%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV926-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 01:19:48 PM UTC 2026
% Result : Unsatisfiable 2.44s 1.31s
% Output : Refutation 4.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 17
% Syntax : Number of formulae : 67 ( 17 unt; 3 def)
% Number of atoms : 136 ( 11 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 147 ( 78 ~; 66 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 4 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-3 aty)
% Number of variables : 34 ( 0 sgn 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f457,axiom,
! [X2,X3,X0,X1] :
( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X0),X2,X0)
| c_lessequals(X1,X2,X0)
| ~ class_Lattices_Oupper__semilattice(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__supE_0) ).
fof(f459,axiom,
! [X2,X3,X0,X1] :
( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X0),X0)
| ~ class_Lattices_Oupper__semilattice(X0)
| ~ c_lessequals(X1,X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__supI1_0) ).
fof(f460,axiom,
! [X2,X3,X0,X1] :
( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X0),X0)
| ~ class_Lattices_Oupper__semilattice(X0)
| ~ c_lessequals(X1,X3,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__supI2_0) ).
fof(f469,axiom,
! [X2,X0,X1] :
( ~ c_lessequals(X1,X2,X0)
| c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0) = X2
| ~ class_Lattices_Oupper__semilattice(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__iff__sup_0) ).
fof(f489,axiom,
! [X2,X3,X0,X1] : c_Lattices_Oupper__semilattice__class_Osup(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X0,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__left__commute_0) ).
fof(f497,axiom,
! [X2,X0,X1] : c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__upper1_0) ).
fof(f501,axiom,
! [X2,X0,X1] :
( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X0),X0)
| ~ class_Lattices_Oupper__semilattice(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__ge2_0) ).
fof(f506,axiom,
! [X2,X0,X1] : c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,X0,tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__commute_0) ).
fof(f516,negated_conjecture,
c_lessequals(v_ad,v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f519,negated_conjecture,
c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),v_ac,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) = v_ab,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f520,plain,
v_ab = c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),v_ac,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),
inference(reorient_equations,[],[f519]) ).
fof(f522,negated_conjecture,
c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),v_ae,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) = v_ad,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f523,plain,
v_ad = c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),v_ae,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),
inference(reorient_equations,[],[f522]) ).
fof(f525,negated_conjecture,
( ~ c_lessequals(v_x,c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_ac,v_x,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
| ~ c_lessequals(v_ae,c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_ac,v_x,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
| ~ c_lessequals(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_ac,v_x,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_7) ).
fof(f526,axiom,
! [X0,X1] :
( class_Lattices_Oupper__semilattice(tc_fun(X0,X1))
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Lattices_Oupper__semilattice) ).
fof(f543,axiom,
class_Lattices_Olattice(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Lattices_Olattice) ).
fof(f555,plain,
( ~ c_lessequals(v_x,c_Lattices_Oupper__semilattice__class_Osup(v_ac,c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),v_x,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
| ~ c_lessequals(v_ae,c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_ac,v_x,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
| ~ c_lessequals(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_ac,v_x,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) ),
inference(forward_demodulation,[],[f525,f489]) ).
fof(f556,plain,
v_ad = c_Lattices_Oupper__semilattice__class_Osup(v_ae,c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),
inference(forward_demodulation,[],[f523,f506]) ).
fof(f557,plain,
v_ab = c_Lattices_Oupper__semilattice__class_Osup(v_ac,c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),
inference(forward_demodulation,[],[f520,f506]) ).
fof(f559,plain,
( ~ c_lessequals(v_x,c_Lattices_Oupper__semilattice__class_Osup(v_ac,c_Lattices_Oupper__semilattice__class_Osup(v_x,c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
| ~ c_lessequals(v_ae,c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_ac,v_x,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
| ~ c_lessequals(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_ac,v_x,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) ),
inference(forward_demodulation,[],[f555,f506]) ).
fof(f560,plain,
( ~ c_lessequals(v_x,c_Lattices_Oupper__semilattice__class_Osup(v_x,c_Lattices_Oupper__semilattice__class_Osup(v_ac,c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
| ~ c_lessequals(v_ae,c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_ac,v_x,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
| ~ c_lessequals(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_ac,v_x,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) ),
inference(forward_demodulation,[],[f559,f489]) ).
