TSTP Solution File: SYN621-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN621-1 : TPTP v8.1.2. Released v2.5.0.
% 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 : n023.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 11:11:27 EDT 2023
% Result : Unsatisfiable 16.03s 6.53s
% Output : CNFRefutation 16.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 33
% Syntax : Number of formulae : 45 ( 7 unt; 27 typ; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 29 ( 14 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 39 ( 21 >; 18 *; 0 +; 0 <<)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 6 con; 0-4 aty)
% Number of variables : 32 (; 32 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ p8 > p7 > p4 > p22 > p21 > p2 > p13 > p10 > f20 > f9 > f6 > f19 > f15 > f12 > f11 > #nlpp > f5 > f3 > f18 > f17 > f16 > f14 > c28 > c27 > c26 > c25 > c24 > c23
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(f3,type,
f3: $i > $i ).
tff(f11,type,
f11: ( $i * $i ) > $i ).
tff(p4,type,
p4: ( $i * $i ) > $o ).
tff(f18,type,
f18: $i > $i ).
tff(f19,type,
f19: ( $i * $i ) > $i ).
tff(p22,type,
p22: ( $i * $i ) > $o ).
tff(f12,type,
f12: ( $i * $i ) > $i ).
tff(p13,type,
p13: ( $i * $i ) > $o ).
tff(f17,type,
f17: $i > $i ).
tff(p2,type,
p2: ( $i * $i ) > $o ).
tff(c26,type,
c26: $i ).
tff(f14,type,
f14: $i > $i ).
tff(f20,type,
f20: ( $i * $i * $i * $i ) > $i ).
tff(p21,type,
p21: ( $i * $i ) > $o ).
tff(c23,type,
c23: $i ).
tff(p8,type,
p8: ( $i * $i ) > $o ).
tff(c27,type,
c27: $i ).
tff(f9,type,
f9: ( $i * $i * $i ) > $i ).
tff(f16,type,
f16: $i > $i ).
tff(f5,type,
f5: $i > $i ).
tff(c25,type,
c25: $i ).
tff(p10,type,
p10: ( $i * $i ) > $o ).
tff(f15,type,
f15: ( $i * $i ) > $i ).
tff(c28,type,
c28: $i ).
tff(p7,type,
p7: ( $i * $i ) > $o ).
tff(f6,type,
f6: ( $i * $i ) > $i ).
tff(c24,type,
c24: $i ).
tff(f_35,axiom,
~ p2(c23,f3(c24)),
file(unknown,unknown) ).
tff(f_187,axiom,
! [X15,X17,X18,X16] :
( p2(X15,f3(c24))
| p22(f20(X17,X15,X18,X16),f14(f11(X17,f12(X15,X18)))) ),
file(unknown,unknown) ).
tff(f_217,axiom,
! [X33] :
( p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f5(f6(c27,X33)))
| ~ p22(X33,f14(f11(c25,f12(c23,c26)))) ),
file(unknown,unknown) ).
tff(f_230,axiom,
! [X15,X16,X17,X18] :
( p2(X15,f3(c24))
| p21(f5(f6(X16,f20(X17,X15,X18,X16))),f15(f19(f11(X17,f12(X15,X18)),X16),f16(f3(f17(f18(c24)))))) ),
file(unknown,unknown) ).
tff(f_105,axiom,
! [X30,X31,X32] :
( p21(X30,X31)
| ~ p21(X30,X32)
| ~ p21(X32,X31) ),
file(unknown,unknown) ).
tff(f_219,axiom,
~ p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f15(f19(f11(c25,f12(c23,c26)),c27),f16(f3(f17(f18(c24)))))),
file(unknown,unknown) ).
tff(c_14,plain,
~ p2(c23,f3(c24)),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_56,plain,
! [X17_69,X15_68,X18_70,X16_71] :
( p22(f20(X17_69,X15_68,X18_70,X16_71),f14(f11(X17_69,f12(X15_68,X18_70))))
| p2(X15_68,f3(c24)) ),
inference(cnfTransformation,[status(thm)],[f_187]) ).
tff(c_62,plain,
! [X33_86] :
( ~ p22(X33_86,f14(f11(c25,f12(c23,c26))))
| p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f5(f6(c27,X33_86))) ),
inference(cnfTransformation,[status(thm)],[f_217]) ).
tff(c_1297,plain,
! [X16_373,X17_374,X15_375,X18_376] :
( p21(f5(f6(X16_373,f20(X17_374,X15_375,X18_376,X16_373))),f15(f19(f11(X17_374,f12(X15_375,X18_376)),X16_373),f16(f3(f17(f18(c24))))))
| p2(X15_375,f3(c24)) ),
inference(cnfTransformation,[status(thm)],[f_230]) ).
