%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM660+4 : TPTP v9.3.1. Released v7.3.0.
% 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 12:16:17 PM UTC 2026
% Result : Theorem 10.25s 2.39s
% Output : Refutation 11.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 32
% Syntax : Number of formulae : 173 ( 45 unt; 9 def)
% Number of atoms : 385 ( 56 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 354 ( 142 ~; 169 |; 20 &)
% ( 18 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 13 ( 11 usr; 8 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 17 con; 0-2 aty)
% Number of variables : 162 ( 0 sgn 160 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f17,axiom,
! [X0,X1] : gg_bool(aa_TPTP_ind_bool(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_aa_001t__TPTP____Interpret__Oind_001t__HOL__Obool) ).
fof(f19,axiom,
! [X0,X1] : gg_bool(aa_fun171081125l_bool(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_aa_001t__fun_It__TPTP____Interpret__Oind_Mt__HOL__Obool_J_001t__HOL__Obool) ).
fof(f25,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1205650934lessis,X0),X1))
<=> pp(aa_bool_bool(scratc1669631548d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1356280566nd_iii,X0),X1)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1800882885d_n_is,X0),X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__lessis) ).
fof(f26,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1339634546moreis,X0),X1))
<=> pp(aa_bool_bool(scratc1669631548d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1506992376_29_ii,X0),X1)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1800882885d_n_is,X0),X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__moreis) ).
fof(f28,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1356280566nd_iii,X0),X1))
<=> pp(aa_fun171081125l_bool(scratc1359822063n_some,aa_TPT43085870d_bool(scratc124409147ffprop(X1),X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__iii) ).
fof(f29,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1506992376_29_ii,X0),X1))
<=> pp(aa_fun171081125l_bool(scratc1359822063n_some,aa_TPT43085870d_bool(scratc124409147ffprop(X0),X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__d__29__ii) ).
fof(f53,axiom,
scratc1800882885d_n_is = scratc134738876d_e_is(scratc1397063310nd_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__n__is) ).
fof(f100,axiom,
! [X0] : scratc134738876d_e_is(X0) = fequal_TPTP_ind,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__e__is) ).
fof(f110,axiom,
! [X0] : scratc1669631548d_l_or(X0) = aa_boo1142376798l_bool(scratc1356542969nd_imp,scratc1509353218_d_not(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__l__or) ).
fof(f115,axiom,
! [X0] :
( pp(scratc1509353218_d_not(X0))
<=> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1356542969nd_imp,X0),fFalse)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__d__not) ).
fof(f116,axiom,
scratc1356542969nd_imp = fimplies,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__imp) ).
fof(f147,axiom,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1505336613all_of(X0),X1))
<=> ! [X2] :
( gg_TPTP_ind(X2)
=> ( scratc266948788_is_of(X2,X0)
=> pp(aa_TPTP_ind_bool(X1,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__all__of) ).
fof(f275,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0))
<=> pp(aa_fun171081125l_bool(scratc1505336613all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__34) ).
fof(f296,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1339634546moreis,X0),X1))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1205650934lessis,X1),X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__55) ).
fof(f370,axiom,
pp(fTrue),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_pp_2_1_U) ).
fof(f374,axiom,
! [X0] :
( gg_bool(X0)
=> ( X0 = fTrue
| X0 = fFalse ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fFalse_1_1_T) ).
fof(f375,axiom,
~ pp(fFalse),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fFalse_1_1_U) ).
fof(f376,axiom,
! [X0,X1] :
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1))
| ~ pp(X0)
| pp(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fimplies_3_1_U) ).
fof(f377,axiom,
! [X0,X1] :
( ~ pp(X0)
| pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X1),X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fimplies_2_1_U) ).
fof(f378,axiom,
! [X0,X1] :
( pp(X0)
| pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fimplies_1_1_U) ).
fof(f380,axiom,
! [X0,X1] :
( X0 != X1
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X0),X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fequal_2_1_fequal_001t__TPTP____Interpret__Oind_T) ).
fof(f381,axiom,
! [X0,X1] :
( ( gg_TPTP_ind(X0)
& gg_TPTP_ind(X1) )
=> ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X0),X1))
| X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fequal_1_1_fequal_001t__TPTP____Interpret__Oind_T) ).
fof(f385,conjecture,
pp(aa_fun171081125l_bool(scratc1505336613all_of(aTP_Lamm_a),aTP_Lamm_ab)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f386,negated_conjecture,
~ pp(aa_fun171081125l_bool(scratc1505336613all_of(aTP_Lamm_a),aTP_Lamm_ab)),
inference(negated_conjecture,[status(cth)],[f385]) ).
fof(f387,plain,
~ pp(aa_fun171081125l_bool(scratc1505336613all_of(aTP_Lamm_a),aTP_Lamm_ab)),
inference(flattening,[],[f386]) ).
fof(f404,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1505336613all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc266948788_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(ennf_transformation,[],[f147]) ).
fof(f405,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1505336613all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc266948788_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(flattening,[],[f404]) ).
fof(f469,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1205650934lessis,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1339634546moreis,X0),X1)) ) ),
inference(ennf_transformation,[],[f296]) ).
fof(f492,plain,
! [X0] :
( X0 = fTrue
| X0 = fFalse
| ~ gg_bool(X0) ),
inference(ennf_transformation,[],[f374]) ).
fof(f493,plain,
! [X0] :
( X0 = fTrue
| X0 = fFalse
| ~ gg_bool(X0) ),
inference(flattening,[],[f492]) ).
