%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP018_2 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n020.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 11:35:05 AM UTC 2026
% Result : Theorem 2.84s 0.94s
% Output : Refutation 2.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 23
% Syntax : Number of formulae : 96 ( 71 unt; 0 typ; 14 def)
% Number of atoms : 352 ( 60 equ)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 57 ( 29 ~; 23 |; 0 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of FOOLs : 228 ( 228 fml; 0 var)
% Number of types : 5 ( 3 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 16 ( 14 usr; 13 prp; 0-2 aty)
% Number of functors : 29 ( 29 usr; 9 con; 0-3 aty)
% Number of variables : 51 ( 0 sgn 49 !; 2 ?; 51 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
del: $tType ).
tff(type_def_6,type,
tp__ty_2Erealax_2Ereal: $tType ).
tff(type_def_7,type,
tp__o: $tType ).
tff(func_def_0,type,
bool: del ).
tff(func_def_1,type,
ind: del ).
tff(func_def_2,type,
arr: ( del * del ) > del ).
tff(func_def_4,type,
k: ( del * $i ) > $i ).
tff(func_def_5,type,
i: del > $i ).
tff(func_def_6,type,
ty_2Erealax_2Ereal: del ).
tff(func_def_7,type,
inj__ty_2Erealax_2Ereal: tp__ty_2Erealax_2Ereal > $i ).
tff(func_def_8,type,
surj__ty_2Erealax_2Ereal: $i > tp__ty_2Erealax_2Ereal ).
tff(func_def_10,type,
fo__c_2Erealax_2Ereal__neg: tp__ty_2Erealax_2Ereal > tp__ty_2Erealax_2Ereal ).
tff(func_def_11,type,
ty_2Ebinary__ieee_2Efloat: ( del * del ) > del ).
tff(func_def_12,type,
c_2Ebinary__ieee_2Efloat__negate: ( del * del ) > $i ).
tff(func_def_13,type,
ty_2Epair_2Eprod: ( del * del ) > del ).
tff(func_def_14,type,
ty_2Ebool_2Eitself: del > del ).
tff(func_def_15,type,
c_2Ebinary__ieee_2Efloat__plus__min: ( del * del ) > $i ).
tff(func_def_16,type,
c_2Ebinary__ieee_2Efloat__to__real: ( del * del ) > $i ).
tff(func_def_17,type,
c_2Ebool_2Ethe__value: del > $i ).
tff(func_def_18,type,
c_2Ebinary__ieee_2Eulp: ( del * del ) > $i ).
tff(func_def_19,type,
inj__o: tp__o > $i ).
tff(func_def_20,type,
surj__o: $i > tp__o ).
tff(func_def_22,type,
fo__c_2Ebool_2ET: tp__o ).
tff(func_def_23,type,
c_2Emin_2E_3D: del > $i ).
tff(func_def_24,type,
c_2Ebool_2E_21: del > $i ).
tff(func_def_25,type,
sK0: ( del * $i * $i ) > $i ).
tff(func_def_26,type,
sK1: ( del * $i ) > $i ).
tff(func_def_27,type,
sK2: del ).
tff(func_def_28,type,
sK3: del ).
tff(func_def_30,type,
sF5: del ).
tff(func_def_34,type,
sF9: tp__ty_2Erealax_2Ereal ).
tff(func_def_41,type,
sF16: tp__ty_2Erealax_2Ereal ).
tff(pred_def_1,type,
mem: ( $i * del ) > $o ).
tff(f1,axiom,
! [X0: del,X1: del,X2: $i] :
( mem(X2,arr(X0,X1))
=> ! [X3: $i] :
( mem(X3,X0)
=> mem(ap(X2,X3),X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/ITP001/ITP001_2.ax',ap_tp) ).
tff(f8,axiom,
! [X0: $i] :
( mem(X0,ty_2Erealax_2Ereal)
=> ( X0 = inj__ty_2Erealax_2Ereal(surj__ty_2Erealax_2Ereal(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',stp_iso_mem_ty_2Erealax_2Ereal) ).
tff(f12,axiom,
! [X0: del,X1: del] : mem(c_2Ebinary__ieee_2Efloat__plus__min(X0,X1),arr(ty_2Ebool_2Eitself(ty_2Epair_2Eprod(X0,X1)),ty_2Ebinary__ieee_2Efloat(X0,X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ebinary__ieee_2Efloat__plus__min) ).