fof(f561,plain,
( ~ c_lessequals(v_ae,c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_ac,v_x,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
| ~ c_lessequals(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_ac,v_x,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) ),
inference(forward_subsumption_resolution,[],[f560,f497]) ).
fof(f562,plain,
( ~ c_lessequals(v_ae,c_Lattices_Oupper__semilattice__class_Osup(v_ac,c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),v_x,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
| ~ c_lessequals(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_ac,v_x,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) ),
inference(forward_demodulation,[],[f561,f489]) ).
fof(f563,plain,
( ~ c_lessequals(v_ae,c_Lattices_Oupper__semilattice__class_Osup(v_ac,c_Lattices_Oupper__semilattice__class_Osup(v_x,c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
| ~ c_lessequals(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_ac,v_x,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) ),
inference(forward_demodulation,[],[f562,f506]) ).
fof(f564,plain,
( ~ c_lessequals(v_ae,c_Lattices_Oupper__semilattice__class_Osup(v_x,c_Lattices_Oupper__semilattice__class_Osup(v_ac,c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
| ~ c_lessequals(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_ac,v_x,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) ),
inference(forward_demodulation,[],[f563,f489]) ).
fof(f565,plain,
( ~ c_lessequals(v_ae,c_Lattices_Oupper__semilattice__class_Osup(v_x,v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
| ~ c_lessequals(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_ac,v_x,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) ),
inference(forward_demodulation,[],[f564,f557]) ).
fof(f566,plain,
( ~ c_lessequals(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_ac,c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),v_x,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
| ~ c_lessequals(v_ae,c_Lattices_Oupper__semilattice__class_Osup(v_x,v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) ),
inference(forward_demodulation,[],[f565,f489]) ).
fof(f567,plain,
( ~ c_lessequals(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_ac,c_Lattices_Oupper__semilattice__class_Osup(v_x,c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
| ~ c_lessequals(v_ae,c_Lattices_Oupper__semilattice__class_Osup(v_x,v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) ),
inference(forward_demodulation,[],[f566,f506]) ).
fof(f568,plain,
( ~ c_lessequals(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_x,c_Lattices_Oupper__semilattice__class_Osup(v_ac,c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
| ~ c_lessequals(v_ae,c_Lattices_Oupper__semilattice__class_Osup(v_x,v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) ),
inference(forward_demodulation,[],[f567,f489]) ).
fof(f569,plain,
( ~ c_lessequals(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_x,v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
| ~ c_lessequals(v_ae,c_Lattices_Oupper__semilattice__class_Osup(v_x,v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) ),
inference(forward_demodulation,[],[f568,f557]) ).
fof(f571,definition,
( spl0_1
<=> c_lessequals(v_ae,c_Lattices_Oupper__semilattice__class_Osup(v_x,v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f573,plain,
( ~ c_lessequals(v_ae,c_Lattices_Oupper__semilattice__class_Osup(v_x,v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
| spl0_1 ),
inference(avatar_component_clause,[],[f571]) ).
fof(f575,definition,
( spl0_2
<=> c_lessequals(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_x,v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f577,plain,
( ~ c_lessequals(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_x,v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
| spl0_2 ),
inference(avatar_component_clause,[],[f575]) ).
fof(f578,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f569,f575,f571]) ).
fof(f591,definition,
( spl0_3
<=> class_Lattices_Oupper__semilattice(tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f592,plain,
( class_Lattices_Oupper__semilattice(tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f591]) ).
fof(f593,plain,
( ~ class_Lattices_Oupper__semilattice(tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
| spl0_3 ),
inference(avatar_component_clause,[],[f591]) ).
fof(f604,plain,
( c_lessequals(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),v_ad,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) ),
inference(superposition,[],[f501,f556]) ).
fof(f609,plain,
( ~ class_Lattices_Olattice(tc_bool)
| spl0_3 ),
inference(resolution,[],[f593,f526]) ).
fof(f610,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f609,f543]) ).
fof(f611,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f610]) ).
fof(f613,plain,
( c_lessequals(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),v_ad,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f604,f592]) ).
fof(f742,plain,
( v_ab = c_Lattices_Oupper__semilattice__class_Osup(v_ad,v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) ),
inference(resolution,[],[f469,f516]) ).
fof(f753,plain,
( v_ab = c_Lattices_Oupper__semilattice__class_Osup(v_ad,v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f742,f592]) ).