fof(f494,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X0),X1))
| X0 = X1
| ~ gg_TPTP_ind(X0)
| ~ gg_TPTP_ind(X1) ),
inference(ennf_transformation,[],[f381]) ).
fof(f495,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X0),X1))
| X0 = X1
| ~ gg_TPTP_ind(X0)
| ~ gg_TPTP_ind(X1) ),
inference(flattening,[],[f494]) ).
fof(f496,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1205650934lessis,X0),X1))
| ~ pp(aa_bool_bool(scratc1669631548d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1356280566nd_iii,X0),X1)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1800882885d_n_is,X0),X1))) )
& ( pp(aa_bool_bool(scratc1669631548d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1356280566nd_iii,X0),X1)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1800882885d_n_is,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1205650934lessis,X0),X1)) ) ),
inference(nnf_transformation,[],[f25]) ).
fof(f497,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1339634546moreis,X0),X1))
| ~ pp(aa_bool_bool(scratc1669631548d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1506992376_29_ii,X0),X1)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1800882885d_n_is,X0),X1))) )
& ( pp(aa_bool_bool(scratc1669631548d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1506992376_29_ii,X0),X1)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1800882885d_n_is,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1339634546moreis,X0),X1)) ) ),
inference(nnf_transformation,[],[f26]) ).
fof(f499,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1356280566nd_iii,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc1359822063n_some,aa_TPT43085870d_bool(scratc124409147ffprop(X1),X0))) )
& ( pp(aa_fun171081125l_bool(scratc1359822063n_some,aa_TPT43085870d_bool(scratc124409147ffprop(X1),X0)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1356280566nd_iii,X0),X1)) ) ),
inference(nnf_transformation,[],[f28]) ).
fof(f500,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1506992376_29_ii,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc1359822063n_some,aa_TPT43085870d_bool(scratc124409147ffprop(X0),X1))) )
& ( pp(aa_fun171081125l_bool(scratc1359822063n_some,aa_TPT43085870d_bool(scratc124409147ffprop(X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1506992376_29_ii,X0),X1)) ) ),
inference(nnf_transformation,[],[f29]) ).
fof(f540,plain,
! [X0] :
( ( pp(scratc1509353218_d_not(X0))
| ~ pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1356542969nd_imp,X0),fFalse)) )
& ( pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1356542969nd_imp,X0),fFalse))
| ~ pp(scratc1509353218_d_not(X0)) ) ),
inference(nnf_transformation,[],[f115]) ).
fof(f563,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc1505336613all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc266948788_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc266948788_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) )
| ~ pp(aa_fun171081125l_bool(scratc1505336613all_of(X0),X1)) ) ),
inference(nnf_transformation,[],[f405]) ).
fof(f564,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc1505336613all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc266948788_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc266948788_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc1505336613all_of(X0),X1)) ) ),
inference(rectify,[],[f563]) ).
fof(f565,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc1505336613all_of(X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1)))
& scratc266948788_is_of(sK12(X0,X1),X0)
& gg_TPTP_ind(sK12(X0,X1)) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc266948788_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc1505336613all_of(X0),X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X2,sK12(X0,X1))],[f564]) ).
fof(f618,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0))
| ~ pp(aa_fun171081125l_bool(scratc1505336613all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) )
& ( pp(aa_fun171081125l_bool(scratc1505336613all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0)) ) ),
inference(nnf_transformation,[],[f275]) ).
fof(f645,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1205650934lessis,X1),X0))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1339634546moreis,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1205650934lessis,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1339634546moreis,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ) ),
inference(nnf_transformation,[],[f469]) ).
fof(f646,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1205650934lessis,X1),X0))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1339634546moreis,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1205650934lessis,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1339634546moreis,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ) ),
inference(flattening,[],[f645]) ).
fof(f743,plain,
! [X0,X1] : gg_bool(aa_TPTP_ind_bool(X0,X1)),
inference(cnf_transformation,[],[f17]) ).
fof(f745,plain,
! [X0,X1] : gg_bool(aa_fun171081125l_bool(X0,X1)),
inference(cnf_transformation,[],[f19]) ).
fof(f752,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1205650934lessis,X0),X1))
| ~ pp(aa_bool_bool(scratc1669631548d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1356280566nd_iii,X0),X1)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1800882885d_n_is,X0),X1))) ),
inference(cnf_transformation,[],[f496]) ).
fof(f753,plain,
! [X0,X1] :
( pp(aa_bool_bool(scratc1669631548d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1506992376_29_ii,X0),X1)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1800882885d_n_is,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1339634546moreis,X0),X1)) ),
inference(cnf_transformation,[],[f497]) ).
fof(f758,plain,
! [X0,X1] :
( ~ pp(aa_fun171081125l_bool(scratc1359822063n_some,aa_TPT43085870d_bool(scratc124409147ffprop(X1),X0)))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1356280566nd_iii,X0),X1)) ),
inference(cnf_transformation,[],[f499]) ).
fof(f759,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1359822063n_some,aa_TPT43085870d_bool(scratc124409147ffprop(X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1506992376_29_ii,X0),X1)) ),
inference(cnf_transformation,[],[f500]) ).
fof(f797,plain,
scratc1800882885d_n_is = scratc134738876d_e_is(scratc1397063310nd_nat),
inference(cnf_transformation,[],[f53]) ).
