%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : LAT347+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 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 : Sun Sep 27 07:50:20 AM UTC 2026
% Result : Theorem 15.95s 2.73s
% Output : CNFRefutation 15.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 11
% Syntax : Number of formulae : 77 ( 25 unt; 0 def)
% Number of atoms : 277 ( 38 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 322 ( 122 ~; 127 |; 57 &)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 2 con; 0-2 aty)
% Number of variables : 41 ( 0 sgn 15 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cc2_lattice3,axiom,
! [A] :
( l1_orders_2(A)
=> ( v2_lattice3(A)
=> ~ v3_struct_0(A) ) ),
file('theBenchmark.p',cc2_lattice3) ).
fof(d24_waybel_0,axiom,
! [A] :
( ( l1_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) )
=> k9_waybel_0(A) = a_1_1_waybel_0(A) ),
file('theBenchmark.p',d24_waybel_0) ).
fof(dt_k7_lattice3,axiom,
! [A] :
( l1_orders_2(A)
=> ( l1_orders_2(k7_lattice3(A))
& v1_orders_2(k7_lattice3(A)) ) ),
file('theBenchmark.p',dt_k7_lattice3) ).
fof(fc10_yellow_7,axiom,
! [A] :
( ( l1_orders_2(A)
& v2_yellow_0(A) )
=> ( v1_yellow_0(k7_lattice3(A))
& v1_orders_2(k7_lattice3(A)) ) ),
file('theBenchmark.p',fc10_yellow_7) ).
fof(fc1_yellow_7,axiom,
! [A] :
( ( l1_orders_2(A)
& v2_orders_2(A) )
=> ( v2_orders_2(k7_lattice3(A))
& v1_orders_2(k7_lattice3(A)) ) ),
file('theBenchmark.p',fc1_yellow_7) ).
fof(fc2_yellow_7,axiom,
! [A] :
( ( l1_orders_2(A)
& v3_orders_2(A) )
=> ( v3_orders_2(k7_lattice3(A))
& v1_orders_2(k7_lattice3(A)) ) ),
file('theBenchmark.p',fc2_yellow_7) ).
fof(fc3_yellow_7,axiom,
! [A] :
( ( l1_orders_2(A)
& v4_orders_2(A) )
=> ( v4_orders_2(k7_lattice3(A))
& v1_orders_2(k7_lattice3(A)) ) ),
file('theBenchmark.p',fc3_yellow_7) ).
fof(fc5_yellow_7,axiom,
! [A] :
( ( l1_orders_2(A)
& v2_lattice3(A) )
=> ( v1_lattice3(k7_lattice3(A))
& v1_orders_2(k7_lattice3(A))
& ~ v3_struct_0(k7_lattice3(A)) ) ),
file('theBenchmark.p',fc5_yellow_7) ).
fof(t7_waybel16,axiom,
! [A] :
( ( l1_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) )
=> k9_waybel_0(A) = k8_waybel_0(k7_lattice3(A)) ),
file('theBenchmark.p',t7_waybel16) ).
fof(t9_waybel13,axiom,
! [A] :
( ( l1_orders_2(A)
& v1_yellow_0(A)
& v1_lattice3(A)
& v4_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A) )
=> ! [B] :
( ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(A)))))
& v1_waybel_0(B,k2_yellow_1(k8_waybel_0(A)))
& ~ v1_xboole_0(B) )
=> k1_yellow_0(k2_yellow_1(k8_waybel_0(A)),B) = k3_tarski(B) ) ),
file('theBenchmark.p',t9_waybel13) ).
fof(t1_waybel22,conjecture,
! [A] :
( ( l1_orders_2(A)
& v2_lattice3(A)
& v2_yellow_0(A)
& v4_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A) )
=> ! [B] :
( ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(A)))))
& v1_waybel_0(B,k2_yellow_1(k9_waybel_0(A)))
& ~ v1_xboole_0(B) )
=> k1_yellow_0(k2_yellow_1(k9_waybel_0(A)),B) = k3_tarski(B) ) ),
file('theBenchmark.p',t1_waybel22) ).
fof(t1_waybel22_neg,negated_conjecture,
~ ! [A] :
( ( l1_orders_2(A)
& v2_lattice3(A)
& v2_yellow_0(A)
& v4_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A) )
=> ! [B] :
( ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(A)))))
& v1_waybel_0(B,k2_yellow_1(k9_waybel_0(A)))
& ~ v1_xboole_0(B) )
=> k1_yellow_0(k2_yellow_1(k9_waybel_0(A)),B) = k3_tarski(B) ) ),
inference(assume_negation,[status(cth)],[t1_waybel22]) ).
