%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWX113_1 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n026.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 01:46:30 PM UTC 2026
% Result : Theorem 0.63s 0.39s
% Output : Refutation 0.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 5
% Syntax : Number of formulae : 85 ( 27 unt; 0 typ; 1 def)
% Number of atoms : 388 ( 214 equ)
% Maximal formula atoms : 13 ( 4 avg)
% Number of connectives : 456 ( 153 ~; 140 |; 151 &)
% ( 3 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 131 ( 50 atm; 0 fun; 25 num; 56 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 : 21 ( 17 usr; 2 prp; 0-3 aty)
% Number of functors : 51 ( 50 usr; 14 con; 0-3 aty)
% Number of variables : 273 ( 0 sgn 161 !; 112 ?; 273 :)
% 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 > $int ).
tff(func_def_11,type,
sK4: general > symbol ).
tff(func_def_12,type,
sK5: ( general * general ) > general ).
tff(func_def_13,type,
sK6: ( general * general ) > general ).
tff(func_def_14,type,
sK7: ( general * general ) > general ).
tff(func_def_15,type,
sK8: ( general * general ) > general ).
tff(func_def_16,type,
sK9: ( general * general ) > general ).
tff(func_def_17,type,
sK10: ( general * general ) > general ).
tff(func_def_18,type,
sK11: ( general * general * general ) > general ).
tff(func_def_19,type,
sK12: ( general * general * general ) > general ).
tff(func_def_20,type,
sK13: ( general * general * general ) > general ).
tff(func_def_21,type,
sK14: ( general * general * general ) > general ).
tff(func_def_22,type,
sK15: ( general * general * general ) > general ).
tff(func_def_23,type,
sK16: ( general * general * general ) > general ).
tff(func_def_24,type,
sK17: ( general * general * general ) > general ).
tff(func_def_25,type,
sK18: ( general * general * general ) > $int ).
tff(func_def_26,type,
sK19: ( general * general * general ) > $int ).
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 ) > $int ).
tff(func_def_34,type,
sK27: ( general * general * general ) > $int ).
tff(func_def_35,type,
sK28: ( general * general * general ) > general ).
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 ) > $int ).
tff(func_def_41,type,
sK34: ( general * general * general ) > $int ).
tff(func_def_42,type,
sK35: ( general * general * general ) > $int ).
tff(func_def_43,type,
sK36: ( general * general * general ) > $int ).
tff(func_def_44,type,
sK37: ( general * general * general ) > $int ).
tff(func_def_45,type,
sK38: general ).
tff(func_def_46,type,
sK39: general ).
tff(func_def_47,type,
sK40: general ).
tff(func_def_48,type,
sK41: general ).
tff(func_def_49,type,
sK42: general ).
tff(func_def_50,type,
sK43: general ).
tff(func_def_51,type,
sK44: general ).
tff(func_def_52,type,
sK45: $int ).
tff(func_def_53,type,
sK46: $int ).
tff(func_def_54,type,
sK47: $int ).
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] :
( in_building(X0,X1)
<=> ? [X2: general,X3: general,X4: general] :
( ( X0 = X2 )
& ( X1 = X3 )
& ? [X5: general,X6: general,X7: general] :
( ( X5 = X2 )
& ( X6 = X4 )
& ( X7 = X3 )
& in(X5,X6,X7) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_4_completed_definition_of_in_building_2) ).
tff(f21,axiom,
! [X0: general,X1: general] :
( in_building_p(X0,X1)
<=> ? [X2: general,X3: general,X4: general] :
( ( X0 = X2 )
& ( X1 = X3 )
& ? [X5: general,X6: general,X7: general] :
( ( X5 = X2 )
& ( X6 = X4 )
& ( X7 = X3 )
& in(X5,X6,X7) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_5_completed_definition_of_in_building_2) ).
