TSTP Solution File: SWV103+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV103+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 : n026.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 21:36:34 EDT 2023
% Result : Theorem 0.21s 0.70s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 83
% Syntax : Number of formulae : 146 ( 45 unt; 64 typ; 0 def)
% Number of atoms : 401 ( 366 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 406 ( 87 ~; 277 |; 39 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 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 : 58 ( 58 usr; 13 con; 0-7 aty)
% Number of variables : 32 ( 3 sgn; 19 !; 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,
sigma_defuse: $i ).
tff(decl_58,type,
epred1_4: ( $i * $i * $i * $i ) > $o ).
tff(decl_59,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_60,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_61,type,
esk3_2: ( $i * $i ) > $i ).
tff(decl_62,type,
esk4_2: ( $i * $i ) > $i ).
tff(decl_63,type,
esk5_2: ( $i * $i ) > $i ).
tff(decl_64,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_65,type,
esk7_3: ( $i * $i * $i ) > $i ).
tff(decl_66,type,
esk8_3: ( $i * $i * $i ) > $i ).
tff(decl_67,type,
esk9_3: ( $i * $i * $i ) > $i ).
tff(decl_68,type,
esk10_3: ( $i * $i * $i ) > $i ).
tff(decl_69,type,
esk11_3: ( $i * $i * $i ) > $i ).
tff(decl_70,type,
esk12_3: ( $i * $i * $i ) > $i ).
tff(decl_71,type,
esk13_3: ( $i * $i * $i ) > $i ).
tff(decl_72,type,
esk14_3: ( $i * $i * $i ) > $i ).
tff(decl_73,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_74,type,
esk16_3: ( $i * $i * $i ) > $i ).
tff(decl_75,type,
esk17_3: ( $i * $i * $i ) > $i ).
tff(decl_76,type,
esk18_3: ( $i * $i * $i ) > $i ).
tff(decl_77,type,
esk19_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_78,type,
esk20_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_79,type,
esk21_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_80,type,
esk22_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_81,type,
esk23_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_82,type,
esk24_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_83,type,
esk25_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_84,type,
esk26_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_85,type,
esk27_4: ( $i * $i * $i * $i ) > $i ).
fof(quaternion_ds1_inuse_0015,conjecture,
( ( a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use )
=> ( a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5) = use ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_inuse_0015) ).
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(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(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_5_2,axiom,
gt(n5,n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_5_2) ).
fof(gt_5_1,axiom,
gt(n5,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_5_1) ).
fof(gt_5_0,axiom,
gt(n5,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_5_0) ).
fof(gt_4_3,axiom,
gt(n4,n3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_4_3) ).
fof(gt_4_2,axiom,
gt(n4,n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_4_2) ).
fof(gt_4_1,axiom,
gt(n4,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_4_1) ).
fof(gt_4_0,axiom,
gt(n4,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_4_0) ).
fof(gt_3_2,axiom,
gt(n3,n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_3_2) ).
fof(gt_3_1,axiom,
gt(n3,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_3_1) ).
fof(gt_3_0,axiom,
gt(n3,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_3_0) ).
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_19,negated_conjecture,
~ ( ( a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use )
=> ( a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5) = use ) ),
inference(assume_negation,[status(cth)],[quaternion_ds1_inuse_0015]) ).
fof(c_0_20,negated_conjecture,
( a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& ( a_select3(u_defuse,n0,n0) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n2,n0) != use
| a_select2(xinit_defuse,n3) != use
| a_select2(xinit_defuse,n4) != use
| a_select2(xinit_defuse,n5) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5) != use ) ),
inference(fof_nnf,[status(thm)],[c_0_19]) ).
fof(c_0_21,plain,
! [X173,X174,X175] : a_select2(tptp_update2(X173,X174,X175),X174) = X175,
inference(variable_rename,[status(thm)],[sel2_update_1]) ).
