%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SEU061+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 : n010.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 05:10:34 PM UTC 2026
% Result : Theorem 76.74s 50.02s
% Output : CNFRefutation 77.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of formulae : 73 ( 18 unt; 0 def)
% Number of atoms : 237 ( 61 equ)
% Maximal formula atoms : 26 ( 3 avg)
% Number of connectives : 273 ( 109 ~; 127 |; 19 &)
% ( 10 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 3 con; 0-4 aty)
% Number of variables : 166 ( 4 sgn 69 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d5_relat_1,axiom,
! [X1] :
( relation(X1)
=> ! [X2] :
( X2 = relation_rng(X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] : in(ordered_pair(X4,X3),X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_relat_1) ).
fof(d5_tarski,axiom,
! [X1,X2] : ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X2),singleton(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_tarski) ).
fof(d14_relat_1,axiom,
! [X1] :
( relation(X1)
=> ! [X2,X3] :
( X3 = relation_inverse_image(X1,X2)
<=> ! [X4] :
( in(X4,X3)
<=> ? [X5] :
( in(ordered_pair(X4,X5),X1)
& in(X5,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d14_relat_1) ).
fof(t142_funct_1,conjecture,
! [X1,X2] :
( relation(X2)
=> ( in(X1,relation_rng(X2))
<=> relation_inverse_image(X2,singleton(X1)) != empty_set ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t142_funct_1) ).
fof(commutativity_k2_tarski,axiom,
! [X1,X2] : unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
fof(d1_xboole_0,axiom,
! [X1] :
( X1 = empty_set
<=> ! [X2] : ~ in(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_xboole_0) ).
fof(d1_tarski,axiom,
! [X1,X2] :
( X2 = singleton(X1)
<=> ! [X3] :
( in(X3,X2)
<=> X3 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_tarski) ).
fof(rc1_subset_1,axiom,
! [X1] :
( ~ empty(X1)
=> ? [X2] :
( element(X2,powerset(X1))
& ~ empty(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_subset_1) ).
fof(t4_subset,axiom,
! [X1,X2,X3] :
( ( in(X1,X2)
& element(X2,powerset(X3)) )
=> element(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
fof(t2_subset,axiom,
! [X1,X2] :
( element(X1,X2)
=> ( empty(X2)
| in(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(existence_m1_subset_1,axiom,
! [X1] :
? [X2] : element(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(fc2_subset_1,axiom,
! [X1] : ~ empty(singleton(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_subset_1) ).
fof(c_0_12,plain,
! [X102,X103,X104,X106,X107,X108,X110] :
( ( ~ in(X104,X103)
| in(ordered_pair(esk6_3(X102,X103,X104),X104),X102)
| X103 != relation_rng(X102)
| ~ relation(X102) )
& ( ~ in(ordered_pair(X107,X106),X102)
| in(X106,X103)
| X103 != relation_rng(X102)
| ~ relation(X102) )
& ( ~ in(esk7_2(X102,X108),X108)
| ~ in(ordered_pair(X110,esk7_2(X102,X108)),X102)
| X108 = relation_rng(X102)
| ~ relation(X102) )
& ( in(esk7_2(X102,X108),X108)
| in(ordered_pair(esk8_2(X102,X108),esk7_2(X102,X108)),X102)
| X108 = relation_rng(X102)
| ~ relation(X102) ) ),
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)],[d5_relat_1])])])])])]) ).
fof(c_0_13,plain,
! [X112,X113] : ordered_pair(X112,X113) = unordered_pair(unordered_pair(X112,X113),singleton(X112)),
inference(variable_rename,[status(thm)],[d5_tarski]) ).
