%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV886-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:26:36 PM UTC 2026
% Result : Unsatisfiable 10.62s 4.08s
% Output : Refutation 10.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 45
% Syntax : Number of formulae : 152 ( 120 unt; 10 def)
% Number of atoms : 193 ( 106 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 85 ( 44 ~; 41 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 27 ( 27 usr; 18 con; 0-4 aty)
% Number of variables : 150 ( 150 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f91,axiom,
! [X0,X1] : c_HOL_Ominus__class_Ominus(X0,c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_diff__add__0_0) ).
fof(f92,plain,
! [X0,X1] : c_HOL_Ozero__class_Ozero(tc_nat) = c_HOL_Ominus__class_Ominus(X0,c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat),
inference(reorient_equations,[],[f91]) ).
fof(f115,axiom,
! [X2,X3,X0,X1] :
( ~ c_HOL_Oord__class_Oless(X1,X3,X0)
| c_HOL_Oord__class_Oless(X1,X2,X0)
| ~ class_Orderings_Oorder(X0)
| ~ c_lessequals(X3,X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_xt1_I8_J_0) ).
fof(f180,axiom,
! [X0] : c_HOL_Oord__class_Oless(X0,c_Suc(X0),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_lessI_0) ).
fof(f195,axiom,
! [X0,X1] : c_HOL_Oplus__class_Oplus(c_Suc(X0),X1,tc_nat) = c_HOL_Oplus__class_Oplus(X0,c_Suc(X1),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__Suc__shift_0) ).
fof(f219,axiom,
! [X0] : c_Ring__and__Field_Odvd__class_Odvd(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_dvd__1__left_0) ).
fof(f233,axiom,
! [X2,X0,X1] : c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_nat__add__assoc_0) ).
fof(f234,axiom,
! [X2,X0,X1] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_nat__add__left__commute_0) ).
fof(f256,axiom,
! [X0] : c_Suc(X0) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Suc__eq__plus1_0) ).
fof(f275,axiom,
! [X2,X0,X1] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_trans__less__add1_0) ).
fof(f286,axiom,
! [X0,X1] : c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = c_HOL_Oplus__class_Oplus(X1,X0,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_nat__add__commute_0) ).
fof(f310,axiom,
c_HOL_Oone__class_Oone(tc_nat) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_One__nat__def_0) ).
fof(f311,plain,
c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oone__class_Oone(tc_nat),
inference(reorient_equations,[],[f310]) ).
fof(f363,axiom,
! [X0,X1] : c_lessequals(X0,c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__add1_0) ).
fof(f373,axiom,
! [X0] : c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le0_0) ).
fof(f393,axiom,
! [X2,X0,X1] :
( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat)
| ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_diff__less__mono2_0) ).
fof(f399,axiom,
! [X2,X0,X1] : c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_diff__cancel2_0) ).
fof(f400,plain,
! [X2,X0,X1] : c_HOL_Ominus__class_Ominus(X0,X2,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat),
inference(reorient_equations,[],[f399]) ).
fof(f401,axiom,
! [X2,X0,X1] : c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_diff__cancel_0) ).
fof(f402,plain,
! [X2,X0,X1] : c_HOL_Ominus__class_Ominus(X1,X2,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat),
inference(reorient_equations,[],[f401]) ).
fof(f404,axiom,
! [X0,X1] : c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X0,tc_nat) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_diff__add__inverse_0) ).
fof(f454,axiom,
! [X0,X1] :
( ~ c_lessequals(X0,X1,tc_nat)
| c_HOL_Oplus__class_Oplus(X0,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__add__diff__inverse_0) ).
fof(f494,axiom,
! [X0] :
( X0 = c_Suc(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Suc__pred_H_0) ).
fof(f495,plain,
! [X0] :
( c_Suc(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) = X0
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(reorient_equations,[],[f494]) ).
fof(f572,axiom,
! [X0,X1] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| c_lessequals(X0,X1,tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_dvd__imp__le_0) ).
fof(f581,axiom,
! [X2,X0,X1] :
( ~ c_lessequals(X2,X0,tc_nat)
| c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_diff__add__assoc2_0) ).
fof(f582,axiom,
! [X2,X0,X1] :
( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
| ~ c_lessequals(X2,X1,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_diff__add__assoc_0) ).
fof(f583,plain,
! [X2,X0,X1] :
( ~ c_lessequals(X2,X1,tc_nat)
| c_HOL_Oplus__class_Oplus(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat) ),
inference(reorient_equations,[],[f582]) ).
fof(f585,axiom,
! [X2,X0,X1] :
( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1,tc_nat)
| c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__diff__conv_0) ).
fof(f613,axiom,
! [X2,X0,X1] :
( c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)),X2,tc_nat) = c_HOL_Ominus__class_Ominus(c_Suc(X0),c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)
| ~ c_lessequals(X1,X0,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_diff__Suc__diff__eq2_0) ).
fof(f618,axiom,
! [X0,X1] :
( c_lessequals(X0,X1,tc_nat)
| c_lessequals(X1,X0,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_nat__le__linear_0) ).
fof(f628,axiom,
! [X2,X0,X1] :
( ~ c_lessequals(X2,X1,tc_nat)
| c_lessequals(X0,X1,tc_nat)
| ~ c_lessequals(X0,X2,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__trans_0) ).
fof(f635,axiom,
! [X0] : ~ c_lessequals(c_Suc(X0),X0,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Suc__n__not__le__n_0) ).
fof(f655,axiom,
! [X0,X1] :
( c_HOL_Ominus__class_Ominus(c_Suc(X0),X1,tc_nat) = c_Suc(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat))
| ~ c_lessequals(X1,X0,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Suc__diff__le_0) ).
