%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWX113_1 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 01:45:54 PM UTC 2026
% Result : Theorem 3.09s 1.15s
% Output : Refutation 3.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 17
% Syntax : Number of formulae : 127 ( 23 unt; 0 typ; 13 def)
% Number of atoms : 578 ( 268 equ)
% Maximal formula atoms : 13 ( 4 avg)
% Number of connectives : 668 ( 217 ~; 248 |; 177 &)
% ( 17 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 176 ( 74 atm; 0 fun; 36 num; 66 var)
% Number of types : 4 ( 2 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 33 ( 29 usr; 14 prp; 0-3 aty)
% Number of functors : 51 ( 50 usr; 14 con; 0-3 aty)
% Number of variables : 325 ( 185 !; 140 ?; 325 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
general: $tType ).
tff(type_def_6,type,
symbol: $tType ).
tff(func_def_0,type,
f__integer__: $int > general ).
tff(func_def_1,type,
f__symbolic__: symbol > general ).
tff(func_def_2,type,
c__infimum__: general ).
tff(func_def_3,type,
c__supremum__: general ).
tff(func_def_4,type,
h_i: $int ).
tff(func_def_10,type,
sK3: general ).
tff(func_def_11,type,
sK4: general ).
tff(func_def_12,type,
sK5: general ).
tff(func_def_13,type,
sK6: general ).
tff(func_def_14,type,
sK7: $int ).
tff(func_def_15,type,
sK8: $int ).
tff(func_def_16,type,
sK9: $int ).
tff(func_def_17,type,
sK10: general ).
tff(func_def_18,type,
sK11: general ).
tff(func_def_19,type,
sK12: general ).
tff(func_def_20,type,
sK13: general > $int ).
tff(func_def_21,type,
sK14: ( general * general ) > general ).
tff(func_def_22,type,
sK15: ( general * general ) > general ).
tff(func_def_23,type,
sK16: ( general * general ) > general ).
tff(func_def_24,type,
sK17: ( general * general ) > general ).
tff(func_def_25,type,
sK18: ( general * general ) > general ).
tff(func_def_26,type,
sK19: ( general * general ) > general ).
tff(func_def_27,type,
sK20: ( general * general * general ) > general ).
tff(func_def_28,type,
sK21: ( general * general * general ) > general ).
tff(func_def_29,type,
sK22: ( general * general * general ) > general ).
tff(func_def_30,type,
sK23: ( general * general * general ) > general ).
tff(func_def_31,type,
sK24: ( general * general * general ) > general ).
tff(func_def_32,type,
sK25: ( general * general * general ) > general ).
tff(func_def_33,type,
sK26: ( general * general * general ) > general ).
tff(func_def_34,type,
sK27: ( general * general * general ) > $int ).
tff(func_def_35,type,
sK28: ( general * general * general ) > $int ).
tff(func_def_36,type,
sK29: ( general * general * general ) > general ).
tff(func_def_37,type,
sK30: ( general * general * general ) > general ).
tff(func_def_38,type,
sK31: ( general * general * general ) > general ).
tff(func_def_39,type,
sK32: ( general * general * general ) > general ).
tff(func_def_40,type,
sK33: ( general * general * general ) > general ).
tff(func_def_41,type,
sK34: ( general * general * general ) > general ).
tff(func_def_42,type,
sK35: ( general * general * general ) > general ).
tff(func_def_43,type,
sK36: ( general * general * general ) > general ).
tff(func_def_44,type,
sK37: ( general * general * general ) > general ).
tff(func_def_45,type,
sK38: ( general * general * general ) > $int ).
tff(func_def_46,type,
sK39: ( general * general * general ) > $int ).
tff(func_def_47,type,
sK40: ( general * general * general ) > general ).
tff(func_def_48,type,
sK41: ( general * general * general ) > general ).
tff(func_def_49,type,
sK42: ( general * general * general ) > $int ).
tff(func_def_50,type,
sK43: ( general * general * general ) > $int ).
tff(func_def_51,type,
sK44: ( general * general * general ) > $int ).
tff(func_def_52,type,
sK45: ( general * general * general ) > $int ).
tff(func_def_53,type,
sK46: ( general * general * general ) > $int ).
tff(func_def_54,type,
sK47: general > symbol ).
tff(pred_def_1,type,
p__is_integer__: general > $o ).
tff(pred_def_2,type,
p__is_symbolic__: general > $o ).
tff(pred_def_3,type,
p__less_equal__: ( general * general ) > $o ).
tff(pred_def_4,type,
p__less__: ( general * general ) > $o ).
tff(pred_def_5,type,
p__greater_equal__: ( general * general ) > $o ).
tff(pred_def_6,type,
p__greater__: ( general * general ) > $o ).
tff(pred_def_8,type,
in0: ( general * general ) > $o ).
tff(pred_def_9,type,
person: general > $o ).
tff(pred_def_10,type,
goto: ( general * general * general ) > $o ).
tff(pred_def_11,type,
go: ( general * general ) > $o ).
tff(pred_def_12,type,
in_building: ( general * general ) > $o ).
tff(pred_def_13,type,
in: ( general * general * general ) > $o ).
tff(pred_def_14,type,
in_building_p: ( general * general ) > $o ).
tff(pred_def_17,type,
sP0: ( general * general * general ) > $o ).
tff(pred_def_18,type,
sP1: ( general * general * general ) > $o ).
tff(pred_def_19,type,
sP2: ( general * general * general ) > $o ).
tff(f20,axiom,
! [X0: general,X1: general] :
( ? [X2: general,X3: general,X4: general] :
( ? [X6: general,X7: general,X5: general] :
( ( X5 = X2 )
& ( X6 = X4 )
& in(X5,X6,X7)
& ( X7 = X3 ) )
& ( X1 = X3 )
& ( X0 = X2 ) )
<=> in_building(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_4_completed_definition_of_in_building_2) ).
tff(f21,axiom,
! [X0: general,X1: general] :
( in_building_p(X0,X1)
<=> ? [X3: general,X2: general,X4: general] :
( ( X1 = X3 )
& ? [X7: general,X6: general,X5: general] :
( ( X7 = X3 )
& ( X6 = X4 )
& in(X5,X6,X7)
& ( X5 = X2 ) )
& ( X0 = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_5_completed_definition_of_in_building_2) ).
tff(f23,axiom,
! [X0: general,X1: general] :
( ( ? [X3: general,X2: general] :
( ( X3 = X1 )
& ~ in_building_p(X2,X3)
& ( X2 = X0 ) )
& ? [X2: general] :
( ( X2 = X0 )
& person(X2) )
& ? [X2: general,X3: general] :
( ? [X6: $int,X5: $int,X4: $int] :
( ( X3 = f__integer__(X6) )
& $lesseq(X6,X5)
& ( X5 = h_i )
& $lesseq(X4,X6)
& ( X4 = 0 ) )
& ( X2 = X1 )
& ( X2 = X3 ) ) )
=> $false ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_7_constraint_1) ).
