TSTP Solution File: HWV052-1.002.002 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : HWV052-1.002.002 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n005.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 : Thu Aug 31 02:00:41 EDT 2023
% Result : Unsatisfiable 71.31s 71.68s
% Output : CNFRefutation 71.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 18
% Syntax : Number of formulae : 128 ( 37 unt; 7 typ; 0 def)
% Number of atoms : 251 ( 250 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 161 ( 31 ~; 130 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 13 ( 5 >; 8 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-4 aty)
% Number of variables : 192 ( 1 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
o: $i ).
tff(decl_23,type,
i: $i ).
tff(decl_24,type,
inv: $i > $i ).
tff(decl_25,type,
pack1: ( $i * $i ) > $i ).
tff(decl_26,type,
pack2: ( $i * $i ) > $i ).
tff(decl_27,type,
unpack1: ( $i * $i * $i * $i ) > $i ).
tff(decl_28,type,
unpack2: ( $i * $i * $i * $i ) > $i ).
cnf(bit_domain,axiom,
( X1 = o
| X1 = i ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bit_domain) ).
cnf(bit_inverse,axiom,
inv(X1) != X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bit_inverse) ).
cnf(unpack2_06,axiom,
unpack2(X1,inv(X2),pack1(X1,X2),pack2(X1,X2)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unpack2_06) ).
cnf(unpack1,axiom,
unpack1(X1,X2,pack1(X1,X2),pack2(X1,X2)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unpack1) ).
cnf(unpack1_04,axiom,
unpack1(X1,X2,pack1(X1,X2),inv(pack2(X1,X2))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unpack1_04) ).
cnf(unpack2_07,axiom,
unpack2(X1,X2,inv(pack1(X1,X2)),pack2(X1,X2)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unpack2_07) ).
cnf(unpack1_01,axiom,
unpack1(inv(X1),X2,pack1(X1,X2),pack2(X1,X2)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unpack1_01) ).
cnf(unpack2,axiom,
unpack2(X1,X2,pack1(X1,X2),pack2(X1,X2)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unpack2) ).
cnf(unpack1_03,axiom,
unpack1(X1,X2,inv(pack1(X1,X2)),pack2(X1,X2)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unpack1_03) ).
cnf(unpack2_08,axiom,
unpack2(X1,X2,pack1(X1,X2),inv(pack2(X1,X2))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unpack2_08) ).
cnf(unpack2_05,axiom,
unpack2(inv(X1),X2,pack1(X1,X2),pack2(X1,X2)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unpack2_05) ).
cnf(c_0_11,axiom,
( X1 = o
| X1 = i ),
bit_domain ).
cnf(c_0_12,axiom,
inv(X1) != X1,
bit_inverse ).
cnf(c_0_13,plain,
( X1 = o
| X2 = o
| X2 = X1 ),
inference(spm,[status(thm)],[c_0_11,c_0_11]) ).
cnf(c_0_14,plain,
( inv(o) = X1
| X1 = o ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13])]) ).
cnf(c_0_15,axiom,
unpack2(X1,inv(X2),pack1(X1,X2),pack2(X1,X2)) = X2,
unpack2_06 ).
cnf(c_0_16,plain,
inv(i) = o,
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_11])]) ).
cnf(c_0_17,plain,
inv(inv(o)) = o,
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_14])]) ).
cnf(c_0_18,plain,
unpack2(X1,o,pack1(X1,i),pack2(X1,i)) = i,
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,plain,
( X1 = o
| X2 = X1
| X3 = X4
| X3 = X2
| X4 = X2 ),
inference(spm,[status(thm)],[c_0_13,c_0_13]) ).
cnf(c_0_20,plain,
i != o,
inference(spm,[status(thm)],[c_0_12,c_0_16]) ).
cnf(c_0_21,plain,
( inv(inv(X1)) = X1
| X2 = o
| X2 = X1 ),
inference(spm,[status(thm)],[c_0_17,c_0_13]) ).
cnf(c_0_22,plain,
( X1 = i
| X2 = X1
| X3 = X1
| X3 = X2 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_18]),c_0_20]) ).
cnf(c_0_23,plain,
( inv(inv(X1)) = o
| inv(inv(X1)) = X1 ),
inference(ef,[status(thm)],[c_0_21]) ).
cnf(c_0_24,plain,
( inv(inv(X1)) = X1
| inv(X1) = o ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_21])]) ).