tff(f13,axiom,
! [X0: del,X1: del] : mem(c_2Ebinary__ieee_2Efloat__to__real(X0,X1),arr(ty_2Ebinary__ieee_2Efloat(X0,X1),ty_2Erealax_2Ereal)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ebinary__ieee_2Efloat__to__real) ).
tff(f14,axiom,
! [X0: del] : mem(c_2Ebool_2Ethe__value(X0),ty_2Ebool_2Eitself(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ebool_2Ethe__value) ).
tff(f15,axiom,
! [X0: del,X1: del] : mem(c_2Ebinary__ieee_2Eulp(X0,X1),arr(ty_2Ebool_2Eitself(ty_2Epair_2Eprod(X0,X1)),ty_2Erealax_2Ereal)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ebinary__ieee_2Eulp) ).
tff(f26,axiom,
! [X0: del,X1: del,X2: $i] :
( mem(X2,ty_2Ebinary__ieee_2Efloat(X0,X1))
=> ( surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Efloat__to__real(X0,X1),ap(c_2Ebinary__ieee_2Efloat__negate(X0,X1),X2))) = surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Efloat__to__real(X0,X1),X2))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Ebinary__ieee_2Efloat__to__real__negate) ).
tff(f27,axiom,
! [X0: del,X1: del] : ( surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Eulp(X0,X1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X0,X1)))) = surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Efloat__to__real(X0,X1),ap(c_2Ebinary__ieee_2Efloat__plus__min(X0,X1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X0,X1))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Ebinary__ieee_2Eulp) ).
tff(f30,conjecture,
! [X0: del,X1: del] : ( surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(X0,X1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X0,X1))))) = surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Efloat__to__real(X0,X1),ap(c_2Ebinary__ieee_2Efloat__negate(X0,X1),ap(c_2Ebinary__ieee_2Efloat__plus__min(X0,X1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X0,X1)))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Ebinary__ieee_2Eneg__ulp) ).
tff(f31,negated_conjecture,
~ ! [X0: del,X1: del] : ( surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(X0,X1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X0,X1))))) = surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Efloat__to__real(X0,X1),ap(c_2Ebinary__ieee_2Efloat__negate(X0,X1),ap(c_2Ebinary__ieee_2Efloat__plus__min(X0,X1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X0,X1)))))) ),
inference(negated_conjecture,[status(cth)],[f30]) ).
tff(f33,plain,
! [X0: del,X1: del,X2: $i] :
( ! [X3: $i] :
( mem(ap(X2,X3),X1)
| ~ mem(X3,X0) )
| ~ mem(X2,arr(X0,X1)) ),
inference(ennf_transformation,[],[f1]) ).
tff(f40,plain,
! [X0: $i] :
( ( X0 = inj__ty_2Erealax_2Ereal(surj__ty_2Erealax_2Ereal(X0)) )
| ~ mem(X0,ty_2Erealax_2Ereal) ),
inference(ennf_transformation,[],[f8]) ).
tff(f44,plain,
! [X0: del,X1: del,X2: $i] :
( ( surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Efloat__to__real(X0,X1),ap(c_2Ebinary__ieee_2Efloat__negate(X0,X1),X2))) = surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Efloat__to__real(X0,X1),X2))) )
| ~ mem(X2,ty_2Ebinary__ieee_2Efloat(X0,X1)) ),
inference(ennf_transformation,[],[f26]) ).
tff(f46,plain,
? [X0: del,X1: del] : ( surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(X0,X1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X0,X1))))) != surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Efloat__to__real(X0,X1),ap(c_2Ebinary__ieee_2Efloat__negate(X0,X1),ap(c_2Ebinary__ieee_2Efloat__plus__min(X0,X1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X0,X1)))))) ),
inference(ennf_transformation,[],[f31]) ).
tff(f53,plain,
surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(sK2,sK3),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK2,sK3))))) != surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Efloat__to__real(sK2,sK3),ap(c_2Ebinary__ieee_2Efloat__negate(sK2,sK3),ap(c_2Ebinary__ieee_2Efloat__plus__min(sK2,sK3),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK2,sK3)))))),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X0,sK2),skolemize(X1,sK3)],[f46]) ).