fof(f861,plain,
! [X0] : scratc134738876d_e_is(X0) = fequal_TPTP_ind,
inference(cnf_transformation,[],[f100]) ).
fof(f875,plain,
! [X0] : aa_boo1142376798l_bool(scratc1356542969nd_imp,scratc1509353218_d_not(X0)) = scratc1669631548d_l_or(X0),
inference(cnf_transformation,[],[f110]) ).
fof(f881,plain,
! [X0] :
( pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1356542969nd_imp,X0),fFalse))
| ~ pp(scratc1509353218_d_not(X0)) ),
inference(cnf_transformation,[],[f540]) ).
fof(f882,plain,
! [X0] :
( pp(scratc1509353218_d_not(X0))
| ~ pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1356542969nd_imp,X0),fFalse)) ),
inference(cnf_transformation,[],[f540]) ).
fof(f883,plain,
scratc1356542969nd_imp = fimplies,
inference(cnf_transformation,[],[f116]) ).
fof(f946,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1505336613all_of(X0),X1))
| gg_TPTP_ind(sK12(X0,X1)) ),
inference(cnf_transformation,[],[f565]) ).
fof(f948,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1)))
| pp(aa_fun171081125l_bool(scratc1505336613all_of(X0),X1)) ),
inference(cnf_transformation,[],[f565]) ).
fof(f1141,plain,
! [X0] :
( ~ pp(aa_fun171081125l_bool(scratc1505336613all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0)))
| pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0)) ),
inference(cnf_transformation,[],[f618]) ).
fof(f1187,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1339634546moreis,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ),
inference(cnf_transformation,[],[f646]) ).
fof(f1188,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1205650934lessis,X1),X0))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ),
inference(cnf_transformation,[],[f646]) ).
fof(f1348,plain,
pp(fTrue),
inference(cnf_transformation,[],[f370]) ).
fof(f1352,plain,
! [X0] :
( ~ gg_bool(X0)
| fFalse = X0
| fTrue = X0 ),
inference(cnf_transformation,[],[f493]) ).
fof(f1353,plain,
~ pp(fFalse),
inference(cnf_transformation,[],[f375]) ).
fof(f1354,plain,
! [X0,X1] :
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1))
| ~ pp(X0)
| pp(X1) ),
inference(cnf_transformation,[],[f376]) ).
fof(f1355,plain,
! [X0,X1] :
( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X1),X0))
| ~ pp(X0) ),
inference(cnf_transformation,[],[f377]) ).
fof(f1356,plain,
! [X0,X1] :
( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1))
| pp(X0) ),
inference(cnf_transformation,[],[f378]) ).
fof(f1358,plain,
! [X0,X1] :
( X0 != X1
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X0),X1)) ),
inference(cnf_transformation,[],[f380]) ).
fof(f1359,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X0),X1))
| X0 = X1
| ~ gg_TPTP_ind(X0)
| ~ gg_TPTP_ind(X1) ),
inference(cnf_transformation,[],[f495]) ).
fof(f1363,plain,
~ pp(aa_fun171081125l_bool(scratc1505336613all_of(aTP_Lamm_a),aTP_Lamm_ab)),
inference(cnf_transformation,[],[f387]) ).
fof(f1366,plain,
! [X0] : scratc1669631548d_l_or(X0) = aa_boo1142376798l_bool(fimplies,scratc1509353218_d_not(X0)),
inference(definition_unfolding,[],[f875,f883]) ).
fof(f1369,plain,
! [X0,X1] :
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,scratc1509353218_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1356280566nd_iii,X0),X1))),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1800882885d_n_is,X0),X1)))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1205650934lessis,X0),X1)) ),
inference(definition_unfolding,[],[f752,f1366]) ).
fof(f1372,plain,
! [X0,X1] :
( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,scratc1509353218_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1506992376_29_ii,X0),X1))),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1800882885d_n_is,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1339634546moreis,X0),X1)) ),
inference(definition_unfolding,[],[f753,f1366]) ).
fof(f1388,plain,
scratc1800882885d_n_is = fequal_TPTP_ind,
inference(definition_unfolding,[],[f797,f861]) ).
fof(f1415,plain,
! [X0] :
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),fFalse))
| pp(scratc1509353218_d_not(X0)) ),
inference(definition_unfolding,[],[f882,f883]) ).
fof(f1416,plain,
! [X0] :
( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),fFalse))
| ~ pp(scratc1509353218_d_not(X0)) ),
inference(definition_unfolding,[],[f881,f883]) ).
fof(f1507,plain,
! [X1] : pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X1),X1)),
inference(equality_resolution,[],[f1358]) ).
fof(f1508,definition,
sF25 = scratc1505336613all_of(aTP_Lamm_a),
introduced(definition,[new_symbols(definition,[sF25])],[function_definition]) ).
fof(f1509,plain,
scratc1505336613all_of(aTP_Lamm_a) = sF25,
inference(reorient_equations,[],[f1508]) ).
fof(f1510,definition,
sF26 = aa_fun171081125l_bool(sF25,aTP_Lamm_ab),
introduced(definition,[new_symbols(definition,[sF26])],[function_definition]) ).
fof(f1511,plain,
aa_fun171081125l_bool(sF25,aTP_Lamm_ab) = sF26,
inference(reorient_equations,[],[f1510]) ).
fof(f1512,plain,
~ pp(sF26),
inference(definition_folding,[],[f1363,f1511,f1509]) ).
