TSTP Solution File: SWV122+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWV122+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n032.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 : 600s
% DateTime : Wed Jul 20 18:15:17 EDT 2022
% Result : Theorem 0.18s 1.36s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 12
% Syntax : Number of formulae : 116 ( 47 unt; 0 def)
% Number of atoms : 415 ( 91 equ)
% Maximal formula atoms : 75 ( 3 avg)
% Number of connectives : 394 ( 95 ~; 183 |; 93 &)
% ( 2 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 3 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 16 con; 0-3 aty)
% Number of variables : 66 ( 0 sgn 46 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(succ_plus_1_r,axiom,
! [X1] : plus(X1,n1) = succ(X1),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_plus_1_r) ).
fof(successor_2,axiom,
succ(succ(n0)) = n2,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',successor_2) ).
fof(successor_1,axiom,
succ(n0) = n1,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',successor_1) ).
fof(successor_3,axiom,
succ(succ(succ(n0))) = n3,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',successor_3) ).
fof(successor_4,axiom,
succ(succ(succ(succ(n0)))) = n4,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',successor_4) ).
fof(successor_5,axiom,
succ(succ(succ(succ(succ(n0))))) = n5,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',successor_5) ).
fof(quaternion_ds1_symm_0015,conjecture,
( ( ! [X14,X18] :
( ( leq(n0,X14)
& leq(n0,X18)
& leq(X14,minus(n6,n1))
& leq(X18,minus(n6,n1)) )
=> a_select3(q_ds1_filter,X14,X18) = a_select3(q_ds1_filter,X18,X14) )
& ! [X4,X20] :
( ( leq(n0,X4)
& leq(n0,X20)
& leq(X4,minus(n3,n1))
& leq(X20,minus(n3,n1)) )
=> a_select3(r_ds1_filter,X4,X20) = a_select3(r_ds1_filter,X20,X4) )
& ! [X21,X22] :
( ( leq(n0,X21)
& leq(n0,X22)
& leq(X21,minus(n6,n1))
& leq(X22,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,X21,X22) = a_select3(pminus_ds1_filter,X22,X21) ) )
=> ( ! [X28,X29] :
( ( leq(n0,X28)
& leq(n0,X29)
& leq(X28,minus(n6,n1))
& leq(X29,minus(n6,n1)) )
=> a_select3(q_ds1_filter,X28,X29) = a_select3(q_ds1_filter,X29,X28) )
& ! [X5,X11] :
( ( leq(n0,X5)
& leq(n0,X11)
& leq(X5,minus(n3,n1))
& leq(X11,minus(n3,n1)) )
=> a_select3(r_ds1_filter,X5,X11) = a_select3(r_ds1_filter,X11,X5) )
& ! [X16,X6] :
( ( leq(n0,X16)
& leq(n0,X6)
& leq(X16,minus(n6,n1))
& leq(X6,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,X16,X6) = a_select3(pminus_ds1_filter,X6,X16) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',quaternion_ds1_symm_0015) ).
fof(pred_succ,axiom,
! [X1] : pred(succ(X1)) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',pred_succ) ).
fof(pred_minus_1,axiom,
! [X1] : minus(X1,n1) = pred(X1),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',pred_minus_1) ).
fof(successor_6,axiom,
succ(succ(succ(succ(succ(succ(n0)))))) = n6,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',successor_6) ).
fof(c_0_10,plain,
! [X2] : plus(X2,n1) = succ(X2),
inference(variable_rename,[status(thm)],[succ_plus_1_r]) ).
cnf(c_0_11,plain,
succ(succ(n0)) = n2,
inference(split_conjunct,[status(thm)],[successor_2]) ).
cnf(c_0_12,plain,
plus(X1,n1) = succ(X1),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_13,plain,
succ(n0) = n1,
inference(split_conjunct,[status(thm)],[successor_1]) ).
cnf(c_0_14,plain,
succ(succ(succ(n0))) = n3,
inference(split_conjunct,[status(thm)],[successor_3]) ).
cnf(c_0_15,plain,
plus(plus(n0,n1),n1) = n2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_12]),c_0_12]) ).
cnf(c_0_16,plain,
plus(n0,n1) = n1,
inference(rw,[status(thm)],[c_0_13,c_0_12]) ).