tff(f54,plain,
! [X2: $i,X3: $i,X0: del,X1: del] :
( ~ mem(X2,arr(X0,X1))
| ~ mem(X3,X0)
| mem(ap(X2,X3),X1) ),
inference(cnf_transformation,[],[f33]) ).
tff(f63,plain,
! [X0: $i] :
( ~ mem(X0,ty_2Erealax_2Ereal)
| ( inj__ty_2Erealax_2Ereal(surj__ty_2Erealax_2Ereal(X0)) = X0 ) ),
inference(cnf_transformation,[],[f40]) ).
tff(f67,plain,
! [X0: del,X1: del] : mem(c_2Ebinary__ieee_2Efloat__plus__min(X0,X1),arr(ty_2Ebool_2Eitself(ty_2Epair_2Eprod(X0,X1)),ty_2Ebinary__ieee_2Efloat(X0,X1))),
inference(cnf_transformation,[],[f12]) ).
tff(f68,plain,
! [X0: del,X1: del] : mem(c_2Ebinary__ieee_2Efloat__to__real(X0,X1),arr(ty_2Ebinary__ieee_2Efloat(X0,X1),ty_2Erealax_2Ereal)),
inference(cnf_transformation,[],[f13]) ).
tff(f69,plain,
! [X0: del] : mem(c_2Ebool_2Ethe__value(X0),ty_2Ebool_2Eitself(X0)),
inference(cnf_transformation,[],[f14]) ).
tff(f70,plain,
! [X0: del,X1: del] : mem(c_2Ebinary__ieee_2Eulp(X0,X1),arr(ty_2Ebool_2Eitself(ty_2Epair_2Eprod(X0,X1)),ty_2Erealax_2Ereal)),
inference(cnf_transformation,[],[f15]) ).
tff(f84,plain,
! [X2: $i,X0: del,X1: del] :
( ~ mem(X2,ty_2Ebinary__ieee_2Efloat(X0,X1))
| ( surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Efloat__to__real(X0,X1),ap(c_2Ebinary__ieee_2Efloat__negate(X0,X1),X2))) = surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Efloat__to__real(X0,X1),X2))) ) ),
inference(cnf_transformation,[],[f44]) ).
tff(f85,plain,
! [X0: del,X1: del] : ( surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Eulp(X0,X1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X0,X1)))) = surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Efloat__to__real(X0,X1),ap(c_2Ebinary__ieee_2Efloat__plus__min(X0,X1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X0,X1))))) ),
inference(cnf_transformation,[],[f27]) ).
tff(f87,plain,
surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(sK2,sK3),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK2,sK3))))) != surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Efloat__to__real(sK2,sK3),ap(c_2Ebinary__ieee_2Efloat__negate(sK2,sK3),ap(c_2Ebinary__ieee_2Efloat__plus__min(sK2,sK3),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK2,sK3)))))),
inference(cnf_transformation,[],[f53]) ).
tff(f89,definition,
sF4 = c_2Ebinary__ieee_2Eulp(sK2,sK3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
tff(f90,plain,
c_2Ebinary__ieee_2Eulp(sK2,sK3) = sF4,
inference(reorient_equations,[],[f89]) ).
tff(f91,definition,
sF5 = ty_2Epair_2Eprod(sK2,sK3),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
tff(f92,plain,
ty_2Epair_2Eprod(sK2,sK3) = sF5,
inference(reorient_equations,[],[f91]) ).
tff(f93,definition,
sF6 = c_2Ebool_2Ethe__value(sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
tff(f94,plain,
c_2Ebool_2Ethe__value(sF5) = sF6,
inference(reorient_equations,[],[f93]) ).
tff(f95,definition,
sF7 = ap(sF4,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
tff(f96,plain,
ap(sF4,sF6) = sF7,
inference(reorient_equations,[],[f95]) ).
tff(f97,definition,
sF8 = ap(c_2Erealax_2Ereal__neg,sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
tff(f98,plain,
ap(c_2Erealax_2Ereal__neg,sF7) = sF8,
inference(reorient_equations,[],[f97]) ).
tff(f99,definition,
sF9 = surj__ty_2Erealax_2Ereal(sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
tff(f100,plain,
surj__ty_2Erealax_2Ereal(sF8) = sF9,
inference(reorient_equations,[],[f99]) ).