fof(f899,plain,
! [X0] :
( ~ c_lessequals(v_ad,X0,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
| c_lessequals(v_ae,X0,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) ),
inference(superposition,[],[f457,f556]) ).
fof(f916,plain,
( ! [X0] :
( ~ c_lessequals(v_ad,X0,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
| c_lessequals(v_ae,X0,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) )
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f899,f592]) ).
fof(f970,plain,
( ! [X0] :
( c_lessequals(X0,v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
| ~ c_lessequals(X0,v_ad,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) )
| ~ spl0_3 ),
inference(superposition,[],[f459,f753]) ).
fof(f984,plain,
( ! [X0] :
( ~ c_lessequals(X0,v_ad,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
| c_lessequals(X0,v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) )
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f970,f592]) ).
fof(f988,plain,
( ~ class_Lattices_Oupper__semilattice(tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
| ~ c_lessequals(v_ae,v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
| spl0_1 ),
inference(resolution,[],[f460,f573]) ).
fof(f1016,plain,
( ~ c_lessequals(v_ae,v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
| spl0_1
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f988,f592]) ).
fof(f1138,plain,
( c_lessequals(v_ae,v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
| ~ spl0_3 ),
inference(resolution,[],[f916,f516]) ).
fof(f1162,plain,
( $false
| spl0_1
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f1138,f1016]) ).
fof(f1163,plain,
( spl0_1
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f1162]) ).
fof(f1176,plain,
( ~ class_Lattices_Oupper__semilattice(tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
| ~ c_lessequals(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
| spl0_2 ),
inference(resolution,[],[f577,f460]) ).
fof(f1179,plain,
( ~ c_lessequals(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
| spl0_2
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f1176,f592]) ).
fof(f1366,plain,
( c_lessequals(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
| ~ spl0_3 ),
inference(resolution,[],[f984,f613]) ).
fof(f1369,plain,
( $false
| spl0_2
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f1366,f1179]) ).
fof(f1370,plain,
( spl0_2
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f1369]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f578]) ).
cnf(s4,plain,
spl0_3,
inference(sat_conversion,[],[f611]) ).
cnf(s21,plain,
( spl0_1
| ~ spl0_3 ),
inference(sat_conversion,[],[f1163]) ).
cnf(s31,plain,
( spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f1370]) ).
cnf(s32,plain,
spl0_2,
inference(rat,[],[s31,s4]) ).
cnf(s35,plain,
spl0_1,
inference(rat,[],[s21,s4]) ).
cnf(s42,plain,
$false,
inference(rat,[],[s1,s32,s35]) ).
fof(f1371,plain,
$false,
inference(avatar_sat_refutation,[],[s42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV926-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n006.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 12:55:10 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 2.44/1.31 % (3941308)Input is clausal, will run a generic CNF schedule.
% 2.44/1.31 % (3941420)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=863834952:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.44/1.31 % (3941420)Instruction limit reached!
% 2.44/1.31 % (3941420)------------------------------
% 2.44/1.31 % (3941420)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.44/1.31 % (3941420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.44/1.31 % (3941420)CaDiCaL version: 2.1.3
% 2.44/1.31 % (3941420)Termination reason: Instruction limit
% 2.44/1.31 % (3941420)Termination phase: Saturation
% 2.44/1.31 % (3941420)Time elapsed: 0.036 s
% 2.44/1.31 % (3941420)Peak memory usage: 88 MB
% 2.44/1.31 % (3941420)Instructions burned: 115 (million)
% 2.44/1.31 % (3941421)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=56493081:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.44/1.31 % (3941422)dis-21_1_sil=8000:lcm=predicate:random_seed=1250084233:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.44/1.31 % (3941418)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1637137564:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.44/1.31 % (3941417)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=12981402:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.44/1.31 % (3941419)lrs+10_1_sil=8000:sp=occurrence:random_seed=2514232720:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.44/1.31 % (3941416)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=44802828:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.44/1.31 % (3941422)Instruction limit reached!