fof(f656,plain,
! [X0,X1] :
( c_Suc(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)) = c_HOL_Ominus__class_Ominus(c_Suc(X0),X1,tc_nat)
| ~ c_lessequals(X1,X0,tc_nat) ),
inference(reorient_equations,[],[f655]) ).
fof(f667,axiom,
! [X2,X0,X1] :
( c_Finite__Set_Ocard(c_Set_Oinsert(X0,X1,X2),X2) = c_Suc(c_Finite__Set_Ocard(X1,X2))
| c_in(X0,X1,X2)
| ~ c_Finite__Set_Ofinite(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_card__insert__if_1) ).
fof(f700,negated_conjecture,
c_lessequals(c_Suc(v_na),c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f701,negated_conjecture,
c_Finite__Set_Ocard(v_G,t_a) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),c_Suc(v_na),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f703,negated_conjecture,
~ c_in(hAPP(v_mgt__call,v_pn),v_G,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f704,negated_conjecture,
c_Finite__Set_Ofinite(v_G,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f705,negated_conjecture,
c_Finite__Set_Ocard(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),v_G,t_a),t_a) != c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),v_na,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f728,axiom,
class_Orderings_Oorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Orderings_Oorder) ).
fof(f753,plain,
! [X0] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
inference(definition_unfolding,[],[f180,f256]) ).
fof(f764,plain,
! [X0,X1] : c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
inference(definition_unfolding,[],[f195,f256,f256]) ).
fof(f772,plain,
! [X0] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0,tc_nat),
inference(definition_unfolding,[],[f219,f256]) ).
fof(f779,plain,
c_HOL_Oone__class_Oone(tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),
inference(definition_unfolding,[],[f311,f256]) ).
fof(f802,plain,
! [X0] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) = X0 ),
inference(definition_unfolding,[],[f495,f256]) ).
fof(f809,plain,
! [X2,X0,X1] :
( ~ c_lessequals(X1,X0,tc_nat)
| c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) ),
inference(definition_unfolding,[],[f613,f256,f256]) ).
fof(f816,plain,
! [X0] : ~ c_lessequals(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0,tc_nat),
inference(definition_unfolding,[],[f635,f256]) ).
fof(f822,plain,
! [X0,X1] :
( ~ c_lessequals(X1,X0,tc_nat)
| c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat) ),
inference(definition_unfolding,[],[f656,f256,f256]) ).
fof(f823,plain,
! [X2,X0,X1] :
( c_in(X0,X1,X2)
| c_Finite__Set_Ocard(c_Set_Oinsert(X0,X1,X2),X2) = c_HOL_Oplus__class_Oplus(c_Finite__Set_Ocard(X1,X2),c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| ~ c_Finite__Set_Ofinite(X1,X2) ),
inference(definition_unfolding,[],[f667,f256]) ).
fof(f829,plain,
c_lessequals(c_HOL_Oplus__class_Oplus(v_na,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),tc_nat),
inference(definition_unfolding,[],[f700,f256]) ).
fof(f830,plain,
c_Finite__Set_Ocard(v_G,t_a) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),c_HOL_Oplus__class_Oplus(v_na,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
inference(definition_unfolding,[],[f701,f256]) ).
fof(f831,definition,
sF0 = c_HOL_Oone__class_Oone(tc_nat),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f832,plain,
c_HOL_Oone__class_Oone(tc_nat) = sF0,
inference(reorient_equations,[],[f831]) ).
fof(f833,definition,
sF1 = c_HOL_Oplus__class_Oplus(v_na,sF0,tc_nat),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f834,plain,
c_HOL_Oplus__class_Oplus(v_na,sF0,tc_nat) = sF1,
inference(reorient_equations,[],[f833]) ).
fof(f835,definition,
sF2 = c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f836,plain,
c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a) = sF2,
inference(reorient_equations,[],[f835]) ).
fof(f837,definition,
sF3 = c_Finite__Set_Ocard(sF2,t_a),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f838,plain,
c_Finite__Set_Ocard(sF2,t_a) = sF3,
inference(reorient_equations,[],[f837]) ).
fof(f839,plain,
c_lessequals(sF1,sF3,tc_nat),
inference(definition_folding,[],[f829,f838,f836,f834,f832]) ).
fof(f840,definition,
sF4 = c_Finite__Set_Ocard(v_G,t_a),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f841,plain,
c_Finite__Set_Ocard(v_G,t_a) = sF4,
inference(reorient_equations,[],[f840]) ).
fof(f842,definition,
sF5 = c_HOL_Ominus__class_Ominus(sF3,sF1,tc_nat),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f843,plain,
c_HOL_Ominus__class_Ominus(sF3,sF1,tc_nat) = sF5,
inference(reorient_equations,[],[f842]) ).
fof(f844,plain,
sF4 = sF5,
inference(definition_folding,[],[f830,f843,f834,f832,f838,f836,f841]) ).
fof(f845,definition,
sF6 = hAPP(v_mgt__call,v_pn),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f846,plain,
hAPP(v_mgt__call,v_pn) = sF6,
inference(reorient_equations,[],[f845]) ).
fof(f847,plain,
~ c_in(sF6,v_G,t_a),
inference(definition_folding,[],[f703,f846]) ).
fof(f848,definition,
sF7 = c_Set_Oinsert(sF6,v_G,t_a),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f849,plain,
c_Set_Oinsert(sF6,v_G,t_a) = sF7,
inference(reorient_equations,[],[f848]) ).
fof(f850,definition,
sF8 = c_Finite__Set_Ocard(sF7,t_a),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f851,plain,
c_Finite__Set_Ocard(sF7,t_a) = sF8,
inference(reorient_equations,[],[f850]) ).