tff(f101,definition,
sF10 = c_2Ebinary__ieee_2Efloat__to__real(sK2,sK3),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
tff(f102,plain,
c_2Ebinary__ieee_2Efloat__to__real(sK2,sK3) = sF10,
inference(reorient_equations,[],[f101]) ).
tff(f103,definition,
sF11 = c_2Ebinary__ieee_2Efloat__negate(sK2,sK3),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
tff(f104,plain,
c_2Ebinary__ieee_2Efloat__negate(sK2,sK3) = sF11,
inference(reorient_equations,[],[f103]) ).
tff(f105,definition,
sF12 = c_2Ebinary__ieee_2Efloat__plus__min(sK2,sK3),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
tff(f106,plain,
c_2Ebinary__ieee_2Efloat__plus__min(sK2,sK3) = sF12,
inference(reorient_equations,[],[f105]) ).
tff(f107,definition,
sF13 = ap(sF12,sF6),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
tff(f108,plain,
ap(sF12,sF6) = sF13,
inference(reorient_equations,[],[f107]) ).
tff(f109,definition,
sF14 = ap(sF11,sF13),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
tff(f110,plain,
ap(sF11,sF13) = sF14,
inference(reorient_equations,[],[f109]) ).
tff(f111,definition,
sF15 = ap(sF10,sF14),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
tff(f112,plain,
ap(sF10,sF14) = sF15,
inference(reorient_equations,[],[f111]) ).
tff(f113,definition,
sF16 = surj__ty_2Erealax_2Ereal(sF15),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
tff(f114,plain,
surj__ty_2Erealax_2Ereal(sF15) = sF16,
inference(reorient_equations,[],[f113]) ).
tff(f115,plain,
sF9 != sF16,
inference(definition_folding,[],[f87,f114,f112,f110,f108,f94,f92,f106,f104,f102,f100,f98,f96,f94,f92,f90]) ).
tff(f118,plain,
mem(sF6,ty_2Ebool_2Eitself(sF5)),
inference(superposition,[],[f69,f94]) ).
tff(f133,plain,
mem(sF10,arr(ty_2Ebinary__ieee_2Efloat(sK2,sK3),ty_2Erealax_2Ereal)),
inference(superposition,[],[f68,f102]) ).
tff(f148,plain,
mem(c_2Ebinary__ieee_2Eulp(sK2,sK3),arr(ty_2Ebool_2Eitself(sF5),ty_2Erealax_2Ereal)),
inference(superposition,[],[f70,f92]) ).
tff(f149,plain,
mem(sF4,arr(ty_2Ebool_2Eitself(sF5),ty_2Erealax_2Ereal)),
inference(forward_demodulation,[],[f148,f90]) ).
tff(f173,plain,
mem(c_2Ebinary__ieee_2Efloat__plus__min(sK2,sK3),arr(ty_2Ebool_2Eitself(sF5),ty_2Ebinary__ieee_2Efloat(sK2,sK3))),
inference(superposition,[],[f67,f92]) ).
tff(f174,plain,
mem(sF12,arr(ty_2Ebool_2Eitself(sF5),ty_2Ebinary__ieee_2Efloat(sK2,sK3))),
inference(forward_demodulation,[],[f173,f106]) ).
tff(f183,plain,
! [X0: $i] :
( mem(ap(sF4,X0),ty_2Erealax_2Ereal)
| ~ mem(X0,ty_2Ebool_2Eitself(sF5)) ),
inference(resolution,[],[f54,f149]) ).
tff(f184,plain,
! [X0: $i] :
( ~ mem(X0,ty_2Ebinary__ieee_2Efloat(sK2,sK3))
| mem(ap(sF10,X0),ty_2Erealax_2Ereal) ),
inference(resolution,[],[f54,f133]) ).
tff(f195,plain,
! [X0: $i] :
( mem(ap(sF12,X0),ty_2Ebinary__ieee_2Efloat(sK2,sK3))
| ~ mem(X0,ty_2Ebool_2Eitself(sF5)) ),
inference(resolution,[],[f174,f54]) ).
tff(f206,definition,
( spl17_1
<=> mem(sF7,ty_2Erealax_2Ereal) ),
introduced(definition,[new_symbols(definition,[spl17_1])],[avatar_definition]) ).
