%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV114+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 02:53:45 PM UTC 2026
% Result : Theorem 87.92s 13.31s
% Output : CNFRefutation 87.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 25
% Syntax : Number of formulae : 228 ( 84 unt; 0 def)
% Number of atoms : 913 ( 157 equ)
% Maximal formula atoms : 125 ( 4 avg)
% Number of connectives : 981 ( 296 ~; 479 |; 165 &)
% ( 2 <=>; 39 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 4 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 27 ( 27 usr; 22 con; 0-3 aty)
% Number of variables : 150 ( 0 sgn 97 !; 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/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(quaternion_ds1_symm_0007,conjecture,
( ( ! [X21,X22] :
( ( leq(X22,minus(n6,n1))
& leq(X21,minus(n6,n1))
& leq(n0,X22)
& leq(n0,X21) )
=> a_select3(pminus_ds1_filter,X21,X22) = a_select3(pminus_ds1_filter,X22,X21) )
& ! [X4,X20] :
( ( leq(X20,minus(n3,n1))
& leq(X4,minus(n3,n1))
& leq(n0,X20)
& leq(n0,X4) )
=> a_select3(r_ds1_filter,X4,X20) = a_select3(r_ds1_filter,X20,X4) )
& ! [X14,X18] :
( ( leq(X18,minus(n6,n1))
& leq(X14,minus(n6,n1))
& leq(n0,X18)
& leq(n0,X14) )
=> a_select3(q_ds1_filter,X14,X18) = a_select3(q_ds1_filter,X18,X14) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) )
=> ( ! [X19] :
( ( leq(X19,minus(n0,n1))
& leq(n0,X19) )
=> ! [X15] :
( ( leq(X15,minus(n6,n1))
& leq(n0,X15) )
=> a_select3(id_ds1_filter,X19,X15) = a_select3(id_ds1_filter,X15,X19) ) )
& ! [X16,X6] :
( ( leq(X6,minus(n6,n1))
& leq(X16,minus(n6,n1))
& leq(n0,X6)
& leq(n0,X16) )
=> a_select3(pminus_ds1_filter,X16,X6) = a_select3(pminus_ds1_filter,X6,X16) )
& ! [X5,X11] :
( ( leq(X11,minus(n3,n1))
& leq(X5,minus(n3,n1))
& leq(n0,X11)
& leq(n0,X5) )
=> a_select3(r_ds1_filter,X5,X11) = a_select3(r_ds1_filter,X11,X5) )
& ! [X28,X29] :
( ( leq(X29,minus(n6,n1))
& leq(X28,minus(n6,n1))
& leq(n0,X29)
& leq(n0,X28) )
=> a_select3(q_ds1_filter,X28,X29) = a_select3(q_ds1_filter,X29,X28) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_symm_0007) ).
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(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(X2,X3)
& leq(X1,X2) )
=> 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(X2,X3)
& gt(X1,X2) )
=> 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(X1,n1)
& leq(n0,X1) )
=> ( X1 = n1
| X1 = n0 ) ),
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
<=> ( ! [X21,X22] :
( ( leq(X22,minus(n6,n1))
& leq(X21,minus(n6,n1))
& leq(n0,X22)
& leq(n0,X21) )
=> a_select3(pminus_ds1_filter,X21,X22) = a_select3(pminus_ds1_filter,X22,X21) )
& ! [X4,X20] :
( ( leq(X20,minus(n3,n1))
& leq(X4,minus(n3,n1))
& leq(n0,X20)
& leq(n0,X4) )
=> a_select3(r_ds1_filter,X4,X20) = a_select3(r_ds1_filter,X20,X4) )
& ! [X14,X18] :
( ( leq(X18,minus(n6,n1))
& leq(X14,minus(n6,n1))
& leq(n0,X18)
& leq(n0,X14) )
=> a_select3(q_ds1_filter,X14,X18) = a_select3(q_ds1_filter,X18,X14) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) ) ),
introduced(definition) ).
fof(c_0_37,negated_conjecture,
~ ( ( ! [X21,X22] :
( ( leq(X22,minus(n6,n1))
& leq(X21,minus(n6,n1))
& leq(n0,X22)
& leq(n0,X21) )
=> a_select3(pminus_ds1_filter,X21,X22) = a_select3(pminus_ds1_filter,X22,X21) )
& ! [X4,X20] :
( ( leq(X20,minus(n3,n1))
& leq(X4,minus(n3,n1))
& leq(n0,X20)
& leq(n0,X4) )
=> a_select3(r_ds1_filter,X4,X20) = a_select3(r_ds1_filter,X20,X4) )
& ! [X14,X18] :
( ( leq(X18,minus(n6,n1))
& leq(X14,minus(n6,n1))
& leq(n0,X18)
& leq(n0,X14) )
=> a_select3(q_ds1_filter,X14,X18) = a_select3(q_ds1_filter,X18,X14) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) )
=> ( ! [X19] :
( ( leq(X19,minus(n0,n1))
& leq(n0,X19) )
=> ! [X15] :
( ( leq(X15,minus(n6,n1))
& leq(n0,X15) )
=> a_select3(id_ds1_filter,X19,X15) = a_select3(id_ds1_filter,X15,X19) ) )
& ! [X16,X6] :
( ( leq(X6,minus(n6,n1))
& leq(X16,minus(n6,n1))
& leq(n0,X6)
& leq(n0,X16) )
=> a_select3(pminus_ds1_filter,X16,X6) = a_select3(pminus_ds1_filter,X6,X16) )
& ! [X5,X11] :
( ( leq(X11,minus(n3,n1))
& leq(X5,minus(n3,n1))
& leq(n0,X11)
& leq(n0,X5) )
=> a_select3(r_ds1_filter,X5,X11) = a_select3(r_ds1_filter,X11,X5) )
& ! [X28,X29] :
( ( leq(X29,minus(n6,n1))
& leq(X28,minus(n6,n1))
& leq(n0,X29)
& leq(n0,X28) )
=> a_select3(q_ds1_filter,X28,X29) = a_select3(q_ds1_filter,X29,X28) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) ) ),
inference(assume_negation,[status(cth)],[quaternion_ds1_symm_0007]) ).
fof(c_0_38,plain,
( epred3_0
<=> ( ! [X5,X11] :
( ( leq(X11,minus(n3,n1))
& leq(X5,minus(n3,n1))
& leq(n0,X11)
& leq(n0,X5) )
=> a_select3(r_ds1_filter,X5,X11) = a_select3(r_ds1_filter,X11,X5) )
& ! [X28,X29] :
( ( leq(X29,minus(n6,n1))
& leq(X28,minus(n6,n1))
& leq(n0,X29)
& leq(n0,X28) )
=> a_select3(q_ds1_filter,X28,X29) = a_select3(q_ds1_filter,X29,X28) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) ) ),
introduced(definition) ).
fof(c_0_39,plain,
! [X148] : pred(succ(X148)) = X148,
inference(variable_rename,[status(thm)],[pred_succ]) ).
fof(c_0_40,plain,
! [X147] : minus(X147,n1) = pred(X147),
inference(variable_rename,[status(thm)],[pred_minus_1]) ).
