TSTP Solution File: GRP655-10 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GRP655-10 : TPTP v8.1.2. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n032.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 00:22:46 EDT 2023
% Result : Unsatisfiable 24.05s 24.17s
% Output : CNFRefutation 24.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 12
% Syntax : Number of formulae : 120 ( 114 unt; 6 typ; 0 def)
% Number of atoms : 114 ( 113 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 10 ( 6 >; 4 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 0 con; 1-2 aty)
% Number of variables : 264 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
ld: ( $i * $i ) > $i ).
tff(decl_23,type,
mult: ( $i * $i ) > $i ).
tff(decl_24,type,
rd: ( $i * $i ) > $i ).
tff(decl_25,type,
x1: $i > $i ).
tff(decl_26,type,
x1_2: $i > $i ).
tff(decl_27,type,
tuple: ( $i * $i ) > $i ).
cnf(f05,axiom,
mult(X1,mult(X2,mult(X3,X2))) = mult(mult(mult(X1,X2),X3),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f05) ).
cnf(f03,axiom,
mult(rd(X1,X2),X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f03) ).
cnf(f02,axiom,
ld(X1,mult(X1,X2)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f02) ).
cnf(f04,axiom,
rd(mult(X1,X2),X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f04) ).
cnf(f01,axiom,
mult(X1,ld(X1,X2)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f01) ).
cnf(goal,negated_conjecture,
tuple(mult(X1,x1(X1)),mult(x1_2(X1),X1)) != tuple(x1(X1),x1_2(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
cnf(c_0_6,axiom,
mult(X1,mult(X2,mult(X3,X2))) = mult(mult(mult(X1,X2),X3),X2),
f05 ).
cnf(c_0_7,axiom,
mult(rd(X1,X2),X2) = X1,
f03 ).
cnf(c_0_8,axiom,
ld(X1,mult(X1,X2)) = X2,
f02 ).
cnf(c_0_9,plain,
mult(rd(X1,X2),mult(X2,mult(X3,X2))) = mult(mult(X1,X3),X2),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,axiom,
rd(mult(X1,X2),X2) = X1,
f04 ).
cnf(c_0_11,plain,
ld(rd(X1,X2),mult(mult(X1,X3),X2)) = mult(X2,mult(X3,X2)),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,axiom,
mult(X1,ld(X1,X2)) = X2,
f01 ).
cnf(c_0_13,plain,
rd(mult(X1,mult(X2,mult(X3,X2))),X2) = mult(mult(X1,X2),X3),
inference(spm,[status(thm)],[c_0_10,c_0_6]) ).
cnf(c_0_14,plain,
ld(rd(X1,X2),mult(X3,X2)) = mult(X2,mult(ld(X1,X3),X2)),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,plain,
mult(mult(X1,X2),rd(X3,X2)) = rd(mult(X1,mult(X2,X3)),X2),
inference(spm,[status(thm)],[c_0_13,c_0_7]) ).
cnf(c_0_16,plain,
mult(X1,mult(ld(X2,rd(X2,X1)),X1)) = X1,
inference(spm,[status(thm)],[c_0_8,c_0_14]) ).
cnf(c_0_17,plain,
rd(mult(rd(X1,X2),mult(X2,X3)),X2) = mult(X1,rd(X3,X2)),
inference(spm,[status(thm)],[c_0_15,c_0_7]) ).
cnf(c_0_18,plain,
mult(ld(X1,rd(X1,X2)),X2) = ld(X2,X2),
inference(spm,[status(thm)],[c_0_8,c_0_16]) ).
cnf(c_0_19,plain,
mult(X1,rd(ld(X2,X3),X2)) = rd(mult(rd(X1,X2),X3),X2),
inference(spm,[status(thm)],[c_0_17,c_0_12]) ).
cnf(c_0_20,plain,
mult(mult(X1,X2),ld(X3,rd(X3,X2))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_18]),c_0_12]),c_0_10]) ).
