TSTP Solution File: SEU416+2 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU416+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n013.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 : 600s
% DateTime : Tue Jul 19 09:19:53 EDT 2022
% Result : Theorem 0.44s 1.63s
% Output : CNFRefutation 0.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 20
% Syntax : Number of formulae : 100 ( 72 unt; 0 def)
% Number of atoms : 132 ( 107 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 61 ( 29 ~; 26 |; 2 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 185 ( 17 sgn 82 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t4_relset_2,axiom,
! [X1,X2] : k3_pua2mss1(k3_xboole_0(X1,X2)) = k3_xboole_0(k3_pua2mss1(X1),k3_pua2mss1(X2)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t4_relset_2) ).
fof(t48_xboole_1,axiom,
! [X1,X2] : k4_xboole_0(X1,k4_xboole_0(X1,X2)) = k3_xboole_0(X1,X2),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t48_xboole_1) ).
fof(t46_xboole_1,axiom,
! [X1,X2] : k4_xboole_0(X1,k2_xboole_0(X1,X2)) = k1_xboole_0,
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t46_xboole_1) ).
fof(t41_xboole_1,axiom,
! [X1,X2,X3] : k4_xboole_0(k4_xboole_0(X1,X2),X3) = k4_xboole_0(X1,k2_xboole_0(X2,X3)),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t41_xboole_1) ).
fof(t4_boole,axiom,
! [X1] : k4_xboole_0(k1_xboole_0,X1) = k1_xboole_0,
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+3.ax',t4_boole) ).
fof(t3_boole,axiom,
! [X1] : k4_xboole_0(X1,k1_xboole_0) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+3.ax',t3_boole) ).
fof(t2_relset_2,axiom,
! [X1] :
( X1 = k1_xboole_0
<=> k3_pua2mss1(X1) = k1_xboole_0 ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t2_relset_2) ).
fof(t3_relset_2,axiom,
! [X1,X2] : k3_pua2mss1(k2_xboole_0(X1,X2)) = k2_xboole_0(k3_pua2mss1(X1),k3_pua2mss1(X2)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t3_relset_2) ).
fof(t40_xboole_1,axiom,
! [X1,X2] : k4_xboole_0(k2_xboole_0(X1,X2),X2) = k4_xboole_0(X1,X2),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t40_xboole_1) ).
fof(t45_xboole_1,axiom,
! [X1,X2] :
( r1_tarski(X1,X2)
=> X2 = k2_xboole_0(X1,k4_xboole_0(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t45_xboole_1) ).
fof(t39_xboole_1,axiom,
! [X1,X2] : k2_xboole_0(X1,k4_xboole_0(X2,X1)) = k2_xboole_0(X1,X2),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t39_xboole_1) ).
fof(t44_xboole_1,axiom,
! [X1,X2,X3] :
( r1_tarski(k4_xboole_0(X1,X2),X3)
=> r1_tarski(X1,k2_xboole_0(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t44_xboole_1) ).
fof(reflexivity_r1_tarski,axiom,
! [X1,X2] : r1_tarski(X1,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+1.ax',reflexivity_r1_tarski) ).
fof(t2_xboole_1,axiom,
! [X1] : r1_tarski(k1_xboole_0,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t2_xboole_1) ).
fof(t52_xboole_1,axiom,
! [X1,X2,X3] : k4_xboole_0(X1,k4_xboole_0(X2,X3)) = k2_xboole_0(k4_xboole_0(X1,X2),k3_xboole_0(X1,X3)),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t52_xboole_1) ).
fof(t54_xboole_1,axiom,
! [X1,X2,X3] : k4_xboole_0(X1,k3_xboole_0(X2,X3)) = k2_xboole_0(k4_xboole_0(X1,X2),k4_xboole_0(X1,X3)),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t54_xboole_1) ).
fof(t37_xboole_1,axiom,
! [X1,X2] :
( k4_xboole_0(X1,X2) = k1_xboole_0
<=> r1_tarski(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t37_xboole_1) ).
fof(t36_xboole_1,axiom,
! [X1,X2] : r1_tarski(k4_xboole_0(X1,X2),X1),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t36_xboole_1) ).
fof(t47_xboole_1,axiom,
! [X1,X2] : k4_xboole_0(X1,k3_xboole_0(X1,X2)) = k4_xboole_0(X1,X2),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t47_xboole_1) ).
