%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : HAL002+1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:45:14 PM UTC 2026
% Result : Theorem 0.13s 0.50s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 11
% Syntax : Number of formulae : 79 ( 8 unt; 0 def)
% Number of atoms : 239 ( 65 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 257 ( 97 ~; 122 |; 21 &)
% ( 2 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 143 ( 9 sgn 67 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(subtract_in_domain,axiom,
! [X2,X5,X6] :
( ( element(X6,X2)
& element(X5,X2) )
=> element(subtract(X2,X5,X6),X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HAL001+0.ax',subtract_in_domain) ).
fof(subtract_to_0,axiom,
! [X2,X4] :
( element(X4,X2)
=> subtract(X2,X4,X4) = zero(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HAL001+0.ax',subtract_to_0) ).
fof(morphism,axiom,
! [X1,X2,X3] :
( morphism(X1,X2,X3)
=> ( apply(X1,zero(X2)) = zero(X3)
& ! [X4] :
( element(X4,X2)
=> element(apply(X1,X4),X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HAL001+0.ax',morphism) ).
fof(properties_for_injection_2,axiom,
! [X1,X2,X3] :
( ( ! [X4] :
( ( apply(X1,X4) = zero(X3)
& element(X4,X2) )
=> X4 = zero(X2) )
& morphism(X1,X2,X3) )
=> injection_2(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',properties_for_injection_2) ).
fof(properties_for_injection,axiom,
! [X1,X2,X3] :
( ( ! [X5,X6] :
( ( apply(X1,X5) = apply(X1,X6)
& element(X6,X2)
& element(X5,X2) )
=> X5 = X6 )
& morphism(X1,X2,X3) )
=> injection(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HAL001+0.ax',properties_for_injection) ).
fof(x_morphism,hypothesis,
morphism(x,any1,any2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_morphism) ).
fof(my,conjecture,
( injection(x)
<=> injection_2(x) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',my) ).
fof(subtract_distribution,axiom,
! [X1,X2,X3] :
( morphism(X1,X2,X3)
=> ! [X5,X6] :
( ( element(X6,X2)
& element(X5,X2) )
=> apply(X1,subtract(X2,X5,X6)) = subtract(X3,apply(X1,X5),apply(X1,X6)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HAL001+0.ax',subtract_distribution) ).
fof(subtract_cancellation,axiom,
! [X2,X5,X6] :
( ( element(X6,X2)
& element(X5,X2) )
=> subtract(X2,X5,subtract(X2,X5,X6)) = X6 ),
file('/export/starexec/sandbox2/benchmark/Axioms/HAL001+0.ax',subtract_cancellation) ).
fof(injection_properties_2,axiom,
! [X1,X2,X3] :
( ( morphism(X1,X2,X3)
& injection_2(X1) )
=> ! [X4] :
( ( apply(X1,X4) = zero(X3)
& element(X4,X2) )
=> X4 = zero(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',injection_properties_2) ).
fof(injection_properties,axiom,
! [X1,X2,X3] :
( ( morphism(X1,X2,X3)
& injection(X1) )
=> ! [X5,X6] :
( ( apply(X1,X5) = apply(X1,X6)
& element(X6,X2)
& element(X5,X2) )
=> X5 = X6 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HAL001+0.ax',injection_properties) ).
fof(c_0_11,plain,
! [X65,X66,X67] :
( element(subtract(X65,X66,X67),X65)
| ~ element(X67,X65)
| ~ element(X66,X65) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[subtract_in_domain])])]) ).
fof(c_0_12,plain,
! [X58,X59] :
( subtract(X58,X59,X59) = zero(X58)
| ~ element(X59,X58) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[subtract_to_0])])]) ).
fof(c_0_13,plain,
! [X37,X38,X39,X40] :
( ( ~ morphism(X37,X38,X39)
| apply(X37,zero(X38)) = zero(X39) )
& ( ~ morphism(X37,X38,X39)
| element(apply(X37,X40),X39)
| ~ element(X40,X38) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[morphism])])])])]) ).
cnf(c_0_14,plain,
( ~ element(X3,X2)
| ~ element(X1,X2)
| element(subtract(X2,X1,X3),X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_15,plain,
( ~ element(X1,X2)
| subtract(X2,X1,X1) = zero(X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_16,plain,
! [X23,X24,X25] :
( ( injection_2(X23)
| ~ morphism(X23,X24,X25)
| esk1_3(X23,X24,X25) != zero(X24) )
& ( injection_2(X23)
| ~ morphism(X23,X24,X25)
| apply(X23,esk1_3(X23,X24,X25)) = zero(X25) )
& ( injection_2(X23)
| ~ morphism(X23,X24,X25)
| element(esk1_3(X23,X24,X25),X24) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[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)],[properties_for_injection_2])])])])])])]) ).