cnf(c_0_21,plain,
ld(X1,rd(mult(rd(X1,X2),X3),X2)) = rd(ld(X2,X3),X2),
inference(spm,[status(thm)],[c_0_8,c_0_19]) ).
cnf(c_0_22,plain,
rd(X1,ld(X2,rd(X2,X3))) = mult(X1,X3),
inference(spm,[status(thm)],[c_0_10,c_0_20]) ).
cnf(c_0_23,plain,
rd(X1,ld(X2,X1)) = X2,
inference(spm,[status(thm)],[c_0_10,c_0_12]) ).
cnf(c_0_24,plain,
ld(mult(X1,X2),rd(mult(X1,X3),X2)) = rd(ld(X2,X3),X2),
inference(spm,[status(thm)],[c_0_21,c_0_10]) ).
cnf(c_0_25,plain,
mult(ld(mult(X1,X2),X1),X2) = ld(X2,X2),
inference(spm,[status(thm)],[c_0_18,c_0_10]) ).
cnf(c_0_26,plain,
rd(X1,ld(X2,X3)) = mult(X1,ld(X3,X2)),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_27,plain,
rd(ld(X1,ld(X2,X3)),X1) = ld(mult(X2,X1),rd(X3,X1)),
inference(spm,[status(thm)],[c_0_24,c_0_12]) ).
cnf(c_0_28,plain,
ld(ld(mult(X1,X2),X1),ld(X2,X2)) = X2,
inference(spm,[status(thm)],[c_0_8,c_0_25]) ).
cnf(c_0_29,plain,
mult(X1,ld(mult(X2,X3),X2)) = rd(X1,X3),
inference(spm,[status(thm)],[c_0_26,c_0_8]) ).
cnf(c_0_30,plain,
mult(X1,mult(ld(X1,X1),X1)) = mult(X1,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_26]),c_0_8]),c_0_29]),c_0_26]),c_0_8]),c_0_14]) ).
cnf(c_0_31,plain,
mult(ld(X1,X1),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_30]),c_0_8]) ).
cnf(c_0_32,plain,
mult(X1,mult(ld(X2,rd(X3,X1)),X1)) = ld(rd(X2,X1),X3),
inference(spm,[status(thm)],[c_0_14,c_0_7]) ).
cnf(c_0_33,plain,
mult(ld(ld(mult(X1,X2),X1),X3),X2) = mult(X2,mult(X3,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_29]),c_0_26]),c_0_8]),c_0_14]),c_0_8]),c_0_26]),c_0_8]) ).
cnf(c_0_34,plain,
ld(X1,X1) = rd(X1,X1),
inference(spm,[status(thm)],[c_0_10,c_0_31]) ).
cnf(c_0_35,plain,
ld(X1,rd(X1,X2)) = rd(ld(X2,X2),X2),
inference(spm,[status(thm)],[c_0_21,c_0_7]) ).
cnf(c_0_36,plain,
ld(rd(X1,X2),X1) = X2,
inference(spm,[status(thm)],[c_0_8,c_0_7]) ).
cnf(c_0_37,plain,
mult(X1,mult(ld(X1,X2),mult(X3,ld(X1,X2)))) = mult(mult(X2,X3),ld(X1,X2)),
inference(spm,[status(thm)],[c_0_6,c_0_12]) ).
cnf(c_0_38,plain,
ld(rd(ld(mult(X1,X2),X1),X2),X3) = mult(X2,mult(X2,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_7]) ).
cnf(c_0_39,plain,
mult(mult(X1,ld(X2,X3)),ld(X3,X2)) = X1,
inference(spm,[status(thm)],[c_0_10,c_0_26]) ).
cnf(c_0_40,plain,
mult(X1,rd(X1,X1)) = X1,
inference(spm,[status(thm)],[c_0_12,c_0_34]) ).