tff(c_36,plain,
! [X32_33,X31_32,X30_31] :
( ~ p21(X32_33,X31_32)
| ~ p21(X30_31,X32_33)
| p21(X30_31,X31_32) ),
inference(cnfTransformation,[status(thm)],[f_105]) ).
tff(c_5891,plain,
! [X16_696,X18_692,X17_695,X15_693,X30_694] :
( ~ p21(X30_694,f5(f6(X16_696,f20(X17_695,X15_693,X18_692,X16_696))))
| p21(X30_694,f15(f19(f11(X17_695,f12(X15_693,X18_692)),X16_696),f16(f3(f17(f18(c24))))))
| p2(X15_693,f3(c24)) ),
inference(resolution,[status(thm)],[c_1297,c_36]) ).
tff(c_23799,plain,
! [X17_1474,X15_1475,X18_1476] :
( p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f15(f19(f11(X17_1474,f12(X15_1475,X18_1476)),c27),f16(f3(f17(f18(c24))))))
| p2(X15_1475,f3(c24))
| ~ p22(f20(X17_1474,X15_1475,X18_1476,c27),f14(f11(c25,f12(c23,c26)))) ),
inference(resolution,[status(thm)],[c_62,c_5891]) ).
tff(c_64,plain,
~ p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f15(f19(f11(c25,f12(c23,c26)),c27),f16(f3(f17(f18(c24)))))),
inference(cnfTransformation,[status(thm)],[f_219]) ).
tff(c_23802,plain,
( p2(c23,f3(c24))
| ~ p22(f20(c25,c23,c26,c27),f14(f11(c25,f12(c23,c26)))) ),
inference(resolution,[status(thm)],[c_23799,c_64]) ).
tff(c_23809,plain,
~ p22(f20(c25,c23,c26,c27),f14(f11(c25,f12(c23,c26)))),
inference(negUnitSimplification,[status(thm)],[c_14,c_23802]) ).
tff(c_23814,plain,
p2(c23,f3(c24)),
inference(resolution,[status(thm)],[c_56,c_23809]) ).
tff(c_23818,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14,c_23814]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SYN621-1 : TPTP v8.1.2. Released v2.5.0.
% 0.15/0.14 % 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 : n023.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 17:43:07 EDT 2023
% 0.15/0.36 % CPUTime :
% 16.03/6.53 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.03/6.54
% 16.03/6.54 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 16.03/6.57
% 16.03/6.57 Inference rules
% 16.03/6.57 ----------------------
% 16.03/6.57 #Ref : 0
% 16.03/6.57 #Sup : 7667
% 16.03/6.57 #Fact : 0
% 16.03/6.57 #Define : 0
% 16.03/6.57 #Split : 0
% 16.03/6.57 #Chain : 0
% 16.03/6.57 #Close : 0
% 16.03/6.57
% 16.03/6.57 Ordering : KBO
% 16.03/6.57
% 16.03/6.57 Simplification rules
% 16.03/6.57 ----------------------
% 16.03/6.57 #Subsume : 629
% 16.03/6.57 #Demod : 6
% 16.03/6.57 #Tautology : 7
% 16.03/6.57 #SimpNegUnit : 2
% 16.03/6.57 #BackRed : 0
% 16.03/6.57
% 16.03/6.57 #Partial instantiations: 0
% 16.03/6.57 #Strategies tried : 1
% 16.03/6.57
% 16.03/6.57 Timing (in seconds)
% 16.03/6.57 ----------------------
% 16.03/6.58 Preprocessing : 0.51
% 16.03/6.58 Parsing : 0.29
% 16.03/6.58 CNF conversion : 0.03
% 16.03/6.58 Main loop : 5.00
% 16.03/6.58 Inferencing : 0.77
% 16.03/6.58 Reduction : 0.72
% 16.03/6.58 Demodulation : 0.44
% 16.03/6.58 BG Simplification : 0.08
% 16.03/6.58 Subsumption : 3.09
% 16.03/6.58 Abstraction : 0.08
% 16.03/6.58 MUC search : 0.00
% 16.03/6.58 Cooper : 0.00
% 16.03/6.58 Total : 5.56
% 16.03/6.58 Index Insertion : 0.00
% 16.03/6.58 Index Deletion : 0.00
% 16.03/6.58 Index Matching : 0.00
% 16.03/6.58 BG Taut test : 0.00
%------------------------------------------------------------------------------