TSTP Solution File: SWV033+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV033+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 21:36:15 EDT 2023
% Result : Theorem 10.95s 11.19s
% Output : CNFRefutation 10.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 89
% Syntax : Number of formulae : 234 ( 71 unt; 68 typ; 0 def)
% Number of atoms : 421 ( 201 equ)
% Maximal formula atoms : 56 ( 2 avg)
% Number of connectives : 346 ( 91 ~; 189 |; 47 &)
% ( 1 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 144 ( 50 >; 94 *; 0 +; 0 <<)
% Number of predicates : 8 ( 6 usr; 2 prp; 0-4 aty)
% Number of functors : 62 ( 62 usr; 17 con; 0-7 aty)
% Number of variables : 109 ( 3 sgn; 59 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
gt: ( $i * $i ) > $o ).
tff(decl_23,type,
leq: ( $i * $i ) > $o ).
tff(decl_24,type,
lt: ( $i * $i ) > $o ).
tff(decl_25,type,
geq: ( $i * $i ) > $o ).
tff(decl_26,type,
pred: $i > $i ).
tff(decl_27,type,
succ: $i > $i ).
tff(decl_28,type,
n0: $i ).
tff(decl_29,type,
uniform_int_rnd: ( $i * $i ) > $i ).
tff(decl_30,type,
dim: ( $i * $i ) > $i ).
tff(decl_31,type,
tptp_const_array1: ( $i * $i ) > $i ).
tff(decl_32,type,
a_select2: ( $i * $i ) > $i ).
tff(decl_33,type,
tptp_const_array2: ( $i * $i * $i ) > $i ).
tff(decl_34,type,
a_select3: ( $i * $i * $i ) > $i ).
tff(decl_35,type,
trans: $i > $i ).
tff(decl_36,type,
inv: $i > $i ).
tff(decl_37,type,
tptp_update3: ( $i * $i * $i * $i ) > $i ).
tff(decl_38,type,
tptp_madd: ( $i * $i ) > $i ).
tff(decl_39,type,
tptp_msub: ( $i * $i ) > $i ).
tff(decl_40,type,
tptp_mmul: ( $i * $i ) > $i ).
tff(decl_41,type,
tptp_minus_1: $i ).
tff(decl_42,type,
sum: ( $i * $i * $i ) > $i ).
tff(decl_43,type,
tptp_float_0_0: $i ).
tff(decl_44,type,
n1: $i ).
tff(decl_45,type,
plus: ( $i * $i ) > $i ).
tff(decl_46,type,
n2: $i ).
tff(decl_47,type,
n3: $i ).
tff(decl_48,type,
n4: $i ).
tff(decl_49,type,
n5: $i ).
tff(decl_50,type,
minus: ( $i * $i ) > $i ).
tff(decl_51,type,
tptp_update2: ( $i * $i * $i ) > $i ).
tff(decl_52,type,
true: $o ).
tff(decl_53,type,
def: $i ).
tff(decl_54,type,
use: $i ).
tff(decl_55,type,
init: $i ).
tff(decl_56,type,
pv1376: $i ).
tff(decl_57,type,
simplex7_init: $i ).
tff(decl_58,type,
s_values7_init: $i ).
tff(decl_59,type,
epred1_4: ( $i * $i * $i * $i ) > $o ).
tff(decl_60,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_61,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_62,type,
esk3_2: ( $i * $i ) > $i ).
tff(decl_63,type,
esk4_2: ( $i * $i ) > $i ).
tff(decl_64,type,
esk5_2: ( $i * $i ) > $i ).
tff(decl_65,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_66,type,
esk7_3: ( $i * $i * $i ) > $i ).
tff(decl_67,type,
esk8_3: ( $i * $i * $i ) > $i ).
tff(decl_68,type,
esk9_3: ( $i * $i * $i ) > $i ).
tff(decl_69,type,
esk10_3: ( $i * $i * $i ) > $i ).
tff(decl_70,type,
esk11_3: ( $i * $i * $i ) > $i ).
tff(decl_71,type,
esk12_3: ( $i * $i * $i ) > $i ).
tff(decl_72,type,
esk13_3: ( $i * $i * $i ) > $i ).
tff(decl_73,type,
esk14_3: ( $i * $i * $i ) > $i ).
tff(decl_74,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_75,type,
esk16_3: ( $i * $i * $i ) > $i ).
tff(decl_76,type,
esk17_3: ( $i * $i * $i ) > $i ).
tff(decl_77,type,
esk18_3: ( $i * $i * $i ) > $i ).