cnf(c_0_41,plain,
mult(mult(X1,rd(X2,X3)),X3) = mult(rd(X1,X3),mult(X3,X2)),
inference(spm,[status(thm)],[c_0_9,c_0_7]) ).
cnf(c_0_42,plain,
rd(X1,rd(X2,X2)) = mult(X1,rd(X2,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_34]),c_0_34]) ).
cnf(c_0_43,plain,
rd(X1,rd(ld(X2,X2),X2)) = mult(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_35]),c_0_36]) ).
cnf(c_0_44,plain,
mult(mult(X1,X2),ld(X2,X1)) = mult(X2,mult(ld(X2,X1),X1)),
inference(spm,[status(thm)],[c_0_37,c_0_12]) ).
cnf(c_0_45,plain,
mult(X1,mult(ld(mult(X2,X1),X3),X1)) = ld(X2,mult(X3,X1)),
inference(spm,[status(thm)],[c_0_14,c_0_10]) ).
cnf(c_0_46,plain,
ld(mult(ld(X1,X2),ld(X1,X2)),X3) = mult(ld(X2,X1),mult(ld(X2,X1),X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_8]),c_0_26]) ).
cnf(c_0_47,plain,
mult(ld(X1,X2),mult(X3,ld(X1,X2))) = ld(X1,mult(mult(X2,X3),ld(X1,X2))),
inference(spm,[status(thm)],[c_0_8,c_0_37]) ).
cnf(c_0_48,plain,
mult(mult(X1,mult(ld(X1,X2),X3)),ld(X2,X1)) = mult(X2,mult(X3,ld(X2,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_12]),c_0_26]),c_0_26]) ).
cnf(c_0_49,plain,
mult(rd(X1,X2),mult(X2,X2)) = rd(mult(X1,mult(X2,X2)),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_40]),c_0_7]),c_0_41]),c_0_42]),c_0_15]) ).
cnf(c_0_50,plain,
ld(mult(X1,X2),X1) = rd(rd(X2,X2),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_43]),c_0_34]) ).
cnf(c_0_51,plain,
rd(mult(X1,mult(X1,X1)),X1) = mult(X1,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_34]),c_0_15]),c_0_7]) ).
cnf(c_0_52,plain,
ld(ld(X1,X2),mult(X3,ld(X1,X2))) = mult(mult(ld(X2,X1),X3),ld(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47]),c_0_48]),c_0_8]) ).
cnf(c_0_53,plain,
mult(ld(mult(X1,X2),X1),mult(X2,X2)) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_49]),c_0_51]),c_0_10]) ).
cnf(c_0_54,plain,
mult(mult(ld(X1,X2),X2),ld(X2,X1)) = ld(ld(X2,X1),X1),
inference(spm,[status(thm)],[c_0_52,c_0_12]) ).
cnf(c_0_55,plain,
mult(mult(X1,mult(ld(X2,X3),X3)),ld(X3,X2)) = mult(mult(X1,ld(X2,X3)),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_12]),c_0_26]) ).
cnf(c_0_56,plain,
rd(X1,mult(X1,X1)) = ld(mult(X2,X1),X2),
inference(spm,[status(thm)],[c_0_10,c_0_53]) ).
cnf(c_0_57,plain,
ld(ld(X1,X2),ld(ld(X1,X2),X2)) = mult(mult(ld(X2,X1),ld(X2,X1)),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_54]),c_0_55]) ).
cnf(c_0_58,plain,
mult(X1,ld(X2,rd(X2,X3))) = rd(X1,X3),
inference(spm,[status(thm)],[c_0_20,c_0_7]) ).
cnf(c_0_59,plain,
ld(ld(mult(X1,X2),X1),X2) = mult(X2,X2),
inference(spm,[status(thm)],[c_0_8,c_0_53]) ).
cnf(c_0_60,plain,
mult(X1,rd(X2,mult(X2,X2))) = rd(X1,X2),
inference(spm,[status(thm)],[c_0_29,c_0_56]) ).
