TSTP Solution File: GRP124-1.004 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP124-1.004 : 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 : n031.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 10:39:55 EDT 2023
% Result : Unsatisfiable 5.96s 2.35s
% Output : CNFRefutation 5.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 27
% Syntax : Number of formulae : 133 ( 68 unt; 7 typ; 0 def)
% Number of atoms : 273 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 252 ( 105 ~; 147 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 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 : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 88 (; 88 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ product > equalish > group_element > #nlpp > e_4 > 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_4,type,
e_4: $i ).
tff(e_3,type,
e_3: $i ).
tff(equalish,type,
equalish: ( $i * $i ) > $o ).
tff(e_1,type,
e_1: $i ).
tff(f_55,axiom,
~ equalish(e_3,e_2),
file(unknown,unknown) ).
tff(f_49,axiom,
~ equalish(e_2,e_3),
file(unknown,unknown) ).
tff(f_63,axiom,
~ equalish(e_4,e_3),
file(unknown,unknown) ).
tff(f_51,axiom,
~ equalish(e_2,e_4),
file(unknown,unknown) ).
tff(f_37,axiom,
group_element(e_2),
file(unknown,unknown) ).
tff(f_103,axiom,
! [X] : product(X,X,X),
file(unknown,unknown) ).
tff(f_39,axiom,
group_element(e_4),
file(unknown,unknown) ).
tff(f_77,axiom,
! [X,Y] :
( ~ group_element(X)
| ~ group_element(Y)
| product(X,Y,e_1)
| product(X,Y,e_2)
| product(X,Y,e_3)
| product(X,Y,e_4) ),
file(unknown,unknown) ).
tff(f_93,axiom,
! [X,W,Y,Z] :
( ~ product(X,W,Y)
| ~ product(X,Z,Y)
| equalish(W,Z) ),
file(unknown,unknown) ).
tff(f_61,axiom,
~ equalish(e_4,e_2),
file(unknown,unknown) ).
tff(f_57,axiom,
~ equalish(e_3,e_4),
file(unknown,unknown) ).
tff(f_38,axiom,
group_element(e_3),
file(unknown,unknown) ).
tff(f_101,axiom,
! [W,Y,X,Z] :
( ~ product(W,Y,X)
| ~ product(Z,Y,X)
| equalish(W,Z) ),
file(unknown,unknown) ).
tff(f_59,axiom,
~ equalish(e_4,e_1),
file(unknown,unknown) ).
tff(f_43,axiom,
~ equalish(e_1,e_3),
file(unknown,unknown) ).
tff(f_45,axiom,
~ equalish(e_1,e_4),
file(unknown,unknown) ).
tff(f_36,axiom,
group_element(e_1),
file(unknown,unknown) ).
tff(f_131,axiom,
! [Y1,X1,Z2,Y2,X2,Z1] :
( ~ product(X1,Y1,Z1)
| ~ product(X2,Y2,Z1)
| ~ product(Z2,X1,Y1)
| ~ product(Z2,X2,Y2)
| equalish(Y1,Y2) ),
file(unknown,unknown) ).
tff(f_53,axiom,
~ equalish(e_3,e_1),
file(unknown,unknown) ).
tff(f_117,axiom,
! [Y1,X1,Z2,Y2,X2,Z1] :
( ~ product(X1,Y1,Z1)
| ~ product(X2,Y2,Z1)
| ~ product(Z2,X1,Y1)
| ~ product(Z2,X2,Y2)
| equalish(X1,X2) ),
file(unknown,unknown) ).
tff(c_24,plain,
~ equalish(e_3,e_2),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_18,plain,
~ equalish(e_2,e_3),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_32,plain,
~ equalish(e_4,e_3),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_20,plain,
~ equalish(e_2,e_4),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_4,plain,
group_element(e_2),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_42,plain,
! [X_15] : product(X_15,X_15,X_15),
inference(cnfTransformation,[status(thm)],[f_103]) ).
tff(c_8,plain,
group_element(e_4),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_96,plain,
! [X_68,Y_69] :
( product(X_68,Y_69,e_4)
| product(X_68,Y_69,e_3)
| product(X_68,Y_69,e_2)
| product(X_68,Y_69,e_1)
| ~ group_element(Y_69)
| ~ group_element(X_68) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_48,plain,
! [W_29,Z_30,X_31,Y_32] :
( equalish(W_29,Z_30)
| ~ product(X_31,Z_30,Y_32)
| ~ product(X_31,W_29,Y_32) ),
inference(cnfTransformation,[status(thm)],[f_93]) ).