tff(f26,conjecture,
! [X0: general,X1: general] :
( ( ? [X2: general] :
( ( X2 = X0 )
& person(X2) )
& ? [X2: general,X3: general] :
( ( X2 = X1 )
& ( X2 = X3 )
& ? [X6: $int,X4: $int,X5: $int] :
( $lesseq(X6,X5)
& ( X4 = 0 )
& $lesseq(X4,X6)
& ( X3 = f__integer__(X6) )
& ( X5 = h_i ) ) )
& ? [X2: general,X3: general] :
( ( X3 = X1 )
& ( X2 = X0 )
& ~ in_building(X2,X3) ) )
=> $false ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_10_constraint_1) ).
tff(f27,negated_conjecture,
~ ! [X0: general,X1: general] :
( ( ? [X2: general] :
( ( X2 = X0 )
& person(X2) )
& ? [X2: general,X3: general] :
( ( X2 = X1 )
& ( X2 = X3 )
& ? [X6: $int,X4: $int,X5: $int] :
( $lesseq(X6,X5)
& ( X4 = 0 )
& $lesseq(X4,X6)
& ( X3 = f__integer__(X6) )
& ( X5 = h_i ) ) )
& ? [X2: general,X3: general] :
( ( X3 = X1 )
& ( X2 = X0 )
& ~ in_building(X2,X3) ) )
=> $false ),
inference(negated_conjecture,[status(cth)],[f26]) ).
tff(f29,plain,
! [X0: general,X1: general] :
( ( ? [X3: general,X2: general] :
( ( X3 = X1 )
& ~ in_building_p(X2,X3)
& ( X2 = X0 ) )
& ? [X2: general] :
( ( X2 = X0 )
& person(X2) )
& ? [X2: general,X3: general] :
( ? [X6: $int,X5: $int,X4: $int] :
( ( X3 = f__integer__(X6) )
& ~ $less(X5,X6)
& ( X5 = h_i )
& ~ $less(X6,X4)
& ( X4 = 0 ) )
& ( X2 = X1 )
& ( X2 = X3 ) ) )
=> $false ),
inference(theory_normalization,[],[f23]) ).
tff(f32,plain,
~ ! [X0: general,X1: general] :
( ( ? [X2: general] :
( ( X2 = X0 )
& person(X2) )
& ? [X2: general,X3: general] :
( ( X2 = X1 )
& ( X2 = X3 )
& ? [X6: $int,X4: $int,X5: $int] :
( ~ $less(X5,X6)
& ( X4 = 0 )
& ~ $less(X6,X4)
& ( X3 = f__integer__(X6) )
& ( X5 = h_i ) ) )
& ? [X2: general,X3: general] :
( ( X3 = X1 )
& ( X2 = X0 )
& ~ in_building(X2,X3) ) )
=> $false ),
inference(theory_normalization,[],[f27]) ).
tff(f34,plain,
! [X1: general,X0: general] :
( ? [X3: general,X4: general,X2: general] :
( ( X1 = X2 )
& ( X0 = X3 )
& ? [X6: general,X5: general,X7: general] :
( in(X7,X6,X5)
& ( X2 = X5 )
& ( X6 = X4 )
& ( X3 = X7 ) ) )
<=> in_building_p(X0,X1) ),
inference(rectify,[],[f21]) ).
tff(f37,plain,
! [X0: general,X1: general] :
( ( ? [X4: general] :
( ( X0 = X4 )
& person(X4) )
& ? [X2: general,X3: general] :
( ( X0 = X3 )
& ( X1 = X2 )
& ~ in_building_p(X3,X2) )
& ? [X6: general,X5: general] :
( ( X1 = X5 )
& ( X5 = X6 )
& ? [X9: $int,X8: $int,X7: $int] :
( ~ $less(X8,X7)
& ( f__integer__(X7) = X6 )
& ( h_i = X8 )
& ~ $less(X7,X9)
& ( 0 = X9 ) ) ) )
=> $false ),
inference(rectify,[],[f29]) ).
tff(f38,plain,
! [X1: general,X0: general] :
~ ( ? [X4: general] :
( ( X0 = X4 )
& person(X4) )
& ? [X2: general,X3: general] :
( ( X0 = X3 )
& ( X1 = X2 )
& ~ in_building_p(X3,X2) )
& ? [X6: general,X5: general] :
( ( X1 = X5 )
& ( X5 = X6 )
& ? [X9: $int,X8: $int,X7: $int] :
( ~ $less(X8,X7)
& ( f__integer__(X7) = X6 )
& ( h_i = X8 )
& ~ $less(X7,X9)
& ( 0 = X9 ) ) ) ),
inference(true_and_false_elimination,[],[f37]) ).
tff(f39,plain,
! [X0: general,X1: general] :
( ? [X3: general,X2: general,X4: general] :
( ( X0 = X2 )
& ( X1 = X3 )
& ? [X5: general,X7: general,X6: general] :
( in(X7,X5,X6)
& ( X4 = X5 )
& ( X3 = X6 )
& ( X2 = X7 ) ) )
<=> in_building(X0,X1) ),
inference(rectify,[],[f20]) ).
tff(f44,plain,
~ ! [X0: general,X1: general] :
( ( ? [X4: general,X3: general] :
( ? [X7: $int,X5: $int,X6: $int] :
( ( h_i = X7 )
& ( 0 = X6 )
& ~ $less(X5,X6)
& ~ $less(X7,X5)
& ( f__integer__(X5) = X4 ) )
& ( X3 = X4 )
& ( X1 = X3 ) )
& ? [X9: general,X8: general] :
( ( X1 = X9 )
& ( X0 = X8 )
& ~ in_building(X8,X9) )
& ? [X2: general] :
( ( X2 = X0 )
& person(X2) ) )
=> $false ),
inference(rectify,[],[f32]) ).
tff(f45,plain,
~ ! [X0: general,X1: general] :
~ ( ? [X4: general,X3: general] :
( ? [X7: $int,X5: $int,X6: $int] :
( ( h_i = X7 )
& ( 0 = X6 )
& ~ $less(X5,X6)
& ~ $less(X7,X5)
& ( f__integer__(X5) = X4 ) )
& ( X3 = X4 )
& ( X1 = X3 ) )
& ? [X9: general,X8: general] :
( ( X1 = X9 )
& ( X0 = X8 )
& ~ in_building(X8,X9) )
& ? [X2: general] :
( ( X2 = X0 )
& person(X2) ) ),
inference(true_and_false_elimination,[],[f44]) ).