tff(f23,axiom,
! [X0: general,X1: general] :
( ( ? [X2: general,X3: general] :
( ( X2 = X0 )
& ( X3 = X1 )
& ~ in_building_p(X2,X3) )
& ? [X2: general] :
( ( X2 = X0 )
& person(X2) )
& ? [X2: general,X3: general] :
( ( X2 = X1 )
& ? [X4: $int,X5: $int,X6: $int] :
( ( X4 = 0 )
& ( X5 = h_i )
& ( X3 = f__integer__(X6) )
& $lesseq(X4,X6)
& $lesseq(X6,X5) )
& ( X2 = X3 ) ) )
=> $false ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_7_constraint_1) ).
tff(f26,conjecture,
! [X0: general,X1: general] :
( ( ? [X2: general,X3: general] :
( ( X2 = X0 )
& ( X3 = X1 )
& ~ in_building(X2,X3) )
& ? [X2: general] :
( ( X2 = X0 )
& person(X2) )
& ? [X2: general,X3: general] :
( ( X2 = X1 )
& ? [X4: $int,X5: $int,X6: $int] :
( ( X4 = 0 )
& ( X5 = h_i )
& ( X3 = f__integer__(X6) )
& $lesseq(X4,X6)
& $lesseq(X6,X5) )
& ( X2 = X3 ) ) )
=> $false ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_10_constraint_1) ).
tff(f27,negated_conjecture,
~ ! [X0: general,X1: general] :
( ( ? [X2: general,X3: general] :
( ( X2 = X0 )
& ( X3 = X1 )
& ~ in_building(X2,X3) )
& ? [X2: general] :
( ( X2 = X0 )
& person(X2) )
& ? [X2: general,X3: general] :
( ( X2 = X1 )
& ? [X4: $int,X5: $int,X6: $int] :
( ( X4 = 0 )
& ( X5 = h_i )
& ( X3 = f__integer__(X6) )
& $lesseq(X4,X6)
& $lesseq(X6,X5) )
& ( X2 = X3 ) ) )
=> $false ),
inference(negated_conjecture,[status(cth)],[f26]) ).
tff(f30,plain,
! [X0: general,X1: general] :
( ( ? [X2: general,X3: general] :
( ( X2 = X0 )
& ( X3 = X1 )
& ~ in_building_p(X2,X3) )
& ? [X2: general] :
( ( X2 = X0 )
& person(X2) )
& ? [X2: general,X3: general] :
( ( X2 = X1 )
& ? [X4: $int,X5: $int,X6: $int] :
( ( X4 = 0 )
& ( X5 = h_i )
& ( X3 = f__integer__(X6) )
& ~ $less(X6,X4)
& ~ $less(X5,X6) )
& ( X2 = X3 ) ) )
=> $false ),
inference(theory_normalization,[],[f23]) ).
tff(f32,plain,
~ ! [X0: general,X1: general] :
( ( ? [X2: general,X3: general] :
( ( X2 = X0 )
& ( X3 = X1 )
& ~ in_building(X2,X3) )
& ? [X2: general] :
( ( X2 = X0 )
& person(X2) )
& ? [X2: general,X3: general] :
( ( X2 = X1 )
& ? [X4: $int,X5: $int,X6: $int] :
( ( X4 = 0 )
& ( X5 = h_i )
& ( X3 = f__integer__(X6) )
& ~ $less(X6,X4)
& ~ $less(X5,X6) )
& ( X2 = X3 ) ) )
=> $false ),
inference(theory_normalization,[],[f27]) ).
tff(f47,plain,
! [X0: general,X1: general] :
( ( ? [X2: general,X3: general] :
( ( X2 = X0 )
& ( X3 = X1 )
& ~ in_building_p(X2,X3) )
& ? [X4: general] :
( ( X0 = X4 )
& person(X4) )
& ? [X5: general,X6: general] :
( ( X1 = X5 )
& ? [X7: $int,X8: $int,X9: $int] :
( ( 0 = X7 )
& ( h_i = X8 )
& ( f__integer__(X9) = X6 )
& ~ $less(X9,X7)
& ~ $less(X8,X9) )
& ( X5 = X6 ) ) )
=> $false ),
inference(rectify,[],[f30]) ).
