TSTP Solution File: SWV103+1 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SWV103+1 : TPTP v8.2.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n003.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 : Tue May 21 05:21:06 EDT 2024
% Result : Theorem 1.07s 0.70s
% Output : CNFRefutation 1.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 19
% Syntax : Number of formulae : 83 ( 45 unt; 0 def)
% Number of atoms : 404 ( 369 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 409 ( 88 ~; 277 |; 40 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 10 con; 0-3 aty)
% Number of variables : 37 ( 3 sgn 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_inuse_0015) ).
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(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(irreflexivity_gt,axiom,
! [X1] : ~ gt(X1,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',irreflexivity_gt) ).
fof(gt_5_4,axiom,
gt(n5,n4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_4) ).
fof(gt_5_3,axiom,
gt(n5,n3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_3) ).
fof(gt_5_2,axiom,
gt(n5,n2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_2) ).
fof(gt_5_1,axiom,
gt(n5,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_1) ).
fof(gt_5_0,axiom,
gt(n5,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_0) ).
fof(gt_4_3,axiom,
gt(n4,n3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_3) ).
fof(gt_4_2,axiom,
gt(n4,n2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_2) ).
fof(gt_4_1,axiom,
gt(n4,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_1) ).
fof(gt_4_0,axiom,
gt(n4,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_0) ).
fof(gt_3_2,axiom,
gt(n3,n2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_3_2) ).
fof(gt_3_1,axiom,
gt(n3,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_3_1) ).
fof(gt_3_0,axiom,
gt(n3,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_3_0) ).
fof(gt_2_1,axiom,
gt(n2,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_2_1) ).
fof(gt_2_0,axiom,
gt(n2,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_2_0) ).
fof(gt_1_0,axiom,
gt(n1,n0),
file('/export/starexec/sandbox2/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,plain,
! [X5,X7,X1,X17,X25] :
( ( X5 != X7
& a_select2(X1,X7) = X17 )
=> a_select2(tptp_update2(X1,X5,X25),X7) = X17 ),
inference(fof_simplification,[status(thm)],[sel2_update_2]) ).
fof(c_0_21,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)],[inference(fof_nnf,[status(thm)],[c_0_19])]) ).
fof(c_0_22,plain,
! [X173,X174,X175] : a_select2(tptp_update2(X173,X174,X175),X174) = X175,
inference(variable_rename,[status(thm)],[sel2_update_1]) ).
fof(c_0_23,plain,
! [X176,X177,X178,X179,X180] :
( X176 = X177
| a_select2(X178,X177) != X179
| a_select2(tptp_update2(X178,X176,X180),X177) = X179 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])]) ).
cnf(c_0_24,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_21]) ).
cnf(c_0_25,negated_conjecture,
a_select2(xinit_defuse,n3) = use,
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_26,negated_conjecture,
a_select2(xinit_defuse,n4) = use,
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_27,negated_conjecture,
a_select2(xinit_defuse,n5) = use,
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_28,negated_conjecture,
a_select3(u_defuse,n0,n0) = use,
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_29,negated_conjecture,
a_select3(u_defuse,n1,n0) = use,
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_30,negated_conjecture,
a_select3(u_defuse,n2,n0) = use,
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_31,plain,
a_select2(tptp_update2(X1,X2,X3),X2) = X3,
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_32,plain,
( X1 = X2
| a_select2(tptp_update2(X3,X1,X5),X2) = X4
| a_select2(X3,X2) != X4 ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_33,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_24,c_0_25]),c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31])]) ).
cnf(c_0_34,plain,
( a_select2(tptp_update2(X1,X2,X3),X4) = a_select2(X1,X4)
| X2 = X4 ),
inference(er,[status(thm)],[c_0_32]) ).
cnf(c_0_35,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_33,c_0_34]) ).
cnf(c_0_36,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_35,c_0_34]) ).
cnf(c_0_37,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_36,c_0_34]) ).
cnf(c_0_38,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_37,c_0_34]) ).
cnf(c_0_39,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_38,c_0_34]),c_0_31])]) ).
cnf(c_0_40,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_39,c_0_34]) ).
cnf(c_0_41,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_40,c_0_34]) ).
cnf(c_0_42,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_41,c_0_34]) ).
cnf(c_0_43,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_42,c_0_34]),c_0_31])]) ).
cnf(c_0_44,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_43,c_0_34]) ).
cnf(c_0_45,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_44,c_0_34]) ).
cnf(c_0_46,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_45,c_0_34]),c_0_31])]) ).
cnf(c_0_47,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_46,c_0_34]) ).
fof(c_0_48,plain,
! [X1] : ~ gt(X1,X1),
inference(fof_simplification,[status(thm)],[irreflexivity_gt]) ).
cnf(c_0_49,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_47,c_0_34]),c_0_31])]) ).
fof(c_0_50,plain,
! [X33] : ~ gt(X33,X33),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_48])]) ).
cnf(c_0_51,plain,
gt(n5,n4),
inference(split_conjunct,[status(thm)],[gt_5_4]) ).