fof(t5_relset_2,conjecture,
! [X1,X2] : k3_pua2mss1(k4_xboole_0(X1,X2)) = k4_xboole_0(k3_pua2mss1(X1),k3_pua2mss1(X2)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t5_relset_2) ).
fof(c_0_20,plain,
! [X3,X4] : k3_pua2mss1(k3_xboole_0(X3,X4)) = k3_xboole_0(k3_pua2mss1(X3),k3_pua2mss1(X4)),
inference(variable_rename,[status(thm)],[t4_relset_2]) ).
fof(c_0_21,plain,
! [X3,X4] : k4_xboole_0(X3,k4_xboole_0(X3,X4)) = k3_xboole_0(X3,X4),
inference(variable_rename,[status(thm)],[t48_xboole_1]) ).
fof(c_0_22,plain,
! [X3,X4] : k4_xboole_0(X3,k2_xboole_0(X3,X4)) = k1_xboole_0,
inference(variable_rename,[status(thm)],[t46_xboole_1]) ).
fof(c_0_23,plain,
! [X4,X5,X6] : k4_xboole_0(k4_xboole_0(X4,X5),X6) = k4_xboole_0(X4,k2_xboole_0(X5,X6)),
inference(variable_rename,[status(thm)],[t41_xboole_1]) ).
cnf(c_0_24,plain,
k3_pua2mss1(k3_xboole_0(X1,X2)) = k3_xboole_0(k3_pua2mss1(X1),k3_pua2mss1(X2)),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_25,plain,
k4_xboole_0(X1,k4_xboole_0(X1,X2)) = k3_xboole_0(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_26,plain,
! [X2] : k4_xboole_0(k1_xboole_0,X2) = k1_xboole_0,
inference(variable_rename,[status(thm)],[t4_boole]) ).
fof(c_0_27,plain,
! [X2] : k4_xboole_0(X2,k1_xboole_0) = X2,
inference(variable_rename,[status(thm)],[t3_boole]) ).
cnf(c_0_28,plain,
k4_xboole_0(X1,k2_xboole_0(X1,X2)) = k1_xboole_0,
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_29,plain,
k4_xboole_0(k4_xboole_0(X1,X2),X3) = k4_xboole_0(X1,k2_xboole_0(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_30,plain,
k3_pua2mss1(k4_xboole_0(X1,k4_xboole_0(X1,X2))) = k4_xboole_0(k3_pua2mss1(X1),k4_xboole_0(k3_pua2mss1(X1),k3_pua2mss1(X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_25]),c_0_25]) ).
cnf(c_0_31,plain,
k4_xboole_0(k1_xboole_0,X1) = k1_xboole_0,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_32,plain,
! [X2,X2] :
( ( X2 != k1_xboole_0
| k3_pua2mss1(X2) = k1_xboole_0 )
& ( k3_pua2mss1(X2) != k1_xboole_0
| X2 = k1_xboole_0 ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_relset_2])])])]) ).
cnf(c_0_33,plain,
k4_xboole_0(X1,k1_xboole_0) = X1,
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_34,plain,
k4_xboole_0(k4_xboole_0(X1,X1),X2) = k1_xboole_0,
inference(rw,[status(thm)],[c_0_28,c_0_29]) ).
fof(c_0_35,plain,
! [X3,X4] : k3_pua2mss1(k2_xboole_0(X3,X4)) = k2_xboole_0(k3_pua2mss1(X3),k3_pua2mss1(X4)),
inference(variable_rename,[status(thm)],[t3_relset_2]) ).
cnf(c_0_36,plain,
k4_xboole_0(k3_pua2mss1(k1_xboole_0),k4_xboole_0(k3_pua2mss1(k1_xboole_0),k3_pua2mss1(X1))) = k3_pua2mss1(k1_xboole_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_31]) ).
cnf(c_0_37,plain,
( k3_pua2mss1(X1) = k1_xboole_0
| X1 != k1_xboole_0 ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_38,plain,
k4_xboole_0(X1,X1) = k1_xboole_0,
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_39,plain,
( X1 = k1_xboole_0
| k3_pua2mss1(X1) != k1_xboole_0 ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_40,plain,
k3_pua2mss1(k2_xboole_0(X1,X2)) = k2_xboole_0(k3_pua2mss1(X1),k3_pua2mss1(X2)),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_41,plain,
( k3_pua2mss1(k1_xboole_0) = k1_xboole_0
| X1 != k1_xboole_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_33]),c_0_38]) ).