fof(f852,definition,
sF9 = c_HOL_Ominus__class_Ominus(sF3,v_na,tc_nat),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f853,plain,
c_HOL_Ominus__class_Ominus(sF3,v_na,tc_nat) = sF9,
inference(reorient_equations,[],[f852]) ).
fof(f854,plain,
sF8 != sF9,
inference(definition_folding,[],[f705,f853,f838,f836,f851,f849,f846]) ).
fof(f863,plain,
! [X0] : c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),
inference(forward_demodulation,[],[f772,f779]) ).
fof(f864,plain,
! [X0,X1] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat),
inference(forward_demodulation,[],[f764,f233]) ).
fof(f874,plain,
sF4 = c_HOL_Ominus__class_Ominus(sF3,sF1,tc_nat),
inference(forward_demodulation,[],[f843,f844]) ).
fof(f879,plain,
! [X0] : c_Ring__and__Field_Odvd__class_Odvd(sF0,X0,tc_nat),
inference(forward_demodulation,[],[f863,f832]) ).
fof(f880,plain,
! [X0,X1] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,sF0,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(sF0,X1,tc_nat),tc_nat),
inference(forward_demodulation,[],[f864,f832]) ).
fof(f957,plain,
! [X0] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X0,sF0,tc_nat),tc_nat),
inference(superposition,[],[f753,f832]) ).
fof(f969,plain,
! [X0] : ~ c_lessequals(c_HOL_Oplus__class_Oplus(X0,sF0,tc_nat),X0,tc_nat),
inference(superposition,[],[f816,f832]) ).
fof(f973,plain,
c_HOL_Oord__class_Oless(v_na,sF1,tc_nat),
inference(superposition,[],[f957,f834]) ).
fof(f2463,plain,
! [X0] :
( ~ c_lessequals(X0,sF1,tc_nat)
| c_lessequals(X0,sF3,tc_nat) ),
inference(resolution,[],[f628,f839]) ).
fof(f2891,plain,
! [X0] :
( c_lessequals(X0,sF3,tc_nat)
| c_lessequals(sF1,X0,tc_nat) ),
inference(resolution,[],[f2463,f618]) ).
fof(f2973,plain,
c_lessequals(sF1,c_HOL_Oplus__class_Oplus(sF3,sF0,tc_nat),tc_nat),
inference(resolution,[],[f2891,f969]) ).
fof(f3222,plain,
sF3 = c_HOL_Oplus__class_Oplus(sF1,c_HOL_Ominus__class_Ominus(sF3,sF1,tc_nat),tc_nat),
inference(resolution,[],[f454,f839]) ).
fof(f3248,plain,
sF3 = c_HOL_Oplus__class_Oplus(sF1,sF4,tc_nat),
inference(forward_demodulation,[],[f3222,f874]) ).
fof(f3280,plain,
! [X0] :
( ~ c_HOL_Oord__class_Oless(X0,sF1,tc_nat)
| c_HOL_Oord__class_Oless(X0,sF3,tc_nat) ),
inference(superposition,[],[f275,f3248]) ).
fof(f4636,plain,
c_HOL_Oord__class_Oless(v_na,sF3,tc_nat),
inference(resolution,[],[f3280,f973]) ).
fof(f4651,plain,
! [X0] :
( c_HOL_Oord__class_Oless(v_na,X0,tc_nat)
| ~ class_Orderings_Oorder(tc_nat)
| ~ c_lessequals(sF3,X0,tc_nat) ),
inference(resolution,[],[f4636,f115]) ).
fof(f4665,plain,
! [X0] :
( ~ c_lessequals(sF3,X0,tc_nat)
| c_HOL_Oord__class_Oless(v_na,X0,tc_nat) ),
inference(forward_subsumption_resolution,[],[f4651,f728]) ).
fof(f6213,plain,
! [X2,X0,X1] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat),
inference(superposition,[],[f286,f233]) ).
fof(f6900,plain,
! [X0] : c_HOL_Ominus__class_Ominus(X0,v_na,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,sF0,tc_nat),sF1,tc_nat),
inference(superposition,[],[f400,f834]) ).
fof(f7943,plain,
! [X2,X0,X1] : c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,sF0,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(sF0,X1,tc_nat),X2,tc_nat),
inference(superposition,[],[f402,f880]) ).
fof(f7997,plain,
! [X2,X1] : c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,sF0,tc_nat),X2,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(sF0,X1,tc_nat),X2,tc_nat),
inference(forward_demodulation,[],[f7943,f402]) ).
fof(f9451,plain,
! [X0] : c_HOL_Oord__class_Oless(v_na,c_HOL_Oplus__class_Oplus(sF3,X0,tc_nat),tc_nat),
inference(resolution,[],[f4665,f363]) ).
fof(f11927,plain,
! [X0] :
( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(sF3,X0,tc_nat),sF9,tc_nat)
| ~ c_HOL_Oord__class_Oless(v_na,sF3,tc_nat)
| ~ c_HOL_Oord__class_Oless(v_na,X0,tc_nat) ),
inference(superposition,[],[f393,f853]) ).
fof(f11935,plain,
! [X0] :
( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(sF3,X0,tc_nat),sF9,tc_nat)
| ~ c_HOL_Oord__class_Oless(v_na,X0,tc_nat) ),
inference(forward_subsumption_resolution,[],[f11927,f4636]) ).
fof(f13178,plain,
! [X0] : c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(sF3,sF0,tc_nat),X0,tc_nat),sF1,tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(sF3,sF0,tc_nat),sF1,tc_nat),X0,tc_nat),
inference(resolution,[],[f581,f2973]) ).