fof(c_0_14,plain,
! [X79,X80,X81,X82,X84,X85,X86,X87,X89] :
( ( in(ordered_pair(X82,esk1_4(X79,X80,X81,X82)),X79)
| ~ in(X82,X81)
| X81 != relation_inverse_image(X79,X80)
| ~ relation(X79) )
& ( in(esk1_4(X79,X80,X81,X82),X80)
| ~ in(X82,X81)
| X81 != relation_inverse_image(X79,X80)
| ~ relation(X79) )
& ( ~ in(ordered_pair(X84,X85),X79)
| ~ in(X85,X80)
| in(X84,X81)
| X81 != relation_inverse_image(X79,X80)
| ~ relation(X79) )
& ( ~ in(esk2_3(X79,X86,X87),X87)
| ~ in(ordered_pair(esk2_3(X79,X86,X87),X89),X79)
| ~ in(X89,X86)
| X87 = relation_inverse_image(X79,X86)
| ~ relation(X79) )
& ( in(ordered_pair(esk2_3(X79,X86,X87),esk3_3(X79,X86,X87)),X79)
| in(esk2_3(X79,X86,X87),X87)
| X87 = relation_inverse_image(X79,X86)
| ~ relation(X79) )
& ( in(esk3_3(X79,X86,X87),X86)
| in(esk2_3(X79,X86,X87),X87)
| X87 = relation_inverse_image(X79,X86)
| ~ relation(X79) ) ),
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)],[d14_relat_1])])])])])]) ).
fof(c_0_15,negated_conjecture,
~ ! [X1,X2] :
( relation(X2)
=> ( in(X1,relation_rng(X2))
<=> relation_inverse_image(X2,singleton(X1)) != empty_set ) ),
inference(assume_negation,[status(cth)],[t142_funct_1]) ).
cnf(c_0_16,plain,
( in(X2,X4)
| ~ in(ordered_pair(X1,X2),X3)
| X4 != relation_rng(X3)
| ~ relation(X3) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_17,plain,
ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X2),singleton(X1)),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_18,plain,
! [X77,X78] : unordered_pair(X77,X78) = unordered_pair(X78,X77),
inference(variable_rename,[status(thm)],[commutativity_k2_tarski]) ).
cnf(c_0_19,plain,
( in(ordered_pair(esk2_3(X1,X2,X3),esk3_3(X1,X2,X3)),X1)
| in(esk2_3(X1,X2,X3),X3)
| X3 = relation_inverse_image(X1,X2)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_20,plain,
! [X1] :
( X1 = empty_set
<=> ! [X2] : ~ in(X2,X1) ),
inference(fof_simplification,[status(thm)],[d1_xboole_0]) ).
fof(c_0_21,plain,
! [X91,X92,X93,X94,X95,X96] :
( ( ~ in(X93,X92)
| X93 = X91
| X92 != singleton(X91) )
& ( X94 != X91
| in(X94,X92)
| X92 != singleton(X91) )
& ( ~ in(esk4_2(X95,X96),X96)
| esk4_2(X95,X96) != X95
| X96 = singleton(X95) )
& ( in(esk4_2(X95,X96),X96)
| esk4_2(X95,X96) = X95
| X96 = singleton(X95) ) ),
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)],[d1_tarski])])])])])]) ).
fof(c_0_22,negated_conjecture,
( relation(esk21_0)
& ( ~ in(esk20_0,relation_rng(esk21_0))
| relation_inverse_image(esk21_0,singleton(esk20_0)) = empty_set )
& ( in(esk20_0,relation_rng(esk21_0))
| relation_inverse_image(esk21_0,singleton(esk20_0)) != empty_set ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])]) ).
cnf(c_0_23,plain,
( in(X1,X5)
| ~ in(ordered_pair(X1,X2),X3)
| ~ in(X2,X4)
| X5 != relation_inverse_image(X3,X4)
| ~ relation(X3) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_24,plain,
( in(X2,X4)
| X4 != relation_rng(X3)
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3) ),
inference(rw,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_25,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_26,plain,
( X3 = relation_inverse_image(X1,X2)
| in(esk2_3(X1,X2,X3),X3)
| in(unordered_pair(unordered_pair(esk2_3(X1,X2,X3),esk3_3(X1,X2,X3)),singleton(esk2_3(X1,X2,X3))),X1)
| ~ relation(X1) ),
inference(rw,[status(thm)],[c_0_19,c_0_17]) ).
fof(c_0_27,plain,
! [X98,X99,X100] :
( ( X98 != empty_set
| ~ in(X99,X98) )
& ( in(esk5_1(X100),X100)
| X100 = empty_set ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])])])]) ).