tff(decl_78,type,
esk19_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_79,type,
esk20_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_80,type,
esk21_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_81,type,
esk22_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_82,type,
esk23_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_83,type,
esk24_0: $i ).
tff(decl_84,type,
esk25_0: $i ).
tff(decl_85,type,
esk26_0: $i ).
tff(decl_86,type,
esk27_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_87,type,
esk28_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_88,type,
esk29_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_89,type,
esk30_4: ( $i * $i * $i * $i ) > $i ).
fof(gauss_init_0045,conjecture,
( ( init = init
& leq(n0,pv1376)
& leq(pv1376,n3)
& ! [X14] :
( ( leq(n0,X14)
& leq(X14,n2) )
=> ! [X18] :
( ( leq(n0,X18)
& leq(X18,n3) )
=> a_select3(simplex7_init,X18,X14) = init ) )
& ! [X4] :
( ( leq(n0,X4)
& leq(X4,minus(pv1376,n1)) )
=> a_select2(s_values7_init,X4) = init ) )
=> ( init = init
& ! [X20] :
( ( leq(n0,X20)
& leq(X20,n2) )
=> ! [X21] :
( ( leq(n0,X21)
& leq(X21,n3) )
=> a_select3(simplex7_init,X21,X20) = init ) )
& ! [X22] :
( ( leq(n0,X22)
& leq(X22,minus(plus(n1,pv1376),n1)) )
=> a_select2(tptp_update2(s_values7_init,pv1376,init),X22) = init ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gauss_init_0045) ).
fof(pred_succ,axiom,
! [X1] : pred(succ(X1)) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',pred_succ) ).
fof(succ_plus_1_r,axiom,
! [X1] : plus(X1,n1) = succ(X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_plus_1_r) ).
fof(pred_minus_1,axiom,
! [X1] : minus(X1,n1) = pred(X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',pred_minus_1) ).
fof(succ_plus_1_l,axiom,
! [X1] : plus(n1,X1) = succ(X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_plus_1_l) ).
fof(leq_gt_pred,axiom,
! [X1,X2] :
( leq(X1,pred(X2))
<=> gt(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',leq_gt_pred) ).
fof(leq_gt2,axiom,
! [X1,X2] :
( ( leq(X1,X2)
& X1 != X2 )
=> gt(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',leq_gt2) ).
fof(sel2_update_2,axiom,
! [X5,X7,X1,X17,X25] :
( ( X5 != X7
& a_select2(X1,X7) = X17 )
=> a_select2(tptp_update2(X1,X5,X25),X7) = X17 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',sel2_update_2) ).
fof(succ_plus_2_r,axiom,
! [X1] : plus(X1,n2) = succ(succ(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_plus_2_r) ).
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(leq_gt1,axiom,
! [X1,X2] :
( gt(X2,X1)
=> leq(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',leq_gt1) ).
fof(succ_plus_2_l,axiom,
! [X1] : plus(n2,X1) = succ(succ(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_plus_2_l) ).
fof(successor_3,axiom,
succ(succ(succ(n0))) = n3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_3) ).
fof(reflexivity_leq,axiom,
! [X1] : leq(X1,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',reflexivity_leq) ).
fof(gt_3_0,axiom,
gt(n3,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_3_0) ).
fof(finite_domain_3,axiom,
! [X1] :
( ( leq(n0,X1)
& leq(X1,n3) )
=> ( X1 = n0
| X1 = n1
| X1 = n2
| X1 = n3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finite_domain_3) ).
fof(gt_2_0,axiom,
gt(n2,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_2_0) ).
fof(gt_3_1,axiom,
gt(n3,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_3_1) ).
fof(gt_1_0,axiom,
gt(n1,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_1_0) ).
fof(sel2_update_1,axiom,
! [X1,X7,X17] : a_select2(tptp_update2(X1,X7,X17),X7) = X17,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',sel2_update_1) ).
fof(c_0_21,negated_conjecture,
~ ( ( init = init
& leq(n0,pv1376)
& leq(pv1376,n3)
& ! [X14] :
( ( leq(n0,X14)
& leq(X14,n2) )
=> ! [X18] :
( ( leq(n0,X18)
& leq(X18,n3) )
=> a_select3(simplex7_init,X18,X14) = init ) )
& ! [X4] :
( ( leq(n0,X4)
& leq(X4,minus(pv1376,n1)) )
=> a_select2(s_values7_init,X4) = init ) )
=> ( init = init
& ! [X20] :
( ( leq(n0,X20)
& leq(X20,n2) )
=> ! [X21] :
( ( leq(n0,X21)
& leq(X21,n3) )
=> a_select3(simplex7_init,X21,X20) = init ) )
& ! [X22] :
( ( leq(n0,X22)
& leq(X22,minus(plus(n1,pv1376),n1)) )
=> a_select2(tptp_update2(s_values7_init,pv1376,init),X22) = init ) ) ),
inference(assume_negation,[status(cth)],[gauss_init_0045]) ).