tff(f207,plain,
( mem(sF7,ty_2Erealax_2Ereal)
| ~ spl17_1 ),
inference(avatar_component_clause,[],[f206]) ).
tff(f208,plain,
( ~ mem(sF7,ty_2Erealax_2Ereal)
| spl17_1 ),
inference(avatar_component_clause,[],[f206]) ).
tff(f224,plain,
surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Eulp(sK2,sK3),c_2Ebool_2Ethe__value(sF5))) = surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Efloat__to__real(sK2,sK3),ap(c_2Ebinary__ieee_2Efloat__plus__min(sK2,sK3),c_2Ebool_2Ethe__value(sF5)))),
inference(superposition,[],[f85,f92]) ).
tff(f225,plain,
surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Eulp(sK2,sK3),sF6)) = surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Efloat__to__real(sK2,sK3),ap(c_2Ebinary__ieee_2Efloat__plus__min(sK2,sK3),sF6))),
inference(forward_demodulation,[],[f224,f94]) ).
tff(f227,plain,
surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Eulp(sK2,sK3),sF6)) = surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Efloat__to__real(sK2,sK3),ap(sF12,sF6))),
inference(forward_demodulation,[],[f225,f106]) ).
tff(f229,plain,
surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Eulp(sK2,sK3),sF6)) = surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Efloat__to__real(sK2,sK3),sF13)),
inference(forward_demodulation,[],[f227,f108]) ).
tff(f231,plain,
surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Eulp(sK2,sK3),sF6)) = surj__ty_2Erealax_2Ereal(ap(sF10,sF13)),
inference(forward_demodulation,[],[f229,f102]) ).
tff(f233,plain,
surj__ty_2Erealax_2Ereal(ap(sF4,sF6)) = surj__ty_2Erealax_2Ereal(ap(sF10,sF13)),
inference(forward_demodulation,[],[f231,f90]) ).
tff(f235,plain,
surj__ty_2Erealax_2Ereal(sF7) = surj__ty_2Erealax_2Ereal(ap(sF10,sF13)),
inference(forward_demodulation,[],[f233,f96]) ).
tff(f265,plain,
( mem(sF7,ty_2Erealax_2Ereal)
| ~ mem(sF6,ty_2Ebool_2Eitself(sF5)) ),
inference(superposition,[],[f183,f96]) ).
tff(f266,plain,
( ~ mem(sF6,ty_2Ebool_2Eitself(sF5))
| spl17_1 ),
inference(forward_subsumption_resolution,[],[f265,f208]) ).
tff(f267,plain,
( $false
| spl17_1 ),
inference(forward_subsumption_resolution,[],[f266,f118]) ).
tff(f268,plain,
spl17_1,
inference(avatar_contradiction_clause,[],[f267]) ).
tff(f274,plain,
( ( sF7 = inj__ty_2Erealax_2Ereal(surj__ty_2Erealax_2Ereal(sF7)) )
| ~ spl17_1 ),
inference(resolution,[],[f207,f63]) ).
tff(f376,plain,
( mem(sF13,ty_2Ebinary__ieee_2Efloat(sK2,sK3))
| ~ mem(sF6,ty_2Ebool_2Eitself(sF5)) ),
inference(superposition,[],[f195,f108]) ).
tff(f377,plain,
mem(sF13,ty_2Ebinary__ieee_2Efloat(sK2,sK3)),
inference(forward_subsumption_resolution,[],[f376,f118]) ).
tff(f386,plain,
mem(ap(sF10,sF13),ty_2Erealax_2Ereal),
inference(resolution,[],[f377,f184]) ).
tff(f387,plain,
surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Efloat__to__real(sK2,sK3),ap(c_2Ebinary__ieee_2Efloat__negate(sK2,sK3),sF13))) = surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Efloat__to__real(sK2,sK3),sF13))),
inference(resolution,[],[f377,f84]) ).
tff(f391,plain,
surj__ty_2Erealax_2Ereal(ap(sF10,ap(c_2Ebinary__ieee_2Efloat__negate(sK2,sK3),sF13))) = surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,ap(sF10,sF13))),
inference(forward_demodulation,[],[f387,f102]) ).
tff(f392,plain,
surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,ap(sF10,sF13))) = surj__ty_2Erealax_2Ereal(ap(sF10,ap(sF11,sF13))),
inference(forward_demodulation,[],[f391,f104]) ).
