%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : TOP025+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n013.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 : Fri Sep 25 03:54:41 PM UTC 2026
% Result : Theorem 22.45s 4.15s
% Output : Proof 22.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 5
% Syntax : Number of formulae : 49 ( 9 unt; 0 def)
% Number of atoms : 202 ( 39 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 235 ( 82 ~; 105 |; 33 &)
% ( 2 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 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 : 44 ( 0 sgn 28 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f57,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('/export/starexec/sandbox/benchmark/theBenchmark.p',t62_tex_4) ).
fof(f57_nnf,plain,
! [A] :
( ! [B] :
( 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(nnf_transformation,[status(thm)],[f57]) ).
fof(f57_sk,plain,
! [A,B] :
( 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(skolemisation,[status(esa)],[f57_nnf]) ).
cnf(c142,plain,
( k3_tex_4(X0,X1) = X1
| ~ v4_pre_topc(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(esa)],[f57_sk]) ).
fof(f0,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('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_tsp_2) ).
fof(f0_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(negated_conjecture,[status(cth)],[f0]) ).
fof(f0_nnf,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(nnf_transformation,[status(thm)],[f0_neg]) ).
fof(f0_sk,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(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1])],[f0_nnf]) ).
cnf(c1,plain,
v2_pre_topc(sk0),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p500,plain,
( k3_tex_4(sk0,X0) = X0
| ~ v4_pre_topc(X0,sk0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sk0)))
| ~ l1_pre_topc(sk0)
| v3_struct_0(sk0) ),
inference(resolution,[status(thm)],[c142,c1]) ).
cnf(c2,plain,
l1_pre_topc(sk0),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p1014,plain,
( k3_tex_4(sk0,X0) = X0
| ~ v4_pre_topc(X0,sk0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sk0)))
| v3_struct_0(sk0) ),
inference(resolution,[status(thm)],[p500,c2]) ).
cnf(c3,plain,
m1_subset_1(sk1,k1_zfmisc_1(u1_struct_0(sk0))),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p2928,plain,
( k3_tex_4(sk0,sk1) = sk1
| ~ v4_pre_topc(sk1,sk0)
| v3_struct_0(sk0) ),
inference(resolution,[status(thm)],[p1014,c3]) ).
cnf(c4,plain,
( v4_pre_topc(sk1,sk0)
| v3_pre_topc(sk1,sk0) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p2965,plain,
( v3_pre_topc(sk1,sk0)
| k3_tex_4(sk0,sk1) = sk1
| v3_struct_0(sk0) ),
inference(resolution,[status(thm)],[p2928,c4]) ).
fof(f23,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('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_tsp_2) ).
fof(f23_nnf,plain,
! [A] :
( ! [B] :
( ( ( k3_tex_4(A,B) != u1_struct_0(A)
| ~ v1_tsp_1(B,A)
| v1_tsp_2(B,A) )
& ( ( k3_tex_4(A,B) = 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)
| ~ v2_pre_topc(A)
| v3_struct_0(A) ),
inference(nnf_transformation,[status(thm)],[f23]) ).
fof(f23_sk,plain,
! [A,B] :
( ( ( k3_tex_4(A,B) != u1_struct_0(A)
| ~ v1_tsp_1(B,A)
| v1_tsp_2(B,A) )
& ( ( k3_tex_4(A,B) = 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)
| ~ v2_pre_topc(A)
| v3_struct_0(A) ),
inference(skolemisation,[status(esa)],[f23_nnf]) ).
cnf(c65,plain,
( k3_tex_4(X0,X1) = u1_struct_0(X0)
| ~ v1_tsp_2(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(esa)],[f23_sk]) ).
cnf(p369,plain,
( k3_tex_4(sk0,X0) = u1_struct_0(sk0)
| ~ v1_tsp_2(X0,sk0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sk0)))
| ~ l1_pre_topc(sk0)
| v3_struct_0(sk0) ),
inference(resolution,[status(thm)],[c65,c1]) ).
cnf(p657,plain,
( k3_tex_4(sk0,X0) = u1_struct_0(sk0)
| ~ v1_tsp_2(X0,sk0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sk0)))
| v3_struct_0(sk0) ),
inference(resolution,[status(thm)],[p369,c2]) ).
cnf(p1686,plain,
( k3_tex_4(sk0,sk1) = u1_struct_0(sk0)
| ~ v1_tsp_2(sk1,sk0)
| v3_struct_0(sk0) ),
inference(resolution,[status(thm)],[p657,c3]) ).
cnf(c5,plain,
v1_tsp_2(sk1,sk0),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p1712,plain,
( k3_tex_4(sk0,sk1) = u1_struct_0(sk0)
| v3_struct_0(sk0) ),
inference(resolution,[status(thm)],[p1686,c5]) ).
