%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP012_3 : 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 : n017.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 11:34:58 AM UTC 2026
% Result : Theorem 7.69s 1.77s
% Output : Refutation 7.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 31 ( 20 unt; 0 typ; 0 def)
% Number of atoms : 42 ( 29 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 22 ( 11 ~; 5 |; 3 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 31 ( 29 usr; 1 prp; 0-3 aty)
% Number of functors : 40 ( 40 usr; 13 con; 0-4 aty)
% Number of variables : 54 ( 51 !; 3 ?; 54 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
tyop_2Einteger_2Eint: $tType ).
tff(type_def_6,type,
tyop_2Emin_2Ebool: $tType ).
tff(type_def_7,type,
tyop_2Emin_2Efun: ( $tType * $tType ) > $tType ).
tff(func_def_0,type,
app_2E2:
!>[X0: $tType,X1: $tType] : ( ( tyop_2Emin_2Efun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_1,type,
combin_i_2E0:
!>[X0: $tType] : tyop_2Emin_2Efun(X0,X0) ).
tff(func_def_2,type,
combin_k_2E0:
!>[X0: $tType,X1: $tType] : tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X0)) ).
tff(func_def_3,type,
combin_s_2E0:
!>[X0: $tType,X1: $tType,X2: $tType] : tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X2)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(X0,X2))) ).
tff(func_def_4,type,
c_2Ebool_2E_21_2E0:
!>[X0: $tType] : tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool) ).
tff(func_def_5,type,
c_2Ebool_2E_21_2E1:
!>[X0: $tType] : ( tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool) > tyop_2Emin_2Ebool ) ).
tff(func_def_6,type,
c_2Ebool_2E_2F_5C_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)) ).
tff(func_def_7,type,
c_2Ebool_2E_2F_5C_2E2: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > tyop_2Emin_2Ebool ).
tff(func_def_8,type,
c_2Emin_2E_3D_2E0:
!>[X0: $tType] : tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)) ).
tff(func_def_9,type,
c_2Emin_2E_3D_2E2:
!>[X0: $tType] : ( ( X0 * X0 ) > tyop_2Emin_2Ebool ) ).
tff(func_def_10,type,
c_2Emin_2E_3D_3D_3E_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)) ).
tff(func_def_11,type,
c_2Emin_2E_3D_3D_3E_2E2: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > tyop_2Emin_2Ebool ).
tff(func_def_12,type,
c_2Ebool_2E_3F_2E0:
!>[X0: $tType] : tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool) ).
tff(func_def_13,type,
c_2Ebool_2E_3F_2E1:
!>[X0: $tType] : ( tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool) > tyop_2Emin_2Ebool ) ).
tff(func_def_14,type,
c_2Ebool_2EF_2E0: tyop_2Emin_2Ebool ).
tff(func_def_15,type,
c_2Ebool_2ET_2E0: tyop_2Emin_2Ebool ).
tff(func_def_16,type,
c_2Ebool_2E_5C_2F_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)) ).
tff(func_def_17,type,
c_2Ebool_2E_5C_2F_2E2: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > tyop_2Emin_2Ebool ).
tff(func_def_18,type,
c_2Einteger_2Eint__add_2E0: tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint)) ).
tff(func_def_19,type,
c_2Einteger_2Eint__add_2E2: ( tyop_2Einteger_2Eint * tyop_2Einteger_2Eint ) > tyop_2Einteger_2Eint ).
tff(func_def_20,type,
c_2Einteger_2Eint__divides_2E0: tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Ebool)) ).
tff(func_def_21,type,
c_2Einteger_2Eint__divides_2E2: ( tyop_2Einteger_2Eint * tyop_2Einteger_2Eint ) > tyop_2Emin_2Ebool ).
tff(func_def_22,type,
c_2Einteger_2Eint__neg_2E0: tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint) ).
tff(func_def_23,type,
c_2Einteger_2Eint__neg_2E1: tyop_2Einteger_2Eint > tyop_2Einteger_2Eint ).
tff(func_def_24,type,
c_2Einteger_2Eint__sub_2E0: tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint)) ).
tff(func_def_25,type,
c_2Einteger_2Eint__sub_2E2: ( tyop_2Einteger_2Eint * tyop_2Einteger_2Eint ) > tyop_2Einteger_2Eint ).
tff(func_def_26,type,
c_2Ebool_2E_7E_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool) ).
tff(func_def_27,type,
c_2Ebool_2E_7E_2E1: tyop_2Emin_2Ebool > tyop_2Emin_2Ebool ).
