TSTP Solution File: SWV144+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWV144+1 : TPTP v8.1.2. Bugfixed 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 : n002.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 11:03:00 EDT 2023
% Result : Theorem 9.66s 3.20s
% Output : CNFRefutation 9.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 75
% Syntax : Number of formulae : 100 ( 17 unt; 66 typ; 0 def)
% Number of atoms : 80 ( 6 equ)
% Maximal formula atoms : 27 ( 2 avg)
% Number of connectives : 73 ( 27 ~; 13 |; 15 &)
% ( 2 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 160 ( 49 >; 111 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 2 prp; 0-2 aty)
% Number of functors : 61 ( 61 usr; 16 con; 0-8 aty)
% Number of variables : 32 (; 32 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ lt > leq > gt > geq > tptp_update3 > tptp_update2 > tptp_const_array2 > sum > a_select3 > uniform_int_rnd > tptp_msub > tptp_mmul > tptp_madd > tptp_const_array1 > plus > minus > dim > a_select2 > #nlpp > trans > succ > pred > inv > use > true > tptp_minus_1 > tptp_float_0_001 > tptp_float_0_0 > s_worst7 > s_sworst7 > s_best7 > pv1341 > n5 > n4 > n3 > n2 > n1 > n0 > loopcounter > def > #skF_13 > #skF_24 > #skF_17 > #skF_23 > #skF_6 > #skF_19 > #skF_27 > #skF_21 > #skF_25 > #skF_12 > #skF_18 > #skF_3 > #skF_26 > #skF_20 > #skF_11 > #skF_7 > #skF_9 > #skF_15 > #skF_22 > #skF_14 > #skF_2 > #skF_8 > #skF_1 > #skF_5 > #skF_4 > #skF_16 > #skF_10
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_13',type,
'#skF_13': ( $i * $i * $i ) > $i ).
tff('#skF_24',type,
'#skF_24': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(true,type,
true: $o ).
tff('#skF_17',type,
'#skF_17': ( $i * $i * $i * $i ) > $i ).
tff(tptp_const_array2,type,
tptp_const_array2: ( $i * $i * $i ) > $i ).
tff(loopcounter,type,
loopcounter: $i ).
tff('#skF_23',type,
'#skF_23': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_6',type,
'#skF_6': ( $i * $i ) > $i ).
tff(tptp_minus_1,type,
tptp_minus_1: $i ).
tff('#skF_19',type,
'#skF_19': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(tptp_float_0_001,type,
tptp_float_0_001: $i ).
tff('#skF_27',type,
'#skF_27': ( $i * $i * $i * $i ) > $i ).
tff('#skF_21',type,
'#skF_21': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_25',type,
'#skF_25': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_12',type,
'#skF_12': ( $i * $i * $i ) > $i ).
tff('#skF_18',type,
'#skF_18': ( $i * $i * $i * $i ) > $i ).
tff(a_select3,type,
a_select3: ( $i * $i * $i ) > $i ).
tff(tptp_float_0_0,type,
tptp_float_0_0: $i ).
tff(a_select2,type,
a_select2: ( $i * $i ) > $i ).
tff('#skF_3',type,
'#skF_3': ( $i * $i ) > $i ).
tff(trans,type,
trans: $i > $i ).
tff(tptp_update3,type,
tptp_update3: ( $i * $i * $i * $i ) > $i ).
tff(n3,type,
n3: $i ).
tff('#skF_26',type,
'#skF_26': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(use,type,
use: $i ).
tff(inv,type,
inv: $i > $i ).
tff(n1,type,
n1: $i ).
tff(tptp_madd,type,
tptp_madd: ( $i * $i ) > $i ).
tff(plus,type,
plus: ( $i * $i ) > $i ).
tff('#skF_20',type,
'#skF_20': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(n0,type,
n0: $i ).
tff('#skF_11',type,
'#skF_11': ( $i * $i * $i ) > $i ).
tff(s_worst7,type,
s_worst7: $i ).
tff(tptp_update2,type,
tptp_update2: ( $i * $i * $i ) > $i ).
tff(gt,type,
gt: ( $i * $i ) > $o ).
tff('#skF_7',type,
'#skF_7': ( $i * $i * $i ) > $i ).
tff(n4,type,
n4: $i ).
tff(tptp_msub,type,
tptp_msub: ( $i * $i ) > $i ).
tff('#skF_9',type,
'#skF_9': ( $i * $i * $i ) > $i ).
tff(tptp_const_array1,type,
tptp_const_array1: ( $i * $i ) > $i ).
tff('#skF_15',type,
'#skF_15': ( $i * $i * $i ) > $i ).
