%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : TOP023+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.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 : Thu Sep 24 03:53:24 PM UTC 2026
% Result : Theorem 2.08s 0.72s
% Output : CNFRefutation 2.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 5
% Syntax : Number of formulae : 87 ( 15 unt; 0 def)
% Number of atoms : 393 ( 77 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 531 ( 225 ~; 247 |; 35 &)
% ( 2 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 112 ( 107 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [A] :
( l1_pre_topc(A)
=> ! [B] :
( l1_pre_topc(B)
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
=> ! [D] :
( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))
=> ( ( v1_tsp_2(C,A)
& C = D
& g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) )
=> v1_tsp_2(D,B) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ! [A] :
( l1_pre_topc(A)
=> ! [B] :
( l1_pre_topc(B)
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
=> ! [D] :
( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))
=> ( ( v1_tsp_2(C,A)
& C = D
& g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) )
=> v1_tsp_2(D,B) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f21,axiom,
! [A] :
( l1_pre_topc(A)
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
=> ( v1_tsp_2(B,A)
<=> ( ! [C] :
( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
=> ( ( r1_tarski(B,C)
& v1_tsp_1(C,A) )
=> B = C ) )
& v1_tsp_1(B,A) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
! [A] :
( l1_pre_topc(A)
=> m1_subset_1(u1_pre_topc(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,axiom,
! [A,B] :
( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))
=> ! [C,D] :
( g1_pre_topc(A,B) = g1_pre_topc(C,D)
=> ( B = D
& A = C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f47,axiom,
! [A] :
( l1_pre_topc(A)
=> ! [B] :
( l1_pre_topc(B)
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
=> ! [D] :
( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))
=> ( ( v1_tsp_1(C,A)
& C = D
& g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) )
=> v1_tsp_1(D,B) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f51,plain,
? [A] :
( ? [B] :
( ? [C] :
( ? [D] :
( ~ v1_tsp_2(D,B)
& v1_tsp_2(C,A)
& C = D
& g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B))
& m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) )
& m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) )
& l1_pre_topc(B) )
& l1_pre_topc(A) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f52,plain,
( ~ v1_tsp_2(sK3_skl,sK1_skl)
& v1_tsp_2(sK2_skl,sK0_skl)
& sK2_skl = sK3_skl
& g1_pre_topc(u1_struct_0(sK0_skl),u1_pre_topc(sK0_skl)) = g1_pre_topc(u1_struct_0(sK1_skl),u1_pre_topc(sK1_skl))
& m1_subset_1(sK3_skl,k1_zfmisc_1(u1_struct_0(sK1_skl)))
& m1_subset_1(sK2_skl,k1_zfmisc_1(u1_struct_0(sK0_skl)))
& l1_pre_topc(sK1_skl)
& l1_pre_topc(sK0_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl]),skolemize(A,sK0_skl),skolemize(B,sK1_skl),skolemize(C,sK2_skl),skolemize(D,sK3_skl)],[f51]) ).
fof(f53,plain,
l1_pre_topc(sK0_skl),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f54,plain,
l1_pre_topc(sK1_skl),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f55,plain,
m1_subset_1(sK2_skl,k1_zfmisc_1(u1_struct_0(sK0_skl))),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f57,plain,
g1_pre_topc(u1_struct_0(sK0_skl),u1_pre_topc(sK0_skl)) = g1_pre_topc(u1_struct_0(sK1_skl),u1_pre_topc(sK1_skl)),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f58,plain,
sK2_skl = sK3_skl,
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f59,plain,
v1_tsp_2(sK2_skl,sK0_skl),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f60,plain,
~ v1_tsp_2(sK3_skl,sK1_skl),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f121,plain,
! [A] :
( ! [B] :
( ( v1_tsp_2(B,A)
<=> ( ! [C] :
( B = C
| ~ r1_tarski(B,C)
| ~ v1_tsp_1(C,A)
| ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) )
& v1_tsp_1(B,A) ) )
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
| ~ l1_pre_topc(A) ),
inference(pre_NNF_transformation,[status(thm)],[f21]) ).
fof(f122,plain,
! [A] :
( ! [B] :
( ( ( ? [C] :
( B != C
& r1_tarski(B,C)
& v1_tsp_1(C,A)
& m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) )
| ~ v1_tsp_1(B,A)
| v1_tsp_2(B,A) )
& ( ( ! [C] :
( B = C
| ~ r1_tarski(B,C)
| ~ v1_tsp_1(C,A)
| ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) )
& v1_tsp_1(B,A) )
| ~ v1_tsp_2(B,A) ) )
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
| ~ l1_pre_topc(A) ),
inference(NNF_transformation,[status(thm)],[f121]) ).