fof(c_0_42,plain,
! [X3,X4] : k4_xboole_0(k2_xboole_0(X3,X4),X4) = k4_xboole_0(X3,X4),
inference(variable_rename,[status(thm)],[t40_xboole_1]) ).
cnf(c_0_43,plain,
( k2_xboole_0(X1,X2) = k1_xboole_0
| k2_xboole_0(k3_pua2mss1(X1),k3_pua2mss1(X2)) != k1_xboole_0 ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_44,plain,
k3_pua2mss1(k1_xboole_0) = k1_xboole_0,
inference(er,[status(thm)],[c_0_41]) ).
cnf(c_0_45,plain,
k4_xboole_0(k2_xboole_0(X1,X2),X2) = k4_xboole_0(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_46,plain,
( k2_xboole_0(k1_xboole_0,X1) = k1_xboole_0
| k2_xboole_0(k1_xboole_0,k3_pua2mss1(X1)) != k1_xboole_0 ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_47,plain,
k2_xboole_0(X1,k1_xboole_0) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_45]),c_0_33]) ).
fof(c_0_48,plain,
! [X3,X4] :
( ~ r1_tarski(X3,X4)
| X4 = k2_xboole_0(X3,k4_xboole_0(X4,X3)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t45_xboole_1])]) ).
fof(c_0_49,plain,
! [X3,X4] : k2_xboole_0(X3,k4_xboole_0(X4,X3)) = k2_xboole_0(X3,X4),
inference(variable_rename,[status(thm)],[t39_xboole_1]) ).
fof(c_0_50,plain,
! [X4,X5,X6] :
( ~ r1_tarski(k4_xboole_0(X4,X5),X6)
| r1_tarski(X4,k2_xboole_0(X5,X6)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t44_xboole_1])]) ).
fof(c_0_51,plain,
! [X3] : r1_tarski(X3,X3),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[reflexivity_r1_tarski])]) ).
cnf(c_0_52,plain,
( k2_xboole_0(k1_xboole_0,X1) = k1_xboole_0
| X1 != k1_xboole_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_37]),c_0_47])]) ).
cnf(c_0_53,plain,
( X1 = k2_xboole_0(X2,k4_xboole_0(X1,X2))
| ~ r1_tarski(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_54,plain,
k2_xboole_0(X1,k4_xboole_0(X2,X1)) = k2_xboole_0(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_55,plain,
( r1_tarski(X1,k2_xboole_0(X2,X3))
| ~ r1_tarski(k4_xboole_0(X1,X2),X3) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_56,plain,
r1_tarski(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_57,plain,
( k2_xboole_0(k1_xboole_0,k3_pua2mss1(X1)) = k1_xboole_0
| X1 != k1_xboole_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_52]),c_0_44]),c_0_44]) ).
fof(c_0_58,plain,
! [X2] : r1_tarski(k1_xboole_0,X2),
inference(variable_rename,[status(thm)],[t2_xboole_1]) ).
cnf(c_0_59,plain,
( k2_xboole_0(X1,X2) = X2
| ~ r1_tarski(X1,X2) ),
inference(rw,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_60,plain,
k2_xboole_0(X1,k2_xboole_0(X2,X1)) = k2_xboole_0(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_45]),c_0_54]) ).
cnf(c_0_61,plain,
r1_tarski(X1,k2_xboole_0(X2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_54]) ).
fof(c_0_62,plain,
! [X4,X5,X6] : k4_xboole_0(X4,k4_xboole_0(X5,X6)) = k2_xboole_0(k4_xboole_0(X4,X5),k3_xboole_0(X4,X6)),
inference(variable_rename,[status(thm)],[t52_xboole_1]) ).
fof(c_0_63,plain,
! [X4,X5,X6] : k4_xboole_0(X4,k3_xboole_0(X5,X6)) = k2_xboole_0(k4_xboole_0(X4,X5),k4_xboole_0(X4,X6)),
inference(variable_rename,[status(thm)],[t54_xboole_1]) ).
cnf(c_0_64,plain,
( k2_xboole_0(k1_xboole_0,k3_pua2mss1(k3_pua2mss1(X1))) = k1_xboole_0
| X1 != k1_xboole_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_57]),c_0_44]),c_0_44]) ).
cnf(c_0_65,plain,
r1_tarski(k1_xboole_0,X1),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_66,plain,
k2_xboole_0(X1,X2) = k2_xboole_0(X2,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61])]) ).
