TSTP Solution File: GRP123-1.003 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP123-1.003 : TPTP v8.1.2. Released v1.2.0.
% 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 : 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 10:39:54 EDT 2023
% Result : Unsatisfiable 4.01s 1.93s
% Output : CNFRefutation 4.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 18
% Syntax : Number of formulae : 49 ( 21 unt; 6 typ; 0 def)
% Number of atoms : 96 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 100 ( 47 ~; 53 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 52 (; 52 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ product > equalish > group_element > #nlpp > e_3 > e_2 > e_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(group_element,type,
group_element: $i > $o ).
tff(e_2,type,
e_2: $i ).
tff(product,type,
product: ( $i * $i * $i ) > $o ).
tff(e_3,type,
e_3: $i ).
tff(equalish,type,
equalish: ( $i * $i ) > $o ).
tff(e_1,type,
e_1: $i ).
tff(f_41,axiom,
~ equalish(e_1,e_2),
file(unknown,unknown) ).
tff(f_43,axiom,
~ equalish(e_1,e_3),
file(unknown,unknown) ).
tff(f_37,axiom,
group_element(e_1),
file(unknown,unknown) ).
tff(f_39,axiom,
group_element(e_3),
file(unknown,unknown) ).
tff(f_63,axiom,
! [X,Y] :
( ~ group_element(X)
| ~ group_element(Y)
| product(X,Y,e_1)
| product(X,Y,e_2)
| product(X,Y,e_3) ),
file(unknown,unknown) ).
tff(f_89,axiom,
! [X] : product(X,X,X),
file(unknown,unknown) ).
tff(f_87,axiom,
! [W,Y,X,Z] :
( ~ product(W,Y,X)
| ~ product(Z,Y,X)
| equalish(W,Z) ),
file(unknown,unknown) ).
tff(f_51,axiom,
~ equalish(e_3,e_2),
file(unknown,unknown) ).
tff(f_47,axiom,
~ equalish(e_2,e_3),
file(unknown,unknown) ).
tff(f_38,axiom,
group_element(e_2),
file(unknown,unknown) ).
tff(f_79,axiom,
! [X,W,Y,Z] :
( ~ product(X,W,Y)
| ~ product(X,Z,Y)
| equalish(W,Z) ),
file(unknown,unknown) ).
tff(f_117,axiom,
! [Y1,X1,Z2,Y2,X2,Z1] :
( ~ product(X1,Y1,Z1)
| ~ product(X2,Y2,Z1)
| ~ product(Z2,Y1,X1)
| ~ product(Z2,Y2,X2)
| equalish(Y1,Y2) ),
file(unknown,unknown) ).
tff(c_8,plain,
~ equalish(e_1,e_2),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_10,plain,
~ equalish(e_1,e_3),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_2,plain,
group_element(e_1),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_6,plain,
group_element(e_3),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_64,plain,
! [X_48,Y_49] :
( product(X_48,Y_49,e_3)
| product(X_48,Y_49,e_2)
| product(X_48,Y_49,e_1)
| ~ group_element(Y_49)
| ~ group_element(X_48) ),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_28,plain,
! [X_15] : product(X_15,X_15,X_15),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_34,plain,
! [W_29,Z_30,Y_31,X_32] :
( equalish(W_29,Z_30)
| ~ product(Z_30,Y_31,X_32)
| ~ product(W_29,Y_31,X_32) ),
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_37,plain,
! [W_29,X_15] :
( equalish(W_29,X_15)
| ~ product(W_29,X_15,X_15) ),
inference(resolution,[status(thm)],[c_28,c_34]) ).
tff(c_80,plain,
! [X_48] :
( equalish(X_48,e_3)
| product(X_48,e_3,e_2)
| product(X_48,e_3,e_1)
| ~ group_element(e_3)
| ~ group_element(X_48) ),
inference(resolution,[status(thm)],[c_64,c_37]) ).
tff(c_91,plain,
! [X_48] :
( equalish(X_48,e_3)
| product(X_48,e_3,e_2)
| product(X_48,e_3,e_1)
| ~ group_element(X_48) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_80]) ).
tff(c_18,plain,
~ equalish(e_3,e_2),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_14,plain,
~ equalish(e_2,e_3),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_4,plain,
group_element(e_2),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_291,plain,
! [X_69] :
( equalish(X_69,e_3)
| product(X_69,e_3,e_2)
| product(X_69,e_3,e_1)
| ~ group_element(X_69) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_80]) ).
tff(c_54,plain,
! [W_42,Z_43,X_44,Y_45] :
( equalish(W_42,Z_43)
| ~ product(X_44,Z_43,Y_45)
| ~ product(X_44,W_42,Y_45) ),
inference(cnfTransformation,[status(thm)],[f_79]) ).
tff(c_57,plain,
! [W_42,X_15] :
( equalish(W_42,X_15)
| ~ product(X_15,W_42,X_15) ),
inference(resolution,[status(thm)],[c_28,c_54]) ).
tff(c_299,plain,
( equalish(e_3,e_2)
| equalish(e_2,e_3)
| product(e_2,e_3,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_291,c_57]) ).