tff(f48,plain,
! [X0: general,X1: general] :
~ ( ? [X2: general,X3: general] :
( ( X2 = X0 )
& ( X3 = X1 )
& ~ in_building_p(X2,X3) )
& ? [X4: general] :
( ( X0 = X4 )
& person(X4) )
& ? [X5: general,X6: general] :
( ( X1 = X5 )
& ? [X7: $int,X8: $int,X9: $int] :
( ( 0 = X7 )
& ( h_i = X8 )
& ( f__integer__(X9) = X6 )
& ~ $less(X9,X7)
& ~ $less(X8,X9) )
& ( X5 = X6 ) ) ),
inference(true_and_false_elimination,[],[f47]) ).
tff(f52,plain,
~ ! [X0: general,X1: general] :
( ( ? [X2: general,X3: general] :
( ( X2 = X0 )
& ( X3 = X1 )
& ~ in_building(X2,X3) )
& ? [X4: general] :
( ( X0 = X4 )
& person(X4) )
& ? [X5: general,X6: general] :
( ( X1 = X5 )
& ? [X7: $int,X8: $int,X9: $int] :
( ( 0 = X7 )
& ( h_i = X8 )
& ( f__integer__(X9) = X6 )
& ~ $less(X9,X7)
& ~ $less(X8,X9) )
& ( X5 = X6 ) ) )
=> $false ),
inference(rectify,[],[f32]) ).
tff(f53,plain,
~ ! [X0: general,X1: general] :
~ ( ? [X2: general,X3: general] :
( ( X2 = X0 )
& ( X3 = X1 )
& ~ in_building(X2,X3) )
& ? [X4: general] :
( ( X0 = X4 )
& person(X4) )
& ? [X5: general,X6: general] :
( ( X1 = X5 )
& ? [X7: $int,X8: $int,X9: $int] :
( ( 0 = X7 )
& ( h_i = X8 )
& ( f__integer__(X9) = X6 )
& ~ $less(X9,X7)
& ~ $less(X8,X9) )
& ( X5 = X6 ) ) ),
inference(true_and_false_elimination,[],[f52]) ).
tff(f54,plain,
! [X0: general,X1: general] :
( in_building_p(X0,X1)
=> ? [X2: general,X3: general,X4: general] :
( ( X0 = X2 )
& ( X1 = X3 )
& ? [X5: general,X6: general,X7: general] :
( ( X5 = X2 )
& ( X6 = X4 )
& ( X7 = X3 )
& in(X5,X6,X7) ) ) ),
inference(unused_predicate_definition_removal,[],[f21]) ).
tff(f55,plain,
! [X0: general,X1: general] :
( ? [X2: general,X3: general,X4: general] :
( ( X0 = X2 )
& ( X1 = X3 )
& ? [X5: general,X6: general,X7: general] :
( ( X5 = X2 )
& ( X6 = X4 )
& ( X7 = X3 )
& in(X5,X6,X7) ) )
=> in_building(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f20]) ).
tff(f68,plain,
! [X0: general,X1: general] :
( in_building(X0,X1)
| ! [X2: general,X3: general,X4: general] :
( ( X0 != X2 )
| ( X1 != X3 )
| ! [X5: general,X6: general,X7: general] :
( ( X2 != X5 )
| ( X4 != X6 )
| ( X3 != X7 )
| ~ in(X5,X6,X7) ) ) ),
inference(ennf_transformation,[],[f55]) ).
tff(f69,plain,
! [X0: general,X1: general] :
( ? [X2: general,X3: general,X4: general] :
( ( X0 = X2 )
& ( X1 = X3 )
& ? [X5: general,X6: general,X7: general] :
( ( X5 = X2 )
& ( X6 = X4 )
& ( X7 = X3 )
& in(X5,X6,X7) ) )
| ~ in_building_p(X0,X1) ),
inference(ennf_transformation,[],[f54]) ).
