X0) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_annihilation) ).
fof(f14,plain,
! [X0] : zero = multiplication(zero,X0),
inference(reorient_equations,[],[f13]) ).
fof(f17,axiom,
! [X0] : addition(one,multiplication(star(X0),X0)) = star(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',star_unfold2) ).
fof(f18,plain,
! [X0] : star(X0) = addition(one,multiplication(star(X0),X0)),
inference(reorient_equations,[],[f17]) ).
fof(f23,axiom,
! [X0] : strong_iteration(X0) = addition(multiplication(X0,strong_iteration(X0)),one),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',infty_unfold1) ).
fof(f24,axiom,
! [X2,X0,X1] : ifeq(leq(X0,addition(multiplication(X1,X0),X2)),true,leq(X0,multiplication(strong_iteration(X1),X2)),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',infty_coinduction) ).
fof(f25,plain,
! [X2,X0,X1] : true = ifeq(leq(X0,addition(multiplication(X1,X0),X2)),true,leq(X0,multiplication(strong_iteration(X1),X2)),true),
inference(reorient_equations,[],[f24]) ).
fof(f26,axiom,
! [X0] : strong_iteration(X0) = addition(star(X0),multiplication(strong_iteration(X0),zero)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',isolation) ).
fof(f27,axiom,
! [X0,X1] : ifeq2(leq(X0,X1),true,addition(X0,X1),X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',order_1) ).
fof(f28,axiom,
! [X0,X1] : ifeq3(addition(X0,X1),X1,leq(X0,X1),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',order) ).
fof(f29,plain,
! [X0,X1] : true = ifeq3(addition(X0,X1),X1,leq(X0,X1),true),
inference(reorient_equations,[],[f28]) ).
fof(f30,negated_conjecture,
leq(multiplication(strong_iteration(multiplication(sK2_goals_X0,sK1_goals_X1)),sK2_goals_X0),multiplication(sK2_goals_X0,strong_iteration(multiplication(sK1_goals_X1,sK2_goals_X0)))) != true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f31,plain,
true != leq(multiplication(strong_iteration(multiplication(sK2_goals_X0,sK1_goals_X1)),sK2_goals_X0),multiplication(sK2_goals_X0,strong_iteration(multiplication(sK1_goals_X1,sK2_goals_X0)))),
inference(reorient_equations,[],[f30]) ).
fof(f32,definition,
sF0 = multiplication(sK2_goals_X0,sK1_goals_X1),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f33,plain,
multiplication(sK2_goals_X0,sK1_goals_X1) = sF0,
inference(reorient_equations,[],[f32]) ).
fof(f34,definition,
sF1 = strong_iteration(sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f35,plain,
strong_iteration(sF0) = sF1,
inference(reorient_equations,[],[f34]) ).
fof(f36,definition,
sF2 = multiplication(sF1,sK2_goals_X0),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f37,plain,
multiplication(sF1,sK2_goals_X0) = sF2,
inference(reorient_equations,[],[f36]) ).
fof(f38,definition,
sF3 = multiplication(sK1_goals_X1,sK2_goals_X0),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f39,plain,
multiplication(sK1_goals_X1,sK2_goals_X0) = sF3,
inference(reorient_equations,[],[f38]) ).
fof(f40,definition,
sF4 = strong_iteration(sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f41,plain,
strong_iteration(sF3) = sF4,
inference(reorient_equations,[],[f40]) ).
fof(f42,definition,
sF5 = multiplication(sK2_goals_X0,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f43,plain,
multiplication(sK2_goals_X0,sF4) = sF5,
inference(reorient_equations,[],[f42]) ).
fof(f44,definition,
sF6 = leq(sF2,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f45,plain,
leq(sF2,sF5) = sF6,
inference(reorient_equations,[],[f44]) ).
fof(f46,plain,
true != sF6,
inference(definition_folding,[],[f31,f45,f43,f41,f39,f37,f35,f33]) ).
fof(f48,definition,
( spl7_1
<=> leq(sF2,sF5) = sF6 ),
introduced(definition,[new_symbols(definition,[spl7_1])],[avatar_definition]) ).
fof(f50,plain,
( leq(sF2,sF5) = sF6
| ~ spl7_1 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f51,plain,
spl7_1,
inference(avatar_split_clause,[],[f45,f48]) ).
fof(f53,definition,
( spl7_2
<=> true = sF6 ),
introduced(definition,[new_symbols(definition,[spl7_2])],[avatar_definition]) ).
fof(f55,plain,
( true != sF6
| spl7_2 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f56,plain,
~ spl7_2,
inference(avatar_split_clause,[],[f46,f53]) ).
fof(f58,definition,
( spl7_3
<=> multiplication(sK2_goals_X0,sK1_goals_X1) = sF0 ),
introduced(definition,[new_symbols(definition,[spl7_3])],[avatar_definition]) ).
fof(f60,plain,
( multiplication(sK2_goals_X0,sK1_goals_X1) = sF0
| ~ spl7_3 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f61,plain,
spl7_3,
inference(avatar_split_clause,[],[f33,f58]) ).
fof(f63,definition,
( spl7_4
<=> multiplication(sK1_goals_X1,sK2_goals_X0) = sF3 ),
introduced(definition,[new_symbols(definition,[spl7_4])],[avatar_definition]) ).
fof(f65,plain,
( multiplication(sK1_goals_X1,sK2_goals_X0) = sF3
| ~ spl7_4 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f66,plain,
spl7_4,
inference(avatar_split_clause,[],[f39,f63]) ).
fof(f69,plain,
( ! [X0] : multiplication(sK1_goals_X1,addition(sK2_goals_X0,X0)) = addition(sF3,multiplication(sK1_goals_X1,X0))
| ~ spl7_4 ),
inference(superposition,[],[f11,f65]) ).
fof(f78,plain,
! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
inference(superposition,[],[f11,f9]) ).
fof(f81,definition,
( spl7_5
<=> multiplication(sK2_goals_X0,sF4) = sF5 ),
introduced(definition,[new_symbols(definition,[spl7_5])],[avatar_definition]) ).
fof(f83,plain,
( multiplication(sK2_goals_X0,sF4) = sF5
| ~ spl7_5 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f84,plain,
spl7_5,
inference(avatar_split_clause,[],[f43,f81]) ).
fof(f97,definition,
( spl7_6
<=> multiplication(sF1,sK2_goals_X0) = sF2 ),
introduced(definition,[new_symbols(definition,[spl7_6])],[avatar_definition]) ).
fof(f99,plain,
( multiplication(sF1,sK2_goals_X0) = sF2
| ~ spl7_6 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f100,plain,
spl7_6,
inference(avatar_split_clause,[],[f37,f97]) ).
fof(f105,definition,
( spl7_7
<=> strong_iteration(sF0) = sF1 ),
introduced(definition,[new_symbols(definition,[spl7_7])],[avatar_definition]) ).
fof(f107,plain,
( strong_iteration(sF0) = sF1
| ~ spl7_7 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f108,plain,
spl7_7,
inference(avatar_split_clause,[],[f35,f105]) ).
