TSTP Solution File: SWV114+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV114+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n007.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 : Thu Aug 31 21:36:37 EDT 2023
% Result : Theorem 90.46s 90.51s
% Output : CNFRefutation 90.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 103
% Syntax : Number of formulae : 305 ( 84 unt; 78 typ; 0 def)
% Number of atoms : 874 ( 150 equ)
% Maximal formula atoms : 125 ( 3 avg)
% Number of connectives : 942 ( 295 ~; 479 |; 136 &)
% ( 2 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 4 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 144 ( 50 >; 94 *; 0 +; 0 <<)
% Number of predicates : 10 ( 8 usr; 4 prp; 0-4 aty)
% Number of functors : 70 ( 70 usr; 25 con; 0-7 aty)
% Number of variables : 136 ( 0 sgn; 83 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
gt: ( $i * $i ) > $o ).
tff(decl_23,type,
leq: ( $i * $i ) > $o ).
tff(decl_24,type,
lt: ( $i * $i ) > $o ).
tff(decl_25,type,
geq: ( $i * $i ) > $o ).
tff(decl_26,type,
pred: $i > $i ).
tff(decl_27,type,
succ: $i > $i ).
tff(decl_28,type,
n0: $i ).
tff(decl_29,type,
uniform_int_rnd: ( $i * $i ) > $i ).
tff(decl_30,type,
dim: ( $i * $i ) > $i ).
tff(decl_31,type,
tptp_const_array1: ( $i * $i ) > $i ).
tff(decl_32,type,
a_select2: ( $i * $i ) > $i ).
tff(decl_33,type,
tptp_const_array2: ( $i * $i * $i ) > $i ).
tff(decl_34,type,
a_select3: ( $i * $i * $i ) > $i ).
tff(decl_35,type,
trans: $i > $i ).
tff(decl_36,type,
inv: $i > $i ).
tff(decl_37,type,
tptp_update3: ( $i * $i * $i * $i ) > $i ).
tff(decl_38,type,
tptp_madd: ( $i * $i ) > $i ).
tff(decl_39,type,
tptp_msub: ( $i * $i ) > $i ).
tff(decl_40,type,
tptp_mmul: ( $i * $i ) > $i ).
tff(decl_41,type,
tptp_minus_1: $i ).
tff(decl_42,type,
sum: ( $i * $i * $i ) > $i ).
tff(decl_43,type,
tptp_float_0_0: $i ).
tff(decl_44,type,
n1: $i ).
tff(decl_45,type,
plus: ( $i * $i ) > $i ).
tff(decl_46,type,
n2: $i ).
tff(decl_47,type,
n3: $i ).
tff(decl_48,type,
n4: $i ).
tff(decl_49,type,
n5: $i ).
tff(decl_50,type,
minus: ( $i * $i ) > $i ).
tff(decl_51,type,
tptp_update2: ( $i * $i * $i ) > $i ).
tff(decl_52,type,
true: $o ).
tff(decl_53,type,
def: $i ).
tff(decl_54,type,
use: $i ).
tff(decl_55,type,
pv5: $i ).
tff(decl_56,type,
n999: $i ).
tff(decl_57,type,
n6: $i ).
tff(decl_58,type,
q_ds1_filter: $i ).
tff(decl_59,type,
r_ds1_filter: $i ).
tff(decl_60,type,
pminus_ds1_filter: $i ).
tff(decl_61,type,
id_ds1_filter: $i ).
tff(decl_62,type,
epred1_4: ( $i * $i * $i * $i ) > $o ).
tff(decl_63,type,
epred2_0: $o ).
tff(decl_64,type,
epred3_0: $o ).
tff(decl_65,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_66,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_67,type,
esk3_2: ( $i * $i ) > $i ).
tff(decl_68,type,
esk4_2: ( $i * $i ) > $i ).
tff(decl_69,type,
esk5_2: ( $i * $i ) > $i ).
tff(decl_70,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_71,type,
esk7_3: ( $i * $i * $i ) > $i ).
tff(decl_72,type,
esk8_3: ( $i * $i * $i ) > $i ).
tff(decl_73,type,
esk9_3: ( $i * $i * $i ) > $i ).
tff(decl_74,type,
esk10_3: ( $i * $i * $i ) > $i ).
tff(decl_75,type,
esk11_3: ( $i * $i * $i ) > $i ).
tff(decl_76,type,
esk12_3: ( $i * $i * $i ) > $i ).
tff(decl_77,type,
esk13_3: ( $i * $i * $i ) > $i ).
tff(decl_78,type,
esk14_3: ( $i * $i * $i ) > $i ).
tff(decl_79,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_80,type,
esk16_3: ( $i * $i * $i ) > $i ).
tff(decl_81,type,
esk17_3: ( $i * $i * $i ) > $i ).
tff(decl_82,type,
esk18_3: ( $i * $i * $i ) > $i ).
tff(decl_83,type,
esk19_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_84,type,
esk20_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_85,type,
esk21_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_86,type,
esk22_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_87,type,
esk23_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_88,type,
esk24_0: $i ).
tff(decl_89,type,
esk25_0: $i ).
tff(decl_90,type,
esk26_0: $i ).
tff(decl_91,type,
esk27_0: $i ).
tff(decl_92,type,
esk28_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_93,type,
esk29_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_94,type,
esk30_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_95,type,
esk31_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_96,type,
esk32_0: $i ).
tff(decl_97,type,
esk33_0: $i ).
tff(decl_98,type,
esk34_0: $i ).
tff(decl_99,type,
esk35_0: $i ).
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/benchmark/theBenchmark.p',successor_2) ).
fof(successor_1,axiom,
succ(n0) = n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_1) ).
fof(succ_plus_1_l,axiom,
! [X1] : plus(n1,X1) = succ(X1),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_plus_1_l) ).
fof(successor_3,axiom,
succ(succ(succ(n0))) = n3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_3) ).
fof(successor_4,axiom,
succ(succ(succ(succ(n0)))) = n4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_4) ).
