%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SEU317+1 : TPTP v9.2.1. Released v3.3.0.
% 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 : n021.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 05:11:27 PM UTC 2026
% Result : Theorem 7.80s 5.67s
% Output : CNFRefutation 7.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 24 ( 4 unt; 0 def)
% Number of atoms : 104 ( 0 equ)
% Maximal formula atoms : 28 ( 4 avg)
% Number of connectives : 133 ( 53 ~; 57 |; 10 &)
% ( 3 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-3 aty)
% Number of variables : 54 ( 0 sgn 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d3_tarski,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( in(X3,X1)
=> in(X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(t45_pre_topc,axiom,
! [X1] :
( top_str(X1)
=> ! [X2] :
( element(X2,powerset(the_carrier(X1)))
=> ! [X3] :
( in(X3,the_carrier(X1))
=> ( in(X3,topstr_closure(X1,X2))
<=> ! [X4] :
( element(X4,powerset(the_carrier(X1)))
=> ( ( closed_subset(X4,X1)
& subset(X2,X4) )
=> in(X3,X4) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t45_pre_topc) ).
fof(t3_subset,axiom,
! [X1,X2] :
( element(X1,powerset(X2))
<=> subset(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
fof(t48_pre_topc,conjecture,
! [X1] :
( top_str(X1)
=> ! [X2] :
( element(X2,powerset(the_carrier(X1)))
=> subset(X2,topstr_closure(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t48_pre_topc) ).
fof(c_0_4,plain,
! [X100,X101,X102,X103,X104] :
( ( ~ subset(X100,X101)
| ~ in(X102,X100)
| in(X102,X101) )
& ( in(esk1_2(X103,X104),X103)
| subset(X103,X104) )
& ( ~ in(esk1_2(X103,X104),X104)
| subset(X103,X104) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_tarski])])])])])]) ).
fof(c_0_5,plain,
! [X126,X127,X128,X129] :
( ( ~ in(X128,topstr_closure(X126,X127))
| ~ element(X129,powerset(the_carrier(X126)))
| ~ closed_subset(X129,X126)
| ~ subset(X127,X129)
| in(X128,X129)
| ~ in(X128,the_carrier(X126))
| ~ element(X127,powerset(the_carrier(X126)))
| ~ top_str(X126) )
& ( element(esk8_3(X126,X127,X128),powerset(the_carrier(X126)))
| in(X128,topstr_closure(X126,X127))
| ~ in(X128,the_carrier(X126))
| ~ element(X127,powerset(the_carrier(X126)))
| ~ top_str(X126) )
& ( closed_subset(esk8_3(X126,X127,X128),X126)
| in(X128,topstr_closure(X126,X127))
| ~ in(X128,the_carrier(X126))
| ~ element(X127,powerset(the_carrier(X126)))
| ~ top_str(X126) )
& ( subset(X127,esk8_3(X126,X127,X128))
| in(X128,topstr_closure(X126,X127))
| ~ in(X128,the_carrier(X126))
| ~ element(X127,powerset(the_carrier(X126)))
| ~ top_str(X126) )
& ( ~ in(X128,esk8_3(X126,X127,X128))
| in(X128,topstr_closure(X126,X127))
| ~ in(X128,the_carrier(X126))
| ~ element(X127,powerset(the_carrier(X126)))
| ~ top_str(X126) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t45_pre_topc])])])])]) ).
fof(c_0_6,plain,
! [X124,X125] :
( ( ~ element(X124,powerset(X125))
| subset(X124,X125) )
& ( ~ subset(X124,X125)
| element(X124,powerset(X125)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])]) ).
cnf(c_0_7,plain,
( in(X3,X2)
| ~ subset(X1,X2)
| ~ in(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
( subset(X1,esk8_3(X2,X1,X3))
| in(X3,topstr_closure(X2,X1))
| ~ in(X3,the_carrier(X2))
| ~ element(X1,powerset(the_carrier(X2)))
| ~ top_str(X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( subset(X1,X2)
| ~ element(X1,powerset(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( in(X1,topstr_closure(X2,X3))
| ~ in(X1,esk8_3(X2,X3,X1))
| ~ in(X1,the_carrier(X2))
| ~ element(X3,powerset(the_carrier(X2)))
| ~ top_str(X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_11,plain,
( in(X1,esk8_3(X2,X3,X4))
| in(X4,topstr_closure(X2,X3))
| ~ top_str(X2)
| ~ element(X3,powerset(the_carrier(X2)))
| ~ in(X4,the_carrier(X2))
| ~ in(X1,X3) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_12,plain,
( in(X1,X2)
| ~ element(X3,powerset(X2))
| ~ in(X1,X3) ),
inference(spm,[status(thm)],[c_0_7,c_0_9]) ).
fof(c_0_13,negated_conjecture,
~ ! [X1] :
( top_str(X1)
=> ! [X2] :
( element(X2,powerset(the_carrier(X1)))
=> subset(X2,topstr_closure(X1,X2)) ) ),
inference(assume_negation,[status(cth)],[t48_pre_topc]) ).
cnf(c_0_14,plain,
( subset(X1,X2)
| ~ in(esk1_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_15,plain,
( in(X1,topstr_closure(X2,X3))
| ~ top_str(X2)
| ~ element(X3,powerset(the_carrier(X2)))
| ~ in(X1,X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]) ).
fof(c_0_16,negated_conjecture,
( top_str(esk9_0)
& element(esk10_0,powerset(the_carrier(esk9_0)))
& ~ subset(esk10_0,topstr_closure(esk9_0,esk10_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])]) ).
cnf(c_0_17,plain,
( subset(X1,topstr_closure(X2,X3))
| ~ top_str(X2)
| ~ element(X3,powerset(the_carrier(X2)))
| ~ in(esk1_2(X1,topstr_closure(X2,X3)),X3) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,plain,
( in(esk1_2(X1,X2),X1)
| subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_19,negated_conjecture,
~ subset(esk10_0,topstr_closure(esk9_0,esk10_0)),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_20,plain,
( subset(X1,topstr_closure(X2,X1))
| ~ top_str(X2)
| ~ element(X1,powerset(the_carrier(X2))) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_21,negated_conjecture,
top_str(esk9_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_22,negated_conjecture,
element(esk10_0,powerset(the_carrier(esk9_0))),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]),c_0_22])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU317+1 : TPTP v9.2.1. Released v3.3.0.
% 0.00/0.11 % 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
% 0.15/0.32 % Computer : n021.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Tue May 5 02:57:40 EDT 2026
% 0.15/0.32 % CPUTime :
% 0.15/0.33 % start to proof: theBenchmark
% 7.80/5.67 % Version : CSE_E---1.7
% 7.80/5.67 % Problem : theBenchmark.p
% 7.80/5.67 % SZS status Theorem for theBenchmark.p
% 7.80/5.67 % SZS output start CNFRefutation
% See solution above
% 7.80/5.69 % Total time : 4.371s
%------------------------------------------------------------------------------