fof(f123,plain,
! [A] :
( ! [B] :
( ( ( ( B != sK4_skl(B,A)
& r1_tarski(B,sK4_skl(B,A))
& v1_tsp_1(sK4_skl(B,A),A)
& m1_subset_1(sK4_skl(B,A),k1_zfmisc_1(u1_struct_0(A))) )
| ~ v1_tsp_1(B,A)
| v1_tsp_2(B,A) )
& ( ( ! [C] :
( B = C
| ~ r1_tarski(B,C)
| ~ v1_tsp_1(C,A)
| ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) )
& v1_tsp_1(B,A) )
| ~ v1_tsp_2(B,A) ) )
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
| ~ l1_pre_topc(A) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl]),skolemize(C,sK4_skl(B,A))],[f122]) ).
fof(f124,plain,
! [X0,X1] :
( v1_tsp_1(X1,X0)
| ~ v1_tsp_2(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[status(thm)],[f123]) ).
fof(f125,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ r1_tarski(X1,X2)
| ~ v1_tsp_1(X2,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_tsp_2(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[status(thm)],[f123]) ).
fof(f126,plain,
! [X0,X1] :
( m1_subset_1(sK4_skl(X1,X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_tsp_1(X1,X0)
| v1_tsp_2(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[status(thm)],[f123]) ).
fof(f127,plain,
! [X0,X1] :
( v1_tsp_1(sK4_skl(X1,X0),X0)
| ~ v1_tsp_1(X1,X0)
| v1_tsp_2(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[status(thm)],[f123]) ).
fof(f128,plain,
! [X0,X1] :
( r1_tarski(X1,sK4_skl(X1,X0))
| ~ v1_tsp_1(X1,X0)
| v1_tsp_2(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[status(thm)],[f123]) ).
fof(f129,plain,
! [X0,X1] :
( X1 != sK4_skl(X1,X0)
| ~ v1_tsp_1(X1,X0)
| v1_tsp_2(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[status(thm)],[f123]) ).
fof(f135,plain,
! [A] :
( m1_subset_1(u1_pre_topc(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))
| ~ l1_pre_topc(A) ),
inference(pre_NNF_transformation,[status(thm)],[f28]) ).
fof(f136,plain,
! [X0] :
( m1_subset_1(u1_pre_topc(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[status(thm)],[f135]) ).
fof(f150,plain,
! [A,B] :
( ! [C,D] :
( ( B = D
& A = C )
| g1_pre_topc(A,B) != g1_pre_topc(C,D) )
| ~ m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ),
inference(pre_NNF_transformation,[status(thm)],[f35]) ).
fof(f151,plain,
! [X0,X1,X2,X3] :
( X1 = X2
| g1_pre_topc(X1,X0) != g1_pre_topc(X2,X3)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
inference(cnf_transformation,[status(thm)],[f150]) ).
fof(f152,plain,
! [X0,X1,X2,X3] :
( X0 = X3
| g1_pre_topc(X1,X0) != g1_pre_topc(X2,X3)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
inference(cnf_transformation,[status(thm)],[f150]) ).
fof(f196,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( v1_tsp_1(D,B)
| ~ v1_tsp_1(C,A)
| C != D
| g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) != g1_pre_topc(u1_struct_0(B),u1_pre_topc(B))
| ~ m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) )
| ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) )
| ~ l1_pre_topc(B) )
| ~ l1_pre_topc(A) ),
inference(pre_NNF_transformation,[status(thm)],[f47]) ).
fof(f197,plain,
! [X0,X1,X2,X3] :
( v1_tsp_1(X3,X1)
| ~ v1_tsp_1(X2,X0)
| X2 != X3
| g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) != g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X1)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[status(thm)],[f196]) ).
fof(f207,plain,
~ v1_tsp_2(sK2_skl,sK1_skl),
inference(forward_demodulation,[status(thm)],[f58,f60]) ).
fof(f208,plain,
! [X0,X1,X2] :
( v1_tsp_1(X2,X1)
| ~ v1_tsp_1(X2,X0)
| g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) != g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X1)
| ~ l1_pre_topc(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f197]) ).