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/benchmark/theBenchmark.p',successor_6) ).
fof(successor_5,axiom,
succ(succ(succ(succ(succ(n0))))) = n5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_5) ).
fof(quaternion_ds1_symm_0007,conjecture,
( ( leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [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) ) )
=> ( leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [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) )
& ! [X19] :
( ( leq(n0,X19)
& leq(X19,minus(n0,n1)) )
=> ! [X15] :
( ( leq(n0,X15)
& leq(X15,minus(n6,n1)) )
=> a_select3(id_ds1_filter,X19,X15) = a_select3(id_ds1_filter,X15,X19) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_symm_0007) ).
fof(succ_plus_2_r,axiom,
! [X1] : plus(X1,n2) = succ(succ(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_plus_2_r) ).
fof(succ_plus_2_l,axiom,
! [X1] : plus(n2,X1) = succ(succ(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_plus_2_l) ).
fof(irreflexivity_gt,axiom,
! [X1] : ~ gt(X1,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',irreflexivity_gt) ).
fof(leq_succ_gt,axiom,
! [X1,X2] :
( leq(succ(X1),X2)
=> gt(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_succ_gt) ).
fof(succ_pred,axiom,
! [X1] : succ(pred(X1)) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_pred) ).
fof(transitivity_leq,axiom,
! [X1,X2,X3] :
( ( leq(X1,X2)
& leq(X2,X3) )
=> leq(X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',transitivity_leq) ).
fof(succ_tptp_minus_1,axiom,
succ(tptp_minus_1) = n0,
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_tptp_minus_1) ).
fof(leq_gt1,axiom,
! [X1,X2] :
( gt(X2,X1)
=> leq(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_gt1) ).
fof(gt_1_tptp_minus_1,axiom,
gt(n1,tptp_minus_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_1_tptp_minus_1) ).
fof(transitivity_gt,axiom,
! [X1,X2,X3] :
( ( gt(X1,X2)
& gt(X2,X3) )
=> gt(X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',transitivity_gt) ).
fof(gt_0_tptp_minus_1,axiom,
gt(n0,tptp_minus_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_0_tptp_minus_1) ).
fof(finite_domain_1,axiom,
! [X1] :
( ( leq(n0,X1)
& leq(X1,n1) )
=> ( X1 = n0
| X1 = n1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',finite_domain_1) ).
fof(c_0_23,plain,
! [X137] : plus(X137,n1) = succ(X137),
inference(variable_rename,[status(thm)],[succ_plus_1_r]) ).
cnf(c_0_24,plain,
succ(succ(n0)) = n2,
inference(split_conjunct,[status(thm)],[successor_2]) ).
cnf(c_0_25,plain,
plus(X1,n1) = succ(X1),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_26,plain,
succ(n0) = n1,
inference(split_conjunct,[status(thm)],[successor_1]) ).
fof(c_0_27,plain,
! [X138] : plus(n1,X138) = succ(X138),
inference(variable_rename,[status(thm)],[succ_plus_1_l]) ).
cnf(c_0_28,plain,
succ(succ(succ(n0))) = n3,
inference(split_conjunct,[status(thm)],[successor_3]) ).
cnf(c_0_29,plain,
plus(plus(n0,n1),n1) = n2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_25]),c_0_25]) ).
cnf(c_0_30,plain,
plus(n0,n1) = n1,
inference(rw,[status(thm)],[c_0_26,c_0_25]) ).
cnf(c_0_31,plain,
plus(n1,X1) = succ(X1),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_32,plain,
succ(succ(succ(succ(n0)))) = n4,
inference(split_conjunct,[status(thm)],[successor_4]) ).
cnf(c_0_33,plain,
plus(plus(plus(n0,n1),n1),n1) = n3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_25]),c_0_25]),c_0_25]) ).
cnf(c_0_34,plain,
plus(n1,n1) = n2,
inference(rw,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_35,plain,
plus(n1,X1) = plus(X1,n1),
inference(rw,[status(thm)],[c_0_31,c_0_25]) ).
fof(c_0_36,plain,
( epred2_0
<=> ( leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [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_37,plain,
( epred3_0
<=> ( leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [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) ).
fof(c_0_38,plain,
! [X148] : pred(succ(X148)) = X148,
inference(variable_rename,[status(thm)],[pred_succ]) ).
fof(c_0_39,plain,
! [X147] : minus(X147,n1) = pred(X147),
inference(variable_rename,[status(thm)],[pred_minus_1]) ).
cnf(c_0_40,plain,
succ(succ(succ(succ(succ(succ(n0)))))) = n6,
inference(split_conjunct,[status(thm)],[successor_6]) ).
cnf(c_0_41,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_32,c_0_25]),c_0_25]),c_0_25]),c_0_25]) ).
cnf(c_0_42,plain,
plus(n1,n2) = n3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_30]),c_0_34]),c_0_35]) ).
cnf(c_0_43,plain,
succ(succ(succ(succ(succ(n0))))) = n5,
inference(split_conjunct,[status(thm)],[successor_5]) ).
fof(c_0_44,plain,
( epred2_0
=> ( leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [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_36]) ).
fof(c_0_45,negated_conjecture,
~ ( epred2_0
=> ( epred3_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) )
& ! [X19] :
( ( leq(n0,X19)
& leq(X19,minus(n0,n1)) )
=> ! [X15] :
( ( leq(n0,X15)
& leq(X15,minus(n6,n1)) )
=> a_select3(id_ds1_filter,X19,X15) = a_select3(id_ds1_filter,X15,X19) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[quaternion_ds1_symm_0007]),c_0_36]),c_0_37]) ).
fof(c_0_46,plain,
! [X139] : plus(X139,n2) = succ(succ(X139)),
inference(variable_rename,[status(thm)],[succ_plus_2_r]) ).
cnf(c_0_47,plain,
pred(succ(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_48,plain,
minus(X1,n1) = pred(X1),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_49,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_40,c_0_25]),c_0_25]),c_0_25]),c_0_25]),c_0_25]),c_0_25]) ).
cnf(c_0_50,plain,
plus(n1,n3) = n4,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_30]),c_0_34]),c_0_35]),c_0_42]),c_0_35]) ).
cnf(c_0_51,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_43,c_0_25]),c_0_25]),c_0_25]),c_0_25]),c_0_25]) ).
fof(c_0_52,plain,
( ( leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [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) ) )
=> epred3_0 ),
inference(split_equiv,[status(thm)],[c_0_37]) ).