cnf(c_113,plain,
( v1_yellow_0(k7_lattice3(A))
| ~ l1_orders_2(A)
| ~ v2_yellow_0(A) ),
inference(clausify,[status(thm)],[fc10_yellow_7]) ).
fof(nnf_106,plain,
? [A] :
( ? [B] :
( k3_tarski(B) != k1_yellow_0(k2_yellow_1(k9_waybel_0(A)),B)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(A)))))
& v1_waybel_0(B,k2_yellow_1(k9_waybel_0(A)))
& ~ v1_xboole_0(B) )
& l1_orders_2(A)
& v2_lattice3(A)
& v2_yellow_0(A)
& v4_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A) ),
inference(fof_nnf,[status(thm)],[t1_waybel22_neg]) ).
fof(sk_t1_waybel22_neg,plain,
( k3_tarski(sK1) != k1_yellow_0(k2_yellow_1(k9_waybel_0(sK0)),sK1)
& m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(sK0)))))
& v1_waybel_0(sK1,k2_yellow_1(k9_waybel_0(sK0)))
& ~ v1_xboole_0(sK1)
& l1_orders_2(sK0)
& v2_lattice3(sK0)
& v2_yellow_0(sK0)
& v4_orders_2(sK0)
& v3_orders_2(sK0)
& v2_orders_2(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(A,sK0),skolemize(B,sK1)],[nnf_106]) ).
cnf(c_129,negated_conjecture,
v2_yellow_0(sK0),
inference(split_conjunct,[status(thm)],[sk_t1_waybel22_neg]) ).
cnf(c_331,negated_conjecture,
( v1_yellow_0(k7_lattice3(sK0))
| ~ l1_orders_2(sK0) ),
inference(resolve,[status(thm)],[c_129,c_113]) ).
cnf(c_412,negated_conjecture,
k3_tarski(sK1) != k1_yellow_0(k2_yellow_1(k9_waybel_0(sK0)),sK1),
inference(split_conjunct,[status(thm)],[sk_t1_waybel22_neg]) ).
cnf(c_413,negated_conjecture,
k1_yellow_0(k2_yellow_1(k9_waybel_0(sK0)),sK1) != k3_tarski(sK1),
inference(copy,[status(thm)],[c_412]) ).
cnf(c_414,negated_conjecture,
m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(sK0))))),
inference(split_conjunct,[status(thm)],[sk_t1_waybel22_neg]) ).
cnf(c_415,negated_conjecture,
v1_waybel_0(sK1,k2_yellow_1(k9_waybel_0(sK0))),
inference(split_conjunct,[status(thm)],[sk_t1_waybel22_neg]) ).
cnf(c_416,negated_conjecture,
~ v1_xboole_0(sK1),
inference(split_conjunct,[status(thm)],[sk_t1_waybel22_neg]) ).
cnf(c_417,negated_conjecture,
l1_orders_2(sK0),
inference(split_conjunct,[status(thm)],[sk_t1_waybel22_neg]) ).
cnf(c_418,negated_conjecture,
v2_lattice3(sK0),
inference(split_conjunct,[status(thm)],[sk_t1_waybel22_neg]) ).
cnf(c_419,negated_conjecture,
v4_orders_2(sK0),
inference(split_conjunct,[status(thm)],[sk_t1_waybel22_neg]) ).
cnf(c_420,negated_conjecture,
v3_orders_2(sK0),
inference(split_conjunct,[status(thm)],[sk_t1_waybel22_neg]) ).
cnf(c_421,negated_conjecture,
v2_orders_2(sK0),
inference(split_conjunct,[status(thm)],[sk_t1_waybel22_neg]) ).
cnf(c_422,plain,
( k3_tarski(B) = k1_yellow_0(k2_yellow_1(k8_waybel_0(A)),B)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(A)))))
| ~ v1_waybel_0(B,k2_yellow_1(k8_waybel_0(A)))
| v1_xboole_0(B)
| ~ l1_orders_2(A)
| ~ v1_yellow_0(A)
| ~ v1_lattice3(A)
| ~ v4_orders_2(A)
| ~ v3_orders_2(A)
| ~ v2_orders_2(A) ),
inference(clausify,[status(thm)],[t9_waybel13]) ).