fof(f212,plain,
! [X0,X1,X2] :
( ~ l1_pre_topc(X0)
| u1_struct_0(X0) = X1
| g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) != g1_pre_topc(X1,X2) ),
inference(resolution,[status(thm)],[f151,f136]) ).
fof(f213,plain,
! [X0,X1,X2] :
( ~ l1_pre_topc(X0)
| u1_pre_topc(X0) = X2
| g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) != g1_pre_topc(X1,X2) ),
inference(resolution,[status(thm)],[f152,f136]) ).
fof(f214,plain,
( v1_tsp_1(sK2_skl,sK0_skl)
| ~ m1_subset_1(sK2_skl,k1_zfmisc_1(u1_struct_0(sK0_skl)))
| ~ l1_pre_topc(sK0_skl) ),
inference(resolution,[status(thm)],[f124,f59]) ).
fof(f215,plain,
( v1_tsp_1(sK2_skl,sK0_skl)
| ~ m1_subset_1(sK2_skl,k1_zfmisc_1(u1_struct_0(sK0_skl))) ),
inference(forward_subsumption_resolution,[status(thm)],[f214,f53]) ).
fof(f216,plain,
v1_tsp_1(sK2_skl,sK0_skl),
inference(resolution,[status(thm)],[f215,f55]) ).
fof(f219,plain,
! [X0,X1] :
( u1_struct_0(sK1_skl) = X0
| g1_pre_topc(u1_struct_0(sK1_skl),u1_pre_topc(sK1_skl)) != g1_pre_topc(X0,X1) ),
inference(resolution,[status(thm)],[f212,f54]) ).
fof(f221,plain,
! [X0,X1] :
( u1_struct_0(sK1_skl) = X0
| g1_pre_topc(u1_struct_0(sK0_skl),u1_pre_topc(sK0_skl)) != g1_pre_topc(X0,X1) ),
inference(forward_demodulation,[status(thm)],[f57,f219]) ).
fof(f224,plain,
! [X0,X1] :
( u1_pre_topc(sK1_skl) = X1
| g1_pre_topc(u1_struct_0(sK1_skl),u1_pre_topc(sK1_skl)) != g1_pre_topc(X0,X1) ),
inference(resolution,[status(thm)],[f213,f54]) ).
fof(f226,plain,
! [X0,X1] :
( u1_pre_topc(sK1_skl) = X1
| g1_pre_topc(u1_struct_0(sK0_skl),u1_pre_topc(sK0_skl)) != g1_pre_topc(X0,X1) ),
inference(forward_demodulation,[status(thm)],[f57,f224]) ).
fof(f227,plain,
! [X0] :
( v1_tsp_1(sK2_skl,X0)
| g1_pre_topc(u1_struct_0(sK0_skl),u1_pre_topc(sK0_skl)) != g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0))
| ~ m1_subset_1(sK2_skl,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(sK2_skl,k1_zfmisc_1(u1_struct_0(sK0_skl)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK0_skl) ),
inference(resolution,[status(thm)],[f208,f216]) ).
fof(f228,plain,
! [X0] :
( v1_tsp_1(sK2_skl,X0)
| g1_pre_topc(u1_struct_0(sK0_skl),u1_pre_topc(sK0_skl)) != g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0))
| ~ m1_subset_1(sK2_skl,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(sK2_skl,k1_zfmisc_1(u1_struct_0(sK0_skl)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f227,f53]) ).
fof(f254,plain,
u1_struct_0(sK1_skl) = u1_struct_0(sK0_skl),
inference(equality_resolution,[status(thm)],[f221]) ).
fof(f269,plain,
u1_pre_topc(sK1_skl) = u1_pre_topc(sK0_skl),
inference(equality_resolution,[status(thm)],[f226]) ).
fof(f303,plain,
! [X0] :
( v1_tsp_1(sK2_skl,X0)
| g1_pre_topc(u1_struct_0(sK0_skl),u1_pre_topc(sK0_skl)) != g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0))
| ~ m1_subset_1(sK2_skl,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(resolution,[status(thm)],[f228,f55]) ).
fof(f305,plain,
( v1_tsp_1(sK2_skl,sK1_skl)
| g1_pre_topc(u1_struct_0(sK0_skl),u1_pre_topc(sK0_skl)) != g1_pre_topc(u1_struct_0(sK1_skl),u1_pre_topc(sK1_skl))
| ~ m1_subset_1(sK2_skl,k1_zfmisc_1(u1_struct_0(sK0_skl)))
| ~ l1_pre_topc(sK1_skl) ),
inference(paramodulation,[status(thm)],[f254,f303]) ).