fof(c_0_53,plain,
! [X207,X208,X209,X210,X211,X212] :
( ( leq(n0,pv5)
| ~ epred2_0 )
& ( leq(pv5,minus(n999,n1))
| ~ epred2_0 )
& ( ~ leq(n0,X207)
| ~ leq(n0,X208)
| ~ leq(X207,minus(n6,n1))
| ~ leq(X208,minus(n6,n1))
| a_select3(q_ds1_filter,X207,X208) = a_select3(q_ds1_filter,X208,X207)
| ~ epred2_0 )
& ( ~ leq(n0,X209)
| ~ leq(n0,X210)
| ~ leq(X209,minus(n3,n1))
| ~ leq(X210,minus(n3,n1))
| a_select3(r_ds1_filter,X209,X210) = a_select3(r_ds1_filter,X210,X209)
| ~ epred2_0 )
& ( ~ leq(n0,X211)
| ~ leq(n0,X212)
| ~ leq(X211,minus(n6,n1))
| ~ leq(X212,minus(n6,n1))
| a_select3(pminus_ds1_filter,X211,X212) = a_select3(pminus_ds1_filter,X212,X211)
| ~ epred2_0 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_44])])])]) ).
fof(c_0_54,negated_conjecture,
( epred2_0
& ( leq(n0,esk26_0)
| leq(n0,esk24_0)
| ~ epred3_0 )
& ( leq(esk26_0,minus(n0,n1))
| leq(n0,esk24_0)
| ~ epred3_0 )
& ( leq(n0,esk27_0)
| leq(n0,esk24_0)
| ~ epred3_0 )
& ( leq(esk27_0,minus(n6,n1))
| leq(n0,esk24_0)
| ~ epred3_0 )
& ( a_select3(id_ds1_filter,esk26_0,esk27_0) != a_select3(id_ds1_filter,esk27_0,esk26_0)
| leq(n0,esk24_0)
| ~ epred3_0 )
& ( leq(n0,esk26_0)
| leq(n0,esk25_0)
| ~ epred3_0 )
& ( leq(esk26_0,minus(n0,n1))
| leq(n0,esk25_0)
| ~ epred3_0 )
& ( leq(n0,esk27_0)
| leq(n0,esk25_0)
| ~ epred3_0 )
& ( leq(esk27_0,minus(n6,n1))
| leq(n0,esk25_0)
| ~ epred3_0 )
& ( a_select3(id_ds1_filter,esk26_0,esk27_0) != a_select3(id_ds1_filter,esk27_0,esk26_0)
| leq(n0,esk25_0)
| ~ epred3_0 )
& ( leq(n0,esk26_0)
| leq(esk24_0,minus(n6,n1))
| ~ epred3_0 )
& ( leq(esk26_0,minus(n0,n1))
| leq(esk24_0,minus(n6,n1))
| ~ epred3_0 )
& ( leq(n0,esk27_0)
| leq(esk24_0,minus(n6,n1))
| ~ epred3_0 )
& ( leq(esk27_0,minus(n6,n1))
| leq(esk24_0,minus(n6,n1))
| ~ epred3_0 )
& ( a_select3(id_ds1_filter,esk26_0,esk27_0) != a_select3(id_ds1_filter,esk27_0,esk26_0)
| leq(esk24_0,minus(n6,n1))
| ~ epred3_0 )
& ( leq(n0,esk26_0)
| leq(esk25_0,minus(n6,n1))
| ~ epred3_0 )
& ( leq(esk26_0,minus(n0,n1))
| leq(esk25_0,minus(n6,n1))
| ~ epred3_0 )
& ( leq(n0,esk27_0)
| leq(esk25_0,minus(n6,n1))
| ~ epred3_0 )
& ( leq(esk27_0,minus(n6,n1))
| leq(esk25_0,minus(n6,n1))
| ~ epred3_0 )
& ( a_select3(id_ds1_filter,esk26_0,esk27_0) != a_select3(id_ds1_filter,esk27_0,esk26_0)
| leq(esk25_0,minus(n6,n1))
| ~ epred3_0 )
& ( leq(n0,esk26_0)
| a_select3(pminus_ds1_filter,esk24_0,esk25_0) != a_select3(pminus_ds1_filter,esk25_0,esk24_0)
| ~ epred3_0 )
& ( leq(esk26_0,minus(n0,n1))
| a_select3(pminus_ds1_filter,esk24_0,esk25_0) != a_select3(pminus_ds1_filter,esk25_0,esk24_0)
| ~ epred3_0 )
& ( leq(n0,esk27_0)
| a_select3(pminus_ds1_filter,esk24_0,esk25_0) != a_select3(pminus_ds1_filter,esk25_0,esk24_0)
| ~ epred3_0 )
& ( leq(esk27_0,minus(n6,n1))
| a_select3(pminus_ds1_filter,esk24_0,esk25_0) != a_select3(pminus_ds1_filter,esk25_0,esk24_0)
| ~ epred3_0 )
& ( a_select3(id_ds1_filter,esk26_0,esk27_0) != a_select3(id_ds1_filter,esk27_0,esk26_0)
| a_select3(pminus_ds1_filter,esk24_0,esk25_0) != a_select3(pminus_ds1_filter,esk25_0,esk24_0)
| ~ epred3_0 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_45])])])]) ).
fof(c_0_55,plain,
! [X140] : plus(n2,X140) = succ(succ(X140)),
inference(variable_rename,[status(thm)],[succ_plus_2_l]) ).
cnf(c_0_56,plain,
plus(X1,n2) = succ(succ(X1)),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_57,plain,
minus(plus(X1,n1),n1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_25]),c_0_48]) ).
cnf(c_0_58,plain,
plus(n1,plus(n1,n4)) = 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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_30]),c_0_34]),c_0_35]),c_0_42]),c_0_35]),c_0_50]),c_0_35]),c_0_35]) ).
cnf(c_0_59,plain,
plus(n1,n4) = n5,
inference(rw,[status(thm)],[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_51,c_0_30]),c_0_34]),c_0_35]),c_0_42]),c_0_35]),c_0_50]),c_0_35]) ).
