TSTP Solution File: SEU306+1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SEU306+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n011.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 Aug 22 10:58:21 EDT 2023
% Result : Theorem 3.76s 1.90s
% Output : CNFRefutation 3.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 27
% Syntax : Number of formulae : 32 ( 4 unt; 25 typ; 0 def)
% Number of atoms : 10 ( 5 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 3 ~; 1 |; 0 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 24 ( 21 >; 3 *; 0 +; 0 <<)
% Number of predicates : 17 ( 15 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-1 aty)
% Number of variables : 3 (; 3 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ subset > in > element > v5_membered > v4_membered > v3_membered > v2_membered > v1_xreal_0 > v1_xcmplx_0 > v1_rat_1 > v1_membered > v1_int_1 > one_sorted_str > natural > empty > #nlpp > the_carrier > powerset > cast_as_carrier_subset > empty_set > #skF_2 > #skF_4 > #skF_5 > #skF_6 > #skF_1 > #skF_3
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_2',type,
'#skF_2': $i > $i ).
tff('#skF_4',type,
'#skF_4': $i > $i ).
tff(the_carrier,type,
the_carrier: $i > $i ).
tff(v1_int_1,type,
v1_int_1: $i > $o ).
tff(element,type,
element: ( $i * $i ) > $o ).
tff(in,type,
in: ( $i * $i ) > $o ).
tff('#skF_5',type,
'#skF_5': $i ).
tff(one_sorted_str,type,
one_sorted_str: $i > $o ).
tff(subset,type,
subset: ( $i * $i ) > $o ).
tff('#skF_6',type,
'#skF_6': $i ).
tff(v3_membered,type,
v3_membered: $i > $o ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(cast_as_carrier_subset,type,
cast_as_carrier_subset: $i > $i ).
tff(empty,type,
empty: $i > $o ).
tff(v1_xreal_0,type,
v1_xreal_0: $i > $o ).
tff(v5_membered,type,
v5_membered: $i > $o ).
tff(empty_set,type,
empty_set: $i ).
tff(v2_membered,type,
v2_membered: $i > $o ).
tff(v1_membered,type,
v1_membered: $i > $o ).
tff(v1_xcmplx_0,type,
v1_xcmplx_0: $i > $o ).
tff('#skF_3',type,
'#skF_3': $i > $i ).
tff(v1_rat_1,type,
v1_rat_1: $i > $o ).
tff(powerset,type,
powerset: $i > $i ).
tff(natural,type,
natural: $i > $o ).
tff(v4_membered,type,
v4_membered: $i > $o ).
tff(f_275,negated_conjecture,
~ ! [A] :
( one_sorted_str(A)
=> ( cast_as_carrier_subset(A) = the_carrier(A) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_pre_topc) ).
tff(f_270,axiom,
! [A] :
( one_sorted_str(A)
=> ( cast_as_carrier_subset(A) = the_carrier(A) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_pre_topc) ).
tff(c_154,plain,
the_carrier('#skF_6') != cast_as_carrier_subset('#skF_6'),
inference(cnfTransformation,[status(thm)],[f_275]) ).
tff(c_156,plain,
one_sorted_str('#skF_6'),
inference(cnfTransformation,[status(thm)],[f_275]) ).
tff(c_251,plain,
! [A_89] :
( ( the_carrier(A_89) = cast_as_carrier_subset(A_89) )
| ~ one_sorted_str(A_89) ),
inference(cnfTransformation,[status(thm)],[f_270]) ).
tff(c_257,plain,
the_carrier('#skF_6') = cast_as_carrier_subset('#skF_6'),
inference(resolution,[status(thm)],[c_156,c_251]) ).
tff(c_262,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_154,c_257]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SEU306+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.15 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.15/0.36 % Computer : n011.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Thu Aug 3 12:07:21 EDT 2023
% 0.15/0.37 % CPUTime :
% 3.76/1.90 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.76/1.90
% 3.76/1.90 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.76/1.92
% 3.76/1.92 Inference rules
% 3.76/1.92 ----------------------
% 3.76/1.92 #Ref : 0
% 3.76/1.92 #Sup : 18
% 3.76/1.92 #Fact : 0
% 3.76/1.92 #Define : 0
% 3.76/1.92 #Split : 0
% 3.76/1.92 #Chain : 0
% 3.76/1.92 #Close : 0
% 3.76/1.92
% 3.76/1.92 Ordering : KBO
% 3.76/1.92
% 3.76/1.92 Simplification rules
% 3.76/1.92 ----------------------
% 3.76/1.92 #Subsume : 4
% 3.76/1.92 #Demod : 11
% 3.76/1.92 #Tautology : 17
% 3.76/1.92 #SimpNegUnit : 1
% 3.76/1.92 #BackRed : 1
% 3.76/1.92
% 3.76/1.92 #Partial instantiations: 0
% 3.76/1.92 #Strategies tried : 1
% 3.76/1.92
% 3.76/1.92 Timing (in seconds)
% 3.76/1.92 ----------------------
% 3.76/1.93 Preprocessing : 0.58
% 3.76/1.93 Parsing : 0.30
% 3.76/1.93 CNF conversion : 0.05
% 3.76/1.93 Main loop : 0.28
% 3.76/1.93 Inferencing : 0.09
% 3.76/1.93 Reduction : 0.10
% 3.76/1.93 Demodulation : 0.07
% 3.76/1.93 BG Simplification : 0.03
% 3.76/1.93 Subsumption : 0.05
% 3.76/1.93 Abstraction : 0.01
% 3.76/1.93 MUC search : 0.00
% 3.76/1.93 Cooper : 0.00
% 3.76/1.93 Total : 0.90
% 3.76/1.93 Index Insertion : 0.00
% 3.76/1.93 Index Deletion : 0.00
% 3.76/1.93 Index Matching : 0.00
% 3.76/1.93 BG Taut test : 0.00
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