cnf(c_423,plain,
( k1_yellow_0(k2_yellow_1(k8_waybel_0(A)),B) = k3_tarski(B)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(A)))))
| ~ v1_waybel_0(B,k2_yellow_1(k8_waybel_0(A)))
| v1_xboole_0(B)
| ~ l1_orders_2(A)
| ~ v1_yellow_0(A)
| ~ v1_lattice3(A)
| ~ v4_orders_2(A)
| ~ v3_orders_2(A)
| ~ v2_orders_2(A) ),
inference(copy,[status(thm)],[c_422]) ).
cnf(c_425,plain,
( k8_waybel_0(k7_lattice3(A)) = k9_waybel_0(A)
| ~ l1_orders_2(A)
| ~ v3_orders_2(A)
| ~ v2_orders_2(A)
| v3_struct_0(A) ),
inference(clausify,[status(thm)],[t7_waybel16]) ).
cnf(c_426,plain,
( k9_waybel_0(A) = k8_waybel_0(k7_lattice3(A))
| ~ l1_orders_2(A)
| ~ v3_orders_2(A)
| ~ v2_orders_2(A)
| v3_struct_0(A) ),
inference(copy,[status(thm)],[c_425]) ).
cnf(c_527,plain,
( v1_lattice3(k7_lattice3(A))
| ~ l1_orders_2(A)
| ~ v2_lattice3(A) ),
inference(clausify,[status(thm)],[fc5_yellow_7]) ).
cnf(c_536,plain,
( v4_orders_2(k7_lattice3(A))
| ~ l1_orders_2(A)
| ~ v4_orders_2(A) ),
inference(clausify,[status(thm)],[fc3_yellow_7]) ).
cnf(c_537,plain,
( v3_orders_2(k7_lattice3(A))
| ~ l1_orders_2(A)
| ~ v3_orders_2(A) ),
inference(clausify,[status(thm)],[fc2_yellow_7]) ).
cnf(c_538,plain,
( v2_orders_2(k7_lattice3(A))
| ~ l1_orders_2(A)
| ~ v2_orders_2(A) ),
inference(clausify,[status(thm)],[fc1_yellow_7]) ).
cnf(c_545,plain,
( l1_orders_2(k7_lattice3(A))
| ~ l1_orders_2(A) ),
inference(clausify,[status(thm)],[dt_k7_lattice3]) ).
cnf(c_552,plain,
( a_1_1_waybel_0(A) = k9_waybel_0(A)
| ~ l1_orders_2(A)
| ~ v3_orders_2(A)
| ~ v2_orders_2(A)
| v3_struct_0(A) ),
inference(clausify,[status(thm)],[d24_waybel_0]) ).
cnf(c_553,plain,
( k9_waybel_0(A) = a_1_1_waybel_0(A)
| ~ l1_orders_2(A)
| ~ v3_orders_2(A)
| ~ v2_orders_2(A)
| v3_struct_0(A) ),
inference(copy,[status(thm)],[c_552]) ).
cnf(c_557,plain,
( ~ v3_struct_0(A)
| ~ v2_lattice3(A)
| ~ l1_orders_2(A) ),
inference(clausify,[status(thm)],[cc2_lattice3]) ).
cnf(c_621,negated_conjecture,
v1_yellow_0(k7_lattice3(sK0)),
inference(resolve,[status(thm)],[c_417,c_331]) ).
cnf(c_7486,negated_conjecture,
( k9_waybel_0(sK0) = k8_waybel_0(k7_lattice3(sK0))
| ~ l1_orders_2(sK0)
| ~ v3_orders_2(sK0)
| v3_struct_0(sK0) ),
inference(resolve,[status(thm)],[c_426,c_421]) ).
cnf(c_7487,negated_conjecture,
( k9_waybel_0(sK0) = k8_waybel_0(k7_lattice3(sK0))
| ~ l1_orders_2(sK0)
| v3_struct_0(sK0) ),
inference(resolve,[status(thm)],[c_420,c_7486]) ).
cnf(c_687,negated_conjecture,
( k9_waybel_0(sK0) = k8_waybel_0(k7_lattice3(sK0))
| v3_struct_0(sK0) ),
inference(resolve,[status(thm)],[c_417,c_7487]) ).
cnf(c_7488,negated_conjecture,
( v1_lattice3(k7_lattice3(sK0))
| ~ l1_orders_2(sK0) ),
inference(resolve,[status(thm)],[c_527,c_418]) ).