tff(c_51,plain,
! [W_29,X_15] :
( equalish(W_29,X_15)
| ~ product(X_15,W_29,X_15) ),
inference(resolution,[status(thm)],[c_42,c_48]) ).
tff(c_120,plain,
! [Y_69] :
( equalish(Y_69,e_4)
| product(e_4,Y_69,e_3)
| product(e_4,Y_69,e_2)
| product(e_4,Y_69,e_1)
| ~ group_element(Y_69)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_96,c_51]) ).
tff(c_135,plain,
! [Y_69] :
( equalish(Y_69,e_4)
| product(e_4,Y_69,e_3)
| product(e_4,Y_69,e_2)
| product(e_4,Y_69,e_1)
| ~ group_element(Y_69) ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_120]) ).
tff(c_30,plain,
~ equalish(e_4,e_2),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_26,plain,
~ equalish(e_3,e_4),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_6,plain,
group_element(e_3),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_57,plain,
! [W_35,Z_36,Y_37,X_38] :
( equalish(W_35,Z_36)
| ~ product(Z_36,Y_37,X_38)
| ~ product(W_35,Y_37,X_38) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_60,plain,
! [W_35,X_15] :
( equalish(W_35,X_15)
| ~ product(W_35,X_15,X_15) ),
inference(resolution,[status(thm)],[c_42,c_57]) ).
tff(c_114,plain,
! [X_68] :
( equalish(X_68,e_4)
| product(X_68,e_4,e_3)
| product(X_68,e_4,e_2)
| product(X_68,e_4,e_1)
| ~ group_element(e_4)
| ~ group_element(X_68) ),
inference(resolution,[status(thm)],[c_96,c_60]) ).
tff(c_1766,plain,
! [X_151] :
( equalish(X_151,e_4)
| product(X_151,e_4,e_3)
| product(X_151,e_4,e_2)
| product(X_151,e_4,e_1)
| ~ group_element(X_151) ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_114]) ).
tff(c_1808,plain,
( equalish(e_4,e_3)
| equalish(e_3,e_4)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_1766,c_51]) ).
tff(c_1850,plain,
( equalish(e_4,e_3)
| equalish(e_3,e_4)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_1808]) ).
tff(c_1851,plain,
( product(e_3,e_4,e_2)
| product(e_3,e_4,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_26,c_32,c_1850]) ).
tff(c_1853,plain,
product(e_3,e_4,e_1),
inference(splitLeft,[status(thm)],[c_1851]) ).
tff(c_34,plain,
! [X_1,Y_2] :
( product(X_1,Y_2,e_4)
| product(X_1,Y_2,e_3)
| product(X_1,Y_2,e_2)
| product(X_1,Y_2,e_1)
| ~ group_element(Y_2)
| ~ group_element(X_1) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_28,plain,
~ equalish(e_4,e_1),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_12,plain,
~ equalish(e_1,e_3),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_14,plain,
~ equalish(e_1,e_4),
inference(cnfTransformation,[status(thm)],[f_45]) ).
tff(c_2,plain,
group_element(e_1),
inference(cnfTransformation,[status(thm)],[f_36]) ).
tff(c_845,plain,
! [X_104] :
( equalish(X_104,e_4)
| product(X_104,e_4,e_3)
| product(X_104,e_4,e_2)
| product(X_104,e_4,e_1)
| ~ group_element(X_104) ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_114]) ).
tff(c_883,plain,
( equalish(e_4,e_3)
| equalish(e_3,e_4)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_845,c_51]) ).
tff(c_921,plain,
( equalish(e_4,e_3)
| equalish(e_3,e_4)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_883]) ).
tff(c_922,plain,
( product(e_3,e_4,e_2)
| product(e_3,e_4,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_26,c_32,c_921]) ).
tff(c_970,plain,
product(e_3,e_4,e_1),
inference(splitLeft,[status(thm)],[c_922]) ).
