TSTP Solution File: SWV365+1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWV365+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 : n021.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 11:03:54 EDT 2023
% Result : Theorem 3.59s 1.94s
% Output : CNFRefutation 3.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 55
% Syntax : Number of formulae : 58 ( 5 unt; 53 typ; 0 def)
% Number of atoms : 5 ( 4 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 76 ( 45 >; 31 *; 0 +; 0 <<)
% Number of predicates : 21 ( 19 usr; 1 prp; 0-3 aty)
% Number of functors : 34 ( 34 usr; 8 con; 0-3 aty)
% Number of variables : 8 (; 8 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ pair_in_list > succ_cpq > strictly_less_than > pi_sharp_removemin > pi_sharp_remove > pi_sharp_find_min > pi_remove > less_than > issmallestelement_pq > contains_slb > contains_pq > contains_cpq > pi_removemin > pi_find_min > phi > ok > isnonempty_slb > isnonempty_pq > check_cpq > triple > update_slb > removemin_pq_res > removemin_pq_eff > remove_slb > remove_pqp > remove_pq > remove_cpq > pair > lookup_slb > insert_slb > insert_pqp > insert_pq > insert_cpq > findmin_pq_res > findmin_pq_eff > #nlpp > removemin_cpq_res > removemin_cpq_eff > i > findmin_pqp_res > findmin_cpq_res > findmin_cpq_eff > create_slb > create_pq > bottom > bad > #skF_2 > #skF_4 > #skF_7 > #skF_5 > #skF_6 > #skF_8 > #skF_3 > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(bad,type,
bad: $i ).
tff(insert_cpq,type,
insert_cpq: ( $i * $i ) > $i ).
tff(pi_sharp_find_min,type,
pi_sharp_find_min: ( $i * $i ) > $o ).
tff(pi_remove,type,
pi_remove: ( $i * $i ) > $o ).
tff('#skF_2',type,
'#skF_2': $i > $i ).
tff('#skF_4',type,
'#skF_4': $i > $i ).
tff(succ_cpq,type,
succ_cpq: ( $i * $i ) > $o ).
tff(insert_pq,type,
insert_pq: ( $i * $i ) > $i ).
tff(pi_find_min,type,
pi_find_min: $i > $o ).
tff(i,type,
i: $i > $i ).
tff(remove_cpq,type,
remove_cpq: ( $i * $i ) > $i ).
tff(pi_sharp_removemin,type,
pi_sharp_removemin: ( $i * $i ) > $o ).
tff(pi_sharp_remove,type,
pi_sharp_remove: ( $i * $i ) > $o ).
tff(contains_slb,type,
contains_slb: ( $i * $i ) > $o ).
tff(contains_pq,type,
contains_pq: ( $i * $i ) > $o ).
tff(findmin_pq_eff,type,
findmin_pq_eff: ( $i * $i ) > $i ).
tff(lookup_slb,type,
lookup_slb: ( $i * $i ) > $i ).
tff(pi_removemin,type,
pi_removemin: $i > $o ).
tff('#skF_7',type,
'#skF_7': $i ).
tff(phi,type,
phi: $i > $o ).
tff(pair_in_list,type,
pair_in_list: ( $i * $i * $i ) > $o ).
tff(isnonempty_pq,type,
isnonempty_pq: $i > $o ).
tff(findmin_pq_res,type,
findmin_pq_res: ( $i * $i ) > $i ).
tff('#skF_5',type,
'#skF_5': $i ).
tff(less_than,type,
less_than: ( $i * $i ) > $o ).
tff('#skF_6',type,
'#skF_6': $i ).
tff(issmallestelement_pq,type,
issmallestelement_pq: ( $i * $i ) > $o ).
tff(contains_cpq,type,
contains_cpq: ( $i * $i ) > $o ).
tff(strictly_less_than,type,
strictly_less_than: ( $i * $i ) > $o ).
tff(pair,type,
pair: ( $i * $i ) > $i ).
tff(ok,type,
ok: $i > $o ).
tff(insert_pqp,type,
insert_pqp: ( $i * $i ) > $i ).
tff(remove_pq,type,
remove_pq: ( $i * $i ) > $i ).
tff(findmin_pqp_res,type,
findmin_pqp_res: $i > $i ).
tff(remove_pqp,type,
remove_pqp: ( $i * $i ) > $i ).
