TSTP Solution File: NUM838+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : NUM838+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n005.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 10:40:54 EDT 2023
% Result : Theorem 0.19s 0.60s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 25
% Syntax : Number of formulae : 55 ( 30 unt; 16 typ; 0 def)
% Number of atoms : 51 ( 35 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 31 ( 19 ~; 11 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 22 ( 12 >; 10 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-2 aty)
% Number of variables : 67 ( 12 sgn; 32 !; 3 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
vd301: $i ).
tff(decl_23,type,
vd303: $i ).
tff(decl_24,type,
vplus: ( $i * $i ) > $i ).
tff(decl_25,type,
vd302: $i ).
tff(decl_26,type,
greater: ( $i * $i ) > $o ).
tff(decl_27,type,
less: ( $i * $i ) > $o ).
tff(decl_28,type,
vskolem7: ( $i * $i ) > $i ).
tff(decl_29,type,
leq: ( $i * $i ) > $o ).
tff(decl_30,type,
geq: ( $i * $i ) > $o ).
tff(decl_31,type,
vsucc: $i > $i ).
tff(decl_32,type,
v1: $i ).
tff(decl_33,type,
vskolem2: $i > $i ).
tff(decl_34,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_35,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_36,type,
esk3_2: ( $i * $i ) > $i ).
tff(decl_37,type,
esk4_2: ( $i * $i ) > $i ).
fof('ass(cond(73, 0), 0)',axiom,
! [X46,X47] : X47 != vplus(X46,X47),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(73, 0), 0)') ).
fof('ass(cond(33, 0), 0)',axiom,
! [X53,X54,X55] : vplus(vplus(X53,X54),X55) = vplus(X53,vplus(X54,X55)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(33, 0), 0)') ).
fof('ass(cond(61, 0), 0)',axiom,
! [X48,X49] : vplus(X49,X48) = vplus(X48,X49),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(61, 0), 0)') ).
fof('ass(cond(proof(196), 0), 9)',axiom,
! [X1,X6,X7] :
( greater(X6,X7)
=> X6 = vplus(X7,vskolem7(X6,X7)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(proof(196), 0), 9)') ).
fof('holds(antec(195), 304, 0)',axiom,
greater(vd301,vd302),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(antec(195), 304, 0)') ).
fof('ass(cond(goal(88), 0), 1)',axiom,
! [X39,X40] :
( X39 != X40
| ~ ? [X42] : X40 = vplus(X39,X42) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 1)') ).
fof('ass(cond(189, 0), 0)',axiom,
! [X8,X9] : greater(vplus(X8,X9),X8),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(189, 0), 0)') ).
fof('ass(cond(goal(88), 0), 0)',axiom,
! [X39,X40] :
( X39 = X40
| ? [X41] : X39 = vplus(X40,X41)
| ? [X42] : X40 = vplus(X39,X42) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 0)') ).
fof('holds(conseq(195), 305, 0)',conjecture,
greater(vplus(vd301,vd303),vplus(vd302,vd303)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conseq(195), 305, 0)') ).
fof(c_0_9,plain,
! [X153,X154] : X154 != vplus(X153,X154),
inference(variable_rename,[status(thm)],['ass(cond(73, 0), 0)']) ).
fof(c_0_10,plain,
! [X160,X161,X162] : vplus(vplus(X160,X161),X162) = vplus(X160,vplus(X161,X162)),
inference(variable_rename,[status(thm)],['ass(cond(33, 0), 0)']) ).
cnf(c_0_11,plain,
X1 != vplus(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_12,plain,
vplus(vplus(X1,X2),X3) = vplus(X1,vplus(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_13,plain,
! [X155,X156] : vplus(X156,X155) = vplus(X155,X156),
inference(variable_rename,[status(thm)],['ass(cond(61, 0), 0)']) ).
