%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : TOP025+3 : TPTP v9.2.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n026.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 05:56:37 PM UTC 2026
% Result : Theorem 10.47s 9.52s
% Output : CNFRefutation 10.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 47 ( 16 unt; 0 def)
% Number of atoms : 191 ( 27 equ)
% Maximal formula atoms : 19 ( 4 avg)
% Number of connectives : 223 ( 79 ~; 76 |; 36 &)
% ( 5 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 59 ( 1 sgn 41 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t2_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_tops_1(X2,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_tsp_2) ).
fof(t3_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)))
=> ~ ( ( v3_pre_topc(X2,X1)
| v4_pre_topc(X2,X1) )
& v1_tsp_2(X2,X1)
& v1_tex_2(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_tsp_2) ).
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/sandbox/benchmark/theBenchmark.p',d5_tsp_2) ).
fof(t52_pre_topc,axiom,
! [X1] :
( l1_pre_topc(X1)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( ( v4_pre_topc(X2,X1)
=> k6_pre_topc(X1,X2) = X2 )
& ( ( v2_pre_topc(X1)
& k6_pre_topc(X1,X2) = X2 )
=> v4_pre_topc(X2,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+206.ax',t52_pre_topc) ).
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/sandbox/benchmark/Axioms/SET007/SET007+370.ax',d2_tops_3) ).
fof(t58_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)))
=> ( v3_pre_topc(X2,X1)
=> k3_tex_4(X1,X2) = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+405.ax',t58_tex_4) ).
fof(t5_tex_2,axiom,
! [X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
=> ( v1_tex_2(X2,k1_zfmisc_1(X1))
<=> X2 != X1 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+387.ax',t5_tex_2) ).
fof(t3_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
<=> r1_tarski(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+9.ax',t3_subset) ).
fof(reflexivity_r1_tarski,axiom,
! [X1,X2] : r1_tarski(X1,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+1.ax',reflexivity_r1_tarski) ).
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_tops_1(X2,X1) ) ) ),
inference(fof_simplification,[status(thm)],[t2_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)))
=> ~ ( ( v3_pre_topc(X2,X1)
| v4_pre_topc(X2,X1) )
& v1_tsp_2(X2,X1)
& v1_tex_2(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t3_tsp_2])]) ).
fof(c_0_11,plain,
! [X1505,X1506] :
( v3_struct_0(X1505)
| ~ v2_pre_topc(X1505)
| ~ l1_pre_topc(X1505)
| ~ m1_subset_1(X1506,k1_zfmisc_1(u1_struct_0(X1505)))
| ~ v1_tsp_2(X1506,X1505)
| v1_tops_1(X1506,X1505) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])]) ).
fof(c_0_12,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)))
& ( v3_pre_topc(esk2_0,esk1_0)
| v4_pre_topc(esk2_0,esk1_0) )
& v1_tsp_2(esk2_0,esk1_0)
& v1_tex_2(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0))) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])]) ).
fof(c_0_13,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_14,plain,
! [X1516,X1517] :
( ( ~ v4_pre_topc(X1517,X1516)
| k6_pre_topc(X1516,X1517) = X1517
| ~ m1_subset_1(X1517,k1_zfmisc_1(u1_struct_0(X1516)))
| ~ l1_pre_topc(X1516) )
& ( ~ v2_pre_topc(X1516)
| k6_pre_topc(X1516,X1517) != X1517
| v4_pre_topc(X1517,X1516)
| ~ m1_subset_1(X1517,k1_zfmisc_1(u1_struct_0(X1516)))
| ~ l1_pre_topc(X1516) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t52_pre_topc])])])]) ).
fof(c_0_15,plain,
! [X2116,X2117] :
( ( ~ v1_tops_1(X2117,X2116)
| k6_pre_topc(X2116,X2117) = u1_struct_0(X2116)
| ~ m1_subset_1(X2117,k1_zfmisc_1(u1_struct_0(X2116)))
| ~ l1_pre_topc(X2116) )
& ( k6_pre_topc(X2116,X2117) != u1_struct_0(X2116)
| v1_tops_1(X2117,X2116)
| ~ m1_subset_1(X2117,k1_zfmisc_1(u1_struct_0(X2116)))
| ~ l1_pre_topc(X2116) ) ),
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_16,plain,
( v3_struct_0(X1)
| v1_tops_1(X2,X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_tsp_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17,negated_conjecture,
v1_tsp_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,negated_conjecture,
v2_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19,negated_conjecture,
l1_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_20,negated_conjecture,
m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_21,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_22,plain,
! [X1503,X1504] :
( ( v1_tsp_1(X1504,X1503)
| ~ v1_tsp_2(X1504,X1503)
| ~ m1_subset_1(X1504,k1_zfmisc_1(u1_struct_0(X1503)))
| v3_struct_0(X1503)
| ~ v2_pre_topc(X1503)
| ~ l1_pre_topc(X1503) )
& ( k3_tex_4(X1503,X1504) = u1_struct_0(X1503)
| ~ v1_tsp_2(X1504,X1503)
| ~ m1_subset_1(X1504,k1_zfmisc_1(u1_struct_0(X1503)))
| v3_struct_0(X1503)
| ~ v2_pre_topc(X1503)
| ~ l1_pre_topc(X1503) )
& ( ~ v1_tsp_1(X1504,X1503)
| k3_tex_4(X1503,X1504) != u1_struct_0(X1503)
| v1_tsp_2(X1504,X1503)
| ~ m1_subset_1(X1504,k1_zfmisc_1(u1_struct_0(X1503)))
| v3_struct_0(X1503)
| ~ v2_pre_topc(X1503)
| ~ l1_pre_topc(X1503) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])]) ).
