%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : TOP023+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n002.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 09:52:58 AM UTC 2026
% Result : Theorem 0.14s 0.69s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 5
% Syntax : Number of formulae : 81 ( 21 unt; 0 def)
% Number of atoms : 357 ( 58 equ)
% Maximal formula atoms : 31 ( 4 avg)
% Number of connectives : 475 ( 199 ~; 215 |; 38 &)
% ( 1 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 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 : 85 ( 1 sgn 39 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d4_tsp_2,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('theBenchmark.p',d4_tsp_2) ).
fof(dt_u1_pre_topc,axiom,
! [A] :
( l1_pre_topc(A)
=> m1_subset_1(u1_pre_topc(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ),
file('theBenchmark.p',dt_u1_pre_topc) ).
fof(free_g1_pre_topc,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('theBenchmark.p',free_g1_pre_topc) ).
fof(t5_tsp_1,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('theBenchmark.p',t5_tsp_1) ).
fof(t1_tsp_2,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('theBenchmark.p',t1_tsp_2) ).
fof(t1_tsp_2_neg,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(assume_negation,[status(cth)],[t1_tsp_2]) ).
fof(nnf_19,plain,
! [A] :
( ! [B] :
( ( ( ? [C] :
( C != B
& 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) )
& ( ( ! [X0] :
( X0 = B
| ~ r1_tarski(B,X0)
| ~ v1_tsp_1(X0,A)
| ~ m1_subset_1(X0,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(fof_nnf,[status(thm)],[d4_tsp_2]) ).
fof(sk_d4_tsp_2_sk,plain,
! [A] :
( ! [B] :
( ( ( ( sK0(A,B) != B
& r1_tarski(B,sK0(A,B))
& v1_tsp_1(sK0(A,B),A)
& m1_subset_1(sK0(A,B),k1_zfmisc_1(u1_struct_0(A))) )
| ~ v1_tsp_1(B,A)
| v1_tsp_2(B,A) )
& ( ( ! [X0] :
( X0 = B
| ~ r1_tarski(B,X0)
| ~ v1_tsp_1(X0,A)
| ~ m1_subset_1(X0,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,[sK0]),skolemize(C,sK0(A,B))],[nnf_19]) ).
fof(sk_d4_tsp_2,plain,
( ! [VAR_0,VAR_1] :
( sK0(VAR_0,VAR_1) != VAR_1
| ~ v1_tsp_1(VAR_1,VAR_0)
| v1_tsp_2(VAR_1,VAR_0)
| ~ m1_subset_1(VAR_1,k1_zfmisc_1(u1_struct_0(VAR_0)))
| ~ l1_pre_topc(VAR_0) )
& ! [VAR_0,VAR_1] :
( r1_tarski(VAR_1,sK0(VAR_0,VAR_1))
| ~ v1_tsp_1(VAR_1,VAR_0)
| v1_tsp_2(VAR_1,VAR_0)
| ~ m1_subset_1(VAR_1,k1_zfmisc_1(u1_struct_0(VAR_0)))
| ~ l1_pre_topc(VAR_0) )
& ! [VAR_0,VAR_1] :
( v1_tsp_1(sK0(VAR_0,VAR_1),VAR_0)
| ~ v1_tsp_1(VAR_1,VAR_0)
| v1_tsp_2(VAR_1,VAR_0)
| ~ m1_subset_1(VAR_1,k1_zfmisc_1(u1_struct_0(VAR_0)))
| ~ l1_pre_topc(VAR_0) )
& ! [VAR_0,VAR_1] :
( m1_subset_1(sK0(VAR_0,VAR_1),k1_zfmisc_1(u1_struct_0(VAR_0)))
| ~ v1_tsp_1(VAR_1,VAR_0)
| v1_tsp_2(VAR_1,VAR_0)
| ~ m1_subset_1(VAR_1,k1_zfmisc_1(u1_struct_0(VAR_0)))
| ~ l1_pre_topc(VAR_0) )
& ! [VAR_0,VAR_1,VAR_2] :
( VAR_2 = VAR_1
| ~ r1_tarski(VAR_1,VAR_2)
| ~ v1_tsp_1(VAR_2,VAR_0)
| ~ m1_subset_1(VAR_2,k1_zfmisc_1(u1_struct_0(VAR_0)))
| ~ v1_tsp_2(VAR_1,VAR_0)
| ~ m1_subset_1(VAR_1,k1_zfmisc_1(u1_struct_0(VAR_0)))
| ~ l1_pre_topc(VAR_0) )
& ! [VAR_0,VAR_1] :
( v1_tsp_1(VAR_1,VAR_0)
| ~ v1_tsp_2(VAR_1,VAR_0)
| ~ m1_subset_1(VAR_1,k1_zfmisc_1(u1_struct_0(VAR_0)))
| ~ l1_pre_topc(VAR_0) ) ),
inference(cnf_transformation,[status(thm)],[sk_d4_tsp_2_sk]) ).
