%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO332+1 : TPTP v9.2.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n009.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 5 04:20:19 PM UTC 2026
% Result : Theorem 1.82s 1.89s
% Output : CNFRefutation 1.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of formulae : 46 ( 16 unt; 0 def)
% Number of atoms : 212 ( 99 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 280 ( 114 ~; 119 |; 43 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-8 aty)
% Number of variables : 113 ( 0 sgn 55 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof('qe(390)',conjecture,
? [X1] :
( vf(vd1362,X1) = vf(vd1361,vd1363)
& rR(X1,vd1362,vd1361)
& rpoint(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(390)') ).
fof('ass(cond(goal(238), 0), 1)',axiom,
! [X28,X29,X30,X31,X32,X33,X34,X35] :
( ( rless(vf(X32,X34),vf(X28,X30))
& X32 != X34
& X28 != X30
& X34 = X35
& rpoint(X35)
& X32 = X33
& rpoint(X33)
& X30 = X31
& rpoint(X31)
& X28 = X29
& rpoint(X29) )
=> rR(vskolem1120(X28,X29,X30,X31,X32,X33,X34,X35),X28,X30) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(238), 0), 1)') ).
fof('qe(s2(plural(386)))',axiom,
? [X3] :
( vd1362 = X3
& rpoint(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s2(plural(386)))') ).
fof('qe(s1(plural(386)))',axiom,
? [X4] :
( vd1361 = X4
& rpoint(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s1(plural(386)))') ).
fof('ass(cond(goal(238), 0), 0)',axiom,
! [X28,X29,X30,X31,X32,X33,X34,X35] :
( ( rless(vf(X32,X34),vf(X28,X30))
& X32 != X34
& X28 != X30
& X34 = X35
& rpoint(X35)
& X32 = X33
& rpoint(X33)
& X30 = X31
& rpoint(X31)
& X28 = X29
& rpoint(X29) )
=> vf(X28,vskolem1120(X28,X29,X30,X31,X32,X33,X34,X35)) = vf(X32,X34) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(238), 0), 0)') ).
fof('pred(386, 7)',axiom,
vd1361 != vd1362,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(386, 7)') ).
fof('ass(cond(goal(238), 0), 2)',axiom,
! [X28,X29,X30,X31,X32,X33,X34,X35] :
( ( rless(vf(X32,X34),vf(X28,X30))
& X32 != X34
& X28 != X30
& X34 = X35
& rpoint(X35)
& X32 = X33
& rpoint(X33)
& X30 = X31
& rpoint(X31)
& X28 = X29
& rpoint(X29) )
=> rpoint(vskolem1120(X28,X29,X30,X31,X32,X33,X34,X35)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(238), 0), 2)') ).
fof('qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))',axiom,
! [X74,X75] :
( ( ? [X76] :
( X75 = X76
& rpoint(X76) )
& ? [X77] :
( X74 = X77
& rpoint(X77) ) )
=> vf(X74,X75) = vf(X75,X74) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))') ).
fof('qe(s3(plural(386)))',axiom,
? [X2] :
( vd1363 = X2
& rpoint(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s3(plural(386)))') ).
fof('holds(389, 1370, 0)',axiom,
rless(vf(vd1361,vd1363),vf(vd1361,vd1362)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(389, 1370, 0)') ).
fof('pred(386, 8)',axiom,
vd1361 != vd1363,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(386, 8)') ).
fof(c_0_11,negated_conjecture,
~ ? [X1] :
( vf(vd1362,X1) = vf(vd1361,vd1363)
& rR(X1,vd1362,vd1361)
& rpoint(X1) ),
inference(assume_negation,[status(cth)],['qe(390)']) ).