cnf(c_0_17,plain,
succ(succ(succ(succ(n0)))) = n4,
inference(split_conjunct,[status(thm)],[successor_4]) ).
cnf(c_0_18,plain,
plus(plus(plus(n0,n1),n1),n1) = n3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_12]),c_0_12]),c_0_12]) ).
cnf(c_0_19,plain,
plus(n1,n1) = n2,
inference(rw,[status(thm)],[c_0_15,c_0_16]) ).
fof(c_0_20,plain,
( epred1_0
<=> ( ! [X14,X18] :
( ( leq(n0,X14)
& leq(n0,X18)
& leq(X14,minus(n6,n1))
& leq(X18,minus(n6,n1)) )
=> a_select3(q_ds1_filter,X14,X18) = a_select3(q_ds1_filter,X18,X14) )
& ! [X4,X20] :
( ( leq(n0,X4)
& leq(n0,X20)
& leq(X4,minus(n3,n1))
& leq(X20,minus(n3,n1)) )
=> a_select3(r_ds1_filter,X4,X20) = a_select3(r_ds1_filter,X20,X4) )
& ! [X21,X22] :
( ( leq(n0,X21)
& leq(n0,X22)
& leq(X21,minus(n6,n1))
& leq(X22,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,X21,X22) = a_select3(pminus_ds1_filter,X22,X21) ) ) ),
introduced(definition) ).
fof(c_0_21,plain,
( epred2_0
<=> ( ! [X28,X29] :
( ( leq(n0,X28)
& leq(n0,X29)
& leq(X28,minus(n6,n1))
& leq(X29,minus(n6,n1)) )
=> a_select3(q_ds1_filter,X28,X29) = a_select3(q_ds1_filter,X29,X28) )
& ! [X5,X11] :
( ( leq(n0,X5)
& leq(n0,X11)
& leq(X5,minus(n3,n1))
& leq(X11,minus(n3,n1)) )
=> a_select3(r_ds1_filter,X5,X11) = a_select3(r_ds1_filter,X11,X5) ) ) ),
introduced(definition) ).
cnf(c_0_22,plain,
succ(succ(succ(succ(succ(n0))))) = n5,
inference(split_conjunct,[status(thm)],[successor_5]) ).
cnf(c_0_23,plain,
plus(plus(plus(plus(n0,n1),n1),n1),n1) = n4,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_12]),c_0_12]),c_0_12]),c_0_12]) ).
cnf(c_0_24,plain,
plus(n2,n1) = n3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_16]),c_0_19]) ).
fof(c_0_25,plain,
( epred1_0
=> ( ! [X14,X18] :
( ( leq(n0,X14)
& leq(n0,X18)
& leq(X14,minus(n6,n1))
& leq(X18,minus(n6,n1)) )
=> a_select3(q_ds1_filter,X14,X18) = a_select3(q_ds1_filter,X18,X14) )
& ! [X4,X20] :
( ( leq(n0,X4)
& leq(n0,X20)
& leq(X4,minus(n3,n1))
& leq(X20,minus(n3,n1)) )
=> a_select3(r_ds1_filter,X4,X20) = a_select3(r_ds1_filter,X20,X4) )
& ! [X21,X22] :
( ( leq(n0,X21)
& leq(n0,X22)
& leq(X21,minus(n6,n1))
& leq(X22,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,X21,X22) = a_select3(pminus_ds1_filter,X22,X21) ) ) ),
inference(split_equiv,[status(thm)],[c_0_20]) ).
fof(c_0_26,negated_conjecture,
~ ( epred1_0
=> ( epred2_0
& ! [X16,X6] :
( ( leq(n0,X16)
& leq(n0,X6)
& leq(X16,minus(n6,n1))
& leq(X6,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,X16,X6) = a_select3(pminus_ds1_filter,X6,X16) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[quaternion_ds1_symm_0015]),c_0_20]),c_0_21]) ).
fof(c_0_27,plain,
! [X2] : pred(succ(X2)) = X2,
inference(variable_rename,[status(thm)],[pred_succ]) ).
fof(c_0_28,plain,
! [X2] : minus(X2,n1) = pred(X2),
inference(variable_rename,[status(thm)],[pred_minus_1]) ).
cnf(c_0_29,plain,
succ(succ(succ(succ(succ(succ(n0)))))) = n6,
inference(split_conjunct,[status(thm)],[successor_6]) ).