cnf(c_0_25,plain,
( inv(X1) = o
| X1 = o ),
inference(spm,[status(thm)],[c_0_16,c_0_11]) ).
cnf(c_0_26,plain,
( inv(X1) = i
| X2 = inv(X1)
| X1 = X2 ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_22])]) ).
cnf(c_0_27,plain,
( inv(inv(X1)) = X1
| inv(o) = X1 ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_21])]) ).
cnf(c_0_28,plain,
inv(inv(X1)) = X1,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_23]),c_0_24]) ).
cnf(c_0_29,plain,
( X1 = inv(X2)
| X2 = o
| X2 = X1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_20]) ).
cnf(c_0_30,plain,
inv(o) = i,
inference(spm,[status(thm)],[c_0_27,c_0_16]) ).
cnf(c_0_31,plain,
( inv(X1) = X2
| X2 = o
| X2 = X1 ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_32,plain,
( unpack2(X1,i,pack1(X1,X2),pack2(X1,X2)) = X2
| inv(X2) = o ),
inference(spm,[status(thm)],[c_0_15,c_0_11]) ).
cnf(c_0_33,plain,
( inv(X1) = i
| X2 = o
| X2 = X1 ),
inference(spm,[status(thm)],[c_0_30,c_0_13]) ).
cnf(c_0_34,plain,
( X1 = o
| X1 = X2
| inv(X2) != o ),
inference(ef,[status(thm)],[c_0_31]) ).
cnf(c_0_35,plain,
( inv(unpack2(X1,i,pack1(X1,X2),pack2(X1,X2))) = i
| X3 = o
| X3 = X2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]) ).
cnf(c_0_36,plain,
( inv(X1) = i
| inv(X2) = X1
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_28,c_0_26]) ).
cnf(c_0_37,plain,
( inv(X1) = o
| inv(X1) = X2
| X2 = X1 ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_38,plain,
( X1 = o
| X1 = X2
| unpack2(X3,i,pack1(X3,X2),pack2(X3,X2)) != i ),
inference(spm,[status(thm)],[c_0_12,c_0_35]) ).
cnf(c_0_39,plain,
( inv(X1) = X2
| inv(X3) = X1
| X2 = X1
| X1 = X3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_20]) ).
cnf(c_0_40,plain,
( X1 = o
| X2 = o
| X2 = X3
| unpack2(X4,X1,pack1(X4,X3),pack2(X4,X3)) != X1 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_33]),c_0_16]),c_0_20]) ).
cnf(c_0_41,plain,
( inv(X1) = inv(X2)
| inv(X2) = X1
| X1 = X2 ),
inference(er,[status(thm)],[inference(ef,[status(thm)],[c_0_39])]) ).
cnf(c_0_42,plain,
( X1 = o
| unpack2(X2,X1,pack1(X2,o),pack2(X2,o)) != X1 ),
inference(er,[status(thm)],[inference(ef,[status(thm)],[c_0_40])]) ).
cnf(c_0_43,plain,
( inv(X1) = X2
| X2 = X1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_41]),c_0_28])]) ).
cnf(c_0_44,plain,
( pack2(X1,o) = X2
| X3 = o
| unpack2(X1,X3,pack1(X1,o),inv(X2)) != X3 ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_45,plain,
( inv(inv(X1)) = X1
| i = X1 ),
inference(rw,[status(thm)],[c_0_27,c_0_30]) ).
cnf(c_0_46,axiom,
unpack1(X1,X2,pack1(X1,X2),pack2(X1,X2)) = X1,
unpack1 ).
cnf(c_0_47,axiom,
unpack1(X1,X2,pack1(X1,X2),inv(pack2(X1,X2))) = X1,
unpack1_04 ).
cnf(c_0_48,plain,
( X1 = o
| unpack2(X2,X1,pack1(X2,o),inv(X1)) != X1
| pack2(X2,o) != o ),
inference(ef,[status(thm)],[c_0_44]) ).
cnf(c_0_49,plain,
( X1 = inv(X2)
| X1 = o
| i = X2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_13]),c_0_30])]) ).
cnf(c_0_50,axiom,
unpack2(X1,X2,inv(pack1(X1,X2)),pack2(X1,X2)) = X2,
unpack2_07 ).
cnf(c_0_51,plain,
( unpack1(X1,X2,pack1(X1,X2),o) = X1
| pack2(X1,X2) = X3
| X3 = o ),
inference(spm,[status(thm)],[c_0_46,c_0_13]) ).