fof(c_0_17,plain,
! [X32,X33,X34] :
( ( injection(X32)
| ~ morphism(X32,X33,X34)
| esk2_2(X32,X33) != esk3_2(X32,X33) )
& ( injection(X32)
| ~ morphism(X32,X33,X34)
| apply(X32,esk2_2(X32,X33)) = apply(X32,esk3_2(X32,X33)) )
& ( injection(X32)
| ~ morphism(X32,X33,X34)
| element(esk3_2(X32,X33),X33) )
& ( injection(X32)
| ~ morphism(X32,X33,X34)
| element(esk2_2(X32,X33),X33) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[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)],[properties_for_injection])])])])])])]) ).
cnf(c_0_18,plain,
( ~ morphism(X3,X2,X4)
| ~ element(X1,X2)
| element(apply(X3,X1),X4) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,hypothesis,
morphism(x,any1,any2),
inference(split_conjunct,[status(thm)],[x_morphism]) ).
fof(c_0_20,negated_conjecture,
~ ( injection(x)
<=> injection_2(x) ),
inference(assume_negation,[status(cth)],[my]) ).
cnf(c_0_21,plain,
( ~ element(X2,X1)
| element(zero(X1),X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_22,plain,
( ~ morphism(X1,X2,X3)
| injection_2(X1)
| element(esk1_3(X1,X2,X3),X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23,plain,
( ~ morphism(X1,X2,X3)
| injection(X1)
| element(esk3_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_24,hypothesis,
( ~ element(X1,any1)
| element(apply(x,X1),any2) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
fof(c_0_25,plain,
! [X60,X61,X62,X63,X64] :
( apply(X60,subtract(X61,X63,X64)) = subtract(X62,apply(X60,X63),apply(X60,X64))
| ~ element(X64,X61)
| ~ element(X63,X61)
| ~ morphism(X60,X61,X62) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[subtract_distribution])])])]) ).
fof(c_0_26,negated_conjecture,
( ( injection_2(x)
| injection(x) )
& ( ~ injection_2(x)
| ~ injection(x) ) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])]) ).
cnf(c_0_27,plain,
( ~ morphism(X1,X2,X3)
| element(zero(X2),X2)
| injection_2(X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_28,hypothesis,
( element(esk3_2(x,any1),any1)
| injection(x) ),
inference(spm,[status(thm)],[c_0_23,c_0_19]) ).
cnf(c_0_29,hypothesis,
( ~ element(X1,any1)
| element(zero(any2),any2) ),
inference(spm,[status(thm)],[c_0_21,c_0_24]) ).
cnf(c_0_30,plain,
( ~ element(X5,X2)
| ~ element(X4,X2)
| ~ morphism(X1,X2,X3)
| apply(X1,subtract(X2,X4,X5)) = subtract(X3,apply(X1,X4),apply(X1,X5)) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_31,plain,
( ~ morphism(X1,X2,X3)
| apply(X1,zero(X2)) = zero(X3) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_32,negated_conjecture,
( ~ injection_2(x)
| ~ injection(x) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_33,hypothesis,
( element(zero(any1),any1)
| injection_2(x) ),
inference(spm,[status(thm)],[c_0_27,c_0_19]) ).
cnf(c_0_34,hypothesis,
( element(zero(any1),any1)
| injection(x) ),
inference(spm,[status(thm)],[c_0_21,c_0_28]) ).
cnf(c_0_35,hypothesis,
( ~ morphism(X1,any1,X2)
| element(zero(any2),any2)
| injection_2(X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_22]) ).
fof(c_0_36,plain,
! [X68,X69,X70] :
( subtract(X68,X69,subtract(X68,X69,X70)) = X70
| ~ element(X70,X68)
| ~ element(X69,X68) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[subtract_cancellation])])]) ).
cnf(c_0_37,hypothesis,
( ~ element(X1,any1)
| ~ element(X2,any1)
| subtract(any2,apply(x,X1),apply(x,X2)) = apply(x,subtract(any1,X1,X2)) ),
inference(spm,[status(thm)],[c_0_30,c_0_19]) ).
cnf(c_0_38,hypothesis,
apply(x,zero(any1)) = zero(any2),
inference(spm,[status(thm)],[c_0_31,c_0_19]) ).
cnf(c_0_39,negated_conjecture,
element(zero(any1),any1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]) ).