fof(f111,definition,
( spl7_8
<=> strong_iteration(sF3) = sF4 ),
introduced(definition,[new_symbols(definition,[spl7_8])],[avatar_definition]) ).
fof(f113,plain,
( strong_iteration(sF3) = sF4
| ~ spl7_8 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f114,plain,
spl7_8,
inference(avatar_split_clause,[],[f41,f111]) ).
fof(f124,plain,
! [X2,X0,X1] : true = ifeq(leq(X2,addition(X0,multiplication(X1,X2))),true,leq(X2,multiplication(strong_iteration(X1),X0)),true),
inference(superposition,[],[f25,f4]) ).
fof(f132,plain,
! [X0,X1] : ifeq2(leq(X1,X0),true,addition(X0,X1),X0) = X0,
inference(superposition,[],[f27,f4]) ).
fof(f134,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
inference(superposition,[],[f12,f10]) ).
fof(f188,plain,
( sF1 = addition(multiplication(sF0,sF1),one)
| ~ spl7_7 ),
inference(superposition,[],[f23,f107]) ).
fof(f189,plain,
( sF4 = addition(multiplication(sF3,sF4),one)
| ~ spl7_8 ),
inference(superposition,[],[f23,f113]) ).
fof(f199,plain,
( sF4 = addition(one,multiplication(sF3,sF4))
| ~ spl7_8 ),
inference(forward_demodulation,[],[f189,f4]) ).
fof(f200,plain,
( sF1 = addition(one,multiplication(sF0,sF1))
| ~ spl7_7 ),
inference(forward_demodulation,[],[f188,f4]) ).
fof(f259,plain,
( ! [X0] : multiplication(sF0,X0) = multiplication(sK2_goals_X0,multiplication(sK1_goals_X1,X0))
| ~ spl7_3 ),
inference(superposition,[],[f8,f60]) ).
fof(f261,plain,
( ! [X0] : multiplication(sF3,X0) = multiplication(sK1_goals_X1,multiplication(sK2_goals_X0,X0))
| ~ spl7_4 ),
inference(superposition,[],[f8,f65]) ).
fof(f355,plain,
( multiplication(sF3,sF4) = multiplication(sK1_goals_X1,sF5)
| ~ spl7_4
| ~ spl7_5 ),
inference(superposition,[],[f261,f83]) ).
fof(f356,plain,
( ! [X0] : multiplication(sF3,multiplication(sK1_goals_X1,X0)) = multiplication(sK1_goals_X1,multiplication(sF0,X0))
| ~ spl7_3
| ~ spl7_4 ),
inference(superposition,[],[f261,f259]) ).
fof(f359,plain,
( ! [X0] : multiplication(sF0,multiplication(sK2_goals_X0,X0)) = multiplication(sK2_goals_X0,multiplication(sF3,X0))
| ~ spl7_3
| ~ spl7_4 ),
inference(superposition,[],[f259,f261]) ).
fof(f457,plain,
! [X0,X1] : addition(star(X0),X1) = addition(one,addition(multiplication(star(X0),X0),X1)),
inference(superposition,[],[f5,f18]) ).
fof(f543,plain,
! [X0] : true = ifeq3(X0,X0,leq(X0,X0),true),
inference(superposition,[],[f29,f7]) ).
fof(f555,plain,
! [X0] : true = leq(X0,X0),
inference(forward_demodulation,[],[f543,f1]) ).
fof(f565,plain,
! [X2,X0,X1] : leq(X0,X0) = ifeq3(addition(X1,X2),X2,leq(X1,X2),leq(X0,X0)),
inference(superposition,[],[f29,f555]) ).
fof(f566,plain,
( ! [X0] : sF6 != leq(X0,X0)
| spl7_2 ),
inference(superposition,[],[f55,f555]) ).
fof(f873,plain,
( ! [X0,X1] : true = ifeq(leq(X0,addition(X1,multiplication(sF0,X0))),true,leq(X0,multiplication(sF1,X1)),true)
| ~ spl7_7 ),
inference(superposition,[],[f124,f107]) ).
fof(f874,plain,
( ! [X0,X1] : true = ifeq(leq(X0,addition(X1,multiplication(sF3,X0))),true,leq(X0,multiplication(sF4,X1)),true)
| ~ spl7_8 ),
inference(superposition,[],[f124,f113]) ).
fof(f1745,plain,
! [X0,X1] : addition(star(X0),multiplication(X1,X0)) = addition(one,multiplication(addition(star(X0),X1),X0)),
inference(superposition,[],[f457,f12]) ).
fof(f2462,definition,
( spl7_12
<=> multiplication(sF3,sF4) = multiplication(sK1_goals_X1,sF5) ),
introduced(definition,[new_symbols(definition,[spl7_12])],[avatar_definition]) ).
fof(f2464,plain,
( multiplication(sF3,sF4) = multiplication(sK1_goals_X1,sF5)
| ~ spl7_12 ),
inference(avatar_component_clause,[],[f2462]) ).
fof(f2465,plain,
( spl7_12
| ~ spl7_4
| ~ spl7_5 ),
inference(avatar_split_clause,[],[f355,f81,f63,f2462]) ).
fof(f2469,plain,
( ! [X0] : multiplication(sK1_goals_X1,addition(X0,sF5)) = addition(multiplication(sK1_goals_X1,X0),multiplication(sF3,sF4))
| ~ spl7_12 ),
inference(superposition,[],[f11,f2464]) ).
fof(f3228,plain,
! [X0] : addition(star(X0),multiplication(multiplication(strong_iteration(X0),zero),X0)) = addition(one,multiplication(strong_iteration(X0),X0)),
inference(superposition,[],[f1745,f26]) ).
fof(f3269,plain,
! [X0] : addition(one,multiplication(strong_iteration(X0),X0)) = addition(star(X0),multiplication(strong_iteration(X0),multiplication(zero,X0))),
inference(forward_demodulation,[],[f3228,f8]) ).
fof(f3280,plain,
! [X0] : addition(star(X0),multiplication(strong_iteration(X0),zero)) = addition(one,multiplication(strong_iteration(X0),X0)),
inference(forward_demodulation,[],[f3269,f14]) ).
fof(f3284,plain,
! [X0] : strong_iteration(X0) = addition(one,multiplication(strong_iteration(X0),X0)),
inference(forward_demodulation,[],[f3280,f26]) ).
fof(f3696,plain,
( sF4 = addition(one,multiplication(sF4,sF3))
| ~ spl7_8 ),
inference(superposition,[],[f3284,f113]) ).
fof(f3747,definition,
( spl7_19
<=> sF4 = addition(one,multiplication(sF3,sF4)) ),
introduced(definition,[new_symbols(definition,[spl7_19])],[avatar_definition]) ).
fof(f3749,plain,
( sF4 = addition(one,multiplication(sF3,sF4))
| ~ spl7_19 ),
inference(avatar_component_clause,[],[f3747]) ).
fof(f3750,plain,
( spl7_19
| ~ spl7_8 ),
inference(avatar_split_clause,[],[f199,f111,f3747]) ).