fof(c_0_14,plain,
! [X91,X92] :
( ~ greater(X91,X92)
| X91 = vplus(X92,vskolem7(X91,X92)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],['ass(cond(proof(196), 0), 9)'])])]) ).
cnf(c_0_15,plain,
vplus(X1,vplus(X2,X3)) != X3,
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,plain,
vplus(X1,X2) = vplus(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_17,plain,
( X1 = vplus(X2,vskolem7(X1,X2))
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_18,plain,
greater(vd301,vd302),
inference(split_conjunct,[status(thm)],['holds(antec(195), 304, 0)']) ).
fof(c_0_19,plain,
! [X140,X141,X142] :
( X140 != X141
| X141 != vplus(X140,X142) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(88), 0), 1)'])])]) ).
cnf(c_0_20,plain,
vplus(X1,vplus(X2,X3)) != X2,
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_21,plain,
vplus(vd302,vskolem7(vd301,vd302)) = vd301,
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,plain,
( X1 != X2
| X2 != vplus(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_23,plain,
! [X93,X94] : greater(vplus(X93,X94),X93),
inference(variable_rename,[status(thm)],['ass(cond(189, 0), 0)']) ).
cnf(c_0_24,plain,
vplus(X1,vd301) != vd302,
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
fof(c_0_25,plain,
! [X136,X137] :
( X136 = X137
| X136 = vplus(X137,esk3_2(X136,X137))
| X137 = vplus(X136,esk4_2(X136,X137)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['ass(cond(goal(88), 0), 0)'])]) ).
cnf(c_0_26,plain,
vplus(X1,X2) != X1,
inference(er,[status(thm)],[c_0_22]) ).
cnf(c_0_27,plain,
greater(vplus(X1,X2),X1),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_28,plain,
vplus(vd301,X1) != vd302,
inference(spm,[status(thm)],[c_0_24,c_0_16]) ).
cnf(c_0_29,plain,
( X1 = X2
| X1 = vplus(X2,esk3_2(X1,X2))
| X2 = vplus(X1,esk4_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_30,plain,
vd302 != vd301,
inference(spm,[status(thm)],[c_0_26,c_0_21]) ).
cnf(c_0_31,plain,
greater(vplus(X1,vplus(X2,X3)),vplus(X1,X2)),
inference(spm,[status(thm)],[c_0_27,c_0_12]) ).
cnf(c_0_32,plain,
vplus(vd302,esk4_2(vd302,vd301)) = vd301,
inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29])]),c_0_30]) ).
cnf(c_0_33,plain,
greater(vplus(X1,vd301),vplus(X1,vd302)),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
fof(c_0_34,negated_conjecture,
~ greater(vplus(vd301,vd303),vplus(vd302,vd303)),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],['holds(conseq(195), 305, 0)'])]) ).
cnf(c_0_35,plain,
greater(vplus(X1,vd301),vplus(vd302,X1)),
inference(spm,[status(thm)],[c_0_33,c_0_16]) ).
cnf(c_0_36,negated_conjecture,
~ greater(vplus(vd301,vd303),vplus(vd302,vd303)),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_37,plain,
greater(vplus(vd301,X1),vplus(vd302,X1)),
inference(spm,[status(thm)],[c_0_35,c_0_16]) ).
cnf(c_0_38,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_37])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : NUM838+1 : TPTP v8.1.2. Released v4.1.0.
% 0.08/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.33 % Computer : n005.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 25 15:24:08 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.55 start to proof: theBenchmark
% 0.19/0.60 % Version : CSE_E---1.5
% 0.19/0.60 % Problem : theBenchmark.p
% 0.19/0.60 % Proof found
% 0.19/0.60 % SZS status Theorem for theBenchmark.p
% 0.19/0.60 % SZS output start Proof
% See solution above
% 0.19/0.60 % Total time : 0.037000 s
% 0.19/0.60 % SZS output end Proof
% 0.19/0.60 % Total time : 0.040000 s
%------------------------------------------------------------------------------