cnf(c_0_52,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_49,c_0_34]),c_0_31])]) ).
cnf(c_0_53,plain,
~ gt(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_54,plain,
gt(n5,n3),
inference(split_conjunct,[status(thm)],[gt_5_3]) ).
cnf(c_0_55,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_51,c_0_52]),c_0_53]) ).
cnf(c_0_56,plain,
gt(n5,n2),
inference(split_conjunct,[status(thm)],[gt_5_2]) ).
cnf(c_0_57,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_54,c_0_55]),c_0_53]) ).
cnf(c_0_58,plain,
gt(n5,n1),
inference(split_conjunct,[status(thm)],[gt_5_1]) ).
cnf(c_0_59,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_56,c_0_57]),c_0_53]) ).
cnf(c_0_60,plain,
gt(n5,n0),
inference(split_conjunct,[status(thm)],[gt_5_0]) ).
cnf(c_0_61,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_58,c_0_59]),c_0_53]) ).
cnf(c_0_62,plain,
gt(n4,n3),
inference(split_conjunct,[status(thm)],[gt_4_3]) ).
cnf(c_0_63,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_60,c_0_61]),c_0_53]) ).
cnf(c_0_64,plain,
gt(n4,n2),
inference(split_conjunct,[status(thm)],[gt_4_2]) ).
cnf(c_0_65,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_62,c_0_63]),c_0_53]) ).
cnf(c_0_66,plain,
gt(n4,n1),
inference(split_conjunct,[status(thm)],[gt_4_1]) ).
cnf(c_0_67,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_64,c_0_65]),c_0_53]) ).
cnf(c_0_68,plain,
gt(n4,n0),
inference(split_conjunct,[status(thm)],[gt_4_0]) ).
cnf(c_0_69,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_66,c_0_67]),c_0_53]) ).
cnf(c_0_70,plain,
gt(n3,n2),
inference(split_conjunct,[status(thm)],[gt_3_2]) ).
cnf(c_0_71,negated_conjecture,
( n3 = n2
| n3 = n1
| n2 = n0
| n3 = n0
| n1 = n0
| n2 = n1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_53]) ).
cnf(c_0_72,plain,
gt(n3,n1),
inference(split_conjunct,[status(thm)],[gt_3_1]) ).
cnf(c_0_73,negated_conjecture,
( n2 = n1
| n1 = n0
| n3 = n0
| n2 = n0
| n3 = n1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_53]) ).
cnf(c_0_74,plain,
gt(n3,n0),
inference(split_conjunct,[status(thm)],[gt_3_0]) ).
cnf(c_0_75,negated_conjecture,
( n2 = n0
| n3 = n0
| n1 = n0
| n2 = n1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_53]) ).
cnf(c_0_76,plain,
gt(n2,n1),
inference(split_conjunct,[status(thm)],[gt_2_1]) ).
cnf(c_0_77,negated_conjecture,
( n2 = n1
| n1 = n0
| n2 = n0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_53]) ).
cnf(c_0_78,plain,
gt(n2,n0),
inference(split_conjunct,[status(thm)],[gt_2_0]) ).
cnf(c_0_79,negated_conjecture,
( n2 = n0
| n1 = n0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_53]) ).
cnf(c_0_80,plain,
gt(n1,n0),
inference(split_conjunct,[status(thm)],[gt_1_0]) ).
cnf(c_0_81,negated_conjecture,
n1 = n0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_53]) ).
cnf(c_0_82,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_81]),c_0_53]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV103+1 : TPTP v8.2.0. Bugfixed v3.3.0.
% 0.07/0.13 % Command : run_E %s %d THM
% 0.14/0.34 % Computer : n003.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun May 19 07:23:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.20/0.50 Running first-order theorem proving
% 0.20/0.50 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
% 1.07/0.70 # Version: 3.1.0
% 1.07/0.70 # Preprocessing class: FSLSSMSMSSSNFFN.
% 1.07/0.70 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.07/0.70 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.07/0.70 # Starting new_bool_3 with 300s (1) cores
% 1.07/0.70 # Starting new_bool_1 with 300s (1) cores
% 1.07/0.70 # Starting sh5l with 300s (1) cores
% 1.07/0.70 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 7108 completed with status 0
% 1.07/0.70 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 1.07/0.70 # Preprocessing class: FSLSSMSMSSSNFFN.
% 1.07/0.70 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.07/0.70 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.07/0.70 # No SInE strategy applied
% 1.07/0.70 # Search class: FGHSM-FSLM33-DFFFFFNN
% 1.07/0.70 # Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 1.07/0.70 # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S0S with 271s (1) cores
% 1.07/0.70 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 1.07/0.70 # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 1.07/0.70 # Starting G-E--_208_C09_12_F1_SE_CS_SP_PS_S070I with 136s (1) cores
% 1.07/0.70 # Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 136s (1) cores
% 1.07/0.70 # G-E--_207_C18_F1_AE_CS_SP_PI_PS_S0S with pid 7116 completed with status 0
% 1.07/0.70 # Result found by G-E--_207_C18_F1_AE_CS_SP_PI_PS_S0S
% 1.07/0.70 # Preprocessing class: FSLSSMSMSSSNFFN.