cnf(c_0_30,plain,
plus(plus(plus(plus(plus(n0,n1),n1),n1),n1),n1) = n5,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_12]),c_0_12]),c_0_12]),c_0_12]),c_0_12]) ).
cnf(c_0_31,plain,
plus(n3,n1) = n4,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_16]),c_0_19]),c_0_24]) ).
fof(c_0_32,plain,
! [X23,X24,X25,X26,X27,X28] :
( ( ~ leq(n0,X23)
| ~ leq(n0,X24)
| ~ leq(X23,minus(n6,n1))
| ~ leq(X24,minus(n6,n1))
| a_select3(q_ds1_filter,X23,X24) = a_select3(q_ds1_filter,X24,X23)
| ~ epred1_0 )
& ( ~ leq(n0,X25)
| ~ leq(n0,X26)
| ~ leq(X25,minus(n3,n1))
| ~ leq(X26,minus(n3,n1))
| a_select3(r_ds1_filter,X25,X26) = a_select3(r_ds1_filter,X26,X25)
| ~ epred1_0 )
& ( ~ leq(n0,X27)
| ~ leq(n0,X28)
| ~ leq(X27,minus(n6,n1))
| ~ leq(X28,minus(n6,n1))
| a_select3(pminus_ds1_filter,X27,X28) = a_select3(pminus_ds1_filter,X28,X27)
| ~ epred1_0 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])])])])]) ).
fof(c_0_33,negated_conjecture,
( epred1_0
& ( leq(n0,esk1_0)
| ~ epred2_0 )
& ( leq(n0,esk2_0)
| ~ epred2_0 )
& ( leq(esk1_0,minus(n6,n1))
| ~ epred2_0 )
& ( leq(esk2_0,minus(n6,n1))
| ~ epred2_0 )
& ( a_select3(pminus_ds1_filter,esk1_0,esk2_0) != a_select3(pminus_ds1_filter,esk2_0,esk1_0)
| ~ epred2_0 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])])])])]) ).
cnf(c_0_34,plain,
pred(succ(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_35,plain,
minus(X1,n1) = pred(X1),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_36,plain,
plus(plus(plus(plus(plus(plus(n0,n1),n1),n1),n1),n1),n1) = n6,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_12]),c_0_12]),c_0_12]),c_0_12]),c_0_12]),c_0_12]) ).
cnf(c_0_37,plain,
plus(n4,n1) = n5,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_16]),c_0_19]),c_0_24]),c_0_31]) ).
fof(c_0_38,plain,
( ( ! [X28,X29] :
( ( leq(n0,X28)
& leq(n0,X29)
& leq(X28,minus(n6,n1))
& leq(X29,minus(n6,n1)) )
=> a_select3(q_ds1_filter,X28,X29) = a_select3(q_ds1_filter,X29,X28) )
& ! [X5,X11] :
( ( leq(n0,X5)
& leq(n0,X11)
& leq(X5,minus(n3,n1))
& leq(X11,minus(n3,n1)) )
=> a_select3(r_ds1_filter,X5,X11) = a_select3(r_ds1_filter,X11,X5) ) )
=> epred2_0 ),
inference(split_equiv,[status(thm)],[c_0_21]) ).
cnf(c_0_39,plain,
( a_select3(pminus_ds1_filter,X1,X2) = a_select3(pminus_ds1_filter,X2,X1)
| ~ epred1_0
| ~ leq(X2,minus(n6,n1))
| ~ leq(X1,minus(n6,n1))
| ~ leq(n0,X2)
| ~ leq(n0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_40,negated_conjecture,
epred1_0,
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_41,plain,
( a_select3(q_ds1_filter,X1,X2) = a_select3(q_ds1_filter,X2,X1)
| ~ epred1_0
| ~ leq(X2,minus(n6,n1))
| ~ leq(X1,minus(n6,n1))
| ~ leq(n0,X2)
| ~ leq(n0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_42,plain,
minus(plus(X1,n1),n1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_12]),c_0_35]) ).
cnf(c_0_43,plain,
plus(n5,n1) = n6,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_16]),c_0_19]),c_0_24]),c_0_31]),c_0_37]) ).