fof(c_0_22,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_23,negated_conjecture,
( a_select3(u_defuse,n0,n0) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n2,n0) != use
| a_select2(xinit_defuse,n3) != use
| a_select2(xinit_defuse,n4) != use
| a_select2(xinit_defuse,n5) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5) != use ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_24,negated_conjecture,
a_select2(xinit_defuse,n3) = use,
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_25,negated_conjecture,
a_select2(xinit_defuse,n4) = use,
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_26,negated_conjecture,
a_select2(xinit_defuse,n5) = use,
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_27,negated_conjecture,
a_select3(u_defuse,n0,n0) = use,
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_28,negated_conjecture,
a_select3(u_defuse,n1,n0) = use,
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_29,negated_conjecture,
a_select3(u_defuse,n2,n0) = use,
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_30,plain,
a_select2(tptp_update2(X1,X2,X3),X2) = X3,
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_31,plain,
( X1 = X2
| a_select2(tptp_update2(X3,X1,X5),X2) = X4
| a_select2(X3,X2) != X4 ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_32,negated_conjecture,
( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_24]),c_0_25]),c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30])]) ).
cnf(c_0_33,plain,
( a_select2(tptp_update2(X1,X2,X3),X4) = a_select2(X1,X4)
| X2 = X4 ),
inference(er,[status(thm)],[c_0_31]) ).
cnf(c_0_34,negated_conjecture,
( n5 = n0
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n0) != use ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_35,negated_conjecture,
( n4 = n0
| n5 = n0
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n0) != use ),
inference(spm,[status(thm)],[c_0_34,c_0_33]) ).
cnf(c_0_36,negated_conjecture,
( n3 = n0
| n5 = n0
| n4 = n0
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n0) != use ),
inference(spm,[status(thm)],[c_0_35,c_0_33]) ).
cnf(c_0_37,negated_conjecture,
( n2 = n0
| n4 = n0
| n5 = n0
| n3 = n0
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use
| a_select2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n0) != use ),
inference(spm,[status(thm)],[c_0_36,c_0_33]) ).
cnf(c_0_38,negated_conjecture,
( n1 = n0
| n3 = n0
| n5 = n0
| n4 = n0
| n2 = n0
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_33]),c_0_30])]) ).
cnf(c_0_39,negated_conjecture,
( n5 = n1
| n2 = n0
| n4 = n0
| n5 = n0
| n3 = n0
| n1 = n0
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n1) != use ),
inference(spm,[status(thm)],[c_0_38,c_0_33]) ).
cnf(c_0_40,negated_conjecture,
( n4 = n1
| n1 = n0
| n3 = n0
| n5 = n0
| n4 = n0
| n2 = n0
| n5 = n1
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n1) != use ),
inference(spm,[status(thm)],[c_0_39,c_0_33]) ).
cnf(c_0_41,negated_conjecture,
( n3 = n1
| n5 = n1
| n2 = n0
| n4 = n0
| n5 = n0
| n3 = n0
| n1 = n0
| n4 = n1
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n1) != use ),
inference(spm,[status(thm)],[c_0_40,c_0_33]) ).
cnf(c_0_42,negated_conjecture,
( n2 = n1
| n4 = n1
| n1 = n0
| n3 = n0
| n5 = n0
| n4 = n0
| n2 = n0
| n5 = n1
| n3 = n1
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_33]),c_0_30])]) ).
cnf(c_0_43,negated_conjecture,
( n5 = n2
| n3 = n1
| n5 = n1
| n2 = n0
| n4 = n0
| n5 = n0
| n3 = n0
| n1 = n0
| n4 = n1
| n2 = n1
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n2) != use ),
inference(spm,[status(thm)],[c_0_42,c_0_33]) ).
cnf(c_0_44,negated_conjecture,
( n4 = n2
| n2 = n1
| n4 = n1
| n1 = n0
| n3 = n0
| n5 = n0
| n4 = n0
| n2 = n0
| n5 = n1
| n3 = n1
| n5 = n2
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n2) != use ),
inference(spm,[status(thm)],[c_0_43,c_0_33]) ).