cnf(c_0_61,plain,
mult(rd(ld(X1,rd(X1,X2)),X2),X1) = ld(X2,ld(X2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_36]),c_0_58]) ).
cnf(c_0_62,plain,
ld(ld(X1,rd(X1,X2)),X2) = mult(X2,X2),
inference(spm,[status(thm)],[c_0_59,c_0_7]) ).
cnf(c_0_63,plain,
ld(X1,ld(X2,rd(X2,X1))) = rd(ld(X2,rd(X2,X1)),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_58]),c_0_36]),c_0_58]) ).
cnf(c_0_64,plain,
rd(rd(mult(X1,mult(X2,X3)),X2),rd(X3,X2)) = mult(X1,X2),
inference(spm,[status(thm)],[c_0_10,c_0_15]) ).
cnf(c_0_65,plain,
mult(X1,rd(rd(X2,X2),X2)) = rd(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_34]),c_0_7]) ).
cnf(c_0_66,plain,
rd(X1,rd(rd(X2,X2),X2)) = mult(X1,X2),
inference(spm,[status(thm)],[c_0_43,c_0_34]) ).
cnf(c_0_67,plain,
mult(rd(X1,mult(X1,X1)),rd(X2,X1)) = rd(ld(X1,X2),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_33]),c_0_60]),c_0_60]),c_0_36]) ).
cnf(c_0_68,plain,
rd(ld(X1,ld(X1,X2)),X2) = rd(ld(X2,rd(X2,X1)),X1),
inference(spm,[status(thm)],[c_0_10,c_0_61]) ).
cnf(c_0_69,plain,
mult(X1,rd(ld(X2,rd(X2,X3)),X3)) = rd(X1,mult(X3,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_62]),c_0_63]) ).
cnf(c_0_70,plain,
ld(ld(X1,X2),ld(X2,X1)) = mult(ld(X2,X1),ld(X2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_39]),c_0_8]) ).
cnf(c_0_71,plain,
rd(rd(X1,X2),rd(X3,X2)) = mult(rd(X1,mult(X2,X3)),X2),
inference(spm,[status(thm)],[c_0_64,c_0_7]) ).
cnf(c_0_72,plain,
mult(rd(X1,X2),rd(X2,X2)) = rd(mult(X1,rd(X2,X2)),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_65]),c_0_66]),c_0_15]),c_0_65]),c_0_66]),c_0_41]),c_0_65]) ).
cnf(c_0_73,plain,
ld(X1,ld(mult(X2,X1),X2)) = rd(ld(mult(X2,X1),X2),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_29]),c_0_36]),c_0_29]) ).
cnf(c_0_74,plain,
ld(mult(X1,X2),rd(ld(X1,X2),X2)) = rd(rd(X2,mult(X2,X2)),mult(X1,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_69]),c_0_27]) ).
cnf(c_0_75,plain,
rd(X1,mult(ld(X2,X3),ld(X2,X3))) = mult(X1,mult(ld(X3,X2),ld(X3,X2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_70]),c_0_70]) ).
cnf(c_0_76,plain,
mult(ld(X1,X2),mult(ld(X2,X1),ld(X2,X1))) = ld(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_39]),c_0_8]) ).
cnf(c_0_77,plain,
mult(ld(rd(X1,X1),X2),rd(X1,X1)) = ld(X1,mult(mult(X1,X2),rd(X1,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_40]),c_0_42]),c_0_42]) ).
cnf(c_0_78,plain,
rd(mult(X1,rd(X2,X2)),X2) = mult(rd(X1,mult(X2,X2)),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_71]),c_0_72]) ).
cnf(c_0_79,plain,
mult(X1,rd(ld(mult(X2,X3),X2),X3)) = rd(X1,mult(X3,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_53]),c_0_73]) ).
cnf(c_0_80,plain,
mult(rd(rd(X1,rd(X2,X3)),X3),mult(X3,X2)) = mult(X1,X3),
inference(spm,[status(thm)],[c_0_41,c_0_7]) ).