cnf(c_0_41,plain,
succ(succ(succ(succ(succ(succ(n0)))))) = n6,
inference(split_conjunct,[status(thm)],[successor_6]) ).
cnf(c_0_42,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_43,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_44,plain,
succ(succ(succ(succ(succ(n0))))) = n5,
inference(split_conjunct,[status(thm)],[successor_5]) ).
fof(c_0_45,plain,
( epred2_0
=> ( ! [X21,X22] :
( ( leq(X22,minus(n6,n1))
& leq(X21,minus(n6,n1))
& leq(n0,X22)
& leq(n0,X21) )
=> a_select3(pminus_ds1_filter,X21,X22) = a_select3(pminus_ds1_filter,X22,X21) )
& ! [X4,X20] :
( ( leq(X20,minus(n3,n1))
& leq(X4,minus(n3,n1))
& leq(n0,X20)
& leq(n0,X4) )
=> a_select3(r_ds1_filter,X4,X20) = a_select3(r_ds1_filter,X20,X4) )
& ! [X14,X18] :
( ( leq(X18,minus(n6,n1))
& leq(X14,minus(n6,n1))
& leq(n0,X18)
& leq(n0,X14) )
=> a_select3(q_ds1_filter,X14,X18) = a_select3(q_ds1_filter,X18,X14) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) ) ),
inference(split_equiv,[status(thm)],[c_0_36]) ).
fof(c_0_46,negated_conjecture,
~ ( epred2_0
=> ( ! [X19] :
( ( leq(X19,minus(n0,n1))
& leq(n0,X19) )
=> ! [X15] :
( ( leq(X15,minus(n6,n1))
& leq(n0,X15) )
=> a_select3(id_ds1_filter,X19,X15) = a_select3(id_ds1_filter,X15,X19) ) )
& ! [X16,X6] :
( ( leq(X6,minus(n6,n1))
& leq(X16,minus(n6,n1))
& leq(n0,X6)
& leq(n0,X16) )
=> a_select3(pminus_ds1_filter,X16,X6) = a_select3(pminus_ds1_filter,X6,X16) )
& epred3_0 ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_37,c_0_36]),c_0_38]) ).
fof(c_0_47,plain,
! [X139] : plus(X139,n2) = succ(succ(X139)),
inference(variable_rename,[status(thm)],[succ_plus_2_r]) ).
cnf(c_0_48,plain,
pred(succ(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_49,plain,
minus(X1,n1) = pred(X1),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_50,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_41,c_0_25]),c_0_25]),c_0_25]),c_0_25]),c_0_25]),c_0_25]) ).
cnf(c_0_51,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_42,c_0_30]),c_0_34]),c_0_35]),c_0_43]),c_0_35]) ).
cnf(c_0_52,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_44,c_0_25]),c_0_25]),c_0_25]),c_0_25]),c_0_25]) ).
fof(c_0_53,plain,
( ( ! [X5,X11] :
( ( leq(X11,minus(n3,n1))
& leq(X5,minus(n3,n1))
& leq(n0,X11)
& leq(n0,X5) )
=> a_select3(r_ds1_filter,X5,X11) = a_select3(r_ds1_filter,X11,X5) )
& ! [X28,X29] :
( ( leq(X29,minus(n6,n1))
& leq(X28,minus(n6,n1))
& leq(n0,X29)
& leq(n0,X28) )
=> a_select3(q_ds1_filter,X28,X29) = a_select3(q_ds1_filter,X29,X28) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) )
=> epred3_0 ),
inference(split_equiv,[status(thm)],[c_0_38]) ).
fof(c_0_54,plain,
! [X207,X208,X209,X210,X211,X212] :
( ( ~ epred2_0
| a_select3(pminus_ds1_filter,X211,X212) = a_select3(pminus_ds1_filter,X212,X211)
| ~ leq(X212,minus(n6,n1))
| ~ leq(X211,minus(n6,n1))
| ~ leq(n0,X212)
| ~ leq(n0,X211) )
& ( ~ epred2_0
| a_select3(r_ds1_filter,X209,X210) = a_select3(r_ds1_filter,X210,X209)
| ~ leq(X210,minus(n3,n1))
| ~ leq(X209,minus(n3,n1))
| ~ leq(n0,X210)
| ~ leq(n0,X209) )
& ( ~ epred2_0
| a_select3(q_ds1_filter,X207,X208) = a_select3(q_ds1_filter,X208,X207)
| ~ leq(X208,minus(n6,n1))
| ~ leq(X207,minus(n6,n1))
| ~ leq(n0,X208)
| ~ leq(n0,X207) )
& ( ~ epred2_0
| leq(pv5,minus(n999,n1)) )
& ( ~ epred2_0
| leq(n0,pv5) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_45])])])])]) ).
fof(c_0_55,negated_conjecture,
( ( ~ epred3_0
| a_select3(pminus_ds1_filter,esk24_0,esk25_0) != a_select3(pminus_ds1_filter,esk25_0,esk24_0)
| a_select3(id_ds1_filter,esk26_0,esk27_0) != a_select3(id_ds1_filter,esk27_0,esk26_0) )
& ( ~ epred3_0
| a_select3(pminus_ds1_filter,esk24_0,esk25_0) != a_select3(pminus_ds1_filter,esk25_0,esk24_0)
| leq(esk27_0,minus(n6,n1)) )
& ( ~ epred3_0
| a_select3(pminus_ds1_filter,esk24_0,esk25_0) != a_select3(pminus_ds1_filter,esk25_0,esk24_0)
| leq(n0,esk27_0) )
& ( ~ epred3_0
| a_select3(pminus_ds1_filter,esk24_0,esk25_0) != a_select3(pminus_ds1_filter,esk25_0,esk24_0)
| leq(esk26_0,minus(n0,n1)) )
& ( ~ epred3_0
| a_select3(pminus_ds1_filter,esk24_0,esk25_0) != a_select3(pminus_ds1_filter,esk25_0,esk24_0)
| leq(n0,esk26_0) )
& ( ~ epred3_0
| leq(esk25_0,minus(n6,n1))
| a_select3(id_ds1_filter,esk26_0,esk27_0) != a_select3(id_ds1_filter,esk27_0,esk26_0) )
& ( ~ epred3_0
| leq(esk25_0,minus(n6,n1))
| leq(esk27_0,minus(n6,n1)) )
& ( ~ epred3_0
| leq(esk25_0,minus(n6,n1))
| leq(n0,esk27_0) )
& ( ~ epred3_0
| leq(esk25_0,minus(n6,n1))
| leq(esk26_0,minus(n0,n1)) )
& ( ~ epred3_0
| leq(esk25_0,minus(n6,n1))
| leq(n0,esk26_0) )
& ( ~ epred3_0
| leq(esk24_0,minus(n6,n1))
| a_select3(id_ds1_filter,esk26_0,esk27_0) != a_select3(id_ds1_filter,esk27_0,esk26_0) )
& ( ~ epred3_0
| leq(esk24_0,minus(n6,n1))
| leq(esk27_0,minus(n6,n1)) )
& ( ~ epred3_0
| leq(esk24_0,minus(n6,n1))
| leq(n0,esk27_0) )
& ( ~ epred3_0
| leq(esk24_0,minus(n6,n1))
| leq(esk26_0,minus(n0,n1)) )
& ( ~ epred3_0
| leq(esk24_0,minus(n6,n1))
| leq(n0,esk26_0) )
& ( ~ epred3_0
| leq(n0,esk25_0)
| a_select3(id_ds1_filter,esk26_0,esk27_0) != a_select3(id_ds1_filter,esk27_0,esk26_0) )
& ( ~ epred3_0
| leq(n0,esk25_0)
| leq(esk27_0,minus(n6,n1)) )
& ( ~ epred3_0
| leq(n0,esk25_0)
| leq(n0,esk27_0) )
& ( ~ epred3_0
| leq(n0,esk25_0)
| leq(esk26_0,minus(n0,n1)) )
& ( ~ epred3_0
| leq(n0,esk25_0)
| leq(n0,esk26_0) )
& ( ~ epred3_0
| leq(n0,esk24_0)
| a_select3(id_ds1_filter,esk26_0,esk27_0) != a_select3(id_ds1_filter,esk27_0,esk26_0) )
& ( ~ epred3_0
| leq(n0,esk24_0)
| leq(esk27_0,minus(n6,n1)) )
& ( ~ epred3_0
| leq(n0,esk24_0)
| leq(n0,esk27_0) )
& ( ~ epred3_0
| leq(n0,esk24_0)
| leq(esk26_0,minus(n0,n1)) )
& ( ~ epred3_0
| leq(n0,esk24_0)
| leq(n0,esk26_0) )
& epred2_0 ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_46])])])])]) ).
