%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : TOP024+1 : TPTP v9.2.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 05:56:36 PM UTC 2026
% Result : Theorem 1.42s 1.76s
% Output : CNFRefutation 1.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 43 ( 14 unt; 0 def)
% Number of atoms : 141 ( 21 equ)
% Maximal formula atoms : 19 ( 3 avg)
% Number of connectives : 156 ( 58 ~; 52 |; 23 &)
% ( 4 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 50 ( 1 sgn 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d5_tsp_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v1_tsp_2(X2,X1)
<=> ( v1_tsp_1(X2,X1)
& k3_tex_4(X1,X2) = u1_struct_0(X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_tsp_2) ).
fof(t2_tsp_2,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v1_tsp_2(X2,X1)
=> v1_tops_1(X2,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_tsp_2) ).
fof(t64_tex_4,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> k6_pre_topc(X1,k3_tex_4(X1,X2)) = k6_pre_topc(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t64_tex_4) ).
fof(fc9_tops_1,axiom,
! [X1] :
( l1_pre_topc(X1)
=> v1_tops_1(k2_pre_topc(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc9_tops_1) ).
fof(t12_pre_topc,axiom,
! [X1] :
( l1_struct_0(X1)
=> k2_pre_topc(X1) = u1_struct_0(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_pre_topc) ).
fof(dt_l1_pre_topc,axiom,
! [X1] :
( l1_pre_topc(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_pre_topc) ).
fof(t3_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
<=> r1_tarski(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
fof(reflexivity_r1_tarski,axiom,
! [X1,X2] : r1_tarski(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(d2_tops_3,axiom,
! [X1] :
( l1_pre_topc(X1)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v1_tops_1(X2,X1)
<=> k6_pre_topc(X1,X2) = u1_struct_0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_tops_3) ).
fof(c_0_9,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v1_tsp_2(X2,X1)
<=> ( v1_tsp_1(X2,X1)
& k3_tex_4(X1,X2) = u1_struct_0(X1) ) ) ) ),
inference(fof_simplification,[status(thm)],[d5_tsp_2]) ).
fof(c_0_10,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v1_tsp_2(X2,X1)
=> v1_tops_1(X2,X1) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t2_tsp_2])]) ).
fof(c_0_11,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> k6_pre_topc(X1,k3_tex_4(X1,X2)) = k6_pre_topc(X1,X2) ) ),
inference(fof_simplification,[status(thm)],[t64_tex_4]) ).
fof(c_0_12,plain,
! [X156,X157] :
( ( v1_tsp_1(X157,X156)
| ~ v1_tsp_2(X157,X156)
| ~ m1_subset_1(X157,k1_zfmisc_1(u1_struct_0(X156)))
| v3_struct_0(X156)
| ~ v2_pre_topc(X156)
| ~ l1_pre_topc(X156) )
& ( k3_tex_4(X156,X157) = u1_struct_0(X156)
| ~ v1_tsp_2(X157,X156)
| ~ m1_subset_1(X157,k1_zfmisc_1(u1_struct_0(X156)))
| v3_struct_0(X156)
| ~ v2_pre_topc(X156)
| ~ l1_pre_topc(X156) )
& ( ~ v1_tsp_1(X157,X156)
| k3_tex_4(X156,X157) != u1_struct_0(X156)
| v1_tsp_2(X157,X156)
| ~ m1_subset_1(X157,k1_zfmisc_1(u1_struct_0(X156)))
| v3_struct_0(X156)
| ~ v2_pre_topc(X156)
| ~ l1_pre_topc(X156) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])]) ).
fof(c_0_13,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v2_pre_topc(esk1_0)
& l1_pre_topc(esk1_0)
& m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
& v1_tsp_2(esk2_0,esk1_0)
& ~ v1_tops_1(esk2_0,esk1_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])]) ).
fof(c_0_14,plain,
! [X175] :
( ~ l1_pre_topc(X175)
| v1_tops_1(k2_pre_topc(X175),X175) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc9_tops_1])]) ).
fof(c_0_15,plain,
! [X199] :
( ~ l1_struct_0(X199)
| k2_pre_topc(X199) = u1_struct_0(X199) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t12_pre_topc])]) ).
