TSTP Solution File: SWV089+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV089+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n027.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 21:36:30 EDT 2023
% Result : Theorem 0.20s 0.71s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 75
% Syntax : Number of formulae : 113 ( 24 unt; 63 typ; 0 def)
% Number of atoms : 141 ( 121 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 135 ( 44 ~; 73 |; 14 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 8 ( 2 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 : 57 ( 57 usr; 12 con; 0-7 aty)
% Number of variables : 76 ( 7 sgn; 41 !; 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,
u_defuse: $i ).
tff(decl_56,type,
xinit_defuse: $i ).
tff(decl_57,type,
epred1_4: ( $i * $i * $i * $i ) > $o ).
tff(decl_58,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_59,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_60,type,
esk3_2: ( $i * $i ) > $i ).
tff(decl_61,type,
esk4_2: ( $i * $i ) > $i ).
tff(decl_62,type,
esk5_2: ( $i * $i ) > $i ).
tff(decl_63,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_64,type,
esk7_3: ( $i * $i * $i ) > $i ).
tff(decl_65,type,
esk8_3: ( $i * $i * $i ) > $i ).
tff(decl_66,type,
esk9_3: ( $i * $i * $i ) > $i ).
tff(decl_67,type,
esk10_3: ( $i * $i * $i ) > $i ).
tff(decl_68,type,
esk11_3: ( $i * $i * $i ) > $i ).
tff(decl_69,type,
esk12_3: ( $i * $i * $i ) > $i ).
tff(decl_70,type,
esk13_3: ( $i * $i * $i ) > $i ).
tff(decl_71,type,
esk14_3: ( $i * $i * $i ) > $i ).
tff(decl_72,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_73,type,
esk16_3: ( $i * $i * $i ) > $i ).
tff(decl_74,type,
esk17_3: ( $i * $i * $i ) > $i ).
tff(decl_75,type,
esk18_3: ( $i * $i * $i ) > $i ).
tff(decl_76,type,
esk19_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_77,type,
esk20_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_78,type,
esk21_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_79,type,
esk22_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_80,type,
esk23_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_81,type,
esk24_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_82,type,
esk25_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_83,type,
esk26_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_84,type,
esk27_4: ( $i * $i * $i * $i ) > $i ).
fof(quaternion_ds1_inuse_0001,conjecture,
( true
=> ( a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n0,n0) = use
& a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n1,n0) = use
& a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n2,n0) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n3) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n4) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n5) = use ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_inuse_0001) ).
fof(sel2_update_1,axiom,
! [X1,X7,X17] : a_select2(tptp_update2(X1,X7,X17),X7) = X17,
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',sel2_update_1) ).
fof(sel3_update_1,axiom,
! [X1,X7,X24,X17] : a_select3(tptp_update3(X1,X7,X24,X17),X7,X24) = X17,
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',sel3_update_1) ).
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/sandbox/benchmark/Axioms/SWV003+0.ax',sel2_update_2) ).
fof(sel3_update_2,axiom,
! [X5,X11,X7,X24,X1,X17,X25] :
( ( X5 != X7
& X11 = X24
& a_select3(X1,X7,X24) = X17 )
=> a_select3(tptp_update3(X1,X5,X11,X25),X7,X24) = X17 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',sel3_update_2) ).
fof(irreflexivity_gt,axiom,
! [X1] : ~ gt(X1,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',irreflexivity_gt) ).
fof(gt_5_4,axiom,
gt(n5,n4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_5_4) ).
fof(gt_5_3,axiom,
gt(n5,n3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_5_3) ).
fof(gt_4_3,axiom,
gt(n4,n3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_4_3) ).
fof(gt_2_1,axiom,
gt(n2,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_2_1) ).
fof(gt_2_0,axiom,
gt(n2,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_2_0) ).
fof(gt_1_0,axiom,
gt(n1,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_1_0) ).
fof(c_0_12,negated_conjecture,
~ ( true
=> ( a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n0,n0) = use
& a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n1,n0) = use
& a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n2,n0) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n3) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n4) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n5) = use ) ),
inference(assume_negation,[status(cth)],[quaternion_ds1_inuse_0001]) ).
fof(c_0_13,negated_conjecture,
( true
& ( a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n0,n0) != use
| a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n1,n0) != use
| a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n2,n0) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n3) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n4) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n5) != use ) ),
inference(fof_nnf,[status(thm)],[c_0_12]) ).
fof(c_0_14,plain,
! [X173,X174,X175] : a_select2(tptp_update2(X173,X174,X175),X174) = X175,
inference(variable_rename,[status(thm)],[sel2_update_1]) ).
fof(c_0_15,plain,
! [X154,X155,X156,X157] : a_select3(tptp_update3(X154,X155,X156,X157),X155,X156) = X157,
inference(variable_rename,[status(thm)],[sel3_update_1]) ).
fof(c_0_16,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_17,negated_conjecture,
( a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n0,n0) != use
| a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n1,n0) != use
| a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n2,n0) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n3) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n4) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n5) != use ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_18,plain,
a_select2(tptp_update2(X1,X2,X3),X2) = X3,
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_19,plain,
a_select3(tptp_update3(X1,X2,X3,X4),X2,X3) = X4,
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_20,plain,
( X1 = X2
| a_select2(tptp_update2(X3,X1,X5),X2) = X4
| a_select2(X3,X2) != X4 ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_21,negated_conjecture,
( a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n1,n0) != use
| a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n2,n0) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n4) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n5) != use ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_18]),c_0_19])]) ).