cnf(c_56,plain,
( r1_tarski(B,sK0(A,B))
| ~ 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(split_conjunct,[status(thm)],[sk_d4_tsp_2]) ).
cnf(c_57,plain,
( C = B
| ~ r1_tarski(B,C)
| ~ v1_tsp_1(C,A)
| ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
| ~ v1_tsp_2(B,A)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ l1_pre_topc(A) ),
inference(split_conjunct,[status(thm)],[sk_d4_tsp_2]) ).
fof(nnf_49,plain,
? [A] :
( ? [B] :
( ? [C] :
( ? [D] :
( ~ v1_tsp_2(D,B)
& v1_tsp_2(C,A)
& D = C
& g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) = g1_pre_topc(u1_struct_0(A),u1_pre_topc(A))
& 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(fof_nnf,[status(thm)],[t1_tsp_2_neg]) ).
fof(sk_t1_tsp_2_neg,plain,
( ~ v1_tsp_2(sK1,sK2)
& v1_tsp_2(sK3,sK4)
& sK1 = sK3
& g1_pre_topc(u1_struct_0(sK2),u1_pre_topc(sK2)) = g1_pre_topc(u1_struct_0(sK4),u1_pre_topc(sK4))
& m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK2)))
& m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK4)))
& l1_pre_topc(sK2)
& l1_pre_topc(sK4) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK2,sK3,sK1]),skolemize(A,sK4),skolemize(B,sK2),skolemize(C,sK3),skolemize(D,sK1)],[nnf_49]) ).
cnf(c_60,negated_conjecture,
~ v1_tsp_2(sK1,sK2),
inference(split_conjunct,[status(thm)],[sk_t1_tsp_2_neg]) ).
cnf(c_61,negated_conjecture,
v1_tsp_2(sK3,sK4),
inference(split_conjunct,[status(thm)],[sk_t1_tsp_2_neg]) ).
cnf(c_62,negated_conjecture,
sK1 = sK3,
inference(split_conjunct,[status(thm)],[sk_t1_tsp_2_neg]) ).
cnf(c_63,negated_conjecture,
g1_pre_topc(u1_struct_0(sK2),u1_pre_topc(sK2)) = g1_pre_topc(u1_struct_0(sK4),u1_pre_topc(sK4)),
inference(split_conjunct,[status(thm)],[sk_t1_tsp_2_neg]) ).
cnf(c_64,negated_conjecture,
m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK2))),
inference(split_conjunct,[status(thm)],[sk_t1_tsp_2_neg]) ).
cnf(c_65,negated_conjecture,
m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2))),
inference(paramod,[status(thm)],[c_62,c_64]) ).
cnf(c_66,negated_conjecture,
m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK4))),
inference(split_conjunct,[status(thm)],[sk_t1_tsp_2_neg]) ).
cnf(c_67,negated_conjecture,
l1_pre_topc(sK2),
inference(split_conjunct,[status(thm)],[sk_t1_tsp_2_neg]) ).
cnf(c_68,negated_conjecture,
l1_pre_topc(sK4),
inference(split_conjunct,[status(thm)],[sk_t1_tsp_2_neg]) ).
cnf(c_72,plain,
( v1_tsp_1(D,B)
| ~ v1_tsp_1(C,A)
| D != C
| g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) != g1_pre_topc(u1_struct_0(A),u1_pre_topc(A))
| ~ 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(clausify,[status(thm)],[t5_tsp_1]) ).