tff(f393,plain,
surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,ap(sF10,sF13))) = surj__ty_2Erealax_2Ereal(ap(sF10,sF14)),
inference(forward_demodulation,[],[f392,f110]) ).
tff(f394,plain,
surj__ty_2Erealax_2Ereal(sF15) = surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,ap(sF10,sF13))),
inference(forward_demodulation,[],[f393,f112]) ).
tff(f395,plain,
sF16 = surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,ap(sF10,sF13))),
inference(forward_demodulation,[],[f394,f114]) ).
tff(f397,plain,
ap(sF10,sF13) = inj__ty_2Erealax_2Ereal(surj__ty_2Erealax_2Ereal(ap(sF10,sF13))),
inference(resolution,[],[f386,f63]) ).
tff(f401,plain,
ap(sF10,sF13) = inj__ty_2Erealax_2Ereal(surj__ty_2Erealax_2Ereal(sF7)),
inference(forward_demodulation,[],[f397,f235]) ).
tff(f402,plain,
( ( sF7 = ap(sF10,sF13) )
| ~ spl17_1 ),
inference(forward_demodulation,[],[f401,f274]) ).
tff(f415,plain,
( ( sF16 = surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,sF7)) )
| ~ spl17_1 ),
inference(superposition,[],[f395,f402]) ).
tff(f416,plain,
( ( surj__ty_2Erealax_2Ereal(sF8) = sF16 )
| ~ spl17_1 ),
inference(forward_demodulation,[],[f415,f98]) ).
tff(f417,plain,
( ( sF9 = sF16 )
| ~ spl17_1 ),
inference(forward_demodulation,[],[f416,f100]) ).
tff(f418,plain,
( $false
| ~ spl17_1 ),
inference(forward_subsumption_resolution,[],[f417,f115]) ).
tff(f419,plain,
~ spl17_1,
inference(avatar_contradiction_clause,[],[f418]) ).
cnf(s2,plain,
spl17_1,
inference(sat_conversion,[],[f268]) ).
cnf(s3,plain,
~ spl17_1,
inference(sat_conversion,[],[f419]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s2,s3]) ).
tff(f420,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP018_2 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n020.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 12:05:34 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.84/0.94 % (3258640)Will run a generic schedule for satisfiability detection.
% 2.84/0.94 % (3258647)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2982302830:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.84/0.94 % (3258646)% WARNING: option uhcvi not known.
% 2.84/0.94 % (3258645)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1006255678_2999 on theBenchmark for (2999ds/0Mi)
% 2.84/0.94 % (3258646)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1148036420:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.84/0.94 % (3258648)dis+10_1_sil=32000:sp=arity:random_seed=2716807021:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.84/0.94 % (3258649)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=133060688:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.84/0.94 % (3258650)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3010952951:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.84/0.94 % (3258651)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1780081863:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.84/0.94 % TRYING [1,1,1,1]
% 2.84/0.94 % TRYING [1,1,2,1]
% 2.84/0.94 % TRYING [1,2,2,1]
% 2.84/0.94 % TRYING [2,2,2,1]
% 2.84/0.94 % TRYING [1,3,2,1]
% 2.84/0.94 % TRYING [1,2,2,2]
% 2.84/0.94 % TRYING [2,2,2,2]
% 2.84/0.94 % TRYING [1,3,2,2]
% 2.84/0.94 % TRYING [2,3,2,1]
% 2.84/0.94 % TRYING [2,3,2,2]
% 2.84/0.94 % TRYING [1,4,2,1]
% 2.84/0.94 % TRYING [1,4,2,2]
% 2.84/0.94 % TRYING [3,3,2,1]
% 2.84/0.94 % TRYING [2,4,2,1]
% 2.84/0.94 % (3258648)Instruction limit reached!
% 2.84/0.94 % (3258648)------------------------------
% 2.84/0.94 % (3258648)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.84/0.94 % (3258648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.84/0.94 % (3258648)CaDiCaL version: 2.1.3
% 2.84/0.94 % (3258648)Termination reason: Instruction limit
% 2.84/0.94 % (3258648)Termination phase: Saturation
% 2.84/0.94 % (3258648)Time elapsed: 0.060 s
% 2.84/0.94 % (3258648)Peak memory usage: 12 MB
% 2.84/0.94 % (3258648)Instructions burned: 103 (million)
% 2.84/0.94 % TRYING [3,3,2,2]
% 2.84/0.94 % TRYING [2,4,2,2]
% 2.84/0.94 % (3258649)Instruction limit reached!