fof(c_0_44,plain,
( ( leq(n0,esk5_0)
| leq(n0,esk3_0)
| epred2_0 )
& ( leq(n0,esk6_0)
| leq(n0,esk3_0)
| epred2_0 )
& ( leq(esk5_0,minus(n3,n1))
| leq(n0,esk3_0)
| epred2_0 )
& ( leq(esk6_0,minus(n3,n1))
| leq(n0,esk3_0)
| epred2_0 )
& ( a_select3(r_ds1_filter,esk5_0,esk6_0) != a_select3(r_ds1_filter,esk6_0,esk5_0)
| leq(n0,esk3_0)
| epred2_0 )
& ( leq(n0,esk5_0)
| leq(n0,esk4_0)
| epred2_0 )
& ( leq(n0,esk6_0)
| leq(n0,esk4_0)
| epred2_0 )
& ( leq(esk5_0,minus(n3,n1))
| leq(n0,esk4_0)
| epred2_0 )
& ( leq(esk6_0,minus(n3,n1))
| leq(n0,esk4_0)
| epred2_0 )
& ( a_select3(r_ds1_filter,esk5_0,esk6_0) != a_select3(r_ds1_filter,esk6_0,esk5_0)
| leq(n0,esk4_0)
| epred2_0 )
& ( leq(n0,esk5_0)
| leq(esk3_0,minus(n6,n1))
| epred2_0 )
& ( leq(n0,esk6_0)
| leq(esk3_0,minus(n6,n1))
| epred2_0 )
& ( leq(esk5_0,minus(n3,n1))
| leq(esk3_0,minus(n6,n1))
| epred2_0 )
& ( leq(esk6_0,minus(n3,n1))
| leq(esk3_0,minus(n6,n1))
| epred2_0 )
& ( a_select3(r_ds1_filter,esk5_0,esk6_0) != a_select3(r_ds1_filter,esk6_0,esk5_0)
| leq(esk3_0,minus(n6,n1))
| epred2_0 )
& ( leq(n0,esk5_0)
| leq(esk4_0,minus(n6,n1))
| epred2_0 )
& ( leq(n0,esk6_0)
| leq(esk4_0,minus(n6,n1))
| epred2_0 )
& ( leq(esk5_0,minus(n3,n1))
| leq(esk4_0,minus(n6,n1))
| epred2_0 )
& ( leq(esk6_0,minus(n3,n1))
| leq(esk4_0,minus(n6,n1))
| epred2_0 )
& ( a_select3(r_ds1_filter,esk5_0,esk6_0) != a_select3(r_ds1_filter,esk6_0,esk5_0)
| leq(esk4_0,minus(n6,n1))
| epred2_0 )
& ( leq(n0,esk5_0)
| a_select3(q_ds1_filter,esk3_0,esk4_0) != a_select3(q_ds1_filter,esk4_0,esk3_0)
| epred2_0 )
& ( leq(n0,esk6_0)
| a_select3(q_ds1_filter,esk3_0,esk4_0) != a_select3(q_ds1_filter,esk4_0,esk3_0)
| epred2_0 )
& ( leq(esk5_0,minus(n3,n1))
| a_select3(q_ds1_filter,esk3_0,esk4_0) != a_select3(q_ds1_filter,esk4_0,esk3_0)
| epred2_0 )
& ( leq(esk6_0,minus(n3,n1))
| a_select3(q_ds1_filter,esk3_0,esk4_0) != a_select3(q_ds1_filter,esk4_0,esk3_0)
| epred2_0 )
& ( a_select3(r_ds1_filter,esk5_0,esk6_0) != a_select3(r_ds1_filter,esk6_0,esk5_0)
| a_select3(q_ds1_filter,esk3_0,esk4_0) != a_select3(q_ds1_filter,esk4_0,esk3_0)
| epred2_0 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])])])])])]) ).
cnf(c_0_45,negated_conjecture,
( ~ epred2_0
| a_select3(pminus_ds1_filter,esk1_0,esk2_0) != a_select3(pminus_ds1_filter,esk2_0,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_46,plain,
( a_select3(pminus_ds1_filter,X1,X2) = a_select3(pminus_ds1_filter,X2,X1)
| ~ leq(X2,minus(n6,n1))
| ~ leq(X1,minus(n6,n1))
| ~ leq(n0,X2)
| ~ leq(n0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_40])]) ).