fof(c_0_22,plain,
! [X146] : pred(succ(X146)) = X146,
inference(variable_rename,[status(thm)],[pred_succ]) ).
fof(c_0_23,plain,
! [X135] : plus(X135,n1) = succ(X135),
inference(variable_rename,[status(thm)],[succ_plus_1_r]) ).
fof(c_0_24,plain,
! [X145] : minus(X145,n1) = pred(X145),
inference(variable_rename,[status(thm)],[pred_minus_1]) ).
fof(c_0_25,plain,
! [X136] : plus(n1,X136) = succ(X136),
inference(variable_rename,[status(thm)],[succ_plus_1_l]) ).
fof(c_0_26,negated_conjecture,
! [X186,X187,X188] :
( init = init
& leq(n0,pv1376)
& leq(pv1376,n3)
& ( ~ leq(n0,X186)
| ~ leq(X186,n2)
| ~ leq(n0,X187)
| ~ leq(X187,n3)
| a_select3(simplex7_init,X187,X186) = init )
& ( ~ leq(n0,X188)
| ~ leq(X188,minus(pv1376,n1))
| a_select2(s_values7_init,X188) = init )
& ( leq(n0,esk26_0)
| leq(n0,esk24_0)
| init != init )
& ( leq(esk26_0,minus(plus(n1,pv1376),n1))
| leq(n0,esk24_0)
| init != init )
& ( a_select2(tptp_update2(s_values7_init,pv1376,init),esk26_0) != init
| leq(n0,esk24_0)
| init != init )
& ( leq(n0,esk26_0)
| leq(esk24_0,n2)
| init != init )
& ( leq(esk26_0,minus(plus(n1,pv1376),n1))
| leq(esk24_0,n2)
| init != init )
& ( a_select2(tptp_update2(s_values7_init,pv1376,init),esk26_0) != init
| leq(esk24_0,n2)
| init != init )
& ( leq(n0,esk26_0)
| leq(n0,esk25_0)
| init != init )
& ( leq(esk26_0,minus(plus(n1,pv1376),n1))
| leq(n0,esk25_0)
| init != init )
& ( a_select2(tptp_update2(s_values7_init,pv1376,init),esk26_0) != init
| leq(n0,esk25_0)
| init != init )
& ( leq(n0,esk26_0)
| leq(esk25_0,n3)
| init != init )
& ( leq(esk26_0,minus(plus(n1,pv1376),n1))
| leq(esk25_0,n3)
| init != init )
& ( a_select2(tptp_update2(s_values7_init,pv1376,init),esk26_0) != init
| leq(esk25_0,n3)
| init != init )
& ( leq(n0,esk26_0)
| a_select3(simplex7_init,esk25_0,esk24_0) != init
| init != init )
& ( leq(esk26_0,minus(plus(n1,pv1376),n1))
| a_select3(simplex7_init,esk25_0,esk24_0) != init
| init != init )
& ( a_select2(tptp_update2(s_values7_init,pv1376,init),esk26_0) != init
| a_select3(simplex7_init,esk25_0,esk24_0) != init
| init != init ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])])])]) ).
cnf(c_0_27,plain,
pred(succ(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_28,plain,
plus(X1,n1) = succ(X1),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_29,plain,
minus(X1,n1) = pred(X1),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_30,plain,
plus(n1,X1) = succ(X1),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_31,negated_conjecture,
( leq(esk26_0,minus(plus(n1,pv1376),n1))
| leq(esk25_0,n3)
| $false ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_32,plain,
minus(plus(X1,n1),n1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_28]),c_0_29]) ).
cnf(c_0_33,plain,
plus(n1,X1) = plus(X1,n1),
inference(rw,[status(thm)],[c_0_30,c_0_28]) ).
cnf(c_0_34,negated_conjecture,
( leq(esk26_0,minus(plus(n1,pv1376),n1))
| leq(n0,esk25_0)
| $false ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_35,negated_conjecture,
( leq(esk25_0,n3)
| leq(esk26_0,minus(plus(n1,pv1376),n1)) ),
inference(cn,[status(thm)],[c_0_31]) ).