tff(c_78,plain,
! [Z2_49,X2_53,X1_50,Y1_51,Y2_52,Z1_48] :
( equalish(Y1_51,Y2_52)
| ~ product(Z2_49,X2_53,Y2_52)
| ~ product(Z2_49,X1_50,Y1_51)
| ~ product(X2_53,Y2_52,Z1_48)
| ~ product(X1_50,Y1_51,Z1_48) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_81,plain,
! [Y1_51,X_15,X1_50,Z1_48] :
( equalish(Y1_51,X_15)
| ~ product(X_15,X1_50,Y1_51)
| ~ product(X_15,X_15,Z1_48)
| ~ product(X1_50,Y1_51,Z1_48) ),
inference(resolution,[status(thm)],[c_42,c_78]) ).
tff(c_982,plain,
! [Z1_48] :
( equalish(e_1,e_3)
| ~ product(e_3,e_3,Z1_48)
| ~ product(e_4,e_1,Z1_48) ),
inference(resolution,[status(thm)],[c_970,c_81]) ).
tff(c_1068,plain,
! [Z1_113] :
( ~ product(e_3,e_3,Z1_113)
| ~ product(e_4,e_1,Z1_113) ),
inference(negUnitSimplification,[status(thm)],[c_12,c_982]) ).
tff(c_1072,plain,
( ~ product(e_3,e_3,e_3)
| equalish(e_1,e_4)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_135,c_1068]) ).
tff(c_1079,plain,
( equalish(e_1,e_4)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_42,c_1072]) ).
tff(c_1080,plain,
( product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_14,c_1079]) ).
tff(c_1084,plain,
product(e_4,e_1,e_1),
inference(splitLeft,[status(thm)],[c_1080]) ).
tff(c_288,plain,
! [Y_74] :
( equalish(Y_74,e_4)
| product(e_4,Y_74,e_3)
| product(e_4,Y_74,e_2)
| product(e_4,Y_74,e_1)
| ~ group_element(Y_74) ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_120]) ).
tff(c_306,plain,
( equalish(e_4,e_3)
| equalish(e_3,e_4)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_288,c_60]) ).
tff(c_324,plain,
( equalish(e_4,e_3)
| equalish(e_3,e_4)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_306]) ).
tff(c_325,plain,
( product(e_4,e_3,e_2)
| product(e_4,e_3,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_26,c_32,c_324]) ).
tff(c_328,plain,
product(e_4,e_3,e_1),
inference(splitLeft,[status(thm)],[c_325]) ).
tff(c_38,plain,
! [W_8,Z_10,X_7,Y_9] :
( equalish(W_8,Z_10)
| ~ product(X_7,Z_10,Y_9)
| ~ product(X_7,W_8,Y_9) ),
inference(cnfTransformation,[status(thm)],[f_93]) ).
tff(c_363,plain,
! [W_8] :
( equalish(W_8,e_3)
| ~ product(e_4,W_8,e_1) ),
inference(resolution,[status(thm)],[c_328,c_38]) ).
tff(c_1098,plain,
equalish(e_1,e_3),
inference(resolution,[status(thm)],[c_1084,c_363]) ).
tff(c_1133,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12,c_1098]) ).
tff(c_1134,plain,
product(e_4,e_1,e_2),
inference(splitRight,[status(thm)],[c_1080]) ).
tff(c_22,plain,
~ equalish(e_3,e_1),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_342,plain,
! [Z1_48] :
( equalish(e_1,e_4)
| ~ product(e_4,e_4,Z1_48)
| ~ product(e_3,e_1,Z1_48) ),
inference(resolution,[status(thm)],[c_328,c_81]) ).
tff(c_414,plain,
! [Z1_81] :
( ~ product(e_4,e_4,Z1_81)
| ~ product(e_3,e_1,Z1_81) ),
inference(negUnitSimplification,[status(thm)],[c_14,c_342]) ).
tff(c_456,plain,
~ product(e_3,e_1,e_4),
inference(resolution,[status(thm)],[c_42,c_414]) ).
tff(c_459,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| ~ group_element(e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_34,c_456]) ).
tff(c_462,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_2,c_459]) ).
tff(c_463,plain,
product(e_3,e_1,e_1),
inference(splitLeft,[status(thm)],[c_462]) ).
tff(c_476,plain,
equalish(e_3,e_1),
inference(resolution,[status(thm)],[c_463,c_60]) ).
tff(c_493,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_22,c_476]) ).
tff(c_494,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(splitRight,[status(thm)],[c_462]) ).
tff(c_528,plain,
product(e_3,e_1,e_3),
inference(splitLeft,[status(thm)],[c_494]) ).
tff(c_545,plain,
equalish(e_1,e_3),
inference(resolution,[status(thm)],[c_528,c_51]) ).
