%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : TOP025+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 : n017.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 0.23s 5.76s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 41 ( 11 unt; 0 def)
% Number of atoms : 141 ( 27 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 161 ( 61 ~; 58 |; 27 &)
% ( 2 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 31 ( 0 sgn 12 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d5_tsp_2,axiom,
! [A] :
( ( l1_pre_topc(A)
& v2_pre_topc(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
=> ( v1_tsp_2(B,A)
<=> ( k3_tex_4(A,B) = u1_struct_0(A)
& v1_tsp_1(B,A) ) ) ) ),
file('theBenchmark.p',d5_tsp_2) ).
fof(t58_tex_4,axiom,
! [A] :
( ( l1_pre_topc(A)
& v2_pre_topc(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
=> ( v3_pre_topc(B,A)
=> k3_tex_4(A,B) = B ) ) ),
file('theBenchmark.p',t58_tex_4) ).
fof(t5_tex_2,axiom,
! [A,B] :
( m1_subset_1(B,k1_zfmisc_1(A))
=> ( v1_tex_2(B,k1_zfmisc_1(A))
<=> B != A ) ),
file('theBenchmark.p',t5_tex_2) ).
fof(t62_tex_4,axiom,
! [A] :
( ( l1_pre_topc(A)
& v2_pre_topc(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
=> ( v4_pre_topc(B,A)
=> k3_tex_4(A,B) = B ) ) ),
file('theBenchmark.p',t62_tex_4) ).
fof(t3_tsp_2,conjecture,
! [A] :
( ( l1_pre_topc(A)
& v2_pre_topc(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
=> ~ ( v1_tex_2(B,k1_zfmisc_1(u1_struct_0(A)))
& v1_tsp_2(B,A)
& ( v4_pre_topc(B,A)
| v3_pre_topc(B,A) ) ) ) ),
file('theBenchmark.p',t3_tsp_2) ).
fof(t3_tsp_2_neg,negated_conjecture,
~ ! [A] :
( ( l1_pre_topc(A)
& v2_pre_topc(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
=> ~ ( v1_tex_2(B,k1_zfmisc_1(u1_struct_0(A)))
& v1_tsp_2(B,A)
& ( v4_pre_topc(B,A)
| v3_pre_topc(B,A) ) ) ) ),
inference(assume_negation,[status(cth)],[t3_tsp_2]) ).
fof(nnf_61,plain,
? [A] :
( ? [B] :
( v1_tex_2(B,k1_zfmisc_1(u1_struct_0(A)))
& v1_tsp_2(B,A)
& ( v4_pre_topc(B,A)
| v3_pre_topc(B,A) )
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
& l1_pre_topc(A)
& v2_pre_topc(A)
& ~ v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t3_tsp_2_neg]) ).
fof(sk_t3_tsp_2_neg,plain,
( v1_tex_2(sK1,k1_zfmisc_1(u1_struct_0(sK0)))
& v1_tsp_2(sK1,sK0)
& ( v4_pre_topc(sK1,sK0)
| v3_pre_topc(sK1,sK0) )
& m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0)))
& l1_pre_topc(sK0)
& v2_pre_topc(sK0)
& ~ v3_struct_0(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(A,sK0),skolemize(B,sK1)],[nnf_61]) ).
cnf(c_62,negated_conjecture,
v2_pre_topc(sK0),
inference(split_conjunct,[status(thm)],[sk_t3_tsp_2_neg]) ).
cnf(c_63,plain,
( k3_tex_4(A,B) = B
| ~ v4_pre_topc(B,A)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ l1_pre_topc(A)
| ~ v2_pre_topc(A)
| v3_struct_0(A) ),
inference(clausify,[status(thm)],[t62_tex_4]) ).
cnf(c_64,plain,
( k3_tex_4(A,B) = B
| ~ v3_pre_topc(B,A)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ l1_pre_topc(A)
| ~ v2_pre_topc(A)
| v3_struct_0(A) ),
inference(clausify,[status(thm)],[t58_tex_4]) ).
