TSTP Solution File: GRP720-2 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GRP720-2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n027.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 00:23:21 EDT 2023
% Result : Unsatisfiable 90.54s 90.63s
% Output : CNFRefutation 90.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 12
% Syntax : Number of formulae : 66 ( 61 unt; 5 typ; 0 def)
% Number of atoms : 61 ( 60 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 14 ( 14 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 4 ( 2 >; 2 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 143 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
unit: $i ).
tff(decl_23,type,
mult: ( $i * $i ) > $i ).
tff(decl_24,type,
ld: ( $i * $i ) > $i ).
tff(decl_25,type,
op_a: $i ).
tff(decl_26,type,
op_b: $i ).
cnf(c06,axiom,
ld(mult(X1,X2),mult(X1,mult(X2,mult(X3,X4)))) = mult(ld(mult(X1,X2),mult(X1,mult(X2,X3))),ld(mult(X1,X2),mult(X1,mult(X2,X4)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c06) ).
cnf(c03,axiom,
mult(X1,ld(X1,X2)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c03) ).
cnf(c01,axiom,
mult(X1,unit) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c01) ).
cnf(c05,axiom,
mult(X1,X2) = mult(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c05) ).
cnf(c04,axiom,
ld(X1,mult(X1,X2)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c04) ).
cnf(c08,axiom,
mult(mult(op_a,op_a),mult(op_b,op_b)) != mult(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c08) ).
cnf(c02,axiom,
mult(unit,X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c02) ).
cnf(c_0_7,axiom,
ld(mult(X1,X2),mult(X1,mult(X2,mult(X3,X4)))) = mult(ld(mult(X1,X2),mult(X1,mult(X2,X3))),ld(mult(X1,X2),mult(X1,mult(X2,X4)))),
c06 ).
cnf(c_0_8,axiom,
mult(X1,ld(X1,X2)) = X2,
c03 ).
cnf(c_0_9,plain,
mult(ld(mult(X1,X2),mult(X1,mult(X2,X3))),ld(mult(X1,X2),mult(X1,X4))) = ld(mult(X1,X2),mult(X1,mult(X2,mult(X3,ld(X2,X4))))),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_10,axiom,
mult(X1,unit) = X1,
c01 ).
cnf(c_0_11,axiom,
mult(X1,X2) = mult(X2,X1),
c05 ).
cnf(c_0_12,axiom,
ld(X1,mult(X1,X2)) = X2,
c04 ).
cnf(c_0_13,plain,
mult(ld(mult(X1,X2),X1),ld(mult(X1,X2),mult(X1,mult(X2,X3)))) = ld(mult(X1,X2),mult(X1,mult(X2,mult(X3,ld(X2,unit))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]) ).
cnf(c_0_14,plain,
ld(X1,mult(X2,X1)) = X2,
inference(spm,[status(thm)],[c_0_12,c_0_11]) ).
cnf(c_0_15,plain,
ld(X1,X1) = unit,
inference(spm,[status(thm)],[c_0_12,c_0_10]) ).
cnf(c_0_16,plain,
ld(ld(mult(X1,X2),mult(X1,mult(X2,X3))),ld(mult(X1,X2),mult(X1,mult(X2,mult(X3,X4))))) = ld(mult(X1,X2),mult(X1,mult(X2,X4))),
inference(spm,[status(thm)],[c_0_12,c_0_7]) ).
cnf(c_0_17,plain,
mult(X1,ld(mult(X1,X1),X1)) = unit,
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_14]),c_0_8]),c_0_10]),c_0_15]),c_0_11]) ).
cnf(c_0_18,axiom,
mult(mult(op_a,op_a),mult(op_b,op_b)) != mult(X1,X1),
c08 ).
cnf(c_0_19,plain,
ld(ld(mult(X1,X2),mult(X1,mult(X2,X3))),ld(mult(X1,X2),mult(X1,mult(X2,X4)))) = ld(mult(X1,X2),mult(X1,mult(X2,ld(X3,X4)))),
inference(spm,[status(thm)],[c_0_16,c_0_8]) ).
cnf(c_0_20,plain,
ld(mult(X1,X1),X1) = ld(X1,unit),
inference(spm,[status(thm)],[c_0_12,c_0_17]) ).
cnf(c_0_21,axiom,
mult(unit,X1) = X1,
c02 ).
cnf(c_0_22,plain,
ld(mult(X1,X2),mult(X1,mult(X2,mult(X3,X3)))) != mult(mult(op_a,op_a),mult(op_b,op_b)),
inference(spm,[status(thm)],[c_0_18,c_0_7]) ).
cnf(c_0_23,plain,
ld(ld(mult(X1,X2),mult(X1,mult(X2,X3))),ld(mult(X1,X2),mult(X1,X4))) = ld(mult(X1,X2),mult(X1,mult(X2,ld(X3,ld(X2,X4))))),
inference(spm,[status(thm)],[c_0_19,c_0_8]) ).