fof(f13182,plain,
! [X0] : c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(sF3,X0,tc_nat),sF1,tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(sF3,sF1,tc_nat),X0,tc_nat),
inference(resolution,[],[f581,f839]) ).
fof(f13242,plain,
! [X0] : c_HOL_Oplus__class_Oplus(sF4,X0,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(sF3,X0,tc_nat),sF1,tc_nat),
inference(forward_demodulation,[],[f13182,f874]) ).
fof(f13245,plain,
! [X0] : c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(sF3,v_na,tc_nat),X0,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(sF3,sF0,tc_nat),X0,tc_nat),sF1,tc_nat),
inference(forward_demodulation,[],[f13178,f6900]) ).
fof(f13290,plain,
! [X0] : c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(sF3,v_na,tc_nat),X0,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(sF3,c_HOL_Oplus__class_Oplus(sF0,X0,tc_nat),tc_nat),sF1,tc_nat),
inference(forward_demodulation,[],[f13245,f233]) ).
fof(f13318,plain,
! [X0] : c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(sF3,v_na,tc_nat),X0,tc_nat) = c_HOL_Oplus__class_Oplus(sF4,c_HOL_Oplus__class_Oplus(sF0,X0,tc_nat),tc_nat),
inference(forward_demodulation,[],[f13290,f13242]) ).
fof(f13329,plain,
! [X0] : c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(sF3,v_na,tc_nat),X0,tc_nat) = c_HOL_Oplus__class_Oplus(sF0,c_HOL_Oplus__class_Oplus(sF4,X0,tc_nat),tc_nat),
inference(forward_demodulation,[],[f13318,f234]) ).
fof(f13331,plain,
! [X0] : c_HOL_Oplus__class_Oplus(sF9,X0,tc_nat) = c_HOL_Oplus__class_Oplus(sF0,c_HOL_Oplus__class_Oplus(sF4,X0,tc_nat),tc_nat),
inference(forward_demodulation,[],[f13329,f853]) ).
fof(f17686,plain,
( c_Finite__Set_Ocard(c_Set_Oinsert(sF6,v_G,t_a),t_a) = c_HOL_Oplus__class_Oplus(c_Finite__Set_Ocard(v_G,t_a),c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| ~ c_Finite__Set_Ofinite(v_G,t_a) ),
inference(resolution,[],[f823,f847]) ).
fof(f17712,plain,
c_Finite__Set_Ocard(c_Set_Oinsert(sF6,v_G,t_a),t_a) = c_HOL_Oplus__class_Oplus(c_Finite__Set_Ocard(v_G,t_a),c_HOL_Oone__class_Oone(tc_nat),tc_nat),
inference(forward_subsumption_resolution,[],[f17686,f704]) ).
fof(f17725,plain,
c_Finite__Set_Ocard(c_Set_Oinsert(sF6,v_G,t_a),t_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_Finite__Set_Ocard(v_G,t_a),tc_nat),
inference(forward_demodulation,[],[f17712,f286]) ).
fof(f17729,plain,
c_Finite__Set_Ocard(c_Set_Oinsert(sF6,v_G,t_a),t_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),sF4,tc_nat),
inference(forward_demodulation,[],[f17725,f841]) ).
fof(f17732,plain,
c_HOL_Oplus__class_Oplus(sF4,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_Finite__Set_Ocard(c_Set_Oinsert(sF6,v_G,t_a),t_a),
inference(forward_demodulation,[],[f17729,f286]) ).
fof(f17735,plain,
c_Finite__Set_Ocard(sF7,t_a) = c_HOL_Oplus__class_Oplus(sF4,c_HOL_Oone__class_Oone(tc_nat),tc_nat),
inference(forward_demodulation,[],[f17732,f849]) ).
fof(f17738,plain,
c_Finite__Set_Ocard(sF7,t_a) = c_HOL_Oplus__class_Oplus(sF4,sF0,tc_nat),
inference(forward_demodulation,[],[f17735,f832]) ).
fof(f17739,plain,
c_Finite__Set_Ocard(sF7,t_a) = c_HOL_Oplus__class_Oplus(sF0,sF4,tc_nat),
inference(forward_demodulation,[],[f17738,f286]) ).
fof(f17740,plain,
sF8 = c_HOL_Oplus__class_Oplus(sF0,sF4,tc_nat),
inference(forward_demodulation,[],[f17739,f851]) ).
fof(f17753,plain,
c_HOL_Ozero__class_Ozero(tc_nat) = c_HOL_Ominus__class_Ominus(sF0,sF8,tc_nat),
inference(superposition,[],[f92,f17740]) ).
fof(f17775,plain,
c_lessequals(sF0,sF8,tc_nat),
inference(superposition,[],[f363,f17740]) ).
fof(f17787,plain,
sF4 = c_HOL_Ominus__class_Ominus(sF8,sF0,tc_nat),
inference(superposition,[],[f404,f17740]) ).
fof(f18092,plain,
! [X0] : c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(sF8,X0,tc_nat),sF0,tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(sF8,sF0,tc_nat),X0,tc_nat),
inference(resolution,[],[f17775,f581]) ).
fof(f18093,plain,
! [X0] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Ominus__class_Ominus(sF8,sF0,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,sF8,tc_nat),sF0,tc_nat),
inference(resolution,[],[f17775,f583]) ).
fof(f18112,plain,
! [X0] : c_HOL_Oplus__class_Oplus(X0,sF4,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,sF8,tc_nat),sF0,tc_nat),
inference(forward_demodulation,[],[f18093,f17787]) ).
fof(f18113,plain,
! [X0] : c_HOL_Oplus__class_Oplus(sF4,X0,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(sF8,X0,tc_nat),sF0,tc_nat),
inference(forward_demodulation,[],[f18092,f17787]) ).
