%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SWV114+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 03:00:36 PM UTC 2026
% Result : Theorem 79.09s 10.50s
% Output : CNFRefutation 79.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 17
% Syntax : Number of formulae : 166 ( 48 unt; 0 def)
% Number of atoms : 795 ( 113 equ)
% Maximal formula atoms : 125 ( 4 avg)
% Number of connectives : 888 ( 259 ~; 425 |; 165 &)
% ( 4 <=>; 35 =>; 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 : 26 ( 26 usr; 22 con; 0-3 aty)
% Number of variables : 110 ( 0 sgn 81 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(successor_2,axiom,
succ(succ(n0)) = n2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_2) ).
fof(successor_1,axiom,
succ(n0) = n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_1) ).
fof(successor_3,axiom,
succ(succ(succ(n0))) = n3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_3) ).
fof(successor_4,axiom,
succ(succ(succ(succ(n0)))) = n4,
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_symm_0007) ).
fof(pred_succ,axiom,
! [X1] : pred(succ(X1)) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',pred_succ) ).
fof(pred_minus_1,axiom,
! [X1] : minus(X1,n1) = pred(X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',pred_minus_1) ).
fof(successor_5,axiom,
succ(succ(succ(succ(succ(n0))))) = n5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_5) ).
fof(successor_6,axiom,
succ(succ(succ(succ(succ(succ(n0)))))) = n6,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_6) ).
fof(succ_tptp_minus_1,axiom,
succ(tptp_minus_1) = n0,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_tptp_minus_1) ).
fof(irreflexivity_gt,axiom,
! [X1] : ~ gt(X1,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',irreflexivity_gt) ).
fof(leq_succ_gt_equiv,axiom,
! [X1,X2] :
( leq(X1,X2)
<=> gt(succ(X2),X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',leq_succ_gt_equiv) ).
fof(transitivity_leq,axiom,
! [X1,X2,X3] :
( ( leq(X2,X3)
& leq(X1,X2) )
=> leq(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',transitivity_leq) ).
fof(succ_pred,axiom,
! [X1] : succ(pred(X1)) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_pred) ).
fof(leq_succ_succ,axiom,
! [X1,X2] :
( leq(succ(X1),succ(X2))
<=> leq(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',leq_succ_succ) ).
cnf(c_0_15,plain,
succ(succ(n0)) = n2,
inference(split_conjunct,[status(thm)],[successor_2]) ).
cnf(c_0_16,plain,
succ(n0) = n1,
inference(split_conjunct,[status(thm)],[successor_1]) ).
cnf(c_0_17,plain,
succ(succ(succ(n0))) = n3,
inference(split_conjunct,[status(thm)],[successor_3]) ).
cnf(c_0_18,plain,
succ(n1) = n2,
inference(rw,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,plain,
succ(succ(succ(succ(n0)))) = n4,
inference(split_conjunct,[status(thm)],[successor_4]) ).
cnf(c_0_20,plain,
succ(n2) = n3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_16]),c_0_18]) ).
fof(c_0_21,plain,
( epred1_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_22,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_23,plain,
( epred2_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_24,plain,
! [X69] : pred(succ(X69)) = X69,
inference(variable_rename,[status(thm)],[pred_succ]) ).
fof(c_0_25,plain,
! [X51] : minus(X51,n1) = pred(X51),
inference(variable_rename,[status(thm)],[pred_minus_1]) ).
cnf(c_0_26,plain,
succ(succ(succ(succ(succ(n0))))) = n5,
inference(split_conjunct,[status(thm)],[successor_5]) ).
cnf(c_0_27,plain,
succ(n3) = n4,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_16]),c_0_18]),c_0_20]) ).
fof(c_0_28,plain,
( epred1_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_21]) ).
fof(c_0_29,negated_conjecture,
~ ( epred1_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) )
& epred2_0 ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_22,c_0_21]),c_0_23]) ).
cnf(c_0_30,plain,
pred(succ(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_31,plain,
minus(X1,n1) = pred(X1),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_32,plain,
succ(succ(succ(succ(succ(succ(n0)))))) = n6,
inference(split_conjunct,[status(thm)],[successor_6]) ).
cnf(c_0_33,plain,
succ(n4) = n5,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_16]),c_0_18]),c_0_20]),c_0_27]) ).
fof(c_0_34,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) )
=> epred2_0 ),
inference(split_equiv,[status(thm)],[c_0_23]) ).
fof(c_0_35,plain,
! [X81,X82,X83,X84,X85,X86] :
( ( ~ epred1_0
| a_select3(pminus_ds1_filter,X85,X86) = a_select3(pminus_ds1_filter,X86,X85)
| ~ leq(X86,minus(n6,n1))
| ~ leq(X85,minus(n6,n1))
| ~ leq(n0,X86)
| ~ leq(n0,X85) )
& ( ~ epred1_0
| a_select3(r_ds1_filter,X83,X84) = a_select3(r_ds1_filter,X84,X83)
| ~ leq(X84,minus(n3,n1))
| ~ leq(X83,minus(n3,n1))
| ~ leq(n0,X84)
| ~ leq(n0,X83) )
& ( ~ epred1_0
| a_select3(q_ds1_filter,X81,X82) = a_select3(q_ds1_filter,X82,X81)
| ~ leq(X82,minus(n6,n1))
| ~ leq(X81,minus(n6,n1))
| ~ leq(n0,X82)
| ~ leq(n0,X81) )
& ( ~ epred1_0
| leq(pv5,minus(n999,n1)) )
& ( ~ epred1_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_28])])])])]) ).