cnf(c_0_24,plain,
mult(ld(mult(X1,X2),mult(mult(X2,X3),X1)),ld(mult(X1,X2),mult(X1,X4))) = ld(mult(X1,X2),mult(X1,mult(X2,mult(X3,ld(X2,X4))))),
inference(spm,[status(thm)],[c_0_9,c_0_11]) ).
cnf(c_0_25,plain,
mult(mult(X1,X1),ld(X1,unit)) = X1,
inference(spm,[status(thm)],[c_0_8,c_0_20]) ).
cnf(c_0_26,plain,
ld(unit,X1) = X1,
inference(spm,[status(thm)],[c_0_21,c_0_8]) ).
cnf(c_0_27,plain,
ld(mult(X1,X2),mult(X1,mult(mult(X3,X3),X2))) != mult(mult(op_a,op_a),mult(op_b,op_b)),
inference(spm,[status(thm)],[c_0_22,c_0_11]) ).
cnf(c_0_28,plain,
ld(ld(mult(X1,X2),mult(X1,mult(X2,X3))),unit) = ld(mult(X1,X2),mult(X1,mult(X2,ld(X3,unit)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_15]),c_0_15]) ).
cnf(c_0_29,plain,
mult(ld(X1,unit),mult(X1,X2)) = mult(X1,mult(ld(X1,unit),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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_11]),c_0_8]),c_0_26]),c_0_11]),c_0_8]),c_0_26]),c_0_11]),c_0_8]),c_0_8]),c_0_26]) ).
cnf(c_0_30,plain,
ld(mult(X1,ld(mult(X2,X2),X3)),mult(X1,X3)) != mult(mult(op_a,op_a),mult(op_b,op_b)),
inference(spm,[status(thm)],[c_0_27,c_0_8]) ).
cnf(c_0_31,plain,
ld(mult(X1,mult(ld(X1,unit),X2)),unit) = mult(X1,mult(ld(X1,unit),ld(X2,unit))),
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_28,c_0_29]),c_0_11]),c_0_8]),c_0_26]),c_0_11]),c_0_8]),c_0_29]),c_0_26]) ).
cnf(c_0_32,plain,
ld(mult(X1,X2),mult(X1,mult(X2,mult(X3,ld(X2,ld(X1,X4)))))) = mult(ld(mult(X1,X2),mult(X1,mult(X2,X3))),ld(mult(X1,X2),X4)),
inference(spm,[status(thm)],[c_0_9,c_0_8]) ).
cnf(c_0_33,plain,
ld(mult(X1,ld(X2,unit)),mult(X1,X2)) != mult(mult(op_a,op_a),mult(op_b,op_b)),
inference(spm,[status(thm)],[c_0_30,c_0_20]) ).
cnf(c_0_34,plain,
ld(mult(X1,mult(X2,ld(X1,unit))),unit) = mult(X1,mult(ld(X1,unit),ld(X2,unit))),
inference(spm,[status(thm)],[c_0_31,c_0_11]) ).
cnf(c_0_35,plain,
mult(ld(mult(X1,X2),mult(X1,mult(X2,X2))),ld(mult(X1,X2),X3)) = ld(mult(X1,X2),mult(X1,mult(X2,ld(X1,X3)))),
inference(spm,[status(thm)],[c_0_32,c_0_8]) ).
cnf(c_0_36,plain,
mult(X1,mult(ld(X1,unit),ld(X1,X2))) = mult(ld(X1,unit),X2),
inference(spm,[status(thm)],[c_0_29,c_0_8]) ).
cnf(c_0_37,plain,
ld(mult(X1,ld(ld(X1,X2),unit)),X2) != mult(mult(op_a,op_a),mult(op_b,op_b)),
inference(spm,[status(thm)],[c_0_33,c_0_8]) ).
cnf(c_0_38,plain,
ld(ld(X1,X2),X2) = X1,
inference(spm,[status(thm)],[c_0_14,c_0_8]) ).
cnf(c_0_39,plain,
ld(ld(mult(X1,X2),mult(X1,X3)),ld(mult(X1,X2),mult(X1,mult(X2,mult(X4,ld(X2,X3)))))) = ld(mult(X1,X2),mult(X1,mult(X2,X4))),
inference(spm,[status(thm)],[c_0_14,c_0_9]) ).
cnf(c_0_40,plain,
mult(X1,mult(ld(X1,unit),ld(X2,unit))) = mult(X1,ld(mult(X1,X2),unit)),
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_34,c_0_35]),c_0_8]),c_0_34]),c_0_28]),c_0_8]),c_0_10]),c_0_36]),c_0_11]) ).
cnf(c_0_41,plain,
ld(mult(ld(X1,X2),ld(X1,unit)),X2) != mult(mult(op_a,op_a),mult(op_b,op_b)),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_42,plain,
ld(ld(mult(X1,X2),X1),ld(mult(X1,X2),mult(X1,mult(X2,mult(X3,ld(X2,unit)))))) = ld(mult(X1,X2),mult(X1,mult(X2,X3))),
inference(spm,[status(thm)],[c_0_39,c_0_10]) ).