tff(f71,plain,
! [X0: general,X1: general] :
( ! [X2: general,X3: general] :
( ( X0 != X2 )
| ( X1 != X3 )
| in_building_p(X2,X3) )
| ! [X4: general] :
( ( X0 != X4 )
| ~ person(X4) )
| ! [X5: general,X6: general] :
( ( X1 != X5 )
| ! [X7: $int,X8: $int,X9: $int] :
( ( 0 != X7 )
| ( h_i != X8 )
| ( f__integer__(X9) != X6 )
| $less(X9,X7)
| $less(X8,X9) )
| ( X5 != X6 ) ) ),
inference(ennf_transformation,[],[f48]) ).
tff(f73,plain,
? [X0: general,X1: general] :
( ? [X2: general,X3: general] :
( ( X2 = X0 )
& ( X3 = X1 )
& ~ in_building(X2,X3) )
& ? [X4: general] :
( ( X0 = X4 )
& person(X4) )
& ? [X5: general,X6: general] :
( ( X1 = X5 )
& ? [X7: $int,X8: $int,X9: $int] :
( ( 0 = X7 )
& ( h_i = X8 )
& ( f__integer__(X9) = X6 )
& ~ $less(X9,X7)
& ~ $less(X8,X9) )
& ( X5 = X6 ) ) ),
inference(ennf_transformation,[],[f53]) ).
tff(f83,plain,
! [X0: general,X1: general] :
( ( ( sK5(X0,X1) = X0 )
& ( sK6(X0,X1) = X1 )
& ( sK5(X0,X1) = sK8(X0,X1) )
& ( sK7(X0,X1) = sK9(X0,X1) )
& ( sK6(X0,X1) = sK10(X0,X1) )
& in(sK8(X0,X1),sK9(X0,X1),sK10(X0,X1)) )
| ~ in_building_p(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6,sK7,sK8,sK9,sK10]),skolemize(X2,sK5(X0,X1)),skolemize(X3,sK6(X0,X1)),skolemize(X4,sK7(X0,X1)),skolemize(X5,sK8(X0,X1)),skolemize(X6,sK9(X0,X1)),skolemize(X7,sK10(X0,X1))],[f69]) ).
tff(f95,plain,
( ( sK38 = sK40 )
& ( sK39 = sK41 )
& ~ in_building(sK40,sK41)
& ( sK38 = sK42 )
& person(sK42)
& ( sK39 = sK43 )
& ( 0 = sK45 )
& ( h_i = sK46 )
& ( sK44 = f__integer__(sK47) )
& ~ $less(sK47,sK45)
& ~ $less(sK46,sK47)
& ( sK43 = sK44 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK38,sK39,sK40,sK41,sK42,sK43,sK44,sK45,sK46,sK47]),skolemize(X0,sK38),skolemize(X1,sK39),skolemize(X2,sK40),skolemize(X3,sK41),skolemize(X4,sK42),skolemize(X5,sK43),skolemize(X6,sK44),skolemize(X7,sK45),skolemize(X8,sK46),skolemize(X9,sK47)],[f73]) ).
tff(f116,plain,
! [X2: general,X3: general,X0: general,X1: general,X6: general,X7: general,X4: general,X5: general] :
( in_building(X0,X1)
| ( X0 != X2 )
| ( X1 != X3 )
| ( X2 != X5 )
| ( X4 != X6 )
| ( X3 != X7 )
| ~ in(X5,X6,X7) ),
inference(cnf_transformation,[],[f68]) ).
tff(f117,plain,
! [X0: general,X1: general] :
( in(sK8(X0,X1),sK9(X0,X1),sK10(X0,X1))
| ~ in_building_p(X0,X1) ),
inference(cnf_transformation,[],[f83]) ).