fof(c_0_36,negated_conjecture,
( ( ~ epred2_0
| a_select3(pminus_ds1_filter,esk1_0,esk2_0) != a_select3(pminus_ds1_filter,esk2_0,esk1_0)
| a_select3(id_ds1_filter,esk3_0,esk4_0) != a_select3(id_ds1_filter,esk4_0,esk3_0) )
& ( ~ epred2_0
| a_select3(pminus_ds1_filter,esk1_0,esk2_0) != a_select3(pminus_ds1_filter,esk2_0,esk1_0)
| leq(esk4_0,minus(n6,n1)) )
& ( ~ epred2_0
| a_select3(pminus_ds1_filter,esk1_0,esk2_0) != a_select3(pminus_ds1_filter,esk2_0,esk1_0)
| leq(n0,esk4_0) )
& ( ~ epred2_0
| a_select3(pminus_ds1_filter,esk1_0,esk2_0) != a_select3(pminus_ds1_filter,esk2_0,esk1_0)
| leq(esk3_0,minus(n0,n1)) )
& ( ~ epred2_0
| a_select3(pminus_ds1_filter,esk1_0,esk2_0) != a_select3(pminus_ds1_filter,esk2_0,esk1_0)
| leq(n0,esk3_0) )
& ( ~ epred2_0
| leq(esk2_0,minus(n6,n1))
| a_select3(id_ds1_filter,esk3_0,esk4_0) != a_select3(id_ds1_filter,esk4_0,esk3_0) )
& ( ~ epred2_0
| leq(esk2_0,minus(n6,n1))
| leq(esk4_0,minus(n6,n1)) )
& ( ~ epred2_0
| leq(esk2_0,minus(n6,n1))
| leq(n0,esk4_0) )
& ( ~ epred2_0
| leq(esk2_0,minus(n6,n1))
| leq(esk3_0,minus(n0,n1)) )
& ( ~ epred2_0
| leq(esk2_0,minus(n6,n1))
| leq(n0,esk3_0) )
& ( ~ epred2_0
| leq(esk1_0,minus(n6,n1))
| a_select3(id_ds1_filter,esk3_0,esk4_0) != a_select3(id_ds1_filter,esk4_0,esk3_0) )
& ( ~ epred2_0
| leq(esk1_0,minus(n6,n1))
| leq(esk4_0,minus(n6,n1)) )
& ( ~ epred2_0
| leq(esk1_0,minus(n6,n1))
| leq(n0,esk4_0) )
& ( ~ epred2_0
| leq(esk1_0,minus(n6,n1))
| leq(esk3_0,minus(n0,n1)) )
& ( ~ epred2_0
| leq(esk1_0,minus(n6,n1))
| leq(n0,esk3_0) )
& ( ~ epred2_0
| leq(n0,esk2_0)
| a_select3(id_ds1_filter,esk3_0,esk4_0) != a_select3(id_ds1_filter,esk4_0,esk3_0) )
& ( ~ epred2_0
| leq(n0,esk2_0)
| leq(esk4_0,minus(n6,n1)) )
& ( ~ epred2_0
| leq(n0,esk2_0)
| leq(n0,esk4_0) )
& ( ~ epred2_0
| leq(n0,esk2_0)
| leq(esk3_0,minus(n0,n1)) )
& ( ~ epred2_0
| leq(n0,esk2_0)
| leq(n0,esk3_0) )
& ( ~ epred2_0
| leq(n0,esk1_0)
| a_select3(id_ds1_filter,esk3_0,esk4_0) != a_select3(id_ds1_filter,esk4_0,esk3_0) )
& ( ~ epred2_0
| leq(n0,esk1_0)
| leq(esk4_0,minus(n6,n1)) )
& ( ~ epred2_0
| leq(n0,esk1_0)
| leq(n0,esk4_0) )
& ( ~ epred2_0
| leq(n0,esk1_0)
| leq(esk3_0,minus(n0,n1)) )
& ( ~ epred2_0
| leq(n0,esk1_0)
| leq(n0,esk3_0) )
& epred1_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_29])])])])]) ).
cnf(c_0_37,plain,
minus(succ(X1),n1) = X1,
inference(rw,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_38,plain,
succ(n5) = n6,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_16]),c_0_18]),c_0_20]),c_0_27]),c_0_33]) ).
cnf(c_0_39,plain,
succ(tptp_minus_1) = n0,
inference(split_conjunct,[status(thm)],[succ_tptp_minus_1]) ).