fof(f3754,plain,
( ! [X0] : multiplication(X0,sF4) = addition(X0,multiplication(X0,multiplication(sF3,sF4)))
| ~ spl7_19 ),
inference(superposition,[],[f78,f3749]) ).
fof(f3755,plain,
( ! [X0] : multiplication(sF4,X0) = addition(X0,multiplication(multiplication(sF3,sF4),X0))
| ~ spl7_19 ),
inference(superposition,[],[f134,f3749]) ).
fof(f3776,plain,
( ! [X0] : multiplication(sF4,X0) = addition(X0,multiplication(sF3,multiplication(sF4,X0)))
| ~ spl7_19 ),
inference(forward_demodulation,[],[f3755,f8]) ).
fof(f3813,definition,
( spl7_20
<=> sF1 = addition(one,multiplication(sF0,sF1)) ),
introduced(definition,[new_symbols(definition,[spl7_20])],[avatar_definition]) ).
fof(f3815,plain,
( sF1 = addition(one,multiplication(sF0,sF1))
| ~ spl7_20 ),
inference(avatar_component_clause,[],[f3813]) ).
fof(f3816,plain,
( spl7_20
| ~ spl7_7 ),
inference(avatar_split_clause,[],[f200,f105,f3813]) ).
fof(f3821,plain,
( ! [X0] : multiplication(sF1,X0) = addition(X0,multiplication(multiplication(sF0,sF1),X0))
| ~ spl7_20 ),
inference(superposition,[],[f134,f3815]) ).
fof(f3842,plain,
( ! [X0] : multiplication(sF1,X0) = addition(X0,multiplication(sF0,multiplication(sF1,X0)))
| ~ spl7_20 ),
inference(forward_demodulation,[],[f3821,f8]) ).
fof(f5715,definition,
( spl7_25
<=> sF4 = addition(one,multiplication(sF4,sF3)) ),
introduced(definition,[new_symbols(definition,[spl7_25])],[avatar_definition]) ).
fof(f5717,plain,
( sF4 = addition(one,multiplication(sF4,sF3))
| ~ spl7_25 ),
inference(avatar_component_clause,[],[f5715]) ).
fof(f5718,plain,
( spl7_25
| ~ spl7_8 ),
inference(avatar_split_clause,[],[f3696,f111,f5715]) ).
fof(f5723,plain,
( ! [X0] : multiplication(sF4,X0) = addition(X0,multiplication(multiplication(sF4,sF3),X0))
| ~ spl7_25 ),
inference(superposition,[],[f134,f5717]) ).
fof(f5753,plain,
( ! [X0] : multiplication(sF4,X0) = addition(X0,multiplication(sF4,multiplication(sF3,X0)))
| ~ spl7_25 ),
inference(forward_demodulation,[],[f5723,f8]) ).
fof(f7668,plain,
( ! [X0] : leq(X0,X0) = ifeq3(addition(sF2,sF5),sF5,sF6,leq(X0,X0))
| ~ spl7_1 ),
inference(superposition,[],[f565,f50]) ).
fof(f25091,plain,
( ! [X0] : multiplication(sF4,multiplication(sF3,X0)) = multiplication(sF3,addition(X0,multiplication(sF4,multiplication(sF3,X0))))
| ~ spl7_19 ),
inference(superposition,[],[f11,f3776]) ).
fof(f25218,plain,
( ! [X0] : multiplication(sF3,multiplication(sF4,X0)) = multiplication(sF4,multiplication(sF3,X0))
| ~ spl7_19
| ~ spl7_25 ),
inference(forward_demodulation,[],[f25091,f5753]) ).
fof(f26836,plain,
( sF2 = addition(sK2_goals_X0,multiplication(sF0,sF2))
| ~ spl7_6
| ~ spl7_20 ),
inference(superposition,[],[f3842,f99]) ).
fof(f26868,plain,
( multiplication(sK1_goals_X1,multiplication(sF1,sK2_goals_X0)) = addition(sF3,multiplication(sK1_goals_X1,multiplication(sF0,multiplication(sF1,sK2_goals_X0))))
| ~ spl7_4
| ~ spl7_20 ),
inference(superposition,[],[f69,f3842]) ).
fof(f26971,plain,
( multiplication(sK1_goals_X1,multiplication(sF1,sK2_goals_X0)) = addition(sF3,multiplication(sF3,multiplication(sK1_goals_X1,multiplication(sF1,sK2_goals_X0))))
| ~ spl7_3
| ~ spl7_4
| ~ spl7_20 ),
inference(forward_demodulation,[],[f26868,f356]) ).
fof(f27021,plain,
( multiplication(sK1_goals_X1,sF2) = addition(sF3,multiplication(sF3,multiplication(sK1_goals_X1,sF2)))
| ~ spl7_3
| ~ spl7_4
| ~ spl7_6
| ~ spl7_20 ),
inference(forward_demodulation,[],[f26971,f99]) ).
fof(f27277,definition,
( spl7_65
<=> sF2 = addition(sK2_goals_X0,multiplication(sF0,sF2)) ),
introduced(definition,[new_symbols(definition,[spl7_65])],[avatar_definition]) ).
fof(f27279,plain,
( sF2 = addition(sK2_goals_X0,multiplication(sF0,sF2))
| ~ spl7_65 ),
inference(avatar_component_clause,[],[f27277]) ).
fof(f27280,plain,
( spl7_65
| ~ spl7_6
| ~ spl7_20 ),
inference(avatar_split_clause,[],[f26836,f3813,f97,f27277]) ).
fof(f38873,plain,
( multiplication(sF4,sF3) = multiplication(sF3,multiplication(sF4,one))
| ~ spl7_19
| ~ spl7_25 ),
inference(superposition,[],[f25218,f9]) ).
fof(f38998,plain,
( multiplication(sF3,sF4) = multiplication(sF4,sF3)
| ~ spl7_19
| ~ spl7_25 ),
inference(forward_demodulation,[],[f38873,f9]) ).
fof(f39100,definition,
( spl7_71
<=> multiplication(sF3,sF4) = multiplication(sF4,sF3) ),
introduced(definition,[new_symbols(definition,[spl7_71])],[avatar_definition]) ).
fof(f39102,plain,
( multiplication(sF3,sF4) = multiplication(sF4,sF3)
| ~ spl7_71 ),
inference(avatar_component_clause,[],[f39100]) ).
fof(f39103,plain,
( spl7_71
| ~ spl7_19
| ~ spl7_25 ),
inference(avatar_split_clause,[],[f38998,f5715,f3747,f39100]) ).
fof(f85202,plain,
( multiplication(sK2_goals_X0,sF4) = addition(sK2_goals_X0,multiplication(sF0,multiplication(sK2_goals_X0,sF4)))
| ~ spl7_3
| ~ spl7_4
| ~ spl7_19 ),
inference(superposition,[],[f3754,f359]) ).
fof(f85326,plain,
( sF5 = addition(sK2_goals_X0,multiplication(sF0,sF5))
| ~ spl7_3
| ~ spl7_4
| ~ spl7_5
| ~ spl7_19 ),
inference(forward_demodulation,[],[f85202,f83]) ).