cnf(c_96,plain,
( C = B
| g1_pre_topc(C,D) != g1_pre_topc(B,A)
| ~ m1_subset_1(A,k1_zfmisc_1(k1_zfmisc_1(B))) ),
inference(clausify,[status(thm)],[free_g1_pre_topc]) ).
cnf(c_106,plain,
( m1_subset_1(u1_pre_topc(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))
| ~ l1_pre_topc(A) ),
inference(clausify,[status(thm)],[dt_u1_pre_topc]) ).
cnf(c_108,plain,
( sK0(A,B) != B
| ~ 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(split_conjunct,[status(thm)],[sk_d4_tsp_2]) ).
cnf(c_109,plain,
( v1_tsp_1(sK0(A,B),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(split_conjunct,[status(thm)],[sk_d4_tsp_2]) ).
cnf(c_110,plain,
( m1_subset_1(sK0(A,B),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(split_conjunct,[status(thm)],[sk_d4_tsp_2]) ).
cnf(c_111,plain,
( 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(split_conjunct,[status(thm)],[sk_d4_tsp_2]) ).
cnf(c_139,plain,
( ~ v1_tsp_1(B,C)
| v1_tsp_2(B,C)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(C)))
| ~ l1_pre_topc(C)
| sK0(C,B) = B
| ~ v1_tsp_1(sK0(C,B),A)
| ~ m1_subset_1(sK0(C,B),k1_zfmisc_1(u1_struct_0(A)))
| ~ v1_tsp_2(B,A)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ l1_pre_topc(A) ),
inference(resolve,[status(thm)],[c_57,c_56]) ).
cnf(c_141,negated_conjecture,
~ v1_tsp_2(sK3,sK2),
inference(paramod,[status(thm)],[c_62,c_60]) ).
cnf(c_1002,negated_conjecture,
( v1_tsp_1(sK3,sK2)
| ~ v1_tsp_1(B,A)
| sK3 != B
| g1_pre_topc(u1_struct_0(sK2),u1_pre_topc(sK2)) != g1_pre_topc(u1_struct_0(A),u1_pre_topc(A))
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ l1_pre_topc(sK2)
| ~ l1_pre_topc(A) ),
inference(resolve,[status(thm)],[c_72,c_65]) ).
cnf(c_1003,negated_conjecture,
( v1_tsp_1(sK3,sK2)
| ~ v1_tsp_1(B,A)
| sK3 != B
| g1_pre_topc(u1_struct_0(sK4),u1_pre_topc(sK4)) != g1_pre_topc(u1_struct_0(A),u1_pre_topc(A))
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ l1_pre_topc(sK2)
| ~ l1_pre_topc(A) ),
inference(paramod,[status(thm)],[c_63,c_1002]) ).
cnf(c_155,negated_conjecture,
( v1_tsp_1(sK3,sK2)
| ~ v1_tsp_1(B,A)
| sK3 != B
| g1_pre_topc(u1_struct_0(sK4),u1_pre_topc(sK4)) != g1_pre_topc(u1_struct_0(A),u1_pre_topc(A))
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ l1_pre_topc(A) ),
inference(resolve,[status(thm)],[c_67,c_1003]) ).
cnf(c_1004,negated_conjecture,
g1_pre_topc(u1_struct_0(sK4),u1_pre_topc(sK4)) = g1_pre_topc(u1_struct_0(sK2),u1_pre_topc(sK2)),
inference(copy,[status(thm)],[c_63]) ).
cnf(c_1005,negated_conjecture,
( v1_tsp_1(B,sK4)
| ~ v1_tsp_1(A,sK2)
| B != A
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(sK4)))
| ~ m1_subset_1(A,k1_zfmisc_1(u1_struct_0(sK2)))
| ~ l1_pre_topc(sK4)
| ~ l1_pre_topc(sK2) ),
inference(resolve,[status(thm)],[c_72,c_1004]) ).
cnf(c_1006,negated_conjecture,
( v1_tsp_1(B,sK4)
| ~ v1_tsp_1(A,sK2)
| B != A
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(sK4)))
| ~ m1_subset_1(A,k1_zfmisc_1(u1_struct_0(sK2)))
| ~ l1_pre_topc(sK4) ),
inference(resolve,[status(thm)],[c_67,c_1005]) ).