cnf(p2970,plain,
( sk1 = u1_struct_0(sk0)
| v3_struct_0(sk0)
| v3_pre_topc(sk1,sk0)
| v3_struct_0(sk0) ),
inference(superposition,[status(thm)],[p2965,p1712]) ).
cnf(p2978,plain,
( sk1 = u1_struct_0(sk0)
| v3_pre_topc(sk1,sk0)
| v3_struct_0(sk0) ),
inference(factoring,[status(thm)],[p2970]) ).
fof(f56,axiom,
! [A,B] :
( m1_subset_1(B,k1_zfmisc_1(A))
=> ( v1_tex_2(B,k1_zfmisc_1(A))
<=> B != A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_tex_2) ).
fof(f56_nnf,plain,
! [A,B] :
( ( ( B = A
| v1_tex_2(B,k1_zfmisc_1(A)) )
& ( B != A
| ~ v1_tex_2(B,k1_zfmisc_1(A)) ) )
| ~ m1_subset_1(B,k1_zfmisc_1(A)) ),
inference(nnf_transformation,[status(thm)],[f56]) ).
fof(f56_sk,plain,
! [B,A] :
( ( ( B = A
| v1_tex_2(B,k1_zfmisc_1(A)) )
& ( B != A
| ~ v1_tex_2(B,k1_zfmisc_1(A)) ) )
| ~ m1_subset_1(B,k1_zfmisc_1(A)) ),
inference(skolemisation,[status(esa)],[f56_nnf]) ).
cnf(c140,plain,
( X1 != X0
| ~ v1_tex_2(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[status(esa)],[f56_sk]) ).
cnf(p478,plain,
( sk1 != u1_struct_0(sk0)
| ~ v1_tex_2(sk1,k1_zfmisc_1(u1_struct_0(sk0))) ),
inference(resolution,[status(thm)],[c140,c3]) ).
cnf(c6,plain,
v1_tex_2(sk1,k1_zfmisc_1(u1_struct_0(sk0))),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p521,plain,
sk1 != u1_struct_0(sk0),
inference(resolution,[status(thm)],[p478,c6]) ).
cnf(p2990,plain,
( v3_pre_topc(sk1,sk0)
| v3_struct_0(sk0) ),
inference(resolution,[status(thm)],[p2978,p521]) ).
fof(f54,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('/export/starexec/sandbox/benchmark/theBenchmark.p',t58_tex_4) ).
fof(f54_nnf,plain,
! [A] :
( ! [B] :
( 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(nnf_transformation,[status(thm)],[f54]) ).
fof(f54_sk,plain,
! [A,B] :
( 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(skolemisation,[status(esa)],[f54_nnf]) ).
cnf(c138,plain,
( k3_tex_4(X0,X1) = X1
| ~ v3_pre_topc(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(esa)],[f54_sk]) ).
cnf(p447,plain,
( k3_tex_4(sk0,X0) = X0
| ~ v3_pre_topc(X0,sk0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sk0)))
| ~ l1_pre_topc(sk0)
| v3_struct_0(sk0) ),
inference(resolution,[status(thm)],[c138,c1]) ).
cnf(p936,plain,
( k3_tex_4(sk0,X0) = X0
| ~ v3_pre_topc(X0,sk0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sk0)))
| v3_struct_0(sk0) ),
inference(resolution,[status(thm)],[p447,c2]) ).
cnf(p2781,plain,
( k3_tex_4(sk0,sk1) = sk1
| ~ v3_pre_topc(sk1,sk0)
| v3_struct_0(sk0) ),
inference(resolution,[status(thm)],[p936,c3]) ).
cnf(p2998,plain,
( k3_tex_4(sk0,sk1) = sk1
| v3_struct_0(sk0)
| v3_struct_0(sk0) ),
inference(resolution,[status(thm)],[p2990,p2781]) ).
cnf(p3003,plain,
( k3_tex_4(sk0,sk1) = sk1
| v3_struct_0(sk0) ),
inference(factoring,[status(thm)],[p2998]) ).
cnf(p3012,plain,
( sk1 = u1_struct_0(sk0)
| v3_struct_0(sk0)
| v3_struct_0(sk0) ),
inference(superposition,[status(thm)],[p3003,p1712]) ).
cnf(p3020,plain,
( sk1 = u1_struct_0(sk0)
| v3_struct_0(sk0) ),
inference(factoring,[status(thm)],[p3012]) ).
cnf(p3036,plain,
v3_struct_0(sk0),
inference(resolution,[status(thm)],[p3020,p521]) ).
cnf(c0,plain,
~ v3_struct_0(sk0),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p3037,plain,
$false,
inference(resolution,[status(thm)],[p3036,c0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : TOP025+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.36 % Computer : n013.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 25 04:09:21 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 22.45/4.15 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 22.45/4.15 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------