fof(f85511,definition,
( spl7_104
<=> sF5 = addition(sK2_goals_X0,multiplication(sF0,sF5)) ),
introduced(definition,[new_symbols(definition,[spl7_104])],[avatar_definition]) ).
fof(f85513,plain,
( sF5 = addition(sK2_goals_X0,multiplication(sF0,sF5))
| ~ spl7_104 ),
inference(avatar_component_clause,[],[f85511]) ).
fof(f85514,plain,
( spl7_104
| ~ spl7_3
| ~ spl7_4
| ~ spl7_5
| ~ spl7_19 ),
inference(avatar_split_clause,[],[f85326,f3747,f81,f63,f58,f85511]) ).
fof(f85516,plain,
( true = ifeq(leq(sF5,sF5),true,leq(sF5,multiplication(sF1,sK2_goals_X0)),true)
| ~ spl7_7
| ~ spl7_104 ),
inference(superposition,[],[f873,f85513]) ).
fof(f85632,plain,
( true = ifeq(leq(sF5,sF5),true,leq(sF5,sF2),true)
| ~ spl7_6
| ~ spl7_7
| ~ spl7_104 ),
inference(forward_demodulation,[],[f85516,f99]) ).
fof(f85640,plain,
( true = ifeq(true,true,leq(sF5,sF2),true)
| ~ spl7_6
| ~ spl7_7
| ~ spl7_104 ),
inference(forward_demodulation,[],[f85632,f555]) ).
fof(f85643,plain,
( true = leq(sF5,sF2)
| ~ spl7_6
| ~ spl7_7
| ~ spl7_104 ),
inference(forward_demodulation,[],[f85640,f3]) ).
fof(f85646,definition,
( spl7_105
<=> true = leq(sF5,sF2) ),
introduced(definition,[new_symbols(definition,[spl7_105])],[avatar_definition]) ).
fof(f85648,plain,
( true = leq(sF5,sF2)
| ~ spl7_105 ),
inference(avatar_component_clause,[],[f85646]) ).
fof(f85649,plain,
( spl7_105
| ~ spl7_6
| ~ spl7_7
| ~ spl7_104 ),
inference(avatar_split_clause,[],[f85643,f85511,f105,f97,f85646]) ).
fof(f85652,plain,
( sF2 = ifeq2(true,true,addition(sF2,sF5),sF2)
| ~ spl7_105 ),
inference(superposition,[],[f132,f85648]) ).
fof(f85661,plain,
( sF2 = addition(sF2,sF5)
| ~ spl7_105 ),
inference(forward_demodulation,[],[f85652,f2]) ).
fof(f85666,plain,
( ! [X0] : leq(X0,X0) = ifeq3(sF2,sF5,sF6,leq(X0,X0))
| ~ spl7_1
| ~ spl7_105 ),
inference(backward_demodulation,[],[f7668,f85661]) ).
fof(f85678,definition,
( spl7_106
<=> sF2 = addition(sF2,sF5) ),
introduced(definition,[new_symbols(definition,[spl7_106])],[avatar_definition]) ).
fof(f85680,plain,
( sF2 = addition(sF2,sF5)
| ~ spl7_106 ),
inference(avatar_component_clause,[],[f85678]) ).
fof(f85681,plain,
( spl7_106
| ~ spl7_105 ),
inference(avatar_split_clause,[],[f85661,f85646,f85678]) ).
fof(f99114,definition,
( spl7_114
<=> multiplication(sK1_goals_X1,sF2) = addition(sF3,multiplication(sF3,multiplication(sK1_goals_X1,sF2))) ),
introduced(definition,[new_symbols(definition,[spl7_114])],[avatar_definition]) ).
fof(f99116,plain,
( multiplication(sK1_goals_X1,sF2) = addition(sF3,multiplication(sF3,multiplication(sK1_goals_X1,sF2)))
| ~ spl7_114 ),
inference(avatar_component_clause,[],[f99114]) ).
fof(f99117,plain,
( spl7_114
| ~ spl7_3
| ~ spl7_4
| ~ spl7_6
| ~ spl7_20 ),
inference(avatar_split_clause,[],[f27021,f3813,f97,f63,f58,f99114]) ).
fof(f99118,plain,
( true = ifeq(leq(multiplication(sK1_goals_X1,sF2),multiplication(sK1_goals_X1,sF2)),true,leq(multiplication(sK1_goals_X1,sF2),multiplication(sF4,sF3)),true)
| ~ spl7_8
| ~ spl7_114 ),
inference(superposition,[],[f874,f99116]) ).
fof(f99250,plain,
( true = ifeq(leq(multiplication(sK1_goals_X1,sF2),multiplication(sK1_goals_X1,sF2)),true,leq(multiplication(sK1_goals_X1,sF2),multiplication(sF3,sF4)),true)
| ~ spl7_8
| ~ spl7_71
| ~ spl7_114 ),
inference(forward_demodulation,[],[f99118,f39102]) ).
fof(f99274,plain,
( true = ifeq(true,true,leq(multiplication(sK1_goals_X1,sF2),multiplication(sF3,sF4)),true)
| ~ spl7_8
| ~ spl7_71
| ~ spl7_114 ),
inference(forward_demodulation,[],[f99250,f555]) ).
fof(f99292,plain,
( true = leq(multiplication(sK1_goals_X1,sF2),multiplication(sF3,sF4))
| ~ spl7_8
| ~ spl7_71
| ~ spl7_114 ),
inference(forward_demodulation,[],[f99274,f3]) ).
fof(f154356,definition,
( spl7_149
<=> true = leq(multiplication(sK1_goals_X1,sF2),multiplication(sF3,sF4)) ),
introduced(definition,[new_symbols(definition,[spl7_149])],[avatar_definition]) ).
fof(f154358,plain,
( true = leq(multiplication(sK1_goals_X1,sF2),multiplication(sF3,sF4))
| ~ spl7_149 ),
inference(avatar_component_clause,[],[f154356]) ).
fof(f154359,plain,
( spl7_149
| ~ spl7_8
| ~ spl7_71
| ~ spl7_114 ),
inference(avatar_split_clause,[],[f99292,f99114,f39100,f111,f154356]) ).
fof(f154360,plain,
( multiplication(sF3,sF4) = ifeq2(true,true,addition(multiplication(sK1_goals_X1,sF2),multiplication(sF3,sF4)),multiplication(sF3,sF4))
| ~ spl7_149 ),
inference(superposition,[],[f27,f154358]) ).
fof(f154376,plain,
( multiplication(sF3,sF4) = addition(multiplication(sK1_goals_X1,sF2),multiplication(sF3,sF4))
| ~ spl7_149 ),
inference(forward_demodulation,[],[f154360,f2]) ).
fof(f154384,plain,
( multiplication(sF3,sF4) = multiplication(sK1_goals_X1,addition(sF2,sF5))
| ~ spl7_12
| ~ spl7_149 ),
inference(forward_demodulation,[],[f154376,f2469]) ).
fof(f154389,plain,
( multiplication(sF3,sF4) = multiplication(sK1_goals_X1,sF2)
| ~ spl7_12
| ~ spl7_106
| ~ spl7_149 ),
inference(forward_demodulation,[],[f154384,f85680]) ).