tff(f52,plain,
! [X1: general,X0: general] :
( in_building_p(X0,X1)
=> ? [X3: general,X4: general,X2: general] :
( ( X1 = X2 )
& ( X0 = X3 )
& ? [X6: general,X5: general,X7: general] :
( in(X7,X6,X5)
& ( X2 = X5 )
& ( X6 = X4 )
& ( X3 = X7 ) ) ) ),
inference(unused_predicate_definition_removal,[],[f34]) ).
tff(f53,plain,
! [X0: general,X1: general] :
( ? [X3: general,X2: general,X4: general] :
( ( X0 = X2 )
& ( X1 = X3 )
& ? [X5: general,X7: general,X6: general] :
( in(X7,X5,X6)
& ( X4 = X5 )
& ( X3 = X6 )
& ( X2 = X7 ) ) )
=> in_building(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f39]) ).
tff(f59,plain,
? [X0: general,X1: general] :
( ? [X4: general,X3: general] :
( ? [X7: $int,X5: $int,X6: $int] :
( ( h_i = X7 )
& ( 0 = X6 )
& ~ $less(X5,X6)
& ~ $less(X7,X5)
& ( f__integer__(X5) = X4 ) )
& ( X3 = X4 )
& ( X1 = X3 ) )
& ? [X9: general,X8: general] :
( ( X1 = X9 )
& ( X0 = X8 )
& ~ in_building(X8,X9) )
& ? [X2: general] :
( ( X2 = X0 )
& person(X2) ) ),
inference(ennf_transformation,[],[f45]) ).
tff(f64,plain,
! [X1: general,X0: general] :
( ! [X3: general,X4: general,X2: general] :
( ( X0 != X2 )
| ! [X6: general,X7: general,X5: general] :
( ( X3 != X6 )
| ( X2 != X7 )
| ~ in(X7,X5,X6)
| ( X4 != X5 ) )
| ( X1 != X3 ) )
| in_building(X0,X1) ),
inference(ennf_transformation,[],[f53]) ).
tff(f68,plain,
! [X1: general,X0: general] :
( ! [X5: general,X6: general] :
( ( X1 != X5 )
| ( X5 != X6 )
| ! [X8: $int,X9: $int,X7: $int] :
( ( f__integer__(X7) != X6 )
| $less(X7,X9)
| ( 0 != X9 )
| ( h_i != X8 )
| $less(X8,X7) ) )
| ! [X4: general] :
( ( X0 != X4 )
| ~ person(X4) )
| ! [X2: general,X3: general] :
( ( X0 != X3 )
| ( X1 != X2 )
| in_building_p(X3,X2) ) ),
inference(ennf_transformation,[],[f38]) ).
tff(f70,plain,
! [X0: general,X1: general] :
( ~ in_building_p(X0,X1)
| ? [X3: general,X4: general,X2: general] :
( ( X1 = X2 )
& ( X0 = X3 )
& ? [X6: general,X5: general,X7: general] :
( in(X7,X6,X5)
& ( X2 = X5 )
& ( X6 = X4 )
& ( X3 = X7 ) ) ) ),
inference(ennf_transformation,[],[f52]) ).
tff(f76,plain,
? [X0: general,X1: general] :
( ? [X2: general,X3: general] :
( ? [X4: $int,X5: $int,X6: $int] :
( ( h_i = X4 )
& ( 0 = X6 )
& ~ $less(X5,X6)
& ~ $less(X4,X5)
& ( f__integer__(X5) = X2 ) )
& ( X2 = X3 )
& ( X1 = X3 ) )
& ? [X7: general,X8: general] :
( ( X1 = X7 )
& ( X0 = X8 )
& ~ in_building(X8,X7) )
& ? [X9: general] :
( ( X0 = X9 )
& person(X9) ) ),
inference(rectify,[],[f59]) ).
tff(f77,plain,
( ( h_i = sK7 )
& ( 0 = sK9 )
& ~ $less(sK8,sK9)
& ~ $less(sK7,sK8)
& ( f__integer__(sK8) = sK5 )
& ( sK6 = sK5 )
& ( sK6 = sK4 )
& ( sK10 = sK4 )
& ( sK11 = sK3 )
& ~ in_building(sK11,sK10)
& ( sK12 = sK3 )
& person(sK12) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12]),skolemize(X0,sK3),skolemize(X1,sK4),skolemize(X2,sK5),skolemize(X3,sK6),skolemize(X4,sK7),skolemize(X5,sK8),skolemize(X6,sK9),skolemize(X7,sK10),skolemize(X8,sK11),skolemize(X9,sK12)],[f76]) ).
tff(f86,plain,
! [X0: general,X1: general] :
( ~ in_building_p(X0,X1)
| ? [X2: general,X3: general,X4: general] :
( ( X1 = X4 )
& ( X0 = X2 )
& ? [X5: general,X6: general,X7: general] :
( in(X7,X5,X6)
& ( X4 = X6 )
& ( X3 = X5 )
& ( X2 = X7 ) ) ) ),
inference(rectify,[],[f70]) ).
tff(f87,plain,
! [X0: general,X1: general] :
( ~ in_building_p(X0,X1)
| ( ( sK16(X0,X1) = X1 )
& ( sK14(X0,X1) = X0 )
& in(sK19(X0,X1),sK17(X0,X1),sK18(X0,X1))
& ( sK16(X0,X1) = sK18(X0,X1) )
& ( sK15(X0,X1) = sK17(X0,X1) )
& ( sK14(X0,X1) = sK19(X0,X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14,sK15,sK16,sK17,sK18,sK19]),skolemize(X2,sK14(X0,X1)),skolemize(X3,sK15(X0,X1)),skolemize(X4,sK16(X0,X1)),skolemize(X5,sK17(X0,X1)),skolemize(X6,sK18(X0,X1)),skolemize(X7,sK19(X0,X1))],[f86]) ).
tff(f102,plain,
! [X0: general,X1: general] :
( ! [X2: general,X3: general] :
( ( X0 != X2 )
| ( X2 != X3 )
| ! [X4: $int,X5: $int,X6: $int] :
( ( f__integer__(X6) != X3 )
| $less(X6,X5)
| ( 0 != X5 )
| ( h_i != X4 )
| $less(X4,X6) ) )
| ! [X7: general] :
( ( X1 != X7 )
| ~ person(X7) )
| ! [X8: general,X9: general] :
( ( X1 != X9 )
| ( X0 != X8 )
| in_building_p(X9,X8) ) ),
inference(rectify,[],[f68]) ).