tff('#skF_22',type,
'#skF_22': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_14',type,
'#skF_14': ( $i * $i * $i ) > $i ).
tff(tptp_mmul,type,
tptp_mmul: ( $i * $i ) > $i ).
tff(uniform_int_rnd,type,
uniform_int_rnd: ( $i * $i ) > $i ).
tff(geq,type,
geq: ( $i * $i ) > $o ).
tff(leq,type,
leq: ( $i * $i ) > $o ).
tff(lt,type,
lt: ( $i * $i ) > $o ).
tff('#skF_2',type,
'#skF_2': ( $i * $i ) > $i ).
tff(def,type,
def: $i ).
tff('#skF_8',type,
'#skF_8': ( $i * $i * $i ) > $i ).
tff(s_best7,type,
s_best7: $i ).
tff(n2,type,
n2: $i ).
tff(s_sworst7,type,
s_sworst7: $i ).
tff(n5,type,
n5: $i ).
tff(pv1341,type,
pv1341: $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff(succ,type,
succ: $i > $i ).
tff(pred,type,
pred: $i > $i ).
tff(sum,type,
sum: ( $i * $i * $i ) > $i ).
tff('#skF_5',type,
'#skF_5': ( $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i ) > $i ).
tff('#skF_16',type,
'#skF_16': ( $i * $i * $i ) > $i ).
tff('#skF_10',type,
'#skF_10': ( $i * $i * $i ) > $i ).
tff(dim,type,
dim: ( $i * $i ) > $i ).
tff(minus,type,
minus: ( $i * $i ) > $i ).
tff(f_540,negated_conjecture,
~ ( ( leq(tptp_float_0_001,pv1341)
& leq(n1,loopcounter)
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(n0,s_best7) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(n0,s_sworst7) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(n0,s_worst7) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_best7,n3) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_sworst7,n3) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_worst7,n3) )
& ( gt(loopcounter,n0)
=> leq(n0,s_best7) )
& ( gt(loopcounter,n0)
=> leq(n0,s_sworst7) )
& ( gt(loopcounter,n0)
=> leq(n0,s_worst7) )
& ( gt(loopcounter,n0)
=> leq(s_best7,n3) )
& ( gt(loopcounter,n0)
=> leq(s_sworst7,n3) )
& ( gt(loopcounter,n0)
=> leq(s_worst7,n3) ) )
=> leq(s_worst7,n3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gauss_array_0014) ).
tff(f_89,axiom,
! [X,Y] :
( geq(X,Y)
<=> leq(Y,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_geq) ).
tff(f_74,axiom,
! [X] : leq(X,X),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',reflexivity_leq) ).
tff(f_631,axiom,
succ(n0) = n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_1) ).
tff(f_112,axiom,
! [X,Y] :
( leq(X,Y)
=> leq(X,succ(Y)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_succ) ).
tff(f_80,axiom,
! [X,Y,Z] :
( ( leq(X,Y)
& leq(Y,Z) )
=> leq(X,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',transitivity_leq) ).
tff(f_101,axiom,
! [X,Y] :
( ( leq(X,Y)
& ( X != Y ) )
=> gt(Y,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_gt2) ).
tff(f_116,axiom,
! [X,Y] :
( leq(X,Y)
<=> gt(succ(Y),X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_succ_gt_equiv) ).
tff(f_71,axiom,
! [X] : ~ gt(X,X),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',irreflexivity_gt) ).
tff(c_538,plain,
leq(n1,loopcounter),
inference(cnfTransformation,[status(thm)],[f_540]) ).
tff(c_1029,plain,
! [X_207,Y_208] :
( geq(X_207,Y_208)
| ~ leq(Y_208,X_207) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_1049,plain,
geq(loopcounter,n1),
inference(resolution,[status(thm)],[c_538,c_1029]) ).
tff(c_512,plain,
~ leq(s_worst7,n3),
inference(cnfTransformation,[status(thm)],[f_540]) ).
tff(c_514,plain,
( leq(s_worst7,n3)
| ~ gt(loopcounter,n0) ),
inference(cnfTransformation,[status(thm)],[f_540]) ).
tff(c_616,plain,
~ gt(loopcounter,n0),
inference(negUnitSimplification,[status(thm)],[c_512,c_514]) ).
tff(c_8,plain,
! [X_7] : leq(X_7,X_7),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_600,plain,
succ(n0) = n1,
inference(cnfTransformation,[status(thm)],[f_631]) ).
tff(c_1341,plain,
! [X_217,Y_218] :
( leq(X_217,succ(Y_218))
| ~ leq(X_217,Y_218) ),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_3546,plain,
! [X_282] :
( leq(X_282,n1)
| ~ leq(X_282,n0) ),
inference(superposition,[status(thm),theory(equality)],[c_600,c_1341]) ).