fof(f154583,definition,
( spl7_150
<=> multiplication(sF3,sF4) = multiplication(sK1_goals_X1,sF2) ),
introduced(definition,[new_symbols(definition,[spl7_150])],[avatar_definition]) ).
fof(f154585,plain,
( multiplication(sF3,sF4) = multiplication(sK1_goals_X1,sF2)
| ~ spl7_150 ),
inference(avatar_component_clause,[],[f154583]) ).
fof(f154586,plain,
( spl7_150
| ~ spl7_12
| ~ spl7_106
| ~ spl7_149 ),
inference(avatar_split_clause,[],[f154389,f154356,f85678,f2462,f154583]) ).
fof(f154592,plain,
( multiplication(sK2_goals_X0,multiplication(sF3,sF4)) = multiplication(sF0,sF2)
| ~ spl7_3
| ~ spl7_150 ),
inference(superposition,[],[f259,f154585]) ).
fof(f154697,plain,
( multiplication(sF0,multiplication(sK2_goals_X0,sF4)) = multiplication(sF0,sF2)
| ~ spl7_3
| ~ spl7_4
| ~ spl7_150 ),
inference(forward_demodulation,[],[f154592,f359]) ).
fof(f154849,plain,
( multiplication(sF0,sF5) = multiplication(sF0,sF2)
| ~ spl7_3
| ~ spl7_4
| ~ spl7_5
| ~ spl7_150 ),
inference(forward_demodulation,[],[f154697,f83]) ).
fof(f155002,plain,
( sF5 = addition(sK2_goals_X0,multiplication(sF0,sF2))
| ~ spl7_3
| ~ spl7_4
| ~ spl7_5
| ~ spl7_104
| ~ spl7_150 ),
inference(backward_demodulation,[],[f85513,f154849]) ).
fof(f155133,plain,
( sF2 = sF5
| ~ spl7_3
| ~ spl7_4
| ~ spl7_5
| ~ spl7_65
| ~ spl7_104
| ~ spl7_150 ),
inference(forward_demodulation,[],[f155002,f27279]) ).
fof(f156126,plain,
( ! [X0] : leq(X0,X0) = ifeq3(sF2,sF2,sF6,leq(X0,X0))
| ~ spl7_1
| ~ spl7_3
| ~ spl7_4
| ~ spl7_5
| ~ spl7_65
| ~ spl7_104
| ~ spl7_105
| ~ spl7_150 ),
inference(backward_demodulation,[],[f85666,f155133]) ).
fof(f157396,plain,
( ! [X0] : sF6 = leq(X0,X0)
| ~ spl7_1
| ~ spl7_3
| ~ spl7_4
| ~ spl7_5
| ~ spl7_65
| ~ spl7_104
| ~ spl7_105
| ~ spl7_150 ),
inference(forward_demodulation,[],[f156126,f1]) ).
fof(f157463,plain,
( $false
| ~ spl7_1
| spl7_2
| ~ spl7_3
| ~ spl7_4
| ~ spl7_5
| ~ spl7_65
| ~ spl7_104
| ~ spl7_105
| ~ spl7_150 ),
inference(forward_subsumption_resolution,[],[f157396,f566]) ).
fof(f157464,plain,
( ~ spl7_1
| spl7_2
| ~ spl7_3
| ~ spl7_4
| ~ spl7_5
| ~ spl7_65
| ~ spl7_104
| ~ spl7_105
| ~ spl7_150 ),
inference(avatar_contradiction_clause,[],[f157463]) ).
cnf(s1,plain,
spl7_1,
inference(sat_conversion,[],[f51]) ).
cnf(s2,plain,
~ spl7_2,
inference(sat_conversion,[],[f56]) ).
cnf(s3,plain,
spl7_3,
inference(sat_conversion,[],[f61]) ).
cnf(s4,plain,
spl7_4,
inference(sat_conversion,[],[f66]) ).
cnf(s5,plain,
spl7_5,
inference(sat_conversion,[],[f84]) ).
cnf(s6,plain,
spl7_6,
inference(sat_conversion,[],[f100]) ).
cnf(s7,plain,
spl7_7,
inference(sat_conversion,[],[f108]) ).
cnf(s8,plain,
spl7_8,
inference(sat_conversion,[],[f114]) ).
cnf(s12,plain,
( ~ spl7_4
| ~ spl7_5
| spl7_12 ),
inference(sat_conversion,[],[f2465]) ).
cnf(s19,plain,
( ~ spl7_8
| spl7_19 ),
inference(sat_conversion,[],[f3750]) ).
cnf(s20,plain,
( ~ spl7_7
| spl7_20 ),
inference(sat_conversion,[],[f3816]) ).
cnf(s25,plain,
( ~ spl7_8
| spl7_25 ),
inference(sat_conversion,[],[f5718]) ).
cnf(s65,plain,
( ~ spl7_6
| ~ spl7_20
| spl7_65 ),
inference(sat_conversion,[],[f27280]) ).
cnf(s71,plain,
( ~ spl7_19
| ~ spl7_25
| spl7_71 ),
inference(sat_conversion,[],[f39103]) ).
cnf(s104,plain,
( ~ spl7_3
| ~ spl7_4
| ~ spl7_5
| ~ spl7_19
| spl7_104 ),
inference(sat_conversion,[],[f85514]) ).
cnf(s105,plain,
( ~ spl7_6
| ~ spl7_7
| ~ spl7_104
| spl7_105 ),
inference(sat_conversion,[],[f85649]) ).
cnf(s106,plain,
( ~ spl7_105
| spl7_106 ),
inference(sat_conversion,[],[f85681]) ).
cnf(s114,plain,
( ~ spl7_3
| ~ spl7_4
| ~ spl7_6
| ~ spl7_20
| spl7_114 ),
inference(sat_conversion,[],[f99117]) ).
cnf(s149,plain,
( ~ spl7_8
| ~ spl7_71
| ~ spl7_114
| spl7_149 ),
inference(sat_conversion,[],[f154359]) ).
cnf(s150,plain,
( ~ spl7_12
| ~ spl7_106
| ~ spl7_149
| spl7_150 ),
inference(sat_conversion,[],[f154586]) ).
cnf(s153,plain,
( ~ spl7_1
| spl7_2
| ~ spl7_3
| ~ spl7_4
| ~ spl7_5
| ~ spl7_65
| ~ spl7_104
| ~ spl7_105
| ~ spl7_150 ),
inference(sat_conversion,[],[f157464]) ).
cnf(s169,plain,
spl7_25,
inference(rat,[],[s25,s8]) ).
cnf(s171,plain,
spl7_19,
inference(rat,[],[s19,s8]) ).
cnf(s175,plain,
spl7_71,
inference(rat,[],[s71,s169,s171]) ).
cnf(s201,plain,
spl7_20,
inference(rat,[],[s20,s7]) ).
cnf(s225,plain,
spl7_65,
inference(rat,[],[s65,s201,s6]) ).