% 2.44/1.31 % (3941422)------------------------------
% 2.44/1.31 % (3941422)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.44/1.31 % (3941422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.44/1.31 % (3941422)CaDiCaL version: 2.1.3
% 2.44/1.31 % (3941422)Termination reason: Instruction limit
% 2.44/1.31 % (3941422)Termination phase: Saturation
% 2.44/1.31 % (3941422)Time elapsed: 0.058 s
% 2.44/1.31 % (3941422)Peak memory usage: 88 MB
% 2.44/1.31 % (3941422)Instructions burned: 117 (million)
% 2.44/1.31 % (3941419)First to succeed.
% 2.44/1.31 % (3941419)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3941308"
% 2.44/1.31 % (3941421)Instruction limit reached!
% 2.44/1.31 % (3941421)------------------------------
% 2.44/1.31 % (3941421)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.44/1.31 % (3941421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.44/1.31 % (3941421)CaDiCaL version: 2.1.3
% 2.44/1.31 % (3941421)Termination reason: Instruction limit
% 2.44/1.31 % (3941421)Termination phase: Saturation
% 2.44/1.31 % (3941421)Time elapsed: 0.097 s
% 2.44/1.31 % (3941421)Peak memory usage: 89 MB
% 2.44/1.31 % (3941421)Instructions burned: 180 (million)
% 2.44/1.31 % (3941451)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=2919985721:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 2.44/1.31 % (3941451)Instruction limit reached!
% 2.44/1.31 % (3941451)------------------------------
% 2.44/1.31 % (3941451)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.44/1.31 % (3941451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.44/1.31 % (3941451)CaDiCaL version: 2.1.3
% 2.44/1.31 % (3941451)Termination reason: Instruction limit
% 2.44/1.31 % (3941451)Termination phase: Saturation
% 2.44/1.31 % (3941451)Time elapsed: 0.049 s
% 2.44/1.31 % (3941451)Peak memory usage: 89 MB
% 2.44/1.31 % (3941451)Instructions burned: 146 (million)
% 2.44/1.31 % (3941458)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2877194037:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 2.44/1.31 % (3941459)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=740067722:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 2.44/1.31 % (3941459)Also succeeded, but the first one will report.
% 2.44/1.31 % (3941461)lrs+10_64_to=lpo:sil=8000:random_seed=685566984:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 2.44/1.31 % (3941458)Instruction limit reached!
% 2.44/1.31 % (3941458)------------------------------
% 2.44/1.31 % (3941458)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.44/1.31 % (3941458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.44/1.31 % (3941458)CaDiCaL version: 2.1.3
% 2.44/1.31 % (3941458)Termination reason: Instruction limit
% 2.44/1.31 % (3941458)Termination phase: Saturation
% 2.44/1.31 % (3941458)Time elapsed: 0.097 s
% 2.44/1.31 % (3941458)Peak memory usage: 90 MB
% 2.44/1.31 % (3941458)Instructions burned: 191 (million)
% 2.44/1.31 % (3941461)Instruction limit reached!
% 2.44/1.31 % (3941461)------------------------------
% 2.44/1.31 % (3941461)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.44/1.31 % (3941461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.44/1.31 % (3941461)CaDiCaL version: 2.1.3
% 2.44/1.31 % (3941461)Termination reason: Instruction limit
% 2.44/1.31 % (3941461)Termination phase: Saturation
% 2.44/1.31 % (3941461)Time elapsed: 0.039 s
% 2.44/1.31 % (3941461)Peak memory usage: 89 MB
% 2.44/1.31 % (3941461)Instructions burned: 127 (million)
% 2.44/1.31 % (3941419)Refutation found. Thanks to Tanya!
% 2.44/1.31 % SZS status Unsatisfiable for theBenchmark
% 2.44/1.31 % SZS output start Proof for theBenchmark
% See solution above
% 4.69/1.52 % (3941419)------------------------------
% 4.69/1.52 % (3941419)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.69/1.52 % (3941419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.52 % (3941419)CaDiCaL version: 2.1.3
% 4.69/1.52 % (3941419)Termination reason: Refutation
% 4.69/1.52 % (3941419)Time elapsed: 0.069 s
% 4.69/1.52 % (3941419)Peak memory usage: 90 MB
% 4.69/1.52 % (3941419)Instructions burned: 81 (million)
% 4.69/1.52 % (3941419)------------------------------
% 4.69/1.52 % (3941419)------------------------------
% 4.69/1.52 % (3941308)Success in time 0.633 s
% 4.69/1.52 % Vampire exiting
%------------------------------------------------------------------------------