cnf(c_0_52,plain,
( unpack1(X1,X2,pack1(X1,X2),X3) = X1
| pack2(X1,X2) = X3 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_43]),c_0_28]) ).
cnf(c_0_53,plain,
( unpack2(X1,i,pack1(X1,o),o) != i
| pack2(X1,o) != o ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_16]),c_0_20]) ).
cnf(c_0_54,plain,
( inv(X1) = X2
| i = X2
| X1 = o ),
inference(spm,[status(thm)],[c_0_24,c_0_49]) ).
cnf(c_0_55,plain,
( unpack2(X1,inv(X2),pack1(X1,X2),o) = X2
| pack2(X1,X2) = X3
| X3 = o ),
inference(spm,[status(thm)],[c_0_15,c_0_13]) ).
cnf(c_0_56,plain,
( unpack2(X1,X2,inv(pack1(X1,X2)),o) = X2
| X3 = pack2(X1,X2)
| X3 = o ),
inference(spm,[status(thm)],[c_0_50,c_0_13]) ).
cnf(c_0_57,axiom,
unpack1(inv(X1),X2,pack1(X1,X2),pack2(X1,X2)) = X1,
unpack1_01 ).
cnf(c_0_58,plain,
( unpack1(X1,X2,pack1(X1,X2),o) = X1
| X3 = o ),
inference(csr,[status(thm)],[inference(ef,[status(thm)],[c_0_51]),c_0_52]) ).
cnf(c_0_59,plain,
( pack1(X1,o) = X2
| unpack2(X1,i,inv(X2),o) != i
| pack2(X1,o) != o ),
inference(spm,[status(thm)],[c_0_53,c_0_43]) ).
cnf(c_0_60,axiom,
unpack2(X1,X2,pack1(X1,X2),pack2(X1,X2)) = X2,
unpack2 ).
cnf(c_0_61,plain,
( inv(X1) = o
| i = X2
| X2 = X1 ),
inference(spm,[status(thm)],[c_0_24,c_0_54]) ).
cnf(c_0_62,plain,
( unpack2(X1,inv(X2),pack1(X1,X2),o) = X2
| pack2(X1,X2) = i ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_55]),c_0_18]),c_0_20]) ).
cnf(c_0_63,plain,
( unpack2(X1,X2,inv(pack1(X1,X2)),o) = X2
| pack2(X1,X2) = i ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_56]),c_0_18]),c_0_20]) ).
cnf(c_0_64,plain,
( unpack1(inv(X1),X2,pack1(X1,X2),o) = X1
| X3 = pack2(X1,X2)
| X3 = o ),
inference(spm,[status(thm)],[c_0_57,c_0_13]) ).
cnf(c_0_65,plain,
unpack1(X1,X2,pack1(X1,X2),o) = X1,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_58]),c_0_20]) ).
cnf(c_0_66,axiom,
unpack1(X1,X2,inv(pack1(X1,X2)),pack2(X1,X2)) = X1,
unpack1_03 ).
cnf(c_0_67,plain,
( pack1(X1,o) = inv(X2)
| unpack2(X1,i,X2,o) != i
| pack2(X1,o) != o ),
inference(spm,[status(thm)],[c_0_59,c_0_28]) ).
cnf(c_0_68,plain,
( unpack2(X1,X2,pack1(X1,X2),X3) = X2
| pack2(X1,X2) = i
| inv(X3) = o ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_69,plain,
( unpack2(X1,i,pack1(X1,o),o) = o
| pack2(X1,o) = i ),
inference(spm,[status(thm)],[c_0_62,c_0_30]) ).
cnf(c_0_70,plain,
( unpack2(X1,X2,X3,o) = X2
| pack2(X1,X2) = i
| pack1(X1,X2) = X3 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_43]),c_0_28]) ).
cnf(c_0_71,plain,
( unpack1(inv(X1),X2,pack1(X1,X2),o) = X1
| pack2(X1,X2) = i ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_64]),c_0_18]),c_0_20]) ).
cnf(c_0_72,plain,
( unpack1(X1,X2,inv(X3),o) = X1
| pack1(X1,X2) = X3 ),
inference(spm,[status(thm)],[c_0_65,c_0_43]) ).