fof(f1543,plain,
! [X0] :
( ~ pp(aa_fun171081125l_bool(sF25,aa_TPT43085870d_bool(aTP_Lamm_aa,X0)))
| pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0)) ),
inference(superposition,[],[f1141,f1509]) ).
fof(f1549,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1800882885d_n_is,X0),X1))
| X0 = X1
| ~ gg_TPTP_ind(X0)
| ~ gg_TPTP_ind(X1) ),
inference(superposition,[],[f1359,f1388]) ).
fof(f1554,plain,
! [X0,X1] :
( pp(scratc1509353218_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1356280566nd_iii,X0),X1)))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1205650934lessis,X0),X1)) ),
inference(resolution,[],[f1369,f1356]) ).
fof(f1563,plain,
! [X0] :
( gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,X0)))
| pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0)) ),
inference(resolution,[],[f946,f1141]) ).
fof(f1565,plain,
! [X0] :
( pp(aa_fun171081125l_bool(sF25,X0))
| gg_TPTP_ind(sK12(aTP_Lamm_a,X0)) ),
inference(superposition,[],[f946,f1509]) ).
fof(f1568,plain,
( pp(sF26)
| gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ab)) ),
inference(superposition,[],[f1565,f1511]) ).
fof(f1569,plain,
gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ab)),
inference(forward_subsumption_resolution,[],[f1568,f1512]) ).
fof(f1571,plain,
! [X0,X1] :
( ~ pp(scratc1509353218_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1506992376_29_ii,X0),X1)))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1800882885d_n_is,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1339634546moreis,X0),X1)) ),
inference(resolution,[],[f1354,f1372]) ).
fof(f1576,plain,
! [X0] : pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1800882885d_n_is,X0),X0)),
inference(superposition,[],[f1507,f1388]) ).
fof(f1586,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1506992376_29_ii,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1356280566nd_iii,X1),X0)) ),
inference(resolution,[],[f759,f758]) ).
fof(f1587,plain,
! [X0] :
( ~ pp(scratc1509353218_d_not(X0))
| ~ pp(X0)
| pp(fFalse) ),
inference(resolution,[],[f1416,f1354]) ).
fof(f1588,plain,
! [X0] :
( ~ pp(scratc1509353218_d_not(X0))
| ~ pp(X0) ),
inference(forward_subsumption_resolution,[],[f1587,f1353]) ).
fof(f1590,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1356280566nd_iii,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1205650934lessis,X0),X1)) ),
inference(resolution,[],[f1588,f1554]) ).
fof(f1592,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1800882885d_n_is,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1205650934lessis,X0),X1)) ),
inference(resolution,[],[f1355,f1369]) ).
fof(f1596,plain,
! [X0] : pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1205650934lessis,X0),X0)),
inference(resolution,[],[f1592,f1576]) ).
fof(f1597,plain,
! [X0] : pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X0)),
inference(resolution,[],[f1596,f1188]) ).
fof(f1599,plain,
! [X0,X1] :
( aa_fun171081125l_bool(X0,X1) = fTrue
| aa_fun171081125l_bool(X0,X1) = fFalse ),
inference(resolution,[],[f1352,f745]) ).
fof(f1625,plain,
! [X0] :
( ~ pp(fTrue)
| pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0))
| fFalse = aa_fun171081125l_bool(sF25,aa_TPT43085870d_bool(aTP_Lamm_aa,X0)) ),
inference(superposition,[],[f1543,f1599]) ).
fof(f1638,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0))
| fFalse = aa_fun171081125l_bool(sF25,aa_TPT43085870d_bool(aTP_Lamm_aa,X0)) ),
inference(forward_subsumption_resolution,[],[f1625,f1348]) ).
fof(f1674,plain,
! [X0,X1] :
( aa_TPTP_ind_bool(X0,X1) = fTrue
| aa_TPTP_ind_bool(X0,X1) = fFalse ),
inference(resolution,[],[f743,f1352]) ).
fof(f1699,plain,
! [X0] :
( pp(scratc1509353218_d_not(X0))
| pp(X0) ),
inference(resolution,[],[f1415,f1356]) ).
fof(f1700,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1339634546moreis,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1800882885d_n_is,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1506992376_29_ii,X0),X1)) ),
inference(resolution,[],[f1699,f1571]) ).
fof(f1703,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1506992376_29_ii,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1800882885d_n_is,X0),X1)) ),
inference(resolution,[],[f1700,f1187]) ).
fof(f1777,plain,
! [X0,X1] :
( ~ pp(fTrue)
| pp(aa_fun171081125l_bool(scratc1505336613all_of(X1),X0))
| fFalse = aa_TPTP_ind_bool(X0,sK12(X1,X0)) ),
inference(superposition,[],[f948,f1674]) ).
fof(f1788,plain,
! [X0,X1] :
( ~ pp(fTrue)
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1205650934lessis,X0),X1))
| fFalse = aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1356280566nd_iii,X0),X1) ),
inference(superposition,[],[f1590,f1674]) ).
fof(f1852,definition,
( spl27_14
<=> ! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1205650934lessis,X0),X1))
| fFalse = aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1356280566nd_iii,X0),X1) ) ),
introduced(definition,[new_symbols(definition,[spl27_14])],[avatar_definition]) ).
fof(f1853,plain,
( ! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1205650934lessis,X0),X1))
| fFalse = aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1356280566nd_iii,X0),X1) )
| ~ spl27_14 ),
inference(avatar_component_clause,[],[f1852]) ).