fof(c_0_56,plain,
! [X140] : plus(n2,X140) = succ(succ(X140)),
inference(variable_rename,[status(thm)],[succ_plus_2_l]) ).
cnf(c_0_57,plain,
plus(X1,n2) = succ(succ(X1)),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_58,plain,
minus(plus(X1,n1),n1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_25]),c_0_49]) ).
cnf(c_0_59,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_50,c_0_30]),c_0_34]),c_0_35]),c_0_43]),c_0_35]),c_0_51]),c_0_35]),c_0_35]) ).
cnf(c_0_60,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_52,c_0_30]),c_0_34]),c_0_35]),c_0_43]),c_0_35]),c_0_51]),c_0_35]) ).
fof(c_0_61,plain,
( ( epred3_0
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| a_select3(q_ds1_filter,esk32_0,esk33_0) != a_select3(q_ds1_filter,esk33_0,esk32_0)
| a_select3(r_ds1_filter,esk34_0,esk35_0) != a_select3(r_ds1_filter,esk35_0,esk34_0) )
& ( epred3_0
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| a_select3(q_ds1_filter,esk32_0,esk33_0) != a_select3(q_ds1_filter,esk33_0,esk32_0)
| leq(esk35_0,minus(n3,n1)) )
& ( epred3_0
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| a_select3(q_ds1_filter,esk32_0,esk33_0) != a_select3(q_ds1_filter,esk33_0,esk32_0)
| leq(esk34_0,minus(n3,n1)) )
& ( epred3_0
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| a_select3(q_ds1_filter,esk32_0,esk33_0) != a_select3(q_ds1_filter,esk33_0,esk32_0)
| leq(n0,esk35_0) )
& ( epred3_0
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| a_select3(q_ds1_filter,esk32_0,esk33_0) != a_select3(q_ds1_filter,esk33_0,esk32_0)
| leq(n0,esk34_0) )
& ( epred3_0
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| leq(esk33_0,minus(n6,n1))
| a_select3(r_ds1_filter,esk34_0,esk35_0) != a_select3(r_ds1_filter,esk35_0,esk34_0) )
& ( epred3_0
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| leq(esk33_0,minus(n6,n1))
| leq(esk35_0,minus(n3,n1)) )
& ( epred3_0
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| leq(esk33_0,minus(n6,n1))
| leq(esk34_0,minus(n3,n1)) )
& ( epred3_0
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| leq(esk33_0,minus(n6,n1))
| leq(n0,esk35_0) )
& ( epred3_0
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| leq(esk33_0,minus(n6,n1))
| leq(n0,esk34_0) )
& ( epred3_0
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| leq(esk32_0,minus(n6,n1))
| a_select3(r_ds1_filter,esk34_0,esk35_0) != a_select3(r_ds1_filter,esk35_0,esk34_0) )
& ( epred3_0
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| leq(esk32_0,minus(n6,n1))
| leq(esk35_0,minus(n3,n1)) )
& ( epred3_0
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| leq(esk32_0,minus(n6,n1))
| leq(esk34_0,minus(n3,n1)) )
& ( epred3_0
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| leq(esk32_0,minus(n6,n1))
| leq(n0,esk35_0) )
& ( epred3_0
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| leq(esk32_0,minus(n6,n1))
| leq(n0,esk34_0) )
& ( epred3_0
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| leq(n0,esk33_0)
| a_select3(r_ds1_filter,esk34_0,esk35_0) != a_select3(r_ds1_filter,esk35_0,esk34_0) )
& ( epred3_0
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| leq(n0,esk33_0)
| leq(esk35_0,minus(n3,n1)) )
& ( epred3_0
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| leq(n0,esk33_0)
| leq(esk34_0,minus(n3,n1)) )
& ( epred3_0
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| leq(n0,esk33_0)
| leq(n0,esk35_0) )
& ( epred3_0
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| leq(n0,esk33_0)
| leq(n0,esk34_0) )
& ( epred3_0
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| leq(n0,esk32_0)
| a_select3(r_ds1_filter,esk34_0,esk35_0) != a_select3(r_ds1_filter,esk35_0,esk34_0) )
& ( epred3_0
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| leq(n0,esk32_0)
| leq(esk35_0,minus(n3,n1)) )
& ( epred3_0
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| leq(n0,esk32_0)
| leq(esk34_0,minus(n3,n1)) )
& ( epred3_0
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| leq(n0,esk32_0)
| leq(n0,esk35_0) )
& ( epred3_0
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| leq(n0,esk32_0)
| leq(n0,esk34_0) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_53])])])])]) ).
cnf(c_0_62,plain,
( ~ epred2_0
| leq(n0,pv5) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_63,negated_conjecture,
epred2_0,
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_64,plain,
( ~ epred2_0
| leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_65,plain,
plus(n2,X1) = succ(succ(X1)),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_66,plain,
plus(X1,n2) = plus(plus(X1,n1),n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_25]),c_0_25]) ).
cnf(c_0_67,plain,
( ~ epred2_0
| ~ leq(X2,minus(n6,n1))
| ~ leq(X1,minus(n6,n1))
| ~ leq(n0,X2)
| ~ leq(n0,X1)
| a_select3(q_ds1_filter,X1,X2) = a_select3(q_ds1_filter,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_68,plain,
minus(plus(n1,X1),n1) = X1,
inference(spm,[status(thm)],[c_0_58,c_0_35]) ).