cnf(c_0_36,plain,
minus(plus(n1,X1),n1) = X1,
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_37,negated_conjecture,
( leq(n0,esk25_0)
| leq(esk26_0,minus(plus(n1,pv1376),n1)) ),
inference(cn,[status(thm)],[c_0_34]) ).
cnf(c_0_38,negated_conjecture,
( leq(esk26_0,minus(plus(n1,pv1376),n1))
| leq(esk24_0,n2)
| $false ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_39,negated_conjecture,
( leq(esk26_0,minus(plus(n1,pv1376),n1))
| leq(n0,esk24_0)
| $false ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_40,negated_conjecture,
( leq(esk26_0,minus(plus(n1,pv1376),n1))
| a_select3(simplex7_init,esk25_0,esk24_0) != init
| $false ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_41,negated_conjecture,
( a_select3(simplex7_init,X2,X1) = init
| ~ leq(n0,X1)
| ~ leq(X1,n2)
| ~ leq(n0,X2)
| ~ leq(X2,n3) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_42,negated_conjecture,
( leq(esk25_0,n3)
| leq(esk26_0,pv1376) ),
inference(rw,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_43,negated_conjecture,
( leq(n0,esk25_0)
| leq(esk26_0,pv1376) ),
inference(rw,[status(thm)],[c_0_37,c_0_36]) ).
cnf(c_0_44,negated_conjecture,
( leq(esk24_0,n2)
| leq(esk26_0,minus(plus(n1,pv1376),n1)) ),
inference(cn,[status(thm)],[c_0_38]) ).
cnf(c_0_45,negated_conjecture,
( leq(n0,esk24_0)
| leq(esk26_0,minus(plus(n1,pv1376),n1)) ),
inference(cn,[status(thm)],[c_0_39]) ).
cnf(c_0_46,negated_conjecture,
( leq(esk26_0,minus(plus(n1,pv1376),n1))
| a_select3(simplex7_init,esk25_0,esk24_0) != init ),
inference(cn,[status(thm)],[c_0_40]) ).
fof(c_0_47,plain,
! [X46,X47] :
( ( ~ leq(X46,pred(X47))
| gt(X47,X46) )
& ( ~ gt(X47,X46)
| leq(X46,pred(X47)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_gt_pred])]) ).
fof(c_0_48,plain,
! [X44,X45] :
( ~ leq(X44,X45)
| X44 = X45
| gt(X45,X44) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_gt2])]) ).
cnf(c_0_49,negated_conjecture,
( a_select3(simplex7_init,esk25_0,X1) = init
| leq(esk26_0,pv1376)
| ~ leq(X1,n2)
| ~ leq(n0,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43]) ).
cnf(c_0_50,negated_conjecture,
( leq(esk24_0,n2)
| leq(esk26_0,pv1376) ),
inference(rw,[status(thm)],[c_0_44,c_0_36]) ).
cnf(c_0_51,negated_conjecture,
( leq(n0,esk24_0)
| leq(esk26_0,pv1376) ),
inference(rw,[status(thm)],[c_0_45,c_0_36]) ).
cnf(c_0_52,negated_conjecture,
( leq(esk26_0,pv1376)
| a_select3(simplex7_init,esk25_0,esk24_0) != init ),
inference(rw,[status(thm)],[c_0_46,c_0_36]) ).
cnf(c_0_53,negated_conjecture,
( leq(n0,esk26_0)
| leq(esk25_0,n3)
| $false ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_54,negated_conjecture,
( leq(n0,esk26_0)
| leq(n0,esk25_0)
| $false ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_55,plain,
! [X176,X177,X178,X179,X180] :
( X176 = X177
| a_select2(X178,X177) != X179
| a_select2(tptp_update2(X178,X176,X180),X177) = X179 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sel2_update_2])]) ).
cnf(c_0_56,plain,
( leq(X2,pred(X1))
| ~ gt(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_57,plain,
( X1 = X2
| gt(X2,X1)
| ~ leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_58,negated_conjecture,
leq(esk26_0,pv1376),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51]),c_0_52]) ).
cnf(c_0_59,negated_conjecture,
( leq(n0,esk26_0)
| leq(esk25_0,n3) ),
inference(cn,[status(thm)],[c_0_53]) ).
cnf(c_0_60,negated_conjecture,
( leq(n0,esk25_0)
| leq(n0,esk26_0) ),
inference(cn,[status(thm)],[c_0_54]) ).