tff(func_def_28,type,
sK28:
!>[X0: $tType,X1: $tType] : ( ( tyop_2Emin_2Efun(X0,X1) * tyop_2Emin_2Efun(X0,X1) ) > X0 ) ).
tff(func_def_29,type,
sK29:
!>[X0: $tType] : ( tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool) > X0 ) ).
tff(func_def_30,type,
sK30:
!>[X0: $tType] : ( tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool) > X0 ) ).
tff(func_def_31,type,
sK31:
!>[X0: $tType] : ( tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool) > X0 ) ).
tff(func_def_32,type,
sK32:
!>[X0: $tType] : ( tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool) > X0 ) ).
tff(func_def_33,type,
sK33:
!>[X0: $tType] : ( tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool) > X0 ) ).
tff(func_def_34,type,
sK34:
!>[X0: $tType] : ( tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool) > X0 ) ).
tff(func_def_35,type,
sK35:
!>[X0: $tType] : ( ( tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool) * tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool) ) > X0 ) ).
tff(func_def_36,type,
sK36: tyop_2Einteger_2Eint ).
tff(func_def_37,type,
sK37: tyop_2Einteger_2Eint ).
tff(func_def_38,type,
sK38: tyop_2Einteger_2Eint ).
tff(pred_def_1,type,
p: tyop_2Emin_2Ebool > $o ).
tff(pred_def_2,type,
sP0: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > $o ).
tff(pred_def_3,type,
sP1: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > $o ).
tff(pred_def_4,type,
sP2: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > $o ).
tff(pred_def_5,type,
sP3: tyop_2Emin_2Ebool > $o ).
tff(pred_def_6,type,
sP4: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > $o ).
tff(pred_def_7,type,
sP5: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > $o ).
tff(pred_def_8,type,
sP6: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > $o ).
tff(pred_def_9,type,
sP7: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > $o ).
tff(pred_def_10,type,
sP8: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > $o ).
tff(pred_def_11,type,
sP9: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > $o ).
tff(pred_def_12,type,
sP10: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > $o ).
tff(pred_def_13,type,
sP11: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > $o ).
tff(pred_def_14,type,
sP12: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > $o ).
tff(pred_def_15,type,
sP13: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > $o ).
tff(pred_def_16,type,
sP14: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > $o ).
tff(pred_def_17,type,
sP15: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > $o ).
tff(pred_def_18,type,
sP16: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > $o ).
tff(pred_def_19,type,
sP17: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > $o ).
tff(pred_def_20,type,
sP18: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > $o ).
tff(pred_def_21,type,
sP19: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > $o ).
tff(pred_def_22,type,
sP20: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > $o ).
tff(pred_def_23,type,
sP21: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > $o ).
tff(pred_def_24,type,
sP22: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > $o ).
tff(pred_def_25,type,
sP23: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > $o ).
tff(pred_def_26,type,
sP24: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > $o ).
tff(pred_def_27,type,
sP25: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > $o ).
tff(pred_def_28,type,
sP26: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > $o ).
tff(pred_def_29,type,
sP27: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > $o ).
tff(f22,axiom,
! [X0: tyop_2Einteger_2Eint,X1: tyop_2Einteger_2Eint] : ( c_2Einteger_2Eint__add_2E2(X0,X1) = app_2E2(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint,app_2E2(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint),c_2Einteger_2Eint__add_2E0,X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arityeq2_2Ec_2Einteger_2Eint__add_2E2) ).
tff(f23,axiom,
! [X0: tyop_2Einteger_2Eint,X1: tyop_2Einteger_2Eint] : ( c_2Einteger_2Eint__divides_2E2(X0,X1) = app_2E2(tyop_2Einteger_2Eint,tyop_2Emin_2Ebool,app_2E2(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Ebool),c_2Einteger_2Eint__divides_2E0,X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arityeq2_2Ec_2Einteger_2Eint__divides_2E2) ).
tff(f24,axiom,
! [X0: tyop_2Einteger_2Eint] : ( c_2Einteger_2Eint__neg_2E1(X0) = app_2E2(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arityeq1_2Ec_2Einteger_2Eint__neg_2E1) ).
tff(f25,axiom,
! [X0: tyop_2Einteger_2Eint,X1: tyop_2Einteger_2Eint] : ( c_2Einteger_2Eint__sub_2E2(X0,X1) = app_2E2(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint,app_2E2(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint),c_2Einteger_2Eint__sub_2E0,X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arityeq2_2Ec_2Einteger_2Eint__sub_2E2) ).