cnf(c_0_81,plain,
mult(X1,mult(mult(rd(X2,mult(X1,X2)),X1),X1)) = ld(rd(rd(X2,X1),X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_34]),c_0_71]) ).
cnf(c_0_82,plain,
mult(mult(X1,rd(X2,X2)),rd(X2,X2)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_34]),c_0_34]) ).
cnf(c_0_83,plain,
ld(X1,mult(ld(X2,ld(X2,X1)),ld(X1,X2))) = rd(ld(X1,X2),mult(X2,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_12]),c_0_26]),c_0_75]),c_0_76]) ).
cnf(c_0_84,plain,
mult(ld(mult(X1,X2),X1),X2) = rd(X2,X2),
inference(rw,[status(thm)],[c_0_25,c_0_34]) ).
cnf(c_0_85,plain,
ld(mult(X1,ld(X2,X3)),mult(X4,ld(X3,X2))) = ld(X3,mult(mult(X2,ld(X1,X4)),ld(X3,X2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_26]),c_0_47]) ).
cnf(c_0_86,plain,
ld(X1,mult(mult(X1,X2),rd(X1,X1))) = mult(rd(X1,X1),mult(X2,rd(X1,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_42]),c_0_42]),c_0_6]),c_0_8]),c_0_42]),c_0_77]) ).
cnf(c_0_87,plain,
mult(rd(X1,X2),rd(X2,X2)) = mult(rd(X1,mult(X2,X2)),X2),
inference(rw,[status(thm)],[c_0_72,c_0_78]) ).
cnf(c_0_88,plain,
mult(rd(X1,mult(X2,X2)),X2) = rd(mult(X1,X2),mult(X2,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_79]),c_0_29]),c_0_78]) ).
cnf(c_0_89,plain,
rd(rd(X1,rd(X2,X3)),X3) = rd(mult(X1,X3),mult(X3,X2)),
inference(spm,[status(thm)],[c_0_10,c_0_80]) ).
cnf(c_0_90,plain,
ld(mult(X1,ld(X2,X3)),X1) = ld(X3,X2),
inference(spm,[status(thm)],[c_0_36,c_0_26]) ).
cnf(c_0_91,plain,
mult(rd(X1,X1),rd(X2,mult(rd(X1,X1),X2))) = rd(X2,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_42]),c_0_42]),c_0_82]),c_0_34]) ).
cnf(c_0_92,plain,
mult(ld(X1,ld(X1,X2)),ld(X2,X1)) = mult(X2,rd(ld(X2,X1),mult(X1,X1))),
inference(spm,[status(thm)],[c_0_12,c_0_83]) ).
cnf(c_0_93,plain,
rd(rd(mult(X1,mult(X2,X1)),mult(X1,mult(X2,X1))),X1) = mult(mult(ld(mult(X3,mult(X1,mult(X2,X1))),X3),X1),X2),
inference(spm,[status(thm)],[c_0_13,c_0_84]) ).
cnf(c_0_94,plain,
mult(rd(X1,X1),mult(rd(X2,X2),rd(X1,X1))) = rd(mult(X2,rd(X1,X1)),mult(X2,rd(X1,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_85]),c_0_34]),c_0_34]),c_0_86]),c_0_34]),c_0_34]) ).
cnf(c_0_95,plain,
mult(rd(X1,X2),rd(X2,X2)) = rd(mult(X1,X2),mult(X2,X2)),
inference(rw,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_96,plain,
rd(mult(X1,X1),mult(X1,X1)) = rd(X1,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_51]),c_0_34]),c_0_8]) ).
cnf(c_0_97,plain,
mult(rd(X1,mult(X2,rd(X3,X3))),rd(X3,X3)) = rd(mult(X1,rd(X3,X3)),mult(rd(X3,X3),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_89]),c_0_42]) ).