fof(f1860,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1205650934lessis,X0),X1))
| fFalse = aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1356280566nd_iii,X0),X1) ),
inference(forward_subsumption_resolution,[],[f1788,f1348]) ).
fof(f1863,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1505336613all_of(X1),X0))
| fFalse = aa_TPTP_ind_bool(X0,sK12(X1,X0)) ),
inference(forward_subsumption_resolution,[],[f1777,f1348]) ).
fof(f1866,plain,
spl27_14,
inference(avatar_split_clause,[],[f1860,f1852]) ).
fof(f1867,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0))
| fFalse = aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) ),
inference(resolution,[],[f1863,f1141]) ).
fof(f1887,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc1505336613all_of(X0),aTP_Lamm_ab))
| fFalse = aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(X0,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(X0,aTP_Lamm_ab)))) ),
inference(resolution,[],[f1867,f948]) ).
fof(f2216,plain,
( pp(aa_fun171081125l_bool(sF25,aTP_Lamm_ab))
| fFalse = aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))) ),
inference(superposition,[],[f1887,f1509]) ).
fof(f2218,plain,
( pp(sF26)
| fFalse = aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))) ),
inference(forward_demodulation,[],[f2216,f1511]) ).
fof(f2219,plain,
fFalse = aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),
inference(forward_subsumption_resolution,[],[f2218,f1512]) ).
fof(f2221,plain,
( pp(fFalse)
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1506992376_29_ii,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1800882885d_n_is,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))) ),
inference(superposition,[],[f1703,f2219]) ).
fof(f2231,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1506992376_29_ii,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1800882885d_n_is,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))) ),
inference(forward_subsumption_resolution,[],[f2221,f1353]) ).
fof(f2233,definition,
( spl27_20
<=> fFalse = aa_fun171081125l_bool(sF25,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))) ),
introduced(definition,[new_symbols(definition,[spl27_20])],[avatar_definition]) ).
fof(f2235,plain,
( fFalse = aa_fun171081125l_bool(sF25,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| ~ spl27_20 ),
inference(avatar_component_clause,[],[f2233]) ).
fof(f2241,definition,
( spl27_22
<=> gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))) ),
introduced(definition,[new_symbols(definition,[spl27_22])],[avatar_definition]) ).
fof(f2243,plain,
( ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| spl27_22 ),
inference(avatar_component_clause,[],[f2241]) ).
fof(f2246,definition,
( spl27_23
<=> pp(aa_TPTP_ind_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ab))) ),
introduced(definition,[new_symbols(definition,[spl27_23])],[avatar_definition]) ).
fof(f2247,plain,
( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| ~ spl27_23 ),
inference(avatar_component_clause,[],[f2246]) ).
fof(f2248,plain,
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| spl27_23 ),
inference(avatar_component_clause,[],[f2246]) ).
fof(f2251,definition,
( spl27_24
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1800882885d_n_is,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))) ),
introduced(definition,[new_symbols(definition,[spl27_24])],[avatar_definition]) ).
fof(f2253,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1800882885d_n_is,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
| ~ spl27_24 ),
inference(avatar_component_clause,[],[f2251]) ).
fof(f2255,definition,
( spl27_25
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1506992376_29_ii,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))) ),
introduced(definition,[new_symbols(definition,[spl27_25])],[avatar_definition]) ).
fof(f2257,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1506992376_29_ii,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
| ~ spl27_25 ),
inference(avatar_component_clause,[],[f2255]) ).
fof(f2258,plain,
( spl27_24
| spl27_25 ),
inference(avatar_split_clause,[],[f2231,f2255,f2251]) ).
fof(f2261,plain,
( sK12(aTP_Lamm_a,aTP_Lamm_ab) = sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ab))
| ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| ~ spl27_24 ),
inference(resolution,[],[f2253,f1549]) ).
fof(f2264,plain,
( sK12(aTP_Lamm_a,aTP_Lamm_ab) = sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| ~ spl27_24 ),
inference(forward_subsumption_resolution,[],[f2261,f1569]) ).
fof(f2266,definition,
( spl27_26
<=> sK12(aTP_Lamm_a,aTP_Lamm_ab) = sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))) ),
introduced(definition,[new_symbols(definition,[spl27_26])],[avatar_definition]) ).
fof(f2268,plain,
( sK12(aTP_Lamm_a,aTP_Lamm_ab) = sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| ~ spl27_26 ),
inference(avatar_component_clause,[],[f2266]) ).
fof(f2269,plain,
( ~ spl27_22
| spl27_26
| ~ spl27_24 ),
inference(avatar_split_clause,[],[f2264,f2251,f2266,f2241]) ).
fof(f2270,plain,
( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| spl27_22 ),
inference(resolution,[],[f2243,f1563]) ).
fof(f2271,plain,
( spl27_23
| spl27_22 ),
inference(avatar_split_clause,[],[f2270,f2241,f2246]) ).
fof(f2272,plain,
( pp(aa_fun171081125l_bool(scratc1505336613all_of(aTP_Lamm_a),aTP_Lamm_ab))
| ~ spl27_23 ),
inference(resolution,[],[f2247,f948]) ).
fof(f2275,plain,
( pp(aa_fun171081125l_bool(sF25,aTP_Lamm_ab))
| ~ spl27_23 ),
inference(forward_demodulation,[],[f2272,f1509]) ).
