%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SEU163+1 : TPTP v9.2.1. Released v3.3.0.
% 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 : n019.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 05:10:52 PM UTC 2026
% Result : Theorem 0.16s 1.53s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 6 unt; 0 def)
% Number of atoms : 26 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 21 ( 11 ~; 4 |; 1 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 22 ( 1 sgn 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(antisymmetry_r2_hidden,axiom,
! [X1,X2] :
( in(X1,X2)
=> ~ in(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(t92_zfmisc_1,conjecture,
! [X1,X2] :
( in(X1,X2)
=> subset(X1,union(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t92_zfmisc_1) ).
fof(l50_zfmisc_1,axiom,
! [X1,X2] :
( in(X1,X2)
=> subset(X1,union(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l50_zfmisc_1) ).
fof(reflexivity_r1_tarski,axiom,
! [X1,X2] : subset(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(i_0_4,plain,
! [X1,X2] :
( in(X1,X2)
=> ~ in(X2,X1) ),
inference(fof_simplification,[status(thm)],[antisymmetry_r2_hidden]) ).
fof(i_0_5,negated_conjecture,
~ ! [X1,X2] :
( in(X1,X2)
=> subset(X1,union(X2)) ),
inference(assume_negation,[status(cth)],[t92_zfmisc_1]) ).
fof(i_0_6,plain,
! [X12,X13] :
( ~ in(X12,X13)
| ~ in(X13,X12) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_4])]) ).
fof(i_0_7,plain,
! [X16,X17] :
( ~ in(X16,X17)
| subset(X16,union(X17)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l50_zfmisc_1])]) ).
fof(i_0_8,negated_conjecture,
( in(esk1_0,esk2_0)
& ~ subset(esk1_0,union(esk2_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_5])])]) ).
fof(i_0_9,plain,
! [X11] : subset(X11,X11),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[reflexivity_r1_tarski])]) ).
cnf(i_0_10,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_6]),
[final] ).
cnf(i_0_11,plain,
( subset(X1,union(X2))
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_7]),
[final] ).
cnf(i_0_12,negated_conjecture,
~ subset(esk1_0,union(esk2_0)),
inference(split_conjunct,[status(thm)],[i_0_8]),
[final] ).
cnf(i_0_13,plain,
subset(X1,X1),
inference(split_conjunct,[status(thm)],[i_0_9]),
[final] ).
cnf(i_0_14,negated_conjecture,
in(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[i_0_8]),
[final] ).
cnf(i_0_15,plain,
$false,
inference(scs_inference,[],[i_0_12,i_0_14,i_0_11]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SEU163+1 : TPTP v9.2.1. Released v3.3.0.
% 0.00/0.07 % 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
% 0.08/0.26 % Computer : n019.cluster.edu
% 0.08/0.26 % Model : x86_64 x86_64
% 0.08/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.26 % Memory : 8042.1875MB
% 0.08/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.26 % CPULimit : 300
% 0.08/0.26 % WCLimit : 300
% 0.08/0.26 % DateTime : Tue May 5 02:46:14 EDT 2026
% 0.08/0.26 % CPUTime :
% 0.08/0.27 % start to proof: theBenchmark
% 0.16/1.53 % Version : CSE_E---1.7
% 0.16/1.53 % Problem : theBenchmark.p
% 0.16/1.53 % SZS status Theorem for theBenchmark.p
% 0.16/1.53 % SZS output start CNFRefutation
% See solution above
% 0.16/1.55 % Total time : 1.266s
%------------------------------------------------------------------------------