fof(f307,plain,
( v1_tsp_1(sK2_skl,sK1_skl)
| g1_pre_topc(u1_struct_0(sK0_skl),u1_pre_topc(sK0_skl)) != g1_pre_topc(u1_struct_0(sK0_skl),u1_pre_topc(sK1_skl))
| ~ m1_subset_1(sK2_skl,k1_zfmisc_1(u1_struct_0(sK0_skl)))
| ~ l1_pre_topc(sK1_skl) ),
inference(forward_demodulation,[status(thm)],[f254,f305]) ).
fof(f308,plain,
( v1_tsp_1(sK2_skl,sK1_skl)
| g1_pre_topc(u1_struct_0(sK0_skl),u1_pre_topc(sK0_skl)) != g1_pre_topc(u1_struct_0(sK0_skl),u1_pre_topc(sK0_skl))
| ~ m1_subset_1(sK2_skl,k1_zfmisc_1(u1_struct_0(sK0_skl)))
| ~ l1_pre_topc(sK1_skl) ),
inference(forward_demodulation,[status(thm)],[f269,f307]) ).
fof(f309,plain,
( v1_tsp_1(sK2_skl,sK1_skl)
| ~ m1_subset_1(sK2_skl,k1_zfmisc_1(u1_struct_0(sK0_skl)))
| ~ l1_pre_topc(sK1_skl) ),
inference(trivial_equality_resolution,[status(thm)],[f308]) ).
fof(f310,plain,
( v1_tsp_1(sK2_skl,sK1_skl)
| ~ m1_subset_1(sK2_skl,k1_zfmisc_1(u1_struct_0(sK0_skl))) ),
inference(forward_subsumption_resolution,[status(thm)],[f309,f54]) ).
fof(f372,plain,
v1_tsp_1(sK2_skl,sK1_skl),
inference(resolution,[status(thm)],[f310,f55]) ).
fof(f1827,plain,
! [X0] :
( sK2_skl = X0
| ~ r1_tarski(sK2_skl,X0)
| ~ v1_tsp_1(X0,sK0_skl)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0_skl)))
| ~ m1_subset_1(sK2_skl,k1_zfmisc_1(u1_struct_0(sK0_skl)))
| ~ l1_pre_topc(sK0_skl) ),
inference(resolution,[status(thm)],[f125,f59]) ).
fof(f1828,plain,
! [X0] :
( sK2_skl = X0
| ~ r1_tarski(sK2_skl,X0)
| ~ v1_tsp_1(X0,sK0_skl)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0_skl)))
| ~ m1_subset_1(sK2_skl,k1_zfmisc_1(u1_struct_0(sK0_skl))) ),
inference(forward_subsumption_resolution,[status(thm)],[f1827,f53]) ).
fof(f1830,plain,
! [X0] :
( m1_subset_1(sK4_skl(X0,sK1_skl),k1_zfmisc_1(u1_struct_0(sK0_skl)))
| ~ v1_tsp_1(X0,sK1_skl)
| v1_tsp_2(X0,sK1_skl)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1_skl)))
| ~ l1_pre_topc(sK1_skl) ),
inference(paramodulation,[status(thm)],[f254,f126]) ).
fof(f1831,plain,
! [X0] :
( m1_subset_1(sK4_skl(X0,sK1_skl),k1_zfmisc_1(u1_struct_0(sK0_skl)))
| ~ v1_tsp_1(X0,sK1_skl)
| v1_tsp_2(X0,sK1_skl)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0_skl)))
| ~ l1_pre_topc(sK1_skl) ),
inference(forward_demodulation,[status(thm)],[f254,f1830]) ).
fof(f1832,plain,
! [X0] :
( m1_subset_1(sK4_skl(X0,sK1_skl),k1_zfmisc_1(u1_struct_0(sK0_skl)))
| ~ v1_tsp_1(X0,sK1_skl)
| v1_tsp_2(X0,sK1_skl)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0_skl))) ),
inference(forward_subsumption_resolution,[status(thm)],[f1831,f54]) ).
fof(f1833,plain,
! [X0] :
( sK2_skl = X0
| ~ r1_tarski(sK2_skl,X0)
| ~ v1_tsp_1(X0,sK0_skl)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0_skl))) ),
inference(resolution,[status(thm)],[f1828,f55]) ).