tff(f118,plain,
! [X0: general,X1: general] :
( ~ in_building_p(X0,X1)
| ( sK6(X0,X1) = sK10(X0,X1) ) ),
inference(cnf_transformation,[],[f83]) ).
tff(f120,plain,
! [X0: general,X1: general] :
( ~ in_building_p(X0,X1)
| ( sK5(X0,X1) = sK8(X0,X1) ) ),
inference(cnf_transformation,[],[f83]) ).
tff(f121,plain,
! [X0: general,X1: general] :
( ~ in_building_p(X0,X1)
| ( sK6(X0,X1) = X1 ) ),
inference(cnf_transformation,[],[f83]) ).
tff(f122,plain,
! [X0: general,X1: general] :
( ~ in_building_p(X0,X1)
| ( sK5(X0,X1) = X0 ) ),
inference(cnf_transformation,[],[f83]) ).
tff(f124,plain,
! [X2: general,X3: general,X0: general,X1: general,X8: $int,X6: general,X9: $int,X7: $int,X4: general,X5: general] :
( ( X0 != X2 )
| ( X1 != X3 )
| in_building_p(X2,X3)
| ( X0 != X4 )
| ~ person(X4)
| ( X1 != X5 )
| ( 0 != X7 )
| ( h_i != X8 )
| ( f__integer__(X9) != X6 )
| $less(X9,X7)
| $less(X8,X9)
| ( X5 != X6 ) ),
inference(cnf_transformation,[],[f71]) ).
tff(f167,plain,
sK43 = sK44,
inference(cnf_transformation,[],[f95]) ).
tff(f168,plain,
~ $less(sK46,sK47),
inference(cnf_transformation,[],[f95]) ).
tff(f169,plain,
~ $less(sK47,sK45),
inference(cnf_transformation,[],[f95]) ).
tff(f170,plain,
sK44 = f__integer__(sK47),
inference(cnf_transformation,[],[f95]) ).
tff(f171,plain,
h_i = sK46,
inference(cnf_transformation,[],[f95]) ).
tff(f172,plain,
0 = sK45,
inference(cnf_transformation,[],[f95]) ).
tff(f173,plain,
sK39 = sK43,
inference(cnf_transformation,[],[f95]) ).
tff(f174,plain,
person(sK42),
inference(cnf_transformation,[],[f95]) ).
tff(f175,plain,
sK38 = sK42,
inference(cnf_transformation,[],[f95]) ).
tff(f176,plain,
~ in_building(sK40,sK41),
inference(cnf_transformation,[],[f95]) ).
tff(f177,plain,
sK39 = sK41,
inference(cnf_transformation,[],[f95]) ).
tff(f178,plain,
sK38 = sK40,
inference(cnf_transformation,[],[f95]) ).
tff(f180,plain,
! [X2: general,X3: general,X0: general,X1: general,X8: $int,X6: general,X9: $int,X7: $int,X4: general,X5: general] :
( ( X0 != X2 )
| ( X1 != X3 )
| in_building_p(X2,X3)
| ( X0 != X4 )
| ~ person(X4)
| ( X1 != X5 )
| ( 0 != X7 )
| ( sK46 != X8 )
| ( f__integer__(X9) != X6 )
| $less(X9,X7)
| $less(X8,X9)
| ( X5 != X6 ) ),
inference(definition_unfolding,[],[f124,f171]) ).
tff(f183,plain,
sK40 = sK42,
inference(definition_unfolding,[],[f175,f178]) ).
tff(f184,plain,
sK41 = sK44,
inference(definition_unfolding,[],[f173,f177,f167]) ).
tff(f185,plain,
~ $less(sK47,0),
inference(definition_unfolding,[],[f169,f172]) ).
tff(f189,plain,
! [X2: general,X3: general,X1: general,X6: general,X7: general,X4: general,X5: general] :
( in_building(X2,X1)
| ( X1 != X3 )
| ( X2 != X5 )
| ( X4 != X6 )
| ( X3 != X7 )
| ~ in(X5,X6,X7) ),
inference(equality_resolution,[],[f116]) ).