cnf(c_0_28,plain,
( X1 = X3
| ~ in(X1,X2)
| X2 != singleton(X3) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_29,plain,
( in(esk3_3(X1,X2,X3),X2)
| in(esk2_3(X1,X2,X3),X3)
| X3 = relation_inverse_image(X1,X2)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_30,negated_conjecture,
relation(esk21_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_31,plain,
! [X1] :
( ~ empty(X1)
=> ? [X2] :
( element(X2,powerset(X1))
& ~ empty(X2) ) ),
inference(fof_simplification,[status(thm)],[rc1_subset_1]) ).
cnf(c_0_32,plain,
( in(X1,X5)
| X5 != relation_inverse_image(X3,X4)
| ~ relation(X3)
| ~ in(X2,X4)
| ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3) ),
inference(rw,[status(thm)],[c_0_23,c_0_17]) ).
cnf(c_0_33,plain,
( in(ordered_pair(esk6_3(X3,X2,X1),X1),X3)
| ~ in(X1,X2)
| X2 != relation_rng(X3)
| ~ relation(X3) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_34,plain,
( in(X1,relation_rng(X2))
| ~ relation(X2)
| ~ in(unordered_pair(singleton(X3),unordered_pair(X3,X1)),X2) ),
inference(er,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_25])]) ).
cnf(c_0_35,plain,
( X1 = relation_inverse_image(X2,X3)
| in(unordered_pair(singleton(esk2_3(X2,X3,X1)),unordered_pair(esk2_3(X2,X3,X1),esk3_3(X2,X3,X1))),X2)
| in(esk2_3(X2,X3,X1),X1)
| ~ relation(X2) ),
inference(rw,[status(thm)],[c_0_26,c_0_25]) ).
cnf(c_0_36,plain,
( X1 != empty_set
| ~ in(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_37,plain,
( X1 = X2
| ~ in(X1,singleton(X2)) ),
inference(er,[status(thm)],[c_0_28]) ).
cnf(c_0_38,negated_conjecture,
( X1 = relation_inverse_image(esk21_0,X2)
| in(esk3_3(esk21_0,X2,X1),X2)
| in(esk2_3(esk21_0,X2,X1),X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
fof(c_0_39,plain,
! [X145,X146,X147] :
( ~ in(X145,X146)
| ~ element(X146,powerset(X147))
| element(X145,X147) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])]) ).
fof(c_0_40,plain,
! [X126] :
( ( element(esk12_1(X126),powerset(X126))
| empty(X126) )
& ( ~ empty(esk12_1(X126))
| empty(X126) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])])]) ).
fof(c_0_41,plain,
! [X141,X142] :
( ~ element(X141,X142)
| empty(X142)
| in(X141,X142) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
fof(c_0_42,plain,
! [X114] : element(esk9_1(X114),X114),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_subset_1])]) ).
cnf(c_0_43,plain,
( in(X1,relation_inverse_image(X2,X3))
| ~ relation(X2)
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X4)),X2)
| ~ in(X4,X3) ),
inference(er,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_25])]) ).
cnf(c_0_44,plain,
( in(unordered_pair(unordered_pair(esk6_3(X3,X2,X1),X1),singleton(esk6_3(X3,X2,X1))),X3)
| X2 != relation_rng(X3)
| ~ relation(X3)
| ~ in(X1,X2) ),
inference(rw,[status(thm)],[c_0_33,c_0_17]) ).
cnf(c_0_45,plain,
( X1 = relation_inverse_image(X2,X3)
| in(esk3_3(X2,X3,X1),relation_rng(X2))
| in(esk2_3(X2,X3,X1),X1)
| ~ relation(X2) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_46,plain,
~ in(X1,empty_set),
inference(er,[status(thm)],[c_0_36]) ).
cnf(c_0_47,negated_conjecture,
( esk3_3(esk21_0,singleton(X1),X2) = X1
| X2 = relation_inverse_image(esk21_0,singleton(X1))
| in(esk2_3(esk21_0,singleton(X1),X2),X2) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_48,plain,
( element(X1,X3)
| ~ in(X1,X2)
| ~ element(X2,powerset(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_49,plain,
( element(esk12_1(X1),powerset(X1))
| empty(X1) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_50,plain,
( empty(X2)
| in(X1,X2)
| ~ element(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_51,plain,
element(esk9_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_52,plain,
( in(X1,relation_inverse_image(X2,X3))
| ~ relation(X2)
| ~ in(unordered_pair(singleton(X1),unordered_pair(X4,X1)),X2)
| ~ in(X4,X3) ),
inference(spm,[status(thm)],[c_0_43,c_0_25]) ).