% 1.07/0.70 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.07/0.70 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.07/0.70 # No SInE strategy applied
% 1.07/0.70 # Search class: FGHSM-FSLM33-DFFFFFNN
% 1.07/0.70 # Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 1.07/0.70 # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S0S with 271s (1) cores
% 1.07/0.70 # Preprocessing time : 0.007 s
% 1.07/0.70 # Presaturation interreduction done
% 1.07/0.70
% 1.07/0.70 # Proof found!
% 1.07/0.70 # SZS status Theorem
% 1.07/0.70 # SZS output start CNFRefutation
% See solution above
% 1.07/0.70 # Parsed axioms : 85
% 1.07/0.70 # Removed by relevancy pruning/SinE : 0
% 1.07/0.70 # Initial clauses : 199
% 1.07/0.70 # Removed in clause preprocessing : 2
% 1.07/0.70 # Initial clauses in saturation : 197
% 1.07/0.70 # Processed clauses : 931
% 1.07/0.70 # ...of these trivial : 105
% 1.07/0.70 # ...subsumed : 92
% 1.07/0.70 # ...remaining for further processing : 734
% 1.07/0.70 # Other redundant clauses eliminated : 4
% 1.07/0.70 # Clauses deleted for lack of memory : 0
% 1.07/0.70 # Backward-subsumed : 32
% 1.07/0.70 # Backward-rewritten : 123
% 1.07/0.70 # Generated clauses : 5505
% 1.07/0.70 # ...of the previous two non-redundant : 4316
% 1.07/0.70 # ...aggressively subsumed : 0
% 1.07/0.70 # Contextual simplify-reflections : 0
% 1.07/0.70 # Paramodulations : 5473
% 1.07/0.70 # Factorizations : 23
% 1.07/0.70 # NegExts : 0
% 1.07/0.70 # Equation resolutions : 9
% 1.07/0.70 # Disequality decompositions : 0
% 1.07/0.70 # Total rewrite steps : 2981
% 1.07/0.70 # ...of those cached : 2704
% 1.07/0.70 # Propositional unsat checks : 0
% 1.07/0.70 # Propositional check models : 0
% 1.07/0.70 # Propositional check unsatisfiable : 0
% 1.07/0.70 # Propositional clauses : 0
% 1.07/0.70 # Propositional clauses after purity: 0
% 1.07/0.70 # Propositional unsat core size : 0
% 1.07/0.70 # Propositional preprocessing time : 0.000
% 1.07/0.70 # Propositional encoding time : 0.000
% 1.07/0.70 # Propositional solver time : 0.000
% 1.07/0.70 # Success case prop preproc time : 0.000
% 1.07/0.70 # Success case prop encoding time : 0.000
% 1.07/0.70 # Success case prop solver time : 0.000
% 1.07/0.70 # Current number of processed clauses : 381
% 1.07/0.70 # Positive orientable unit clauses : 149
% 1.07/0.70 # Positive unorientable unit clauses: 4
% 1.07/0.70 # Negative unit clauses : 2
% 1.07/0.70 # Non-unit-clauses : 226
% 1.07/0.70 # Current number of unprocessed clauses: 3690
% 1.07/0.70 # ...number of literals in the above : 20609
% 1.07/0.70 # Current number of archived formulas : 0
% 1.07/0.70 # Current number of archived clauses : 354
% 1.07/0.70 # Clause-clause subsumption calls (NU) : 37927
% 1.07/0.70 # Rec. Clause-clause subsumption calls : 7342
% 1.07/0.70 # Non-unit clause-clause subsumptions : 123
% 1.07/0.70 # Unit Clause-clause subsumption calls : 9287
% 1.07/0.70 # Rewrite failures with RHS unbound : 0
% 1.07/0.70 # BW rewrite match attempts : 39
% 1.07/0.70 # BW rewrite match successes : 31
% 1.07/0.70 # Condensation attempts : 0
% 1.07/0.70 # Condensation successes : 0
% 1.07/0.70 # Termbank termtop insertions : 104952
% 1.07/0.70 # Search garbage collected termcells : 2215
% 1.07/0.70
% 1.07/0.70 # -------------------------------------------------
% 1.07/0.70 # User time : 0.171 s
% 1.07/0.70 # System time : 0.009 s
% 1.07/0.70 # Total time : 0.180 s
% 1.07/0.70 # Maximum resident set size: 2364 pages
% 1.07/0.70
% 1.07/0.70 # -------------------------------------------------
% 1.07/0.70 # User time : 0.693 s
% 1.07/0.70 # System time : 0.043 s
% 1.07/0.70 # Total time : 0.737 s
% 1.07/0.70 # Maximum resident set size: 1812 pages
% 1.07/0.70 % E---3.1 exiting
% 1.07/0.70 % E exiting
%------------------------------------------------------------------------------