tff(f39,axiom,
! [X0: tyop_2Einteger_2Eint,X1: tyop_2Einteger_2Eint] : ( c_2Einteger_2Eint__sub_2E2(X0,X1) = c_2Einteger_2Eint__add_2E2(X0,c_2Einteger_2Eint__neg_2E1(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Einteger_2Eint__sub) ).
tff(f40,axiom,
! [X0: tyop_2Einteger_2Eint,X1: tyop_2Einteger_2Eint,X2: tyop_2Einteger_2Eint] :
( p(c_2Einteger_2Eint__divides_2E2(X0,X1))
=> ( c_2Einteger_2Eint__divides_2E2(X0,c_2Einteger_2Eint__add_2E2(X2,X1)) = c_2Einteger_2Eint__divides_2E2(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Einteger_2EINT__DIVIDES__RADD) ).
tff(f41,axiom,
! [X0: tyop_2Einteger_2Eint,X1: tyop_2Einteger_2Eint] :
( ( c_2Einteger_2Eint__divides_2E2(X0,c_2Einteger_2Eint__neg_2E1(X1)) = c_2Einteger_2Eint__divides_2E2(X0,X1) )
& ( c_2Einteger_2Eint__divides_2E2(c_2Einteger_2Eint__neg_2E1(X0),X1) = c_2Einteger_2Eint__divides_2E2(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Einteger_2EINT__DIVIDES__NEG) ).
tff(f52,conjecture,
! [X0: tyop_2Einteger_2Eint,X1: tyop_2Einteger_2Eint,X2: tyop_2Einteger_2Eint] :
( p(c_2Einteger_2Eint__divides_2E2(X0,X1))
=> ( c_2Einteger_2Eint__divides_2E2(X0,c_2Einteger_2Eint__sub_2E2(X2,X1)) = c_2Einteger_2Eint__divides_2E2(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Einteger_2EINT__DIVIDES__RSUB) ).
tff(f53,negated_conjecture,
~ ! [X0: tyop_2Einteger_2Eint,X1: tyop_2Einteger_2Eint,X2: tyop_2Einteger_2Eint] :
( p(c_2Einteger_2Eint__divides_2E2(X0,X1))
=> ( c_2Einteger_2Eint__divides_2E2(X0,c_2Einteger_2Eint__sub_2E2(X2,X1)) = c_2Einteger_2Eint__divides_2E2(X0,X2) ) ),
inference(negated_conjecture,[status(cth)],[f52]) ).
tff(f67,plain,
! [X0: tyop_2Einteger_2Eint,X1: tyop_2Einteger_2Eint,X2: tyop_2Einteger_2Eint] :
( ( c_2Einteger_2Eint__divides_2E2(X0,c_2Einteger_2Eint__add_2E2(X2,X1)) = c_2Einteger_2Eint__divides_2E2(X0,X2) )
| ~ p(c_2Einteger_2Eint__divides_2E2(X0,X1)) ),
inference(ennf_transformation,[],[f40]) ).
tff(f77,plain,
? [X0: tyop_2Einteger_2Eint,X1: tyop_2Einteger_2Eint,X2: tyop_2Einteger_2Eint] :
( ( c_2Einteger_2Eint__divides_2E2(X0,X2) != c_2Einteger_2Eint__divides_2E2(X0,c_2Einteger_2Eint__sub_2E2(X2,X1)) )
& p(c_2Einteger_2Eint__divides_2E2(X0,X1)) ),
inference(ennf_transformation,[],[f53]) ).
tff(f233,plain,
( ( c_2Einteger_2Eint__divides_2E2(sK36,sK38) != c_2Einteger_2Eint__divides_2E2(sK36,c_2Einteger_2Eint__sub_2E2(sK38,sK37)) )
& p(c_2Einteger_2Eint__divides_2E2(sK36,sK37)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK36,sK37,sK38]),skolemize(X0,sK36),skolemize(X1,sK37),skolemize(X2,sK38)],[f77]) ).
tff(f273,plain,
! [X0: tyop_2Einteger_2Eint,X1: tyop_2Einteger_2Eint] : ( c_2Einteger_2Eint__add_2E2(X0,X1) = app_2E2(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint,app_2E2(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint),c_2Einteger_2Eint__add_2E0,X0),X1) ),
inference(cnf_transformation,[],[f22]) ).