tff(bottom,type,
bottom: $i ).
tff(removemin_pq_res,type,
removemin_pq_res: ( $i * $i ) > $i ).
tff('#skF_8',type,
'#skF_8': $i ).
tff(triple,type,
triple: ( $i * $i * $i ) > $i ).
tff(create_pq,type,
create_pq: $i ).
tff(removemin_cpq_res,type,
removemin_cpq_res: $i > $i ).
tff('#skF_3',type,
'#skF_3': $i > $i ).
tff(isnonempty_slb,type,
isnonempty_slb: $i > $o ).
tff(check_cpq,type,
check_cpq: $i > $o ).
tff(remove_slb,type,
remove_slb: ( $i * $i ) > $i ).
tff(findmin_cpq_eff,type,
findmin_cpq_eff: $i > $i ).
tff(removemin_cpq_eff,type,
removemin_cpq_eff: $i > $i ).
tff(create_slb,type,
create_slb: $i ).
tff(removemin_pq_eff,type,
removemin_pq_eff: ( $i * $i ) > $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff(findmin_cpq_res,type,
findmin_cpq_res: $i > $i ).
tff(insert_slb,type,
insert_slb: ( $i * $i ) > $i ).
tff(update_slb,type,
update_slb: ( $i * $i ) > $i ).
tff(f_389,axiom,
! [U,V] : ( i(triple(U,create_slb,V)) = create_pq ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+4.ax',ax54) ).
tff(f_439,negated_conjecture,
~ ! [U,V,X,Y] : ( i(triple(U,create_slb,X)) = i(triple(V,create_slb,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l1_co) ).
tff(c_134,plain,
! [U_145,V_146] : ( i(triple(U_145,create_slb,V_146)) = create_pq ),
inference(cnfTransformation,[status(thm)],[f_389]) ).
tff(c_174,plain,
i(triple('#skF_5',create_slb,'#skF_7')) != i(triple('#skF_6',create_slb,'#skF_8')),
inference(cnfTransformation,[status(thm)],[f_439]) ).
tff(c_176,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_134,c_134,c_174]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV365+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % 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
% 0.14/0.34 % Computer : n021.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu Aug 3 22:56:52 EDT 2023
% 0.14/0.34 % CPUTime :
% 3.59/1.94 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.59/1.94
% 3.59/1.94 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.83/1.97
% 3.83/1.97 Inference rules
% 3.83/1.97 ----------------------
% 3.83/1.97 #Ref : 0
% 3.83/1.97 #Sup : 0
% 3.83/1.97 #Fact : 0
% 3.83/1.97 #Define : 0
% 3.83/1.97 #Split : 0
% 3.83/1.97 #Chain : 0
% 3.83/1.97 #Close : 0
% 3.83/1.97
% 3.83/1.97 Ordering : KBO
% 3.83/1.97
% 3.83/1.97 Simplification rules
% 3.83/1.97 ----------------------
% 3.83/1.97 #Subsume : 86
% 3.83/1.97 #Demod : 2
% 3.83/1.97 #Tautology : 0
% 3.83/1.97 #SimpNegUnit : 0
% 3.83/1.97 #BackRed : 0
% 3.83/1.97
% 3.83/1.97 #Partial instantiations: 0
% 3.83/1.97 #Strategies tried : 1
% 3.83/1.97
% 3.83/1.97 Timing (in seconds)
% 3.83/1.97 ----------------------
% 3.83/1.97 Preprocessing : 0.69
% 3.83/1.97 Parsing : 0.36
% 3.83/1.97 CNF conversion : 0.05
% 3.83/1.97 Main loop : 0.09
% 3.83/1.97 Inferencing : 0.00
% 3.83/1.97 Reduction : 0.04
% 3.83/1.97 Demodulation : 0.03
% 3.83/1.97 BG Simplification : 0.03
% 3.83/1.97 Subsumption : 0.04
% 3.83/1.97 Abstraction : 0.01
% 3.83/1.97 MUC search : 0.00
% 3.83/1.97 Cooper : 0.00
% 3.83/1.97 Total : 0.83
% 3.83/1.97 Index Insertion : 0.00
% 3.83/1.97 Index Deletion : 0.00
% 3.83/1.97 Index Matching : 0.00
% 3.83/1.97 BG Taut test : 0.00
%------------------------------------------------------------------------------