cnf(c_0_73,plain,
( unpack1(X1,X2,inv(pack1(X1,X2)),o) = X1
| X3 = pack2(X1,X2)
| X3 = o ),
inference(spm,[status(thm)],[c_0_66,c_0_13]) ).
cnf(c_0_74,plain,
( inv(pack1(X1,i)) = pack1(X1,o)
| pack2(X1,i) = i
| pack2(X1,o) != o ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_30]),c_0_20]) ).
cnf(c_0_75,plain,
( pack1(X1,i) = pack1(X1,o)
| pack2(X1,i) = i
| pack2(X1,o) = i ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_20]) ).
cnf(c_0_76,plain,
( unpack1(i,X1,pack1(o,X1),o) = o
| pack2(o,X1) = i ),
inference(spm,[status(thm)],[c_0_71,c_0_30]) ).
cnf(c_0_77,plain,
( unpack1(X1,X2,X3,o) = X1
| pack1(X1,X2) = inv(X3) ),
inference(spm,[status(thm)],[c_0_72,c_0_28]) ).
cnf(c_0_78,plain,
( unpack1(X1,X2,inv(pack1(X1,X2)),o) = X1
| pack2(X1,X2) = i ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_73]),c_0_18]),c_0_20]) ).
cnf(c_0_79,axiom,
unpack2(X1,X2,pack1(X1,X2),inv(pack2(X1,X2))) = X2,
unpack2_08 ).
cnf(c_0_80,plain,
( pack2(X1,o) = i
| pack2(X1,i) = i ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_12]),c_0_11]) ).
cnf(c_0_81,plain,
( inv(pack1(o,X1)) = pack1(i,X1)
| pack2(o,X1) = i ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_20]) ).
cnf(c_0_82,plain,
( unpack1(X1,X2,X3,o) = X1
| pack2(X1,X2) = i
| pack1(X1,X2) = X3 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_43]),c_0_28]) ).
cnf(c_0_83,plain,
( unpack2(X1,i,pack1(X1,i),o) = i
| pack2(X1,o) = i ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_16]) ).
cnf(c_0_84,plain,
( pack2(X1,o) = o
| X2 = o
| unpack2(X1,X2,pack1(X1,o),i) != X2 ),
inference(spm,[status(thm)],[c_0_42,c_0_11]) ).
cnf(c_0_85,plain,
( pack2(o,X1) = i
| pack1(i,X1) != pack1(o,X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_81]) ).
cnf(c_0_86,plain,
( pack1(i,X1) = pack1(o,X1)
| pack2(i,X1) = i
| pack2(o,X1) = i ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_82]),c_0_20]) ).
cnf(c_0_87,plain,
( inv(pack1(X1,i)) = pack1(X1,o)
| pack2(X1,o) = i ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_83]),c_0_11]) ).
cnf(c_0_88,axiom,
unpack2(inv(X1),X2,pack1(X1,X2),pack2(X1,X2)) = X2,
unpack2_05 ).
cnf(c_0_89,plain,
( pack2(X1,o) = o
| unpack2(X1,pack2(X1,o),pack1(X1,o),i) != pack2(X1,o) ),
inference(ef,[status(thm)],[c_0_84]) ).
cnf(c_0_90,plain,
( pack2(i,X1) = i
| pack2(o,X1) = i ),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_91,plain,
( inv(pack1(X1,o)) = pack1(X1,i)
| pack2(X1,o) = i ),
inference(spm,[status(thm)],[c_0_28,c_0_87]) ).
cnf(c_0_92,plain,
unpack2(i,X1,pack1(o,X1),pack2(o,X1)) = X1,
inference(spm,[status(thm)],[c_0_88,c_0_30]) ).
cnf(c_0_93,plain,
( unpack2(inv(X1),X2,pack1(X1,X2),o) = X2
| X3 = pack2(X1,X2)
| X3 = o ),
inference(spm,[status(thm)],[c_0_88,c_0_13]) ).
cnf(c_0_94,plain,
( unpack2(X1,o,pack1(X1,i),X2) = i
| pack2(X1,i) = o
| inv(X2) = i ),
inference(spm,[status(thm)],[c_0_18,c_0_33]) ).
cnf(c_0_95,plain,
( unpack2(X1,X2,X3,pack2(X1,X2)) = X2
| pack1(X1,X2) = X3 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_43]),c_0_28]) ).
cnf(c_0_96,plain,
( pack2(o,o) = i
| unpack2(i,i,pack1(i,o),i) != i ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_20]) ).