tff(c_564,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12,c_545]) ).
tff(c_565,plain,
product(e_3,e_1,e_2),
inference(splitRight,[status(thm)],[c_494]) ).
tff(c_40,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_101]) ).
tff(c_639,plain,
! [W_11] :
( equalish(W_11,e_3)
| ~ product(W_11,e_1,e_2) ),
inference(resolution,[status(thm)],[c_565,c_40]) ).
tff(c_1186,plain,
equalish(e_4,e_3),
inference(resolution,[status(thm)],[c_1134,c_639]) ).
tff(c_1219,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_32,c_1186]) ).
tff(c_1220,plain,
product(e_3,e_4,e_2),
inference(splitRight,[status(thm)],[c_922]) ).
tff(c_640,plain,
! [W_8] :
( equalish(W_8,e_1)
| ~ product(e_3,W_8,e_2) ),
inference(resolution,[status(thm)],[c_565,c_38]) ).
tff(c_1230,plain,
equalish(e_4,e_1),
inference(resolution,[status(thm)],[c_1220,c_640]) ).
tff(c_1259,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28,c_1230]) ).
tff(c_1260,plain,
product(e_4,e_3,e_2),
inference(splitRight,[status(thm)],[c_325]) ).
tff(c_82,plain,
! [Y1_57,Y2_58,Z1_54,X1_56,X2_59,Z2_55] :
( equalish(X1_56,X2_59)
| ~ product(Z2_55,X2_59,Y2_58)
| ~ product(Z2_55,X1_56,Y1_57)
| ~ product(X2_59,Y2_58,Z1_54)
| ~ product(X1_56,Y1_57,Z1_54) ),
inference(cnfTransformation,[status(thm)],[f_117]) ).
tff(c_85,plain,
! [X1_56,X_15,Y1_57,Z1_54] :
( equalish(X1_56,X_15)
| ~ product(X_15,X1_56,Y1_57)
| ~ product(X_15,X_15,Z1_54)
| ~ product(X1_56,Y1_57,Z1_54) ),
inference(resolution,[status(thm)],[c_42,c_82]) ).
tff(c_1297,plain,
! [Z1_54] :
( equalish(e_3,e_4)
| ~ product(e_4,e_4,Z1_54)
| ~ product(e_3,e_2,Z1_54) ),
inference(resolution,[status(thm)],[c_1260,c_85]) ).
tff(c_1381,plain,
! [Z1_127] :
( ~ product(e_4,e_4,Z1_127)
| ~ product(e_3,e_2,Z1_127) ),
inference(negUnitSimplification,[status(thm)],[c_26,c_1297]) ).
tff(c_1423,plain,
~ product(e_3,e_2,e_4),
inference(resolution,[status(thm)],[c_42,c_1381]) ).
tff(c_1426,plain,
( product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_34,c_1423]) ).
tff(c_1429,plain,
( product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_4,c_1426]) ).
tff(c_1455,plain,
product(e_3,e_2,e_1),
inference(splitLeft,[status(thm)],[c_1429]) ).
tff(c_1480,plain,
! [W_8] :
( equalish(W_8,e_2)
| ~ product(e_3,W_8,e_1) ),
inference(resolution,[status(thm)],[c_1455,c_38]) ).
tff(c_1862,plain,
equalish(e_4,e_2),
inference(resolution,[status(thm)],[c_1853,c_1480]) ).
tff(c_1889,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_30,c_1862]) ).
tff(c_1890,plain,
product(e_3,e_4,e_2),
inference(splitRight,[status(thm)],[c_1851]) ).
tff(c_1902,plain,
! [Z1_48] :
( equalish(e_2,e_3)
| ~ product(e_3,e_3,Z1_48)
| ~ product(e_4,e_2,Z1_48) ),
inference(resolution,[status(thm)],[c_1890,c_81]) ).
tff(c_2023,plain,
! [Z1_160] :
( ~ product(e_3,e_3,Z1_160)
| ~ product(e_4,e_2,Z1_160) ),
inference(negUnitSimplification,[status(thm)],[c_18,c_1902]) ).
tff(c_2027,plain,
( ~ product(e_3,e_3,e_3)
| equalish(e_2,e_4)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_135,c_2023]) ).
tff(c_2034,plain,
( equalish(e_2,e_4)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_42,c_2027]) ).