cnf(c_0_61,negated_conjecture,
( leq(n0,esk26_0)
| leq(esk24_0,n2)
| $false ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_62,negated_conjecture,
( leq(n0,esk26_0)
| leq(n0,esk24_0)
| $false ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_63,negated_conjecture,
( leq(n0,esk26_0)
| a_select3(simplex7_init,esk25_0,esk24_0) != init
| $false ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_64,plain,
! [X137] : plus(X137,n2) = succ(succ(X137)),
inference(variable_rename,[status(thm)],[succ_plus_2_r]) ).
cnf(c_0_65,plain,
succ(succ(n0)) = n2,
inference(split_conjunct,[status(thm)],[successor_2]) ).
cnf(c_0_66,plain,
succ(n0) = n1,
inference(split_conjunct,[status(thm)],[successor_1]) ).
cnf(c_0_67,negated_conjecture,
( leq(esk25_0,n3)
| a_select2(tptp_update2(s_values7_init,pv1376,init),esk26_0) != init
| $false ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_68,plain,
( X1 = X2
| a_select2(tptp_update2(X3,X1,X5),X2) = X4
| a_select2(X3,X2) != X4 ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_69,plain,
( leq(X2,minus(X1,n1))
| ~ gt(X1,X2) ),
inference(rw,[status(thm)],[c_0_56,c_0_29]) ).
cnf(c_0_70,negated_conjecture,
( pv1376 = esk26_0
| gt(pv1376,esk26_0) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_71,negated_conjecture,
( a_select3(simplex7_init,esk25_0,X1) = init
| leq(n0,esk26_0)
| ~ leq(X1,n2)
| ~ leq(n0,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_59]),c_0_60]) ).
cnf(c_0_72,negated_conjecture,
( leq(n0,esk26_0)
| leq(esk24_0,n2) ),
inference(cn,[status(thm)],[c_0_61]) ).
cnf(c_0_73,negated_conjecture,
( leq(n0,esk24_0)
| leq(n0,esk26_0) ),
inference(cn,[status(thm)],[c_0_62]) ).
cnf(c_0_74,negated_conjecture,
( leq(n0,esk26_0)
| a_select3(simplex7_init,esk25_0,esk24_0) != init ),
inference(cn,[status(thm)],[c_0_63]) ).
cnf(c_0_75,negated_conjecture,
( leq(n0,esk25_0)
| a_select2(tptp_update2(s_values7_init,pv1376,init),esk26_0) != init
| $false ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_76,plain,
! [X42,X43] :
( ~ gt(X43,X42)
| leq(X42,X43) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_gt1])]) ).
cnf(c_0_77,negated_conjecture,
( leq(esk24_0,n2)
| a_select2(tptp_update2(s_values7_init,pv1376,init),esk26_0) != init
| $false ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_78,negated_conjecture,
( leq(n0,esk24_0)
| a_select2(tptp_update2(s_values7_init,pv1376,init),esk26_0) != init
| $false ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_79,plain,
! [X138] : plus(n2,X138) = succ(succ(X138)),
inference(variable_rename,[status(thm)],[succ_plus_2_l]) ).
cnf(c_0_80,plain,
plus(X1,n2) = succ(succ(X1)),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_81,plain,
succ(succ(succ(n0))) = n3,
inference(split_conjunct,[status(thm)],[successor_3]) ).
cnf(c_0_82,plain,
plus(plus(n0,n1),n1) = n2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_28]),c_0_28]) ).
cnf(c_0_83,plain,
plus(n0,n1) = n1,
inference(rw,[status(thm)],[c_0_66,c_0_28]) ).
cnf(c_0_84,negated_conjecture,
( leq(esk25_0,n3)
| a_select2(tptp_update2(s_values7_init,pv1376,init),esk26_0) != init ),
inference(cn,[status(thm)],[c_0_67]) ).
cnf(c_0_85,plain,
( a_select2(tptp_update2(X1,X2,X3),X4) = a_select2(X1,X4)
| X2 = X4 ),
inference(er,[status(thm)],[c_0_68]) ).
cnf(c_0_86,negated_conjecture,
( a_select2(s_values7_init,X1) = init
| ~ leq(n0,X1)
| ~ leq(X1,minus(pv1376,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_87,negated_conjecture,
( pv1376 = esk26_0
| leq(esk26_0,minus(pv1376,n1)) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_88,negated_conjecture,
leq(n0,esk26_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_73]),c_0_74]) ).
cnf(c_0_89,negated_conjecture,
( pv1376 = esk26_0
| leq(n0,esk25_0)
| gt(pv1376,esk26_0) ),
inference(spm,[status(thm)],[c_0_57,c_0_43]) ).