cnf(c_1142,negated_conjecture,
v1_lattice3(k7_lattice3(sK0)),
inference(resolve,[status(thm)],[c_417,c_7488]) ).
cnf(c_7489,negated_conjecture,
( v4_orders_2(k7_lattice3(sK0))
| ~ l1_orders_2(sK0) ),
inference(resolve,[status(thm)],[c_536,c_419]) ).
cnf(c_1152,negated_conjecture,
v4_orders_2(k7_lattice3(sK0)),
inference(resolve,[status(thm)],[c_417,c_7489]) ).
cnf(c_7490,negated_conjecture,
( v3_orders_2(k7_lattice3(sK0))
| ~ l1_orders_2(sK0) ),
inference(resolve,[status(thm)],[c_537,c_420]) ).
cnf(c_1217,negated_conjecture,
v3_orders_2(k7_lattice3(sK0)),
inference(resolve,[status(thm)],[c_417,c_7490]) ).
cnf(c_7491,negated_conjecture,
( v2_orders_2(k7_lattice3(sK0))
| ~ l1_orders_2(sK0) ),
inference(resolve,[status(thm)],[c_538,c_421]) ).
cnf(c_1282,negated_conjecture,
v2_orders_2(k7_lattice3(sK0)),
inference(resolve,[status(thm)],[c_417,c_7491]) ).
cnf(c_1462,plain,
l1_orders_2(k7_lattice3(sK0)),
inference(resolve,[status(thm)],[c_545,c_417]) ).
cnf(c_7492,negated_conjecture,
( k9_waybel_0(sK0) = a_1_1_waybel_0(sK0)
| ~ l1_orders_2(sK0)
| ~ v3_orders_2(sK0)
| v3_struct_0(sK0) ),
inference(resolve,[status(thm)],[c_553,c_421]) ).
cnf(c_7493,negated_conjecture,
( k9_waybel_0(sK0) = a_1_1_waybel_0(sK0)
| ~ l1_orders_2(sK0)
| v3_struct_0(sK0) ),
inference(resolve,[status(thm)],[c_420,c_7492]) ).
cnf(c_1669,negated_conjecture,
( k9_waybel_0(sK0) = a_1_1_waybel_0(sK0)
| v3_struct_0(sK0) ),
inference(resolve,[status(thm)],[c_417,c_7493]) ).
cnf(c_7494,negated_conjecture,
( ~ v3_struct_0(sK0)
| ~ v2_lattice3(sK0) ),
inference(resolve,[status(thm)],[c_557,c_417]) ).
cnf(c_1728,negated_conjecture,
~ v3_struct_0(sK0),
inference(resolve,[status(thm)],[c_418,c_7494]) ).
cnf(c_1730,negated_conjecture,
k9_waybel_0(sK0) = a_1_1_waybel_0(sK0),
inference(resolve,[status(thm)],[c_1728,c_1669]) ).
cnf(c_7495,negated_conjecture,
( a_1_1_waybel_0(sK0) = k8_waybel_0(k7_lattice3(sK0))
| v3_struct_0(sK0) ),
inference(paramod,[status(thm)],[c_1730,c_687]) ).
cnf(c_7496,negated_conjecture,
( k8_waybel_0(k7_lattice3(sK0)) = a_1_1_waybel_0(sK0)
| v3_struct_0(sK0) ),
inference(copy,[status(thm)],[c_7495]) ).
cnf(c_1764,negated_conjecture,
k8_waybel_0(k7_lattice3(sK0)) = a_1_1_waybel_0(sK0),
inference(resolve,[status(thm)],[c_1728,c_7496]) ).
cnf(c_1785,negated_conjecture,
v1_waybel_0(sK1,k2_yellow_1(a_1_1_waybel_0(sK0))),
inference(paramod,[status(thm)],[c_1730,c_415]) ).
cnf(c_1786,negated_conjecture,
m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(a_1_1_waybel_0(sK0))))),
inference(paramod,[status(thm)],[c_1730,c_414]) ).
cnf(c_1787,negated_conjecture,
k1_yellow_0(k2_yellow_1(a_1_1_waybel_0(sK0)),sK1) != k3_tarski(sK1),
inference(paramod,[status(thm)],[c_1730,c_413]) ).