cnf(c_0_45,negated_conjecture,
( n3 = n2
| n5 = n2
| n3 = n1
| n5 = n1
| n2 = n0
| n4 = n0
| n5 = n0
| n3 = n0
| n1 = n0
| n4 = n1
| n2 = n1
| n4 = n2
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_33]),c_0_30])]) ).
cnf(c_0_46,negated_conjecture,
( n5 = n3
| n4 = n2
| n2 = n1
| n4 = n1
| n1 = n0
| n3 = n0
| n5 = n0
| n4 = n0
| n2 = n0
| n5 = n1
| n3 = n1
| n5 = n2
| n3 = n2
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n3) != use ),
inference(spm,[status(thm)],[c_0_45,c_0_33]) ).
fof(c_0_47,plain,
! [X1] : ~ gt(X1,X1),
inference(fof_simplification,[status(thm)],[irreflexivity_gt]) ).
cnf(c_0_48,negated_conjecture,
( n4 = n3
| n3 = n2
| n5 = n2
| n3 = n1
| n5 = n1
| n2 = n0
| n4 = n0
| n5 = n0
| n3 = n0
| n1 = n0
| n4 = n1
| n2 = n1
| n4 = n2
| n5 = n3
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_33]),c_0_30])]) ).
fof(c_0_49,plain,
! [X33] : ~ gt(X33,X33),
inference(variable_rename,[status(thm)],[c_0_47]) ).
cnf(c_0_50,plain,
gt(n5,n4),
inference(split_conjunct,[status(thm)],[gt_5_4]) ).
cnf(c_0_51,negated_conjecture,
( n5 = n4
| n5 = n3
| n4 = n2
| n2 = n1
| n4 = n1
| n1 = n0
| n3 = n0
| n5 = n0
| n4 = n0
| n2 = n0
| n5 = n1
| n3 = n1
| n5 = n2
| n3 = n2
| n4 = n3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_33]),c_0_30])]) ).
cnf(c_0_52,plain,
~ gt(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_53,plain,
gt(n5,n3),
inference(split_conjunct,[status(thm)],[gt_5_3]) ).
cnf(c_0_54,negated_conjecture,
( n4 = n3
| n3 = n2
| n5 = n2
| n3 = n1
| n5 = n1
| n2 = n0
| n4 = n0
| n5 = n0
| n3 = n0
| n1 = n0
| n4 = n1
| n2 = n1
| n4 = n2
| n5 = n3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52]) ).
cnf(c_0_55,plain,
gt(n5,n2),
inference(split_conjunct,[status(thm)],[gt_5_2]) ).
cnf(c_0_56,negated_conjecture,
( n4 = n2
| n2 = n1
| n4 = n1
| n1 = n0
| n3 = n0
| n5 = n0
| n4 = n0
| n2 = n0
| n5 = n1
| n3 = n1
| n5 = n2
| n3 = n2
| n4 = n3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_52]) ).
cnf(c_0_57,plain,
gt(n5,n1),
inference(split_conjunct,[status(thm)],[gt_5_1]) ).
cnf(c_0_58,negated_conjecture,
( n4 = n3
| n3 = n2
| n3 = n1
| n5 = n1
| n2 = n0
| n4 = n0
| n5 = n0
| n3 = n0
| n1 = n0
| n4 = n1
| n2 = n1
| n4 = n2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_52]) ).
cnf(c_0_59,plain,
gt(n5,n0),
inference(split_conjunct,[status(thm)],[gt_5_0]) ).
cnf(c_0_60,negated_conjecture,
( n4 = n2
| n2 = n1
| n4 = n1
| n1 = n0
| n3 = n0
| n5 = n0
| n4 = n0
| n2 = n0
| n3 = n1
| n3 = n2
| n4 = n3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_52]) ).