cnf(c_0_90,negated_conjecture,
( leq(n0,esk25_0)
| a_select2(tptp_update2(s_values7_init,pv1376,init),esk26_0) != init ),
inference(cn,[status(thm)],[c_0_75]) ).
fof(c_0_91,plain,
! [X34] : leq(X34,X34),
inference(variable_rename,[status(thm)],[reflexivity_leq]) ).
cnf(c_0_92,plain,
( leq(X2,X1)
| ~ gt(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_93,plain,
gt(n3,n0),
inference(split_conjunct,[status(thm)],[gt_3_0]) ).
cnf(c_0_94,negated_conjecture,
( leq(esk24_0,n2)
| a_select2(tptp_update2(s_values7_init,pv1376,init),esk26_0) != init ),
inference(cn,[status(thm)],[c_0_77]) ).
cnf(c_0_95,negated_conjecture,
( pv1376 = esk26_0
| leq(n0,esk24_0)
| gt(pv1376,esk26_0) ),
inference(spm,[status(thm)],[c_0_57,c_0_51]) ).
cnf(c_0_96,negated_conjecture,
( leq(n0,esk24_0)
| a_select2(tptp_update2(s_values7_init,pv1376,init),esk26_0) != init ),
inference(cn,[status(thm)],[c_0_78]) ).
cnf(c_0_97,plain,
( gt(X2,X1)
| ~ leq(X1,pred(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_98,plain,
plus(n2,X1) = succ(succ(X1)),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_99,plain,
plus(X1,n2) = plus(plus(X1,n1),n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_28]),c_0_28]) ).
cnf(c_0_100,plain,
plus(plus(plus(n0,n1),n1),n1) = n3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_81,c_0_28]),c_0_28]),c_0_28]) ).
cnf(c_0_101,plain,
plus(n1,n1) = n2,
inference(rw,[status(thm)],[c_0_82,c_0_83]) ).
fof(c_0_102,plain,
! [X197] :
( ~ leq(n0,X197)
| ~ leq(X197,n3)
| X197 = n0
| X197 = n1
| X197 = n2
| X197 = n3 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[finite_domain_3])]) ).
cnf(c_0_103,negated_conjecture,
( pv1376 = esk26_0
| leq(esk25_0,n3)
| a_select2(s_values7_init,esk26_0) != init ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_104,negated_conjecture,
( a_select2(s_values7_init,esk26_0) = init
| pv1376 = esk26_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_88])]) ).
cnf(c_0_105,negated_conjecture,
( pv1376 = esk26_0
| leq(esk26_0,minus(pv1376,n1))
| leq(n0,esk25_0) ),
inference(spm,[status(thm)],[c_0_69,c_0_89]) ).
cnf(c_0_106,negated_conjecture,
( pv1376 = esk26_0
| leq(n0,esk25_0)
| a_select2(s_values7_init,esk26_0) != init ),
inference(spm,[status(thm)],[c_0_90,c_0_85]) ).
cnf(c_0_107,plain,
leq(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_108,plain,
leq(n0,n3),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_109,negated_conjecture,
( pv1376 = esk26_0
| leq(esk24_0,n2)
| a_select2(s_values7_init,esk26_0) != init ),
inference(spm,[status(thm)],[c_0_94,c_0_85]) ).
cnf(c_0_110,negated_conjecture,
( pv1376 = esk26_0
| leq(esk26_0,minus(pv1376,n1))
| leq(n0,esk24_0) ),
inference(spm,[status(thm)],[c_0_69,c_0_95]) ).
cnf(c_0_111,negated_conjecture,
( pv1376 = esk26_0
| leq(n0,esk24_0)
| a_select2(s_values7_init,esk26_0) != init ),
inference(spm,[status(thm)],[c_0_96,c_0_85]) ).
cnf(c_0_112,plain,
( gt(X2,X1)
| ~ leq(X1,minus(X2,n1)) ),
inference(rw,[status(thm)],[c_0_97,c_0_29]) ).
cnf(c_0_113,plain,
plus(n2,X1) = plus(plus(X1,n1),n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_98,c_0_28]),c_0_28]) ).
cnf(c_0_114,plain,
plus(n1,plus(X1,n1)) = plus(X1,n2),
inference(rw,[status(thm)],[c_0_99,c_0_33]) ).
cnf(c_0_115,plain,
plus(n2,n1) = n3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_100,c_0_83]),c_0_101]) ).
