TSTP Solution File: GRP697-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GRP697-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n013.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 00:23:12 EDT 2023
% Result : Unsatisfiable 91.03s 91.36s
% Output : CNFRefutation 91.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 20
% Syntax : Number of formulae : 92 ( 84 unt; 8 typ; 0 def)
% Number of atoms : 84 ( 83 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 : 5 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 7 ( 4 >; 3 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 157 ( 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,
unit: $i ).
tff(decl_26,type,
i: $i > $i ).
tff(decl_27,type,
a: $i ).
tff(decl_28,type,
b: $i ).
tff(decl_29,type,
c: $i ).
cnf(c02,axiom,
ld(X1,mult(X1,X2)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c02) ).
cnf(c11,axiom,
mult(X1,i(X1)) = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c11) ).
cnf(c04,axiom,
rd(mult(X1,X2),X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c04) ).
cnf(c10,axiom,
mult(i(X1),X1) = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c10) ).
cnf(c03,axiom,
mult(rd(X1,X2),X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c03) ).
cnf(c07,axiom,
mult(X1,i(mult(X2,X1))) = i(X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c07) ).
cnf(c01,axiom,
mult(X1,ld(X1,X2)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c01) ).
cnf(c08,axiom,
mult(X1,mult(X2,X3)) = mult(rd(mult(X1,X2),X1),mult(X1,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c08) ).
cnf(c05,axiom,
mult(X1,unit) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c05) ).
cnf(c09,axiom,
mult(mult(X1,X2),X3) = mult(mult(X1,X3),ld(X3,mult(X2,X3))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c09) ).
cnf(c06,axiom,
mult(unit,X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c06) ).
cnf(goals,negated_conjecture,
mult(mult(a,b),mult(b,mult(c,b))) != mult(mult(a,mult(b,mult(b,c))),b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(c_0_12,axiom,
ld(X1,mult(X1,X2)) = X2,
c02 ).
cnf(c_0_13,axiom,
mult(X1,i(X1)) = unit,
c11 ).
cnf(c_0_14,axiom,
rd(mult(X1,X2),X2) = X1,
c04 ).
cnf(c_0_15,axiom,
mult(i(X1),X1) = unit,
c10 ).
cnf(c_0_16,plain,
ld(X1,unit) = i(X1),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,plain,
i(X1) = rd(unit,X1),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,axiom,
mult(rd(X1,X2),X2) = X1,
c03 ).
cnf(c_0_19,axiom,
mult(X1,i(mult(X2,X1))) = i(X2),
c07 ).
cnf(c_0_20,plain,
ld(X1,unit) = rd(unit,X1),
inference(rw,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,plain,
ld(rd(X1,X2),X1) = X2,
inference(spm,[status(thm)],[c_0_12,c_0_18]) ).
cnf(c_0_22,plain,
mult(X1,rd(unit,mult(X2,X1))) = rd(unit,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_17]),c_0_17]) ).
cnf(c_0_23,axiom,
mult(X1,ld(X1,X2)) = X2,
c01 ).
cnf(c_0_24,axiom,
mult(X1,mult(X2,X3)) = mult(rd(mult(X1,X2),X1),mult(X1,X3)),
c08 ).
cnf(c_0_25,plain,
mult(X1,rd(unit,X1)) = unit,
inference(rw,[status(thm)],[c_0_13,c_0_17]) ).
cnf(c_0_26,axiom,
mult(X1,unit) = X1,
c05 ).
cnf(c_0_27,plain,
rd(unit,rd(unit,X1)) = X1,
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_28,plain,
ld(X1,rd(unit,X2)) = rd(unit,mult(X2,X1)),
inference(spm,[status(thm)],[c_0_12,c_0_22]) ).
cnf(c_0_29,plain,
rd(X1,ld(X2,X1)) = X2,
inference(spm,[status(thm)],[c_0_14,c_0_23]) ).
cnf(c_0_30,plain,
rd(unit,rd(X1,X2)) = mult(X2,rd(unit,X1)),
inference(spm,[status(thm)],[c_0_22,c_0_18]) ).
cnf(c_0_31,plain,
mult(X1,mult(X2,rd(unit,X1))) = rd(mult(X1,X2),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).
cnf(c_0_32,plain,
mult(rd(unit,mult(X1,X2)),X1) = rd(unit,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_22]),c_0_27]) ).
cnf(c_0_33,plain,
rd(unit,mult(rd(unit,X1),X2)) = ld(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_20]) ).
cnf(c_0_34,plain,
rd(unit,mult(X1,rd(unit,X2))) = rd(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_30]),c_0_20]) ).