fof(f2276,plain,
( pp(sF26)
| ~ spl27_23 ),
inference(forward_demodulation,[],[f2275,f1511]) ).
fof(f2277,plain,
( $false
| ~ spl27_23 ),
inference(forward_subsumption_resolution,[],[f2276,f1512]) ).
fof(f2278,plain,
~ spl27_23,
inference(avatar_contradiction_clause,[],[f2277]) ).
fof(f2293,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1356280566nd_iii,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| ~ spl27_25 ),
inference(resolution,[],[f2257,f1586]) ).
fof(f2424,plain,
( ! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X1),X0))
| fFalse = aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1356280566nd_iii,X0),X1) )
| ~ spl27_14 ),
inference(resolution,[],[f1853,f1188]) ).
fof(f2942,plain,
( fFalse = aa_fun171081125l_bool(sF25,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| spl27_23 ),
inference(resolution,[],[f1638,f2248]) ).
fof(f2948,plain,
( spl27_20
| spl27_23 ),
inference(avatar_split_clause,[],[f2942,f2246,f2233]) ).
fof(f2996,plain,
( pp(fFalse)
| fFalse = aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1356280566nd_iii,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),sK12(aTP_Lamm_a,aTP_Lamm_ab))
| ~ spl27_14 ),
inference(superposition,[],[f2424,f2219]) ).
fof(f2998,plain,
( fFalse = aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1356280566nd_iii,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),sK12(aTP_Lamm_a,aTP_Lamm_ab))
| ~ spl27_14 ),
inference(forward_subsumption_resolution,[],[f2996,f1353]) ).
fof(f3000,plain,
( pp(fFalse)
| ~ spl27_14
| ~ spl27_25 ),
inference(superposition,[],[f2293,f2998]) ).
fof(f3018,plain,
( $false
| ~ spl27_14
| ~ spl27_25 ),
inference(forward_subsumption_resolution,[],[f3000,f1353]) ).
fof(f3019,plain,
( ~ spl27_14
| ~ spl27_25 ),
inference(avatar_contradiction_clause,[],[f3018]) ).
fof(f3056,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| pp(aa_fun171081125l_bool(scratc1505336613all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| ~ spl27_26 ),
inference(superposition,[],[f948,f2268]) ).
fof(f3057,plain,
( pp(aa_fun171081125l_bool(scratc1505336613all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| ~ spl27_26 ),
inference(forward_subsumption_resolution,[],[f3056,f1597]) ).
fof(f3060,plain,
( pp(aa_fun171081125l_bool(sF25,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| ~ spl27_26 ),
inference(forward_demodulation,[],[f3057,f1509]) ).
fof(f3064,plain,
( pp(fFalse)
| ~ spl27_20
| ~ spl27_26 ),
inference(forward_demodulation,[],[f3060,f2235]) ).
fof(f3067,plain,
( $false
| ~ spl27_20
| ~ spl27_26 ),
inference(forward_subsumption_resolution,[],[f3064,f1353]) ).
fof(f3068,plain,
( ~ spl27_20
| ~ spl27_26 ),
inference(avatar_contradiction_clause,[],[f3067]) ).
cnf(s12,plain,
spl27_14,
inference(sat_conversion,[],[f1866]) ).
cnf(s19,plain,
( spl27_24
| spl27_25 ),
inference(sat_conversion,[],[f2258]) ).
cnf(s20,plain,
( ~ spl27_22
| ~ spl27_24
| spl27_26 ),
inference(sat_conversion,[],[f2269]) ).
cnf(s21,plain,
( spl27_22
| spl27_23 ),
inference(sat_conversion,[],[f2271]) ).
cnf(s22,plain,
~ spl27_23,
inference(sat_conversion,[],[f2278]) ).
cnf(s51,plain,
( spl27_20
| spl27_23 ),
inference(sat_conversion,[],[f2948]) ).
cnf(s53,plain,
( ~ spl27_14
| ~ spl27_25 ),
inference(sat_conversion,[],[f3019]) ).
cnf(s58,plain,
( ~ spl27_20
| ~ spl27_26 ),
inference(sat_conversion,[],[f3068]) ).
cnf(s59,plain,
spl27_20,
inference(rat,[],[s51,s22]) ).
cnf(s60,plain,
~ spl27_26,
inference(rat,[],[s58,s59]) ).
cnf(s61,plain,
spl27_22,
inference(rat,[],[s21,s22]) ).
cnf(s62,plain,
~ spl27_24,
inference(rat,[],[s20,s60,s61]) ).
cnf(s63,plain,
spl27_25,
inference(rat,[],[s19,s62]) ).
cnf(s64,plain,
~ spl27_14,
inference(rat,[],[s53,s63]) ).
cnf(s67,plain,
$false,
inference(rat,[],[s12,s64]) ).
fof(f3069,plain,
$false,
inference(avatar_sat_refutation,[],[s67]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM660+4 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n007.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 20:57:28 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 10.25/2.38 % (1770240)Detected formulas, will run a generic FOF schedule.