tff(f105,plain,
! [X0: general,X1: general] :
( ! [X2: general,X3: general,X4: general] :
( ( X1 != X4 )
| ! [X5: general,X6: general,X7: general] :
( ( X2 != X5 )
| ( X4 != X6 )
| ~ in(X6,X7,X5)
| ( X3 != X7 ) )
| ( X0 != X2 ) )
| in_building(X1,X0) ),
inference(rectify,[],[f64]) ).
tff(f111,plain,
person(sK12),
inference(cnf_transformation,[],[f77]) ).
tff(f112,plain,
sK12 = sK3,
inference(cnf_transformation,[],[f77]) ).
tff(f113,plain,
~ in_building(sK11,sK10),
inference(cnf_transformation,[],[f77]) ).
tff(f114,plain,
sK11 = sK3,
inference(cnf_transformation,[],[f77]) ).
tff(f115,plain,
sK10 = sK4,
inference(cnf_transformation,[],[f77]) ).
tff(f116,plain,
sK6 = sK4,
inference(cnf_transformation,[],[f77]) ).
tff(f117,plain,
sK6 = sK5,
inference(cnf_transformation,[],[f77]) ).
tff(f118,plain,
f__integer__(sK8) = sK5,
inference(cnf_transformation,[],[f77]) ).
tff(f119,plain,
~ $less(sK7,sK8),
inference(cnf_transformation,[],[f77]) ).
tff(f120,plain,
~ $less(sK8,sK9),
inference(cnf_transformation,[],[f77]) ).
tff(f121,plain,
0 = sK9,
inference(cnf_transformation,[],[f77]) ).
tff(f122,plain,
h_i = sK7,
inference(cnf_transformation,[],[f77]) ).
tff(f132,plain,
! [X0: general,X1: general] :
( ~ in_building_p(X0,X1)
| ( sK14(X0,X1) = sK19(X0,X1) ) ),
inference(cnf_transformation,[],[f87]) ).
tff(f134,plain,
! [X0: general,X1: general] :
( ~ in_building_p(X0,X1)
| ( sK16(X0,X1) = sK18(X0,X1) ) ),
inference(cnf_transformation,[],[f87]) ).
tff(f135,plain,
! [X0: general,X1: general] :
( ~ in_building_p(X0,X1)
| in(sK19(X0,X1),sK17(X0,X1),sK18(X0,X1)) ),
inference(cnf_transformation,[],[f87]) ).
tff(f136,plain,
! [X0: general,X1: general] :
( ~ in_building_p(X0,X1)
| ( sK14(X0,X1) = X0 ) ),
inference(cnf_transformation,[],[f87]) ).
tff(f137,plain,
! [X0: general,X1: general] :
( ~ in_building_p(X0,X1)
| ( sK16(X0,X1) = X1 ) ),
inference(cnf_transformation,[],[f87]) ).
tff(f181,plain,
! [X2: general,X3: general,X0: general,X1: general,X8: general,X6: $int,X9: general,X7: general,X4: $int,X5: $int] :
( ( X0 != X2 )
| ( X2 != X3 )
| ( f__integer__(X6) != X3 )
| $less(X6,X5)
| ( 0 != X5 )
| ( h_i != X4 )
| $less(X4,X6)
| ( X1 != X7 )
| ~ person(X7)
| ( X1 != X9 )
| ( X0 != X8 )
| in_building_p(X9,X8) ),
inference(cnf_transformation,[],[f102]) ).
tff(f184,plain,
! [X2: general,X3: general,X0: general,X1: general,X6: general,X7: general,X4: general,X5: general] :
( ( X1 != X4 )
| ( X2 != X5 )
| ( X4 != X6 )
| ~ in(X6,X7,X5)
| ( X3 != X7 )
| ( X0 != X2 )
| in_building(X1,X0) ),
inference(cnf_transformation,[],[f105]) ).
tff(f192,plain,
~ $less(sK8,0),
inference(definition_unfolding,[],[f120,f121]) ).
tff(f193,plain,
sK4 = sK5,
inference(definition_unfolding,[],[f116,f117]) ).
tff(f194,plain,
~ in_building(sK3,sK4),
inference(definition_unfolding,[],[f113,f114,f115]) ).
tff(f195,plain,
person(sK3),
inference(definition_unfolding,[],[f111,f112]) ).
tff(f198,plain,
! [X2: general,X3: general,X0: general,X1: general,X8: general,X6: $int,X9: general,X7: general,X4: $int,X5: $int] :
( ( X0 != X2 )
| ( X2 != X3 )
| ( f__integer__(X6) != X3 )
| $less(X6,X5)
| ( 0 != X5 )
| ( sK7 != X4 )
| $less(X4,X6)
| ( X1 != X7 )
| ~ person(X7)
| ( X1 != X9 )
| ( X0 != X8 )
| in_building_p(X9,X8) ),
inference(definition_unfolding,[],[f181,f122]) ).
tff(f243,plain,
! [X2: general,X3: general,X1: general,X8: general,X6: $int,X9: general,X7: general,X4: $int,X5: $int] :
( ( X2 != X3 )
| ( f__integer__(X6) != X3 )
| $less(X6,X5)
| ( 0 != X5 )
| ( sK7 != X4 )
| $less(X4,X6)
| ( X1 != X7 )
| ~ person(X7)
| ( X1 != X9 )
| ( X2 != X8 )
| in_building_p(X9,X8) ),
inference(equality_resolution,[],[f198]) ).
tff(f244,plain,
! [X3: general,X1: general,X8: general,X6: $int,X9: general,X7: general,X4: $int,X5: $int] :
( ( f__integer__(X6) != X3 )
| $less(X6,X5)
| ( 0 != X5 )
| ( sK7 != X4 )
| $less(X4,X6)
| ( X1 != X7 )
| ~ person(X7)
| ( X1 != X9 )
| ( X3 != X8 )
| in_building_p(X9,X8) ),
inference(equality_resolution,[],[f243]) ).
tff(f245,plain,
! [X1: general,X8: general,X6: $int,X9: general,X7: general,X4: $int,X5: $int] :
( $less(X6,X5)
| ( 0 != X5 )
| ( sK7 != X4 )
| $less(X4,X6)
| ( X1 != X7 )
| ~ person(X7)
| ( X1 != X9 )
| ( f__integer__(X6) != X8 )
| in_building_p(X9,X8) ),
inference(equality_resolution,[],[f244]) ).
tff(f246,plain,
! [X1: general,X8: general,X6: $int,X9: general,X7: general,X4: $int] :
( $less(X6,0)
| ( sK7 != X4 )
| $less(X4,X6)
| ( X1 != X7 )
| ~ person(X7)
| ( X1 != X9 )
| ( f__integer__(X6) != X8 )
| in_building_p(X9,X8) ),
inference(equality_resolution,[],[f245]) ).