fof(c_0_40,plain,
( ( epred2_0
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| a_select3(q_ds1_filter,esk5_0,esk6_0) != a_select3(q_ds1_filter,esk6_0,esk5_0)
| a_select3(r_ds1_filter,esk7_0,esk8_0) != a_select3(r_ds1_filter,esk8_0,esk7_0) )
& ( epred2_0
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| a_select3(q_ds1_filter,esk5_0,esk6_0) != a_select3(q_ds1_filter,esk6_0,esk5_0)
| leq(esk8_0,minus(n3,n1)) )
& ( epred2_0
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| a_select3(q_ds1_filter,esk5_0,esk6_0) != a_select3(q_ds1_filter,esk6_0,esk5_0)
| leq(esk7_0,minus(n3,n1)) )
& ( epred2_0
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| a_select3(q_ds1_filter,esk5_0,esk6_0) != a_select3(q_ds1_filter,esk6_0,esk5_0)
| leq(n0,esk8_0) )
& ( epred2_0
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| a_select3(q_ds1_filter,esk5_0,esk6_0) != a_select3(q_ds1_filter,esk6_0,esk5_0)
| leq(n0,esk7_0) )
& ( epred2_0
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| leq(esk6_0,minus(n6,n1))
| a_select3(r_ds1_filter,esk7_0,esk8_0) != a_select3(r_ds1_filter,esk8_0,esk7_0) )
& ( epred2_0
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| leq(esk6_0,minus(n6,n1))
| leq(esk8_0,minus(n3,n1)) )
& ( epred2_0
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| leq(esk6_0,minus(n6,n1))
| leq(esk7_0,minus(n3,n1)) )
& ( epred2_0
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| leq(esk6_0,minus(n6,n1))
| leq(n0,esk8_0) )
& ( epred2_0
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| leq(esk6_0,minus(n6,n1))
| leq(n0,esk7_0) )
& ( epred2_0
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| leq(esk5_0,minus(n6,n1))
| a_select3(r_ds1_filter,esk7_0,esk8_0) != a_select3(r_ds1_filter,esk8_0,esk7_0) )
& ( epred2_0
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| leq(esk5_0,minus(n6,n1))
| leq(esk8_0,minus(n3,n1)) )
& ( epred2_0
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| leq(esk5_0,minus(n6,n1))
| leq(esk7_0,minus(n3,n1)) )
& ( epred2_0
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| leq(esk5_0,minus(n6,n1))
| leq(n0,esk8_0) )
& ( epred2_0
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| leq(esk5_0,minus(n6,n1))
| leq(n0,esk7_0) )
& ( epred2_0
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| leq(n0,esk6_0)
| a_select3(r_ds1_filter,esk7_0,esk8_0) != a_select3(r_ds1_filter,esk8_0,esk7_0) )
& ( epred2_0
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| leq(n0,esk6_0)
| leq(esk8_0,minus(n3,n1)) )
& ( epred2_0
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| leq(n0,esk6_0)
| leq(esk7_0,minus(n3,n1)) )
& ( epred2_0
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| leq(n0,esk6_0)
| leq(n0,esk8_0) )
& ( epred2_0
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| leq(n0,esk6_0)
| leq(n0,esk7_0) )
& ( epred2_0
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| leq(n0,esk5_0)
| a_select3(r_ds1_filter,esk7_0,esk8_0) != a_select3(r_ds1_filter,esk8_0,esk7_0) )
& ( epred2_0
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| leq(n0,esk5_0)
| leq(esk8_0,minus(n3,n1)) )
& ( epred2_0
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| leq(n0,esk5_0)
| leq(esk7_0,minus(n3,n1)) )
& ( epred2_0
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| leq(n0,esk5_0)
| leq(n0,esk8_0) )
& ( epred2_0
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| leq(n0,esk5_0)
| leq(n0,esk7_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_34])])])])]) ).
cnf(c_0_41,plain,
( ~ epred1_0
| leq(n0,pv5) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_42,negated_conjecture,
epred1_0,
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_43,plain,
( ~ epred1_0
| leq(pv5,minus(n999,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
fof(c_0_44,plain,
! [X1] : ~ gt(X1,X1),
inference(fof_simplification,[status(thm)],[irreflexivity_gt]) ).
cnf(c_0_45,plain,
( ~ epred1_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_35]) ).
cnf(c_0_46,plain,
minus(n6,n1) = n5,
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_47,negated_conjecture,
( ~ epred2_0
| leq(esk1_0,minus(n6,n1))
| leq(n0,esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_48,negated_conjecture,
( ~ epred2_0
| leq(esk2_0,minus(n6,n1))
| leq(n0,esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_49,plain,
pred(n0) = tptp_minus_1,
inference(spm,[status(thm)],[c_0_30,c_0_39]) ).
cnf(c_0_50,plain,
( ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| epred2_0
| leq(esk5_0,minus(n6,n1))
| leq(n0,esk8_0) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_51,plain,
leq(n0,pv5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_42])]) ).
cnf(c_0_52,plain,
leq(pv5,minus(n999,n1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_42])]) ).
cnf(c_0_53,plain,
( ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| epred2_0
| leq(esk6_0,minus(n6,n1))
| leq(n0,esk8_0) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_54,plain,
( ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| epred2_0
| leq(esk5_0,minus(n6,n1))
| leq(n0,esk7_0) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_55,plain,
( ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| epred2_0
| leq(esk6_0,minus(n6,n1))
| leq(n0,esk7_0) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
fof(c_0_56,plain,
! [X65] : ~ gt(X65,X65),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_44])]) ).
fof(c_0_57,plain,
! [X44,X45] :
( ( leq(X44,X45)
| ~ gt(succ(X45),X44) )
& ( gt(succ(X45),X44)
| ~ leq(X44,X45) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_succ_gt_equiv])])]) ).