cnf(c_0_47,negated_conjecture,
( leq(n0,esk1_0)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_48,negated_conjecture,
( leq(n0,esk2_0)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_49,negated_conjecture,
( leq(esk1_0,minus(n6,n1))
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_50,negated_conjecture,
( leq(esk2_0,minus(n6,n1))
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_51,plain,
( a_select3(r_ds1_filter,X1,X2) = a_select3(r_ds1_filter,X2,X1)
| ~ epred1_0
| ~ leq(X2,minus(n3,n1))
| ~ leq(X1,minus(n3,n1))
| ~ leq(n0,X2)
| ~ leq(n0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_52,plain,
( a_select3(q_ds1_filter,X1,X2) = a_select3(q_ds1_filter,X2,X1)
| ~ leq(X2,minus(n6,n1))
| ~ leq(X1,minus(n6,n1))
| ~ leq(n0,X2)
| ~ leq(n0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_40])]) ).
cnf(c_0_53,plain,
minus(n6,n1) = n5,
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_54,plain,
( epred2_0
| leq(n0,esk3_0)
| leq(n0,esk6_0) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_55,negated_conjecture,
~ epred2_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_50]) ).
cnf(c_0_56,plain,
( epred2_0
| leq(n0,esk4_0)
| leq(n0,esk6_0) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_57,plain,
( epred2_0
| leq(esk3_0,minus(n6,n1))
| leq(n0,esk6_0) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_58,plain,
( epred2_0
| leq(esk4_0,minus(n6,n1))
| leq(n0,esk6_0) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_59,plain,
( epred2_0
| leq(n0,esk3_0)
| leq(n0,esk5_0) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_60,plain,
( epred2_0
| leq(n0,esk4_0)
| leq(n0,esk5_0) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_61,plain,
( epred2_0
| leq(esk3_0,minus(n6,n1))
| leq(n0,esk5_0) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_62,plain,
( epred2_0
| leq(esk4_0,minus(n6,n1))
| leq(n0,esk5_0) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_63,plain,
( epred2_0
| leq(esk3_0,minus(n6,n1))
| a_select3(r_ds1_filter,esk5_0,esk6_0) != a_select3(r_ds1_filter,esk6_0,esk5_0) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_64,plain,
( epred2_0
| leq(esk4_0,minus(n6,n1))
| a_select3(r_ds1_filter,esk5_0,esk6_0) != a_select3(r_ds1_filter,esk6_0,esk5_0) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_65,plain,
( a_select3(r_ds1_filter,X1,X2) = a_select3(r_ds1_filter,X2,X1)
| ~ leq(X2,minus(n3,n1))
| ~ leq(X1,minus(n3,n1))
| ~ leq(n0,X2)
| ~ leq(n0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_40])]) ).
cnf(c_0_66,plain,
minus(n3,n1) = n2,
inference(spm,[status(thm)],[c_0_42,c_0_24]) ).
cnf(c_0_67,plain,
( epred2_0
| leq(n0,esk6_0)
| a_select3(q_ds1_filter,esk3_0,esk4_0) != a_select3(q_ds1_filter,esk4_0,esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_68,plain,
( a_select3(q_ds1_filter,X1,X2) = a_select3(q_ds1_filter,X2,X1)
| ~ leq(X2,n5)
| ~ leq(X1,n5)
| ~ leq(n0,X2)
| ~ leq(n0,X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_53]),c_0_53]) ).
cnf(c_0_69,plain,
( leq(n0,esk3_0)
| leq(n0,esk6_0) ),
inference(sr,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_70,plain,
( leq(n0,esk4_0)
| leq(n0,esk6_0) ),
inference(sr,[status(thm)],[c_0_56,c_0_55]) ).
cnf(c_0_71,plain,
( leq(n0,esk6_0)
| leq(esk3_0,n5) ),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[c_0_57,c_0_55]),c_0_53]) ).
cnf(c_0_72,plain,
( leq(n0,esk6_0)
| leq(esk4_0,n5) ),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[c_0_58,c_0_55]),c_0_53]) ).
cnf(c_0_73,plain,
( epred2_0
| leq(n0,esk5_0)
| a_select3(q_ds1_filter,esk3_0,esk4_0) != a_select3(q_ds1_filter,esk4_0,esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_74,plain,
( leq(n0,esk3_0)
| leq(n0,esk5_0) ),
inference(sr,[status(thm)],[c_0_59,c_0_55]) ).