tff(f274,plain,
! [X0: tyop_2Einteger_2Eint,X1: tyop_2Einteger_2Eint] : ( c_2Einteger_2Eint__divides_2E2(X0,X1) = app_2E2(tyop_2Einteger_2Eint,tyop_2Emin_2Ebool,app_2E2(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Ebool),c_2Einteger_2Eint__divides_2E0,X0),X1) ),
inference(cnf_transformation,[],[f23]) ).
tff(f275,plain,
! [X0: tyop_2Einteger_2Eint] : ( c_2Einteger_2Eint__neg_2E1(X0) = app_2E2(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E0,X0) ),
inference(cnf_transformation,[],[f24]) ).
tff(f276,plain,
! [X0: tyop_2Einteger_2Eint,X1: tyop_2Einteger_2Eint] : ( c_2Einteger_2Eint__sub_2E2(X0,X1) = app_2E2(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint,app_2E2(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint),c_2Einteger_2Eint__sub_2E0,X0),X1) ),
inference(cnf_transformation,[],[f25]) ).
tff(f340,plain,
! [X0: tyop_2Einteger_2Eint,X1: tyop_2Einteger_2Eint] : ( c_2Einteger_2Eint__sub_2E2(X0,X1) = c_2Einteger_2Eint__add_2E2(X0,c_2Einteger_2Eint__neg_2E1(X1)) ),
inference(cnf_transformation,[],[f39]) ).
tff(f341,plain,
! [X2: tyop_2Einteger_2Eint,X0: tyop_2Einteger_2Eint,X1: tyop_2Einteger_2Eint] :
( ( c_2Einteger_2Eint__divides_2E2(X0,c_2Einteger_2Eint__add_2E2(X2,X1)) = c_2Einteger_2Eint__divides_2E2(X0,X2) )
| ~ p(c_2Einteger_2Eint__divides_2E2(X0,X1)) ),
inference(cnf_transformation,[],[f67]) ).
tff(f343,plain,
! [X0: tyop_2Einteger_2Eint,X1: tyop_2Einteger_2Eint] : ( c_2Einteger_2Eint__divides_2E2(X0,X1) = c_2Einteger_2Eint__divides_2E2(X0,c_2Einteger_2Eint__neg_2E1(X1)) ),
inference(cnf_transformation,[],[f41]) ).
tff(f471,plain,
p(c_2Einteger_2Eint__divides_2E2(sK36,sK37)),
inference(cnf_transformation,[],[f233]) ).
tff(f472,plain,
c_2Einteger_2Eint__divides_2E2(sK36,sK38) != c_2Einteger_2Eint__divides_2E2(sK36,c_2Einteger_2Eint__sub_2E2(sK38,sK37)),
inference(cnf_transformation,[],[f233]) ).
tff(f477,plain,
! [X0: tyop_2Einteger_2Eint,X1: tyop_2Einteger_2Eint] : ( app_2E2(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint,app_2E2(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint),c_2Einteger_2Eint__sub_2E0,X0),X1) = app_2E2(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint,app_2E2(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint),c_2Einteger_2Eint__add_2E0,X0),app_2E2(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E0,X1)) ),
inference(definition_unfolding,[],[f340,f276,f273,f275]) ).
tff(f478,plain,
! [X2: tyop_2Einteger_2Eint,X0: tyop_2Einteger_2Eint,X1: tyop_2Einteger_2Eint] :
( ~ p(app_2E2(tyop_2Einteger_2Eint,tyop_2Emin_2Ebool,app_2E2(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Ebool),c_2Einteger_2Eint__divides_2E0,X0),X1))
| ( app_2E2(tyop_2Einteger_2Eint,tyop_2Emin_2Ebool,app_2E2(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Ebool),c_2Einteger_2Eint__divides_2E0,X0),app_2E2(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint,app_2E2(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint),c_2Einteger_2Eint__add_2E0,X2),X1)) = app_2E2(tyop_2Einteger_2Eint,tyop_2Emin_2Ebool,app_2E2(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Ebool),c_2Einteger_2Eint__divides_2E0,X0),X2) ) ),
inference(definition_unfolding,[],[f341,f274,f273,f274,f274]) ).