tff(f247,plain,
! [X1: general,X8: general,X6: $int,X9: general,X7: general] :
( $less(X6,0)
| $less(sK7,X6)
| ( X1 != X7 )
| ~ person(X7)
| ( X1 != X9 )
| ( f__integer__(X6) != X8 )
| in_building_p(X9,X8) ),
inference(equality_resolution,[],[f246]) ).
tff(f248,plain,
! [X8: general,X6: $int,X9: general,X7: general] :
( $less(X6,0)
| $less(sK7,X6)
| ~ person(X7)
| ( X7 != X9 )
| ( f__integer__(X6) != X8 )
| in_building_p(X9,X8) ),
inference(equality_resolution,[],[f247]) ).
tff(f249,plain,
! [X8: general,X6: $int,X9: general] :
( $less(X6,0)
| $less(sK7,X6)
| ~ person(X9)
| ( f__integer__(X6) != X8 )
| in_building_p(X9,X8) ),
inference(equality_resolution,[],[f248]) ).
tff(f250,plain,
! [X6: $int,X9: general] :
( ~ person(X9)
| $less(sK7,X6)
| $less(X6,0)
| in_building_p(X9,f__integer__(X6)) ),
inference(equality_resolution,[],[f249]) ).
tff(f252,plain,
! [X2: general,X3: general,X0: general,X6: general,X7: general,X4: general,X5: general] :
( ( X2 != X5 )
| ( X4 != X6 )
| ~ in(X6,X7,X5)
| ( X3 != X7 )
| ( X0 != X2 )
| in_building(X4,X0) ),
inference(equality_resolution,[],[f184]) ).
tff(f253,plain,
! [X3: general,X0: general,X6: general,X7: general,X4: general,X5: general] :
( ( X4 != X6 )
| ~ in(X6,X7,X5)
| ( X3 != X7 )
| ( X0 != X5 )
| in_building(X4,X0) ),
inference(equality_resolution,[],[f252]) ).
tff(f254,plain,
! [X3: general,X0: general,X6: general,X7: general,X5: general] :
( ~ in(X6,X7,X5)
| ( X3 != X7 )
| ( X0 != X5 )
| in_building(X6,X0) ),
inference(equality_resolution,[],[f253]) ).
tff(f255,plain,
! [X0: general,X6: general,X7: general,X5: general] :
( ~ in(X6,X7,X5)
| ( X0 != X5 )
| in_building(X6,X0) ),
inference(equality_resolution,[],[f254]) ).
tff(f256,plain,
! [X6: general,X7: general,X5: general] :
( ~ in(X6,X7,X5)
| in_building(X6,X5) ),
inference(equality_resolution,[],[f255]) ).
tff(f261,definition,
( spl48_1
<=> ( f__integer__(sK8) = sK5 ) ),
introduced(definition,[new_symbols(definition,[spl48_1])],[avatar_definition]) ).
tff(f263,plain,
( ( f__integer__(sK8) = sK5 )
| ~ spl48_1 ),
inference(avatar_component_clause,[],[f261]) ).
tff(f264,plain,
spl48_1,
inference(avatar_split_clause,[],[f118,f261]) ).
tff(f266,definition,
( spl48_2
<=> $less(sK8,0) ),
introduced(definition,[new_symbols(definition,[spl48_2])],[avatar_definition]) ).
tff(f268,plain,
( ~ $less(sK8,0)
| spl48_2 ),
inference(avatar_component_clause,[],[f266]) ).
tff(f269,plain,
~ spl48_2,
inference(avatar_split_clause,[],[f192,f266]) ).
tff(f276,definition,
( spl48_4
<=> in_building(sK3,sK4) ),
introduced(definition,[new_symbols(definition,[spl48_4])],[avatar_definition]) ).
tff(f278,plain,
( ~ in_building(sK3,sK4)
| spl48_4 ),
inference(avatar_component_clause,[],[f276]) ).
tff(f279,plain,
~ spl48_4,
inference(avatar_split_clause,[],[f194,f276]) ).
tff(f281,definition,
( spl48_5
<=> $less(sK7,sK8) ),
introduced(definition,[new_symbols(definition,[spl48_5])],[avatar_definition]) ).
tff(f283,plain,
( ~ $less(sK7,sK8)
| spl48_5 ),
inference(avatar_component_clause,[],[f281]) ).
tff(f284,plain,
~ spl48_5,
inference(avatar_split_clause,[],[f119,f281]) ).
tff(f286,definition,
( spl48_6
<=> person(sK3) ),
introduced(definition,[new_symbols(definition,[spl48_6])],[avatar_definition]) ).
tff(f288,plain,
( person(sK3)
| ~ spl48_6 ),
inference(avatar_component_clause,[],[f286]) ).
tff(f289,plain,
spl48_6,
inference(avatar_split_clause,[],[f195,f286]) ).
tff(f291,definition,
( spl48_7
<=> ( sK4 = sK5 ) ),
introduced(definition,[new_symbols(definition,[spl48_7])],[avatar_definition]) ).
tff(f293,plain,
( ( sK4 = sK5 )
| ~ spl48_7 ),
inference(avatar_component_clause,[],[f291]) ).
tff(f294,plain,
spl48_7,
inference(avatar_split_clause,[],[f193,f291]) ).
tff(f295,plain,
( ( sK4 = f__integer__(sK8) )
| ~ spl48_1
| ~ spl48_7 ),
inference(forward_demodulation,[],[f293,f263]) ).
tff(f297,definition,
( spl48_8
<=> ( sK4 = f__integer__(sK8) ) ),
introduced(definition,[new_symbols(definition,[spl48_8])],[avatar_definition]) ).
tff(f299,plain,
( ( sK4 = f__integer__(sK8) )
| ~ spl48_8 ),
inference(avatar_component_clause,[],[f297]) ).
tff(f300,plain,
( spl48_8
| ~ spl48_1
| ~ spl48_7 ),
inference(avatar_split_clause,[],[f295,f291,f261,f297]) ).
tff(f301,plain,
( ~ in_building(sK3,f__integer__(sK8))
| spl48_4
| ~ spl48_8 ),
inference(superposition,[],[f278,f299]) ).
tff(f303,definition,
( spl48_9
<=> in_building(sK3,f__integer__(sK8)) ),
introduced(definition,[new_symbols(definition,[spl48_9])],[avatar_definition]) ).
tff(f305,plain,
( ~ in_building(sK3,f__integer__(sK8))
| spl48_9 ),
inference(avatar_component_clause,[],[f303]) ).
tff(f306,plain,
( ~ spl48_9
| spl48_4
| ~ spl48_8 ),
inference(avatar_split_clause,[],[f301,f297,f276,f303]) ).
tff(f307,plain,
( ! [X0: $int] :
( in_building_p(sK3,f__integer__(X0))
| $less(X0,0)
| $less(sK7,X0) )
| ~ spl48_6 ),
inference(resolution,[],[f250,f288]) ).