fof(c_0_12,plain,
! [X1680,X1681,X1682,X1683,X1684,X1685,X1686,X1687] :
( ~ rless(vf(X1684,X1686),vf(X1680,X1682))
| X1684 = X1686
| X1680 = X1682
| X1686 != X1687
| ~ rpoint(X1687)
| X1684 != X1685
| ~ rpoint(X1685)
| X1682 != X1683
| ~ rpoint(X1683)
| X1680 != X1681
| ~ rpoint(X1681)
| rR(vskolem1120(X1680,X1681,X1682,X1683,X1684,X1685,X1686,X1687),X1680,X1682) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(238), 0), 1)'])]) ).
fof(c_0_13,plain,
( vd1362 = esk2_0
& rpoint(esk2_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['qe(s2(plural(386)))'])]) ).
fof(c_0_14,plain,
( vd1361 = esk3_0
& rpoint(esk3_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['qe(s1(plural(386)))'])]) ).
fof(c_0_15,negated_conjecture,
! [X1609] :
( vf(vd1362,X1609) != vf(vd1361,vd1363)
| ~ rR(X1609,vd1362,vd1361)
| ~ rpoint(X1609) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])]) ).
cnf(c_0_16,plain,
( X1 = X2
| X3 = X4
| rR(vskolem1120(X3,X8,X4,X7,X1,X6,X2,X5),X3,X4)
| ~ rless(vf(X1,X2),vf(X3,X4))
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X4 != X7
| ~ rpoint(X7)
| X3 != X8
| ~ rpoint(X8) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_17,plain,
rpoint(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_18,plain,
vd1362 = esk2_0,
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,plain,
rpoint(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,plain,
vd1361 = esk3_0,
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_21,plain,
! [X1672,X1673,X1674,X1675,X1676,X1677,X1678,X1679] :
( ~ rless(vf(X1676,X1678),vf(X1672,X1674))
| X1676 = X1678
| X1672 = X1674
| X1678 != X1679
| ~ rpoint(X1679)
| X1676 != X1677
| ~ rpoint(X1677)
| X1674 != X1675
| ~ rpoint(X1675)
| X1672 != X1673
| ~ rpoint(X1673)
| vf(X1672,vskolem1120(X1672,X1673,X1674,X1675,X1676,X1677,X1678,X1679)) = vf(X1676,X1678) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(238), 0), 0)'])]) ).
cnf(c_0_22,negated_conjecture,
( vf(vd1362,X1) != vf(vd1361,vd1363)
| ~ rR(X1,vd1362,vd1361)
| ~ rpoint(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_23,plain,
( X1 = X2
| X3 = X4
| rR(vskolem1120(X1,X1,X2,X2,X3,X3,X4,X4),X1,X2)
| ~ rless(vf(X3,X4),vf(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_16])])])]) ).
cnf(c_0_24,plain,
rpoint(vd1362),
inference(rw,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_25,plain,
rpoint(vd1361),
inference(rw,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_26,plain,
vd1361 != vd1362,
inference(split_conjunct,[status(thm)],['pred(386, 7)']) ).
cnf(c_0_27,plain,
( X1 = X2
| X3 = X4
| vf(X3,vskolem1120(X3,X8,X4,X7,X1,X6,X2,X5)) = vf(X1,X2)
| ~ rless(vf(X1,X2),vf(X3,X4))
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X4 != X7
| ~ rpoint(X7)
| X3 != X8
| ~ rpoint(X8) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_28,plain,
! [X1688,X1689,X1690,X1691,X1692,X1693,X1694,X1695] :
( ~ rless(vf(X1692,X1694),vf(X1688,X1690))
| X1692 = X1694
| X1688 = X1690
| X1694 != X1695
| ~ rpoint(X1695)
| X1692 != X1693
| ~ rpoint(X1693)
| X1690 != X1691
| ~ rpoint(X1691)
| X1688 != X1689
| ~ rpoint(X1689)
| rpoint(vskolem1120(X1688,X1689,X1690,X1691,X1692,X1693,X1694,X1695)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(238), 0), 2)'])]) ).