cnf(c_0_35,plain,
ld(X1,rd(mult(X1,X2),X1)) = mult(X2,rd(unit,X1)),
inference(spm,[status(thm)],[c_0_12,c_0_31]) ).
cnf(c_0_36,plain,
mult(rd(unit,X1),rd(X1,X2)) = rd(unit,X2),
inference(spm,[status(thm)],[c_0_32,c_0_18]) ).
cnf(c_0_37,plain,
rd(rd(unit,X1),X2) = rd(unit,mult(X2,X1)),
inference(spm,[status(thm)],[c_0_14,c_0_32]) ).
cnf(c_0_38,plain,
ld(rd(unit,X1),X2) = rd(X1,rd(unit,X2)),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_39,plain,
rd(unit,ld(X1,X2)) = mult(rd(unit,X2),X1),
inference(spm,[status(thm)],[c_0_32,c_0_23]) ).
cnf(c_0_40,plain,
rd(X1,unit) = X1,
inference(spm,[status(thm)],[c_0_26,c_0_18]) ).
cnf(c_0_41,axiom,
mult(mult(X1,X2),X3) = mult(mult(X1,X3),ld(X3,mult(X2,X3))),
c09 ).
cnf(c_0_42,plain,
ld(X1,mult(X2,rd(unit,X3))) = rd(unit,mult(rd(X3,X2),X1)),
inference(spm,[status(thm)],[c_0_28,c_0_30]) ).
cnf(c_0_43,axiom,
mult(unit,X1) = X1,
c06 ).
cnf(c_0_44,plain,
rd(X1,mult(rd(unit,X1),X2)) = mult(rd(X1,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(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]),c_0_33]),c_0_38]),c_0_39]),c_0_30]),c_0_40]),c_0_26]) ).
cnf(c_0_45,plain,
rd(X1,rd(X1,X2)) = mult(mult(X1,X2),rd(unit,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_25]),c_0_42]),c_0_34]),c_0_43]) ).
cnf(c_0_46,plain,
rd(X1,X1) = unit,
inference(spm,[status(thm)],[c_0_14,c_0_43]) ).
cnf(c_0_47,plain,
mult(ld(X1,X2),rd(unit,X1)) = ld(X1,rd(X2,X1)),
inference(spm,[status(thm)],[c_0_35,c_0_23]) ).
cnf(c_0_48,plain,
rd(mult(X1,ld(X2,X1)),X1) = mult(X1,rd(unit,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]) ).
cnf(c_0_49,plain,
rd(X1,rd(X2,rd(unit,X1))) = rd(unit,X2),
inference(spm,[status(thm)],[c_0_34,c_0_18]) ).
cnf(c_0_50,plain,
rd(mult(X1,X2),rd(unit,X2)) = mult(X1,mult(X2,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_32]),c_0_24]) ).
cnf(c_0_51,plain,
mult(ld(X1,X2),rd(unit,X2)) = rd(unit,X1),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_52,plain,
mult(mult(X1,X1),rd(unit,X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_40]) ).
cnf(c_0_53,plain,
rd(X1,ld(X1,X2)) = mult(mult(X1,rd(unit,X2)),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_47]),c_0_39]),c_0_30]) ).
cnf(c_0_54,plain,
mult(mult(X1,rd(unit,X2)),X1) = mult(X1,ld(X2,X1)),
inference(spm,[status(thm)],[c_0_18,c_0_48]) ).
cnf(c_0_55,plain,
rd(X1,mult(X2,mult(X1,X1))) = rd(unit,mult(X2,X1)),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_56,plain,
mult(ld(X1,rd(X2,X3)),mult(X3,rd(unit,X2))) = rd(unit,X1),
inference(spm,[status(thm)],[c_0_51,c_0_30]) ).
cnf(c_0_57,plain,
rd(X1,rd(unit,X1)) = mult(X1,X1),
inference(spm,[status(thm)],[c_0_14,c_0_52]) ).
cnf(c_0_58,plain,
mult(rd(X1,mult(X2,X1)),X1) = ld(X2,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_44,c_0_31]),c_0_49]),c_0_33]),c_0_30]),c_0_40]),c_0_26]) ).
cnf(c_0_59,plain,
rd(X1,ld(X1,X2)) = mult(X1,ld(X2,X1)),
inference(rw,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_60,plain,
rd(unit,mult(X1,ld(X2,X3))) = rd(mult(rd(unit,X3),X2),X1),
inference(spm,[status(thm)],[c_0_37,c_0_39]) ).
cnf(c_0_61,plain,
rd(X1,ld(X2,mult(X1,X1))) = ld(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_37]),c_0_33]),c_0_57]),c_0_34]) ).