cnf(c_0_40,plain,
( ~ morphism(X1,X2,X3)
| injection(X1)
| apply(X1,esk2_2(X1,X2)) = apply(X1,esk3_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_41,hypothesis,
( element(zero(any2),any2)
| injection_2(x) ),
inference(spm,[status(thm)],[c_0_35,c_0_19]) ).
cnf(c_0_42,hypothesis,
( element(zero(any2),any2)
| injection(x) ),
inference(spm,[status(thm)],[c_0_29,c_0_28]) ).
cnf(c_0_43,plain,
( ~ element(X3,X2)
| ~ element(X1,X2)
| subtract(X2,X1,subtract(X2,X1,X3)) = X3 ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_44,hypothesis,
( ~ element(X1,any1)
| subtract(any2,apply(x,X1),zero(any2)) = apply(x,subtract(any1,X1,zero(any1))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39])]) ).
cnf(c_0_45,hypothesis,
( injection(x)
| apply(x,esk3_2(x,any1)) = apply(x,esk2_2(x,any1)) ),
inference(spm,[status(thm)],[c_0_40,c_0_19]) ).
fof(c_0_46,plain,
! [X19,X20,X21,X22] :
( X22 = zero(X20)
| apply(X19,X22) != zero(X21)
| ~ element(X22,X20)
| ~ morphism(X19,X20,X21)
| ~ injection_2(X19) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[injection_properties_2])])])]) ).
cnf(c_0_47,negated_conjecture,
element(zero(any2),any2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_41]),c_0_42]) ).
cnf(c_0_48,plain,
( ~ element(X2,X1)
| subtract(X1,X2,zero(X1)) = X2 ),
inference(spm,[status(thm)],[c_0_43,c_0_15]) ).
cnf(c_0_49,hypothesis,
( injection(x)
| subtract(any2,apply(x,esk2_2(x,any1)),zero(any2)) = apply(x,subtract(any1,esk3_2(x,any1),zero(any1))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_28]) ).
cnf(c_0_50,hypothesis,
( element(apply(x,esk2_2(x,any1)),any2)
| injection(x) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_45]),c_0_28]) ).
cnf(c_0_51,plain,
( apply(X1,X4) != zero(X3)
| ~ element(X4,X2)
| ~ morphism(X1,X2,X3)
| ~ injection_2(X1)
| X4 = zero(X2) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_52,hypothesis,
( ~ element(X1,any1)
| subtract(any2,apply(x,X1),apply(x,subtract(any1,X1,zero(any1)))) = zero(any2) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_47])]),c_0_24]) ).
cnf(c_0_53,hypothesis,
( injection(x)
| apply(x,subtract(any1,esk3_2(x,any1),zero(any1))) = apply(x,esk2_2(x,any1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50]) ).
cnf(c_0_54,plain,
( ~ morphism(X1,X2,X3)
| injection(X1)
| element(esk2_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_55,hypothesis,
( ~ element(X1,any1)
| ~ injection_2(x)
| apply(x,X1) != zero(any2)
| X1 = zero(any1) ),
inference(spm,[status(thm)],[c_0_51,c_0_19]) ).
cnf(c_0_56,negated_conjecture,
( injection_2(x)
| injection(x) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_57,hypothesis,
( injection(x)
| subtract(any2,apply(x,esk3_2(x,any1)),apply(x,esk2_2(x,any1))) = zero(any2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_28]) ).
cnf(c_0_58,hypothesis,
( element(esk2_2(x,any1),any1)
| injection(x) ),
inference(spm,[status(thm)],[c_0_54,c_0_19]) ).
cnf(c_0_59,negated_conjecture,
( ~ element(X1,any1)
| apply(x,X1) != zero(any2)
| injection(x)
| X1 = zero(any1) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_60,hypothesis,
( injection(x)
| apply(x,subtract(any1,esk3_2(x,any1),esk2_2(x,any1))) = zero(any2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_57]),c_0_28]),c_0_58]) ).
cnf(c_0_61,negated_conjecture,
( ~ element(subtract(any1,esk3_2(x,any1),esk2_2(x,any1)),any1)
| injection(x)
| subtract(any1,esk3_2(x,any1),esk2_2(x,any1)) = zero(any1) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
fof(c_0_62,plain,
! [X27,X28,X29,X30,X31] :
( X30 = X31
| apply(X27,X30) != apply(X27,X31)
| ~ element(X31,X28)
| ~ element(X30,X28)
| ~ morphism(X27,X28,X29)
| ~ injection(X27) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[injection_properties])])])]) ).
