%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : COM130+1 : TPTP v6.4.0. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n006.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 16091.75MB
% OS : Linux 3.10.0-327.10.1.el7.x86_64
% CPULimit : 300s
% DateTime : Mon Mar 28 10:03:41 EDT 2016
% Result : Theorem 0.06s
% Output : CNFRefutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 37 ( 11 unt; 0 def)
% Number of atoms : 132 ( 28 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 163 ( 68 ~; 58 |; 27 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-3 aty)
% Number of variables : 165 ( 15 sgn 87 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(8,axiom,
! [X16,X5,X1,X7,X8,X15] :
( ( equal(X5,X8)
& equal(X1,vabs(X7,X16,X15)) )
=> ( ( ( ~ equal(X7,X8)
& visFreeVar(X8,X15) )
=> visFreeVar(X5,X1) )
& ( visFreeVar(X5,X1)
=> ( ~ equal(X7,X8)
& visFreeVar(X8,X15) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmpOv2GPa/sel_theBenchmark.p_1',isFreeVar1) ).
fof(16,axiom,
! [X15,X7,X5,X1,X2,X19,X11,X16,X9] :
( ( equal(X5,X7)
& equal(X1,X15)
& equal(X2,vabs(X11,X16,X9)) )
=> ( equal(X7,X11)
=> ( equal(X19,vsubst(X5,X1,X2))
=> equal(X19,vabs(X11,X16,X9)) ) ) ),
file('/export/starexec/sandbox/tmp/tmpOv2GPa/sel_theBenchmark.p_1',subst3) ).
fof(23,axiom,
! [X7,X22,X14,X15,X16] :
( ( ~ visFreeVar(X7,X15)
& vtcheck(vbind(X7,X22,X14),X15,X16) )
=> vtcheck(X14,X15,X16) ),
file('/export/starexec/sandbox/tmp/tmpOv2GPa/sel_theBenchmark.p_1','T-Strong') ).
fof(25,conjecture,
! [X16,X14,X7,X15,X11,X22,X9,X23] :
( ( equal(X7,X11)
& vtcheck(X14,X15,X16)
& vtcheck(vbind(X7,X16,X14),vabs(X11,X22,X9),X23) )
=> vtcheck(X14,vsubst(X7,X15,vabs(X11,X22,X9)),X23) ),
file('/export/starexec/sandbox/tmp/tmpOv2GPa/sel_theBenchmark.p_1','T-subst-abs-1') ).
fof(28,negated_conjecture,
~ ! [X16,X14,X7,X15,X11,X22,X9,X23] :
( ( equal(X7,X11)
& vtcheck(X14,X15,X16)
& vtcheck(vbind(X7,X16,X14),vabs(X11,X22,X9),X23) )
=> vtcheck(X14,vsubst(X7,X15,vabs(X11,X22,X9)),X23) ),
inference(assume_negation,[status(cth)],[25]) ).
fof(30,plain,
! [X7,X22,X14,X15,X16] :
( ( ~ visFreeVar(X7,X15)
& vtcheck(vbind(X7,X22,X14),X15,X16) )
=> vtcheck(X14,X15,X16) ),
inference(fof_simplification,[status(thm)],[23,theory(equality)]) ).
fof(60,plain,
! [X16,X5,X1,X7,X8,X15] :
( ~ equal(X5,X8)
| ~ equal(X1,vabs(X7,X16,X15))
| ( ( equal(X7,X8)
| ~ visFreeVar(X8,X15)
| visFreeVar(X5,X1) )
& ( ~ visFreeVar(X5,X1)
| ( ~ equal(X7,X8)
& visFreeVar(X8,X15) ) ) ) ),
inference(fof_nnf,[status(thm)],[8]) ).
fof(61,plain,
! [X17,X18,X19,X20,X21,X22] :
( ~ equal(X18,X21)
| ~ equal(X19,vabs(X20,X17,X22))
| ( ( equal(X20,X21)
| ~ visFreeVar(X21,X22)
| visFreeVar(X18,X19) )
& ( ~ visFreeVar(X18,X19)
| ( ~ equal(X20,X21)
& visFreeVar(X21,X22) ) ) ) ),
inference(variable_rename,[status(thm)],[60]) ).
fof(62,plain,
! [X17,X18,X19,X20,X21,X22] :
( ( equal(X20,X21)
| ~ visFreeVar(X21,X22)
| visFreeVar(X18,X19)
| ~ equal(X18,X21)
| ~ equal(X19,vabs(X20,X17,X22)) )
& ( ~ equal(X20,X21)
| ~ visFreeVar(X18,X19)
| ~ equal(X18,X21)
| ~ equal(X19,vabs(X20,X17,X22)) )
& ( visFreeVar(X21,X22)
| ~ visFreeVar(X18,X19)
| ~ equal(X18,X21)
| ~ equal(X19,vabs(X20,X17,X22)) ) ),
inference(distribute,[status(thm)],[61]) ).