fof(c_0_67,plain,
! [X3,X4,X3,X4] :
( ( k4_xboole_0(X3,X4) != k1_xboole_0
| r1_tarski(X3,X4) )
& ( ~ r1_tarski(X3,X4)
| k4_xboole_0(X3,X4) = k1_xboole_0 ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t37_xboole_1])])])]) ).
fof(c_0_68,plain,
! [X3,X4] : r1_tarski(k4_xboole_0(X3,X4),X3),
inference(variable_rename,[status(thm)],[t36_xboole_1]) ).
cnf(c_0_69,plain,
k4_xboole_0(X1,k4_xboole_0(X2,X3)) = k2_xboole_0(k4_xboole_0(X1,X2),k3_xboole_0(X1,X3)),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_70,plain,
k4_xboole_0(X1,k3_xboole_0(X2,X3)) = k2_xboole_0(k4_xboole_0(X1,X2),k4_xboole_0(X1,X3)),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_71,plain,
k2_xboole_0(k3_pua2mss1(X1),k3_pua2mss1(k4_xboole_0(X2,X1))) = k2_xboole_0(k3_pua2mss1(X1),k3_pua2mss1(X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_54]),c_0_40]) ).
cnf(c_0_72,plain,
( k3_pua2mss1(k3_pua2mss1(X1)) = k1_xboole_0
| X1 != k1_xboole_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_64]),c_0_65])]) ).
cnf(c_0_73,plain,
k2_xboole_0(k1_xboole_0,X1) = X1,
inference(spm,[status(thm)],[c_0_47,c_0_66]) ).
cnf(c_0_74,plain,
( k4_xboole_0(X1,X2) = k1_xboole_0
| ~ r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_75,plain,
r1_tarski(k4_xboole_0(X1,X2),X1),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_76,plain,
k4_xboole_0(X1,k4_xboole_0(X2,X3)) = k2_xboole_0(k4_xboole_0(X1,X2),k4_xboole_0(X1,k4_xboole_0(X1,X3))),
inference(rw,[status(thm)],[c_0_69,c_0_25]) ).
cnf(c_0_77,plain,
k4_xboole_0(X1,k4_xboole_0(X2,k4_xboole_0(X2,X3))) = k2_xboole_0(k4_xboole_0(X1,X2),k4_xboole_0(X1,X3)),
inference(rw,[status(thm)],[c_0_70,c_0_25]) ).
fof(c_0_78,plain,
! [X3,X4] : k4_xboole_0(X3,k3_xboole_0(X3,X4)) = k4_xboole_0(X3,X4),
inference(variable_rename,[status(thm)],[t47_xboole_1]) ).
cnf(c_0_79,plain,
( k3_pua2mss1(k4_xboole_0(X1,k3_pua2mss1(X2))) = k3_pua2mss1(X1)
| X2 != k1_xboole_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_73]),c_0_73]) ).
cnf(c_0_80,plain,
k4_xboole_0(k4_xboole_0(X1,X2),X1) = k1_xboole_0,
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_81,plain,
k4_xboole_0(X1,k4_xboole_0(X2,k4_xboole_0(X2,k4_xboole_0(X1,X3)))) = k4_xboole_0(X1,k4_xboole_0(X2,X3)),
inference(rw,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_82,plain,
k4_xboole_0(X1,k3_xboole_0(X1,X2)) = k4_xboole_0(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_83,plain,
( k3_pua2mss1(k4_xboole_0(k3_pua2mss1(X1),X2)) = k1_xboole_0
| X1 != k1_xboole_0 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_44]) ).
cnf(c_0_84,plain,
k4_xboole_0(X1,k4_xboole_0(X2,X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_38]),c_0_33]),c_0_38]),c_0_33]) ).
cnf(c_0_85,plain,
k4_xboole_0(X1,k4_xboole_0(X1,k4_xboole_0(X1,X2))) = k4_xboole_0(X1,X2),
inference(rw,[status(thm)],[c_0_82,c_0_25]) ).
cnf(c_0_86,plain,
( k4_xboole_0(k3_pua2mss1(X1),X2) = k1_xboole_0
| X1 != k1_xboole_0 ),
inference(spm,[status(thm)],[c_0_39,c_0_83]) ).
cnf(c_0_87,plain,
k4_xboole_0(k2_xboole_0(X1,X2),k4_xboole_0(X2,X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_54]),c_0_84]) ).
cnf(c_0_88,plain,
( k4_xboole_0(k3_pua2mss1(X1),X2) = k3_pua2mss1(X1)
| X1 != k1_xboole_0 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_33]) ).
