%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SEU094+1 : TPTP v9.2.1. Released v3.2.0.
% 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 : n023.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 05:10:37 PM UTC 2026
% Result : Theorem 1.27s 1.71s
% Output : CNFRefutation 1.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 36 ( 8 unt; 0 def)
% Number of atoms : 94 ( 0 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 95 ( 37 ~; 40 |; 9 &)
% ( 3 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 34 ( 0 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t13_finset_1,axiom,
! [X1,X2] :
( ( subset(X1,X2)
& finite(X2) )
=> finite(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_finset_1) ).
fof(t100_zfmisc_1,axiom,
! [X1] : subset(X1,powerset(union(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t100_zfmisc_1) ).
fof(t24_finset_1,axiom,
! [X1] :
( finite(X1)
<=> finite(powerset(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t24_finset_1) ).
fof(t25_finset_1,conjecture,
! [X1] :
( ( finite(X1)
& ! [X2] :
( in(X2,X1)
=> finite(X2) ) )
<=> finite(union(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t25_finset_1) ).
fof(l22_finset_1,axiom,
! [X1] :
( ( finite(X1)
& ! [X2] :
( in(X2,X1)
=> finite(X2) ) )
=> finite(union(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l22_finset_1) ).
fof(t92_zfmisc_1,axiom,
! [X1,X2] :
( in(X1,X2)
=> subset(X1,union(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t92_zfmisc_1) ).
fof(c_0_6,plain,
! [X133,X134] :
( ~ subset(X133,X134)
| ~ finite(X134)
| finite(X133) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t13_finset_1])]) ).
fof(c_0_7,plain,
! [X132] : subset(X132,powerset(union(X132))),
inference(variable_rename,[status(thm)],[t100_zfmisc_1]) ).
cnf(c_0_8,plain,
( finite(X1)
| ~ subset(X1,X2)
| ~ finite(X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,plain,
subset(X1,powerset(union(X1))),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_10,plain,
! [X137] :
( ( ~ finite(X137)
| finite(powerset(X137)) )
& ( ~ finite(powerset(X137))
| finite(X137) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t24_finset_1])]) ).
fof(c_0_11,negated_conjecture,
~ ! [X1] :
( ( finite(X1)
& ! [X2] :
( in(X2,X1)
=> finite(X2) ) )
<=> finite(union(X1)) ),
inference(assume_negation,[status(cth)],[t25_finset_1]) ).
cnf(c_0_12,plain,
( finite(X1)
| ~ finite(powerset(union(X1))) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,plain,
( finite(powerset(X1))
| ~ finite(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_14,negated_conjecture,
! [X140] :
( ( in(esk29_0,esk28_0)
| ~ finite(esk28_0)
| ~ finite(union(esk28_0)) )
& ( ~ finite(esk29_0)
| ~ finite(esk28_0)
| ~ finite(union(esk28_0)) )
& ( finite(esk28_0)
| finite(union(esk28_0)) )
& ( ~ in(X140,esk28_0)
| finite(X140)
| finite(union(esk28_0)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])])]) ).
fof(c_0_15,plain,
! [X100] :
( ( in(esk2_1(X100),X100)
| ~ finite(X100)
| finite(union(X100)) )
& ( ~ finite(esk2_1(X100))
| ~ finite(X100)
| finite(union(X100)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l22_finset_1])])])]) ).
cnf(c_0_16,plain,
( finite(X1)
| ~ finite(union(X1)) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,negated_conjecture,
( finite(esk28_0)
| finite(union(esk28_0)) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_18,plain,
( in(esk2_1(X1),X1)
| finite(union(X1))
| ~ finite(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_19,negated_conjecture,
finite(esk28_0),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
fof(c_0_20,plain,
! [X156,X157] :
( ~ in(X156,X157)
| subset(X156,union(X157)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t92_zfmisc_1])]) ).
cnf(c_0_21,negated_conjecture,
( finite(X1)
| finite(union(esk28_0))
| ~ in(X1,esk28_0) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_22,negated_conjecture,
( finite(union(esk28_0))
| in(esk2_1(esk28_0),esk28_0) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_23,plain,
( subset(X1,union(X2))
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_24,plain,
( finite(union(X1))
| ~ finite(esk2_1(X1))
| ~ finite(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_25,negated_conjecture,
( finite(esk2_1(esk28_0))
| finite(union(esk28_0)) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_26,negated_conjecture,
( in(esk29_0,esk28_0)
| ~ finite(esk28_0)
| ~ finite(union(esk28_0)) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_27,negated_conjecture,
( ~ finite(esk29_0)
| ~ finite(esk28_0)
| ~ finite(union(esk28_0)) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_28,plain,
( finite(X1)
| ~ finite(union(X2))
| ~ in(X1,X2) ),
inference(spm,[status(thm)],[c_0_8,c_0_23]) ).
cnf(c_0_29,negated_conjecture,
finite(union(esk28_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_19])]) ).
cnf(c_0_30,negated_conjecture,
( in(esk29_0,esk28_0)
| ~ finite(union(esk28_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_19])]) ).
cnf(c_0_31,negated_conjecture,
( ~ finite(union(esk28_0))
| ~ finite(esk29_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_19])]) ).
cnf(c_0_32,negated_conjecture,
( finite(X1)
| ~ in(X1,esk28_0) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_33,negated_conjecture,
in(esk29_0,esk28_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_29])]) ).
cnf(c_0_34,negated_conjecture,
~ finite(esk29_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_29])]) ).
cnf(c_0_35,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU094+1 : TPTP v9.2.1. Released v3.2.0.
% 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
% 0.13/0.32 % Computer : n023.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 300
% 0.13/0.32 % DateTime : Tue May 5 02:43:39 EDT 2026
% 0.13/0.33 % CPUTime :
% 0.13/0.33 % start to proof: theBenchmark
% 1.27/1.71 % Version : CSE_E---1.7
% 1.27/1.71 % Problem : theBenchmark.p
% 1.27/1.71 % SZS status Theorem for theBenchmark.p
% 1.27/1.71 % SZS output start CNFRefutation
% See solution above
% 1.27/1.71 % Total time : 1.369s
%------------------------------------------------------------------------------