tff(f479,plain,
! [X0: tyop_2Einteger_2Eint,X1: tyop_2Einteger_2Eint] : ( app_2E2(tyop_2Einteger_2Eint,tyop_2Emin_2Ebool,app_2E2(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Ebool),c_2Einteger_2Eint__divides_2E0,X0),X1) = app_2E2(tyop_2Einteger_2Eint,tyop_2Emin_2Ebool,app_2E2(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Ebool),c_2Einteger_2Eint__divides_2E0,X0),app_2E2(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E0,X1)) ),
inference(definition_unfolding,[],[f343,f274,f274,f275]) ).
tff(f481,plain,
app_2E2(tyop_2Einteger_2Eint,tyop_2Emin_2Ebool,app_2E2(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Ebool),c_2Einteger_2Eint__divides_2E0,sK36),sK38) != app_2E2(tyop_2Einteger_2Eint,tyop_2Emin_2Ebool,app_2E2(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Ebool),c_2Einteger_2Eint__divides_2E0,sK36),app_2E2(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint,app_2E2(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint),c_2Einteger_2Eint__sub_2E0,sK38),sK37)),
inference(definition_unfolding,[],[f472,f274,f274,f276]) ).
tff(f482,plain,
p(app_2E2(tyop_2Einteger_2Eint,tyop_2Emin_2Ebool,app_2E2(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Ebool),c_2Einteger_2Eint__divides_2E0,sK36),sK37)),
inference(definition_unfolding,[],[f471,f274]) ).
tff(f1080,plain,
! [X2: tyop_2Einteger_2Eint,X0: tyop_2Einteger_2Eint,X1: tyop_2Einteger_2Eint] :
( ~ p(app_2E2(tyop_2Einteger_2Eint,tyop_2Emin_2Ebool,app_2E2(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Ebool),c_2Einteger_2Eint__divides_2E0,X0),X1))
| ( app_2E2(tyop_2Einteger_2Eint,tyop_2Emin_2Ebool,app_2E2(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Ebool),c_2Einteger_2Eint__divides_2E0,X0),X2) = app_2E2(tyop_2Einteger_2Eint,tyop_2Emin_2Ebool,app_2E2(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Ebool),c_2Einteger_2Eint__divides_2E0,X0),app_2E2(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint,app_2E2(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint),c_2Einteger_2Eint__add_2E0,X2),app_2E2(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E0,X1))) ) ),
inference(superposition,[],[f478,f479]) ).
tff(f1099,plain,
! [X2: tyop_2Einteger_2Eint,X0: tyop_2Einteger_2Eint,X1: tyop_2Einteger_2Eint] :
( ~ p(app_2E2(tyop_2Einteger_2Eint,tyop_2Emin_2Ebool,app_2E2(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Ebool),c_2Einteger_2Eint__divides_2E0,X0),X1))
| ( app_2E2(tyop_2Einteger_2Eint,tyop_2Emin_2Ebool,app_2E2(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Ebool),c_2Einteger_2Eint__divides_2E0,X0),X2) = app_2E2(tyop_2Einteger_2Eint,tyop_2Emin_2Ebool,app_2E2(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Ebool),c_2Einteger_2Eint__divides_2E0,X0),app_2E2(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint,app_2E2(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint),c_2Einteger_2Eint__sub_2E0,X2),X1)) ) ),
inference(forward_demodulation,[],[f1080,f477]) ).
tff(f1744,plain,
! [X0: tyop_2Einteger_2Eint] : ( app_2E2(tyop_2Einteger_2Eint,tyop_2Emin_2Ebool,app_2E2(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Ebool),c_2Einteger_2Eint__divides_2E0,sK36),X0) = app_2E2(tyop_2Einteger_2Eint,tyop_2Emin_2Ebool,app_2E2(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Ebool),c_2Einteger_2Eint__divides_2E0,sK36),app_2E2(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint,app_2E2(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint),c_2Einteger_2Eint__sub_2E0,X0),sK37)) ),
inference(resolution,[],[f1099,f482]) ).
tff(f2095,plain,
app_2E2(tyop_2Einteger_2Eint,tyop_2Emin_2Ebool,app_2E2(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Ebool),c_2Einteger_2Eint__divides_2E0,sK36),sK38) != app_2E2(tyop_2Einteger_2Eint,tyop_2Emin_2Ebool,app_2E2(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Ebool),c_2Einteger_2Eint__divides_2E0,sK36),sK38),
inference(superposition,[],[f481,f1744]) ).
tff(f2098,plain,
$false,
inference(trivial_inequality_removal,[],[f2095]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP012_3 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 % Computer : n017.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 11:53:50 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.43 Running first-order model finding
% 0.11/0.43 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
% 6.53/1.55 % (2418263)Will run a generic schedule for satisfiability detection.