fof(c_0_58,plain,
! [X35,X36,X37] :
( leq(X35,X37)
| ~ leq(X36,X37)
| ~ leq(X35,X36) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[transitivity_leq])])]) ).
cnf(c_0_59,negated_conjecture,
( ~ epred2_0
| a_select3(pminus_ds1_filter,esk1_0,esk2_0) != a_select3(pminus_ds1_filter,esk2_0,esk1_0)
| leq(n0,esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_60,plain,
( ~ leq(X1,n5)
| ~ leq(X2,n5)
| ~ leq(n0,X1)
| ~ leq(n0,X2)
| a_select3(pminus_ds1_filter,X1,X2) = a_select3(pminus_ds1_filter,X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_42]),c_0_46]),c_0_46])]) ).
cnf(c_0_61,negated_conjecture,
( ~ epred2_0
| leq(esk1_0,n5)
| leq(n0,esk3_0) ),
inference(rw,[status(thm)],[c_0_47,c_0_46]) ).
cnf(c_0_62,negated_conjecture,
( ~ epred2_0
| leq(esk2_0,n5)
| leq(n0,esk3_0) ),
inference(rw,[status(thm)],[c_0_48,c_0_46]) ).
cnf(c_0_63,negated_conjecture,
( ~ epred2_0
| leq(n0,esk1_0)
| leq(n0,esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_64,negated_conjecture,
( ~ epred2_0
| leq(n0,esk2_0)
| leq(n0,esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
fof(c_0_65,plain,
! [X70] : succ(pred(X70)) = X70,
inference(variable_rename,[status(thm)],[succ_pred]) ).
cnf(c_0_66,negated_conjecture,
( ~ epred2_0
| leq(esk1_0,minus(n6,n1))
| leq(esk3_0,minus(n0,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_67,plain,
minus(n0,n1) = tptp_minus_1,
inference(rw,[status(thm)],[c_0_49,c_0_31]) ).
cnf(c_0_68,negated_conjecture,
( ~ epred2_0
| leq(esk2_0,minus(n6,n1))
| leq(esk3_0,minus(n0,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_69,plain,
( ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| epred2_0
| leq(esk5_0,minus(n6,n1))
| leq(esk8_0,minus(n3,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_70,plain,
minus(n3,n1) = n2,
inference(spm,[status(thm)],[c_0_37,c_0_20]) ).
cnf(c_0_71,plain,
( ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| epred2_0
| leq(esk5_0,minus(n6,n1))
| leq(esk7_0,minus(n3,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_72,plain,
( ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| a_select3(q_ds1_filter,esk5_0,esk6_0) != a_select3(q_ds1_filter,esk6_0,esk5_0)
| epred2_0
| leq(n0,esk8_0) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_73,plain,
( ~ epred1_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_35]) ).
cnf(c_0_74,plain,
( leq(n0,esk8_0)
| leq(esk5_0,minus(n6,n1))
| epred2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_51]),c_0_52])]) ).
cnf(c_0_75,plain,
( leq(n0,esk8_0)
| leq(esk6_0,minus(n6,n1))
| epred2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_51]),c_0_52])]) ).
cnf(c_0_76,plain,
( ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| epred2_0
| leq(n0,esk5_0)
| leq(n0,esk8_0) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_77,plain,
( ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| epred2_0
| leq(n0,esk6_0)
| leq(n0,esk8_0) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_78,plain,
( ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| a_select3(q_ds1_filter,esk5_0,esk6_0) != a_select3(q_ds1_filter,esk6_0,esk5_0)
| epred2_0
| leq(n0,esk7_0) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_79,plain,
( leq(n0,esk7_0)
| leq(esk5_0,minus(n6,n1))
| epred2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_51]),c_0_52])]) ).
cnf(c_0_80,plain,
( leq(n0,esk7_0)
| leq(esk6_0,minus(n6,n1))
| epred2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_51]),c_0_52])]) ).
cnf(c_0_81,plain,
( ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| epred2_0
| leq(n0,esk5_0)
| leq(n0,esk7_0) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_82,plain,
( ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| epred2_0
| leq(n0,esk6_0)
| leq(n0,esk7_0) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_83,plain,
( ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| epred2_0
| leq(esk6_0,minus(n6,n1))
| leq(esk8_0,minus(n3,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_84,plain,
( ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| epred2_0
| leq(esk6_0,minus(n6,n1))
| leq(esk7_0,minus(n3,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_85,plain,
~ gt(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_86,plain,
( ~ leq(X1,X2)
| gt(succ(X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_87,plain,
( ~ leq(X2,X3)
| ~ leq(X1,X2)
| leq(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_88,negated_conjecture,
( ~ epred2_0
| leq(n0,esk3_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61]),c_0_62]),c_0_63]),c_0_64]) ).
fof(c_0_89,plain,
! [X46,X47] :
( ( leq(succ(X46),succ(X47))
| ~ leq(X46,X47) )
& ( leq(X46,X47)
| ~ leq(succ(X46),succ(X47)) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_succ_succ])])]) ).
