TSTP Solution File: RNG074+2 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : RNG074+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n007.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 13:48:56 EDT 2023
% Result : Theorem 0.19s 0.60s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 36
% Syntax : Number of formulae : 42 ( 9 unt; 33 typ; 0 def)
% Number of atoms : 9 ( 2 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 22 ( 15 >; 7 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 18 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
aNaturalNumber0: $i > $o ).
tff(decl_23,type,
sz00: $i ).
tff(decl_24,type,
szszuzczcdt0: $i > $i ).
tff(decl_25,type,
iLess0: ( $i * $i ) > $o ).
tff(decl_26,type,
aScalar0: $i > $o ).
tff(decl_27,type,
sz0z00: $i ).
tff(decl_28,type,
sdtpldt0: ( $i * $i ) > $i ).
tff(decl_29,type,
sdtasdt0: ( $i * $i ) > $i ).
tff(decl_30,type,
smndt0: $i > $i ).
tff(decl_31,type,
sdtlseqdt0: ( $i * $i ) > $o ).
tff(decl_32,type,
aVector0: $i > $o ).
tff(decl_33,type,
aDimensionOf0: $i > $i ).
tff(decl_34,type,
sdtlbdtrb0: ( $i * $i ) > $i ).
tff(decl_35,type,
sziznziztdt0: $i > $i ).
tff(decl_36,type,
sdtasasdt0: ( $i * $i ) > $i ).
tff(decl_37,type,
xs: $i ).
tff(decl_38,type,
xt: $i ).
tff(decl_39,type,
xp: $i ).
tff(decl_40,type,
xq: $i ).
tff(decl_41,type,
xA: $i ).
tff(decl_42,type,
xB: $i ).
tff(decl_43,type,
xC: $i ).
tff(decl_44,type,
xD: $i ).
tff(decl_45,type,
xE: $i ).
tff(decl_46,type,
xF: $i ).
tff(decl_47,type,
xG: $i ).
tff(decl_48,type,
xH: $i ).
tff(decl_49,type,
xR: $i ).
tff(decl_50,type,
xP: $i ).
tff(decl_51,type,
xS: $i ).
tff(decl_52,type,
xN: $i ).
tff(decl_53,type,
esk1_1: $i > $i ).
tff(decl_54,type,
esk2_2: ( $i * $i ) > $i ).
fof(m__2590,hypothesis,
~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2590) ).
fof(m__2679,hypothesis,
sdtpldt0(xR,xS) = sdtpldt0(xP,xP),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2679) ).
fof(m__2610,hypothesis,
sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2610) ).
fof(c_0_3,hypothesis,
~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
inference(fof_simplification,[status(thm)],[m__2590]) ).
cnf(c_0_4,hypothesis,
~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_5,hypothesis,
sdtpldt0(xR,xS) = sdtpldt0(xP,xP),
inference(split_conjunct,[status(thm)],[m__2679]) ).
cnf(c_0_6,hypothesis,
sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
inference(split_conjunct,[status(thm)],[m__2610]) ).
cnf(c_0_7,hypothesis,
~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),
inference(rw,[status(thm)],[c_0_4,c_0_5]) ).
cnf(c_0_8,hypothesis,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_5]),c_0_7]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG074+2 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Aug 27 01:21:27 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.19/0.57 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 : 0.011000 s
% 0.19/0.60 % SZS output end Proof
% 0.19/0.60 % Total time : 0.015000 s
%------------------------------------------------------------------------------