% 6.53/1.55 % (2418271)dis+10_1_sil=32000:sp=arity:random_seed=3078346312:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 6.53/1.55 % (2418269)% WARNING: option uhcvi not known.
% 6.53/1.55 % (2418268)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1034385931_2999 on theBenchmark for (2999ds/0Mi)
% 6.53/1.55 % (2418269)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2348485597:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 6.53/1.55 % (2418270)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3309724428:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 6.53/1.55 % (2418272)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=953810193:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 6.53/1.55 % (2418273)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2196395681:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 6.53/1.55 % (2418274)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1841579549:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 6.53/1.55 % Exception at run slice level
% 6.53/1.55 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 6.53/1.55 % (2418282)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2932528842:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 6.53/1.55 % (2418271)Instruction limit reached!
% 6.53/1.55 % (2418271)------------------------------
% 6.53/1.55 % (2418271)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.53/1.55 % (2418271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.55 % (2418271)CaDiCaL version: 2.1.3
% 6.53/1.55 % (2418271)Termination reason: Instruction limit
% 6.53/1.55 % (2418271)Termination phase: Saturation
% 6.53/1.55 % (2418271)Time elapsed: 0.032 s
% 6.53/1.55 % (2418271)Peak memory usage: 12 MB
% 6.53/1.55 % (2418271)Instructions burned: 105 (million)
% 6.53/1.55 % Exception at run slice level
% 6.53/1.55 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 6.53/1.55 % (2418284)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2462507374:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 6.53/1.55 % (2418285)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=1374384912:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 6.53/1.55 % (2418272)Instruction limit reached!
% 6.53/1.55 % (2418272)------------------------------
% 6.53/1.55 % (2418272)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.53/1.55 % (2418272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.55 % (2418272)CaDiCaL version: 2.1.3
% 6.53/1.55 % (2418272)Termination reason: Instruction limit
% 6.53/1.55 % (2418272)Termination phase: Saturation
% 6.53/1.55 % (2418272)Time elapsed: 0.071 s
% 6.53/1.55 % (2418272)Peak memory usage: 13 MB
% 6.53/1.55 % (2418272)Instructions burned: 117 (million)
% 6.53/1.55 % (2418273)Instruction limit reached!
% 6.53/1.55 % (2418273)------------------------------
% 6.53/1.55 % (2418273)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.53/1.55 % (2418284)Instruction limit reached!
% 6.53/1.55 % (2418284)------------------------------
% 6.53/1.55 % (2418284)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.53/1.55 % (2418284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.55 % (2418284)CaDiCaL version: 2.1.3
% 6.53/1.55 % (2418284)Termination reason: Instruction limit
% 6.53/1.55 % (2418284)Termination phase: Saturation
% 6.53/1.55 % (2418284)Time elapsed: 0.039 s
% 6.53/1.55 % (2418284)Peak memory usage: 12 MB
% 6.53/1.55 % (2418284)Instructions burned: 133 (million)
% 6.53/1.55 % (2418273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.55 % (2418273)CaDiCaL version: 2.1.3
% 6.53/1.55 % (2418273)Termination reason: Instruction limit
% 6.53/1.55 % (2418273)Termination phase: Saturation
% 6.53/1.55 % (2418273)Time elapsed: 0.076 s
% 6.53/1.55 % (2418273)Peak memory usage: 13 MB
% 6.53/1.55 % (2418273)Instructions burned: 133 (million)
% 6.53/1.55 % (2418289)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=508414208:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 7.69/1.77 % (2418288)ott-21_1_sil=16000:fs=off:random_seed=316749964:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 7.69/1.77 % (2418274)Instruction limit reached!
% 7.69/1.77 % (2418274)------------------------------
% 7.69/1.77 % (2418274)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.69/1.77 % (2418274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.69/1.77 % (2418274)CaDiCaL version: 2.1.3
% 7.69/1.77 % (2418274)Termination reason: Instruction limit
% 7.69/1.77 % (2418274)Termination phase: Saturation
% 7.69/1.77 % (2418274)Time elapsed: 0.090 s
% 7.69/1.77 % (2418274)Peak memory usage: 13 MB
% 7.69/1.77 % (2418274)Instructions burned: 159 (million)
% 7.69/1.77 % (2418290)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2815915735:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 7.69/1.77 % Exception at run slice level
% 7.69/1.77 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.69/1.77 % (2418293)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2178467515:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 7.69/1.77 % (2418295)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3929694597:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 7.69/1.77 % Exception at run slice level
% 7.69/1.77 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.69/1.77 % (2418298)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3362014321:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2998 on theBenchmark for (2998ds/692Mi)
% 7.69/1.77 % (2418288)Instruction limit reached!