cnf(c_0_63,negated_conjecture,
( injection(x)
| subtract(any1,esk3_2(x,any1),esk2_2(x,any1)) = zero(any1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_14]),c_0_28]),c_0_58]) ).
cnf(c_0_64,plain,
( ~ morphism(X1,X2,X3)
| esk2_2(X1,X2) != esk3_2(X1,X2)
| injection(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_65,plain,
( apply(X1,X4) != apply(X1,X5)
| ~ element(X5,X2)
| ~ element(X4,X2)
| ~ morphism(X1,X2,X3)
| ~ injection(X1)
| X4 = X5 ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_66,negated_conjecture,
( injection(x)
| subtract(any1,esk3_2(x,any1),zero(any1)) = esk2_2(x,any1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_63]),c_0_28]),c_0_58]) ).
cnf(c_0_67,hypothesis,
( esk3_2(x,any1) != esk2_2(x,any1)
| injection(x) ),
inference(spm,[status(thm)],[c_0_64,c_0_19]) ).
cnf(c_0_68,hypothesis,
( ~ element(X1,any1)
| ~ element(X2,any1)
| ~ injection(x)
| apply(x,X1) != apply(x,X2)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_65,c_0_19]) ).
cnf(c_0_69,negated_conjecture,
injection(x),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_66]),c_0_28]),c_0_67]) ).
cnf(c_0_70,hypothesis,
( ~ element(X1,any1)
| ~ element(X2,any1)
| apply(x,X1) != apply(x,X2)
| X1 = X2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_69])]) ).
cnf(c_0_71,hypothesis,
( ~ element(X1,any1)
| apply(x,X1) != zero(any2)
| X1 = zero(any1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_38]),c_0_39])]) ).
cnf(c_0_72,plain,
( ~ morphism(X1,X2,X3)
| injection_2(X1)
| apply(X1,esk1_3(X1,X2,X3)) = zero(X3) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_73,negated_conjecture,
~ injection_2(x),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_69])]) ).
cnf(c_0_74,hypothesis,
( ~ morphism(x,X1,X2)
| ~ element(esk1_3(x,X1,X2),any1)
| zero(X2) != zero(any2)
| esk1_3(x,X1,X2) = zero(any1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_73]) ).
cnf(c_0_75,plain,
( ~ morphism(X1,X2,X3)
| esk1_3(X1,X2,X3) != zero(X2)
| injection_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_76,hypothesis,
( ~ morphism(x,any1,X1)
| zero(X1) != zero(any2)
| esk1_3(x,any1,X1) = zero(any1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_22]),c_0_73]) ).
cnf(c_0_77,hypothesis,
( ~ morphism(x,any1,X1)
| zero(X1) != zero(any2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_73]) ).
cnf(c_0_78,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_77]),c_0_19])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HAL002+1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.35 % Computer : n003.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 20:46:15 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.43 Running first-order theorem proving
% 0.13/0.44 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.50 % Version: 3.5.1
% 0.13/0.50 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.13/0.50 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.50 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.13/0.50 % Starting new_bool_3 with 300s (1) cores
% 0.13/0.50 % Starting new_bool_1 with 300s (1) cores
% 0.13/0.50 % Starting sh5l with 300s (1) cores
% 0.13/0.50 % sh5l with pid 2575094 completed with status 0
% 0.13/0.50 % Result found by sh5l
% 0.13/0.50 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.13/0.50 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.50 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.13/0.50 % Starting new_bool_3 with 300s (1) cores
% 0.13/0.50 % Starting new_bool_1 with 300s (1) cores
% 0.13/0.50 % Starting sh5l with 300s (1) cores
% 0.13/0.50 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.13/0.50 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.13/0.50 % Search class: FGHSF-FFMF33-SFFFFFNN
% 0.13/0.50 % partial match(1): FGHSF-FFMF31-SFFFFFNN
% 0.13/0.50 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.13/0.50 % Starting SubtermCWHack with 28s (1) cores
% 0.13/0.50 % SubtermCWHack with pid 2575098 completed with status 0
% 0.13/0.50 % Result found by SubtermCWHack
% 0.13/0.50 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.13/0.50 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.50 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.13/0.50 % Starting new_bool_3 with 300s (1) cores
% 0.13/0.50 % Starting new_bool_1 with 300s (1) cores
% 0.13/0.50 % Starting sh5l with 300s (1) cores
% 0.13/0.50 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.13/0.50 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.13/0.50 % Search class: FGHSF-FFMF33-SFFFFFNN
% 0.13/0.50 % partial match(1): FGHSF-FFMF31-SFFFFFNN
% 0.13/0.50 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.13/0.50 % Starting SubtermCWHack with 28s (1) cores
% 0.13/0.50 % Preprocessing time : 0.002 s
% 0.13/0.50
% 0.13/0.50 % Proof found!