tff(c_2035,plain,
( product(e_4,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_20,c_2034]) ).
tff(c_2039,plain,
product(e_4,e_2,e_1),
inference(splitLeft,[status(thm)],[c_2035]) ).
tff(c_1479,plain,
! [W_11] :
( equalish(W_11,e_3)
| ~ product(W_11,e_2,e_1) ),
inference(resolution,[status(thm)],[c_1455,c_40]) ).
tff(c_2072,plain,
equalish(e_4,e_3),
inference(resolution,[status(thm)],[c_2039,c_1479]) ).
tff(c_2105,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_32,c_2072]) ).
tff(c_2106,plain,
product(e_4,e_2,e_2),
inference(splitRight,[status(thm)],[c_2035]) ).
tff(c_1320,plain,
! [W_8] :
( equalish(W_8,e_3)
| ~ product(e_4,W_8,e_2) ),
inference(resolution,[status(thm)],[c_1260,c_38]) ).
tff(c_2121,plain,
equalish(e_2,e_3),
inference(resolution,[status(thm)],[c_2106,c_1320]) ).
tff(c_2155,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_18,c_2121]) ).
tff(c_2156,plain,
( product(e_3,e_2,e_2)
| product(e_3,e_2,e_3) ),
inference(splitRight,[status(thm)],[c_1429]) ).
tff(c_2158,plain,
product(e_3,e_2,e_3),
inference(splitLeft,[status(thm)],[c_2156]) ).
tff(c_2173,plain,
equalish(e_2,e_3),
inference(resolution,[status(thm)],[c_2158,c_51]) ).
tff(c_2188,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_18,c_2173]) ).
tff(c_2189,plain,
product(e_3,e_2,e_2),
inference(splitRight,[status(thm)],[c_2156]) ).
tff(c_2237,plain,
equalish(e_3,e_2),
inference(resolution,[status(thm)],[c_2189,c_60]) ).
tff(c_2258,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24,c_2237]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.14 % Problem : GRP124-1.004 : TPTP v8.1.2. Released v1.2.0.
% 0.10/0.15 % 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 : n031.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
% 0.21/0.37 % CPULimit : 300
% 0.21/0.37 % WCLimit : 300
% 0.21/0.37 % DateTime : Thu Aug 3 22:35:15 EDT 2023
% 0.21/0.37 % CPUTime :
% 5.96/2.35 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.96/2.37
% 5.96/2.37 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 5.96/2.42
% 5.96/2.42 Inference rules
% 5.96/2.42 ----------------------
% 5.96/2.42 #Ref : 0
% 5.96/2.42 #Sup : 446
% 5.96/2.42 #Fact : 0
% 5.96/2.42 #Define : 0
% 5.96/2.42 #Split : 10
% 5.96/2.42 #Chain : 0
% 5.96/2.42 #Close : 0
% 5.96/2.42
% 5.96/2.42 Ordering : KBO
% 5.96/2.42
% 5.96/2.42 Simplification rules
% 5.96/2.42 ----------------------
% 5.96/2.42 #Subsume : 46
% 5.96/2.42 #Demod : 318
% 5.96/2.42 #Tautology : 135
% 5.96/2.42 #SimpNegUnit : 182
% 5.96/2.42 #BackRed : 0
% 5.96/2.42
% 5.96/2.42 #Partial instantiations: 0
% 5.96/2.42 #Strategies tried : 1
% 5.96/2.42
% 5.96/2.42 Timing (in seconds)
% 5.96/2.42 ----------------------
% 5.96/2.42 Preprocessing : 0.46
% 5.96/2.42 Parsing : 0.26
% 5.96/2.42 CNF conversion : 0.02
% 5.96/2.42 Main loop : 0.84
% 5.96/2.42 Inferencing : 0.28
% 5.96/2.42 Reduction : 0.22
% 5.96/2.42 Demodulation : 0.14
% 5.96/2.42 BG Simplification : 0.03
% 5.96/2.42 Subsumption : 0.27
% 5.96/2.42 Abstraction : 0.03
% 5.96/2.42 MUC search : 0.00
% 5.96/2.42 Cooper : 0.00
% 5.96/2.42 Total : 1.39
% 5.96/2.42 Index Insertion : 0.00
% 5.96/2.42 Index Deletion : 0.00
% 5.96/2.42 Index Matching : 0.00
% 5.96/2.42 BG Taut test : 0.00
%------------------------------------------------------------------------------