cnf(c_0_90,plain,
succ(pred(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_91,negated_conjecture,
( ~ epred2_0
| a_select3(pminus_ds1_filter,esk1_0,esk2_0) != a_select3(pminus_ds1_filter,esk2_0,esk1_0)
| leq(esk3_0,minus(n0,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_92,negated_conjecture,
( ~ epred2_0
| leq(esk3_0,tptp_minus_1)
| leq(esk1_0,minus(n6,n1)) ),
inference(rw,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_93,negated_conjecture,
( ~ epred2_0
| leq(esk3_0,tptp_minus_1)
| leq(esk2_0,minus(n6,n1)) ),
inference(rw,[status(thm)],[c_0_68,c_0_67]) ).
cnf(c_0_94,negated_conjecture,
( ~ epred2_0
| leq(n0,esk1_0)
| leq(esk3_0,minus(n0,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_95,negated_conjecture,
( ~ epred2_0
| leq(n0,esk2_0)
| leq(esk3_0,minus(n0,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_96,plain,
( ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| a_select3(r_ds1_filter,esk7_0,esk8_0) != a_select3(r_ds1_filter,esk8_0,esk7_0)
| epred2_0
| leq(esk5_0,minus(n6,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_97,plain,
( ~ epred1_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_35]) ).
cnf(c_0_98,plain,
( leq(esk8_0,n2)
| leq(esk5_0,minus(n6,n1))
| epred2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_69,c_0_70]),c_0_51]),c_0_52])]) ).
cnf(c_0_99,plain,
( leq(esk7_0,n2)
| leq(esk5_0,minus(n6,n1))
| epred2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_70]),c_0_51]),c_0_52])]) ).
cnf(c_0_100,plain,
( a_select3(q_ds1_filter,esk6_0,esk5_0) != a_select3(q_ds1_filter,esk5_0,esk6_0)
| leq(n0,esk8_0)
| epred2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_72,c_0_51]),c_0_52])]) ).
cnf(c_0_101,plain,
( ~ leq(X1,n5)
| ~ leq(X2,n5)
| ~ leq(n0,X1)
| ~ leq(n0,X2)
| a_select3(q_ds1_filter,X1,X2) = a_select3(q_ds1_filter,X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_42]),c_0_46]),c_0_46])]) ).
cnf(c_0_102,plain,
( leq(esk5_0,n5)
| leq(n0,esk8_0)
| epred2_0 ),
inference(rw,[status(thm)],[c_0_74,c_0_46]) ).
cnf(c_0_103,plain,
( leq(esk6_0,n5)
| leq(n0,esk8_0)
| epred2_0 ),
inference(rw,[status(thm)],[c_0_75,c_0_46]) ).
cnf(c_0_104,plain,
( leq(n0,esk5_0)
| leq(n0,esk8_0)
| epred2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_76,c_0_51]),c_0_52])]) ).
cnf(c_0_105,plain,
( leq(n0,esk6_0)
| leq(n0,esk8_0)
| epred2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_77,c_0_51]),c_0_52])]) ).
cnf(c_0_106,plain,
( a_select3(q_ds1_filter,esk6_0,esk5_0) != a_select3(q_ds1_filter,esk5_0,esk6_0)
| leq(n0,esk7_0)
| epred2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_78,c_0_51]),c_0_52])]) ).
cnf(c_0_107,plain,
( leq(esk5_0,n5)
| leq(n0,esk7_0)
| epred2_0 ),
inference(rw,[status(thm)],[c_0_79,c_0_46]) ).
cnf(c_0_108,plain,
( leq(esk6_0,n5)
| leq(n0,esk7_0)
| epred2_0 ),
inference(rw,[status(thm)],[c_0_80,c_0_46]) ).
cnf(c_0_109,plain,
( leq(n0,esk5_0)
| leq(n0,esk7_0)
| epred2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_81,c_0_51]),c_0_52])]) ).
cnf(c_0_110,plain,
( leq(n0,esk6_0)
| leq(n0,esk7_0)
| epred2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_51]),c_0_52])]) ).
cnf(c_0_111,plain,
( ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| a_select3(r_ds1_filter,esk7_0,esk8_0) != a_select3(r_ds1_filter,esk8_0,esk7_0)
| epred2_0
| leq(esk6_0,minus(n6,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_112,plain,
( leq(esk8_0,n2)
| leq(esk6_0,minus(n6,n1))
| epred2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_83,c_0_70]),c_0_51]),c_0_52])]) ).
cnf(c_0_113,plain,
( leq(esk7_0,n2)
| leq(esk6_0,minus(n6,n1))
| epred2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_70]),c_0_51]),c_0_52])]) ).
cnf(c_0_114,plain,
( ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| a_select3(r_ds1_filter,esk7_0,esk8_0) != a_select3(r_ds1_filter,esk8_0,esk7_0)
| epred2_0
| leq(n0,esk5_0) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_115,plain,
( ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| epred2_0
| leq(n0,esk5_0)
| leq(esk7_0,minus(n3,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_116,plain,
( ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| epred2_0
| leq(n0,esk5_0)
| leq(esk8_0,minus(n3,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_117,plain,
( ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| a_select3(r_ds1_filter,esk7_0,esk8_0) != a_select3(r_ds1_filter,esk8_0,esk7_0)
| epred2_0
| leq(n0,esk6_0) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_118,plain,
( ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| epred2_0
| leq(n0,esk6_0)
| leq(esk7_0,minus(n3,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_119,plain,
( ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| epred2_0
| leq(n0,esk6_0)
| leq(esk8_0,minus(n3,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_120,plain,
~ leq(succ(X1),X1),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_121,negated_conjecture,
( ~ leq(X1,n0)
| ~ epred2_0
| leq(X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_122,plain,
( ~ leq(X1,X2)
| leq(succ(X1),succ(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_123,plain,
succ(minus(X1,n1)) = X1,
inference(rw,[status(thm)],[c_0_90,c_0_31]) ).
