%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : CSR109+7 : TPTP v9.2.1. Bugfixed v7.3.0.
% 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 : n018.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 04:15:24 PM UTC 2026
% Result : Theorem 29.85s 29.86s
% Output : CNFRefutation 29.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 21 ( 12 unt; 0 def)
% Number of atoms : 85 ( 16 equ)
% Maximal formula atoms : 45 ( 4 avg)
% Number of connectives : 100 ( 36 ~; 42 |; 18 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 44 ( 16 sgn 20 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_from_SUMO_MILO,conjecture,
? [X2351] : s__instance(X2351,s__Reptile),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_from_SUMO_MILO) ).
fof(kb_SUMO_32603,axiom,
! [X137,X12,X136] :
( X12 = s__UnionFn(X136,X137)
<=> ! [X1138,X34,X1139] :
( ( s__instance(X136,s__SetOrClass)
& s__instance(X12,s__SetOrClass)
& s__instance(X137,s__SetOrClass) )
=> ( ( s__instance(X1138,X136)
& s__instance(X34,X137)
& s__instance(X1139,X12) )
=> ( s__instance(X1138,X12)
& s__instance(X34,X12)
& ( s__instance(X1139,X136)
| s__instance(X1139,X137) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR003+2.ax',kb_SUMO_32603) ).
fof(kb_SUMO_26635,axiom,
! [X1,X15] :
( s__subclass(X1,X15)
=> ( s__instance(X1,s__SetOrClass)
& s__instance(X15,s__SetOrClass) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR003+2.ax',kb_SUMO_26635) ).
fof(kb_SUMO_39530,axiom,
s__subclass(s__Snake,s__Reptile),
file('/export/starexec/sandbox/benchmark/Axioms/CSR003+2.ax',kb_SUMO_39530) ).
fof(c_0_4,negated_conjecture,
~ ? [X2351] : s__instance(X2351,s__Reptile),
inference(assume_negation,[status(cth)],[prove_from_SUMO_MILO]) ).
fof(c_0_5,negated_conjecture,
! [X2703] : ~ s__instance(X2703,s__Reptile),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])]) ).
fof(c_0_6,plain,
! [X2852,X2853,X2854,X2855,X2856,X2857,X2858,X2859,X2860] :
( ( s__instance(X2855,X2853)
| ~ s__instance(X2855,X2854)
| ~ s__instance(X2856,X2852)
| ~ s__instance(X2857,X2853)
| ~ s__instance(X2854,s__SetOrClass)
| ~ s__instance(X2853,s__SetOrClass)
| ~ s__instance(X2852,s__SetOrClass)
| X2853 != s__UnionFn(X2854,X2852) )
& ( s__instance(X2856,X2853)
| ~ s__instance(X2855,X2854)
| ~ s__instance(X2856,X2852)
| ~ s__instance(X2857,X2853)
| ~ s__instance(X2854,s__SetOrClass)
| ~ s__instance(X2853,s__SetOrClass)
| ~ s__instance(X2852,s__SetOrClass)
| X2853 != s__UnionFn(X2854,X2852) )
& ( s__instance(X2857,X2854)
| s__instance(X2857,X2852)
| ~ s__instance(X2855,X2854)
| ~ s__instance(X2856,X2852)
| ~ s__instance(X2857,X2853)
| ~ s__instance(X2854,s__SetOrClass)
| ~ s__instance(X2853,s__SetOrClass)
| ~ s__instance(X2852,s__SetOrClass)
| X2853 != s__UnionFn(X2854,X2852) )
& ( s__instance(X2860,s__SetOrClass)
| X2859 = s__UnionFn(X2860,X2858) )
& ( s__instance(X2859,s__SetOrClass)
| X2859 = s__UnionFn(X2860,X2858) )
& ( s__instance(X2858,s__SetOrClass)
| X2859 = s__UnionFn(X2860,X2858) )
& ( s__instance(esk6_3(X2858,X2859,X2860),X2860)
| X2859 = s__UnionFn(X2860,X2858) )
& ( s__instance(esk7_3(X2858,X2859,X2860),X2858)
| X2859 = s__UnionFn(X2860,X2858) )
& ( s__instance(esk8_3(X2858,X2859,X2860),X2859)
| X2859 = s__UnionFn(X2860,X2858) )
& ( ~ s__instance(esk8_3(X2858,X2859,X2860),X2860)
| ~ s__instance(esk6_3(X2858,X2859,X2860),X2859)
| ~ s__instance(esk7_3(X2858,X2859,X2860),X2859)
| X2859 = s__UnionFn(X2860,X2858) )
& ( ~ s__instance(esk8_3(X2858,X2859,X2860),X2858)
| ~ s__instance(esk6_3(X2858,X2859,X2860),X2859)
| ~ s__instance(esk7_3(X2858,X2859,X2860),X2859)
| X2859 = s__UnionFn(X2860,X2858) ) ),
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)],[kb_SUMO_32603])])])])])]) ).
cnf(c_0_7,negated_conjecture,
~ s__instance(X1,s__Reptile),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,plain,
( s__instance(X1,s__SetOrClass)
| X2 = s__UnionFn(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_9,plain,
! [X2771,X2772] :
( ( s__instance(X2771,s__SetOrClass)
| ~ s__subclass(X2771,X2772) )
& ( s__instance(X2772,s__SetOrClass)
| ~ s__subclass(X2771,X2772) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_26635])])]) ).
cnf(c_0_10,plain,
( s__instance(esk6_3(X1,X2,X3),X3)
| X2 = s__UnionFn(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,negated_conjecture,
( s__instance(X1,s__SetOrClass)
| ~ s__instance(X2,s__UnionFn(X3,X1)) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_12,plain,
( s__instance(X1,s__SetOrClass)
| ~ s__subclass(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,plain,
s__subclass(s__Snake,s__Reptile),
inference(split_conjunct,[status(thm)],[kb_SUMO_39530]) ).
cnf(c_0_14,negated_conjecture,
X1 = s__UnionFn(s__Reptile,X2),
inference(spm,[status(thm)],[c_0_7,c_0_10]) ).
cnf(c_0_15,negated_conjecture,
( s__instance(X1,s__SetOrClass)
| ~ s__instance(X2,X3) ),
inference(spm,[status(thm)],[c_0_11,c_0_8]) ).
cnf(c_0_16,plain,
s__instance(s__Snake,s__SetOrClass),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,negated_conjecture,
X1 = X2,
inference(spm,[status(thm)],[c_0_14,c_0_14]) ).
cnf(c_0_18,negated_conjecture,
s__instance(X1,s__SetOrClass),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,negated_conjecture,
~ s__instance(X1,X2),
inference(spm,[status(thm)],[c_0_7,c_0_17]) ).
cnf(c_0_20,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_18,c_0_19]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : CSR109+7 : TPTP v9.2.1. Bugfixed v7.3.0.
% 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
% 0.14/0.32 % Computer : n018.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Mon May 4 17:03:17 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 29.85/29.86 % Version : CSE_E---1.7
% 29.85/29.86 % Problem : theBenchmark.p
% 29.85/29.86 % SZS status Theorem for theBenchmark.p
% 29.85/29.86 % SZS output start CNFRefutation
% See solution above
% 29.85/29.86 % Total time : 29.470s
%------------------------------------------------------------------------------