cnf(c_0_43,plain,
ld(X1,mult(ld(X1,unit),X2)) = mult(ld(X1,unit),ld(X1,X2)),
inference(spm,[status(thm)],[c_0_12,c_0_36]) ).
cnf(c_0_44,plain,
mult(ld(X1,unit),ld(X2,unit)) = ld(mult(X1,X2),unit),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_40]),c_0_12]) ).
cnf(c_0_45,plain,
ld(mult(ld(X1,unit),ld(X1,X2)),X2) != mult(mult(op_a,op_a),mult(op_b,op_b)),
inference(spm,[status(thm)],[c_0_41,c_0_11]) ).
cnf(c_0_46,plain,
ld(mult(X1,X2),mult(X1,mult(X2,X2))) = ld(ld(mult(X1,X2),X1),unit),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_8]),c_0_10]),c_0_15]) ).
cnf(c_0_47,plain,
ld(ld(X1,unit),mult(X1,X2)) = mult(X1,ld(ld(X1,unit),X2)),
inference(spm,[status(thm)],[c_0_43,c_0_38]) ).
cnf(c_0_48,plain,
ld(ld(X1,unit),ld(mult(X1,X2),unit)) = ld(X2,unit),
inference(spm,[status(thm)],[c_0_12,c_0_44]) ).
cnf(c_0_49,plain,
mult(ld(mult(X1,X2),mult(X1,X3)),ld(mult(X1,X2),mult(X1,mult(X2,X4)))) = ld(mult(X1,X2),mult(X1,mult(X2,mult(X4,ld(X2,X3))))),
inference(spm,[status(thm)],[c_0_11,c_0_9]) ).
cnf(c_0_50,plain,
mult(X1,ld(ld(X1,unit),mult(X2,X2))) != mult(mult(op_a,op_a),mult(op_b,op_b)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_44]),c_0_8]),c_0_47]) ).
cnf(c_0_51,plain,
ld(ld(X1,unit),ld(X2,unit)) = ld(ld(X1,X2),unit),
inference(spm,[status(thm)],[c_0_48,c_0_8]) ).
cnf(c_0_52,plain,
mult(ld(mult(X1,X2),mult(X1,X3)),ld(mult(X1,X2),mult(X1,X4))) = ld(mult(X1,X2),mult(X1,mult(X2,mult(ld(X2,X4),ld(X2,X3))))),
inference(spm,[status(thm)],[c_0_49,c_0_8]) ).
cnf(c_0_53,plain,
mult(X1,ld(ld(X1,mult(X2,X2)),unit)) != mult(mult(op_a,op_a),mult(op_b,op_b)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_44]),c_0_51]) ).
cnf(c_0_54,plain,
ld(mult(X1,X2),mult(X1,mult(X2,ld(ld(X2,X3),unit)))) = ld(ld(mult(X1,X2),mult(X1,X3)),unit),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_52]),c_0_23]),c_0_20]) ).
cnf(c_0_55,plain,
mult(X1,mult(X2,ld(ld(X2,X1),unit))) != mult(mult(op_a,op_a),mult(op_b,op_b)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_38]),c_0_8]),c_0_11]) ).
cnf(c_0_56,plain,
mult(mult(X1,X2),mult(ld(mult(X1,X2),mult(X1,mult(X2,X3))),ld(mult(X1,X2),X4))) = mult(X1,mult(X2,mult(X3,ld(X2,ld(X1,X4))))),
inference(spm,[status(thm)],[c_0_8,c_0_32]) ).
cnf(c_0_57,plain,
mult(X1,mult(X1,mult(X2,X2))) != mult(mult(op_a,op_a),mult(op_b,op_b)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_46]),c_0_38]),c_0_8]),c_0_11]) ).
cnf(c_0_58,plain,
mult(X1,mult(X2,mult(X3,ld(X2,ld(X1,mult(mult(X1,X2),X4)))))) = mult(mult(X1,X2),mult(ld(mult(X1,X2),mult(X1,mult(X2,X3))),X4)),
inference(spm,[status(thm)],[c_0_56,c_0_12]) ).
cnf(c_0_59,plain,
mult(mult(X1,X1),mult(X2,X2)) != mult(mult(op_a,op_a),mult(op_b,op_b)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_8]),c_0_8]),c_0_12]) ).
cnf(c_0_60,plain,
$false,
inference(er,[status(thm)],[c_0_59]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP720-2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 28 22:30:07 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.57 start to proof: theBenchmark
% 90.54/90.63 % Version : CSE_E---1.5
% 90.54/90.63 % Problem : theBenchmark.p
% 90.54/90.63 % Proof found
% 90.54/90.63 % SZS status Theorem for theBenchmark.p
% 90.54/90.63 % SZS output start Proof
% See solution above
% 90.54/90.64 % Total time : 90.067000 s
% 90.54/90.64 % SZS output end Proof
% 90.54/90.64 % Total time : 90.073000 s
%------------------------------------------------------------------------------