tff(c_3101,plain,
! [X_264,Z_265,Y_266] :
( leq(X_264,Z_265)
| ~ leq(Y_266,Z_265)
| ~ leq(X_264,Y_266) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_3128,plain,
! [X_264] :
( leq(X_264,loopcounter)
| ~ leq(X_264,n1) ),
inference(resolution,[status(thm)],[c_538,c_3101]) ).
tff(c_3613,plain,
! [X_283] :
( leq(X_283,loopcounter)
| ~ leq(X_283,n0) ),
inference(resolution,[status(thm)],[c_3546,c_3128]) ).
tff(c_3639,plain,
leq(n0,loopcounter),
inference(resolution,[status(thm)],[c_8,c_3613]) ).
tff(c_22,plain,
! [Y_18,X_17] :
( gt(Y_18,X_17)
| ( Y_18 = X_17 )
| ~ leq(X_17,Y_18) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_3644,plain,
( gt(loopcounter,n0)
| ( n0 = loopcounter ) ),
inference(resolution,[status(thm)],[c_3639,c_22]) ).
tff(c_3651,plain,
n0 = loopcounter,
inference(negUnitSimplification,[status(thm)],[c_616,c_3644]) ).
tff(c_16,plain,
! [Y_14,X_13] :
( leq(Y_14,X_13)
| ~ geq(X_13,Y_14) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_1263,plain,
! [Y_214,X_215] :
( gt(succ(Y_214),X_215)
| ~ leq(X_215,Y_214) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_6,plain,
! [X_6] : ~ gt(X_6,X_6),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_1478,plain,
! [Y_222] : ~ leq(succ(Y_222),Y_222),
inference(resolution,[status(thm)],[c_1263,c_6]) ).
tff(c_1520,plain,
~ leq(n1,n0),
inference(superposition,[status(thm),theory(equality)],[c_600,c_1478]) ).
tff(c_1639,plain,
~ geq(n0,n1),
inference(resolution,[status(thm)],[c_16,c_1520]) ).
tff(c_3673,plain,
~ geq(loopcounter,n1),
inference(demodulation,[status(thm),theory(equality)],[c_3651,c_1639]) ).
tff(c_3703,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1049,c_3673]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SWV144+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.00/0.15 % 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
% 0.15/0.36 % Computer : n002.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
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 3 23:24:16 EDT 2023
% 0.15/0.36 % CPUTime :
% 9.66/3.20 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.66/3.21
% 9.66/3.21 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 9.89/3.24
% 9.89/3.24 Inference rules
% 9.89/3.24 ----------------------
% 9.89/3.24 #Ref : 0
% 9.89/3.24 #Sup : 803
% 9.89/3.24 #Fact : 2
% 9.89/3.24 #Define : 0
% 9.89/3.24 #Split : 2
% 9.89/3.24 #Chain : 0
% 9.89/3.24 #Close : 0
% 9.89/3.24
% 9.89/3.24 Ordering : KBO
% 9.89/3.24
% 9.89/3.24 Simplification rules
% 9.89/3.24 ----------------------
% 9.89/3.24 #Subsume : 112
% 9.89/3.24 #Demod : 311
% 9.89/3.24 #Tautology : 243
% 9.89/3.24 #SimpNegUnit : 6
% 9.89/3.24 #BackRed : 89
% 9.89/3.24
% 9.89/3.24 #Partial instantiations: 0
% 9.89/3.24 #Strategies tried : 1
% 9.89/3.24
% 9.89/3.24 Timing (in seconds)
% 9.89/3.24 ----------------------
% 9.89/3.24 Preprocessing : 0.93
% 9.89/3.24 Parsing : 0.37
% 9.89/3.24 CNF conversion : 0.07
% 9.89/3.24 Main loop : 1.22
% 9.89/3.24 Inferencing : 0.28
% 9.89/3.24 Reduction : 0.49
% 9.89/3.24 Demodulation : 0.34
% 9.89/3.24 BG Simplification : 0.12
% 9.89/3.24 Subsumption : 0.29
% 9.89/3.24 Abstraction : 0.07
% 9.89/3.24 MUC search : 0.00
% 9.89/3.24 Cooper : 0.00
% 9.89/3.24 Total : 2.20
% 9.89/3.24 Index Insertion : 0.00
% 9.89/3.24 Index Deletion : 0.00
% 9.89/3.24 Index Matching : 0.00
% 9.89/3.24 BG Taut test : 0.00
%------------------------------------------------------------------------------