fof(f19294,plain,
! [X0] :
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| c_lessequals(sF0,c_HOL_Oplus__class_Oplus(X0,sF8,tc_nat),tc_nat) ),
inference(superposition,[],[f585,f17753]) ).
fof(f19323,plain,
! [X0] : c_lessequals(sF0,c_HOL_Oplus__class_Oplus(X0,sF8,tc_nat),tc_nat),
inference(forward_subsumption_resolution,[],[f19294,f373]) ).
fof(f19617,plain,
! [X0] : c_lessequals(sF0,c_HOL_Oplus__class_Oplus(sF8,X0,tc_nat),tc_nat),
inference(superposition,[],[f19323,f286]) ).
fof(f20833,plain,
! [X0,X1] : c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(sF8,X0,tc_nat),sF0,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(sF8,X0,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(sF0,X1,tc_nat),tc_nat),
inference(resolution,[],[f809,f19617]) ).
fof(f20948,plain,
! [X0,X1] : c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(sF8,X0,tc_nat),sF0,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(sF8,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(sF0,X1,tc_nat),tc_nat),
inference(forward_demodulation,[],[f20833,f233]) ).
fof(f21066,plain,
! [X0,X1] : c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(sF8,X0,tc_nat),sF0,tc_nat),sF0,tc_nat),X1,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(sF8,c_HOL_Oplus__class_Oplus(X0,sF0,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(sF0,X1,tc_nat),tc_nat),
inference(forward_demodulation,[],[f20948,f832]) ).
fof(f21179,plain,
! [X0,X1] : c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(sF8,X0,tc_nat),sF0,tc_nat),sF0,tc_nat),X1,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(sF0,c_HOL_Oplus__class_Oplus(sF8,X0,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(sF0,X1,tc_nat),tc_nat),
inference(forward_demodulation,[],[f21066,f6213]) ).
fof(f21258,plain,
! [X0,X1] : c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(sF8,X0,tc_nat),X1,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(sF8,X0,tc_nat),sF0,tc_nat),sF0,tc_nat),X1,tc_nat),
inference(forward_demodulation,[],[f21179,f402]) ).
fof(f21311,plain,
! [X0,X1] : c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(sF8,X0,tc_nat),X1,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(sF0,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(sF8,X0,tc_nat),sF0,tc_nat),tc_nat),X1,tc_nat),
inference(forward_demodulation,[],[f21258,f7997]) ).
fof(f21334,plain,
! [X0,X1] : c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(sF8,X0,tc_nat),X1,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(sF0,c_HOL_Oplus__class_Oplus(sF4,X0,tc_nat),tc_nat),X1,tc_nat),
inference(forward_demodulation,[],[f21311,f18113]) ).
fof(f21341,plain,
! [X0,X1] : c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(sF8,X0,tc_nat),X1,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(sF9,X0,tc_nat),X1,tc_nat),
inference(forward_demodulation,[],[f21334,f13331]) ).
fof(f23069,plain,
! [X0] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),sF9,tc_nat)
| ~ c_HOL_Oord__class_Oless(v_na,c_HOL_Oplus__class_Oplus(sF3,X0,tc_nat),tc_nat) ),
inference(superposition,[],[f11935,f92]) ).
fof(f23070,plain,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),sF9,tc_nat),
inference(forward_subsumption_resolution,[],[f23069,f9451]) ).
fof(f23380,plain,
sF9 = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(sF9,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),
inference(resolution,[],[f23070,f802]) ).
fof(f23381,plain,
! [X0] :
( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,sF9,tc_nat)
| c_lessequals(X0,sF9,tc_nat) ),
inference(resolution,[],[f23070,f572]) ).
fof(f23407,plain,
sF9 = c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Ominus__class_Ominus(sF9,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
inference(forward_demodulation,[],[f23380,f286]) ).
fof(f23409,plain,
sF9 = c_HOL_Oplus__class_Oplus(sF0,c_HOL_Ominus__class_Ominus(sF9,sF0,tc_nat),tc_nat),
inference(forward_demodulation,[],[f23407,f832]) ).
fof(f24845,plain,
c_lessequals(sF0,sF9,tc_nat),
inference(resolution,[],[f23381,f879]) ).
fof(f24922,plain,
c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(sF9,sF0,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(sF9,c_HOL_Oone__class_Oone(tc_nat),tc_nat),sF0,tc_nat),
inference(resolution,[],[f24845,f822]) ).
fof(f24932,plain,
c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(sF8,c_HOL_Oone__class_Oone(tc_nat),tc_nat),sF0,tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(sF9,sF0,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),
inference(forward_demodulation,[],[f24922,f21341]) ).
fof(f24940,plain,
c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(sF8,c_HOL_Oone__class_Oone(tc_nat),tc_nat),sF0,tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Ominus__class_Ominus(sF9,sF0,tc_nat),tc_nat),
inference(forward_demodulation,[],[f24932,f286]) ).
fof(f24945,plain,
c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(sF8,sF0,tc_nat),sF0,tc_nat) = c_HOL_Oplus__class_Oplus(sF0,c_HOL_Ominus__class_Ominus(sF9,sF0,tc_nat),tc_nat),
inference(forward_demodulation,[],[f24940,f832]) ).
fof(f24948,plain,
sF9 = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(sF8,sF0,tc_nat),sF0,tc_nat),
inference(forward_demodulation,[],[f24945,f23409]) ).
fof(f24951,plain,
sF9 = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(sF0,sF8,tc_nat),sF0,tc_nat),
inference(forward_demodulation,[],[f24948,f7997]) ).
fof(f24954,plain,
sF9 = c_HOL_Oplus__class_Oplus(sF0,sF4,tc_nat),
inference(forward_demodulation,[],[f24951,f18112]) ).
fof(f24957,plain,
sF8 = sF9,
inference(forward_demodulation,[],[f24954,f17740]) ).
fof(f24959,plain,
$false,
inference(forward_subsumption_resolution,[],[f24957,f854]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV886-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n010.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 12:52:07 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 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
% 14.66/2.33 % (1900007)Will run a generic schedule for satisfiability detection.