cnf(c_0_89,plain,
k4_xboole_0(k2_xboole_0(X1,X2),X1) = k4_xboole_0(X2,X1),
inference(spm,[status(thm)],[c_0_45,c_0_66]) ).
cnf(c_0_90,plain,
( k4_xboole_0(X1,k3_pua2mss1(X2)) = X1
| X2 != k1_xboole_0 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_45]) ).
cnf(c_0_91,plain,
k4_xboole_0(k3_pua2mss1(k4_xboole_0(X1,X2)),k3_pua2mss1(X2)) = k4_xboole_0(k3_pua2mss1(X1),k3_pua2mss1(X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_71]),c_0_89]) ).
fof(c_0_92,negated_conjecture,
~ ! [X1,X2] : k3_pua2mss1(k4_xboole_0(X1,X2)) = k4_xboole_0(k3_pua2mss1(X1),k3_pua2mss1(X2)),
inference(assume_negation,[status(cth)],[t5_relset_2]) ).
cnf(c_0_93,plain,
( k3_pua2mss1(k4_xboole_0(X1,X2)) = k4_xboole_0(k3_pua2mss1(X1),k3_pua2mss1(X2))
| X2 != k1_xboole_0 ),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
fof(c_0_94,negated_conjecture,
k3_pua2mss1(k4_xboole_0(esk1_0,esk2_0)) != k4_xboole_0(k3_pua2mss1(esk1_0),k3_pua2mss1(esk2_0)),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_92])])]) ).
cnf(c_0_95,plain,
( k3_pua2mss1(k4_xboole_0(X1,X2)) = k4_xboole_0(k3_pua2mss1(X1),k3_pua2mss1(X2))
| k4_xboole_0(X1,k4_xboole_0(X1,X2)) != k1_xboole_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_85]),c_0_30]),c_0_85]) ).
cnf(c_0_96,plain,
k4_xboole_0(k4_xboole_0(X1,X2),X2) = k4_xboole_0(X1,X2),
inference(spm,[status(thm)],[c_0_84,c_0_84]) ).
cnf(c_0_97,negated_conjecture,
k3_pua2mss1(k4_xboole_0(esk1_0,esk2_0)) != k4_xboole_0(k3_pua2mss1(esk1_0),k3_pua2mss1(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_98,plain,
k3_pua2mss1(k4_xboole_0(X1,X2)) = k4_xboole_0(k3_pua2mss1(X1),k3_pua2mss1(X2)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_91]),c_0_38])]) ).
cnf(c_0_99,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_98])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU416+2 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n013.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 20 07:24:59 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.44/1.63 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.44/1.63 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.44/1.63 # Preprocessing time : 0.157 s
% 0.44/1.63
% 0.44/1.63 # Proof found!
% 0.44/1.63 # SZS status Theorem
% 0.44/1.63 # SZS output start CNFRefutation
% See solution above
% 0.44/1.63 # Proof object total steps : 100
% 0.44/1.63 # Proof object clause steps : 59
% 0.44/1.63 # Proof object formula steps : 41
% 0.44/1.63 # Proof object conjectures : 5
% 0.44/1.63 # Proof object clause conjectures : 2
% 0.44/1.63 # Proof object formula conjectures : 3
% 0.44/1.63 # Proof object initial clauses used : 21
% 0.44/1.63 # Proof object initial formulas used : 20
% 0.44/1.63 # Proof object generating inferences : 30
% 0.44/1.63 # Proof object simplifying inferences : 42
% 0.44/1.63 # Training examples: 0 positive, 0 negative
% 0.44/1.63 # Parsed axioms : 4473
% 0.44/1.63 # Removed by relevancy pruning/SinE : 4372
% 0.44/1.63 # Initial clauses : 152
% 0.44/1.63 # Removed in clause preprocessing : 5
% 0.44/1.63 # Initial clauses in saturation : 147
% 0.44/1.63 # Processed clauses : 1304
% 0.44/1.63 # ...of these trivial : 60
% 0.44/1.63 # ...subsumed : 824
% 0.44/1.63 # ...remaining for further processing : 420
% 0.44/1.63 # Other redundant clauses eliminated : 28
% 0.44/1.63 # Clauses deleted for lack of memory : 0
% 0.44/1.63 # Backward-subsumed : 10
% 0.44/1.63 # Backward-rewritten : 57
% 0.44/1.63 # Generated clauses : 18390
% 0.44/1.63 # ...of the previous two non-trivial : 14454
% 0.44/1.63 # Contextual simplify-reflections : 100
% 0.44/1.63 # Paramodulations : 18348
% 0.44/1.63 # Factorizations : 7
% 0.44/1.63 # Equation resolutions : 35
% 0.44/1.63 # Current number of processed clauses : 349
% 0.44/1.63 # Positive orientable unit clauses : 83
% 0.44/1.63 # Positive unorientable unit clauses: 14
% 0.44/1.63 # Negative unit clauses : 30
% 0.44/1.63 # Non-unit-clauses : 222
% 0.44/1.63 # Current number of unprocessed clauses: 10131
% 0.44/1.63 # ...number of literals in the above : 17912
% 0.44/1.63 # Current number of archived formulas : 0
% 0.44/1.63 # Current number of archived clauses : 68
% 0.44/1.63 # Clause-clause subsumption calls (NU) : 7458
% 0.44/1.63 # Rec. Clause-clause subsumption calls : 6769
% 0.44/1.63 # Non-unit clause-clause subsumptions : 496
% 0.44/1.63 # Unit Clause-clause subsumption calls : 773