cnf(c_0_97,plain,
( pack1(i,o) = pack1(o,i)
| pack2(o,o) = i ),
inference(spm,[status(thm)],[c_0_91,c_0_81]) ).
cnf(c_0_98,plain,
( unpack2(i,i,pack1(o,i),i) = i
| pack2(o,o) = i ),
inference(spm,[status(thm)],[c_0_92,c_0_80]) ).
cnf(c_0_99,plain,
( unpack2(inv(X1),X2,pack1(X1,X2),o) = X2
| pack2(X1,X2) = i ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_93]),c_0_18]),c_0_20]) ).
cnf(c_0_100,plain,
( pack1(X1,i) = pack1(X1,o)
| inv(pack2(X1,o)) = i
| pack2(X1,i) = o ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_20]) ).
cnf(c_0_101,plain,
pack2(o,o) = i,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_98]) ).
cnf(c_0_102,plain,
( unpack2(i,X1,pack1(o,X1),o) = X1
| pack2(o,X1) = i ),
inference(spm,[status(thm)],[c_0_99,c_0_30]) ).
cnf(c_0_103,plain,
( unpack2(X1,X2,pack1(X1,X2),i) = X2
| pack2(X1,X2) = o ),
inference(spm,[status(thm)],[c_0_60,c_0_11]) ).
cnf(c_0_104,plain,
( pack1(o,i) = pack1(o,o)
| pack2(o,i) = o ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_16]),c_0_20]) ).
cnf(c_0_105,plain,
unpack2(o,i,pack1(o,o),i) != i,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_101]),c_0_20]) ).
cnf(c_0_106,plain,
( pack2(X1,o) = i
| pack1(X1,i) != pack1(X1,o) ),
inference(spm,[status(thm)],[c_0_12,c_0_87]) ).
cnf(c_0_107,plain,
( inv(pack1(o,i)) = pack1(i,o)
| pack2(o,i) = i
| pack2(i,o) != o ),
inference(spm,[status(thm)],[c_0_67,c_0_102]) ).
cnf(c_0_108,plain,
pack2(o,i) = o,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_105]) ).
cnf(c_0_109,plain,
( pack2(X1,o) = X2
| X2 = o
| pack1(X1,X2) != pack1(X1,o) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_33]),c_0_16]),c_0_20]) ).
cnf(c_0_110,plain,
( inv(pack1(o,i)) = pack1(i,o)
| pack2(i,o) != o ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_107,c_0_108]),c_0_20]) ).
cnf(c_0_111,plain,
( X1 = o
| pack1(X2,X1) != pack1(X2,o)
| pack2(X2,o) != o ),
inference(ef,[status(thm)],[c_0_109]) ).
cnf(c_0_112,plain,
( pack1(i,i) = pack1(i,o)
| pack2(i,o) != o ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_110]),c_0_108]),c_0_20]) ).
cnf(c_0_113,plain,
pack2(i,o) != o,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_20]) ).
cnf(c_0_114,plain,
( inv(inv(X1)) = o
| i = X1 ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_49])]) ).
cnf(c_0_115,plain,
inv(pack2(i,o)) = o,
inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_61])]),c_0_20]) ).
cnf(c_0_116,plain,
pack2(i,o) = i,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_30]),c_0_20]) ).
cnf(c_0_117,plain,
( pack1(i,i) = pack1(i,o)
| pack2(i,i) = o ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_116]),c_0_16]),c_0_20]) ).
cnf(c_0_118,plain,
unpack2(i,i,pack1(i,o),i) != i,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_116]),c_0_20]) ).
cnf(c_0_119,plain,
pack2(i,i) = o,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_117]),c_0_118]) ).
cnf(c_0_120,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_119]),c_0_108])]),c_0_20]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : HWV052-1.002.002 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35 % Computer : n005.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 16:32:07 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.58 start to proof: theBenchmark
% 71.31/71.68 % Version : CSE_E---1.5
% 71.31/71.68 % Problem : theBenchmark.p
% 71.31/71.68 % Proof found
% 71.31/71.68 % SZS status Theorem for theBenchmark.p
% 71.31/71.68 % SZS output start Proof
% See solution above
% 71.33/71.68 % Total time : 70.737000 s
% 71.33/71.68 % SZS output end Proof
% 71.33/71.68 % Total time : 70.743000 s
%------------------------------------------------------------------------------