cnf(c_0_61,plain,
gt(n4,n3),
inference(split_conjunct,[status(thm)],[gt_4_3]) ).
cnf(c_0_62,negated_conjecture,
( n4 = n3
| n3 = n2
| n3 = n1
| n2 = n0
| n4 = n0
| n3 = n0
| n1 = n0
| n4 = n1
| n2 = n1
| n4 = n2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_52]) ).
cnf(c_0_63,plain,
gt(n4,n2),
inference(split_conjunct,[status(thm)],[gt_4_2]) ).
cnf(c_0_64,negated_conjecture,
( n4 = n2
| n2 = n1
| n4 = n1
| n1 = n0
| n3 = n0
| n4 = n0
| n2 = n0
| n3 = n1
| n3 = n2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_52]) ).
cnf(c_0_65,plain,
gt(n4,n1),
inference(split_conjunct,[status(thm)],[gt_4_1]) ).
cnf(c_0_66,negated_conjecture,
( n3 = n2
| n3 = n1
| n2 = n0
| n4 = n0
| n3 = n0
| n1 = n0
| n4 = n1
| n2 = n1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_52]) ).
cnf(c_0_67,plain,
gt(n4,n0),
inference(split_conjunct,[status(thm)],[gt_4_0]) ).
cnf(c_0_68,negated_conjecture,
( n2 = n1
| n1 = n0
| n3 = n0
| n4 = n0
| n2 = n0
| n3 = n1
| n3 = n2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_52]) ).
cnf(c_0_69,plain,
gt(n3,n2),
inference(split_conjunct,[status(thm)],[gt_3_2]) ).
cnf(c_0_70,negated_conjecture,
( n3 = n2
| n3 = n1
| n2 = n0
| n3 = n0
| n1 = n0
| n2 = n1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_52]) ).
cnf(c_0_71,plain,
gt(n3,n1),
inference(split_conjunct,[status(thm)],[gt_3_1]) ).
cnf(c_0_72,negated_conjecture,
( n2 = n1
| n1 = n0
| n3 = n0
| n2 = n0
| n3 = n1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_52]) ).
cnf(c_0_73,plain,
gt(n3,n0),
inference(split_conjunct,[status(thm)],[gt_3_0]) ).
cnf(c_0_74,negated_conjecture,
( n2 = n0
| n3 = n0
| n1 = n0
| n2 = n1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_52]) ).
cnf(c_0_75,plain,
gt(n2,n1),
inference(split_conjunct,[status(thm)],[gt_2_1]) ).
cnf(c_0_76,negated_conjecture,
( n2 = n1
| n1 = n0
| n2 = n0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_52]) ).
cnf(c_0_77,plain,
gt(n2,n0),
inference(split_conjunct,[status(thm)],[gt_2_0]) ).
cnf(c_0_78,negated_conjecture,
( n2 = n0
| n1 = n0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_52]) ).
cnf(c_0_79,plain,
gt(n1,n0),
inference(split_conjunct,[status(thm)],[gt_1_0]) ).
cnf(c_0_80,negated_conjecture,
n1 = n0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_52]) ).
cnf(c_0_81,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_80]),c_0_52]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SWV103+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.00/0.15 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.37 % Computer : n026.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Tue Aug 29 05:53:50 EDT 2023
% 0.14/0.37 % CPUTime :
% 0.21/0.59 start to proof: theBenchmark
% 0.21/0.70 % Version : CSE_E---1.5
% 0.21/0.70 % Problem : theBenchmark.p
% 0.21/0.70 % Proof found
% 0.21/0.70 % SZS status Theorem for theBenchmark.p
% 0.21/0.70 % SZS output start Proof
% See solution above
% 0.21/0.71 % Total time : 0.101000 s
% 0.21/0.71 % SZS output end Proof
% 0.21/0.71 % Total time : 0.104000 s
%------------------------------------------------------------------------------