cnf(s258,plain,
spl7_12,
inference(rat,[],[s12,s5,s4]) ).
cnf(s268,plain,
spl7_114,
inference(rat,[],[s114,s4,s201,s6,s3]) ).
cnf(s269,plain,
spl7_104,
inference(rat,[],[s104,s4,s171,s5,s3]) ).
cnf(s277,plain,
spl7_149,
inference(rat,[],[s149,s175,s8,s268]) ).
cnf(s278,plain,
spl7_105,
inference(rat,[],[s105,s6,s7,s269]) ).
cnf(s284,plain,
spl7_106,
inference(rat,[],[s106,s278]) ).
cnf(s287,plain,
spl7_150,
inference(rat,[],[s150,s277,s258,s284]) ).
cnf(s291,plain,
~ spl7_1,
inference(rat,[],[s153,s287,s278,s269,s225,s5,s4,s3,s2]) ).
cnf(s293,plain,
$false,
inference(rat,[],[s1,s291]) ).
fof(f157486,plain,
$false,
inference(avatar_sat_refutation,[],[s293]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : KLE152-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.10 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.22/0.49 % Computer : n016.cluster.edu
% 0.22/0.49 % Model : x86_64 x86_64
% 0.22/0.49 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.22/0.49 % Memory : 8046.5625MB
% 0.22/0.49 % OS : Linux 6.8.0-71-generic
% 0.22/0.49 % CPULimit : 300
% 0.22/0.49 % WCLimit : 300
% 0.22/0.49 % DateTime : Sun Sep 27 13:17:32 UTC 2026
% 0.27/0.50 % CPUTime :
% 0.27/0.50 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.27/0.56 Running first-order theorem proving
% 0.27/0.56 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 87.17/13.55 % (2636959)Detected a unit-equality problem, will run specialized UEQ schedule.
% 87.17/13.55 % (2636969)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=1091793334:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 87.17/13.55 % (2636966)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=1292303272:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 87.17/13.55 % (2636965)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3624783016:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 87.17/13.55 % (2636964)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=4195527807:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 87.17/13.55 % (2636968)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=1659109608:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 87.17/13.55 % (2636967)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=89230330:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 87.17/13.55 % (2636970)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=58300125:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 87.17/13.55 % (2636969)Instruction limit reached!
% 87.17/13.55 % (2636969)------------------------------
% 87.17/13.55 % (2636969)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 87.17/13.55 % (2636969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 87.17/13.55 % (2636969)CaDiCaL version: 2.1.3
% 87.17/13.55 % (2636969)Termination reason: Instruction limit
% 87.17/13.55 % (2636969)Termination phase: Saturation
% 87.17/13.55 % (2636969)Time elapsed: 0.145 s
% 87.17/13.55 % (2636969)Peak memory usage: 90 MB
% 87.17/13.55 % (2636969)Instructions burned: 257 (million)
% 87.17/13.55 % (2636967)Instruction limit reached!
% 87.17/13.55 % (2636967)------------------------------
% 87.17/13.55 % (2636967)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 87.17/13.55 % (2636967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 87.17/13.55 % (2636967)CaDiCaL version: 2.1.3
% 87.17/13.55 % (2636967)Termination reason: Instruction limit
% 87.17/13.55 % (2636967)Termination phase: Saturation
% 87.17/13.55 % (2636967)Time elapsed: 0.145 s
% 87.17/13.55 % (2636967)Peak memory usage: 89 MB
% 87.17/13.55 % (2636967)Instructions burned: 136 (million)
% 87.17/13.55 % (2636968)Instruction limit reached!
% 87.17/13.55 % (2636968)------------------------------
% 87.17/13.55 % (2636968)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 87.17/13.55 % (2636968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 87.17/13.55 % (2636968)CaDiCaL version: 2.1.3
% 87.17/13.55 % (2636968)Termination reason: Instruction limit
% 87.17/13.55 % (2636968)Termination phase: Saturation
% 87.17/13.55 % (2636968)Time elapsed: 0.178 s
% 87.17/13.55 % (2636968)Peak memory usage: 89 MB
% 87.17/13.55 % (2636968)Instructions burned: 181 (million)
% 87.17/13.55 % (2636978)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=446635820:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2996 on theBenchmark for (2996ds/2051Mi)
% 87.17/13.55 % (2636979)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2009111363:i=4948:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/4948Mi)
% 87.17/13.55 % (2636980)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=539417145:i=215:ep=RSTC_2995 on theBenchmark for (2995ds/215Mi)
% 87.17/13.55 % (2636980)Instruction limit reached!
% 87.17/13.55 % (2636980)------------------------------
% 87.17/13.55 % (2636980)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 87.17/13.55 % (2636980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 87.17/13.55 % (2636980)CaDiCaL version: 2.1.3
% 87.17/13.55 % (2636980)Termination reason: Instruction limit
% 87.17/13.55 % (2636980)Termination phase: Saturation
% 87.17/13.55 % (2636980)Time elapsed: 0.121 s
% 146.29/21.85 % (2636980)Peak memory usage: 91 MB
% 146.29/21.85 % (2636980)Instructions burned: 216 (million)
% 146.29/21.85 % (2636992)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=3519653481:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2993 on theBenchmark for (2993ds/317Mi)
% 146.29/21.85 % (2636970)Instruction limit reached!
% 146.29/21.85 % (2636970)------------------------------
% 146.29/21.85 % (2636970)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 146.29/21.85 % (2636970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 146.29/21.85 % (2636970)CaDiCaL version: 2.1.3
% 146.29/21.85 % (2636970)Termination reason: Instruction limit
% 146.29/21.85 % (2636970)Termination phase: Saturation
% 146.29/21.85 % (2636970)Time elapsed: 0.758 s
% 146.29/21.85 % (2636970)Peak memory usage: 102 MB
% 146.29/21.85 % (2636970)Instructions burned: 1187 (million)
% 146.29/21.85 % (2636992)Instruction limit reached!
% 146.29/21.85 % (2636992)------------------------------
% 146.29/21.85 % (2636992)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 146.29/21.85 % (2636992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 146.29/21.85 % (2636992)CaDiCaL version: 2.1.3
% 146.29/21.85 % (2636992)Termination reason: Instruction limit
% 146.29/21.85 % (2636992)Termination phase: Saturation
% 146.29/21.85 % (2636992)Time elapsed: 0.210 s
% 146.29/21.85 % (2636992)Peak memory usage: 94 MB
% 146.29/21.85 % (2636992)Instructions burned: 318 (million)
% 146.29/21.85 % (2637096)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:sp=arity:lcm=predicate:urr=on:s2agt=16:br=off:random_seed=4012490173:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2989 on theBenchmark for (2989ds/12125Mi)
% 146.29/21.85 % (2637105)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=2583626298:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2989 on theBenchmark for (2989ds/2836Mi)
% 146.29/21.85 % (2636978)Instruction limit reached!