cnf(64,plain,
( X1 != vabs(X2,X3,X4)
| X5 != X6
| ~ visFreeVar(X5,X1)
| X2 != X6 ),
inference(split_conjunct,[status(thm)],[62]) ).
fof(94,plain,
! [X15,X7,X5,X1,X2,X19,X11,X16,X9] :
( ~ equal(X5,X7)
| ~ equal(X1,X15)
| ~ equal(X2,vabs(X11,X16,X9))
| ~ equal(X7,X11)
| ~ equal(X19,vsubst(X5,X1,X2))
| equal(X19,vabs(X11,X16,X9)) ),
inference(fof_nnf,[status(thm)],[16]) ).
fof(95,plain,
! [X20,X21,X22,X23,X24,X25,X26,X27,X28] :
( ~ equal(X22,X21)
| ~ equal(X23,X20)
| ~ equal(X24,vabs(X26,X27,X28))
| ~ equal(X21,X26)
| ~ equal(X25,vsubst(X22,X23,X24))
| equal(X25,vabs(X26,X27,X28)) ),
inference(variable_rename,[status(thm)],[94]) ).
cnf(96,plain,
( X1 = vabs(X2,X3,X4)
| X1 != vsubst(X5,X6,X7)
| X8 != X2
| X7 != vabs(X2,X3,X4)
| X6 != X9
| X5 != X8 ),
inference(split_conjunct,[status(thm)],[95]) ).
fof(115,plain,
! [X7,X22,X14,X15,X16] :
( visFreeVar(X7,X15)
| ~ vtcheck(vbind(X7,X22,X14),X15,X16)
| vtcheck(X14,X15,X16) ),
inference(fof_nnf,[status(thm)],[30]) ).
fof(116,plain,
! [X23,X24,X25,X26,X27] :
( visFreeVar(X23,X26)
| ~ vtcheck(vbind(X23,X24,X25),X26,X27)
| vtcheck(X25,X26,X27) ),
inference(variable_rename,[status(thm)],[115]) ).
cnf(117,plain,
( vtcheck(X1,X2,X3)
| visFreeVar(X4,X2)
| ~ vtcheck(vbind(X4,X5,X1),X2,X3) ),
inference(split_conjunct,[status(thm)],[116]) ).
fof(121,negated_conjecture,
? [X16,X14,X7,X15,X11,X22,X9,X23] :
( equal(X7,X11)
& vtcheck(X14,X15,X16)
& vtcheck(vbind(X7,X16,X14),vabs(X11,X22,X9),X23)
& ~ vtcheck(X14,vsubst(X7,X15,vabs(X11,X22,X9)),X23) ),
inference(fof_nnf,[status(thm)],[28]) ).
fof(122,negated_conjecture,
? [X24,X25,X26,X27,X28,X29,X30,X31] :
( equal(X26,X28)
& vtcheck(X25,X27,X24)
& vtcheck(vbind(X26,X24,X25),vabs(X28,X29,X30),X31)
& ~ vtcheck(X25,vsubst(X26,X27,vabs(X28,X29,X30)),X31) ),
inference(variable_rename,[status(thm)],[121]) ).
fof(123,negated_conjecture,
( equal(esk3_0,esk5_0)
& vtcheck(esk2_0,esk4_0,esk1_0)
& vtcheck(vbind(esk3_0,esk1_0,esk2_0),vabs(esk5_0,esk6_0,esk7_0),esk8_0)
& ~ vtcheck(esk2_0,vsubst(esk3_0,esk4_0,vabs(esk5_0,esk6_0,esk7_0)),esk8_0) ),
inference(skolemize,[status(esa)],[122]) ).
cnf(124,negated_conjecture,
~ vtcheck(esk2_0,vsubst(esk3_0,esk4_0,vabs(esk5_0,esk6_0,esk7_0)),esk8_0),
inference(split_conjunct,[status(thm)],[123]) ).
cnf(125,negated_conjecture,
vtcheck(vbind(esk3_0,esk1_0,esk2_0),vabs(esk5_0,esk6_0,esk7_0),esk8_0),
inference(split_conjunct,[status(thm)],[123]) ).
cnf(127,negated_conjecture,
esk3_0 = esk5_0,
inference(split_conjunct,[status(thm)],[123]) ).