fof(c_0_60,plain,
( ( leq(n0,esk34_0)
| leq(n0,esk32_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( leq(n0,esk35_0)
| leq(n0,esk32_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( leq(esk34_0,minus(n3,n1))
| leq(n0,esk32_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( leq(esk35_0,minus(n3,n1))
| leq(n0,esk32_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( a_select3(r_ds1_filter,esk34_0,esk35_0) != a_select3(r_ds1_filter,esk35_0,esk34_0)
| leq(n0,esk32_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( leq(n0,esk34_0)
| leq(n0,esk33_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( leq(n0,esk35_0)
| leq(n0,esk33_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( leq(esk34_0,minus(n3,n1))
| leq(n0,esk33_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( leq(esk35_0,minus(n3,n1))
| leq(n0,esk33_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( a_select3(r_ds1_filter,esk34_0,esk35_0) != a_select3(r_ds1_filter,esk35_0,esk34_0)
| leq(n0,esk33_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( leq(n0,esk34_0)
| leq(esk32_0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( leq(n0,esk35_0)
| leq(esk32_0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( leq(esk34_0,minus(n3,n1))
| leq(esk32_0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( leq(esk35_0,minus(n3,n1))
| leq(esk32_0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( a_select3(r_ds1_filter,esk34_0,esk35_0) != a_select3(r_ds1_filter,esk35_0,esk34_0)
| leq(esk32_0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( leq(n0,esk34_0)
| leq(esk33_0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( leq(n0,esk35_0)
| leq(esk33_0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( leq(esk34_0,minus(n3,n1))
| leq(esk33_0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( leq(esk35_0,minus(n3,n1))
| leq(esk33_0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( a_select3(r_ds1_filter,esk34_0,esk35_0) != a_select3(r_ds1_filter,esk35_0,esk34_0)
| leq(esk33_0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( leq(n0,esk34_0)
| a_select3(q_ds1_filter,esk32_0,esk33_0) != a_select3(q_ds1_filter,esk33_0,esk32_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( leq(n0,esk35_0)
| a_select3(q_ds1_filter,esk32_0,esk33_0) != a_select3(q_ds1_filter,esk33_0,esk32_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( leq(esk34_0,minus(n3,n1))
| a_select3(q_ds1_filter,esk32_0,esk33_0) != a_select3(q_ds1_filter,esk33_0,esk32_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( leq(esk35_0,minus(n3,n1))
| a_select3(q_ds1_filter,esk32_0,esk33_0) != a_select3(q_ds1_filter,esk33_0,esk32_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 )
& ( a_select3(r_ds1_filter,esk34_0,esk35_0) != a_select3(r_ds1_filter,esk35_0,esk34_0)
| a_select3(q_ds1_filter,esk32_0,esk33_0) != a_select3(q_ds1_filter,esk33_0,esk32_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| epred3_0 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_52])])])]) ).
cnf(c_0_61,plain,
( leq(n0,pv5)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_62,negated_conjecture,
epred2_0,
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_63,plain,
( leq(pv5,minus(n999,n1))
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_64,plain,
plus(n2,X1) = succ(succ(X1)),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_65,plain,
plus(X1,n2) = plus(plus(X1,n1),n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_25]),c_0_25]) ).
cnf(c_0_66,plain,
( a_select3(q_ds1_filter,X1,X2) = a_select3(q_ds1_filter,X2,X1)
| ~ leq(n0,X1)
| ~ leq(n0,X2)
| ~ leq(X1,minus(n6,n1))
| ~ leq(X2,minus(n6,n1))
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_67,plain,
minus(plus(n1,X1),n1) = X1,
inference(spm,[status(thm)],[c_0_57,c_0_35]) ).
cnf(c_0_68,plain,
plus(n1,n5) = n6,
inference(rw,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_69,plain,
( leq(esk32_0,minus(n6,n1))
| epred3_0
| a_select3(r_ds1_filter,esk34_0,esk35_0) != a_select3(r_ds1_filter,esk35_0,esk34_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_70,plain,
leq(n0,pv5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_62])]) ).
cnf(c_0_71,plain,
leq(pv5,minus(n999,n1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_62])]) ).
cnf(c_0_72,plain,
( leq(esk33_0,minus(n6,n1))
| epred3_0
| a_select3(r_ds1_filter,esk34_0,esk35_0) != a_select3(r_ds1_filter,esk35_0,esk34_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_73,plain,
plus(n2,X1) = plus(plus(X1,n1),n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_25]),c_0_25]) ).
cnf(c_0_74,plain,
plus(n1,plus(X1,n1)) = plus(X1,n2),
inference(rw,[status(thm)],[c_0_65,c_0_35]) ).
fof(c_0_75,plain,
! [X1] : ~ gt(X1,X1),
inference(fof_simplification,[status(thm)],[irreflexivity_gt]) ).
fof(c_0_76,plain,
! [X152,X153] :
( ~ leq(succ(X152),X153)
| gt(X153,X152) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_succ_gt])]) ).
cnf(c_0_77,plain,
( epred3_0
| a_select3(r_ds1_filter,esk34_0,esk35_0) != a_select3(r_ds1_filter,esk35_0,esk34_0)
| a_select3(q_ds1_filter,esk32_0,esk33_0) != a_select3(q_ds1_filter,esk33_0,esk32_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_78,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_66,c_0_62])]) ).
cnf(c_0_79,plain,
minus(n6,n1) = n5,
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_80,plain,
( leq(n0,esk32_0)
| epred3_0
| a_select3(r_ds1_filter,esk34_0,esk35_0) != a_select3(r_ds1_filter,esk35_0,esk34_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_81,plain,
( leq(n0,esk33_0)
| epred3_0
| a_select3(r_ds1_filter,esk34_0,esk35_0) != a_select3(r_ds1_filter,esk35_0,esk34_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_82,plain,
( epred3_0
| leq(esk32_0,minus(n6,n1))
| a_select3(r_ds1_filter,esk35_0,esk34_0) != a_select3(r_ds1_filter,esk34_0,esk35_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_69,c_0_70]),c_0_71])]) ).
cnf(c_0_83,plain,
( epred3_0
| leq(esk33_0,minus(n6,n1))
| a_select3(r_ds1_filter,esk35_0,esk34_0) != a_select3(r_ds1_filter,esk34_0,esk35_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_72,c_0_70]),c_0_71])]) ).
cnf(c_0_84,plain,
( a_select3(r_ds1_filter,X1,X2) = a_select3(r_ds1_filter,X2,X1)
| ~ leq(n0,X1)
| ~ leq(n0,X2)
| ~ leq(X1,minus(n3,n1))
| ~ leq(X2,minus(n3,n1))
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_85,plain,
plus(X1,n2) = plus(n2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_35]),c_0_74]) ).