cnf(c_91,plain,
( k3_tex_4(A,B) = u1_struct_0(A)
| ~ v1_tsp_2(B,A)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ l1_pre_topc(A)
| ~ v2_pre_topc(A)
| v3_struct_0(A) ),
inference(clausify,[status(thm)],[d5_tsp_2]) ).
cnf(c_175,plain,
( A != B
| ~ v1_tex_2(A,k1_zfmisc_1(B))
| ~ m1_subset_1(A,k1_zfmisc_1(B)) ),
inference(clausify,[status(thm)],[t5_tex_2]) ).
cnf(c_180,negated_conjecture,
~ v3_struct_0(sK0),
inference(split_conjunct,[status(thm)],[sk_t3_tsp_2_neg]) ).
cnf(c_181,negated_conjecture,
l1_pre_topc(sK0),
inference(split_conjunct,[status(thm)],[sk_t3_tsp_2_neg]) ).
cnf(c_182,negated_conjecture,
m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0))),
inference(split_conjunct,[status(thm)],[sk_t3_tsp_2_neg]) ).
cnf(c_183,negated_conjecture,
( v4_pre_topc(sK1,sK0)
| v3_pre_topc(sK1,sK0) ),
inference(split_conjunct,[status(thm)],[sk_t3_tsp_2_neg]) ).
cnf(c_184,negated_conjecture,
v1_tsp_2(sK1,sK0),
inference(split_conjunct,[status(thm)],[sk_t3_tsp_2_neg]) ).
cnf(c_185,negated_conjecture,
v1_tex_2(sK1,k1_zfmisc_1(u1_struct_0(sK0))),
inference(split_conjunct,[status(thm)],[sk_t3_tsp_2_neg]) ).
cnf(c_186,negated_conjecture,
( k3_tex_4(sK0,A) = A
| ~ v4_pre_topc(A,sK0)
| ~ m1_subset_1(A,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ l1_pre_topc(sK0)
| v3_struct_0(sK0) ),
inference(resolve,[status(thm)],[c_62,c_63]) ).
cnf(c_579,negated_conjecture,
( k3_tex_4(sK0,A) = A
| ~ v4_pre_topc(A,sK0)
| ~ m1_subset_1(A,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ l1_pre_topc(sK0) ),
inference(resolve,[status(thm)],[c_180,c_186]) ).
cnf(c_187,negated_conjecture,
( k3_tex_4(sK0,A) = A
| ~ v4_pre_topc(A,sK0)
| ~ m1_subset_1(A,k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(resolve,[status(thm)],[c_181,c_579]) ).
cnf(c_188,negated_conjecture,
( k3_tex_4(sK0,A) = A
| ~ v3_pre_topc(A,sK0)
| ~ m1_subset_1(A,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ l1_pre_topc(sK0)
| v3_struct_0(sK0) ),
inference(resolve,[status(thm)],[c_62,c_64]) ).
cnf(c_580,negated_conjecture,
( k3_tex_4(sK0,A) = A
| ~ v3_pre_topc(A,sK0)
| ~ m1_subset_1(A,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ l1_pre_topc(sK0) ),
inference(resolve,[status(thm)],[c_180,c_188]) ).
cnf(c_189,negated_conjecture,
( k3_tex_4(sK0,A) = A
| ~ v3_pre_topc(A,sK0)
| ~ m1_subset_1(A,k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(resolve,[status(thm)],[c_181,c_580]) ).
cnf(c_242,negated_conjecture,
( k3_tex_4(sK0,A) = u1_struct_0(sK0)
| ~ v1_tsp_2(A,sK0)
| ~ m1_subset_1(A,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ l1_pre_topc(sK0)
| v3_struct_0(sK0) ),
inference(resolve,[status(thm)],[c_62,c_91]) ).
cnf(c_581,negated_conjecture,
( k3_tex_4(sK0,A) = u1_struct_0(sK0)
| ~ v1_tsp_2(A,sK0)
| ~ m1_subset_1(A,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ l1_pre_topc(sK0) ),
inference(resolve,[status(thm)],[c_180,c_242]) ).