tff(f190,plain,
! [X2: general,X3: general,X6: general,X7: general,X4: general,X5: general] :
( in_building(X2,X3)
| ( X2 != X5 )
| ( X4 != X6 )
| ( X3 != X7 )
| ~ in(X5,X6,X7) ),
inference(equality_resolution,[],[f189]) ).
tff(f191,plain,
! [X3: general,X6: general,X7: general,X4: general,X5: general] :
( in_building(X5,X3)
| ( X4 != X6 )
| ( X3 != X7 )
| ~ in(X5,X6,X7) ),
inference(equality_resolution,[],[f190]) ).
tff(f192,plain,
! [X3: general,X6: general,X7: general,X5: general] :
( in_building(X5,X3)
| ( X3 != X7 )
| ~ in(X5,X6,X7) ),
inference(equality_resolution,[],[f191]) ).
tff(f193,plain,
! [X6: general,X7: general,X5: general] :
( ~ in(X5,X6,X7)
| in_building(X5,X7) ),
inference(equality_resolution,[],[f192]) ).
tff(f202,plain,
! [X2: general,X3: general,X1: general,X8: $int,X6: general,X9: $int,X7: $int,X4: general,X5: general] :
( ( X1 != X3 )
| in_building_p(X2,X3)
| ( X2 != X4 )
| ~ person(X4)
| ( X1 != X5 )
| ( 0 != X7 )
| ( sK46 != X8 )
| ( f__integer__(X9) != X6 )
| $less(X9,X7)
| $less(X8,X9)
| ( X5 != X6 ) ),
inference(equality_resolution,[],[f180]) ).
tff(f203,plain,
! [X2: general,X3: general,X8: $int,X6: general,X9: $int,X7: $int,X4: general,X5: general] :
( in_building_p(X2,X3)
| ( X2 != X4 )
| ~ person(X4)
| ( X3 != X5 )
| ( 0 != X7 )
| ( sK46 != X8 )
| ( f__integer__(X9) != X6 )
| $less(X9,X7)
| $less(X8,X9)
| ( X5 != X6 ) ),
inference(equality_resolution,[],[f202]) ).
tff(f204,plain,
! [X3: general,X8: $int,X6: general,X9: $int,X7: $int,X4: general,X5: general] :
( in_building_p(X4,X3)
| ~ person(X4)
| ( X3 != X5 )
| ( 0 != X7 )
| ( sK46 != X8 )
| ( f__integer__(X9) != X6 )
| $less(X9,X7)
| $less(X8,X9)
| ( X5 != X6 ) ),
inference(equality_resolution,[],[f203]) ).
tff(f205,plain,
! [X8: $int,X6: general,X9: $int,X7: $int,X4: general,X5: general] :
( in_building_p(X4,X5)
| ~ person(X4)
| ( 0 != X7 )
| ( sK46 != X8 )
| ( f__integer__(X9) != X6 )
| $less(X9,X7)
| $less(X8,X9)
| ( X5 != X6 ) ),
inference(equality_resolution,[],[f204]) ).
tff(f206,plain,
! [X8: $int,X6: general,X9: $int,X4: general,X5: general] :
( in_building_p(X4,X5)
| ~ person(X4)
| ( sK46 != X8 )
| ( f__integer__(X9) != X6 )
| $less(X9,0)
| $less(X8,X9)
| ( X5 != X6 ) ),
inference(equality_resolution,[],[f205]) ).
tff(f207,plain,
! [X6: general,X9: $int,X4: general,X5: general] :
( in_building_p(X4,X5)
| ~ person(X4)
| ( f__integer__(X9) != X6 )
| $less(X9,0)
| $less(sK46,X9)
| ( X5 != X6 ) ),
inference(equality_resolution,[],[f206]) ).