cnf(c_157,negated_conjecture,
( v1_tsp_1(B,sK4)
| ~ v1_tsp_1(A,sK2)
| B != A
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(sK4)))
| ~ m1_subset_1(A,k1_zfmisc_1(u1_struct_0(sK2))) ),
inference(resolve,[status(thm)],[c_68,c_1006]) ).
cnf(c_215,plain,
( u1_struct_0(sK2) = u1_struct_0(sK4)
| ~ m1_subset_1(u1_pre_topc(sK4),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK4)))) ),
inference(resolve,[status(thm)],[c_96,c_63]) ).
cnf(c_244,plain,
m1_subset_1(u1_pre_topc(sK4),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK4)))),
inference(resolve,[status(thm)],[c_106,c_68]) ).
cnf(c_246,plain,
u1_struct_0(sK2) = u1_struct_0(sK4),
inference(resolve,[status(thm)],[c_244,c_215]) ).
cnf(c_254,negated_conjecture,
( v1_tsp_1(B,sK4)
| ~ v1_tsp_1(A,sK2)
| B != A
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(sK4)))
| ~ m1_subset_1(A,k1_zfmisc_1(u1_struct_0(sK4))) ),
inference(paramod,[status(thm)],[c_246,c_157]) ).
cnf(c_1007,plain,
( v1_tsp_1(A,sK4)
| ~ v1_tsp_1(A,sK2)
| A != A
| ~ m1_subset_1(A,k1_zfmisc_1(u1_struct_0(sK4))) ),
inference(factor,[status(thm)],[c_254]) ).
cnf(c_260,plain,
( v1_tsp_1(A,sK4)
| ~ v1_tsp_1(A,sK2)
| ~ m1_subset_1(A,k1_zfmisc_1(u1_struct_0(sK4))) ),
inference(copy,[status(thm)],[c_1007]) ).
cnf(c_1008,negated_conjecture,
( v1_tsp_1(sK3,sK4)
| ~ v1_tsp_2(sK3,sK4)
| ~ l1_pre_topc(sK4) ),
inference(resolve,[status(thm)],[c_111,c_66]) ).
cnf(c_1009,negated_conjecture,
( v1_tsp_1(sK3,sK4)
| ~ v1_tsp_2(sK3,sK4) ),
inference(resolve,[status(thm)],[c_68,c_1008]) ).
cnf(c_290,negated_conjecture,
v1_tsp_1(sK3,sK4),
inference(resolve,[status(thm)],[c_61,c_1009]) ).
cnf(c_1010,negated_conjecture,
( v1_tsp_1(sK3,sK2)
| ~ v1_tsp_1(sK3,sK4)
| sK3 != sK3
| g1_pre_topc(u1_struct_0(sK4),u1_pre_topc(sK4)) != g1_pre_topc(u1_struct_0(sK4),u1_pre_topc(sK4))
| ~ l1_pre_topc(sK4) ),
inference(resolve,[status(thm)],[c_155,c_66]) ).
cnf(c_1011,negated_conjecture,
( v1_tsp_1(sK3,sK2)
| ~ v1_tsp_1(sK3,sK4)
| sK3 != sK3
| ~ l1_pre_topc(sK4) ),
inference(copy,[status(thm)],[c_1010]) ).
cnf(c_1012,negated_conjecture,
( v1_tsp_1(sK3,sK2)
| ~ v1_tsp_1(sK3,sK4)
| ~ l1_pre_topc(sK4) ),
inference(copy,[status(thm)],[c_1011]) ).
cnf(c_1013,negated_conjecture,
( v1_tsp_1(sK3,sK2)
| ~ v1_tsp_1(sK3,sK4) ),
inference(resolve,[status(thm)],[c_68,c_1012]) ).
cnf(c_458,negated_conjecture,
v1_tsp_1(sK3,sK2),
inference(resolve,[status(thm)],[c_290,c_1013]) ).
cnf(c_1014,plain,
( m1_subset_1(sK0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK2)))
| v1_tsp_2(sK3,sK2)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2)))
| ~ l1_pre_topc(sK2) ),
inference(resolve,[status(thm)],[c_458,c_110]) ).
cnf(c_1015,plain,
( m1_subset_1(sK0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK2)))
| v1_tsp_2(sK3,sK2)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK4)))
| ~ l1_pre_topc(sK2) ),
inference(paramod,[status(thm)],[c_246,c_1014]) ).