cnf(c_0_124,negated_conjecture,
( ~ epred2_0
| a_select3(pminus_ds1_filter,esk2_0,esk1_0) != a_select3(pminus_ds1_filter,esk1_0,esk2_0)
| leq(esk3_0,tptp_minus_1) ),
inference(rw,[status(thm)],[c_0_91,c_0_67]) ).
cnf(c_0_125,negated_conjecture,
( ~ epred2_0
| leq(esk1_0,n5)
| leq(esk3_0,tptp_minus_1) ),
inference(rw,[status(thm)],[c_0_92,c_0_46]) ).
cnf(c_0_126,negated_conjecture,
( ~ epred2_0
| leq(esk2_0,n5)
| leq(esk3_0,tptp_minus_1) ),
inference(rw,[status(thm)],[c_0_93,c_0_46]) ).
cnf(c_0_127,negated_conjecture,
( ~ epred2_0
| leq(n0,esk1_0)
| leq(esk3_0,tptp_minus_1) ),
inference(rw,[status(thm)],[c_0_94,c_0_67]) ).
cnf(c_0_128,negated_conjecture,
( ~ epred2_0
| leq(n0,esk2_0)
| leq(esk3_0,tptp_minus_1) ),
inference(rw,[status(thm)],[c_0_95,c_0_67]) ).
cnf(c_0_129,plain,
( ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| a_select3(q_ds1_filter,esk5_0,esk6_0) != a_select3(q_ds1_filter,esk6_0,esk5_0)
| epred2_0
| leq(esk7_0,minus(n3,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_130,plain,
( a_select3(r_ds1_filter,esk8_0,esk7_0) != a_select3(r_ds1_filter,esk7_0,esk8_0)
| leq(esk5_0,n5)
| epred2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_96,c_0_46]),c_0_51]),c_0_52])]) ).
cnf(c_0_131,plain,
( ~ leq(X1,n2)
| ~ leq(X2,n2)
| ~ leq(n0,X1)
| ~ leq(n0,X2)
| a_select3(r_ds1_filter,X1,X2) = a_select3(r_ds1_filter,X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_42]),c_0_70]),c_0_70])]) ).
cnf(c_0_132,plain,
( leq(esk5_0,n5)
| leq(esk8_0,n2)
| epred2_0 ),
inference(rw,[status(thm)],[c_0_98,c_0_46]) ).
cnf(c_0_133,plain,
( leq(esk5_0,n5)
| leq(esk7_0,n2)
| epred2_0 ),
inference(rw,[status(thm)],[c_0_99,c_0_46]) ).
cnf(c_0_134,plain,
( leq(n0,esk8_0)
| epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_102]),c_0_103]),c_0_104]),c_0_105]) ).
cnf(c_0_135,plain,
( leq(n0,esk7_0)
| epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_101]),c_0_107]),c_0_108]),c_0_109]),c_0_110]) ).
cnf(c_0_136,plain,
( a_select3(r_ds1_filter,esk8_0,esk7_0) != a_select3(r_ds1_filter,esk7_0,esk8_0)
| leq(esk6_0,n5)
| epred2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_111,c_0_46]),c_0_51]),c_0_52])]) ).
cnf(c_0_137,plain,
( leq(esk6_0,n5)
| leq(esk8_0,n2)
| epred2_0 ),
inference(rw,[status(thm)],[c_0_112,c_0_46]) ).
cnf(c_0_138,plain,
( leq(esk6_0,n5)
| leq(esk7_0,n2)
| epred2_0 ),
inference(rw,[status(thm)],[c_0_113,c_0_46]) ).
cnf(c_0_139,plain,
( a_select3(r_ds1_filter,esk8_0,esk7_0) != a_select3(r_ds1_filter,esk7_0,esk8_0)
| leq(n0,esk5_0)
| epred2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_114,c_0_51]),c_0_52])]) ).
cnf(c_0_140,plain,
( leq(n0,esk5_0)
| leq(esk7_0,n2)
| epred2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_115,c_0_70]),c_0_51]),c_0_52])]) ).
cnf(c_0_141,plain,
( leq(n0,esk5_0)
| leq(esk8_0,n2)
| epred2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_116,c_0_70]),c_0_51]),c_0_52])]) ).
cnf(c_0_142,plain,
( a_select3(r_ds1_filter,esk8_0,esk7_0) != a_select3(r_ds1_filter,esk7_0,esk8_0)
| leq(n0,esk6_0)
| epred2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_117,c_0_51]),c_0_52])]) ).
cnf(c_0_143,plain,
( leq(n0,esk6_0)
| leq(esk7_0,n2)
| epred2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_118,c_0_70]),c_0_51]),c_0_52])]) ).