% 0.44/1.63 # Rewrite failures with RHS unbound : 0
% 0.44/1.63 # BW rewrite match attempts : 414
% 0.44/1.63 # BW rewrite match successes : 139
% 0.44/1.63 # Condensation attempts : 0
% 0.44/1.63 # Condensation successes : 0
% 0.44/1.63 # Termbank termtop insertions : 298309
% 0.44/1.63
% 0.44/1.63 # -------------------------------------------------
% 0.44/1.63 # User time : 0.367 s
% 0.44/1.63 # System time : 0.016 s
% 0.44/1.63 # Total time : 0.383 s
% 0.44/1.63 # Maximum resident set size: 19356 pages
% 0.44/23.63 eprover: CPU time limit exceeded, terminating
% 0.44/23.63 eprover: CPU time limit exceeded, terminating
% 0.44/23.64 eprover: CPU time limit exceeded, terminating
% 0.44/23.65 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.65 eprover: No such file or directory
% 0.44/23.65 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.65 eprover: No such file or directory
% 0.44/23.65 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.44/23.65 eprover: No such file or directory
% 0.44/23.65 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.44/23.65 eprover: No such file or directory
% 0.44/23.66 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.66 eprover: No such file or directory
% 0.44/23.66 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.44/23.66 eprover: No such file or directory
% 0.44/23.66 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.44/23.66 eprover: No such file or directory
% 0.44/23.66 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.66 eprover: No such file or directory
% 0.44/23.66 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.44/23.66 eprover: No such file or directory
% 0.44/23.66 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.44/23.66 eprover: No such file or directory
% 0.44/23.66 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.66 eprover: No such file or directory
% 0.44/23.67 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.44/23.67 eprover: No such file or directory
% 0.44/23.67 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.44/23.67 eprover: No such file or directory
% 0.44/23.67 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.67 eprover: No such file or directory
% 0.44/23.67 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.44/23.67 eprover: No such file or directory
% 0.44/23.67 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.44/23.67 eprover: No such file or directory
% 0.44/23.67 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.67 eprover: No such file or directory
% 0.44/23.67 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.44/23.67 eprover: No such file or directory
% 0.44/23.67 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.44/23.67 eprover: No such file or directory
% 0.44/23.68 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.44/23.68 eprover: No such file or directory
% 0.44/23.68 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.68 eprover: No such file or directory
% 0.44/23.68 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.44/23.68 eprover: No such file or directory
% 0.44/23.68 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.44/23.68 eprover: No such file or directory
% 0.44/23.68 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.44/23.68 eprover: No such file or directory
% 0.44/23.68 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.68 eprover: No such file or directory
% 0.44/23.69 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.44/23.69 eprover: No such file or directory
% 0.44/23.69 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.44/23.69 eprover: No such file or directory
% 0.44/23.69 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.44/23.69 eprover: No such file or directory
% 0.44/23.69 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.69 eprover: No such file or directory
% 0.44/23.69 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.44/23.69 eprover: No such file or directory
% 0.44/23.69 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.44/23.69 eprover: No such file or directory
% 0.44/23.70 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.70 eprover: No such file or directory
% 0.44/23.70 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.44/23.70 eprover: No such file or directory
%------------------------------------------------------------------------------