fof(f2269,plain,
! [X0,X1,X2] :
( v1_tsp_1(sK4_skl(X1,X0),X2)
| g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) != g1_pre_topc(u1_struct_0(X2),u1_pre_topc(X2))
| ~ m1_subset_1(sK4_skl(X1,X0),k1_zfmisc_1(u1_struct_0(X2)))
| ~ m1_subset_1(sK4_skl(X1,X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X2)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(X1,X0)
| v1_tsp_2(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(resolution,[status(thm)],[f127,f208]) ).
fof(f2271,plain,
! [X0,X1,X2] :
( v1_tsp_1(sK4_skl(X1,X0),X2)
| g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) != g1_pre_topc(u1_struct_0(X2),u1_pre_topc(X2))
| ~ m1_subset_1(sK4_skl(X1,X0),k1_zfmisc_1(u1_struct_0(X2)))
| ~ m1_subset_1(sK4_skl(X1,X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X2)
| ~ v1_tsp_1(X1,X0)
| v1_tsp_2(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f2269]) ).
fof(f2272,plain,
! [X0,X1,X2] :
( v1_tsp_1(sK4_skl(X1,X0),X2)
| g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) != g1_pre_topc(u1_struct_0(X2),u1_pre_topc(X2))
| ~ m1_subset_1(sK4_skl(X1,X0),k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_pre_topc(X2)
| ~ v1_tsp_1(X1,X0)
| v1_tsp_2(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2271,f126]) ).
fof(f2275,plain,
( sK2_skl != sK4_skl(sK2_skl,sK1_skl)
| v1_tsp_2(sK2_skl,sK1_skl)
| ~ m1_subset_1(sK2_skl,k1_zfmisc_1(u1_struct_0(sK1_skl)))
| ~ l1_pre_topc(sK1_skl) ),
inference(resolution,[status(thm)],[f129,f372]) ).
fof(f2279,plain,
( sK2_skl != sK4_skl(sK2_skl,sK1_skl)
| v1_tsp_2(sK2_skl,sK1_skl)
| ~ m1_subset_1(sK2_skl,k1_zfmisc_1(u1_struct_0(sK0_skl)))
| ~ l1_pre_topc(sK1_skl) ),
inference(forward_demodulation,[status(thm)],[f254,f2275]) ).
fof(f2280,plain,
( sK2_skl != sK4_skl(sK2_skl,sK1_skl)
| v1_tsp_2(sK2_skl,sK1_skl)
| ~ m1_subset_1(sK2_skl,k1_zfmisc_1(u1_struct_0(sK0_skl))) ),
inference(forward_subsumption_resolution,[status(thm)],[f2279,f54]) ).
fof(f2281,plain,
( sK2_skl != sK4_skl(sK2_skl,sK1_skl)
| v1_tsp_2(sK2_skl,sK1_skl) ),
inference(resolution,[status(thm)],[f2280,f55]) ).
fof(f2282,plain,
sK2_skl != sK4_skl(sK2_skl,sK1_skl),
inference(forward_subsumption_resolution,[status(thm)],[f2281,f207]) ).
fof(f2285,plain,
! [X0] :
( ~ v1_tsp_1(X0,sK1_skl)
| v1_tsp_2(X0,sK1_skl)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0_skl)))
| v1_tsp_1(sK4_skl(X0,sK1_skl),sK0_skl)
| g1_pre_topc(u1_struct_0(sK1_skl),u1_pre_topc(sK1_skl)) != g1_pre_topc(u1_struct_0(sK0_skl),u1_pre_topc(sK0_skl))
| ~ l1_pre_topc(sK0_skl)
| ~ v1_tsp_1(X0,sK1_skl)
| v1_tsp_2(X0,sK1_skl)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1_skl)))
| ~ l1_pre_topc(sK1_skl) ),
inference(resolution,[status(thm)],[f2272,f1832]) ).
fof(f2288,plain,
! [X0] :
( ~ v1_tsp_1(X0,sK1_skl)
| v1_tsp_2(X0,sK1_skl)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0_skl)))
| v1_tsp_1(sK4_skl(X0,sK1_skl),sK0_skl)
| g1_pre_topc(u1_struct_0(sK1_skl),u1_pre_topc(sK1_skl)) != g1_pre_topc(u1_struct_0(sK0_skl),u1_pre_topc(sK0_skl))
| ~ l1_pre_topc(sK0_skl)
| ~ v1_tsp_1(X0,sK1_skl)
| v1_tsp_2(X0,sK1_skl)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0_skl)))
| ~ l1_pre_topc(sK1_skl) ),
inference(forward_demodulation,[status(thm)],[f254,f2285]) ).