cnf(c_0_75,plain,
( leq(n0,esk4_0)
| leq(n0,esk5_0) ),
inference(sr,[status(thm)],[c_0_60,c_0_55]) ).
cnf(c_0_76,plain,
( leq(n0,esk5_0)
| leq(esk3_0,n5) ),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[c_0_61,c_0_55]),c_0_53]) ).
cnf(c_0_77,plain,
( leq(n0,esk5_0)
| leq(esk4_0,n5) ),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[c_0_62,c_0_55]),c_0_53]) ).
cnf(c_0_78,plain,
( epred2_0
| leq(n0,esk3_0)
| leq(esk5_0,minus(n3,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_79,plain,
( epred2_0
| leq(n0,esk3_0)
| leq(esk6_0,minus(n3,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_80,plain,
( epred2_0
| leq(n0,esk4_0)
| leq(esk5_0,minus(n3,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_81,plain,
( epred2_0
| leq(n0,esk4_0)
| leq(esk6_0,minus(n3,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_82,plain,
( epred2_0
| a_select3(q_ds1_filter,esk3_0,esk4_0) != a_select3(q_ds1_filter,esk4_0,esk3_0)
| a_select3(r_ds1_filter,esk5_0,esk6_0) != a_select3(r_ds1_filter,esk6_0,esk5_0) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_83,plain,
( leq(esk3_0,n5)
| a_select3(r_ds1_filter,esk6_0,esk5_0) != a_select3(r_ds1_filter,esk5_0,esk6_0) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_53]),c_0_55]) ).
cnf(c_0_84,plain,
( leq(esk4_0,n5)
| a_select3(r_ds1_filter,esk6_0,esk5_0) != a_select3(r_ds1_filter,esk5_0,esk6_0) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_53]),c_0_55]) ).
cnf(c_0_85,plain,
( epred2_0
| leq(n0,esk3_0)
| a_select3(r_ds1_filter,esk5_0,esk6_0) != a_select3(r_ds1_filter,esk6_0,esk5_0) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_86,plain,
( a_select3(r_ds1_filter,X1,X2) = a_select3(r_ds1_filter,X2,X1)
| ~ leq(X2,n2)
| ~ leq(X1,n2)
| ~ leq(n0,X2)
| ~ leq(n0,X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_66]),c_0_66]) ).
cnf(c_0_87,plain,
leq(n0,esk6_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_55]),c_0_69]),c_0_70]),c_0_71]),c_0_72]) ).
cnf(c_0_88,plain,
leq(n0,esk5_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_68]),c_0_55]),c_0_74]),c_0_75]),c_0_76]),c_0_77]) ).
cnf(c_0_89,plain,
( leq(n0,esk3_0)
| leq(esk5_0,n2) ),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[c_0_78,c_0_55]),c_0_66]) ).
cnf(c_0_90,plain,
( leq(n0,esk3_0)
| leq(esk6_0,n2) ),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[c_0_79,c_0_55]),c_0_66]) ).
cnf(c_0_91,plain,
( epred2_0
| leq(n0,esk4_0)
| a_select3(r_ds1_filter,esk5_0,esk6_0) != a_select3(r_ds1_filter,esk6_0,esk5_0) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_92,plain,
( leq(n0,esk4_0)
| leq(esk5_0,n2) ),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[c_0_80,c_0_55]),c_0_66]) ).
cnf(c_0_93,plain,
( leq(n0,esk4_0)
| leq(esk6_0,n2) ),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[c_0_81,c_0_55]),c_0_66]) ).
cnf(c_0_94,plain,
( a_select3(r_ds1_filter,esk6_0,esk5_0) != a_select3(r_ds1_filter,esk5_0,esk6_0)
| ~ leq(n0,esk4_0)
| ~ leq(n0,esk3_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_68]),c_0_55]),c_0_83]),c_0_84]) ).
cnf(c_0_95,plain,
leq(n0,esk3_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_55]),c_0_87]),c_0_88])]),c_0_89]),c_0_90]) ).
cnf(c_0_96,plain,
leq(n0,esk4_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_86]),c_0_55]),c_0_87]),c_0_88])]),c_0_92]),c_0_93]) ).
cnf(c_0_97,plain,
a_select3(r_ds1_filter,esk6_0,esk5_0) != a_select3(r_ds1_filter,esk5_0,esk6_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_94,c_0_95])]),c_0_96])]) ).