cnf(c_0_98,plain,
ld(mult(X1,rd(X2,X2)),X1) = rd(X2,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_34]),c_0_34]) ).
cnf(c_0_99,plain,
ld(rd(X1,X1),rd(X2,X2)) = rd(X2,mult(rd(X1,X1),X2)),
inference(spm,[status(thm)],[c_0_8,c_0_91]) ).
cnf(c_0_100,plain,
mult(ld(X1,ld(X1,rd(X1,X2))),X2) = mult(rd(X1,X2),rd(X2,mult(X1,X1))),
inference(spm,[status(thm)],[c_0_92,c_0_36]) ).
cnf(c_0_101,plain,
mult(rd(X1,X2),mult(rd(X1,mult(X2,X1)),X2)) = rd(X1,X2),
inference(spm,[status(thm)],[c_0_40,c_0_71]) ).
cnf(c_0_102,plain,
mult(rd(X1,mult(rd(X2,X2),X1)),rd(X1,X1)) = rd(X1,mult(rd(X2,X2),X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_42]),c_0_95]),c_0_96]),c_0_42]),c_0_97]),c_0_82]),c_0_98]),c_0_97]),c_0_82]) ).
cnf(c_0_103,plain,
rd(X1,rd(X2,mult(rd(X3,X3),X2))) = mult(X1,rd(X3,mult(rd(X2,X2),X3))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_91]),c_0_99]) ).
cnf(c_0_104,plain,
rd(mult(rd(X1,X2),rd(X2,X3)),X2) = mult(X1,rd(ld(X4,rd(X4,X3)),X2)),
inference(spm,[status(thm)],[c_0_17,c_0_58]) ).
cnf(c_0_105,plain,
rd(mult(rd(X1,X2),rd(X2,mult(X1,X1))),X2) = ld(X1,ld(X1,rd(X1,X2))),
inference(spm,[status(thm)],[c_0_10,c_0_100]) ).
cnf(c_0_106,plain,
mult(rd(X1,X1),rd(X2,X2)) = rd(X1,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_103]),c_0_91]),c_0_103]),c_0_91]),c_0_91]),c_0_103]),c_0_91]) ).
cnf(c_0_107,plain,
mult(X1,rd(ld(X2,rd(X2,mult(X1,X1))),X3)) = ld(X1,ld(X1,rd(X1,X3))),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_108,plain,
rd(X1,X1) = rd(X2,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_106]),c_0_34]),c_0_42]),c_0_72]),c_0_40]) ).
cnf(c_0_109,plain,
rd(X1,rd(X2,X3)) = mult(rd(mult(X1,X3),mult(X3,X2)),X3),
inference(spm,[status(thm)],[c_0_71,c_0_10]) ).
cnf(c_0_110,negated_conjecture,
tuple(mult(X1,x1(X1)),mult(x1_2(X1),X1)) != tuple(x1(X1),x1_2(X1)),
goal ).
cnf(c_0_111,plain,
mult(X1,rd(X2,X2)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_26]),c_0_36]),c_0_8]),c_0_8]) ).
cnf(c_0_112,plain,
mult(rd(X1,X1),X2) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_108]),c_0_42]),c_0_40]) ).
cnf(c_0_113,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_112])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : GRP655-10 : TPTP v8.1.2. Released v8.1.0.
% 0.08/0.10 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Mon Aug 28 23:47:46 EDT 2023
% 0.09/0.29 % CPUTime :
% 0.14/0.46 start to proof: theBenchmark
% 24.05/24.17 % Version : CSE_E---1.5
% 24.05/24.17 % Problem : theBenchmark.p
% 24.05/24.17 % Proof found
% 24.05/24.17 % SZS status Theorem for theBenchmark.p
% 24.05/24.17 % SZS output start Proof
% See solution above
% 24.05/24.17 % Total time : 23.700000 s
% 24.05/24.17 % SZS output end Proof
% 24.05/24.17 % Total time : 23.703000 s
%------------------------------------------------------------------------------