% 14.66/2.33 % (1900018)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3044536497:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 14.66/2.33 % (1900013)% WARNING: option uhcvi not known.
% 14.66/2.33 % (1900013)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4061857696:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 14.66/2.33 % (1900015)dis+10_1_sil=32000:sp=arity:random_seed=2122166933:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 14.66/2.33 % (1900014)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2800858190:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 14.66/2.33 % (1900016)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2255759849:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 14.66/2.33 % (1900012)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2256083336_2999 on theBenchmark for (2999ds/0Mi)
% 14.66/2.33 % (1900017)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2016419589:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 14.66/2.33 % (1900018)Instruction limit reached!
% 14.66/2.33 % (1900018)------------------------------
% 14.66/2.33 % (1900018)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.66/2.33 % (1900018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.66/2.33 % (1900018)CaDiCaL version: 2.1.3
% 14.66/2.33 % (1900018)Termination reason: Instruction limit
% 14.66/2.33 % (1900018)Termination phase: Saturation
% 14.66/2.33 % (1900018)Time elapsed: 0.055 s
% 14.66/2.33 % (1900018)Peak memory usage: 14 MB
% 14.66/2.33 % (1900018)Instructions burned: 160 (million)
% 14.66/2.33 % (1900015)Instruction limit reached!
% 14.66/2.33 % (1900015)------------------------------
% 14.66/2.33 % (1900015)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.66/2.33 % (1900015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.66/2.33 % (1900015)CaDiCaL version: 2.1.3
% 14.66/2.33 % (1900015)Termination reason: Instruction limit
% 14.66/2.33 % (1900015)Termination phase: Saturation
% 14.66/2.33 % (1900015)Time elapsed: 0.064 s
% 14.66/2.33 % (1900015)Peak memory usage: 12 MB
% 14.66/2.33 % (1900015)Instructions burned: 104 (million)
% 14.66/2.33 % (1900016)Instruction limit reached!
% 14.66/2.33 % (1900016)------------------------------
% 14.66/2.33 % (1900016)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.66/2.33 % (1900016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.66/2.33 % (1900016)CaDiCaL version: 2.1.3
% 14.66/2.33 % (1900016)Termination reason: Instruction limit
% 14.66/2.33 % (1900016)Termination phase: Saturation
% 14.66/2.33 % (1900016)Time elapsed: 0.073 s
% 14.66/2.33 % (1900016)Peak memory usage: 13 MB
% 14.66/2.33 % (1900016)Instructions burned: 117 (million)
% 14.66/2.33 % (1900027)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3609575682:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 14.66/2.33 % (1900026)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1516794054:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 14.66/2.33 % TRYING [1]
% 14.66/2.33 % (1900017)Instruction limit reached!
% 14.66/2.33 % (1900017)------------------------------
% 14.66/2.33 % (1900017)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.66/2.33 % (1900017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.66/2.33 % (1900017)CaDiCaL version: 2.1.3
% 14.66/2.33 % (1900017)Termination reason: Instruction limit
% 14.66/2.33 % (1900017)Termination phase: Saturation
% 14.66/2.33 % (1900017)Time elapsed: 0.083 s
% 14.66/2.33 % (1900017)Peak memory usage: 13 MB
% 14.66/2.33 % (1900017)Instructions burned: 131 (million)
% 14.66/2.33 % TRYING [2]
% 14.66/2.33 % (1900028)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=913467718:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 14.66/2.33 % (1900031)ott-21_1_sil=16000:fs=off:random_seed=3346194334:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 14.66/2.33 % (1900027)Instruction limit reached!
% 14.66/2.33 % (1900027)------------------------------
% 14.66/2.33 % (1900027)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.66/2.33 % (1900027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.62/4.08 % (1900027)CaDiCaL version: 2.1.3
% 10.62/4.08 % (1900027)Termination reason: Instruction limit
% 10.62/4.08 % (1900027)Termination phase: Saturation
% 10.62/4.08 % (1900027)Time elapsed: 0.045 s
% 10.62/4.08 % (1900027)Peak memory usage: 14 MB
% 10.62/4.08 % (1900027)Instructions burned: 132 (million)
% 10.62/4.08 % (1900034)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=4026605160:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 10.62/4.08 % TRYING [3]
% 10.62/4.08 % TRYING [1]
% 10.62/4.08 % TRYING [2]
% 10.62/4.08 % (1900031)Instruction limit reached!
% 10.62/4.08 % (1900031)------------------------------
% 10.62/4.08 % (1900031)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.62/4.08 % (1900031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.62/4.08 % (1900031)CaDiCaL version: 2.1.3
% 10.62/4.08 % (1900031)Termination reason: Instruction limit
% 10.62/4.08 % (1900031)Termination phase: Saturation
% 10.62/4.08 % (1900031)Time elapsed: 0.096 s
% 10.62/4.08 % (1900031)Peak memory usage: 13 MB
% 10.62/4.08 % (1900031)Instructions burned: 180 (million)
% 10.62/4.08 % TRYING [3]
% 10.62/4.08 % (1900036)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=4186294152:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 10.62/4.08 % (1900034)Instruction limit reached!