cnf(c_7497,negated_conjecture,
( k1_yellow_0(k2_yellow_1(k8_waybel_0(k7_lattice3(sK0))),A) = k3_tarski(A)
| ~ m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(k7_lattice3(sK0))))))
| ~ v1_waybel_0(A,k2_yellow_1(k8_waybel_0(k7_lattice3(sK0))))
| v1_xboole_0(A)
| ~ l1_orders_2(k7_lattice3(sK0))
| ~ v1_lattice3(k7_lattice3(sK0))
| ~ v4_orders_2(k7_lattice3(sK0))
| ~ v3_orders_2(k7_lattice3(sK0))
| ~ v2_orders_2(k7_lattice3(sK0)) ),
inference(resolve,[status(thm)],[c_621,c_423]) ).
cnf(c_7498,negated_conjecture,
( k1_yellow_0(k2_yellow_1(k8_waybel_0(k7_lattice3(sK0))),A) = k3_tarski(A)
| ~ m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(k7_lattice3(sK0))))))
| ~ v1_waybel_0(A,k2_yellow_1(a_1_1_waybel_0(sK0)))
| v1_xboole_0(A)
| ~ l1_orders_2(k7_lattice3(sK0))
| ~ v1_lattice3(k7_lattice3(sK0))
| ~ v4_orders_2(k7_lattice3(sK0))
| ~ v3_orders_2(k7_lattice3(sK0))
| ~ v2_orders_2(k7_lattice3(sK0)) ),
inference(paramod,[status(thm)],[c_1764,c_7497]) ).
cnf(c_7499,negated_conjecture,
( k1_yellow_0(k2_yellow_1(k8_waybel_0(k7_lattice3(sK0))),A) = k3_tarski(A)
| ~ m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k2_yellow_1(a_1_1_waybel_0(sK0)))))
| ~ v1_waybel_0(A,k2_yellow_1(a_1_1_waybel_0(sK0)))
| v1_xboole_0(A)
| ~ l1_orders_2(k7_lattice3(sK0))
| ~ v1_lattice3(k7_lattice3(sK0))
| ~ v4_orders_2(k7_lattice3(sK0))
| ~ v3_orders_2(k7_lattice3(sK0))
| ~ v2_orders_2(k7_lattice3(sK0)) ),
inference(paramod,[status(thm)],[c_1764,c_7498]) ).
cnf(c_7500,negated_conjecture,
( k1_yellow_0(k2_yellow_1(a_1_1_waybel_0(sK0)),A) = k3_tarski(A)
| ~ m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k2_yellow_1(a_1_1_waybel_0(sK0)))))
| ~ v1_waybel_0(A,k2_yellow_1(a_1_1_waybel_0(sK0)))
| v1_xboole_0(A)
| ~ l1_orders_2(k7_lattice3(sK0))
| ~ v1_lattice3(k7_lattice3(sK0))
| ~ v4_orders_2(k7_lattice3(sK0))
| ~ v3_orders_2(k7_lattice3(sK0))
| ~ v2_orders_2(k7_lattice3(sK0)) ),
inference(paramod,[status(thm)],[c_1764,c_7499]) ).
cnf(c_7501,negated_conjecture,
( k1_yellow_0(k2_yellow_1(a_1_1_waybel_0(sK0)),A) = k3_tarski(A)
| ~ m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k2_yellow_1(a_1_1_waybel_0(sK0)))))
| ~ v1_waybel_0(A,k2_yellow_1(a_1_1_waybel_0(sK0)))
| v1_xboole_0(A)
| ~ l1_orders_2(k7_lattice3(sK0))
| ~ v1_lattice3(k7_lattice3(sK0))
| ~ v4_orders_2(k7_lattice3(sK0))
| ~ v3_orders_2(k7_lattice3(sK0)) ),
inference(resolve,[status(thm)],[c_1282,c_7500]) ).
cnf(c_7502,negated_conjecture,
( k1_yellow_0(k2_yellow_1(a_1_1_waybel_0(sK0)),A) = k3_tarski(A)
| ~ m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k2_yellow_1(a_1_1_waybel_0(sK0)))))
| ~ v1_waybel_0(A,k2_yellow_1(a_1_1_waybel_0(sK0)))
| v1_xboole_0(A)
| ~ l1_orders_2(k7_lattice3(sK0))
| ~ v1_lattice3(k7_lattice3(sK0))
| ~ v4_orders_2(k7_lattice3(sK0)) ),
inference(resolve,[status(thm)],[c_1217,c_7501]) ).