cnf(c_243,negated_conjecture,
( k3_tex_4(sK0,A) = u1_struct_0(sK0)
| ~ v1_tsp_2(A,sK0)
| ~ m1_subset_1(A,k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(resolve,[status(thm)],[c_181,c_581]) ).
cnf(c_582,negated_conjecture,
( sK1 != u1_struct_0(sK0)
| ~ v1_tex_2(sK1,k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(resolve,[status(thm)],[c_182,c_175]) ).
cnf(c_583,negated_conjecture,
( u1_struct_0(sK0) != sK1
| ~ v1_tex_2(sK1,k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(copy,[status(thm)],[c_582]) ).
cnf(c_408,negated_conjecture,
u1_struct_0(sK0) != sK1,
inference(resolve,[status(thm)],[c_185,c_583]) ).
cnf(c_584,negated_conjecture,
( v3_pre_topc(sK1,sK0)
| k3_tex_4(sK0,sK1) = sK1
| ~ m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(resolve,[status(thm)],[c_187,c_183]) ).
cnf(c_433,negated_conjecture,
( v3_pre_topc(sK1,sK0)
| k3_tex_4(sK0,sK1) = sK1 ),
inference(resolve,[status(thm)],[c_182,c_584]) ).
cnf(c_434,plain,
( k3_tex_4(sK0,sK1) = sK1
| ~ v3_pre_topc(sK1,sK0) ),
inference(resolve,[status(thm)],[c_189,c_182]) ).
cnf(c_585,negated_conjecture,
( k3_tex_4(sK0,sK1) = u1_struct_0(sK0)
| ~ v1_tsp_2(sK1,sK0) ),
inference(resolve,[status(thm)],[c_243,c_182]) ).
cnf(c_573,negated_conjecture,
k3_tex_4(sK0,sK1) = u1_struct_0(sK0),
inference(resolve,[status(thm)],[c_184,c_585]) ).
cnf(c_586,plain,
( u1_struct_0(sK0) = sK1
| ~ v3_pre_topc(sK1,sK0) ),
inference(paramod,[status(thm)],[c_573,c_434]) ).
cnf(c_577,plain,
~ v3_pre_topc(sK1,sK0),
inference(resolve,[status(thm)],[c_408,c_586]) ).
cnf(c_587,negated_conjecture,
( v3_pre_topc(sK1,sK0)
| u1_struct_0(sK0) = sK1 ),
inference(paramod,[status(thm)],[c_573,c_433]) ).
cnf(c_588,negated_conjecture,
v3_pre_topc(sK1,sK0),
inference(resolve,[status(thm)],[c_408,c_587]) ).
cnf(c_578,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_577,c_588]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : TOP025+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/5.67 % Computer : n017.cluster.edu
% 0.17/5.67 % Model : x86_64 x86_64
% 0.17/5.67 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/5.67 % Memory : 8046.5625MB
% 0.17/5.67 % OS : Linux 6.8.0-71-generic
% 0.17/5.67 % CPULimit : 300
% 0.17/5.67 % WCLimit : 300
% 0.17/5.67 % DateTime : Sat Sep 26 20:26:55 UTC 2026
% 0.17/5.68 % CPUTime :
% 0.17/5.68 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.17/5.68 % Process 1581256 was started by sandbox2 on n017,
% 0.17/5.68 % Sat Sep 26 20:26:55 2026
% 0.17/5.68 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.23/5.70
% 0.23/5.70 % From the command line: assign(max_seconds, 300).
% 0.23/5.76
% 0.23/5.76 % SZS status Theorem for theBenchmark
% 0.23/5.76
% 0.23/5.76 % Proof 1 at 0.02 (+ 0.01) seconds.
% 0.23/5.76 % Length of proof is 28.
% 0.23/5.76 % Level of proof is 6.
% 0.23/5.76 % Maximum clause weight is 29.000.
% 0.23/5.76 % Given clauses 99.
% 0.23/5.76
% 0.23/5.76 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------