cnf(c_0_144,plain,
( leq(n0,esk6_0)
| leq(esk8_0,n2)
| epred2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_119,c_0_70]),c_0_51]),c_0_52])]) ).
cnf(c_0_145,plain,
( ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| a_select3(q_ds1_filter,esk5_0,esk6_0) != a_select3(q_ds1_filter,esk6_0,esk5_0)
| epred2_0
| leq(esk8_0,minus(n3,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_146,plain,
( ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| a_select3(q_ds1_filter,esk5_0,esk6_0) != a_select3(q_ds1_filter,esk6_0,esk5_0)
| a_select3(r_ds1_filter,esk7_0,esk8_0) != a_select3(r_ds1_filter,esk8_0,esk7_0)
| epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_147,negated_conjecture,
( ~ leq(succ(esk3_0),n0)
| ~ epred2_0 ),
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_148,plain,
( ~ leq(X1,minus(X2,n1))
| leq(succ(X1),X2) ),
inference(spm,[status(thm)],[c_0_122,c_0_123]) ).
cnf(c_0_149,negated_conjecture,
( ~ epred2_0
| leq(esk3_0,tptp_minus_1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_60]),c_0_125]),c_0_126]),c_0_127]),c_0_128]) ).
cnf(c_0_150,plain,
( a_select3(q_ds1_filter,esk6_0,esk5_0) != a_select3(q_ds1_filter,esk5_0,esk6_0)
| leq(esk7_0,n2)
| epred2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_129,c_0_70]),c_0_51]),c_0_52])]) ).
cnf(c_0_151,plain,
( leq(esk5_0,n5)
| epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_132]),c_0_133]),c_0_134]),c_0_135]) ).
cnf(c_0_152,plain,
( leq(esk6_0,n5)
| epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_131]),c_0_137]),c_0_138]),c_0_134]),c_0_135]) ).
cnf(c_0_153,plain,
( leq(n0,esk5_0)
| epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_131]),c_0_140]),c_0_141]),c_0_135]),c_0_134]) ).
cnf(c_0_154,plain,
( leq(n0,esk6_0)
| epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_131]),c_0_143]),c_0_144]),c_0_135]),c_0_134]) ).
cnf(c_0_155,plain,
( a_select3(q_ds1_filter,esk6_0,esk5_0) != a_select3(q_ds1_filter,esk5_0,esk6_0)
| leq(esk8_0,n2)
| epred2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_145,c_0_70]),c_0_51]),c_0_52])]) ).
cnf(c_0_156,plain,
( a_select3(r_ds1_filter,esk8_0,esk7_0) != a_select3(r_ds1_filter,esk7_0,esk8_0)
| a_select3(q_ds1_filter,esk6_0,esk5_0) != a_select3(q_ds1_filter,esk5_0,esk6_0)
| epred2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_146,c_0_51]),c_0_52])]) ).
cnf(c_0_157,negated_conjecture,
~ epred2_0,
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_148]),c_0_67]),c_0_149]) ).
cnf(c_0_158,plain,
( leq(esk7_0,n2)
| epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_101]),c_0_151]),c_0_152]),c_0_153]),c_0_154]) ).
cnf(c_0_159,plain,
( leq(esk8_0,n2)
| epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_101]),c_0_151]),c_0_152]),c_0_153]),c_0_154]) ).
cnf(c_0_160,plain,
( a_select3(r_ds1_filter,esk8_0,esk7_0) != a_select3(r_ds1_filter,esk7_0,esk8_0)
| epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_101]),c_0_151]),c_0_152]),c_0_153]),c_0_154]) ).
cnf(c_0_161,plain,
leq(n0,esk7_0),
inference(sr,[status(thm)],[c_0_135,c_0_157]) ).
cnf(c_0_162,plain,
leq(n0,esk8_0),
inference(sr,[status(thm)],[c_0_134,c_0_157]) ).
cnf(c_0_163,plain,
leq(esk7_0,n2),
inference(sr,[status(thm)],[c_0_158,c_0_157]) ).
cnf(c_0_164,plain,
leq(esk8_0,n2),
inference(sr,[status(thm)],[c_0_159,c_0_157]) ).
cnf(c_0_165,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_131]),c_0_161]),c_0_162]),c_0_163]),c_0_164])]),c_0_157]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV114+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n017.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 08:26:42 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 79.09/10.50 % Version: 3.5.1
% 79.09/10.50 % Preprocessing class: FSLSSMSMSSSNFFN.
% 79.09/10.50 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 79.09/10.50 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 79.09/10.50 % Starting new_bool_3 with 300s (1) cores
% 79.09/10.50 % Starting new_bool_1 with 300s (1) cores
% 79.09/10.50 % Starting sh5l with 300s (1) cores
% 79.09/10.50 % new_bool_1 with pid 1896936 completed with status 0
% 79.09/10.50 % Result found by new_bool_1
% 79.09/10.50 % Preprocessing class: FSLSSMSMSSSNFFN.