cnf(c_0_53,plain,
( in(unordered_pair(singleton(esk6_3(X1,relation_rng(X1),X2)),unordered_pair(X2,esk6_3(X1,relation_rng(X1),X2))),X1)
| ~ relation(X1)
| ~ in(X2,relation_rng(X1)) ),
inference(er,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_25]),c_0_25])]) ).
cnf(c_0_54,negated_conjecture,
( X1 = relation_inverse_image(esk21_0,X2)
| in(esk3_3(esk21_0,X2,X1),relation_rng(esk21_0))
| in(esk2_3(esk21_0,X2,X1),X1) ),
inference(spm,[status(thm)],[c_0_45,c_0_30]) ).
cnf(c_0_55,negated_conjecture,
( esk3_3(esk21_0,singleton(X1),empty_set) = X1
| relation_inverse_image(esk21_0,singleton(X1)) = empty_set ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_56,plain,
( element(X1,X2)
| empty(X2)
| ~ in(X1,esk12_1(X2)) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_57,plain,
( empty(X1)
| in(esk9_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_58,plain,
( empty(X1)
| ~ empty(esk12_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
fof(c_0_59,plain,
! [X1] : ~ empty(singleton(X1)),
inference(fof_simplification,[status(thm)],[fc2_subset_1]) ).
cnf(c_0_60,plain,
( in(esk6_3(X1,relation_rng(X1),X2),relation_inverse_image(X1,X3))
| ~ relation(X1)
| ~ in(X2,relation_rng(X1))
| ~ in(X2,X3) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_61,negated_conjecture,
( relation_inverse_image(esk21_0,singleton(esk20_0)) = empty_set
| ~ in(esk20_0,relation_rng(esk21_0)) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_62,negated_conjecture,
( in(esk20_0,relation_rng(esk21_0))
| relation_inverse_image(esk21_0,singleton(esk20_0)) != empty_set ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_63,negated_conjecture,
( relation_inverse_image(esk21_0,singleton(X1)) = empty_set
| in(X1,relation_rng(esk21_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_46]) ).
cnf(c_0_64,plain,
( element(esk9_1(esk12_1(X1)),X1)
| empty(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58]) ).
fof(c_0_65,plain,
! [X119] : ~ empty(singleton(X119)),
inference(variable_rename,[status(thm)],[c_0_59]) ).
cnf(c_0_66,negated_conjecture,
( ~ in(esk20_0,relation_rng(esk21_0))
| ~ in(X1,relation_rng(esk21_0))
| ~ in(X1,singleton(esk20_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_30])]),c_0_46]) ).
cnf(c_0_67,negated_conjecture,
in(esk20_0,relation_rng(esk21_0)),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_68,plain,
( empty(X1)
| in(esk9_1(esk12_1(X1)),X1) ),
inference(spm,[status(thm)],[c_0_50,c_0_64]) ).
cnf(c_0_69,plain,
~ empty(singleton(X1)),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_70,negated_conjecture,
( ~ in(X1,relation_rng(esk21_0))
| ~ in(X1,singleton(esk20_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_67])]) ).
cnf(c_0_71,plain,
esk9_1(esk12_1(singleton(X1))) = X1,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_68]),c_0_69]) ).
cnf(c_0_72,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_68]),c_0_71]),c_0_67])]),c_0_69]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU061+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
% 0.12/0.32 % Computer : n010.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Tue May 5 02:42:06 EDT 2026
% 0.12/0.32 % CPUTime :
% 0.12/0.33 % start to proof: theBenchmark
% 76.74/50.02 % Version : CSE_E---1.7
% 76.74/50.02 % Problem : theBenchmark.p
% 76.74/50.02 % SZS status Theorem for theBenchmark.p
% 76.74/50.02 % SZS output start CNFRefutation
% See solution above
% 77.02/50.30 % Total time : 39.735s
%------------------------------------------------------------------------------