cnf(c_0_116,negated_conjecture,
( a_select2(tptp_update2(s_values7_init,pv1376,init),esk26_0) != init
| a_select3(simplex7_init,esk25_0,esk24_0) != init
| $false ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_117,plain,
( X1 = n0
| X1 = n1
| X1 = n2
| X1 = n3
| ~ leq(n0,X1)
| ~ leq(X1,n3) ),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
cnf(c_0_118,negated_conjecture,
( pv1376 = esk26_0
| leq(esk25_0,n3) ),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_119,negated_conjecture,
( pv1376 = esk26_0
| leq(n0,esk25_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_105]),c_0_88])]),c_0_106]) ).
cnf(c_0_120,negated_conjecture,
( a_select3(simplex7_init,n3,X1) = init
| ~ leq(X1,n2)
| ~ leq(n0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_107]),c_0_108])]) ).
cnf(c_0_121,negated_conjecture,
( pv1376 = esk26_0
| leq(esk24_0,n2) ),
inference(spm,[status(thm)],[c_0_109,c_0_104]) ).
cnf(c_0_122,negated_conjecture,
( pv1376 = esk26_0
| leq(n0,esk24_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_110]),c_0_88])]),c_0_111]) ).
cnf(c_0_123,plain,
gt(X1,minus(X1,n1)),
inference(spm,[status(thm)],[c_0_112,c_0_107]) ).
cnf(c_0_124,plain,
plus(X1,n2) = plus(n2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_113,c_0_33]),c_0_114]) ).
cnf(c_0_125,plain,
plus(n1,n2) = n3,
inference(rw,[status(thm)],[c_0_115,c_0_33]) ).
cnf(c_0_126,plain,
gt(n2,n0),
inference(split_conjunct,[status(thm)],[gt_2_0]) ).
cnf(c_0_127,negated_conjecture,
( a_select3(simplex7_init,esk25_0,esk24_0) != init
| a_select2(tptp_update2(s_values7_init,pv1376,init),esk26_0) != init ),
inference(cn,[status(thm)],[c_0_116]) ).
cnf(c_0_128,negated_conjecture,
( pv1376 = esk26_0
| esk25_0 = n3
| esk25_0 = n2
| esk25_0 = n1
| esk25_0 = n0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_119]) ).
cnf(c_0_129,negated_conjecture,
( a_select3(simplex7_init,n3,esk24_0) = init
| pv1376 = esk26_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_122]) ).
cnf(c_0_130,plain,
leq(minus(X1,n1),X1),
inference(spm,[status(thm)],[c_0_92,c_0_123]) ).
cnf(c_0_131,plain,
minus(n3,n1) = n2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_124]),c_0_125]) ).
cnf(c_0_132,plain,
leq(n0,n2),
inference(spm,[status(thm)],[c_0_92,c_0_126]) ).
cnf(c_0_133,negated_conjecture,
( esk25_0 = n0
| esk25_0 = n1
| esk25_0 = n2
| pv1376 = esk26_0
| a_select2(tptp_update2(s_values7_init,pv1376,init),esk26_0) != init ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_129]) ).
cnf(c_0_134,negated_conjecture,
( a_select3(simplex7_init,n2,X1) = init
| ~ leq(X1,n2)
| ~ leq(n0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_130]),c_0_131]),c_0_131]),c_0_132])]) ).
cnf(c_0_135,plain,
gt(n3,n1),
inference(split_conjunct,[status(thm)],[gt_3_1]) ).
cnf(c_0_136,plain,
gt(n1,n0),
inference(split_conjunct,[status(thm)],[gt_1_0]) ).
cnf(c_0_137,negated_conjecture,
( pv1376 = esk26_0
| esk25_0 = n2
| esk25_0 = n1
| esk25_0 = n0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_85]),c_0_104]) ).
cnf(c_0_138,negated_conjecture,
( a_select3(simplex7_init,n2,esk24_0) = init
| pv1376 = esk26_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_121]),c_0_122]) ).
cnf(c_0_139,plain,
leq(n1,n3),
inference(spm,[status(thm)],[c_0_92,c_0_135]) ).
cnf(c_0_140,plain,
leq(n0,n1),
inference(spm,[status(thm)],[c_0_92,c_0_136]) ).
cnf(c_0_141,negated_conjecture,
( esk25_0 = n0
| esk25_0 = n1
| pv1376 = esk26_0
| a_select2(tptp_update2(s_values7_init,pv1376,init),esk26_0) != init ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_137]),c_0_138]) ).