cnf(c_0_69,plain,
plus(n1,n5) = n6,
inference(rw,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_70,plain,
( ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| a_select3(r_ds1_filter,esk34_0,esk35_0) != a_select3(r_ds1_filter,esk35_0,esk34_0)
| epred3_0
| leq(esk32_0,minus(n6,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_71,plain,
leq(n0,pv5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_63])]) ).
cnf(c_0_72,plain,
leq(pv5,minus(n999,n1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_63])]) ).
cnf(c_0_73,plain,
( ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| a_select3(r_ds1_filter,esk34_0,esk35_0) != a_select3(r_ds1_filter,esk35_0,esk34_0)
| epred3_0
| leq(esk33_0,minus(n6,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_74,plain,
plus(n2,X1) = plus(plus(X1,n1),n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_25]),c_0_25]) ).
cnf(c_0_75,plain,
plus(n1,plus(X1,n1)) = plus(X1,n2),
inference(rw,[status(thm)],[c_0_66,c_0_35]) ).
fof(c_0_76,plain,
! [X1] : ~ gt(X1,X1),
inference(fof_simplification,[status(thm)],[irreflexivity_gt]) ).
fof(c_0_77,plain,
! [X152,X153] :
( gt(X153,X152)
| ~ leq(succ(X152),X153) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_succ_gt])])]) ).
cnf(c_0_78,plain,
( ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| a_select3(q_ds1_filter,esk32_0,esk33_0) != a_select3(q_ds1_filter,esk33_0,esk32_0)
| a_select3(r_ds1_filter,esk34_0,esk35_0) != a_select3(r_ds1_filter,esk35_0,esk34_0)
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_79,plain,
( ~ leq(n0,X1)
| ~ leq(n0,X2)
| ~ leq(X1,minus(n6,n1))
| ~ leq(X2,minus(n6,n1))
| a_select3(q_ds1_filter,X1,X2) = a_select3(q_ds1_filter,X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_67,c_0_63])]) ).
cnf(c_0_80,plain,
minus(n6,n1) = n5,
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_81,plain,
( ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| a_select3(r_ds1_filter,esk34_0,esk35_0) != a_select3(r_ds1_filter,esk35_0,esk34_0)
| epred3_0
| leq(n0,esk32_0) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_82,plain,
( ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| a_select3(r_ds1_filter,esk34_0,esk35_0) != a_select3(r_ds1_filter,esk35_0,esk34_0)
| epred3_0
| leq(n0,esk33_0) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_83,plain,
( a_select3(r_ds1_filter,esk35_0,esk34_0) != a_select3(r_ds1_filter,esk34_0,esk35_0)
| leq(esk32_0,minus(n6,n1))
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_71]),c_0_72])]) ).
cnf(c_0_84,plain,
( a_select3(r_ds1_filter,esk35_0,esk34_0) != a_select3(r_ds1_filter,esk34_0,esk35_0)
| leq(esk33_0,minus(n6,n1))
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_71]),c_0_72])]) ).
cnf(c_0_85,plain,
( ~ epred2_0
| ~ leq(X2,minus(n3,n1))
| ~ leq(X1,minus(n3,n1))
| ~ leq(n0,X2)
| ~ leq(n0,X1)
| a_select3(r_ds1_filter,X1,X2) = a_select3(r_ds1_filter,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_86,plain,
plus(X1,n2) = plus(n2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_35]),c_0_75]) ).
fof(c_0_87,plain,
! [X35] : ~ gt(X35,X35),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_76])]) ).
cnf(c_0_88,plain,
( ~ leq(succ(X1),X2)
| gt(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
fof(c_0_89,plain,
! [X149] : succ(pred(X149)) = X149,
inference(variable_rename,[status(thm)],[succ_pred]) ).
cnf(c_0_90,plain,
( a_select3(r_ds1_filter,esk35_0,esk34_0) != a_select3(r_ds1_filter,esk34_0,esk35_0)
| a_select3(q_ds1_filter,esk33_0,esk32_0) != a_select3(q_ds1_filter,esk32_0,esk33_0)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_78,c_0_71])]),c_0_72])]) ).
cnf(c_0_91,plain,
( ~ leq(n0,X1)
| ~ leq(n0,X2)
| ~ leq(X1,n5)
| ~ leq(X2,n5)
| a_select3(q_ds1_filter,X1,X2) = a_select3(q_ds1_filter,X2,X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_80]),c_0_80]) ).
cnf(c_0_92,plain,
( a_select3(r_ds1_filter,esk35_0,esk34_0) != a_select3(r_ds1_filter,esk34_0,esk35_0)
| leq(n0,esk32_0)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_81,c_0_71]),c_0_72])]) ).
cnf(c_0_93,plain,
( a_select3(r_ds1_filter,esk35_0,esk34_0) != a_select3(r_ds1_filter,esk34_0,esk35_0)
| leq(n0,esk33_0)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_71]),c_0_72])]) ).
cnf(c_0_94,plain,
( a_select3(r_ds1_filter,esk35_0,esk34_0) != a_select3(r_ds1_filter,esk34_0,esk35_0)
| leq(esk32_0,n5)
| epred3_0 ),
inference(rw,[status(thm)],[c_0_83,c_0_80]) ).
cnf(c_0_95,plain,
( a_select3(r_ds1_filter,esk35_0,esk34_0) != a_select3(r_ds1_filter,esk34_0,esk35_0)
| leq(esk33_0,n5)
| epred3_0 ),
inference(rw,[status(thm)],[c_0_84,c_0_80]) ).
cnf(c_0_96,plain,
( ~ leq(n0,X1)
| ~ leq(n0,X2)
| ~ leq(X1,minus(n3,n1))
| ~ leq(X2,minus(n3,n1))
| a_select3(r_ds1_filter,X1,X2) = a_select3(r_ds1_filter,X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_85,c_0_63])]) ).
cnf(c_0_97,plain,
minus(n3,n1) = n2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_86]),c_0_43]) ).
cnf(c_0_98,plain,
( ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| epred3_0
| leq(n0,esk32_0)
| leq(esk35_0,minus(n3,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_99,plain,
( ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| epred3_0
| leq(n0,esk32_0)
| leq(esk34_0,minus(n3,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_100,plain,
( ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| epred3_0
| leq(n0,esk33_0)
| leq(esk35_0,minus(n3,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_101,plain,
( ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| epred3_0
| leq(n0,esk33_0)
| leq(esk34_0,minus(n3,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_102,plain,
~ gt(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_103,plain,
( ~ leq(plus(X1,n1),X2)
| gt(X2,X1) ),
inference(rw,[status(thm)],[c_0_88,c_0_25]) ).
fof(c_0_104,plain,
! [X37,X38,X39] :
( leq(X37,X39)
| ~ leq(X38,X39)
| ~ leq(X37,X38) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[transitivity_leq])])]) ).