% 10.25/2.38 % (1770246)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=1210888734:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.25/2.38 % (1770245)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=3571374501:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.25/2.38 % (1770247)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=3367125296:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.25/2.38 % (1770249)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=620609940:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.25/2.38 % (1770248)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1956359210:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.25/2.38 % (1770250)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1515358353:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.25/2.38 % (1770251)dis-21_1_sil=8000:lcm=predicate:random_seed=2470670414: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)
% 10.25/2.38 % (1770248)Refutation not found, incomplete strategy
% 10.25/2.38 % (1770248)------------------------------
% 10.25/2.38 % (1770248)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.25/2.38 % (1770248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.25/2.38 % (1770248)CaDiCaL version: 2.1.3
% 10.25/2.38 % (1770248)Termination reason: Refutation not found, incomplete strategy
% 10.25/2.38 % (1770248)Time elapsed: 0.002 s
% 10.25/2.38 % (1770248)Peak memory usage: 87 MB
% 10.25/2.38 % (1770248)Instructions burned: 2 (million)
% 10.25/2.38 % (1770249)Refutation not found, incomplete strategy
% 10.25/2.38 % (1770249)------------------------------
% 10.25/2.38 % (1770249)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.25/2.38 % (1770249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.25/2.38 % (1770249)CaDiCaL version: 2.1.3
% 10.25/2.38 % (1770249)Termination reason: Refutation not found, incomplete strategy
% 10.25/2.38 % (1770249)Time elapsed: 0.003 s
% 10.25/2.38 % (1770249)Peak memory usage: 88 MB
% 10.25/2.38 % (1770249)Instructions burned: 2 (million)
% 10.25/2.38 % (1770251)Instruction limit reached!
% 10.25/2.38 % (1770251)------------------------------
% 10.25/2.38 % (1770251)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.25/2.38 % (1770251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.25/2.38 % (1770251)CaDiCaL version: 2.1.3
% 10.25/2.38 % (1770251)Termination reason: Instruction limit
% 10.25/2.38 % (1770251)Termination phase: Saturation
% 10.25/2.38 % (1770251)Time elapsed: 0.079 s
% 10.25/2.38 % (1770251)Peak memory usage: 90 MB
% 10.25/2.38 % (1770251)Instructions burned: 130 (million)
% 10.25/2.38 % (1770250)Instruction limit reached!
% 10.25/2.38 % (1770250)------------------------------
% 10.25/2.38 % (1770250)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.25/2.38 % (1770250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.25/2.38 % (1770250)CaDiCaL version: 2.1.3
% 10.25/2.38 % (1770250)Termination reason: Instruction limit
% 10.25/2.38 % (1770250)Termination phase: Saturation
% 10.25/2.38 % (1770250)Time elapsed: 0.094 s
% 10.25/2.38 % (1770250)Peak memory usage: 90 MB
% 10.25/2.38 % (1770250)Instructions burned: 140 (million)
% 10.25/2.38 % (1770248)------------------------------
% 10.25/2.38 % (1770248)------------------------------
% 10.25/2.38 % (1770249)------------------------------
% 10.25/2.38 % (1770249)------------------------------
% 10.25/2.38 % (1770260)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2191669517:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 10.25/2.38 % (1770259)lrs+10_1_sil=8000:sp=occurrence:random_seed=492689663:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 10.25/2.38 % (1770259)Refutation not found, incomplete strategy
% 10.25/2.38 % (1770259)------------------------------
% 10.25/2.38 % (1770259)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.25/2.38 % (1770259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.25/2.38 % (1770259)CaDiCaL version: 2.1.3
% 10.25/2.38 % (1770259)Termination reason: Refutation not found, incomplete strategy
% 10.25/2.38 % (1770259)Time elapsed: 0.002 s
% 10.25/2.38 % (1770259)Peak memory usage: 88 MB
% 10.25/2.38 % (1770259)Instructions burned: 2 (million)
% 10.25/2.38 % (1770260)Refutation not found, incomplete strategy
% 10.25/2.38 % (1770260)------------------------------
% 10.25/2.38 % (1770260)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.25/2.38 % (1770260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.25/2.38 % (1770260)CaDiCaL version: 2.1.3
% 10.25/2.38 % (1770260)Termination reason: Refutation not found, incomplete strategy
% 10.25/2.38 % (1770260)Time elapsed: 0.004 s
% 10.25/2.38 % (1770260)Peak memory usage: 88 MB
% 10.25/2.38 % (1770260)Instructions burned: 6 (million)
% 10.25/2.38 % (1770264)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=1642592222:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 10.25/2.38 % (1770263)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3685013615:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 10.25/2.38 % (1770263)Refutation not found, incomplete strategy
% 10.25/2.38 % (1770263)------------------------------
% 10.25/2.38 % (1770263)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.25/2.38 % (1770263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.25/2.38 % (1770263)CaDiCaL version: 2.1.3
% 10.25/2.38 % (1770263)Termination reason: Refutation not found, incomplete strategy
% 10.25/2.38 % (1770263)Time elapsed: 0.005 s
% 10.25/2.38 % (1770263)Peak memory usage: 89 MB
% 10.25/2.38 % (1770263)Instructions burned: 4 (million)
% 10.25/2.38 % (1770260)------------------------------
% 10.25/2.38 % (1770260)------------------------------
% 10.25/2.38 % (1770259)------------------------------
% 10.25/2.38 % (1770259)------------------------------
% 10.25/2.38 % (1770264)Instruction limit reached!