tff(f317,plain,
( ! [X0: $int] :
( $less(sK7,X0)
| $less(X0,0)
| ( sK14(sK3,f__integer__(X0)) = sK3 ) )
| ~ spl48_6 ),
inference(resolution,[],[f136,f307]) ).
tff(f320,plain,
( $less(sK7,sK8)
| ( sK14(sK3,f__integer__(sK8)) = sK3 )
| spl48_2
| ~ spl48_6 ),
inference(resolution,[],[f317,f268]) ).
tff(f322,plain,
( ( sK14(sK3,f__integer__(sK8)) = sK3 )
| spl48_2
| spl48_5
| ~ spl48_6 ),
inference(forward_subsumption_resolution,[],[f320,f283]) ).
tff(f330,definition,
( spl48_11
<=> ( sK14(sK3,f__integer__(sK8)) = sK3 ) ),
introduced(definition,[new_symbols(definition,[spl48_11])],[avatar_definition]) ).
tff(f332,plain,
( ( sK14(sK3,f__integer__(sK8)) = sK3 )
| ~ spl48_11 ),
inference(avatar_component_clause,[],[f330]) ).
tff(f333,plain,
( spl48_11
| spl48_2
| spl48_5
| ~ spl48_6 ),
inference(avatar_split_clause,[],[f322,f286,f281,f266,f330]) ).
tff(f339,plain,
( ! [X0: $int] :
( $less(sK7,X0)
| $less(X0,0)
| ( f__integer__(X0) = sK16(sK3,f__integer__(X0)) ) )
| ~ spl48_6 ),
inference(resolution,[],[f137,f307]) ).
tff(f342,plain,
( $less(sK7,sK8)
| ( sK16(sK3,f__integer__(sK8)) = f__integer__(sK8) )
| spl48_2
| ~ spl48_6 ),
inference(resolution,[],[f339,f268]) ).
tff(f350,plain,
( ( sK16(sK3,f__integer__(sK8)) = f__integer__(sK8) )
| spl48_2
| spl48_5
| ~ spl48_6 ),
inference(forward_subsumption_resolution,[],[f342,f283]) ).
tff(f357,definition,
( spl48_15
<=> ( sK16(sK3,f__integer__(sK8)) = f__integer__(sK8) ) ),
introduced(definition,[new_symbols(definition,[spl48_15])],[avatar_definition]) ).
tff(f359,plain,
( ( sK16(sK3,f__integer__(sK8)) = f__integer__(sK8) )
| ~ spl48_15 ),
inference(avatar_component_clause,[],[f357]) ).
tff(f360,plain,
( spl48_15
| spl48_2
| spl48_5
| ~ spl48_6 ),
inference(avatar_split_clause,[],[f350,f286,f281,f266,f357]) ).
tff(f387,plain,
( ! [X0: $int] :
( $less(sK7,X0)
| $less(X0,0)
| ( sK14(sK3,f__integer__(X0)) = sK19(sK3,f__integer__(X0)) ) )
| ~ spl48_6 ),
inference(resolution,[],[f132,f307]) ).
tff(f390,plain,
( $less(sK7,sK8)
| ( sK19(sK3,f__integer__(sK8)) = sK14(sK3,f__integer__(sK8)) )
| spl48_2
| ~ spl48_6 ),
inference(resolution,[],[f387,f268]) ).
tff(f393,plain,
( ( sK19(sK3,f__integer__(sK8)) = sK14(sK3,f__integer__(sK8)) )
| spl48_2
| spl48_5
| ~ spl48_6 ),
inference(forward_subsumption_resolution,[],[f390,f283]) ).
tff(f396,plain,
( ( sK19(sK3,f__integer__(sK8)) = sK3 )
| spl48_2
| spl48_5
| ~ spl48_6
| ~ spl48_11 ),
inference(forward_demodulation,[],[f393,f332]) ).
tff(f408,definition,
( spl48_18
<=> ( sK19(sK3,f__integer__(sK8)) = sK3 ) ),
introduced(definition,[new_symbols(definition,[spl48_18])],[avatar_definition]) ).
tff(f410,plain,
( ( sK19(sK3,f__integer__(sK8)) = sK3 )
| ~ spl48_18 ),
inference(avatar_component_clause,[],[f408]) ).
tff(f411,plain,
( spl48_18
| spl48_2
| spl48_5
| ~ spl48_6
| ~ spl48_11 ),
inference(avatar_split_clause,[],[f396,f330,f286,f281,f266,f408]) ).
tff(f413,plain,
( ! [X0: $int] :
( $less(sK7,X0)
| $less(X0,0)
| ( sK16(sK3,f__integer__(X0)) = sK18(sK3,f__integer__(X0)) ) )
| ~ spl48_6 ),
inference(resolution,[],[f134,f307]) ).
tff(f437,plain,
( ( sK16(sK3,f__integer__(sK8)) = sK18(sK3,f__integer__(sK8)) )
| $less(sK7,sK8)
| spl48_2
| ~ spl48_6 ),
inference(resolution,[],[f413,f268]) ).
tff(f440,plain,
( ( sK16(sK3,f__integer__(sK8)) = sK18(sK3,f__integer__(sK8)) )
| spl48_2
| spl48_5
| ~ spl48_6 ),
inference(forward_subsumption_resolution,[],[f437,f283]) ).
tff(f447,plain,
( ( f__integer__(sK8) = sK18(sK3,f__integer__(sK8)) )
| spl48_2
| spl48_5
| ~ spl48_6
| ~ spl48_15 ),
inference(forward_demodulation,[],[f440,f359]) ).
tff(f450,definition,
( spl48_23
<=> ( f__integer__(sK8) = sK18(sK3,f__integer__(sK8)) ) ),
introduced(definition,[new_symbols(definition,[spl48_23])],[avatar_definition]) ).
tff(f452,plain,
( ( f__integer__(sK8) = sK18(sK3,f__integer__(sK8)) )
| ~ spl48_23 ),
inference(avatar_component_clause,[],[f450]) ).
tff(f453,plain,
( spl48_23
| spl48_2
| spl48_5
| ~ spl48_6
| ~ spl48_15 ),
inference(avatar_split_clause,[],[f447,f357,f286,f281,f266,f450]) ).
tff(f473,plain,
( ! [X0: $int] :
( in(sK19(sK3,f__integer__(X0)),sK17(sK3,f__integer__(X0)),sK18(sK3,f__integer__(X0)))
| $less(X0,0)
| $less(sK7,X0) )
| ~ spl48_6 ),
inference(resolution,[],[f135,f307]) ).