cnf(c_0_29,negated_conjecture,
( X1 = X2
| vf(vd1362,vskolem1120(vd1362,vd1362,vd1361,vd1361,X1,X1,X2,X2)) != vf(vd1361,vd1363)
| ~ rless(vf(X1,X2),vf(vd1362,vd1361))
| ~ rpoint(vskolem1120(vd1362,vd1362,vd1361,vd1361,X1,X1,X2,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]),c_0_25])]),c_0_26]) ).
cnf(c_0_30,plain,
( vf(X1,vskolem1120(X1,X1,X2,X2,X3,X3,X4,X4)) = vf(X3,X4)
| X1 = X2
| X3 = X4
| ~ rless(vf(X3,X4),vf(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_27])])])]) ).
cnf(c_0_31,plain,
( X1 = X2
| X3 = X4
| rpoint(vskolem1120(X3,X8,X4,X7,X1,X6,X2,X5))
| ~ rless(vf(X1,X2),vf(X3,X4))
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X4 != X7
| ~ rpoint(X7)
| X3 != X8
| ~ rpoint(X8) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_32,plain,
! [X1740,X1741,X1742,X1743] :
( X1741 != X1742
| ~ rpoint(X1742)
| X1740 != X1743
| ~ rpoint(X1743)
| vf(X1740,X1741) = vf(X1741,X1740) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))'])])]) ).
cnf(c_0_33,negated_conjecture,
( X1 = X2
| vf(X1,X2) != vf(vd1361,vd1363)
| ~ rless(vf(X1,X2),vf(vd1362,vd1361))
| ~ rpoint(vskolem1120(vd1362,vd1362,vd1361,vd1361,X1,X1,X2,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_24]),c_0_25])]),c_0_26]) ).
cnf(c_0_34,plain,
( X1 = X2
| X3 = X4
| rpoint(vskolem1120(X1,X1,X2,X2,X3,X3,X4,X4))
| ~ rless(vf(X3,X4),vf(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_31])])])]) ).
cnf(c_0_35,plain,
( vf(X3,X1) = vf(X1,X3)
| X1 != X2
| ~ rpoint(X2)
| X3 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_36,plain,
( vd1363 = esk1_0
& rpoint(esk1_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['qe(s3(plural(386)))'])]) ).
cnf(c_0_37,negated_conjecture,
( X1 = X2
| vf(X1,X2) != vf(vd1361,vd1363)
| ~ rless(vf(X1,X2),vf(vd1362,vd1361))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_24]),c_0_25])]),c_0_26]) ).
cnf(c_0_38,plain,
( vf(X1,X2) = vf(X2,X1)
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_35])]) ).
cnf(c_0_39,plain,
rpoint(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_40,plain,
vd1363 = esk1_0,
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_41,negated_conjecture,
( X1 = X2
| vf(X1,X2) != vf(vd1361,vd1363)
| ~ rless(vf(X1,X2),vf(vd1361,vd1362))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_25]),c_0_24])]) ).
cnf(c_0_42,plain,
rless(vf(vd1361,vd1363),vf(vd1361,vd1362)),
inference(split_conjunct,[status(thm)],['holds(389, 1370, 0)']) ).
cnf(c_0_43,plain,
rpoint(vd1363),
inference(rw,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_44,plain,
vd1361 != vd1363,
inference(split_conjunct,[status(thm)],['pred(386, 8)']) ).
cnf(c_0_45,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_25]),c_0_43])]),c_0_44]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO332+1 : TPTP v9.2.1. Released v4.1.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n009.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Mon May 4 17:52:56 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.82/1.89 % Version : CSE_E---1.7
% 1.82/1.89 % Problem : theBenchmark.p
% 1.82/1.89 % SZS status Theorem for theBenchmark.p
% 1.82/1.89 % SZS output start CNFRefutation
% See solution above
% 1.82/1.89 % Total time : 1.421s
%------------------------------------------------------------------------------