cnf(c_1016,plain,
( m1_subset_1(sK0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK4)))
| v1_tsp_2(sK3,sK2)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK4)))
| ~ l1_pre_topc(sK2) ),
inference(paramod,[status(thm)],[c_246,c_1015]) ).
cnf(c_1017,negated_conjecture,
( m1_subset_1(sK0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK4)))
| v1_tsp_2(sK3,sK2)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK4))) ),
inference(resolve,[status(thm)],[c_67,c_1016]) ).
cnf(c_1018,negated_conjecture,
( m1_subset_1(sK0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK4)))
| v1_tsp_2(sK3,sK2) ),
inference(resolve,[status(thm)],[c_66,c_1017]) ).
cnf(c_467,negated_conjecture,
m1_subset_1(sK0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK4))),
inference(resolve,[status(thm)],[c_141,c_1018]) ).
cnf(c_1019,plain,
( v1_tsp_1(sK0(sK2,sK3),sK2)
| v1_tsp_2(sK3,sK2)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2)))
| ~ l1_pre_topc(sK2) ),
inference(resolve,[status(thm)],[c_458,c_109]) ).
cnf(c_1020,plain,
( v1_tsp_1(sK0(sK2,sK3),sK2)
| v1_tsp_2(sK3,sK2)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK4)))
| ~ l1_pre_topc(sK2) ),
inference(paramod,[status(thm)],[c_246,c_1019]) ).
cnf(c_1021,negated_conjecture,
( v1_tsp_1(sK0(sK2,sK3),sK2)
| v1_tsp_2(sK3,sK2)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK4))) ),
inference(resolve,[status(thm)],[c_67,c_1020]) ).
cnf(c_1022,negated_conjecture,
( v1_tsp_1(sK0(sK2,sK3),sK2)
| v1_tsp_2(sK3,sK2) ),
inference(resolve,[status(thm)],[c_66,c_1021]) ).
cnf(c_468,negated_conjecture,
v1_tsp_1(sK0(sK2,sK3),sK2),
inference(resolve,[status(thm)],[c_141,c_1022]) ).
cnf(c_1023,plain,
( sK0(sK2,sK3) != sK3
| v1_tsp_2(sK3,sK2)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2)))
| ~ l1_pre_topc(sK2) ),
inference(resolve,[status(thm)],[c_458,c_108]) ).
cnf(c_1024,plain,
( sK0(sK2,sK3) != sK3
| v1_tsp_2(sK3,sK2)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK4)))
| ~ l1_pre_topc(sK2) ),
inference(paramod,[status(thm)],[c_246,c_1023]) ).
cnf(c_1025,negated_conjecture,
( sK0(sK2,sK3) != sK3
| v1_tsp_2(sK3,sK2)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK4))) ),
inference(resolve,[status(thm)],[c_67,c_1024]) ).
cnf(c_1026,negated_conjecture,
( sK0(sK2,sK3) != sK3
| v1_tsp_2(sK3,sK2) ),
inference(resolve,[status(thm)],[c_66,c_1025]) ).
cnf(c_469,negated_conjecture,
sK0(sK2,sK3) != sK3,
inference(resolve,[status(thm)],[c_141,c_1026]) ).
cnf(c_1027,plain,
( v1_tsp_1(sK0(sK2,sK3),sK4)
| ~ m1_subset_1(sK0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK4))) ),
inference(resolve,[status(thm)],[c_260,c_468]) ).
cnf(c_989,plain,
v1_tsp_1(sK0(sK2,sK3),sK4),
inference(resolve,[status(thm)],[c_467,c_1027]) ).
cnf(c_1028,plain,
( ~ v1_tsp_1(sK3,sK2)
| v1_tsp_2(sK3,sK2)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2)))
| ~ l1_pre_topc(sK2)
| sK0(sK2,sK3) = sK3
| ~ m1_subset_1(sK0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK4)))
| ~ v1_tsp_2(sK3,sK4)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK4)))
| ~ l1_pre_topc(sK4) ),
inference(resolve,[status(thm)],[c_989,c_139]) ).