cnf(c_0_142,negated_conjecture,
( a_select3(simplex7_init,n1,X1) = init
| ~ leq(X1,n2)
| ~ leq(n0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_139]),c_0_140])]) ).
cnf(c_0_143,negated_conjecture,
( pv1376 = esk26_0
| esk25_0 = n1
| esk25_0 = n0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_85]),c_0_104]) ).
cnf(c_0_144,negated_conjecture,
( a_select3(simplex7_init,n1,esk24_0) = init
| pv1376 = esk26_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_121]),c_0_122]) ).
cnf(c_0_145,negated_conjecture,
( esk25_0 = n0
| pv1376 = esk26_0
| a_select2(tptp_update2(s_values7_init,pv1376,init),esk26_0) != init ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_143]),c_0_144]) ).
cnf(c_0_146,negated_conjecture,
( a_select3(simplex7_init,n0,X1) = init
| ~ leq(X1,n2)
| ~ leq(n0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_108]),c_0_107])]) ).
cnf(c_0_147,negated_conjecture,
( pv1376 = esk26_0
| esk25_0 = n0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_85]),c_0_104]) ).
cnf(c_0_148,negated_conjecture,
( a_select3(simplex7_init,n0,esk24_0) = init
| pv1376 = esk26_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_121]),c_0_122]) ).
cnf(c_0_149,negated_conjecture,
( pv1376 = esk26_0
| a_select2(tptp_update2(s_values7_init,pv1376,init),esk26_0) != init ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_147]),c_0_148]) ).
fof(c_0_150,plain,
! [X173,X174,X175] : a_select2(tptp_update2(X173,X174,X175),X174) = X175,
inference(variable_rename,[status(thm)],[sel2_update_1]) ).
cnf(c_0_151,negated_conjecture,
pv1376 = esk26_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_85]),c_0_104]) ).
cnf(c_0_152,plain,
a_select2(tptp_update2(X1,X2,X3),X2) = X3,
inference(split_conjunct,[status(thm)],[c_0_150]) ).
cnf(c_0_153,negated_conjecture,
leq(esk25_0,n3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_151]),c_0_152])]) ).
cnf(c_0_154,negated_conjecture,
leq(n0,esk25_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_151]),c_0_152])]) ).
cnf(c_0_155,negated_conjecture,
leq(esk24_0,n2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_151]),c_0_152])]) ).
cnf(c_0_156,negated_conjecture,
leq(n0,esk24_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_151]),c_0_152])]) ).
cnf(c_0_157,negated_conjecture,
( esk25_0 = n3
| esk25_0 = n2
| esk25_0 = n1
| esk25_0 = n0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_153]),c_0_154])]) ).
cnf(c_0_158,negated_conjecture,
a_select3(simplex7_init,n3,esk24_0) = init,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_155]),c_0_156])]) ).
cnf(c_0_159,negated_conjecture,
( esk25_0 = n0
| esk25_0 = n1
| esk25_0 = n2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_157]),c_0_151]),c_0_152]),c_0_158])]) ).
cnf(c_0_160,negated_conjecture,
a_select3(simplex7_init,n2,esk24_0) = init,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_155]),c_0_156])]) ).
cnf(c_0_161,negated_conjecture,
( esk25_0 = n1
| esk25_0 = n0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_159]),c_0_151]),c_0_152]),c_0_160])]) ).
cnf(c_0_162,negated_conjecture,
a_select3(simplex7_init,n1,esk24_0) = init,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_155]),c_0_156])]) ).
cnf(c_0_163,negated_conjecture,
esk25_0 = n0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_161]),c_0_151]),c_0_152]),c_0_162])]) ).
cnf(c_0_164,negated_conjecture,
a_select3(simplex7_init,n0,esk24_0) = init,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_155]),c_0_156])]) ).
cnf(c_0_165,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_127,c_0_151]),c_0_152]),c_0_163]),c_0_164])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWV033+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.00/0.11 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.10/0.31 % Computer : n019.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Aug 29 07:37:43 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.15/0.53 start to proof: theBenchmark
% 10.95/11.19 % Version : CSE_E---1.5
% 10.95/11.19 % Problem : theBenchmark.p
% 10.95/11.19 % Proof found
% 10.95/11.19 % SZS status Theorem for theBenchmark.p
% 10.95/11.19 % SZS output start Proof
% See solution above
% 10.95/11.20 % Total time : 10.638000 s
% 10.95/11.20 % SZS output end Proof
% 10.95/11.20 % Total time : 10.642000 s
%------------------------------------------------------------------------------