% 146.29/21.85 % (2636978)------------------------------
% 146.29/21.85 % (2636978)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 146.29/21.85 % (2636978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 146.29/21.85 % (2636978)CaDiCaL version: 2.1.3
% 146.29/21.85 % (2636978)Termination reason: Instruction limit
% 146.29/21.85 % (2636978)Termination phase: Saturation
% 146.29/21.85 % (2636978)Time elapsed: 0.719 s
% 146.29/21.85 % (2636978)Peak memory usage: 143 MB
% 146.29/21.85 % (2636978)Instructions burned: 2054 (million)
% 146.29/21.85 % (2637142)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=1591874678:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2987 on theBenchmark for (2987ds/14534Mi)
% 146.29/21.85 % (2637105)Instruction limit reached!
% 146.29/21.85 % (2637105)------------------------------
% 146.29/21.85 % (2637105)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 146.29/21.85 % (2637105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 146.29/21.85 % (2637105)CaDiCaL version: 2.1.3
% 146.29/21.85 % (2637105)Termination reason: Instruction limit
% 146.29/21.85 % (2637105)Termination phase: Saturation
% 146.29/21.85 % (2637105)Time elapsed: 1.976 s
% 146.29/21.85 % (2637105)Peak memory usage: 140 MB
% 146.29/21.85 % (2637105)Instructions burned: 2836 (million)
% 146.29/21.85 % (2637144)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:sas=cadical:sp=reverse_frequency:bsr=on:alpa=false:sac=on:random_seed=2837185803:i=11832:s2at=3:bs=on:bd=preordered:fsd=on_2968 on theBenchmark for (2968ds/11832Mi)
% 146.29/21.85 % (2636979)Instruction limit reached!
% 146.29/21.85 % (2636979)------------------------------
% 146.29/21.85 % (2636979)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 146.29/21.85 % (2636979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 146.29/21.85 % (2636979)CaDiCaL version: 2.1.3
% 146.29/21.85 % (2636979)Termination reason: Instruction limit
% 146.29/21.85 % (2636979)Termination phase: Saturation
% 146.29/21.85 % (2636979)Time elapsed: 2.933 s
% 146.29/21.85 % (2636979)Peak memory usage: 169 MB
% 146.29/21.85 % (2636979)Instructions burned: 4949 (million)
% 146.29/21.85 % (2637146)lrs+10_1_to=lpo:ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:drc=off:fde=unused:sp=const_min:spb=goal:fd=preordered:random_seed=2844935429:i=2279:fgj=on:bd=all_2965 on theBenchmark for (2965ds/2279Mi)
% 146.29/21.85 % (2637146)Instruction limit reached!
% 146.29/21.85 % (2637146)------------------------------
% 107.68/22.45 % (2637146)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 107.68/22.45 % (2637146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 107.68/22.45 % (2637146)CaDiCaL version: 2.1.3
% 107.68/22.45 % (2637146)Termination reason: Instruction limit
% 107.68/22.45 % (2637146)Termination phase: Saturation
% 107.68/22.45 % (2637146)Time elapsed: 1.390 s
% 107.68/22.45 % (2637146)Peak memory usage: 142 MB
% 107.68/22.45 % (2637146)Instructions burned: 2279 (million)
% 107.68/22.45 % (2637148)lrs-1010_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:drc=off:fde=none:sp=reverse_arity:urr=ec_only:gs=on:s2agt=16:random_seed=3943700260:st=3:i=6225:bd=all:gtg=exists_all:ss=included:er=filter:sgt=10_2949 on theBenchmark for (2949ds/6225Mi)
% 107.68/22.45 % (2637096)Instruction limit reached!
% 107.68/22.45 % (2637096)------------------------------
% 107.68/22.45 % (2637096)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 107.68/22.45 % (2637096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 107.68/22.45 % (2637096)CaDiCaL version: 2.1.3
% 107.68/22.45 % (2637096)Termination reason: Instruction limit
% 107.68/22.45 % (2637096)Termination phase: Saturation
% 107.68/22.45 % (2637096)Time elapsed: 4.095 s
% 107.68/22.45 % (2637096)Peak memory usage: 246 MB
% 107.68/22.45 % (2637096)Instructions burned: 12125 (million)
% 107.68/22.45 % (2637150)lrs-1010_1_sil=32000:tgt=ground:etr=on:sp=const_frequency:spb=goal_then_units:rnwc=on:lwlo=on:random_seed=948326574:lrd=on:i=21755:kws=frequency:fgj=on:bd=preordered:nm=4:ins=20:av=off_2947 on theBenchmark for (2947ds/21755Mi)
% 107.68/22.45 % (2637148)Instruction limit reached!
% 107.68/22.45 % (2637148)------------------------------
% 107.68/22.45 % (2637148)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 107.68/22.45 % (2637148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 107.68/22.45 % (2637148)CaDiCaL version: 2.1.3
% 107.68/22.45 % (2637148)Termination reason: Instruction limit
% 107.68/22.45 % (2637148)Termination phase: Saturation
% 107.68/22.45 % (2637148)Time elapsed: 3.622 s
% 107.68/22.45 % (2637148)Peak memory usage: 174 MB
% 107.68/22.45 % (2637148)Instructions burned: 6225 (million)
% 107.68/22.45 % (2637152)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:flr=on:random_seed=3739402341:s2pl=no:i=16427:s2at=1.5:bd=all:fsr=off_2911 on theBenchmark for (2911ds/16427Mi)
% 107.68/22.45 % (2637142)Instruction limit reached!
% 107.68/22.45 % (2637142)------------------------------
% 107.68/22.45 % (2637142)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 107.68/22.45 % (2637142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 107.68/22.45 % (2637142)CaDiCaL version: 2.1.3
% 107.68/22.45 % (2637142)Termination reason: Instruction limit
% 107.68/22.45 % (2637142)Termination phase: Saturation
% 107.68/22.45 % (2637142)Time elapsed: 8.842 s
% 107.68/22.45 % (2637142)Peak memory usage: 255 MB
% 107.68/22.45 % (2637142)Instructions burned: 14534 (million)
% 107.68/22.45 % (2637154)lrs+1011_1_to=lpo:ncem=casc2026/models/loop7.pt:sil=32000:npcc=on:drc=off:fde=none:sp=const_frequency:spb=goal:fd=preordered:random_seed=3509651088:i=9356:fgj=on:bd=preordered:av=off_2898 on theBenchmark for (2898ds/9356Mi)
% 107.68/22.45 % (2637144)Instruction limit reached!
% 107.68/22.45 % (2637144)------------------------------
% 107.68/22.45 % (2637144)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 107.68/22.45 % (2637144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 107.68/22.45 % (2637144)CaDiCaL version: 2.1.3
% 107.68/22.45 % (2637144)Termination reason: Instruction limit
% 107.68/22.45 % (2637144)Termination phase: Saturation
% 107.68/22.45 % (2637144)Time elapsed: 7.484 s
% 107.68/22.45 % (2637144)Peak memory usage: 233 MB
% 107.68/22.45 % (2637144)Instructions burned: 11832 (million)
% 107.68/22.45 % (2637156)dis+10_6_sil=8000:tgt=ground:prc=on:drc=ordering:spb=non_intro:fd=preordered:foolp=on:slsqc=1:slsq=on:random_seed=3191320860:i=2070:kws=inv_precedence:slsql=off:bd=all_2892 on theBenchmark for (2892ds/2070Mi)
% 107.68/22.45 % (2637156)Instruction limit reached!