cnf(c_1029,plain,
( ~ v1_tsp_1(sK3,sK2)
| v1_tsp_2(sK3,sK2)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK4)))
| ~ l1_pre_topc(sK2)
| sK0(sK2,sK3) = sK3
| ~ m1_subset_1(sK0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK4)))
| ~ v1_tsp_2(sK3,sK4)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK4)))
| ~ l1_pre_topc(sK4) ),
inference(paramod,[status(thm)],[c_246,c_1028]) ).
cnf(c_1030,plain,
( ~ v1_tsp_1(sK3,sK2)
| v1_tsp_2(sK3,sK2)
| ~ l1_pre_topc(sK2)
| sK0(sK2,sK3) = sK3
| ~ m1_subset_1(sK0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK4)))
| ~ v1_tsp_2(sK3,sK4)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK4)))
| ~ l1_pre_topc(sK4) ),
inference(copy,[status(thm)],[c_1029]) ).
cnf(c_1031,negated_conjecture,
( ~ v1_tsp_1(sK3,sK2)
| v1_tsp_2(sK3,sK2)
| ~ l1_pre_topc(sK2)
| sK0(sK2,sK3) = sK3
| ~ m1_subset_1(sK0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK4)))
| ~ v1_tsp_2(sK3,sK4)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK4))) ),
inference(resolve,[status(thm)],[c_68,c_1030]) ).
cnf(c_1032,negated_conjecture,
( ~ v1_tsp_1(sK3,sK2)
| v1_tsp_2(sK3,sK2)
| ~ l1_pre_topc(sK2)
| sK0(sK2,sK3) = sK3
| ~ m1_subset_1(sK0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK4)))
| ~ v1_tsp_2(sK3,sK4) ),
inference(resolve,[status(thm)],[c_66,c_1031]) ).
cnf(c_1033,negated_conjecture,
( ~ v1_tsp_1(sK3,sK2)
| v1_tsp_2(sK3,sK2)
| ~ l1_pre_topc(sK2)
| sK0(sK2,sK3) = sK3
| ~ m1_subset_1(sK0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK4))) ),
inference(resolve,[status(thm)],[c_61,c_1032]) ).
cnf(c_1034,negated_conjecture,
( ~ v1_tsp_1(sK3,sK2)
| v1_tsp_2(sK3,sK2)
| ~ l1_pre_topc(sK2)
| sK0(sK2,sK3) = sK3 ),
inference(resolve,[status(thm)],[c_467,c_1033]) ).
cnf(c_1035,negated_conjecture,
( ~ v1_tsp_1(sK3,sK2)
| v1_tsp_2(sK3,sK2)
| ~ l1_pre_topc(sK2) ),
inference(resolve,[status(thm)],[c_469,c_1034]) ).
cnf(c_1036,negated_conjecture,
( ~ v1_tsp_1(sK3,sK2)
| v1_tsp_2(sK3,sK2) ),
inference(resolve,[status(thm)],[c_67,c_1035]) ).
cnf(c_1037,negated_conjecture,
~ v1_tsp_1(sK3,sK2),
inference(resolve,[status(thm)],[c_141,c_1036]) ).
cnf(c_1001,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_458,c_1037]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : TOP023+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.52 % Computer : n002.cluster.edu
% 0.10/0.52 % Model : x86_64 x86_64
% 0.10/0.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.52 % Memory : 8046.5625MB
% 0.10/0.52 % OS : Linux 6.8.0-71-generic
% 0.10/0.52 % CPULimit : 300
% 0.10/0.52 % WCLimit : 300
% 0.10/0.52 % DateTime : Sat Sep 26 20:35:06 UTC 2026
% 0.10/0.52 % CPUTime :
% 0.10/0.52 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.52 % Process 2628943 was started by sandbox on n002,
% 0.10/0.52 % Sat Sep 26 20:35:06 2026
% 0.10/0.52 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.10/0.53
% 0.10/0.53 % From the command line: assign(max_seconds, 300).
% 0.14/0.69
% 0.14/0.69 % SZS status Theorem for theBenchmark
% 0.14/0.69
% 0.14/0.69 % Proof 1 at 0.12 (+ 0.02) seconds.
% 0.14/0.69 % Length of proof is 39.
% 0.14/0.69 % Level of proof is 7.
% 0.14/0.69 % Maximum clause weight is 55.000.
% 0.14/0.69 % Given clauses 288.
% 0.14/0.69
% 0.14/0.69 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------