% 79.09/10.50 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 79.09/10.50 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 79.09/10.50 % Starting new_bool_3 with 300s (1) cores
% 79.09/10.50 % Starting new_bool_1 with 300s (1) cores
% 79.09/10.50 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 79.09/10.50 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 79.09/10.50 % Search class: FGHSM-FFMM31-DFFFFFNN
% 79.09/10.50 % Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 79.09/10.50 % Starting SubtermCWHack with 31s (1) cores
% 79.09/10.50 % SubtermCWHack with pid 1896939 completed with status 0
% 79.09/10.50 % Result found by SubtermCWHack
% 79.09/10.50 % Preprocessing class: FSLSSMSMSSSNFFN.
% 79.09/10.50 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 79.09/10.50 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 79.09/10.50 % Starting new_bool_3 with 300s (1) cores
% 79.09/10.50 % Starting new_bool_1 with 300s (1) cores
% 79.09/10.50 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 79.09/10.50 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 79.09/10.50 % Search class: FGHSM-FFMM31-DFFFFFNN
% 79.09/10.50 % Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 79.09/10.50 % Starting SubtermCWHack with 31s (1) cores
% 79.09/10.50 % Preprocessing time : 0.003 s
% 79.09/10.50
% 79.09/10.50 % Proof found!
% 79.09/10.50 % SZS status Theorem
% 79.09/10.50 % SZS output start CNFRefutation
% See solution above
% 79.09/10.50 % Parsed axioms : 102
% 79.09/10.50 % Removed by relevancy pruning/SinE : 24
% 79.09/10.50 % Initial clauses : 136
% 79.09/10.50 % Removed in clause preprocessing : 0
% 79.09/10.50 % Initial clauses in saturation : 136
% 79.09/10.50 % Processed clauses : 74624
% 79.09/10.50 % ...of these trivial : 3099
% 79.09/10.50 % ...subsumed : 63866
% 79.09/10.50 % ...remaining for further processing : 7658
% 79.09/10.50 % Other redundant clauses eliminated : 1
% 79.09/10.50 % Clauses deleted for lack of memory : 0
% 79.09/10.50 % Backward-subsumed : 307
% 79.09/10.50 % Backward-rewritten : 419
% 79.09/10.50 % Generated clauses : 1117461
% 79.09/10.50 % ...of the previous two non-redundant : 651272
% 79.09/10.50 % ...aggressively subsumed : 0
% 79.09/10.50 % Contextual simplify-reflections : 67
% 79.09/10.50 % Paramodulations : 1117253
% 79.09/10.50 % Factorizations : 189
% 79.09/10.50 % NegExts : 0
% 79.09/10.50 % Equation resolutions : 1
% 79.09/10.50 % Disequality decompositions : 0
% 79.09/10.50 % Total rewrite steps : 901537
% 79.09/10.50 % ...of those cached : 899527
% 79.09/10.50 % Propositional unsat checks : 0
% 79.09/10.50 % Propositional check models : 0
% 79.09/10.50 % Propositional check unsatisfiable : 0
% 79.09/10.50 % Propositional clauses : 0
% 79.09/10.50 % Propositional clauses after purity: 0
% 79.09/10.50 % Propositional unsat core size : 0
% 79.09/10.50 % Propositional preprocessing time : 0.000
% 79.09/10.50 % Propositional encoding time : 0.000
% 79.09/10.50 % Propositional solver time : 0.000
% 79.09/10.50 % Success case prop preproc time : 0.000
% 79.09/10.50 % Success case prop encoding time : 0.000
% 79.09/10.50 % Success case prop solver time : 0.000
% 79.09/10.50 % Current number of processed clauses : 6914
% 79.09/10.50 % Positive orientable unit clauses : 1074
% 79.09/10.50 % Positive unorientable unit clauses: 2
% 79.09/10.50 % Negative unit clauses : 796
% 79.09/10.50 % Non-unit-clauses : 5042
% 79.09/10.50 % Current number of unprocessed clauses: 574174
% 79.09/10.50 % ...number of literals in the above : 1978370
% 79.09/10.50 % Current number of archived formulas : 0
% 79.09/10.50 % Current number of archived clauses : 744
% 79.09/10.50 % Clause-clause subsumption calls (NU) : 2386819
% 79.09/10.50 % Rec. Clause-clause subsumption calls : 2135159
% 79.09/10.50 % Non-unit clause-clause subsumptions : 18241
% 79.09/10.50 % Unit Clause-clause subsumption calls : 110744
% 79.09/10.50 % Rewrite failures with RHS unbound : 0
% 79.09/10.50 % BW rewrite match attempts : 3174
% 79.09/10.50 % BW rewrite match successes : 87
% 79.09/10.50 % Condensation attempts : 0
% 79.09/10.50 % Condensation successes : 0
% 79.09/10.50 % Termbank termtop insertions : 12620096
% 79.09/10.50 % Search garbage collected termcells : 1197
% 79.09/10.50
% 79.09/10.50 % -------------------------------------------------
% 79.09/10.50 % User time : 9.491 s
% 79.09/10.50 % System time : 0.329 s
% 79.09/10.50 % Total time : 9.820 s
% 79.09/10.50 % Maximum resident set size: 4016 pages
% 79.09/10.50
% 79.09/10.50 % -------------------------------------------------
% 79.09/10.50 % User time : 9.497 s
% 79.09/10.50 % System time : 0.333 s
% 79.09/10.50 % Total time : 9.830 s
% 79.09/10.50 % Maximum resident set size: 4864 pages
% 79.09/10.50 % E exiting
%------------------------------------------------------------------------------