tff(f208,plain,
! [X9: $int,X4: general,X5: general] :
( in_building_p(X4,X5)
| ~ person(X4)
| $less(X9,0)
| $less(sK46,X9)
| ( f__integer__(X9) != X5 ) ),
inference(equality_resolution,[],[f207]) ).
tff(f209,plain,
! [X9: $int,X4: general] :
( in_building_p(X4,f__integer__(X9))
| ~ person(X4)
| $less(X9,0)
| $less(sK46,X9) ),
inference(equality_resolution,[],[f208]) ).
tff(f246,plain,
person(sK40),
inference(superposition,[],[f174,f183]) ).
tff(f247,plain,
sK41 = f__integer__(sK47),
inference(forward_demodulation,[],[f170,f184]) ).
tff(f248,plain,
! [X0: general] :
( in_building_p(X0,sK41)
| ~ person(X0)
| $less(sK47,0)
| $less(sK46,sK47) ),
inference(superposition,[],[f209,f247]) ).
tff(f249,plain,
! [X0: general] :
( in_building_p(X0,sK41)
| ~ person(X0)
| $less(sK46,sK47) ),
inference(forward_subsumption_resolution,[],[f248,f185]) ).
tff(f250,plain,
! [X0: general] :
( in_building_p(X0,sK41)
| ~ person(X0) ),
inference(forward_subsumption_resolution,[],[f249,f168]) ).
tff(f328,plain,
! [X0: general] :
( ~ person(X0)
| ( sK41 = sK6(X0,sK41) ) ),
inference(resolution,[],[f121,f250]) ).
tff(f333,plain,
! [X0: general] :
( ~ person(X0)
| ( sK5(X0,sK41) = X0 ) ),
inference(resolution,[],[f122,f250]) ).
tff(f340,plain,
sK41 = sK6(sK40,sK41),
inference(resolution,[],[f328,f246]) ).
tff(f493,plain,
! [X0: general] :
( ~ person(X0)
| ( sK6(X0,sK41) = sK10(X0,sK41) ) ),
inference(resolution,[],[f118,f250]) ).
tff(f508,plain,
sK40 = sK5(sK40,sK41),
inference(resolution,[],[f333,f246]) ).
tff(f636,plain,
sK6(sK40,sK41) = sK10(sK40,sK41),
inference(resolution,[],[f493,f246]) ).
tff(f637,plain,
sK41 = sK10(sK40,sK41),
inference(forward_demodulation,[],[f636,f340]) ).
tff(f643,definition,
( spl48_13
<=> in_building_p(sK40,sK41) ),
introduced(definition,[new_symbols(definition,[spl48_13])],[avatar_definition]) ).
tff(f644,plain,
( in_building_p(sK40,sK41)
| ~ spl48_13 ),
inference(avatar_component_clause,[],[f643]) ).
tff(f645,plain,
( ~ in_building_p(sK40,sK41)
| spl48_13 ),
inference(avatar_component_clause,[],[f643]) ).
tff(f651,plain,
( ~ person(sK40)
| spl48_13 ),
inference(resolution,[],[f645,f250]) ).
tff(f652,plain,
( $false
| spl48_13 ),
inference(forward_subsumption_resolution,[],[f651,f246]) ).
tff(f653,plain,
spl48_13,
inference(avatar_contradiction_clause,[],[f652]) ).
tff(f655,plain,
( ( sK5(sK40,sK41) = sK8(sK40,sK41) )
| ~ spl48_13 ),
inference(resolution,[],[f644,f120]) ).
tff(f661,plain,
( ( sK40 = sK8(sK40,sK41) )
| ~ spl48_13 ),
inference(forward_demodulation,[],[f655,f508]) ).
tff(f670,plain,
( in(sK40,sK9(sK40,sK41),sK10(sK40,sK41))
| ~ in_building_p(sK40,sK41)
| ~ spl48_13 ),
inference(superposition,[],[f117,f661]) ).