fof(c_0_86,plain,
! [X35] : ~ gt(X35,X35),
inference(variable_rename,[status(thm)],[c_0_75]) ).
cnf(c_0_87,plain,
( gt(X2,X1)
| ~ leq(succ(X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
fof(c_0_88,plain,
! [X149] : succ(pred(X149)) = X149,
inference(variable_rename,[status(thm)],[succ_pred]) ).
cnf(c_0_89,plain,
( epred3_0
| a_select3(q_ds1_filter,esk33_0,esk32_0) != a_select3(q_ds1_filter,esk32_0,esk33_0)
| a_select3(r_ds1_filter,esk35_0,esk34_0) != a_select3(r_ds1_filter,esk34_0,esk35_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_77,c_0_70])]),c_0_71])]) ).
cnf(c_0_90,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_78,c_0_79]),c_0_79]) ).
cnf(c_0_91,plain,
( epred3_0
| leq(n0,esk32_0)
| a_select3(r_ds1_filter,esk35_0,esk34_0) != a_select3(r_ds1_filter,esk34_0,esk35_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_70]),c_0_71])]) ).
cnf(c_0_92,plain,
( epred3_0
| leq(n0,esk33_0)
| a_select3(r_ds1_filter,esk35_0,esk34_0) != a_select3(r_ds1_filter,esk34_0,esk35_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_81,c_0_70]),c_0_71])]) ).
cnf(c_0_93,plain,
( epred3_0
| leq(esk32_0,n5)
| a_select3(r_ds1_filter,esk35_0,esk34_0) != a_select3(r_ds1_filter,esk34_0,esk35_0) ),
inference(rw,[status(thm)],[c_0_82,c_0_79]) ).
cnf(c_0_94,plain,
( epred3_0
| leq(esk33_0,n5)
| a_select3(r_ds1_filter,esk35_0,esk34_0) != a_select3(r_ds1_filter,esk34_0,esk35_0) ),
inference(rw,[status(thm)],[c_0_83,c_0_79]) ).
cnf(c_0_95,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_84,c_0_62])]) ).
cnf(c_0_96,plain,
minus(n3,n1) = n2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_85]),c_0_42]) ).
cnf(c_0_97,plain,
( leq(esk35_0,minus(n3,n1))
| leq(n0,esk32_0)
| epred3_0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_98,plain,
( leq(esk34_0,minus(n3,n1))
| leq(n0,esk32_0)
| epred3_0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_99,plain,
( leq(esk35_0,minus(n3,n1))
| leq(n0,esk33_0)
| epred3_0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_100,plain,
( leq(esk34_0,minus(n3,n1))
| leq(n0,esk33_0)
| epred3_0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_101,plain,
~ gt(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_102,plain,
( gt(X2,X1)
| ~ leq(plus(X1,n1),X2) ),
inference(rw,[status(thm)],[c_0_87,c_0_25]) ).
fof(c_0_103,plain,
! [X37,X38,X39] :
( ~ leq(X37,X38)
| ~ leq(X38,X39)
| leq(X37,X39) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[transitivity_leq])]) ).
cnf(c_0_104,plain,
succ(pred(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_105,plain,
( leq(esk35_0,minus(n3,n1))
| epred3_0
| a_select3(q_ds1_filter,esk32_0,esk33_0) != a_select3(q_ds1_filter,esk33_0,esk32_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_106,plain,
( epred3_0
| a_select3(r_ds1_filter,esk35_0,esk34_0) != a_select3(r_ds1_filter,esk34_0,esk35_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_91]),c_0_92]),c_0_93]),c_0_94]) ).
cnf(c_0_107,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_95,c_0_96]),c_0_96]) ).
cnf(c_0_108,plain,
( epred3_0
| leq(esk35_0,minus(n3,n1))
| leq(n0,esk32_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_70]),c_0_71])]) ).
cnf(c_0_109,plain,
( leq(n0,esk35_0)
| leq(n0,esk32_0)
| epred3_0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_110,plain,
( leq(n0,esk34_0)
| leq(n0,esk32_0)
| epred3_0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_111,plain,
( epred3_0
| leq(esk34_0,minus(n3,n1))
| leq(n0,esk32_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_98,c_0_70]),c_0_71])]) ).
cnf(c_0_112,plain,
( epred3_0
| leq(esk35_0,minus(n3,n1))
| leq(n0,esk33_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_99,c_0_70]),c_0_71])]) ).
cnf(c_0_113,plain,
( leq(n0,esk35_0)
| leq(n0,esk33_0)
| epred3_0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_114,plain,
( leq(n0,esk34_0)
| leq(n0,esk33_0)
| epred3_0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_115,plain,
( epred3_0
| leq(esk34_0,minus(n3,n1))
| leq(n0,esk33_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_100,c_0_70]),c_0_71])]) ).
cnf(c_0_116,plain,
( leq(esk35_0,minus(n3,n1))
| leq(esk32_0,minus(n6,n1))
| epred3_0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_117,plain,
( leq(esk35_0,minus(n3,n1))
| leq(esk33_0,minus(n6,n1))
| epred3_0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_118,plain,
( leq(n0,esk35_0)
| leq(esk32_0,minus(n6,n1))
| epred3_0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_119,plain,
( leq(n0,esk35_0)
| leq(esk33_0,minus(n6,n1))
| epred3_0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_120,plain,
( leq(n0,esk34_0)
| leq(esk32_0,minus(n6,n1))
| epred3_0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_121,plain,
( leq(n0,esk34_0)
| leq(esk33_0,minus(n6,n1))
| epred3_0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_122,plain,
( leq(esk34_0,minus(n3,n1))
| epred3_0
| a_select3(q_ds1_filter,esk32_0,esk33_0) != a_select3(q_ds1_filter,esk33_0,esk32_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_123,plain,
( leq(esk34_0,minus(n3,n1))
| leq(esk32_0,minus(n6,n1))
| epred3_0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_124,plain,
( leq(esk34_0,minus(n3,n1))
| leq(esk33_0,minus(n6,n1))
| epred3_0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_125,plain,
succ(tptp_minus_1) = n0,
inference(split_conjunct,[status(thm)],[succ_tptp_minus_1]) ).