cnf(c_7503,negated_conjecture,
( k1_yellow_0(k2_yellow_1(a_1_1_waybel_0(sK0)),A) = k3_tarski(A)
| ~ m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k2_yellow_1(a_1_1_waybel_0(sK0)))))
| ~ v1_waybel_0(A,k2_yellow_1(a_1_1_waybel_0(sK0)))
| v1_xboole_0(A)
| ~ l1_orders_2(k7_lattice3(sK0))
| ~ v1_lattice3(k7_lattice3(sK0)) ),
inference(resolve,[status(thm)],[c_1152,c_7502]) ).
cnf(c_7504,negated_conjecture,
( k1_yellow_0(k2_yellow_1(a_1_1_waybel_0(sK0)),A) = k3_tarski(A)
| ~ m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k2_yellow_1(a_1_1_waybel_0(sK0)))))
| ~ v1_waybel_0(A,k2_yellow_1(a_1_1_waybel_0(sK0)))
| v1_xboole_0(A)
| ~ l1_orders_2(k7_lattice3(sK0)) ),
inference(resolve,[status(thm)],[c_1142,c_7503]) ).
cnf(c_1943,negated_conjecture,
( k1_yellow_0(k2_yellow_1(a_1_1_waybel_0(sK0)),A) = k3_tarski(A)
| ~ m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k2_yellow_1(a_1_1_waybel_0(sK0)))))
| ~ v1_waybel_0(A,k2_yellow_1(a_1_1_waybel_0(sK0)))
| v1_xboole_0(A) ),
inference(resolve,[status(thm)],[c_1462,c_7504]) ).
cnf(c_7505,negated_conjecture,
( k1_yellow_0(k2_yellow_1(a_1_1_waybel_0(sK0)),sK1) = k3_tarski(sK1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(a_1_1_waybel_0(sK0)))))
| v1_xboole_0(sK1) ),
inference(resolve,[status(thm)],[c_1943,c_1785]) ).
cnf(c_7506,negated_conjecture,
( k1_yellow_0(k2_yellow_1(a_1_1_waybel_0(sK0)),sK1) = k3_tarski(sK1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(a_1_1_waybel_0(sK0))))) ),
inference(resolve,[status(thm)],[c_416,c_7505]) ).
cnf(c_7507,negated_conjecture,
k1_yellow_0(k2_yellow_1(a_1_1_waybel_0(sK0)),sK1) = k3_tarski(sK1),
inference(resolve,[status(thm)],[c_1786,c_7506]) ).
cnf(c_7485,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_1787,c_7507]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT347+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 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 : Fri Sep 25 21:06:53 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.11/0.37 % Process 1896422 was started by sandbox2 on n007,
% 0.11/0.37 % Fri Sep 25 21:06:53 2026
% 0.11/0.37 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.11/0.40
% 0.11/0.40 % From the command line: assign(max_seconds, 300).
% 15.95/2.73
% 15.95/2.73 % given #500 (F,wt=19): 2586 -v1_xboole_0(f6(k7_lattice3(c10))). [resolve(1216,a,500,c),unit_del(a,1131),unit_del(b,1281),unit_del(c,1461)].
% 15.95/2.73
% 15.95/2.73 % given #1000 (W,wt=19): 2882 v1_yellow_0(k7_lattice3(c1)) | v3_struct_0(k7_lattice3(c1)) | -v3_lattice3(k7_lattice3(c1)). [resolve(1457,a,329,a)].
% 15.95/2.73
% 15.95/2.73 % given #1500 (F,wt=45): 4398 -v3_struct_0(k2_yellow_1(a_1_1_waybel_0(g1_orders_2(u1_struct_0(c13),u1_orders_2(c13))))) | -v1_lattice3(g1_orders_2(u1_struct_0(c13),u1_orders_2(c13))) | -v24_waybel_0(g1_orders_2(u1_struct_0(c13),u1_orders_2(c13))). [resolve(1138,a,407,b),rewrite([4379(30)]),unit_del(a,1743),unit_del(b,1127),unit_del(c,1073),unit_del(d,2027)].
% 15.95/2.73
% 15.95/2.73 % SZS status Theorem for theBenchmark
% 15.95/2.73
% 15.95/2.73 % Proof 1 at 1.89 (+ 0.39) seconds.
% 15.95/2.73 % Length of proof is 52.
% 15.95/2.73 % Level of proof is 7.
% 15.95/2.73 % Maximum clause weight is 59.000.
% 15.95/2.73 % Given clauses 1843.
% 15.95/2.73
% 15.95/2.73 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------