tff(f671,plain,
( in(sK40,sK9(sK40,sK41),sK10(sK40,sK41))
| ~ spl48_13 ),
inference(forward_subsumption_resolution,[],[f670,f644]) ).
tff(f672,plain,
( in(sK40,sK9(sK40,sK41),sK41)
| ~ spl48_13 ),
inference(forward_demodulation,[],[f671,f637]) ).
tff(f680,plain,
( in_building(sK40,sK41)
| ~ spl48_13 ),
inference(resolution,[],[f672,f193]) ).
tff(f681,plain,
( $false
| ~ spl48_13 ),
inference(forward_subsumption_resolution,[],[f680,f176]) ).
tff(f682,plain,
~ spl48_13,
inference(avatar_contradiction_clause,[],[f681]) ).
cnf(s10,plain,
spl48_13,
inference(sat_conversion,[],[f653]) ).
cnf(s11,plain,
~ spl48_13,
inference(sat_conversion,[],[f682]) ).
cnf(s12,plain,
$false,
inference(rat,[],[s10,s11]) ).
tff(f683,plain,
$false,
inference(avatar_sat_refutation,[],[s12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWX113_1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.26 % Computer : n026.cluster.edu
% 0.11/0.26 % Model : x86_64 x86_64
% 0.11/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.26 % Memory : 8046.5625MB
% 0.11/0.26 % OS : Linux 6.8.0-71-generic
% 0.11/0.26 % CPULimit : 300
% 0.11/0.26 % WCLimit : 300
% 0.11/0.26 % DateTime : Mon Sep 28 15:04:41 UTC 2026
% 0.11/0.27 % CPUTime :
% 0.11/0.27 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.26/0.31 Running first-order model finding
% 0.26/0.31 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.63/0.39 % (3917751)Will run a generic schedule for satisfiability detection.
% 0.63/0.39 % (3917762)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=93107923:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.63/0.39 % (3917757)% WARNING: option uhcvi not known.
% 0.63/0.39 % (3917757)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1137175716:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.63/0.39 % (3917756)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=903409949_2999 on theBenchmark for (2999ds/0Mi)
% 0.63/0.39 % (3917758)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1128799710:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.63/0.39 % (3917760)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2426494549:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.63/0.39 % (3917761)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2339945027:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.63/0.39 % (3917759)dis+10_1_sil=32000:sp=arity:random_seed=1886173688:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.63/0.39 % (3917756)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.63/0.39 % (3917756)Terminated due to inappropriate strategy.
% 0.63/0.39 % (3917756)------------------------------
% 0.63/0.39 % (3917756)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.39 % (3917756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.39 % (3917756)CaDiCaL version: 2.1.3
% 0.63/0.39 % (3917756)Termination reason: Inappropriate
% 0.63/0.39 % (3917756)Time elapsed: 0.006 s
% 0.63/0.39 % (3917756)Peak memory usage: 11 MB
% 0.63/0.39 % (3917756)Instructions burned: 5 (million)
% 0.63/0.39 % (3917756)------------------------------
% 0.63/0.39 % (3917756)------------------------------
% 0.63/0.39 % (3917759) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3917751-3917759"...
% 0.63/0.39 % (3917759)...printing done.
% 0.63/0.39 % (3917759)Refutation found. Thanks to Tanya!
% 0.63/0.39 % SZS status Theorem for theBenchmark
% 0.63/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.63/0.39 % (3917759)------------------------------
% 0.63/0.39 % (3917759)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.39 % (3917759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.39 % (3917759)CaDiCaL version: 2.1.3
% 0.63/0.39 % (3917759)Termination reason: Refutation
% 0.63/0.39 % (3917759)Time elapsed: 0.032 s
% 0.63/0.39 % (3917759)Peak memory usage: 13 MB
% 0.63/0.39 % (3917759)Instructions burned: 26 (million)
% 0.63/0.39 % (3917751)Success in time 0.074 s
% 0.63/0.39 % Vampire exiting
%------------------------------------------------------------------------------