cnf(c_0_105,plain,
succ(pred(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_106,plain,
( ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| a_select3(q_ds1_filter,esk32_0,esk33_0) != a_select3(q_ds1_filter,esk33_0,esk32_0)
| epred3_0
| leq(esk35_0,minus(n3,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_107,plain,
( a_select3(r_ds1_filter,esk35_0,esk34_0) != a_select3(r_ds1_filter,esk34_0,esk35_0)
| epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_92]),c_0_93]),c_0_94]),c_0_95]) ).
cnf(c_0_108,plain,
( ~ leq(n0,X1)
| ~ leq(n0,X2)
| ~ leq(X1,n2)
| ~ leq(X2,n2)
| a_select3(r_ds1_filter,X1,X2) = a_select3(r_ds1_filter,X2,X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_96,c_0_97]),c_0_97]) ).
cnf(c_0_109,plain,
( leq(n0,esk32_0)
| leq(esk35_0,minus(n3,n1))
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_98,c_0_71]),c_0_72])]) ).
cnf(c_0_110,plain,
( ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| epred3_0
| leq(n0,esk32_0)
| leq(n0,esk35_0) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_111,plain,
( ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| epred3_0
| leq(n0,esk32_0)
| leq(n0,esk34_0) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_112,plain,
( leq(n0,esk32_0)
| leq(esk34_0,minus(n3,n1))
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_99,c_0_71]),c_0_72])]) ).
cnf(c_0_113,plain,
( leq(n0,esk33_0)
| leq(esk35_0,minus(n3,n1))
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_100,c_0_71]),c_0_72])]) ).
cnf(c_0_114,plain,
( ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| epred3_0
| leq(n0,esk33_0)
| leq(n0,esk35_0) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_115,plain,
( ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| epred3_0
| leq(n0,esk33_0)
| leq(n0,esk34_0) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_116,plain,
( leq(n0,esk33_0)
| leq(esk34_0,minus(n3,n1))
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_101,c_0_71]),c_0_72])]) ).
cnf(c_0_117,plain,
( ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| epred3_0
| leq(esk32_0,minus(n6,n1))
| leq(esk35_0,minus(n3,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_118,plain,
( ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| epred3_0
| leq(esk33_0,minus(n6,n1))
| leq(esk35_0,minus(n3,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_119,plain,
( ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| epred3_0
| leq(esk32_0,minus(n6,n1))
| leq(n0,esk35_0) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_120,plain,
( ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| epred3_0
| leq(esk33_0,minus(n6,n1))
| leq(n0,esk35_0) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_121,plain,
( ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| epred3_0
| leq(esk32_0,minus(n6,n1))
| leq(n0,esk34_0) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_122,plain,
( ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| epred3_0
| leq(esk33_0,minus(n6,n1))
| leq(n0,esk34_0) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_123,plain,
( ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| a_select3(q_ds1_filter,esk32_0,esk33_0) != a_select3(q_ds1_filter,esk33_0,esk32_0)
| epred3_0
| leq(esk34_0,minus(n3,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_124,plain,
( ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| epred3_0
| leq(esk32_0,minus(n6,n1))
| leq(esk34_0,minus(n3,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_125,plain,
( ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| epred3_0
| leq(esk33_0,minus(n6,n1))
| leq(esk34_0,minus(n3,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_126,plain,
succ(tptp_minus_1) = n0,
inference(split_conjunct,[status(thm)],[succ_tptp_minus_1]) ).
cnf(c_0_127,plain,
~ leq(plus(X1,n1),X1),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_128,plain,
( ~ leq(X2,X3)
| ~ leq(X1,X2)
| leq(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_129,negated_conjecture,
( ~ epred3_0
| a_select3(pminus_ds1_filter,esk24_0,esk25_0) != a_select3(pminus_ds1_filter,esk25_0,esk24_0)
| leq(esk26_0,minus(n0,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_130,plain,
plus(minus(X1,n1),n1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_105,c_0_25]),c_0_49]) ).
cnf(c_0_131,plain,
( ~ epred2_0
| ~ leq(X2,minus(n6,n1))
| ~ leq(X1,minus(n6,n1))
| ~ leq(n0,X2)
| ~ leq(n0,X1)
| a_select3(pminus_ds1_filter,X1,X2) = a_select3(pminus_ds1_filter,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_132,plain,
( a_select3(q_ds1_filter,esk33_0,esk32_0) != a_select3(q_ds1_filter,esk32_0,esk33_0)
| leq(esk35_0,minus(n3,n1))
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_106,c_0_71]),c_0_72])]) ).
cnf(c_0_133,plain,
( ~ leq(n0,esk35_0)
| ~ leq(n0,esk34_0)
| ~ leq(esk35_0,n2)
| ~ leq(esk34_0,n2)
| epred3_0 ),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_134,plain,
( leq(esk35_0,n2)
| leq(n0,esk32_0)
| epred3_0 ),
inference(rw,[status(thm)],[c_0_109,c_0_97]) ).
cnf(c_0_135,plain,
( leq(n0,esk32_0)
| leq(n0,esk35_0)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_110,c_0_71]),c_0_72])]) ).
cnf(c_0_136,plain,
( leq(n0,esk32_0)
| leq(n0,esk34_0)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_111,c_0_71]),c_0_72])]) ).
cnf(c_0_137,plain,
( leq(esk34_0,n2)
| leq(n0,esk32_0)
| epred3_0 ),
inference(rw,[status(thm)],[c_0_112,c_0_97]) ).
cnf(c_0_138,plain,
( leq(esk35_0,n2)
| leq(n0,esk33_0)
| epred3_0 ),
inference(rw,[status(thm)],[c_0_113,c_0_97]) ).
cnf(c_0_139,plain,
( leq(n0,esk33_0)
| leq(n0,esk35_0)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_114,c_0_71]),c_0_72])]) ).
cnf(c_0_140,plain,
( leq(n0,esk33_0)
| leq(n0,esk34_0)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_115,c_0_71]),c_0_72])]) ).
cnf(c_0_141,plain,
( leq(esk34_0,n2)
| leq(n0,esk33_0)
| epred3_0 ),
inference(rw,[status(thm)],[c_0_116,c_0_97]) ).
cnf(c_0_142,plain,
( leq(esk32_0,minus(n6,n1))
| leq(esk35_0,minus(n3,n1))
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_117,c_0_71]),c_0_72])]) ).
cnf(c_0_143,plain,
( leq(esk33_0,minus(n6,n1))
| leq(esk35_0,minus(n3,n1))
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_118,c_0_71]),c_0_72])]) ).
cnf(c_0_144,plain,
( ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| a_select3(q_ds1_filter,esk32_0,esk33_0) != a_select3(q_ds1_filter,esk33_0,esk32_0)
| epred3_0
| leq(n0,esk35_0) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_145,plain,
( leq(n0,esk35_0)
| leq(esk32_0,minus(n6,n1))
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_119,c_0_71]),c_0_72])]) ).
cnf(c_0_146,plain,
( leq(n0,esk35_0)
| leq(esk33_0,minus(n6,n1))
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_120,c_0_71]),c_0_72])]) ).