% 7.69/1.77 % (2418288)------------------------------
% 7.69/1.77 % (2418288)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.69/1.77 % (2418288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.69/1.77 % (2418288)CaDiCaL version: 2.1.3
% 7.69/1.77 % (2418288)Termination reason: Instruction limit
% 7.69/1.77 % (2418288)Termination phase: Saturation
% 7.69/1.77 % (2418288)Time elapsed: 0.087 s
% 7.69/1.77 % (2418288)Peak memory usage: 14 MB
% 7.69/1.77 % (2418288)Instructions burned: 180 (million)
% 7.69/1.77 % (2418300)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=131608198:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 7.69/1.77 % (2418289)Instruction limit reached!
% 7.69/1.77 % (2418289)------------------------------
% 7.69/1.77 % (2418289)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.69/1.77 % (2418289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.69/1.77 % (2418289)CaDiCaL version: 2.1.3
% 7.69/1.77 % (2418289)Termination reason: Instruction limit
% 7.69/1.77 % (2418289)Termination phase: Saturation
% 7.69/1.77 % (2418289)Time elapsed: 0.156 s
% 7.69/1.77 % (2418289)Peak memory usage: 13 MB
% 7.69/1.77 % (2418289)Instructions burned: 481 (million)
% 7.69/1.77 % (2418302)fmb+10_1_sil=64000:random_seed=2589274856:i=22061:nm=2:gsp=on_2997 on theBenchmark for (2997ds/22061Mi)
% 7.69/1.77 % (2418302)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 7.69/1.77 % Exception at run slice level
% 7.69/1.77 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.69/1.77 % (2418304)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2395220079:i=9515:nm=5_2997 on theBenchmark for (2997ds/9515Mi)
% 7.69/1.77 % Exception at run slice level
% 7.69/1.77 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.69/1.77 % (2418306)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2170459994:fmbsr=1.7:i=920_2996 on theBenchmark for (2996ds/920Mi)
% 7.69/1.77 % Exception at run slice level
% 7.69/1.77 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.69/1.77 % (2418308)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=278689066:i=5131_2996 on theBenchmark for (2996ds/5131Mi)
% 7.69/1.77 % (2418285)Instruction limit reached!
% 7.69/1.77 % (2418285)------------------------------
% 7.69/1.77 % (2418285)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.69/1.77 % (2418285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.69/1.77 % (2418285)CaDiCaL version: 2.1.3
% 7.69/1.77 % (2418285)Termination reason: Instruction limit
% 7.69/1.77 % (2418285)Termination phase: Saturation
% 7.69/1.77 % (2418285)Time elapsed: 0.326 s
% 7.69/1.77 % (2418285)Peak memory usage: 15 MB
% 7.69/1.77 % (2418285)Instructions burned: 684 (million)
% 7.69/1.77 % (2418310)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3503033169:i=1472:ins=7:fdi=8:gsp=on_2995 on theBenchmark for (2995ds/1472Mi)
% 7.69/1.77 % (2418310)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 7.69/1.77 % (2418298)Instruction limit reached!
% 7.69/1.77 % (2418298)------------------------------
% 7.69/1.77 % (2418298)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.69/1.77 % (2418298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.69/1.77 % (2418298)CaDiCaL version: 2.1.3
% 7.69/1.77 % (2418298)Termination reason: Instruction limit
% 7.69/1.77 % (2418298)Termination phase: Saturation
% 7.69/1.77 % (2418298)Time elapsed: 0.390 s
% 7.69/1.77 % (2418298)Peak memory usage: 16 MB
% 7.69/1.77 % (2418298)Instructions burned: 692 (million)
% 7.69/1.77 % (2418312)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1441455433:i=6324_2994 on theBenchmark for (2994ds/6324Mi)
% 7.69/1.77 % Exception at run slice level
% 7.69/1.77 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.69/1.77 % (2418314)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=576797526:fmbsr=2.30978:i=2174_2994 on theBenchmark for (2994ds/2174Mi)
% 7.69/1.77 % Exception at run slice level
% 7.69/1.77 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.69/1.77 % (2418316)ott-2_1_sil=16000:newcnf=on:random_seed=3940725661:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2993 on theBenchmark for (2993ds/869Mi)
% 7.69/1.77 % (2418300)Instruction limit reached!