% 10.25/2.38 % (1770264)------------------------------
% 10.25/2.38 % (1770264)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.25/2.38 % (1770264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.25/2.38 % (1770264)CaDiCaL version: 2.1.3
% 10.25/2.38 % (1770264)Termination reason: Instruction limit
% 10.25/2.38 % (1770264)Termination phase: Saturation
% 10.25/2.38 % (1770264)Time elapsed: 0.149 s
% 10.25/2.38 % (1770264)Peak memory usage: 93 MB
% 10.25/2.38 % (1770264)Instructions burned: 248 (million)
% 10.25/2.38 % (1770263)------------------------------
% 10.25/2.38 % (1770263)------------------------------
% 10.25/2.38 % (1770268)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2220898762:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 10.25/2.38 % (1770267)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2663487585:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 10.25/2.38 % (1770267)Refutation not found, incomplete strategy
% 10.25/2.38 % (1770267)------------------------------
% 10.25/2.38 % (1770267)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.25/2.38 % (1770267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.25/2.38 % (1770267)CaDiCaL version: 2.1.3
% 10.25/2.38 % (1770267)Termination reason: Refutation not found, incomplete strategy
% 10.25/2.39 % (1770267)Time elapsed: 0.005 s
% 10.25/2.39 % (1770267)Peak memory usage: 88 MB
% 10.25/2.39 % (1770267)Instructions burned: 6 (million)
% 10.25/2.39 % (1770269)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2048918107:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 10.25/2.39 % (1770269)Instruction limit reached!
% 10.25/2.39 % (1770269)------------------------------
% 10.25/2.39 % (1770269)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.25/2.39 % (1770269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.25/2.39 % (1770269)CaDiCaL version: 2.1.3
% 10.25/2.39 % (1770269)Termination reason: Instruction limit
% 10.25/2.39 % (1770269)Termination phase: Saturation
% 10.25/2.39 % (1770269)Time elapsed: 0.067 s
% 10.25/2.39 % (1770269)Peak memory usage: 90 MB
% 10.25/2.39 % (1770269)Instructions burned: 113 (million)
% 10.25/2.39 % (1770272)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2346584465:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 10.25/2.39 % (1770272)Instruction limit reached!
% 10.25/2.39 % (1770272)------------------------------
% 10.25/2.39 % (1770272)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.25/2.39 % (1770272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.25/2.39 % (1770272)CaDiCaL version: 2.1.3
% 10.25/2.39 % (1770272)Termination reason: Instruction limit
% 10.25/2.39 % (1770272)Termination phase: Saturation
% 10.25/2.39 % (1770272)Time elapsed: 0.062 s
% 10.25/2.39 % (1770272)Peak memory usage: 89 MB
% 10.25/2.39 % (1770272)Instructions burned: 129 (million)
% 10.25/2.39 % (1770267)------------------------------
% 10.25/2.39 % (1770267)------------------------------
% 10.25/2.39 % (1770274)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=241901610:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 10.25/2.39 % (1770274)Instruction limit reached!
% 10.25/2.39 % (1770274)------------------------------
% 10.25/2.39 % (1770274)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.25/2.39 % (1770274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.25/2.39 % (1770274)CaDiCaL version: 2.1.3
% 10.25/2.39 % (1770274)Termination reason: Instruction limit
% 10.25/2.39 % (1770274)Termination phase: Saturation
% 10.25/2.39 % (1770274)Time elapsed: 0.064 s
% 10.25/2.39 % (1770274)Peak memory usage: 89 MB
% 10.25/2.39 % (1770274)Instructions burned: 116 (million)
% 10.25/2.39 % (1770276)lrs+10_1_sil=8000:sp=occurrence:random_seed=3368168949:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2989 on theBenchmark for (2989ds/907Mi)
% 10.25/2.39 % (1770245)First to succeed.
% 10.25/2.39 % (1770245)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1770240"
% 10.25/2.39 % (1770277)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=936896935:i=437:sd=1:aac=none:ss=included_2988 on theBenchmark for (2988ds/437Mi)
% 10.25/2.39 % (1770277)Refutation not found, incomplete strategy
% 10.25/2.39 % (1770277)------------------------------
% 10.25/2.39 % (1770277)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.25/2.39 % (1770277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.25/2.39 % (1770277)CaDiCaL version: 2.1.3
% 10.25/2.39 % (1770277)Termination reason: Refutation not found, incomplete strategy
% 10.25/2.39 % (1770277)Time elapsed: 0.028 s
% 10.25/2.39 % (1770277)Peak memory usage: 90 MB
% 10.25/2.39 % (1770277)Instructions burned: 51 (million)
% 10.25/2.39 % (1770279)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1756021344:i=5202:ss=axioms:sgt=16_2987 on theBenchmark for (2987ds/5202Mi)
% 10.25/2.39 % (1770245)Refutation found. Thanks to Tanya!
% 10.25/2.39 % SZS status Theorem for theBenchmark
% 10.25/2.39 % SZS output start Proof for theBenchmark
% See solution above
% 11.24/2.59 % (1770245)------------------------------
% 11.24/2.59 % (1770245)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.24/2.59 % (1770245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.24/2.59 % (1770245)CaDiCaL version: 2.1.3
% 11.24/2.59 % (1770245)Termination reason: Refutation
% 11.24/2.59 % (1770245)Time elapsed: 1.080 s
% 11.24/2.59 % (1770245)Peak memory usage: 138 MB
% 11.24/2.59 % (1770245)Instructions burned: 1635 (million)
% 11.24/2.59 % (1770245)------------------------------
% 11.24/2.59 % (1770245)------------------------------
% 11.24/2.59 % (1770240)Success in time 1.524 s
% 11.24/2.59 % Vampire exiting
%------------------------------------------------------------------------------