% 2.84/0.94 % (3258649)------------------------------
% 2.84/0.94 % (3258649)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.84/0.94 % (3258649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.84/0.94 % (3258649)CaDiCaL version: 2.1.3
% 2.84/0.94 % (3258649)Termination reason: Instruction limit
% 2.84/0.94 % (3258649)Termination phase: Saturation
% 2.84/0.94 % (3258649)Time elapsed: 0.071 s
% 2.84/0.94 % (3258649)Peak memory usage: 13 MB
% 2.84/0.94 % (3258649)Instructions burned: 119 (million)
% 2.84/0.94 % (3258650)Instruction limit reached!
% 2.84/0.94 % (3258650)------------------------------
% 2.84/0.94 % (3258650)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.84/0.94 % (3258650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.84/0.94 % (3258650)CaDiCaL version: 2.1.3
% 2.84/0.94 % (3258650)Termination reason: Instruction limit
% 2.84/0.94 % (3258650)Termination phase: Saturation
% 2.84/0.94 % (3258650)Time elapsed: 0.079 s
% 2.84/0.94 % (3258650)Peak memory usage: 13 MB
% 2.84/0.94 % (3258650)Instructions burned: 131 (million)
% 2.84/0.94 % (3258659)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=433560897:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 2.84/0.94 % TRYING [4,3,2,1]
% 2.84/0.94 % TRYING [1]
% 2.84/0.94 % TRYING [2]
% 2.84/0.94 % (3258651)Instruction limit reached!
% 2.84/0.94 % (3258651)------------------------------
% 2.84/0.94 % (3258651)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.84/0.94 % (3258651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.84/0.94 % (3258651)CaDiCaL version: 2.1.3
% 2.84/0.94 % (3258651)Termination reason: Instruction limit
% 2.84/0.94 % (3258651)Termination phase: Saturation
% 2.84/0.94 % (3258651)Time elapsed: 0.087 s
% 2.84/0.94 % (3258651)Peak memory usage: 13 MB
% 2.84/0.94 % (3258651)Instructions burned: 160 (million)
% 2.84/0.94 % TRYING [3]
% 2.84/0.94 % (3258660)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3921331904:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 2.84/0.94 % (3258662)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1653507211:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.84/0.94 % (3258663)ott-21_1_sil=16000:fs=off:random_seed=1107927490:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.84/0.94 % TRYING [4]
% 2.84/0.94 % TRYING [3,4,2,1]
% 2.84/0.94 % TRYING [4,3,2,2]
% 2.84/0.94 % TRYING [3,4,2,2]
% 2.84/0.94 % (3258660)Instruction limit reached!
% 2.84/0.94 % (3258660)------------------------------
% 2.84/0.94 % (3258660)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.84/0.94 % (3258660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.84/0.94 % (3258660)CaDiCaL version: 2.1.3
% 2.84/0.94 % (3258660)Termination reason: Instruction limit
% 2.84/0.94 % (3258660)Termination phase: Saturation
% 2.84/0.94 % (3258660)Time elapsed: 0.085 s
% 2.84/0.94 % (3258660)Peak memory usage: 13 MB
% 2.84/0.94 % (3258660)Instructions burned: 131 (million)
% 2.84/0.94 % TRYING [1,5,2,1]
% 2.84/0.94 % TRYING [5]
% 2.84/0.94 % TRYING [1,5,2,2]
% 2.84/0.94 % (3258667)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=272342035:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 2.84/0.94 % (3258663)Instruction limit reached!