cnf(134,negated_conjecture,
vtcheck(vbind(esk3_0,esk1_0,esk2_0),vabs(esk3_0,esk6_0,esk7_0),esk8_0),
inference(rw,[status(thm)],[125,127,theory(equality)]) ).
cnf(139,negated_conjecture,
~ vtcheck(esk2_0,vsubst(esk3_0,esk4_0,vabs(esk3_0,esk6_0,esk7_0)),esk8_0),
inference(rw,[status(thm)],[124,127,theory(equality)]) ).
cnf(149,plain,
( vabs(X1,X2,X3) != X4
| X1 != X5
| ~ visFreeVar(X5,X4) ),
inference(er,[status(thm)],[64,theory(equality)]) ).
cnf(150,plain,
( vabs(X1,X2,X3) != X4
| ~ visFreeVar(X1,X4) ),
inference(er,[status(thm)],[149,theory(equality)]) ).
cnf(151,negated_conjecture,
( vtcheck(esk2_0,vabs(esk3_0,esk6_0,esk7_0),esk8_0)
| visFreeVar(esk3_0,vabs(esk3_0,esk6_0,esk7_0)) ),
inference(spm,[status(thm)],[117,134,theory(equality)]) ).
cnf(174,plain,
( vabs(X1,X2,X3) = X4
| vabs(X1,X2,X3) != X5
| vsubst(X6,X7,X5) != X4
| X6 != X8
| X1 != X8 ),
inference(er,[status(thm)],[96,theory(equality)]) ).
cnf(175,plain,
( vabs(X1,X2,X3) = X4
| vabs(X1,X2,X3) != X5
| vsubst(X6,X7,X5) != X4
| X1 != X6 ),
inference(er,[status(thm)],[174,theory(equality)]) ).
cnf(176,plain,
( vabs(X1,X2,X3) = X4
| vabs(X1,X2,X3) != X5
| vsubst(X1,X6,X5) != X4 ),
inference(er,[status(thm)],[175,theory(equality)]) ).
cnf(182,plain,
~ visFreeVar(X1,vabs(X1,X2,X3)),
inference(er,[status(thm)],[150,theory(equality)]) ).
cnf(184,negated_conjecture,
vtcheck(esk2_0,vabs(esk3_0,esk6_0,esk7_0),esk8_0),
inference(sr,[status(thm)],[151,182,theory(equality)]) ).
cnf(245,plain,
( vabs(X1,X2,X3) = X4
| vsubst(X1,X5,vabs(X1,X2,X3)) != X4 ),
inference(er,[status(thm)],[176,theory(equality)]) ).
cnf(246,plain,
vabs(X1,X2,X3) = vsubst(X1,X4,vabs(X1,X2,X3)),
inference(er,[status(thm)],[245,theory(equality)]) ).
cnf(251,negated_conjecture,
$false,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[139,246,theory(equality)]),184,theory(equality)]) ).
cnf(252,negated_conjecture,
$false,
inference(cn,[status(thm)],[251,theory(equality)]) ).
cnf(253,negated_conjecture,
$false,
252,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM130+1 : TPTP v6.4.0. Released v6.4.0.
% 0.00/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.03/0.22 % Computer : n006.star.cs.uiowa.edu
% 0.03/0.22 % Model : x86_64 x86_64
% 0.03/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.22 % Memory : 16091.75MB
% 0.03/0.22 % OS : Linux 3.10.0-327.10.1.el7.x86_64
% 0.03/0.23 % CPULimit : 300
% 0.03/0.23 % DateTime : Fri Mar 25 11:52:00 CDT 2016
% 0.03/0.23 % CPUTime :
% 0.06/0.29 % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.29 --creating new selector for [COM001+0.ax]
% 0.06/0.38 -running prover on /export/starexec/sandbox/tmp/tmpOv2GPa/sel_theBenchmark.p_1 with time limit 29
% 0.06/0.38 -running prover with command ['/export/starexec/sandbox/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/export/starexec/sandbox/tmp/tmpOv2GPa/sel_theBenchmark.p_1']
% 0.06/0.38 -prover status Theorem
% 0.06/0.38 Problem theBenchmark.p solved in phase 0.
% 0.06/0.38 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.38 % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.38 Solved 1 out of 1.
% 0.06/0.38 # Problem is unsatisfiable (or provable), constructing proof object
% 0.06/0.38 # SZS status Theorem
% 0.06/0.38 # SZS output start CNFRefutation.
% See solution above
% 0.06/0.38 # SZS output end CNFRefutation
%------------------------------------------------------------------------------