fof(c_0_16,plain,
! [X163] :
( ~ l1_pre_topc(X163)
| l1_struct_0(X163) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_pre_topc])]) ).
fof(c_0_17,plain,
! [X204,X205] :
( ( ~ m1_subset_1(X204,k1_zfmisc_1(X205))
| r1_tarski(X204,X205) )
& ( ~ r1_tarski(X204,X205)
| m1_subset_1(X204,k1_zfmisc_1(X205)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])]) ).
fof(c_0_18,plain,
! [X198] : r1_tarski(X198,X198),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[reflexivity_r1_tarski])]) ).
fof(c_0_19,plain,
! [X214,X215] :
( v3_struct_0(X214)
| ~ v2_pre_topc(X214)
| ~ l1_pre_topc(X214)
| ~ m1_subset_1(X215,k1_zfmisc_1(u1_struct_0(X214)))
| k6_pre_topc(X214,k3_tex_4(X214,X215)) = k6_pre_topc(X214,X215) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])]) ).
cnf(c_0_20,plain,
( k3_tex_4(X1,X2) = u1_struct_0(X1)
| v3_struct_0(X1)
| ~ v1_tsp_2(X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_21,negated_conjecture,
m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_22,negated_conjecture,
v1_tsp_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_23,negated_conjecture,
l1_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_24,negated_conjecture,
v2_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_25,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_26,plain,
! [X154,X155] :
( ( ~ v1_tops_1(X155,X154)
| k6_pre_topc(X154,X155) = u1_struct_0(X154)
| ~ m1_subset_1(X155,k1_zfmisc_1(u1_struct_0(X154)))
| ~ l1_pre_topc(X154) )
& ( k6_pre_topc(X154,X155) != u1_struct_0(X154)
| v1_tops_1(X155,X154)
| ~ m1_subset_1(X155,k1_zfmisc_1(u1_struct_0(X154)))
| ~ l1_pre_topc(X154) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_tops_3])])])]) ).
cnf(c_0_27,plain,
( v1_tops_1(k2_pre_topc(X1),X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_28,plain,
( k2_pre_topc(X1) = u1_struct_0(X1)
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_29,plain,
( l1_struct_0(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_30,plain,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_31,plain,
r1_tarski(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_32,plain,
( v3_struct_0(X1)
| k6_pre_topc(X1,k3_tex_4(X1,X2)) = k6_pre_topc(X1,X2)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_33,negated_conjecture,
k3_tex_4(esk1_0,esk2_0) = u1_struct_0(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]),c_0_23]),c_0_24])]),c_0_25]) ).
cnf(c_0_34,plain,
( k6_pre_topc(X2,X1) = u1_struct_0(X2)
| ~ v1_tops_1(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_35,plain,
( v1_tops_1(u1_struct_0(X1),X1)
| ~ l1_pre_topc(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]) ).
cnf(c_0_36,plain,
m1_subset_1(X1,k1_zfmisc_1(X1)),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_37,negated_conjecture,
~ v1_tops_1(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_38,plain,
( v1_tops_1(X2,X1)
| k6_pre_topc(X1,X2) != u1_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_39,negated_conjecture,
k6_pre_topc(esk1_0,u1_struct_0(esk1_0)) = k6_pre_topc(esk1_0,esk2_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_21]),c_0_33]),c_0_23]),c_0_24])]),c_0_25]) ).
cnf(c_0_40,plain,
( k6_pre_topc(X1,u1_struct_0(X1)) = u1_struct_0(X1)
| ~ l1_pre_topc(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36])]) ).
cnf(c_0_41,negated_conjecture,
k6_pre_topc(esk1_0,esk2_0) != u1_struct_0(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_21]),c_0_23])]) ).
cnf(c_0_42,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_23])]),c_0_41]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : TOP024+1 : TPTP v9.2.1. Released v3.4.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n006.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 09:54:46 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.42/1.76 % Version : CSE_E---1.7
% 1.42/1.76 % Problem : theBenchmark.p
% 1.42/1.76 % SZS status Theorem for theBenchmark.p
% 1.42/1.76 % SZS output start CNFRefutation
% See solution above
% 1.42/1.76 % Total time : 1.374s
%------------------------------------------------------------------------------