cnf(c_0_147,plain,
( ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| a_select3(q_ds1_filter,esk32_0,esk33_0) != a_select3(q_ds1_filter,esk33_0,esk32_0)
| epred3_0
| leq(n0,esk34_0) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_148,plain,
( leq(n0,esk34_0)
| leq(esk32_0,minus(n6,n1))
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_121,c_0_71]),c_0_72])]) ).
cnf(c_0_149,plain,
( leq(n0,esk34_0)
| leq(esk33_0,minus(n6,n1))
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_122,c_0_71]),c_0_72])]) ).
cnf(c_0_150,plain,
( a_select3(q_ds1_filter,esk33_0,esk32_0) != a_select3(q_ds1_filter,esk32_0,esk33_0)
| leq(esk34_0,minus(n3,n1))
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_123,c_0_71]),c_0_72])]) ).
cnf(c_0_151,plain,
( leq(esk32_0,minus(n6,n1))
| leq(esk34_0,minus(n3,n1))
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_124,c_0_71]),c_0_72])]) ).
cnf(c_0_152,plain,
( leq(esk33_0,minus(n6,n1))
| leq(esk34_0,minus(n3,n1))
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_125,c_0_71]),c_0_72])]) ).
cnf(c_0_153,plain,
plus(tptp_minus_1,n1) = n0,
inference(rw,[status(thm)],[c_0_126,c_0_25]) ).
cnf(c_0_154,plain,
~ leq(plus(n1,X1),X1),
inference(spm,[status(thm)],[c_0_127,c_0_35]) ).
cnf(c_0_155,negated_conjecture,
( ~ leq(X1,esk26_0)
| ~ epred3_0
| a_select3(pminus_ds1_filter,esk25_0,esk24_0) != a_select3(pminus_ds1_filter,esk24_0,esk25_0)
| leq(X1,minus(n0,n1)) ),
inference(spm,[status(thm)],[c_0_128,c_0_129]) ).
cnf(c_0_156,plain,
plus(n1,minus(X1,n1)) = X1,
inference(rw,[status(thm)],[c_0_130,c_0_35]) ).
cnf(c_0_157,negated_conjecture,
( ~ epred3_0
| a_select3(pminus_ds1_filter,esk24_0,esk25_0) != a_select3(pminus_ds1_filter,esk25_0,esk24_0)
| leq(n0,esk26_0) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_158,plain,
( ~ leq(n0,X1)
| ~ leq(n0,X2)
| ~ leq(X1,minus(n6,n1))
| ~ leq(X2,minus(n6,n1))
| a_select3(pminus_ds1_filter,X1,X2) = a_select3(pminus_ds1_filter,X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_131,c_0_63])]) ).
cnf(c_0_159,plain,
( a_select3(q_ds1_filter,esk33_0,esk32_0) != a_select3(q_ds1_filter,esk32_0,esk33_0)
| leq(esk35_0,n2)
| epred3_0 ),
inference(rw,[status(thm)],[c_0_132,c_0_97]) ).
cnf(c_0_160,plain,
( leq(n0,esk32_0)
| epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_135]),c_0_136]),c_0_137]) ).
cnf(c_0_161,plain,
( leq(n0,esk33_0)
| epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_138]),c_0_139]),c_0_140]),c_0_141]) ).
cnf(c_0_162,plain,
( leq(esk35_0,n2)
| leq(esk32_0,n5)
| epred3_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_142,c_0_97]),c_0_80]) ).
cnf(c_0_163,plain,
( leq(esk35_0,n2)
| leq(esk33_0,n5)
| epred3_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_143,c_0_97]),c_0_80]) ).
cnf(c_0_164,plain,
( a_select3(q_ds1_filter,esk33_0,esk32_0) != a_select3(q_ds1_filter,esk32_0,esk33_0)
| leq(n0,esk35_0)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_144,c_0_71]),c_0_72])]) ).
cnf(c_0_165,plain,
( leq(esk32_0,n5)
| leq(n0,esk35_0)
| epred3_0 ),
inference(rw,[status(thm)],[c_0_145,c_0_80]) ).
cnf(c_0_166,plain,
( leq(esk33_0,n5)
| leq(n0,esk35_0)
| epred3_0 ),
inference(rw,[status(thm)],[c_0_146,c_0_80]) ).
cnf(c_0_167,plain,
( a_select3(q_ds1_filter,esk33_0,esk32_0) != a_select3(q_ds1_filter,esk32_0,esk33_0)
| leq(n0,esk34_0)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_147,c_0_71]),c_0_72])]) ).
cnf(c_0_168,plain,
( leq(esk32_0,n5)
| leq(n0,esk34_0)
| epred3_0 ),
inference(rw,[status(thm)],[c_0_148,c_0_80]) ).
cnf(c_0_169,plain,
( leq(esk33_0,n5)
| leq(n0,esk34_0)
| epred3_0 ),
inference(rw,[status(thm)],[c_0_149,c_0_80]) ).
cnf(c_0_170,plain,
( a_select3(q_ds1_filter,esk33_0,esk32_0) != a_select3(q_ds1_filter,esk32_0,esk33_0)
| leq(esk34_0,n2)
| epred3_0 ),
inference(rw,[status(thm)],[c_0_150,c_0_97]) ).
cnf(c_0_171,plain,
( leq(esk34_0,n2)
| leq(esk32_0,n5)
| epred3_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_151,c_0_97]),c_0_80]) ).
cnf(c_0_172,plain,
( leq(esk34_0,n2)
| leq(esk33_0,n5)
| epred3_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_152,c_0_97]),c_0_80]) ).
cnf(c_0_173,negated_conjecture,
( ~ epred3_0
| leq(esk25_0,minus(n6,n1))
| leq(esk26_0,minus(n0,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_174,plain,
plus(n1,tptp_minus_1) = n0,
inference(rw,[status(thm)],[c_0_153,c_0_35]) ).
cnf(c_0_175,negated_conjecture,
( ~ epred3_0
| leq(esk24_0,minus(n6,n1))
| leq(esk26_0,minus(n0,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
fof(c_0_176,plain,
! [X44,X45] :
( leq(X44,X45)
| ~ gt(X45,X44) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_gt1])])]) ).
cnf(c_0_177,negated_conjecture,
( ~ epred3_0
| a_select3(pminus_ds1_filter,esk25_0,esk24_0) != a_select3(pminus_ds1_filter,esk24_0,esk25_0) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_155]),c_0_156]),c_0_157]) ).
cnf(c_0_178,plain,
( ~ leq(n0,X1)
| ~ leq(n0,X2)
| ~ leq(X1,n5)
| ~ leq(X2,n5)
| a_select3(pminus_ds1_filter,X1,X2) = a_select3(pminus_ds1_filter,X2,X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_158,c_0_80]),c_0_80]) ).
cnf(c_0_179,plain,
( leq(esk35_0,n2)
| epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_91]),c_0_160]),c_0_161]),c_0_162]),c_0_163]) ).
cnf(c_0_180,plain,
( leq(n0,esk35_0)
| epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_91]),c_0_160]),c_0_161]),c_0_165]),c_0_166]) ).