cnf(c_0_98,plain,
( epred2_0
| leq(esk3_0,minus(n6,n1))
| leq(esk6_0,minus(n3,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_99,plain,
( epred2_0
| leq(esk3_0,minus(n6,n1))
| leq(esk5_0,minus(n3,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_100,plain,
( epred2_0
| leq(esk5_0,minus(n3,n1))
| a_select3(q_ds1_filter,esk3_0,esk4_0) != a_select3(q_ds1_filter,esk4_0,esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_101,plain,
( ~ leq(esk6_0,n2)
| ~ leq(esk5_0,n2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_86]),c_0_87]),c_0_88])]) ).
cnf(c_0_102,plain,
( leq(esk3_0,n5)
| leq(esk6_0,n2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[c_0_98,c_0_55]),c_0_66]),c_0_53]) ).
cnf(c_0_103,plain,
( leq(esk3_0,n5)
| leq(esk5_0,n2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[c_0_99,c_0_55]),c_0_66]),c_0_53]) ).
cnf(c_0_104,plain,
( epred2_0
| leq(esk4_0,minus(n6,n1))
| leq(esk5_0,minus(n3,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_105,plain,
( leq(esk5_0,n2)
| a_select3(q_ds1_filter,esk4_0,esk3_0) != a_select3(q_ds1_filter,esk3_0,esk4_0) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_100,c_0_66]),c_0_55]) ).
cnf(c_0_106,plain,
leq(esk3_0,n5),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_103]) ).
cnf(c_0_107,plain,
( leq(esk4_0,n5)
| leq(esk5_0,n2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[c_0_104,c_0_55]),c_0_66]),c_0_53]) ).
cnf(c_0_108,plain,
( epred2_0
| leq(esk4_0,minus(n6,n1))
| leq(esk6_0,minus(n3,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_109,plain,
leq(esk5_0,n2),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_68]),c_0_106]),c_0_96]),c_0_95])]),c_0_107]) ).
cnf(c_0_110,plain,
( epred2_0
| leq(esk6_0,minus(n3,n1))
| a_select3(q_ds1_filter,esk3_0,esk4_0) != a_select3(q_ds1_filter,esk4_0,esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_111,plain,
( leq(esk4_0,n5)
| leq(esk6_0,n2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[c_0_108,c_0_55]),c_0_66]),c_0_53]) ).
cnf(c_0_112,plain,
~ leq(esk6_0,n2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_101,c_0_109])]) ).
cnf(c_0_113,plain,
( leq(esk6_0,n2)
| a_select3(q_ds1_filter,esk4_0,esk3_0) != a_select3(q_ds1_filter,esk3_0,esk4_0) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_110,c_0_66]),c_0_55]) ).
cnf(c_0_114,plain,
leq(esk4_0,n5),
inference(sr,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_115,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_68]),c_0_114]),c_0_106]),c_0_96]),c_0_95])]),c_0_112]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWV122+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.10/0.10 % Command : run_ET %s %d
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 600
% 0.10/0.29 % DateTime : Tue Jun 14 19:55:58 EDT 2022
% 0.10/0.29 % CPUTime :
% 0.18/1.36 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.18/1.36 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.18/1.36 # Preprocessing time : 0.014 s
% 0.18/1.36
% 0.18/1.36 # Proof found!