cnf(c_0_126,plain,
~ leq(plus(X1,n1),X1),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_127,plain,
( leq(X1,X3)
| ~ leq(X1,X2)
| ~ leq(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_128,negated_conjecture,
( leq(esk26_0,minus(n0,n1))
| a_select3(pminus_ds1_filter,esk24_0,esk25_0) != a_select3(pminus_ds1_filter,esk25_0,esk24_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_129,plain,
plus(minus(X1,n1),n1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_104,c_0_25]),c_0_48]) ).
cnf(c_0_130,plain,
( a_select3(pminus_ds1_filter,X1,X2) = a_select3(pminus_ds1_filter,X2,X1)
| ~ leq(n0,X1)
| ~ leq(n0,X2)
| ~ leq(X1,minus(n6,n1))
| ~ leq(X2,minus(n6,n1))
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_131,plain,
( epred3_0
| leq(esk35_0,minus(n3,n1))
| a_select3(q_ds1_filter,esk33_0,esk32_0) != a_select3(q_ds1_filter,esk32_0,esk33_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_105,c_0_70]),c_0_71])]) ).
cnf(c_0_132,plain,
( epred3_0
| ~ leq(esk34_0,n2)
| ~ leq(esk35_0,n2)
| ~ leq(n0,esk34_0)
| ~ leq(n0,esk35_0) ),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_133,plain,
( epred3_0
| leq(n0,esk32_0)
| leq(esk35_0,n2) ),
inference(rw,[status(thm)],[c_0_108,c_0_96]) ).
cnf(c_0_134,plain,
( epred3_0
| leq(n0,esk35_0)
| leq(n0,esk32_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_109,c_0_70]),c_0_71])]) ).
cnf(c_0_135,plain,
( epred3_0
| leq(n0,esk34_0)
| leq(n0,esk32_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_110,c_0_70]),c_0_71])]) ).
cnf(c_0_136,plain,
( epred3_0
| leq(n0,esk32_0)
| leq(esk34_0,n2) ),
inference(rw,[status(thm)],[c_0_111,c_0_96]) ).
cnf(c_0_137,plain,
( epred3_0
| leq(n0,esk33_0)
| leq(esk35_0,n2) ),
inference(rw,[status(thm)],[c_0_112,c_0_96]) ).
cnf(c_0_138,plain,
( epred3_0
| leq(n0,esk35_0)
| leq(n0,esk33_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_113,c_0_70]),c_0_71])]) ).
cnf(c_0_139,plain,
( epred3_0
| leq(n0,esk34_0)
| leq(n0,esk33_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_114,c_0_70]),c_0_71])]) ).
cnf(c_0_140,plain,
( epred3_0
| leq(n0,esk33_0)
| leq(esk34_0,n2) ),
inference(rw,[status(thm)],[c_0_115,c_0_96]) ).
cnf(c_0_141,plain,
( epred3_0
| leq(esk35_0,minus(n3,n1))
| leq(esk32_0,minus(n6,n1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_116,c_0_70]),c_0_71])]) ).
cnf(c_0_142,plain,
( epred3_0
| leq(esk35_0,minus(n3,n1))
| leq(esk33_0,minus(n6,n1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_117,c_0_70]),c_0_71])]) ).
cnf(c_0_143,plain,
( leq(n0,esk35_0)
| epred3_0
| a_select3(q_ds1_filter,esk32_0,esk33_0) != a_select3(q_ds1_filter,esk33_0,esk32_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_144,plain,
( epred3_0
| leq(esk32_0,minus(n6,n1))
| leq(n0,esk35_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_118,c_0_70]),c_0_71])]) ).
cnf(c_0_145,plain,
( epred3_0
| leq(esk33_0,minus(n6,n1))
| leq(n0,esk35_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_119,c_0_70]),c_0_71])]) ).
cnf(c_0_146,plain,
( leq(n0,esk34_0)
| epred3_0
| a_select3(q_ds1_filter,esk32_0,esk33_0) != a_select3(q_ds1_filter,esk33_0,esk32_0)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_147,plain,
( epred3_0
| leq(esk32_0,minus(n6,n1))
| leq(n0,esk34_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_120,c_0_70]),c_0_71])]) ).
cnf(c_0_148,plain,
( epred3_0
| leq(esk33_0,minus(n6,n1))
| leq(n0,esk34_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_121,c_0_70]),c_0_71])]) ).
cnf(c_0_149,plain,
( epred3_0
| leq(esk34_0,minus(n3,n1))
| a_select3(q_ds1_filter,esk33_0,esk32_0) != a_select3(q_ds1_filter,esk32_0,esk33_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_122,c_0_70]),c_0_71])]) ).
cnf(c_0_150,plain,
( epred3_0
| leq(esk34_0,minus(n3,n1))
| leq(esk32_0,minus(n6,n1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_123,c_0_70]),c_0_71])]) ).
cnf(c_0_151,plain,
( epred3_0
| leq(esk34_0,minus(n3,n1))
| leq(esk33_0,minus(n6,n1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_124,c_0_70]),c_0_71])]) ).
cnf(c_0_152,plain,
plus(tptp_minus_1,n1) = n0,
inference(rw,[status(thm)],[c_0_125,c_0_25]) ).
cnf(c_0_153,plain,
~ leq(plus(n1,X1),X1),
inference(spm,[status(thm)],[c_0_126,c_0_35]) ).
cnf(c_0_154,negated_conjecture,
( leq(X1,minus(n0,n1))
| a_select3(pminus_ds1_filter,esk25_0,esk24_0) != a_select3(pminus_ds1_filter,esk24_0,esk25_0)
| ~ epred3_0
| ~ leq(X1,esk26_0) ),
inference(spm,[status(thm)],[c_0_127,c_0_128]) ).
cnf(c_0_155,plain,
plus(n1,minus(X1,n1)) = X1,
inference(rw,[status(thm)],[c_0_129,c_0_35]) ).
cnf(c_0_156,negated_conjecture,
( leq(n0,esk26_0)
| a_select3(pminus_ds1_filter,esk24_0,esk25_0) != a_select3(pminus_ds1_filter,esk25_0,esk24_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_157,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_130,c_0_62])]) ).
cnf(c_0_158,plain,
( epred3_0
| leq(esk35_0,n2)
| a_select3(q_ds1_filter,esk33_0,esk32_0) != a_select3(q_ds1_filter,esk32_0,esk33_0) ),
inference(rw,[status(thm)],[c_0_131,c_0_96]) ).