tff(c_314,plain,
( equalish(e_3,e_2)
| equalish(e_2,e_3)
| product(e_2,e_3,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_299]) ).
tff(c_315,plain,
product(e_2,e_3,e_1),
inference(negUnitSimplification,[status(thm)],[c_14,c_18,c_314]) ).
tff(c_119,plain,
! [Y2_55,Y1_54,X1_53,Z2_52,X2_56,Z1_51] :
( equalish(Y1_54,Y2_55)
| ~ product(Z2_52,Y2_55,X2_56)
| ~ product(Z2_52,Y1_54,X1_53)
| ~ product(X2_56,Y2_55,Z1_51)
| ~ product(X1_53,Y1_54,Z1_51) ),
inference(cnfTransformation,[status(thm)],[f_117]) ).
tff(c_388,plain,
! [Y1_73,X_74,X1_75,Z1_76] :
( equalish(Y1_73,X_74)
| ~ product(X_74,Y1_73,X1_75)
| ~ product(X_74,X_74,Z1_76)
| ~ product(X1_75,Y1_73,Z1_76) ),
inference(resolution,[status(thm)],[c_28,c_119]) ).
tff(c_390,plain,
! [Z1_76] :
( equalish(e_3,e_2)
| ~ product(e_2,e_2,Z1_76)
| ~ product(e_1,e_3,Z1_76) ),
inference(resolution,[status(thm)],[c_315,c_388]) ).
tff(c_420,plain,
! [Z1_77] :
( ~ product(e_2,e_2,Z1_77)
| ~ product(e_1,e_3,Z1_77) ),
inference(negUnitSimplification,[status(thm)],[c_18,c_390]) ).
tff(c_448,plain,
~ product(e_1,e_3,e_2),
inference(resolution,[status(thm)],[c_28,c_420]) ).
tff(c_482,plain,
( equalish(e_1,e_3)
| product(e_1,e_3,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_91,c_448]) ).
tff(c_485,plain,
( equalish(e_1,e_3)
| product(e_1,e_3,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_482]) ).
tff(c_486,plain,
product(e_1,e_3,e_1),
inference(negUnitSimplification,[status(thm)],[c_10,c_485]) ).
tff(c_26,plain,
! [W_11,Z_14,Y_12,X_13] :
( equalish(W_11,Z_14)
| ~ product(Z_14,Y_12,X_13)
| ~ product(W_11,Y_12,X_13) ),
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_337,plain,
! [W_11] :
( equalish(W_11,e_2)
| ~ product(W_11,e_3,e_1) ),
inference(resolution,[status(thm)],[c_315,c_26]) ).
tff(c_493,plain,
equalish(e_1,e_2),
inference(resolution,[status(thm)],[c_486,c_337]) ).
tff(c_515,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8,c_493]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : GRP123-1.003 : TPTP v8.1.2. Released v1.2.0.
% 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 : 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
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 3 21:55:06 EDT 2023
% 0.15/0.36 % CPUTime :
% 4.01/1.93 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.01/1.94
% 4.01/1.94 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.01/1.97
% 4.01/1.97 Inference rules
% 4.01/1.97 ----------------------
% 4.01/1.97 #Ref : 0
% 4.01/1.97 #Sup : 102
% 4.01/1.97 #Fact : 0
% 4.01/1.97 #Define : 0
% 4.01/1.97 #Split : 0
% 4.01/1.97 #Chain : 0
% 4.01/1.97 #Close : 0
% 4.01/1.97
% 4.01/1.97 Ordering : KBO
% 4.01/1.97
% 4.01/1.97 Simplification rules
% 4.01/1.97 ----------------------
% 4.01/1.97 #Subsume : 3
% 4.01/1.97 #Demod : 57
% 4.01/1.97 #Tautology : 31
% 4.01/1.97 #SimpNegUnit : 28
% 4.01/1.97 #BackRed : 0
% 4.01/1.97
% 4.01/1.97 #Partial instantiations: 0
% 4.01/1.97 #Strategies tried : 1
% 4.01/1.97
% 4.01/1.97 Timing (in seconds)
% 4.01/1.97 ----------------------
% 4.01/1.98 Preprocessing : 0.44
% 4.01/1.98 Parsing : 0.25
% 4.01/1.98 CNF conversion : 0.02
% 4.01/1.98 Main loop : 0.44
% 4.01/1.98 Inferencing : 0.17
% 4.01/1.98 Reduction : 0.11
% 4.01/1.98 Demodulation : 0.07
% 4.01/1.98 BG Simplification : 0.02
% 4.01/1.98 Subsumption : 0.12
% 4.01/1.98 Abstraction : 0.02
% 4.01/1.98 MUC search : 0.00
% 4.01/1.98 Cooper : 0.00
% 4.01/1.98 Total : 0.94
% 4.01/1.98 Index Insertion : 0.00
% 4.01/1.98 Index Deletion : 0.00
% 4.01/1.98 Index Matching : 0.00
% 4.01/1.98 BG Taut test : 0.00
%------------------------------------------------------------------------------