fof(f2289,plain,
! [X0] :
( ~ v1_tsp_1(X0,sK1_skl)
| v1_tsp_2(X0,sK1_skl)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0_skl)))
| v1_tsp_1(sK4_skl(X0,sK1_skl),sK0_skl)
| g1_pre_topc(u1_struct_0(sK0_skl),u1_pre_topc(sK1_skl)) != g1_pre_topc(u1_struct_0(sK0_skl),u1_pre_topc(sK0_skl))
| ~ l1_pre_topc(sK0_skl)
| ~ v1_tsp_1(X0,sK1_skl)
| v1_tsp_2(X0,sK1_skl)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0_skl)))
| ~ l1_pre_topc(sK1_skl) ),
inference(forward_demodulation,[status(thm)],[f254,f2288]) ).
fof(f2290,plain,
! [X0] :
( ~ v1_tsp_1(X0,sK1_skl)
| v1_tsp_2(X0,sK1_skl)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0_skl)))
| v1_tsp_1(sK4_skl(X0,sK1_skl),sK0_skl)
| g1_pre_topc(u1_struct_0(sK0_skl),u1_pre_topc(sK0_skl)) != g1_pre_topc(u1_struct_0(sK0_skl),u1_pre_topc(sK0_skl))
| ~ l1_pre_topc(sK0_skl)
| ~ v1_tsp_1(X0,sK1_skl)
| v1_tsp_2(X0,sK1_skl)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0_skl)))
| ~ l1_pre_topc(sK1_skl) ),
inference(forward_demodulation,[status(thm)],[f269,f2289]) ).
fof(f2291,plain,
! [X0] :
( v1_tsp_1(sK4_skl(X0,sK1_skl),sK0_skl)
| g1_pre_topc(u1_struct_0(sK0_skl),u1_pre_topc(sK0_skl)) != g1_pre_topc(u1_struct_0(sK0_skl),u1_pre_topc(sK0_skl))
| ~ l1_pre_topc(sK0_skl)
| ~ v1_tsp_1(X0,sK1_skl)
| v1_tsp_2(X0,sK1_skl)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0_skl)))
| ~ l1_pre_topc(sK1_skl) ),
inference(duplicate_literals_removal,[status(thm)],[f2290]) ).
fof(f2292,plain,
! [X0] :
( v1_tsp_1(sK4_skl(X0,sK1_skl),sK0_skl)
| ~ l1_pre_topc(sK0_skl)
| ~ v1_tsp_1(X0,sK1_skl)
| v1_tsp_2(X0,sK1_skl)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0_skl)))
| ~ l1_pre_topc(sK1_skl) ),
inference(trivial_equality_resolution,[status(thm)],[f2291]) ).
fof(f2293,plain,
! [X0] :
( v1_tsp_1(sK4_skl(X0,sK1_skl),sK0_skl)
| ~ l1_pre_topc(sK0_skl)
| ~ v1_tsp_1(X0,sK1_skl)
| v1_tsp_2(X0,sK1_skl)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0_skl))) ),
inference(forward_subsumption_resolution,[status(thm)],[f2292,f54]) ).
fof(f2299,plain,
! [X0] :
( v1_tsp_1(sK4_skl(X0,sK1_skl),sK0_skl)
| ~ v1_tsp_1(X0,sK1_skl)
| v1_tsp_2(X0,sK1_skl)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0_skl))) ),
inference(resolution,[status(thm)],[f2293,f53]) ).
fof(f2301,plain,
( v1_tsp_1(sK4_skl(sK2_skl,sK1_skl),sK0_skl)
| v1_tsp_2(sK2_skl,sK1_skl)
| ~ m1_subset_1(sK2_skl,k1_zfmisc_1(u1_struct_0(sK0_skl))) ),
inference(resolution,[status(thm)],[f2299,f372]) ).
fof(f2304,plain,
( v1_tsp_1(sK4_skl(sK2_skl,sK1_skl),sK0_skl)
| v1_tsp_2(sK2_skl,sK1_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f2301,f55]) ).
