%------------------------------------------------------------------------------
% File : Vampire---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 THM
% Computer : n007.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 11:28:23 AM UTC 2026
% Result : Theorem 1.99s 1.79s
% Output : Refutation 5.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 39 ( 23 unt; 0 typ; 0 def)
% Number of atoms : 162 ( 24 equ)
% Maximal formula atoms : 3 ( 4 avg)
% Number of connectives : 40 ( 21 ~; 15 |; 0 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of FOOLs : 104 ( 104 fml; 0 var)
% Number of types : 5 ( 3 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 25 ( 25 usr; 6 con; 0-3 aty)
% Number of variables : 79 ( 77 !; 2 ?; 79 :)
% 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 ).
tff(func_def_26,type,
sK1: del ).
tff(func_def_27,type,
sK2: ( del * $i * $i ) > $i ).
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/theBenchmark.p',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] : ( 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(f37,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(f38,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(f39,plain,
! [X0: $i] :
( ( X0 = inj__ty_2Erealax_2Ereal(surj__ty_2Erealax_2Ereal(X0)) )
| ~ mem(X0,ty_2Erealax_2Ereal) ),
inference(ennf_transformation,[],[f8]) ).
tff(f40,plain,
surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(sK0,sK1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK0,sK1))))) != surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Efloat__to__real(sK0,sK1),ap(c_2Ebinary__ieee_2Efloat__negate(sK0,sK1),ap(c_2Ebinary__ieee_2Efloat__plus__min(sK0,sK1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK0,sK1)))))),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f33]) ).
tff(f42,plain,
surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(sK0,sK1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK0,sK1))))) != surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Efloat__to__real(sK0,sK1),ap(c_2Ebinary__ieee_2Efloat__negate(sK0,sK1),ap(c_2Ebinary__ieee_2Efloat__plus__min(sK0,sK1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK0,sK1)))))),
inference(cnf_transformation,[],[f40]) ).
tff(f46,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,[],[f37]) ).
tff(f47,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(f48,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,[],[f38]) ).
tff(f49,plain,
! [X0: $i] :
( ~ mem(X0,ty_2Erealax_2Ereal)
| ( inj__ty_2Erealax_2Ereal(surj__ty_2Erealax_2Ereal(X0)) = X0 ) ),
inference(cnf_transformation,[],[f39]) ).
tff(f54,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(f55,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(f56,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(f57,plain,
! [X0: del] : mem(c_2Ebool_2Ethe__value(X0),ty_2Ebool_2Eitself(X0)),
inference(cnf_transformation,[],[f14]) ).
tff(f62,plain,
! [X2: del,X0: $i,X1: del] :
( mem(ap(c_2Ebinary__ieee_2Efloat__plus__min(X1,X2),X0),ty_2Ebinary__ieee_2Efloat(X1,X2))
| ~ mem(X0,ty_2Ebool_2Eitself(ty_2Epair_2Eprod(X1,X2))) ),
inference(resolution,[],[f46,f55]) ).
tff(f63,plain,
! [X2: del,X0: $i,X1: del] :
( mem(ap(c_2Ebinary__ieee_2Efloat__to__real(X1,X2),X0),ty_2Erealax_2Ereal)
| ~ mem(X0,ty_2Ebinary__ieee_2Efloat(X1,X2)) ),
inference(resolution,[],[f46,f56]) ).
tff(f64,plain,
! [X2: del,X0: $i,X1: del] :
( mem(ap(c_2Ebinary__ieee_2Eulp(X1,X2),X0),ty_2Erealax_2Ereal)
| ~ mem(X0,ty_2Ebool_2Eitself(ty_2Epair_2Eprod(X1,X2))) ),
inference(resolution,[],[f46,f54]) ).
tff(f72,plain,
! [X2: del,X0: $i,X1: del] :
( ~ mem(X0,ty_2Ebinary__ieee_2Efloat(X1,X2))
| ( ap(c_2Ebinary__ieee_2Efloat__to__real(X1,X2),X0) = inj__ty_2Erealax_2Ereal(surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Efloat__to__real(X1,X2),X0))) ) ),
inference(resolution,[],[f63,f49]) ).