% 107.68/22.45 % (2637156)------------------------------
% 107.68/22.45 % (2637156)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 107.68/22.45 % (2637156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 107.68/22.45 % (2637156)CaDiCaL version: 2.1.3
% 107.68/22.45 % (2637156)Termination reason: Instruction limit
% 107.68/22.45 % (2637156)Termination phase: Saturation
% 107.68/22.45 % (2637156)Time elapsed: 1.291 s
% 107.68/22.45 % (2637156)Peak memory usage: 131 MB
% 107.68/22.45 % (2637156)Instructions burned: 2070 (million)
% 107.68/22.45 % (2637159)lrs+1002_1_to=lpo:ncem=casc2026/models/loop4.pt:sil=8000:tgt=ground:npcc=on:fde=unused:sp=const_min:urr=ec_only:s2agt=32:random_seed=2669977151:st=3:i=6461:fgj=on:bd=preordered:av=off:ss=axioms_2877 on theBenchmark for (2877ds/6461Mi)
% 107.68/22.45 % (2637150)Instruction limit reached!
% 107.68/22.45 % (2637150)------------------------------
% 107.68/22.45 % (2637150)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 107.68/22.45 % (2637150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 107.68/22.45 % (2637150)CaDiCaL version: 2.1.3
% 107.68/22.45 % (2637150)Termination reason: Instruction limit
% 107.68/22.45 % (2637150)Termination phase: Saturation
% 107.68/22.45 % (2637150)Time elapsed: 8.630 s
% 107.68/22.45 % (2637150)Peak memory usage: 293 MB
% 107.68/22.45 % (2637150)Instructions burned: 21756 (million)
% 107.68/22.45 % (2637425)lrs+10_6_to=lpo:lpd=off:sil=8000:tgt=ground:drc=off:sp=arity:spb=goal:fd=preordered:random_seed=1644383357:i=2310:bd=all:ss=included_2860 on theBenchmark for (2860ds/2310Mi)
% 107.68/22.45 % (2637425)Instruction limit reached!
% 107.68/22.45 % (2637425)------------------------------
% 107.68/22.45 % (2637425)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 107.68/22.45 % (2637425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 107.68/22.45 % (2637425)CaDiCaL version: 2.1.3
% 107.68/22.45 % (2637425)Termination reason: Instruction limit
% 107.68/22.45 % (2637425)Termination phase: Saturation
% 107.68/22.45 % (2637425)Time elapsed: 1.348 s
% 107.68/22.45 % (2637425)Peak memory usage: 116 MB
% 107.68/22.45 % (2637425)Instructions burned: 2310 (million)
% 107.68/22.45 % (2637427)dis+11_1_sil=8000:fd=off:nwc=20:random_seed=3612290258:st=3:s2pl=on:i=2616:av=off:fsr=off:ss=axioms:sgt=8_2845 on theBenchmark for (2845ds/2616Mi)
% 107.68/22.45 % (2637427)Instruction limit reached!
% 107.68/22.45 % (2637427)------------------------------
% 107.68/22.45 % (2637427)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 107.68/22.45 % (2637427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 107.68/22.45 % (2637427)CaDiCaL version: 2.1.3
% 107.68/22.45 % (2637427)Termination reason: Instruction limit
% 107.68/22.45 % (2637427)Termination phase: Saturation
% 107.68/22.45 % (2637427)Time elapsed: 1.338 s
% 107.68/22.45 % (2637427)Peak memory usage: 122 MB
% 107.68/22.45 % (2637427)Instructions burned: 2617 (million)
% 107.68/22.45 % (2637429)lrs+0_1_ncem=casc2026/models/loop3.pt:sil=32000:tgt=ground:npcc=on:sp=occurrence:urr=ec_only:fd=preordered:random_seed=1164475031:i=30521:gtgl=2:kws=inv_arity:bd=all:gtg=exists_sym_2830 on theBenchmark for (2830ds/30521Mi)
% 107.68/22.45 % (2637154)Instruction limit reached!
% 107.68/22.45 % (2637154)------------------------------
% 107.68/22.45 % (2637154)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 107.68/22.45 % (2637154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 107.68/22.45 % (2637154)CaDiCaL version: 2.1.3
% 107.68/22.45 % (2637154)Termination reason: Instruction limit
% 107.68/22.45 % (2637154)Termination phase: Saturation
% 107.68/22.45 % (2637154)Time elapsed: 7.780 s
% 107.68/22.45 % (2637154)Peak memory usage: 209 MB
% 107.68/22.45 % (2637154)Instructions burned: 9357 (million)
% 107.68/22.45 % (2637431)lrs+11_1_to=lpo:ncem=casc2026/models/loop4.pt:sil=16000:tgt=full:npcc=on:prc=on:fde=unused:sp=reverse_frequency:spb=goal:acc=on:urr=ec_only:s2agt=32:random_seed=2036675689:i=3258:fgj=on:bd=all:ins=1_2818 on theBenchmark for (2818ds/3258Mi)
% 107.68/22.45 % (2637159)Instruction limit reached!
% 107.68/22.45 % (2637159)------------------------------
% 107.68/22.45 % (2637159)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 107.68/22.45 % (2637159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 107.68/22.45 % (2637159)CaDiCaL version: 2.1.3
% 107.68/22.45 % (2637159)Termination reason: Instruction limit
% 107.68/22.45 % (2637159)Termination phase: Saturation
% 107.68/22.45 % (2637159)Time elapsed: 6.182 s
% 107.68/22.45 % (2637159)Peak memory usage: 183 MB
% 107.68/22.45 % (2637159)Instructions burned: 6461 (million)
% 107.68/22.45 % (2637433)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=64000:npcc=on:sp=reverse_frequency:kmz=on:random_seed=1075104805:i=5037:kws=precedence_2814 on theBenchmark for (2814ds/5037Mi)
% 107.68/22.45 % (2636964)First to succeed.
% 107.68/22.45 % (2636964)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2636959"
% 107.68/22.45 % (2636964)Refutation found. Thanks to Tanya!
% 107.68/22.45 % SZS status Unsatisfiable for theBenchmark
% 107.68/22.45 % SZS output start Proof for theBenchmark
% See solution above
% 150.74/22.83 % (2636964)------------------------------
% 150.74/22.83 % (2636964)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 150.74/22.83 % (2636964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 150.74/22.83 % (2636964)CaDiCaL version: 2.1.3
% 150.74/22.83 % (2636964)Termination reason: Refutation
% 150.74/22.83 % (2636964)Time elapsed: 20.302 s
% 150.74/22.83 % (2636964)Peak memory usage: 387 MB
% 150.74/22.83 % (2636964)Instructions burned: 27231 (million)
% 150.74/22.83 % (2636964)------------------------------
% 150.74/22.83 % (2636964)------------------------------
% 150.74/22.83 % (2636959)Success in time 21.116 s
% 150.74/22.83 % Vampire exiting
%------------------------------------------------------------------------------