tff(f481,plain,
( $less(sK7,sK8)
| $less(sK8,0)
| in(sK19(sK3,f__integer__(sK8)),sK17(sK3,f__integer__(sK8)),f__integer__(sK8))
| ~ spl48_6
| ~ spl48_23 ),
inference(superposition,[],[f473,f452]) ).
tff(f485,plain,
( $less(sK8,0)
| in(sK19(sK3,f__integer__(sK8)),sK17(sK3,f__integer__(sK8)),f__integer__(sK8))
| spl48_5
| ~ spl48_6
| ~ spl48_23 ),
inference(forward_subsumption_resolution,[],[f481,f283]) ).
tff(f491,plain,
( in(sK19(sK3,f__integer__(sK8)),sK17(sK3,f__integer__(sK8)),f__integer__(sK8))
| spl48_2
| spl48_5
| ~ spl48_6
| ~ spl48_23 ),
inference(forward_subsumption_resolution,[],[f485,f268]) ).
tff(f497,plain,
( in(sK3,sK17(sK3,f__integer__(sK8)),f__integer__(sK8))
| spl48_2
| spl48_5
| ~ spl48_6
| ~ spl48_18
| ~ spl48_23 ),
inference(forward_demodulation,[],[f491,f410]) ).
tff(f507,definition,
( spl48_28
<=> in(sK3,sK17(sK3,f__integer__(sK8)),f__integer__(sK8)) ),
introduced(definition,[new_symbols(definition,[spl48_28])],[avatar_definition]) ).
tff(f509,plain,
( in(sK3,sK17(sK3,f__integer__(sK8)),f__integer__(sK8))
| ~ spl48_28 ),
inference(avatar_component_clause,[],[f507]) ).
tff(f510,plain,
( spl48_28
| spl48_2
| spl48_5
| ~ spl48_6
| ~ spl48_18
| ~ spl48_23 ),
inference(avatar_split_clause,[],[f497,f450,f408,f286,f281,f266,f507]) ).
tff(f531,plain,
( in_building(sK3,f__integer__(sK8))
| ~ spl48_28 ),
inference(resolution,[],[f509,f256]) ).
tff(f532,plain,
( $false
| spl48_9
| ~ spl48_28 ),
inference(forward_subsumption_resolution,[],[f531,f305]) ).
tff(f533,plain,
( spl48_9
| ~ spl48_28 ),
inference(avatar_contradiction_clause,[],[f532]) ).
tff(f539,plain,
$false,
inference(avatar_smt_refutation,[],[f533,f510,f453,f411,f360,f333,f306,f300,f294,f289,f284,f279,f269,f264]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWX113_1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n019.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 15:02:03 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 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
% 3.09/1.15 % (4068741)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.09/1.15 % (4068750)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=3487081678:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.09/1.15 % (4068750)Instruction limit reached!
% 3.09/1.15 % (4068750)------------------------------
% 3.09/1.15 % (4068750)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.09/1.15 % (4068750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/1.15 % (4068750)CaDiCaL version: 2.1.3
% 3.09/1.15 % (4068750)Termination reason: Instruction limit
% 3.09/1.15 % (4068750)Termination phase: Saturation
% 3.09/1.15 % (4068750)Time elapsed: 0.002 s
% 3.09/1.15 % (4068750)Peak memory usage: 88 MB
% 3.09/1.15 % (4068750)Instructions burned: 5 (million)
% 3.09/1.15 % (4068752)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=2876465089:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.09/1.15 % (4068748)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=904090802:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.09/1.15 % (4068746)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=358251623:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.09/1.15 % (4068747)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=1350167019:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.09/1.15 % (4068749)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=175935404:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.09/1.15 % (4068749)Instruction limit reached!
% 3.09/1.15 % (4068749)------------------------------
% 3.09/1.15 % (4068749)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.09/1.15 % (4068749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/1.15 % (4068749)CaDiCaL version: 2.1.3
% 3.09/1.15 % (4068749)Termination reason: Instruction limit
% 3.09/1.15 % (4068749)Termination phase: Saturation
% 3.09/1.15 % (4068749)Time elapsed: 0.005 s
% 3.09/1.15 % (4068749)Peak memory usage: 88 MB
% 3.09/1.15 % (4068749)Instructions burned: 7 (million)
% 3.09/1.15 % (4068751)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=2684015665:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.09/1.15 % (4068746)Instruction limit reached!
% 3.09/1.15 % (4068746)------------------------------
% 3.09/1.15 % (4068746)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.09/1.15 % (4068746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/1.15 % (4068746)CaDiCaL version: 2.1.3
% 3.09/1.15 % (4068746)Termination reason: Instruction limit
% 3.09/1.15 % (4068746)Termination phase: Saturation
% 3.09/1.15 % (4068746)Time elapsed: 0.031 s
% 3.09/1.15 % (4068746)Peak memory usage: 116 MB
% 3.09/1.15 % (4068746)Instructions burned: 13 (million)
% 3.09/1.15 % (4068752)Instruction limit reached!
% 3.09/1.15 % (4068752)------------------------------
% 3.09/1.15 % (4068752)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.09/1.15 % (4068752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/1.15 % (4068752)CaDiCaL version: 2.1.3
% 3.09/1.15 % (4068752)Termination reason: Instruction limit
% 3.09/1.15 % (4068752)Termination phase: Saturation
% 3.09/1.15 % (4068752)Time elapsed: 0.048 s
% 3.09/1.15 % (4068752)Peak memory usage: 116 MB
% 3.09/1.15 % (4068752)Instructions burned: 34 (million)
% 3.09/1.15 % (4068751)First to succeed.
% 3.09/1.15 % (4068751)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4068741"
% 3.09/1.15 % (4068754)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=3404119684:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.09/1.15 % (4068754)Instruction limit reached!
% 3.09/1.15 % (4068754)------------------------------
% 3.09/1.15 % (4068754)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.09/1.15 % (4068754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/1.15 % (4068754)CaDiCaL version: 2.1.3
% 3.09/1.15 % (4068754)Termination reason: Instruction limit
% 3.09/1.15 % (4068754)Termination phase: Saturation
% 3.09/1.15 % (4068754)Time elapsed: 0.006 s
% 3.09/1.15 % (4068754)Peak memory usage: 89 MB
% 3.09/1.15 % (4068754)Instructions burned: 15 (million)
% 3.09/1.15 % (4068748)Instruction limit reached!
% 3.09/1.15 % (4068748)------------------------------
% 3.09/1.15 % (4068748)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.09/1.15 % (4068748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/1.15 % (4068748)CaDiCaL version: 2.1.3
% 3.09/1.15 % (4068748)Termination reason: Instruction limit
% 3.09/1.15 % (4068748)Termination phase: Saturation
% 3.09/1.15 % (4068748)Time elapsed: 0.124 s
% 3.09/1.15 % (4068748)Peak memory usage: 116 MB
% 3.09/1.15 % (4068748)Instructions burned: 201 (million)
% 3.09/1.15 % (4068761)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=1817258554:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 3.09/1.15 % (4068761)Instruction limit reached!