tff(f78,plain,
! [X2: del,X0: $i,X1: del] :
( ~ mem(X0,ty_2Ebool_2Eitself(ty_2Epair_2Eprod(X1,X2)))
| ( ap(c_2Ebinary__ieee_2Eulp(X1,X2),X0) = inj__ty_2Erealax_2Ereal(surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Eulp(X1,X2),X0))) ) ),
inference(resolution,[],[f64,f49]) ).
tff(f84,plain,
! [X2: del,X0: $i,X1: del] :
( ~ mem(X0,ty_2Ebool_2Eitself(ty_2Epair_2Eprod(X1,X2)))
| ( surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Efloat__to__real(X1,X2),ap(c_2Ebinary__ieee_2Efloat__negate(X1,X2),ap(c_2Ebinary__ieee_2Efloat__plus__min(X1,X2),X0)))) = surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Efloat__to__real(X1,X2),ap(c_2Ebinary__ieee_2Efloat__plus__min(X1,X2),X0)))) ) ),
inference(resolution,[],[f62,f48]) ).
tff(f95,plain,
! [X2: $i,X0: del,X1: del] :
( ~ mem(X2,ty_2Ebool_2Eitself(ty_2Epair_2Eprod(X0,X1)))
| ( ap(c_2Ebinary__ieee_2Efloat__to__real(X0,X1),ap(c_2Ebinary__ieee_2Efloat__plus__min(X0,X1),X2)) = inj__ty_2Erealax_2Ereal(surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Efloat__to__real(X0,X1),ap(c_2Ebinary__ieee_2Efloat__plus__min(X0,X1),X2)))) ) ),
inference(resolution,[],[f72,f62]) ).
tff(f98,plain,
! [X0: del,X1: del] : ( ap(c_2Ebinary__ieee_2Eulp(X0,X1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X0,X1))) = inj__ty_2Erealax_2Ereal(surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Eulp(X0,X1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X0,X1))))) ),
inference(resolution,[],[f78,f57]) ).
tff(f108,plain,
! [X0: del,X1: del] : ( 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)))))) = surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,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(resolution,[],[f84,f57]) ).
tff(f144,plain,
! [X0: del,X1: del] : ( 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)))) = inj__ty_2Erealax_2Ereal(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(resolution,[],[f95,f57]) ).
tff(f147,plain,
! [X0: del,X1: del] : ( 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)))) = inj__ty_2Erealax_2Ereal(surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Eulp(X0,X1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X0,X1))))) ),
inference(forward_demodulation,[],[f144,f47]) ).
tff(f148,plain,
! [X0: del,X1: del] : ( ap(c_2Ebinary__ieee_2Eulp(X0,X1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X0,X1))) = 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(forward_demodulation,[],[f147,f98]) ).
tff(f150,plain,
surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(sK0,sK1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK0,sK1))))) != surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Efloat__to__real(sK0,sK1),ap(c_2Ebinary__ieee_2Efloat__plus__min(sK0,sK1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK0,sK1)))))),
inference(superposition,[],[f42,f108]) ).
tff(f151,plain,
surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(sK0,sK1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK0,sK1))))) != surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(sK0,sK1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK0,sK1))))),
inference(forward_demodulation,[],[f150,f148]) ).
tff(f152,plain,
$false,
inference(trivial_inequality_removal,[],[f151]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP018_2 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.62 % Computer : n007.cluster.edu
% 0.13/0.62 % Model : x86_64 x86_64
% 0.13/0.62 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.62 % Memory : 8046.5625MB
% 0.13/0.62 % OS : Linux 6.8.0-71-generic
% 0.13/0.63 % CPULimit : 300
% 0.13/0.63 % WCLimit : 300
% 0.13/0.63 % DateTime : Sun Sep 27 12:02:40 UTC 2026
% 0.16/0.63 % CPUTime :
% 0.16/0.63 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.66 Running first-order theorem proving
% 0.16/0.66 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
% 1.99/1.78 % (1287321)Detected formulas, will run a generic FOF schedule.