cnf(c_0_62,plain,
ld(rd(X1,X2),X2) = mult(rd(X2,X1),X2),
inference(spm,[status(thm)],[c_0_58,c_0_18]) ).
cnf(c_0_63,plain,
rd(mult(rd(unit,X1),X2),X1) = ld(X1,rd(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_59]),c_0_60]),c_0_47]) ).
cnf(c_0_64,plain,
ld(ld(X1,X2),X1) = ld(X2,mult(X1,X1)),
inference(spm,[status(thm)],[c_0_21,c_0_61]) ).
cnf(c_0_65,plain,
rd(ld(X1,X2),X2) = rd(X2,mult(X1,X2)),
inference(spm,[status(thm)],[c_0_14,c_0_58]) ).
cnf(c_0_66,plain,
ld(rd(X1,X2),mult(X2,X2)) = mult(mult(rd(X2,X1),X2),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64]),c_0_44]) ).
cnf(c_0_67,plain,
rd(X1,mult(rd(X1,X2),X1)) = rd(X2,X1),
inference(spm,[status(thm)],[c_0_65,c_0_21]) ).
cnf(c_0_68,plain,
ld(X1,rd(mult(X1,X1),X2)) = rd(X1,X2),
inference(spm,[status(thm)],[c_0_61,c_0_21]) ).
cnf(c_0_69,plain,
mult(ld(X1,X2),X2) = ld(X1,mult(X2,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_14]),c_0_58]) ).
cnf(c_0_70,plain,
rd(ld(X1,mult(X2,X2)),X2) = rd(X2,mult(ld(X2,X1),X2)),
inference(spm,[status(thm)],[c_0_67,c_0_61]) ).
cnf(c_0_71,plain,
mult(X1,rd(X1,X2)) = rd(mult(X1,X1),X2),
inference(spm,[status(thm)],[c_0_23,c_0_68]) ).
cnf(c_0_72,plain,
rd(X1,mult(ld(X1,X2),X1)) = ld(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_69]),c_0_70]) ).
cnf(c_0_73,plain,
mult(mult(X1,X2),rd(unit,mult(X1,mult(X3,X2)))) = mult(X1,rd(unit,mult(X1,X3))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_24]),c_0_30]) ).
cnf(c_0_74,plain,
rd(mult(X1,X1),ld(X2,X1)) = mult(X1,X2),
inference(spm,[status(thm)],[c_0_71,c_0_29]) ).
cnf(c_0_75,plain,
ld(mult(X1,X2),X1) = rd(X1,mult(X2,X1)),
inference(spm,[status(thm)],[c_0_72,c_0_12]) ).
cnf(c_0_76,plain,
rd(mult(X1,X1),rd(X1,X2)) = rd(mult(X1,mult(X1,X2)),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_45]),c_0_31]) ).
cnf(c_0_77,plain,
mult(mult(X1,X2),rd(X3,X1)) = mult(X1,rd(mult(X2,X3),X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_32]),c_0_34]),c_0_34]) ).
cnf(c_0_78,plain,
rd(mult(X1,mult(X1,mult(X2,X1))),X1) = mult(X1,mult(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_76]) ).
cnf(c_0_79,plain,
mult(X1,rd(mult(X2,mult(X3,X1)),X1)) = mult(mult(X1,X2),X3),
inference(spm,[status(thm)],[c_0_77,c_0_14]) ).
cnf(c_0_80,plain,
mult(mult(X1,mult(X1,X2)),mult(X1,X3)) = mult(X1,mult(mult(X1,mult(X2,X1)),X3)),
inference(spm,[status(thm)],[c_0_24,c_0_78]) ).
cnf(c_0_81,negated_conjecture,
mult(mult(a,b),mult(b,mult(c,b))) != mult(mult(a,mult(b,mult(b,c))),b),
goals ).
cnf(c_0_82,plain,
mult(mult(X1,mult(X2,mult(X2,X3))),X2) = mult(mult(X1,X2),mult(X2,mult(X3,X2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_79]) ).
cnf(c_0_83,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_81,c_0_82])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP697-1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 22:25:31 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.54 start to proof: theBenchmark
% 91.03/91.36 % Version : CSE_E---1.5
% 91.03/91.36 % Problem : theBenchmark.p
% 91.03/91.36 % Proof found
% 91.03/91.36 % SZS status Theorem for theBenchmark.p
% 91.03/91.36 % SZS output start Proof
% See solution above
% 91.09/91.36 % Total time : 90.515000 s
% 91.09/91.36 % SZS output end Proof
% 91.09/91.36 % Total time : 90.522000 s
%------------------------------------------------------------------------------