% 3.09/1.15 % (4068761)------------------------------
% 3.09/1.15 % (4068761)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.09/1.15 % (4068761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/1.15 % (4068761)CaDiCaL version: 2.1.3
% 3.09/1.15 % (4068761)Termination reason: Instruction limit
% 3.09/1.15 % (4068761)Termination phase: Property scanning
% 3.09/1.15 % (4068761)Time elapsed: 0.013 s
% 3.09/1.15 % (4068761)Peak memory usage: 86 MB
% 3.09/1.15 % (4068761)Instructions burned: 32 (million)
% 3.09/1.15 % (4068762)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=4080742731:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 3.09/1.15 % (4068765)ott+1010_8_to=lpo:sil=128000:si=on:norm_ineq=on:sp=unary_frequency:sos=on:gve=cautious:spb=goal_then_units:uwa=alasca_main_floor:tha=some:random_seed=690613298:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 3.09/1.15 % (4068762)Instruction limit reached!
% 3.09/1.15 % (4068762)------------------------------
% 3.09/1.15 % (4068762)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.09/1.15 % (4068762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/1.15 % (4068762)CaDiCaL version: 2.1.3
% 3.09/1.15 % (4068762)Termination reason: Instruction limit
% 3.09/1.15 % (4068762)Termination phase: Saturation
% 3.09/1.15 % (4068762)Time elapsed: 0.011 s
% 3.09/1.15 % (4068762)Peak memory usage: 90 MB
% 3.09/1.15 % (4068762)Instructions burned: 17 (million)
% 3.09/1.15 % (4068763)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=1489703313:i=24:canc=force:rtra=on_2998 on theBenchmark for (2998ds/24Mi)
% 3.09/1.15 % (4068765)Instruction limit reached!
% 3.09/1.15 % (4068765)------------------------------
% 3.09/1.15 % (4068765)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.09/1.15 % (4068765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/1.15 % (4068765)CaDiCaL version: 2.1.3
% 3.09/1.15 % (4068765)Termination reason: Instruction limit
% 3.09/1.15 % (4068765)Termination phase: Saturation
% 3.09/1.15 % (4068765)Time elapsed: 0.011 s
% 3.09/1.15 % (4068765)Peak memory usage: 89 MB
% 3.09/1.15 % (4068765)Instructions burned: 30 (million)
% 3.09/1.15 % (4068763)Also succeeded, but the first one will report.
% 3.09/1.15 % (4068747)Instruction limit reached!
% 3.09/1.15 % (4068747)------------------------------
% 3.09/1.15 % (4068747)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.09/1.15 % (4068747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/1.15 % (4068747)CaDiCaL version: 2.1.3
% 3.09/1.15 % (4068747)Termination reason: Instruction limit
% 3.09/1.15 % (4068747)Termination phase: Saturation
% 3.09/1.15 % (4068747)Time elapsed: 0.190 s
% 3.09/1.15 % (4068747)Peak memory usage: 117 MB
% 3.09/1.15 % (4068747)Instructions burned: 307 (million)
% 3.09/1.15 % (4068773)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=793985707:i=4:ep=RST:ins=2:rtra=on_2996 on theBenchmark for (2996ds/4Mi)
% 3.09/1.15 % (4068766)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=2758356170:i=85:gtgl=4:rtra=on:gtg=exists_sym_2997 on theBenchmark for (2997ds/85Mi)
% 3.09/1.15 % (4068773)Instruction limit reached!
% 3.09/1.15 % (4068773)------------------------------
% 3.09/1.15 % (4068773)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.09/1.15 % (4068773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/1.15 % (4068773)CaDiCaL version: 2.1.3
% 3.09/1.15 % (4068773)Termination reason: Instruction limit
% 3.09/1.15 % (4068773)Termination phase: Saturation
% 3.09/1.15 % (4068773)Time elapsed: 0.002 s
% 3.09/1.15 % (4068773)Peak memory usage: 88 MB
% 3.09/1.15 % (4068773)Instructions burned: 6 (million)
% 3.09/1.15 % (4068769)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=2782338312:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2996 on theBenchmark for (2996ds/2Mi)
% 3.09/1.15 % (4068769)Instruction limit reached!
% 3.09/1.15 % (4068769)------------------------------
% 3.09/1.15 % (4068769)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.09/1.15 % (4068769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/1.15 % (4068769)CaDiCaL version: 2.1.3
% 3.09/1.15 % (4068769)Termination reason: Instruction limit
% 3.09/1.15 % (4068769)Termination phase: Preprocessing 3
% 3.09/1.15 % (4068769)Time elapsed: 0.002 s
% 3.09/1.15 % (4068769)Peak memory usage: 86 MB
% 3.09/1.15 % (4068769)Instructions burned: 2 (million)
% 3.09/1.15 % (4068772)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=949654722:i=181:rtra=on:ss=axioms:ev=cautious_2996 on theBenchmark for (2996ds/181Mi)
% 3.09/1.15 % (4068766)Instruction limit reached!
% 3.09/1.15 % (4068766)------------------------------
% 3.09/1.15 % (4068766)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.09/1.15 % (4068766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/1.15 % (4068766)CaDiCaL version: 2.1.3
% 3.09/1.15 % (4068766)Termination reason: Instruction limit
% 3.09/1.15 % (4068766)Termination phase: Saturation
% 3.09/1.15 % (4068766)Time elapsed: 0.042 s
% 3.09/1.15 % (4068766)Peak memory usage: 89 MB
% 3.09/1.15 % (4068766)Instructions burned: 85 (million)
% 3.09/1.15 % (4068751)Refutation found. Thanks to Tanya!
% 3.09/1.15 % SZS status Theorem for theBenchmark
% 3.09/1.15 % SZS output start Proof for theBenchmark
% See solution above
% 3.97/1.33 % (4068751)------------------------------
% 3.97/1.33 % (4068751)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.97/1.33 % (4068751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.97/1.33 % (4068751)CaDiCaL version: 2.1.3
% 3.97/1.33 % (4068751)Termination reason: Refutation
% 3.97/1.33 % (4068751)Time elapsed: 0.054 s
% 3.97/1.33 % (4068751)Peak memory usage: 117 MB
% 3.97/1.33 % (4068751)Instructions burned: 42 (million)
% 3.97/1.33 % (4068751)------------------------------
% 3.97/1.33 % (4068751)------------------------------
% 3.97/1.33 % (4068741)Success in time 0.479 s
% 3.97/1.33 % Vampire exiting
%------------------------------------------------------------------------------