% 7.69/1.77 % (2418300)------------------------------
% 7.69/1.77 % (2418300)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.69/1.77 % (2418300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.69/1.77 % (2418300)CaDiCaL version: 2.1.3
% 7.69/1.77 % (2418300)Termination reason: Instruction limit
% 7.69/1.77 % (2418300)Termination phase: Saturation
% 7.69/1.77 % (2418300)Time elapsed: 0.498 s
% 7.69/1.77 % (2418300)Peak memory usage: 20 MB
% 7.69/1.77 % (2418300)Instructions burned: 880 (million)
% 7.69/1.77 % (2418318)ott+10_1_sil=32000:tgt=ground:random_seed=2182337182:i=5114:av=off_2992 on theBenchmark for (2992ds/5114Mi)
% 7.69/1.77 % (2418293)Instruction limit reached!
% 7.69/1.77 % (2418293)------------------------------
% 7.69/1.77 % (2418293)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.69/1.77 % (2418293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.69/1.77 % (2418293)CaDiCaL version: 2.1.3
% 7.69/1.77 % (2418293)Termination reason: Instruction limit
% 7.69/1.77 % (2418293)Termination phase: Saturation
% 7.69/1.77 % (2418293)Time elapsed: 0.670 s
% 7.69/1.77 % (2418293)Peak memory usage: 23 MB
% 7.69/1.77 % (2418293)Instructions burned: 1179 (million)
% 7.69/1.77 % (2418320)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=20442087:i=54282_2991 on theBenchmark for (2991ds/54282Mi)
% 7.69/1.77 % Exception at run slice level
% 7.69/1.77 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.69/1.77 % (2418322)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2919715247:i=3512:aac=none_2991 on theBenchmark for (2991ds/3512Mi)
% 7.69/1.77 % (2418316)Instruction limit reached!
% 7.69/1.77 % (2418316)------------------------------
% 7.69/1.77 % (2418316)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.69/1.77 % (2418316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.69/1.77 % (2418316)CaDiCaL version: 2.1.3
% 7.69/1.77 % (2418316)Termination reason: Instruction limit
% 7.69/1.77 % (2418316)Termination phase: Saturation
% 7.69/1.77 % (2418316)Time elapsed: 0.453 s
% 7.69/1.77 % (2418316)Peak memory usage: 17 MB
% 7.69/1.77 % (2418316)Instructions burned: 869 (million)
% 7.69/1.77 % (2418324)dis+21_1_sil=32000:sas=cadical:random_seed=1285477777:i=3773:amm=off_2989 on theBenchmark for (2989ds/3773Mi)
% 7.69/1.77 % (2418310)Instruction limit reached!
% 7.69/1.77 % (2418310)------------------------------
% 7.69/1.77 % (2418310)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.69/1.77 % (2418310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.69/1.77 % (2418310)CaDiCaL version: 2.1.3
% 7.69/1.77 % (2418310)Termination reason: Instruction limit
% 7.69/1.77 % (2418310)Termination phase: Saturation
% 7.69/1.77 % (2418310)Time elapsed: 0.690 s
% 7.69/1.77 % (2418310)Peak memory usage: 17 MB
% 7.69/1.77 % (2418310)Instructions burned: 1473 (million)
% 7.69/1.77 % (2418326)ott+11_1_sil=16000:gs=on:random_seed=3375923436:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2988 on theBenchmark for (2988ds/2251Mi)
% 7.69/1.77 % (2418326) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2418263-2418326"...
% 7.69/1.77 % (2418326)...printing done.
% 7.69/1.77 % (2418326)Refutation found. Thanks to Tanya!
% 7.69/1.77 % SZS status Theorem for theBenchmark
% 7.69/1.77 % SZS output start Proof for theBenchmark
% See solution above
% 7.69/1.77 % (2418326)------------------------------
% 7.69/1.77 % (2418326)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.69/1.77 % (2418326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.69/1.77 % (2418326)CaDiCaL version: 2.1.3
% 7.69/1.77 % (2418326)Termination reason: Refutation
% 7.69/1.77 % (2418326)Time elapsed: 0.190 s
% 7.69/1.77 % (2418326)Peak memory usage: 13 MB
% 7.69/1.77 % (2418326)Instructions burned: 375 (million)
% 7.69/1.77 % (2418263)Success in time 1.333 s
% 7.69/1.77 % Vampire exiting
%------------------------------------------------------------------------------