% 2.84/0.94 % (3258663)------------------------------
% 2.84/0.94 % (3258663)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.84/0.94 % (3258663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.84/0.94 % (3258663)CaDiCaL version: 2.1.3
% 2.84/0.94 % (3258663)Termination reason: Instruction limit
% 2.84/0.94 % (3258663)Termination phase: Saturation
% 2.84/0.94 % (3258663)Time elapsed: 0.092 s
% 2.84/0.94 % (3258663)Peak memory usage: 12 MB
% 2.84/0.94 % (3258663)Instructions burned: 181 (million)
% 2.84/0.94 % TRYING [5,3,2,1]
% 2.84/0.94 % (3258669)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3487442503:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 2.84/0.94 % TRYING [1,1,1,1]
% 2.84/0.94 % TRYING [1,1,2,1]
% 2.84/0.94 % TRYING [1,2,2,1]
% 2.84/0.94 % TRYING [4,4,2,1]
% 2.84/0.94 % TRYING [2,2,2,1]
% 2.84/0.94 % TRYING [1,3,2,1]
% 2.84/0.94 % TRYING [1,2,2,2]
% 2.84/0.94 % TRYING [1,3,2,2]
% 2.84/0.94 % TRYING [3,2,2,1]
% 2.84/0.94 % TRYING [2,3,2,1]
% 2.84/0.94 % TRYING [2,2,2,2]
% 2.84/0.94 % TRYING [4,4,2,2]
% 2.84/0.94 % TRYING [2,3,2,2]
% 2.84/0.94 % TRYING [1,4,2,1]
% 2.84/0.94 % TRYING [1,4,2,2]
% 2.84/0.94 % TRYING [2,5,2,1]
% 2.84/0.94 % TRYING [2,5,2,2]
% 2.84/0.94 % TRYING [3,3,2,1]
% 2.84/0.94 % TRYING [3,2,3,1]
% 2.84/0.94 % TRYING [3,2,2,2]
% 2.84/0.94 % TRYING [3,3,2,2]
% 2.84/0.94 % TRYING [3,2,4,1]
% 2.84/0.94 % TRYING [2,4,2,1]
% 2.84/0.94 % TRYING [3,5,2,1]
% 2.84/0.94 % TRYING [2,4,2,2]
% 2.84/0.94 % (3258662)Instruction limit reached!
% 2.84/0.94 % (3258662)------------------------------
% 2.84/0.94 % (3258662)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.84/0.94 % (3258662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.84/0.94 % (3258662)CaDiCaL version: 2.1.3
% 2.84/0.94 % (3258662)Termination reason: Instruction limit
% 2.84/0.94 % (3258662)Termination phase: Saturation
% 2.84/0.94 % (3258662)Time elapsed: 0.336 s
% 2.84/0.94 % (3258662)Peak memory usage: 15 MB
% 2.84/0.94 % (3258662)Instructions burned: 685 (million)
% 2.84/0.94 % TRYING [3,4,2,1]
% 2.84/0.94 % (3258671)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3181239261:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 2.84/0.94 % (3258667)Instruction limit reached!
% 2.84/0.94 % (3258667)------------------------------
% 2.84/0.94 % (3258667)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.84/0.94 % (3258667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.84/0.94 % (3258667)CaDiCaL version: 2.1.3
% 2.84/0.94 % (3258667)Termination reason: Instruction limit
% 2.84/0.94 % (3258667)Termination phase: Saturation
% 2.84/0.94 % (3258667)Time elapsed: 0.270 s
% 2.84/0.94 % (3258667)Peak memory usage: 13 MB
% 2.84/0.94 % (3258667)Instructions burned: 477 (million)
% 2.84/0.94 % (3258671) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3258640-3258671"...
% 2.84/0.94 % TRYING [3,4,2,2]
% 2.84/0.94 % TRYING [3,5,2,2]
% 2.84/0.94 % (3258671)...printing done.
% 2.84/0.94 % (3258671)Refutation found. Thanks to Tanya!
% 2.84/0.94 % SZS status Theorem for theBenchmark
% 2.84/0.94 % SZS output start Proof for theBenchmark
% See solution above
% 2.84/0.94 % (3258671)------------------------------
% 2.84/0.94 % (3258671)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.84/0.94 % (3258671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.84/0.94 % (3258671)CaDiCaL version: 2.1.3
% 2.84/0.94 % (3258671)Termination reason: Refutation
% 2.84/0.94 % (3258671)Time elapsed: 0.016 s
% 2.84/0.94 % (3258671)Peak memory usage: 12 MB
% 2.84/0.94 % (3258671)Instructions burned: 23 (million)
% 2.84/0.94 % (3258640)Success in time 0.518 s
% 2.84/0.94 % Vampire exiting
%------------------------------------------------------------------------------