cnf(c_0_181,plain,
( leq(n0,esk34_0)
| epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_91]),c_0_160]),c_0_161]),c_0_168]),c_0_169]) ).
cnf(c_0_182,plain,
( leq(esk34_0,n2)
| epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_91]),c_0_160]),c_0_161]),c_0_171]),c_0_172]) ).
cnf(c_0_183,negated_conjecture,
( ~ epred3_0
| leq(esk25_0,n5)
| leq(esk26_0,minus(n0,n1)) ),
inference(rw,[status(thm)],[c_0_173,c_0_80]) ).
cnf(c_0_184,plain,
minus(n0,n1) = tptp_minus_1,
inference(spm,[status(thm)],[c_0_68,c_0_174]) ).
cnf(c_0_185,negated_conjecture,
( ~ epred3_0
| leq(n0,esk24_0)
| leq(esk26_0,minus(n0,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_186,negated_conjecture,
( ~ epred3_0
| leq(n0,esk25_0)
| leq(esk26_0,minus(n0,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_187,negated_conjecture,
( ~ epred3_0
| leq(esk24_0,n5)
| leq(esk26_0,minus(n0,n1)) ),
inference(rw,[status(thm)],[c_0_175,c_0_80]) ).
cnf(c_0_188,plain,
( ~ gt(X1,X2)
| leq(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_176]) ).
cnf(c_0_189,plain,
gt(n1,tptp_minus_1),
inference(split_conjunct,[status(thm)],[gt_1_tptp_minus_1]) ).
cnf(c_0_190,negated_conjecture,
( ~ leq(n0,esk24_0)
| ~ leq(n0,esk25_0)
| ~ leq(esk24_0,n5)
| ~ leq(esk25_0,n5)
| ~ epred3_0 ),
inference(spm,[status(thm)],[c_0_177,c_0_178]) ).
cnf(c_0_191,plain,
epred3_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_179]),c_0_180]),c_0_181]),c_0_182]) ).
cnf(c_0_192,negated_conjecture,
( ~ epred3_0
| leq(esk26_0,tptp_minus_1)
| leq(esk25_0,n5) ),
inference(rw,[status(thm)],[c_0_183,c_0_184]) ).
cnf(c_0_193,negated_conjecture,
( ~ epred3_0
| leq(esk26_0,tptp_minus_1)
| leq(n0,esk24_0) ),
inference(rw,[status(thm)],[c_0_185,c_0_184]) ).
cnf(c_0_194,negated_conjecture,
( ~ epred3_0
| leq(esk26_0,tptp_minus_1)
| leq(n0,esk25_0) ),
inference(rw,[status(thm)],[c_0_186,c_0_184]) ).
cnf(c_0_195,negated_conjecture,
( ~ epred3_0
| leq(esk26_0,tptp_minus_1)
| leq(esk24_0,n5) ),
inference(rw,[status(thm)],[c_0_187,c_0_184]) ).
cnf(c_0_196,negated_conjecture,
( ~ epred3_0
| leq(esk25_0,minus(n6,n1))
| leq(n0,esk26_0) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_197,negated_conjecture,
( ~ epred3_0
| leq(esk24_0,minus(n6,n1))
| leq(n0,esk26_0) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
fof(c_0_198,plain,
! [X32,X33,X34] :
( gt(X32,X34)
| ~ gt(X33,X34)
| ~ gt(X32,X33) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[transitivity_gt])])]) ).
cnf(c_0_199,plain,
leq(tptp_minus_1,n1),
inference(spm,[status(thm)],[c_0_188,c_0_189]) ).
cnf(c_0_200,negated_conjecture,
( ~ leq(n0,esk24_0)
| ~ leq(n0,esk25_0)
| ~ leq(esk24_0,n5)
| ~ leq(esk25_0,n5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_190,c_0_191])]) ).
cnf(c_0_201,negated_conjecture,
( leq(esk25_0,n5)
| leq(esk26_0,tptp_minus_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_192,c_0_191])]) ).
cnf(c_0_202,negated_conjecture,
( leq(n0,esk24_0)
| leq(esk26_0,tptp_minus_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_193,c_0_191])]) ).
cnf(c_0_203,negated_conjecture,
( leq(n0,esk25_0)
| leq(esk26_0,tptp_minus_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_194,c_0_191])]) ).
cnf(c_0_204,negated_conjecture,
( leq(esk24_0,n5)
| leq(esk26_0,tptp_minus_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_195,c_0_191])]) ).
cnf(c_0_205,negated_conjecture,
( ~ epred3_0
| leq(esk25_0,n5)
| leq(n0,esk26_0) ),
inference(rw,[status(thm)],[c_0_196,c_0_80]) ).
cnf(c_0_206,negated_conjecture,
( ~ epred3_0
| leq(n0,esk24_0)
| leq(n0,esk26_0) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_207,negated_conjecture,
( ~ epred3_0
| leq(n0,esk25_0)
| leq(n0,esk26_0) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_208,negated_conjecture,
( ~ epred3_0
| leq(esk24_0,n5)
| leq(n0,esk26_0) ),
inference(rw,[status(thm)],[c_0_197,c_0_80]) ).
cnf(c_0_209,plain,
( ~ gt(X2,X3)
| ~ gt(X1,X2)
| gt(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_198]) ).
cnf(c_0_210,plain,
gt(n0,tptp_minus_1),
inference(split_conjunct,[status(thm)],[gt_0_tptp_minus_1]) ).
fof(c_0_211,plain,
! [X196] :
( X196 = n1
| X196 = n0
| ~ leq(X196,n1)
| ~ leq(n0,X196) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[finite_domain_1])])]) ).
cnf(c_0_212,plain,
( ~ leq(X1,tptp_minus_1)
| leq(X1,n1) ),
inference(spm,[status(thm)],[c_0_128,c_0_199]) ).
cnf(c_0_213,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_200,c_0_201]),c_0_202]),c_0_203]),c_0_204]) ).
cnf(c_0_214,negated_conjecture,
( leq(n0,esk26_0)
| leq(esk25_0,n5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_205,c_0_191])]) ).
cnf(c_0_215,negated_conjecture,
( leq(n0,esk26_0)
| leq(n0,esk24_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_206,c_0_191])]) ).
cnf(c_0_216,negated_conjecture,
( leq(n0,esk26_0)
| leq(n0,esk25_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_207,c_0_191])]) ).
cnf(c_0_217,negated_conjecture,
( leq(n0,esk26_0)
| leq(esk24_0,n5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_208,c_0_191])]) ).
cnf(c_0_218,plain,
( ~ gt(X1,n0)
| gt(X1,tptp_minus_1) ),
inference(spm,[status(thm)],[c_0_209,c_0_210]) ).
cnf(c_0_219,plain,
( ~ leq(X1,n1)
| ~ leq(n0,X1)
| X1 = n1
| X1 = n0 ),
inference(split_conjunct,[status(thm)],[c_0_211]) ).
cnf(c_0_220,negated_conjecture,
leq(esk26_0,n1),
inference(spm,[status(thm)],[c_0_212,c_0_213]) ).
cnf(c_0_221,negated_conjecture,
leq(n0,esk26_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_214]),c_0_215]),c_0_216]),c_0_217]) ).
cnf(c_0_222,plain,
~ gt(tptp_minus_1,n0),
inference(spm,[status(thm)],[c_0_102,c_0_218]) ).
cnf(c_0_223,negated_conjecture,
( esk26_0 = n1
| esk26_0 = n0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_220]),c_0_221])]) ).
cnf(c_0_224,plain,
~ leq(n1,tptp_minus_1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_103]),c_0_30]) ).
cnf(c_0_225,negated_conjecture,
esk26_0 = n0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_223]),c_0_224]) ).
cnf(c_0_226,plain,
~ leq(n0,tptp_minus_1),
inference(spm,[status(thm)],[c_0_154,c_0_174]) ).
cnf(c_0_227,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_213,c_0_225]),c_0_226]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV114+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n015.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 08:34:36 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 87.92/13.31 % Version: 3.5.1
% 87.92/13.31 % Preprocessing class: FSLSSMSMSSSNFFN.