fof(c_0_23,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)))
=> ( v3_pre_topc(X2,X1)
=> k3_tex_4(X1,X2) = X2 ) ) ),
inference(fof_simplification,[status(thm)],[t58_tex_4]) ).
cnf(c_0_24,plain,
( k6_pre_topc(X2,X1) = X1
| ~ v4_pre_topc(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_25,negated_conjecture,
( v3_pre_topc(esk2_0,esk1_0)
| v4_pre_topc(esk2_0,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_26,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_15]) ).
cnf(c_0_27,negated_conjecture,
v1_tops_1(esk2_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_16,c_0_17]),c_0_18]),c_0_19]),c_0_20])]),c_0_21]) ).
fof(c_0_28,plain,
! [X1437,X1438] :
( ( ~ v1_tex_2(X1438,k1_zfmisc_1(X1437))
| X1438 != X1437
| ~ m1_subset_1(X1438,k1_zfmisc_1(X1437)) )
& ( X1438 = X1437
| v1_tex_2(X1438,k1_zfmisc_1(X1437))
| ~ m1_subset_1(X1438,k1_zfmisc_1(X1437)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_tex_2])])]) ).
fof(c_0_29,plain,
! [X2579,X2580] :
( ( ~ m1_subset_1(X2579,k1_zfmisc_1(X2580))
| r1_tarski(X2579,X2580) )
& ( ~ r1_tarski(X2579,X2580)
| m1_subset_1(X2579,k1_zfmisc_1(X2580)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])]) ).
fof(c_0_30,plain,
! [X2556] : r1_tarski(X2556,X2556),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[reflexivity_r1_tarski])]) ).
cnf(c_0_31,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_22]) ).
fof(c_0_32,plain,
! [X2808,X2809] :
( v3_struct_0(X2808)
| ~ v2_pre_topc(X2808)
| ~ l1_pre_topc(X2808)
| ~ m1_subset_1(X2809,k1_zfmisc_1(u1_struct_0(X2808)))
| ~ v3_pre_topc(X2809,X2808)
| k3_tex_4(X2808,X2809) = X2809 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])]) ).
cnf(c_0_33,negated_conjecture,
( k6_pre_topc(esk1_0,esk2_0) = esk2_0
| v3_pre_topc(esk2_0,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_19]),c_0_20])]) ).
cnf(c_0_34,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_26,c_0_27]),c_0_19]),c_0_20])]) ).
cnf(c_0_35,plain,
( ~ v1_tex_2(X1,k1_zfmisc_1(X2))
| X1 != X2
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_36,plain,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_37,plain,
r1_tarski(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_38,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_31,c_0_17]),c_0_18]),c_0_19]),c_0_20])]),c_0_21]) ).
cnf(c_0_39,plain,
( v3_struct_0(X1)
| k3_tex_4(X1,X2) = X2
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_pre_topc(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_40,negated_conjecture,
( esk2_0 = u1_struct_0(esk1_0)
| v3_pre_topc(esk2_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_41,plain,
( ~ v1_tex_2(X1,k1_zfmisc_1(X1))
| ~ m1_subset_1(X1,k1_zfmisc_1(X1)) ),
inference(er,[status(thm)],[c_0_35]) ).
cnf(c_0_42,plain,
m1_subset_1(X1,k1_zfmisc_1(X1)),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_43,negated_conjecture,
v1_tex_2(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_44,negated_conjecture,
esk2_0 = u1_struct_0(esk1_0),
inference(csr,[status(thm)],[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_38,c_0_39]),c_0_18]),c_0_19]),c_0_20])]),c_0_21]),c_0_40]) ).
cnf(c_0_45,plain,
~ v1_tex_2(X1,k1_zfmisc_1(X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_42])]) ).
cnf(c_0_46,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_44]),c_0_45]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : TOP025+3 : TPTP v9.2.1. Released v3.4.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n026.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 09:55:55 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 10.47/9.52 % Version : CSE_E---1.7
% 10.47/9.52 % Problem : theBenchmark.p
% 10.47/9.52 % SZS status Theorem for theBenchmark.p
% 10.47/9.52 % SZS output start CNFRefutation
% See solution above
% 10.47/9.53 % Total time : 8.900s
%------------------------------------------------------------------------------