% 10.62/4.08 % (1900034)------------------------------
% 10.62/4.08 % (1900034)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.62/4.08 % (1900034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.62/4.08 % (1900034)CaDiCaL version: 2.1.3
% 10.62/4.08 % (1900034)Termination reason: Instruction limit
% 10.62/4.08 % (1900034)Termination phase: Saturation
% 10.62/4.08 % (1900034)Time elapsed: 0.162 s
% 10.62/4.08 % (1900034)Peak memory usage: 14 MB
% 10.62/4.08 % (1900034)Instructions burned: 477 (million)
% 10.62/4.08 % TRYING [1]
% 10.62/4.08 % (1900038)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3783579299:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 10.62/4.08 % TRYING [2]
% 10.62/4.08 % (1900026)Instruction limit reached!
% 10.62/4.08 % (1900026)------------------------------
% 10.62/4.08 % (1900026)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.62/4.08 % (1900026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.62/4.08 % (1900026)CaDiCaL version: 2.1.3
% 10.62/4.08 % (1900026)Termination reason: Instruction limit
% 10.62/4.08 % (1900026)Termination phase: Finite model building constraint generation
% 10.62/4.08 % (1900026)Time elapsed: 0.296 s
% 10.62/4.08 % (1900026)Peak memory usage: 42 MB
% 10.62/4.08 % (1900026)Instructions burned: 717 (million)
% 10.62/4.08 % (1900040)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=4219106620:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 10.62/4.08 % TRYING [4]
% 10.62/4.08 % (1900028)Instruction limit reached!
% 10.62/4.08 % (1900028)------------------------------
% 10.62/4.08 % (1900028)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.62/4.08 % (1900028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.62/4.08 % (1900028)CaDiCaL version: 2.1.3
% 10.62/4.08 % (1900028)Termination reason: Instruction limit
% 10.62/4.08 % (1900028)Termination phase: Saturation
% 10.62/4.08 % (1900028)Time elapsed: 0.399 s
% 10.62/4.08 % (1900028)Peak memory usage: 16 MB
% 10.62/4.08 % (1900028)Instructions burned: 685 (million)
% 10.62/4.08 % (1900042)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=1453516578:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 10.62/4.08 % TRYING [3]
% 10.62/4.08 % (1900036)Instruction limit reached!
% 10.62/4.08 % (1900036)------------------------------
% 10.62/4.08 % (1900036)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.62/4.08 % (1900036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.62/4.08 % (1900036)CaDiCaL version: 2.1.3
% 10.62/4.08 % (1900036)Termination reason: Instruction limit
% 10.62/4.08 % (1900036)Termination phase: Finite model building constraint generation
% 10.62/4.08 % (1900036)Time elapsed: 0.375 s
% 10.62/4.08 % (1900036)Peak memory usage: 30 MB
% 10.62/4.08 % (1900036)Instructions burned: 867 (million)
% 10.62/4.08 % (1900044)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=187285516:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 10.62/4.08 % (1900038)Instruction limit reached!
% 10.62/4.08 % (1900038)------------------------------
% 10.62/4.08 % (1900038)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.62/4.08 % (1900038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.62/4.08 % (1900038)CaDiCaL version: 2.1.3
% 10.62/4.08 % (1900038)Termination reason: Instruction limit
% 10.62/4.08 % (1900038)Termination phase: Saturation
% 10.62/4.08 % (1900038)Time elapsed: 0.397 s
% 10.62/4.08 % (1900038)Peak memory usage: 20 MB
% 10.62/4.08 % (1900038)Instructions burned: 1179 (million)
% 10.62/4.08 % (1900046)fmb+10_1_sil=64000:random_seed=1923030240:i=22061:nm=2:gsp=on_2992 on theBenchmark for (2992ds/22061Mi)
% 10.62/4.08 % TRYING [1]
% 10.62/4.08 % TRYING [2]
% 10.62/4.08 % (1900040)Instruction limit reached!
% 10.62/4.08 % (1900040)------------------------------
% 10.62/4.08 % (1900040)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.62/4.08 % (1900040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.62/4.08 % (1900040)CaDiCaL version: 2.1.3
% 10.62/4.08 % (1900040)Termination reason: Instruction limit
% 10.62/4.08 % (1900040)Termination phase: Finite model building constraint generation
% 10.62/4.08 % (1900040)Time elapsed: 0.429 s
% 10.62/4.08 % (1900040)Peak memory usage: 102 MB
% 10.62/4.08 % (1900040)Instructions burned: 889 (million)
% 10.62/4.08 % (1900048)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2135559368:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 10.62/4.08 % TRYING [3]
% 10.62/4.08 % (1900042)Instruction limit reached!
% 10.62/4.08 % (1900042)------------------------------
% 10.62/4.08 % (1900042)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.62/4.08 % (1900042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.62/4.08 % (1900042)CaDiCaL version: 2.1.3
% 10.62/4.08 % (1900042)Termination reason: Instruction limit
% 10.62/4.08 % (1900042)Termination phase: Saturation
% 10.62/4.08 % (1900042)Time elapsed: 0.381 s
% 10.62/4.08 % (1900042)Peak memory usage: 16 MB
% 10.62/4.08 % (1900042)Instructions burned: 693 (million)
% 10.62/4.08 % (1900050)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2575625266:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 10.62/4.08 % TRYING [20]
% 10.62/4.08 % TRYING [8]
% 10.62/4.08 % (1900044)Instruction limit reached!
% 10.62/4.08 % (1900044)------------------------------
% 10.62/4.08 % (1900044)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.62/4.08 % (1900044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.62/4.08 % (1900044)CaDiCaL version: 2.1.3
% 10.62/4.08 % (1900044)Termination reason: Instruction limit
% 10.62/4.08 % (1900044)Termination phase: Saturation
% 10.62/4.08 % (1900044)Time elapsed: 0.506 s
% 10.62/4.08 % (1900044)Peak memory usage: 20 MB
% 10.62/4.08 % (1900044)Instructions burned: 879 (million)
% 10.62/4.08 % (1900052)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2417665281:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 10.62/4.08 % (1900050)Instruction limit reached!