fof(f2316,plain,
( sK2_skl = sK4_skl(sK2_skl,sK1_skl)
| ~ r1_tarski(sK2_skl,sK4_skl(sK2_skl,sK1_skl))
| ~ m1_subset_1(sK4_skl(sK2_skl,sK1_skl),k1_zfmisc_1(u1_struct_0(sK0_skl)))
| v1_tsp_2(sK2_skl,sK1_skl) ),
inference(resolution,[status(thm)],[f2304,f1833]) ).
fof(f2319,plain,
( sK2_skl = sK4_skl(sK2_skl,sK1_skl)
| ~ r1_tarski(sK2_skl,sK4_skl(sK2_skl,sK1_skl))
| ~ m1_subset_1(sK4_skl(sK2_skl,sK1_skl),k1_zfmisc_1(u1_struct_0(sK0_skl))) ),
inference(forward_subsumption_resolution,[status(thm)],[f2316,f207]) ).
fof(f2344,plain,
( ~ v1_tsp_1(sK2_skl,sK1_skl)
| v1_tsp_2(sK2_skl,sK1_skl)
| ~ m1_subset_1(sK2_skl,k1_zfmisc_1(u1_struct_0(sK1_skl)))
| ~ l1_pre_topc(sK1_skl)
| sK2_skl = sK4_skl(sK2_skl,sK1_skl)
| ~ m1_subset_1(sK4_skl(sK2_skl,sK1_skl),k1_zfmisc_1(u1_struct_0(sK0_skl))) ),
inference(resolution,[status(thm)],[f2319,f128]) ).
fof(f2345,plain,
( ~ v1_tsp_1(sK2_skl,sK1_skl)
| v1_tsp_2(sK2_skl,sK1_skl)
| ~ m1_subset_1(sK2_skl,k1_zfmisc_1(u1_struct_0(sK0_skl)))
| ~ l1_pre_topc(sK1_skl)
| sK2_skl = sK4_skl(sK2_skl,sK1_skl)
| ~ m1_subset_1(sK4_skl(sK2_skl,sK1_skl),k1_zfmisc_1(u1_struct_0(sK0_skl))) ),
inference(forward_demodulation,[status(thm)],[f254,f2344]) ).
fof(f2346,plain,
( ~ v1_tsp_1(sK2_skl,sK1_skl)
| v1_tsp_2(sK2_skl,sK1_skl)
| ~ m1_subset_1(sK2_skl,k1_zfmisc_1(u1_struct_0(sK0_skl)))
| ~ l1_pre_topc(sK1_skl)
| sK2_skl = sK4_skl(sK2_skl,sK1_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f2345,f1832]) ).
fof(f2347,plain,
( v1_tsp_2(sK2_skl,sK1_skl)
| ~ m1_subset_1(sK2_skl,k1_zfmisc_1(u1_struct_0(sK0_skl)))
| ~ l1_pre_topc(sK1_skl)
| sK2_skl = sK4_skl(sK2_skl,sK1_skl) ),
inference(resolution,[status(thm)],[f2346,f372]) ).
fof(f2348,plain,
( v1_tsp_2(sK2_skl,sK1_skl)
| ~ m1_subset_1(sK2_skl,k1_zfmisc_1(u1_struct_0(sK0_skl)))
| ~ l1_pre_topc(sK1_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f2347,f2282]) ).
fof(f2349,plain,
( v1_tsp_2(sK2_skl,sK1_skl)
| ~ m1_subset_1(sK2_skl,k1_zfmisc_1(u1_struct_0(sK0_skl))) ),
inference(resolution,[status(thm)],[f2348,f54]) ).
fof(f2351,plain,
v1_tsp_2(sK2_skl,sK1_skl),
inference(forward_subsumption_resolution,[status(thm)],[f2349,f55]) ).
fof(f2352,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f207,f2351]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : TOP023+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n026.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 12:41:07 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.15/0.39 % Drodi V4.1.1
% 2.08/0.72 % Refutation found
% 2.08/0.72 % SZS status Theorem for theBenchmark: Theorem is valid
% 2.08/0.72 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.08/0.77 % Elapsed time: 0.379299 seconds
% 2.08/0.77 % CPU time: 2.581931 seconds
% 2.08/0.77 % Total memory used: 188.387 MB
% 2.08/0.77 % Net memory used: 185.894 MB
%------------------------------------------------------------------------------