cnf(c_0_159,plain,
( epred3_0
| leq(n0,esk32_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_134]),c_0_135]),c_0_136]) ).
cnf(c_0_160,plain,
( epred3_0
| leq(n0,esk33_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_137]),c_0_138]),c_0_139]),c_0_140]) ).
cnf(c_0_161,plain,
( epred3_0
| leq(esk32_0,n5)
| leq(esk35_0,n2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_141,c_0_96]),c_0_79]) ).
cnf(c_0_162,plain,
( epred3_0
| leq(esk33_0,n5)
| leq(esk35_0,n2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_142,c_0_96]),c_0_79]) ).
cnf(c_0_163,plain,
( epred3_0
| leq(n0,esk35_0)
| a_select3(q_ds1_filter,esk33_0,esk32_0) != a_select3(q_ds1_filter,esk32_0,esk33_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_143,c_0_70]),c_0_71])]) ).
cnf(c_0_164,plain,
( epred3_0
| leq(n0,esk35_0)
| leq(esk32_0,n5) ),
inference(rw,[status(thm)],[c_0_144,c_0_79]) ).
cnf(c_0_165,plain,
( epred3_0
| leq(n0,esk35_0)
| leq(esk33_0,n5) ),
inference(rw,[status(thm)],[c_0_145,c_0_79]) ).
cnf(c_0_166,plain,
( epred3_0
| leq(n0,esk34_0)
| a_select3(q_ds1_filter,esk33_0,esk32_0) != a_select3(q_ds1_filter,esk32_0,esk33_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_146,c_0_70]),c_0_71])]) ).
cnf(c_0_167,plain,
( epred3_0
| leq(n0,esk34_0)
| leq(esk32_0,n5) ),
inference(rw,[status(thm)],[c_0_147,c_0_79]) ).
cnf(c_0_168,plain,
( epred3_0
| leq(n0,esk34_0)
| leq(esk33_0,n5) ),
inference(rw,[status(thm)],[c_0_148,c_0_79]) ).
cnf(c_0_169,plain,
( epred3_0
| leq(esk34_0,n2)
| a_select3(q_ds1_filter,esk33_0,esk32_0) != a_select3(q_ds1_filter,esk32_0,esk33_0) ),
inference(rw,[status(thm)],[c_0_149,c_0_96]) ).
cnf(c_0_170,plain,
( epred3_0
| leq(esk32_0,n5)
| leq(esk34_0,n2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_150,c_0_96]),c_0_79]) ).
cnf(c_0_171,plain,
( epred3_0
| leq(esk33_0,n5)
| leq(esk34_0,n2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_151,c_0_96]),c_0_79]) ).
cnf(c_0_172,negated_conjecture,
( leq(esk26_0,minus(n0,n1))
| leq(esk25_0,minus(n6,n1))
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_173,plain,
plus(n1,tptp_minus_1) = n0,
inference(rw,[status(thm)],[c_0_152,c_0_35]) ).
cnf(c_0_174,negated_conjecture,
( leq(esk26_0,minus(n0,n1))
| leq(esk24_0,minus(n6,n1))
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
fof(c_0_175,plain,
! [X44,X45] :
( ~ gt(X45,X44)
| leq(X44,X45) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_gt1])]) ).
cnf(c_0_176,negated_conjecture,
( a_select3(pminus_ds1_filter,esk25_0,esk24_0) != a_select3(pminus_ds1_filter,esk24_0,esk25_0)
| ~ epred3_0 ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_154]),c_0_155]),c_0_156]) ).
cnf(c_0_177,plain,
( a_select3(pminus_ds1_filter,X1,X2) = a_select3(pminus_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_157,c_0_79]),c_0_79]) ).
cnf(c_0_178,plain,
( epred3_0
| leq(esk35_0,n2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_90]),c_0_159]),c_0_160]),c_0_161]),c_0_162]) ).
cnf(c_0_179,plain,
( epred3_0
| leq(n0,esk35_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_90]),c_0_159]),c_0_160]),c_0_164]),c_0_165]) ).
cnf(c_0_180,plain,
( epred3_0
| leq(n0,esk34_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_90]),c_0_159]),c_0_160]),c_0_167]),c_0_168]) ).
cnf(c_0_181,plain,
( epred3_0
| leq(esk34_0,n2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_90]),c_0_159]),c_0_160]),c_0_170]),c_0_171]) ).
cnf(c_0_182,negated_conjecture,
( leq(esk26_0,minus(n0,n1))
| leq(esk25_0,n5)
| ~ epred3_0 ),
inference(rw,[status(thm)],[c_0_172,c_0_79]) ).
cnf(c_0_183,plain,
minus(n0,n1) = tptp_minus_1,
inference(spm,[status(thm)],[c_0_67,c_0_173]) ).
cnf(c_0_184,negated_conjecture,
( leq(esk26_0,minus(n0,n1))
| leq(n0,esk24_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_185,negated_conjecture,
( leq(esk26_0,minus(n0,n1))
| leq(n0,esk25_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_186,negated_conjecture,
( leq(esk26_0,minus(n0,n1))
| leq(esk24_0,n5)
| ~ epred3_0 ),
inference(rw,[status(thm)],[c_0_174,c_0_79]) ).
cnf(c_0_187,plain,
( leq(X2,X1)
| ~ gt(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_175]) ).
cnf(c_0_188,plain,
gt(n1,tptp_minus_1),
inference(split_conjunct,[status(thm)],[gt_1_tptp_minus_1]) ).
cnf(c_0_189,negated_conjecture,
( ~ epred3_0
| ~ leq(esk25_0,n5)
| ~ leq(esk24_0,n5)
| ~ leq(n0,esk25_0)
| ~ leq(n0,esk24_0) ),
inference(spm,[status(thm)],[c_0_176,c_0_177]) ).
cnf(c_0_190,plain,
epred3_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_178]),c_0_179]),c_0_180]),c_0_181]) ).
cnf(c_0_191,negated_conjecture,
( leq(esk25_0,n5)
| leq(esk26_0,tptp_minus_1)
| ~ epred3_0 ),
inference(rw,[status(thm)],[c_0_182,c_0_183]) ).