% 10.62/4.08 % (1900050)------------------------------
% 10.62/4.08 % (1900050)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.62/4.08 % (1900050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.62/4.08 % (1900050)CaDiCaL version: 2.1.3
% 10.62/4.08 % (1900050)Termination reason: Instruction limit
% 10.62/4.08 % (1900050)Termination phase: Finite model building constraint generation
% 10.62/4.08 % (1900050)Time elapsed: 0.340 s
% 10.62/4.08 % (1900050)Peak memory usage: 64 MB
% 10.62/4.08 % (1900050)Instructions burned: 922 (million)
% 10.62/4.08 % (1900054)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=693377744:i=1472:ins=7:fdi=8:gsp=on_2986 on theBenchmark for (2986ds/1472Mi)
% 10.62/4.08 % TRYING [4]
% 10.62/4.08 % TRYING [5]
% 10.62/4.08 % (1900054)Instruction limit reached!
% 10.62/4.08 % (1900054)------------------------------
% 10.62/4.08 % (1900054)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.62/4.08 % (1900054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.62/4.08 % (1900054)CaDiCaL version: 2.1.3
% 10.62/4.08 % (1900054)Termination reason: Instruction limit
% 10.62/4.08 % (1900054)Termination phase: Saturation
% 10.62/4.08 % (1900054)Time elapsed: 0.686 s
% 10.62/4.08 % (1900054)Peak memory usage: 24 MB
% 10.62/4.08 % (1900054)Instructions burned: 1474 (million)
% 10.62/4.08 % (1900056)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3490136024:i=6324_2979 on theBenchmark for (2979ds/6324Mi)
% 10.62/4.08 % (1900056)Cannot represent all propositional literals internally
% 10.62/4.08 % (1900056)Refutation not found, incomplete strategy
% 10.62/4.08 % (1900056)------------------------------
% 10.62/4.08 % (1900056)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.62/4.08 % (1900056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.62/4.08 % (1900056)CaDiCaL version: 2.1.3
% 10.62/4.08 % (1900056)Termination reason: Refutation not found, incomplete strategy
% 10.62/4.08 % (1900056)Time elapsed: 0.079 s
% 10.62/4.08 % (1900056)Peak memory usage: 14 MB
% 10.62/4.08 % (1900056)Instructions burned: 160 (million)
% 10.62/4.08 % (1900056)------------------------------
% 10.62/4.08 % (1900056)------------------------------
% 10.62/4.08 % (1900058)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1730367853:fmbsr=2.30978:i=2174_2978 on theBenchmark for (2978ds/2174Mi)
% 10.62/4.08 % (1900058)Cannot represent all propositional literals internally
% 10.62/4.08 % (1900058)Refutation not found, incomplete strategy
% 10.62/4.08 % (1900058)------------------------------
% 10.62/4.08 % (1900058)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.62/4.08 % (1900058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.62/4.08 % (1900058)CaDiCaL version: 2.1.3
% 10.62/4.08 % (1900058)Termination reason: Refutation not found, incomplete strategy
% 10.62/4.08 % (1900058)Time elapsed: 0.337 s
% 10.62/4.08 % (1900058)Peak memory usage: 20 MB
% 10.62/4.08 % (1900058)Instructions burned: 688 (million)
% 10.62/4.08 % (1900058)------------------------------
% 10.62/4.08 % (1900058)------------------------------
% 10.62/4.08 % (1900060)ott-2_1_sil=16000:newcnf=on:random_seed=3278951289:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2975 on theBenchmark for (2975ds/869Mi)
% 10.62/4.08 % (1900060)Instruction limit reached!
% 10.62/4.08 % (1900060)------------------------------
% 10.62/4.08 % (1900060)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.62/4.08 % (1900060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.62/4.08 % (1900060)CaDiCaL version: 2.1.3
% 10.62/4.08 % (1900060)Termination reason: Instruction limit
% 10.62/4.08 % (1900060)Termination phase: Saturation
% 10.62/4.08 % (1900060)Time elapsed: 0.522 s
% 10.62/4.08 % (1900060)Peak memory usage: 17 MB
% 10.62/4.08 % (1900060)Instructions burned: 870 (million)
% 10.62/4.08 % (1900062)ott+10_1_sil=32000:tgt=ground:random_seed=3066676885:i=5114:av=off_2969 on theBenchmark for (2969ds/5114Mi)
% 10.62/4.08 % TRYING [5]
% 10.62/4.08 % (1900062) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1900007-1900062"...
% 10.62/4.08 % (1900062)...printing done.
% 10.62/4.08 % (1900062)Refutation found. Thanks to Tanya!
% 10.62/4.08 % SZS status Unsatisfiable for theBenchmark
% 10.62/4.08 % SZS output start Proof for theBenchmark
% See solution above
% 10.62/4.09 % (1900062)------------------------------
% 10.62/4.09 % (1900062)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.62/4.09 % (1900062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.62/4.09 % (1900062)CaDiCaL version: 2.1.3
% 10.62/4.09 % (1900062)Termination reason: Refutation
% 10.62/4.09 % (1900062)Time elapsed: 0.748 s
% 10.62/4.09 % (1900062)Peak memory usage: 19 MB
% 10.62/4.09 % (1900062)Instructions burned: 1201 (million)
% 10.62/4.09 % (1900007)Success in time 3.867 s
% 10.62/4.09 % Vampire exiting
%------------------------------------------------------------------------------