% 87.92/13.31 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 87.92/13.31 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 87.92/13.31 % Starting new_bool_3 with 300s (1) cores
% 87.92/13.31 % Starting new_bool_1 with 300s (1) cores
% 87.92/13.31 % Starting sh5l with 300s (1) cores
% 87.92/13.31 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 1048765 completed with status 0
% 87.92/13.31 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 87.92/13.31 % Preprocessing class: FSLSSMSMSSSNFFN.
% 87.92/13.31 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 87.92/13.31 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 87.92/13.31 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 87.92/13.31 % No SInE strategy applied
% 87.92/13.31 % Search class: FGHSM-FSLM33-DFFFFFNN
% 87.92/13.31 % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 87.92/13.31 % Starting SubtermCWHack with 136s (1) cores
% 87.92/13.31 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 87.92/13.31 % Starting U----_206b_01_C11_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 87.92/13.31 % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 87.92/13.31 % Starting G-E--_208_C09_12_F1_SE_CS_SP_PS_S070I with 136s (1) cores
% 87.92/13.31 % G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with pid 1048774 completed with status 0
% 87.92/13.31 % Result found by G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN
% 87.92/13.31 % Preprocessing class: FSLSSMSMSSSNFFN.
% 87.92/13.31 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 87.92/13.31 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 87.92/13.31 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 87.92/13.31 % No SInE strategy applied
% 87.92/13.31 % Search class: FGHSM-FSLM33-DFFFFFNN
% 87.92/13.31 % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 87.92/13.31 % Starting SubtermCWHack with 136s (1) cores
% 87.92/13.31 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 87.92/13.31 % Starting U----_206b_01_C11_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 87.92/13.31 % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 87.92/13.31 % Preprocessing time : 0.005 s
% 87.92/13.31
% 87.92/13.31 % Proof found!
% 87.92/13.31 % SZS status Theorem
% 87.92/13.31 % SZS output start CNFRefutation
% See solution above
% 87.92/13.31 % Parsed axioms : 102
% 87.92/13.31 % Removed by relevancy pruning/SinE : 0
% 87.92/13.31 % Initial clauses : 265
% 87.92/13.31 % Removed in clause preprocessing : 2
% 87.92/13.31 % Initial clauses in saturation : 263
% 87.92/13.31 % Processed clauses : 15867
% 87.92/13.31 % ...of these trivial : 109
% 87.92/13.31 % ...subsumed : 10952
% 87.92/13.31 % ...remaining for further processing : 4806
% 87.92/13.31 % Other redundant clauses eliminated : 42
% 87.92/13.31 % Clauses deleted for lack of memory : 0
% 87.92/13.31 % Backward-subsumed : 625
% 87.92/13.31 % Backward-rewritten : 557
% 87.92/13.31 % Generated clauses : 406472
% 87.92/13.31 % ...of the previous two non-redundant : 363833
% 87.92/13.31 % ...aggressively subsumed : 0
% 87.92/13.31 % Contextual simplify-reflections : 265
% 87.92/13.31 % Paramodulations : 406170
% 87.92/13.31 % Factorizations : 255
% 87.92/13.31 % NegExts : 0
% 87.92/13.31 % Equation resolutions : 47
% 87.92/13.31 % Disequality decompositions : 0
% 87.92/13.31 % Total rewrite steps : 264123
% 87.92/13.31 % ...of those cached : 263636
% 87.92/13.31 % Propositional unsat checks : 0
% 87.92/13.31 % Propositional check models : 0
% 87.92/13.31 % Propositional check unsatisfiable : 0
% 87.92/13.31 % Propositional clauses : 0
% 87.92/13.31 % Propositional clauses after purity: 0
% 87.92/13.31 % Propositional unsat core size : 0
% 87.92/13.31 % Propositional preprocessing time : 0.000
% 87.92/13.31 % Propositional encoding time : 0.000
% 87.92/13.31 % Propositional solver time : 0.000
% 87.92/13.31 % Success case prop preproc time : 0.000
% 87.92/13.31 % Success case prop encoding time : 0.000
% 87.92/13.31 % Success case prop solver time : 0.000
% 87.92/13.31 % Current number of processed clauses : 3623
% 87.92/13.31 % Positive orientable unit clauses : 249
% 87.92/13.31 % Positive unorientable unit clauses: 5
% 87.92/13.31 % Negative unit clauses : 746
% 87.92/13.31 % Non-unit-clauses : 2623
% 87.92/13.31 % Current number of unprocessed clauses: 347163
% 87.92/13.31 % ...number of literals in the above : 2956068
% 87.92/13.31 % Current number of archived formulas : 0
% 87.92/13.31 % Current number of archived clauses : 1184
% 87.92/13.31 % Clause-clause subsumption calls (NU) : 2246751
% 87.92/13.31 % Rec. Clause-clause subsumption calls : 195367
% 87.92/13.31 % Non-unit clause-clause subsumptions : 3837
% 87.92/13.31 % Unit Clause-clause subsumption calls : 77539
% 87.92/13.31 % Rewrite failures with RHS unbound : 0
% 87.92/13.31 % BW rewrite match attempts : 91
% 87.92/13.31 % BW rewrite match successes : 42
% 87.92/13.31 % Condensation attempts : 0
% 87.92/13.31 % Condensation successes : 0
% 87.92/13.31 % Termbank termtop insertions : 11227325
% 87.92/13.31 % Search garbage collected termcells : 2730
% 87.92/13.31
% 87.92/13.31 % -------------------------------------------------
% 87.92/13.31 % User time : 12.188 s
% 87.92/13.31 % System time : 0.340 s
% 87.92/13.31 % Total time : 12.528 s
% 87.92/13.31 % Maximum resident set size: 4272 pages
% 87.92/13.31
% 87.92/13.31 % -------------------------------------------------
% 87.92/13.31 % User time : 60.353 s
% 87.92/13.31 % System time : 1.798 s
% 87.92/13.31 % Total time : 62.151 s
% 87.92/13.31 % Maximum resident set size: 4864 pages
% 87.92/13.31 % E exiting
%------------------------------------------------------------------------------