cnf(c_0_192,negated_conjecture,
( leq(n0,esk24_0)
| leq(esk26_0,tptp_minus_1)
| ~ epred3_0 ),
inference(rw,[status(thm)],[c_0_184,c_0_183]) ).
cnf(c_0_193,negated_conjecture,
( leq(n0,esk25_0)
| leq(esk26_0,tptp_minus_1)
| ~ epred3_0 ),
inference(rw,[status(thm)],[c_0_185,c_0_183]) ).
cnf(c_0_194,negated_conjecture,
( leq(esk24_0,n5)
| leq(esk26_0,tptp_minus_1)
| ~ epred3_0 ),
inference(rw,[status(thm)],[c_0_186,c_0_183]) ).
cnf(c_0_195,negated_conjecture,
( leq(n0,esk26_0)
| leq(esk25_0,minus(n6,n1))
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_196,negated_conjecture,
( leq(n0,esk26_0)
| leq(esk24_0,minus(n6,n1))
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
fof(c_0_197,plain,
! [X32,X33,X34] :
( ~ gt(X32,X33)
| ~ gt(X33,X34)
| gt(X32,X34) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[transitivity_gt])]) ).
cnf(c_0_198,plain,
leq(tptp_minus_1,n1),
inference(spm,[status(thm)],[c_0_187,c_0_188]) ).
cnf(c_0_199,negated_conjecture,
( ~ leq(esk25_0,n5)
| ~ leq(esk24_0,n5)
| ~ leq(n0,esk25_0)
| ~ leq(n0,esk24_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_189,c_0_190])]) ).
cnf(c_0_200,negated_conjecture,
( leq(esk26_0,tptp_minus_1)
| leq(esk25_0,n5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_191,c_0_190])]) ).
cnf(c_0_201,negated_conjecture,
( leq(esk26_0,tptp_minus_1)
| leq(n0,esk24_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_192,c_0_190])]) ).
cnf(c_0_202,negated_conjecture,
( leq(esk26_0,tptp_minus_1)
| leq(n0,esk25_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_193,c_0_190])]) ).
cnf(c_0_203,negated_conjecture,
( leq(esk26_0,tptp_minus_1)
| leq(esk24_0,n5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_194,c_0_190])]) ).
cnf(c_0_204,negated_conjecture,
( leq(n0,esk26_0)
| leq(esk25_0,n5)
| ~ epred3_0 ),
inference(rw,[status(thm)],[c_0_195,c_0_79]) ).
cnf(c_0_205,negated_conjecture,
( leq(n0,esk26_0)
| leq(n0,esk24_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_206,negated_conjecture,
( leq(n0,esk26_0)
| leq(n0,esk25_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_207,negated_conjecture,
( leq(n0,esk26_0)
| leq(esk24_0,n5)
| ~ epred3_0 ),
inference(rw,[status(thm)],[c_0_196,c_0_79]) ).
cnf(c_0_208,plain,
( gt(X1,X3)
| ~ gt(X1,X2)
| ~ gt(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_197]) ).
cnf(c_0_209,plain,
gt(n0,tptp_minus_1),
inference(split_conjunct,[status(thm)],[gt_0_tptp_minus_1]) ).
fof(c_0_210,plain,
! [X196] :
( ~ leq(n0,X196)
| ~ leq(X196,n1)
| X196 = n0
| X196 = n1 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[finite_domain_1])]) ).
cnf(c_0_211,plain,
( leq(X1,n1)
| ~ leq(X1,tptp_minus_1) ),
inference(spm,[status(thm)],[c_0_127,c_0_198]) ).
cnf(c_0_212,negated_conjecture,
leq(esk26_0,tptp_minus_1),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_200]),c_0_201]),c_0_202]),c_0_203]) ).
cnf(c_0_213,negated_conjecture,
( leq(esk25_0,n5)
| leq(n0,esk26_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_204,c_0_190])]) ).
cnf(c_0_214,negated_conjecture,
( leq(n0,esk24_0)
| leq(n0,esk26_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_205,c_0_190])]) ).
cnf(c_0_215,negated_conjecture,
( leq(n0,esk25_0)
| leq(n0,esk26_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_206,c_0_190])]) ).
cnf(c_0_216,negated_conjecture,
( leq(esk24_0,n5)
| leq(n0,esk26_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_207,c_0_190])]) ).
cnf(c_0_217,plain,
( gt(X1,tptp_minus_1)
| ~ gt(X1,n0) ),
inference(spm,[status(thm)],[c_0_208,c_0_209]) ).
cnf(c_0_218,plain,
( X1 = n0
| X1 = n1
| ~ leq(n0,X1)
| ~ leq(X1,n1) ),
inference(split_conjunct,[status(thm)],[c_0_210]) ).
cnf(c_0_219,negated_conjecture,
leq(esk26_0,n1),
inference(spm,[status(thm)],[c_0_211,c_0_212]) ).
cnf(c_0_220,negated_conjecture,
leq(n0,esk26_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_213]),c_0_214]),c_0_215]),c_0_216]) ).
cnf(c_0_221,plain,
~ gt(tptp_minus_1,n0),
inference(spm,[status(thm)],[c_0_101,c_0_217]) ).
cnf(c_0_222,negated_conjecture,
( esk26_0 = n0
| esk26_0 = n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_219]),c_0_220])]) ).
cnf(c_0_223,plain,
~ leq(n1,tptp_minus_1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_102]),c_0_30]) ).
cnf(c_0_224,negated_conjecture,
esk26_0 = n0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_222]),c_0_223]) ).
cnf(c_0_225,plain,
~ leq(n0,tptp_minus_1),
inference(spm,[status(thm)],[c_0_153,c_0_173]) ).
cnf(c_0_226,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_212,c_0_224]),c_0_225]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV114+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.03/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n007.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 29 08:07:28 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.55 start to proof: theBenchmark
% 90.46/90.51 % Version : CSE_E---1.5
% 90.46/90.51 % Problem : theBenchmark.p
% 90.46/90.51 % Proof found
% 90.46/90.51 % SZS status Theorem for theBenchmark.p
% 90.46/90.51 % SZS output start Proof
% See solution above
% 90.46/90.52 % Total time : 89.938000 s
% 90.46/90.52 % SZS output end Proof
% 90.46/90.52 % Total time : 89.946000 s
%------------------------------------------------------------------------------