% 1.99/1.78 % (1287377)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=622778497:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.99/1.78 % (1287385)dis-21_1_sil=8000:lcm=predicate:random_seed=4083423458:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 1.99/1.78 % (1287384)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=936063595:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.99/1.78 % (1287379)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=304297374:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.99/1.78 % (1287380)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1377718671:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.99/1.78 % (1287382)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1977918498:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.99/1.78 % (1287378)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=4106072455:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.99/1.78 % (1287382)Refutation not found, incomplete strategy
% 1.99/1.78 % (1287382)------------------------------
% 1.99/1.78 % (1287382)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.99/1.78 % (1287380)Refutation not found, incomplete strategy
% 1.99/1.78 % (1287380)------------------------------
% 1.99/1.78 % (1287380)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.99/1.78 % (1287382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/1.78 % (1287380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/1.78 % (1287382)CaDiCaL version: 2.1.3
% 1.99/1.78 % (1287382)Termination reason: Refutation not found, incomplete strategy
% 1.99/1.78 % (1287382)Time elapsed: 0.002 s
% 1.99/1.78 % (1287380)CaDiCaL version: 2.1.3
% 1.99/1.78 % (1287382)Peak memory usage: 88 MB
% 1.99/1.78 % (1287380)Termination reason: Refutation not found, incomplete strategy
% 1.99/1.78 % (1287380)Time elapsed: 0.002 s
% 1.99/1.78 % (1287382)Instructions burned: 1 (million)
% 1.99/1.78 % (1287380)Peak memory usage: 88 MB
% 1.99/1.78 % (1287380)Instructions burned: 1 (million)
% 1.99/1.78 % (1287385)Instruction limit reached!
% 1.99/1.78 % (1287385)------------------------------
% 1.99/1.78 % (1287385)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.99/1.78 % (1287385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/1.78 % (1287385)CaDiCaL version: 2.1.3
% 1.99/1.78 % (1287385)Termination reason: Instruction limit
% 1.99/1.78 % (1287385)Termination phase: Saturation
% 1.99/1.78 % (1287385)Time elapsed: 0.055 s
% 1.99/1.78 % (1287385)Peak memory usage: 88 MB
% 1.99/1.78 % (1287385)Instructions burned: 130 (million)
% 1.99/1.78 % (1287384)Instruction limit reached!
% 1.99/1.78 % (1287384)------------------------------
% 1.99/1.78 % (1287384)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.99/1.78 % (1287384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/1.78 % (1287384)CaDiCaL version: 2.1.3
% 1.99/1.78 % (1287384)Termination reason: Instruction limit
% 1.99/1.78 % (1287384)Termination phase: Saturation
% 1.99/1.78 % (1287384)Time elapsed: 0.095 s
% 1.99/1.78 % (1287384)Peak memory usage: 89 MB
% 1.99/1.78 % (1287384)Instructions burned: 140 (million)
% 1.99/1.78 % (1287422)lrs+10_1_sil=8000:sp=occurrence:random_seed=3371968446:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 1.99/1.78 % (1287422)First to succeed.
% 1.99/1.78 % (1287422)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1287321"
% 1.99/1.78 % (1287380)------------------------------
% 1.99/1.78 % (1287380)------------------------------
% 1.99/1.78 % (1287382)------------------------------
% 1.99/1.78 % (1287382)------------------------------
% 1.99/1.78 % (1287438)lrs+10_1_sil=32000:urr=on:br=off:random_seed=939165672:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 1.99/1.78 % (1287438)Also succeeded, but the first one will report.
% 1.99/1.78 % (1287377)Also succeeded, but the first one will report.
% 1.99/1.79 % (1287444)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3961359961:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 1.99/1.79 % (1287444)Also succeeded, but the first one will report.
% 1.99/1.79 % (1287445)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3033573007:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 1.99/1.79 % (1287445)Also succeeded, but the first one will report.
% 1.99/1.79 % (1287422)Refutation found. Thanks to Tanya!
% 1.99/1.79 % SZS status Theorem for theBenchmark
% 1.99/1.79 % SZS output start Proof for theBenchmark
% See solution above
% 5.36/1.98 % (1287422)------------------------------
% 5.36/1.98 % (1287422)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.36/1.98 % (1287422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.98 % (1287422)CaDiCaL version: 2.1.3
% 5.36/1.98 % (1287422)Termination reason: Refutation
% 5.36/1.98 % (1287422)Time elapsed: 0.009 s
% 5.36/1.98 % (1287422)Peak memory usage: 88 MB
% 5.36/1.98 % (1287422)Instructions burned: 11 (million)
% 5.36/1.98 % (1287422)------------------------------
% 5.36/1.98 % (1287422)------------------------------
% 5.36/1.98 % (1287321)Success in time 0.672 s
% 5.36/1.98 % Vampire exiting
%------------------------------------------------------------------------------