cnf(c_0_22,plain,
( a_select2(tptp_update2(X1,X2,X3),X4) = a_select2(X1,X4)
| X2 = X4 ),
inference(er,[status(thm)],[c_0_20]) ).
cnf(c_0_23,negated_conjecture,
( n4 = n3
| a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n1,n0) != use
| a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n2,n0) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n5) != use ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_18])]) ).
fof(c_0_24,plain,
! [X158,X159,X160,X161,X162,X163,X164] :
( X158 = X160
| X159 != X161
| a_select3(X162,X160,X161) != X163
| a_select3(tptp_update3(X162,X158,X159,X164),X160,X161) = X163 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sel3_update_2])]) ).
cnf(c_0_25,negated_conjecture,
( n5 = n3
| n4 = n3
| a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n1,n0) != use
| a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n2,n0) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n5) != use ),
inference(spm,[status(thm)],[c_0_23,c_0_22]) ).
cnf(c_0_26,plain,
( X1 = X2
| a_select3(tptp_update3(X5,X1,X3,X7),X2,X4) = X6
| X3 != X4
| a_select3(X5,X2,X4) != X6 ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_27,negated_conjecture,
( n5 = n4
| n4 = n3
| n5 = n3
| a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n1,n0) != use
| a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n2,n0) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n5) != use ),
inference(spm,[status(thm)],[c_0_25,c_0_22]) ).
cnf(c_0_28,plain,
( a_select3(tptp_update3(X1,X2,X3,X4),X5,X3) = X6
| X2 = X5
| a_select3(X1,X5,X3) != X6 ),
inference(er,[status(thm)],[c_0_26]) ).
cnf(c_0_29,negated_conjecture,
( n5 = n3
| n4 = n3
| n5 = n4
| a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n1,n0) != use
| a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n2,n0) != use ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_22]),c_0_18])]) ).
cnf(c_0_30,plain,
( a_select3(tptp_update3(X1,X2,X3,X4),X5,X3) = a_select3(X1,X5,X3)
| X2 = X5 ),
inference(er,[status(thm)],[c_0_28]) ).
cnf(c_0_31,negated_conjecture,
( n1 = n0
| n5 = n4
| n4 = n3
| n5 = n3
| a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n2,n0) != use ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_19])]) ).
cnf(c_0_32,negated_conjecture,
( n2 = n0
| n5 = n3
| n4 = n3
| n5 = n4
| n1 = n0
| a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n2,n0) != use ),
inference(spm,[status(thm)],[c_0_31,c_0_30]) ).
fof(c_0_33,plain,
! [X1] : ~ gt(X1,X1),
inference(fof_simplification,[status(thm)],[irreflexivity_gt]) ).
cnf(c_0_34,negated_conjecture,
( n2 = n1
| n1 = n0
| n5 = n4
| n4 = n3
| n5 = n3
| n2 = n0
| a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n2,n0) != use ),
inference(spm,[status(thm)],[c_0_32,c_0_30]) ).
fof(c_0_35,plain,
! [X33] : ~ gt(X33,X33),
inference(variable_rename,[status(thm)],[c_0_33]) ).
cnf(c_0_36,plain,
gt(n5,n4),
inference(split_conjunct,[status(thm)],[gt_5_4]) ).
cnf(c_0_37,negated_conjecture,
( n2 = n0
| n5 = n3
| n4 = n3
| n5 = n4
| n1 = n0
| n2 = n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_30]),c_0_19])]) ).
cnf(c_0_38,plain,
~ gt(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_39,plain,
gt(n5,n3),
inference(split_conjunct,[status(thm)],[gt_5_3]) ).
cnf(c_0_40,negated_conjecture,
( n2 = n1
| n1 = n0
| n4 = n3
| n5 = n3
| n2 = n0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]) ).
cnf(c_0_41,plain,
gt(n4,n3),
inference(split_conjunct,[status(thm)],[gt_4_3]) ).
cnf(c_0_42,negated_conjecture,
( n2 = n0
| n4 = n3
| n1 = n0
| n2 = n1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_38]) ).
cnf(c_0_43,plain,
gt(n2,n1),
inference(split_conjunct,[status(thm)],[gt_2_1]) ).
cnf(c_0_44,negated_conjecture,
( n2 = n1
| n1 = n0
| n2 = n0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_38]) ).
cnf(c_0_45,plain,
gt(n2,n0),
inference(split_conjunct,[status(thm)],[gt_2_0]) ).
cnf(c_0_46,negated_conjecture,
( n2 = n0
| n1 = n0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_38]) ).
cnf(c_0_47,plain,
gt(n1,n0),
inference(split_conjunct,[status(thm)],[gt_1_0]) ).
cnf(c_0_48,negated_conjecture,
n1 = n0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_38]) ).
cnf(c_0_49,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_48]),c_0_38]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWV089+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 05:14:07 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.56 start to proof: theBenchmark
% 0.20/0.71 % Version : CSE_E---1.5
% 0.20/0.71 % Problem : theBenchmark.p
% 0.20/0.71 % Proof found
% 0.20/0.71 % SZS status Theorem for theBenchmark.p
% 0.20/0.71 % SZS output start Proof
% See solution above
% 0.20/0.72 % Total time : 0.137000 s
% 0.20/0.72 % SZS output end Proof
% 0.20/0.72 % Total time : 0.142000 s
%------------------------------------------------------------------------------