% 0.18/1.36 # SZS status Theorem
% 0.18/1.36 # SZS output start CNFRefutation
% See solution above
% 0.18/1.36 # Proof object total steps : 116
% 0.18/1.36 # Proof object clause steps : 95
% 0.18/1.36 # Proof object formula steps : 21
% 0.18/1.36 # Proof object conjectures : 10
% 0.18/1.36 # Proof object clause conjectures : 7
% 0.18/1.36 # Proof object formula conjectures : 3
% 0.18/1.36 # Proof object initial clauses used : 43
% 0.18/1.36 # Proof object initial formulas used : 10
% 0.18/1.36 # Proof object generating inferences : 12
% 0.18/1.36 # Proof object simplifying inferences : 139
% 0.18/1.36 # Training examples: 0 positive, 0 negative
% 0.18/1.36 # Parsed axioms : 94
% 0.18/1.36 # Removed by relevancy pruning/SinE : 24
% 0.18/1.36 # Initial clauses : 106
% 0.18/1.36 # Removed in clause preprocessing : 2
% 0.18/1.36 # Initial clauses in saturation : 104
% 0.18/1.36 # Processed clauses : 7488
% 0.18/1.36 # ...of these trivial : 283
% 0.18/1.36 # ...subsumed : 5078
% 0.18/1.36 # ...remaining for further processing : 2126
% 0.18/1.36 # Other redundant clauses eliminated : 0
% 0.18/1.36 # Clauses deleted for lack of memory : 0
% 0.18/1.36 # Backward-subsumed : 521
% 0.18/1.36 # Backward-rewritten : 148
% 0.18/1.36 # Generated clauses : 48844
% 0.18/1.36 # ...of the previous two non-trivial : 35934
% 0.18/1.36 # Contextual simplify-reflections : 1739
% 0.18/1.36 # Paramodulations : 48769
% 0.18/1.36 # Factorizations : 58
% 0.18/1.36 # Equation resolutions : 0
% 0.18/1.36 # Current number of processed clauses : 1440
% 0.18/1.36 # Positive orientable unit clauses : 262
% 0.18/1.36 # Positive unorientable unit clauses: 5
% 0.18/1.36 # Negative unit clauses : 181
% 0.18/1.36 # Non-unit-clauses : 992
% 0.18/1.36 # Current number of unprocessed clauses: 20132
% 0.18/1.36 # ...number of literals in the above : 81273
% 0.18/1.36 # Current number of archived formulas : 0
% 0.18/1.36 # Current number of archived clauses : 688
% 0.18/1.36 # Clause-clause subsumption calls (NU) : 262874
% 0.18/1.36 # Rec. Clause-clause subsumption calls : 95947
% 0.18/1.36 # Non-unit clause-clause subsumptions : 4508
% 0.18/1.36 # Unit Clause-clause subsumption calls : 13344
% 0.18/1.36 # Rewrite failures with RHS unbound : 0
% 0.18/1.36 # BW rewrite match attempts : 124
% 0.18/1.36 # BW rewrite match successes : 72
% 0.18/1.36 # Condensation attempts : 0
% 0.18/1.36 # Condensation successes : 0
% 0.18/1.36 # Termbank termtop insertions : 455236
% 0.18/1.36
% 0.18/1.36 # -------------------------------------------------
% 0.18/1.36 # User time : 0.753 s
% 0.18/1.36 # System time : 0.008 s
% 0.18/1.36 # Total time : 0.761 s
% 0.18/1.36 # Maximum resident set size: 21192 pages
% 0.18/23.36 eprover: CPU time limit exceeded, terminating
% 0.18/23.36 eprover: CPU time limit exceeded, terminating
% 0.18/23.37 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.18/23.37 eprover: No such file or directory
% 0.18/23.38 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.18/23.38 eprover: No such file or directory
% 0.18/23.38 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.18/23.38 eprover: No such file or directory
% 0.18/23.38 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.18/23.38 eprover: No such file or directory
% 0.18/23.38 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.18/23.38 eprover: No such file or directory
% 0.18/23.39 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.18/23.39 eprover: No such file or directory
% 0.18/23.39 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.18/23.39 eprover: No such file or directory
% 0.18/23.39 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.18/23.39 eprover: No such file or directory
% 0.18/23.39 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.18/23.39 eprover: No such file or directory
% 0.18/23.39 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.18/23.39 eprover: No such file or directory
% 0.18/23.40 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.18/23.40 eprover: No such file or directory
% 0.18/23.40 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.18/23.40 eprover: No such file or directory
% 0.18/23.40 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.18/23.40 eprover: No such file or directory
% 0.18/23.40 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.18/23.40 eprover: No such file or directory
% 0.18/23.41 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.18/23.41 eprover: No such file or directory
% 0.18/23.41 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.18/23.41 eprover: No such file or directory
% 0.18/23.41 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.18/23.41 eprover: No such file or directory
% 0.18/23.41 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.18/23.41 eprover: No such file or directory
% 0.18/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.18/23.42 eprover: No such file or directory
% 0.18/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.18/23.42 eprover: No such file or directory
% 0.18/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.18/23.42 eprover: No such file or directory
% 0.18/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.18/23.42 eprover: No such file or directory
%------------------------------------------------------------------------------