TSTP Solution File: SWV412+1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWV412+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/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n032.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 11:04:02 EDT 2023
% Result : Theorem 3.82s 2.02s
% Output : CNFRefutation 4.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 18
% Syntax : Number of formulae : 25 ( 5 unt; 16 typ; 0 def)
% Number of atoms : 17 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 14 ( 6 ~; 3 |; 3 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 20 ( 10 >; 10 *; 0 +; 0 <<)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 14 (; 14 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ pair_in_list > strictly_less_than > less_than > contains_slb > isnonempty_slb > update_slb > remove_slb > pair > lookup_slb > insert_slb > #nlpp > create_slb > bottom > #skF_2 > #skF_3 > #skF_1 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(contains_slb,type,
contains_slb: ( $i * $i ) > $o ).
tff(lookup_slb,type,
lookup_slb: ( $i * $i ) > $i ).
tff(pair_in_list,type,
pair_in_list: ( $i * $i * $i ) > $o ).
tff(less_than,type,
less_than: ( $i * $i ) > $o ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(strictly_less_than,type,
strictly_less_than: ( $i * $i ) > $o ).
tff(pair,type,
pair: ( $i * $i ) > $i ).
tff(bottom,type,
bottom: $i ).
tff('#skF_4',type,
'#skF_4': $i ).
tff(isnonempty_slb,type,
isnonempty_slb: $i > $o ).
tff(remove_slb,type,
remove_slb: ( $i * $i ) > $i ).
tff(create_slb,type,
create_slb: $i ).
tff(insert_slb,type,
insert_slb: ( $i * $i ) > $i ).
tff(update_slb,type,
update_slb: ( $i * $i ) > $i ).
tff(f_168,negated_conjecture,
~ ! [U,V,W,X] :
( ( pair_in_list(U,V,W)
& strictly_less_than(V,X)
& strictly_less_than(W,X) )
=> pair_in_list(update_slb(U,X),V,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l48_co) ).
tff(f_158,lemma,
! [U,V,W,X] :
( ( pair_in_list(U,V,W)
& strictly_less_than(W,X) )
=> pair_in_list(update_slb(U,X),V,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l48_li3839) ).
tff(c_60,plain,
pair_in_list('#skF_1','#skF_2','#skF_3'),
inference(cnfTransformation,[status(thm)],[f_168]) ).
tff(c_56,plain,
strictly_less_than('#skF_3','#skF_4'),
inference(cnfTransformation,[status(thm)],[f_168]) ).
tff(c_1154,plain,
! [U_129,X_130,V_131,W_132] :
( pair_in_list(update_slb(U_129,X_130),V_131,X_130)
| ~ strictly_less_than(W_132,X_130)
| ~ pair_in_list(U_129,V_131,W_132) ),
inference(cnfTransformation,[status(thm)],[f_158]) ).
tff(c_1164,plain,
! [U_133,V_134] :
( pair_in_list(update_slb(U_133,'#skF_4'),V_134,'#skF_4')
| ~ pair_in_list(U_133,V_134,'#skF_3') ),
inference(resolution,[status(thm)],[c_56,c_1154]) ).
tff(c_54,plain,
~ pair_in_list(update_slb('#skF_1','#skF_4'),'#skF_2','#skF_4'),
inference(cnfTransformation,[status(thm)],[f_168]) ).
tff(c_1167,plain,
~ pair_in_list('#skF_1','#skF_2','#skF_3'),
inference(resolution,[status(thm)],[c_1164,c_54]) ).
tff(c_1175,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_60,c_1167]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWV412+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.12 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.11/0.32 % Computer : n032.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Thu Aug 3 23:08:06 EDT 2023
% 0.11/0.32 % CPUTime :
% 3.82/2.02 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.82/2.03
% 3.82/2.03 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.15/2.05
% 4.15/2.05 Inference rules
% 4.15/2.05 ----------------------
% 4.15/2.05 #Ref : 0
% 4.15/2.05 #Sup : 211
% 4.15/2.05 #Fact : 28
% 4.15/2.05 #Define : 0
% 4.15/2.05 #Split : 0
% 4.15/2.05 #Chain : 0
% 4.15/2.05 #Close : 0
% 4.15/2.05
% 4.15/2.05 Ordering : KBO
% 4.15/2.05
% 4.15/2.05 Simplification rules
% 4.15/2.05 ----------------------
% 4.15/2.05 #Subsume : 81
% 4.15/2.05 #Demod : 92
% 4.15/2.05 #Tautology : 56
% 4.15/2.05 #SimpNegUnit : 4
% 4.15/2.05 #BackRed : 0
% 4.15/2.05
% 4.15/2.05 #Partial instantiations: 0
% 4.15/2.05 #Strategies tried : 1
% 4.15/2.05
% 4.15/2.05 Timing (in seconds)
% 4.15/2.05 ----------------------
% 4.15/2.06 Preprocessing : 0.54
% 4.15/2.06 Parsing : 0.27
% 4.15/2.06 CNF conversion : 0.03
% 4.15/2.06 Main loop : 0.49
% 4.15/2.06 Inferencing : 0.17
% 4.15/2.06 Reduction : 0.14
% 4.15/2.06 Demodulation : 0.10
% 4.15/2.06 BG Simplification : 0.02
% 4.15/2.06 Subsumption : 0.13
% 4.15/2.06 Abstraction : 0.03
% 4.15/2.06 MUC search : 0.00
% 4.15/2.06 Cooper : 0.00
% 4.15/2.06 Total : 1.08
% 4.15/2.06 Index Insertion : 0.00
% 4.15/2.06 Index Deletion : 0.00
% 4.15/2.06 Index Matching : 0.00
% 4.15/2.06 BG Taut test : 0.00
%------------------------------------------------------------------------------