% 0.13/0.50 % SZS status Theorem
% 0.13/0.50 % SZS output start CNFRefutation
% See solution above
% 0.13/0.50 % Parsed axioms : 17
% 0.13/0.50 % Removed by relevancy pruning/SinE : 4
% 0.13/0.50 % Initial clauses : 27
% 0.13/0.50 % Removed in clause preprocessing : 0
% 0.13/0.50 % Initial clauses in saturation : 27
% 0.13/0.50 % Processed clauses : 164
% 0.13/0.50 % ...of these trivial : 0
% 0.13/0.50 % ...subsumed : 58
% 0.13/0.50 % ...remaining for further processing : 106
% 0.13/0.50 % Other redundant clauses eliminated : 6
% 0.13/0.50 % Clauses deleted for lack of memory : 0
% 0.13/0.50 % Backward-subsumed : 7
% 0.13/0.50 % Backward-rewritten : 28
% 0.13/0.50 % Generated clauses : 444
% 0.13/0.50 % ...of the previous two non-redundant : 299
% 0.13/0.50 % ...aggressively subsumed : 0
% 0.13/0.50 % Contextual simplify-reflections : 27
% 0.13/0.50 % Paramodulations : 436
% 0.13/0.50 % Factorizations : 0
% 0.13/0.50 % NegExts : 0
% 0.13/0.50 % Equation resolutions : 8
% 0.13/0.50 % Disequality decompositions : 0
% 0.13/0.50 % Total rewrite steps : 383
% 0.13/0.50 % ...of those cached : 375
% 0.13/0.50 % Propositional unsat checks : 0
% 0.13/0.50 % Propositional check models : 0
% 0.13/0.50 % Propositional check unsatisfiable : 0
% 0.13/0.50 % Propositional clauses : 0
% 0.13/0.50 % Propositional clauses after purity: 0
% 0.13/0.50 % Propositional unsat core size : 0
% 0.13/0.50 % Propositional preprocessing time : 0.000
% 0.13/0.50 % Propositional encoding time : 0.000
% 0.13/0.50 % Propositional solver time : 0.000
% 0.13/0.50 % Success case prop preproc time : 0.000
% 0.13/0.50 % Success case prop encoding time : 0.000
% 0.13/0.50 % Success case prop solver time : 0.000
% 0.13/0.50 % Current number of processed clauses : 69
% 0.13/0.50 % Positive orientable unit clauses : 7
% 0.13/0.50 % Positive unorientable unit clauses: 0
% 0.13/0.50 % Negative unit clauses : 1
% 0.13/0.50 % Non-unit-clauses : 61
% 0.13/0.50 % Current number of unprocessed clauses: 153
% 0.13/0.50 % ...number of literals in the above : 674
% 0.13/0.50 % Current number of archived formulas : 0
% 0.13/0.50 % Current number of archived clauses : 35
% 0.13/0.50 % Clause-clause subsumption calls (NU) : 858
% 0.13/0.50 % Rec. Clause-clause subsumption calls : 634
% 0.13/0.50 % Non-unit clause-clause subsumptions : 89
% 0.13/0.50 % Unit Clause-clause subsumption calls : 13
% 0.13/0.50 % Rewrite failures with RHS unbound : 0
% 0.13/0.50 % BW rewrite match attempts : 9
% 0.13/0.50 % BW rewrite match successes : 5
% 0.13/0.50 % Condensation attempts : 0
% 0.13/0.50 % Condensation successes : 0
% 0.13/0.50 % Termbank termtop insertions : 12750
% 0.13/0.50 % Search garbage collected termcells : 744
% 0.13/0.50
% 0.13/0.50 % -------------------------------------------------
% 0.13/0.50 % User time : 0.027 s
% 0.13/0.50 % System time : 0.005 s
% 0.13/0.50 % Total time : 0.032 s
% 0.13/0.50 % Maximum resident set size: 3664 pages
% 0.13/0.50
% 0.13/0.50 % -------------------------------------------------
% 0.13/0.50 % User time : 0.030 s
% 0.13/0.50 % System time : 0.008 s
% 0.13/0.50 % Total time : 0.038 s
% 0.13/0.50 % Maximum resident set size: 4608 pages
% 0.13/0.50 % E exiting
%------------------------------------------------------------------------------