TSTP Solution File: GRP121-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GRP121-1 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n024.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 00:16:08 EDT 2023
% Result : Unsatisfiable 0.20s 0.58s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 6
% Syntax : Number of formulae : 44 ( 41 unt; 3 typ; 0 def)
% Number of atoms : 41 ( 40 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 : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 60 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
multiply: ( $i * $i ) > $i ).
tff(decl_23,type,
identity: $i ).
tff(decl_24,type,
a: $i ).
cnf(single_axiom,axiom,
multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X1),multiply(X2,X3))),multiply(X3,multiply(X3,X3)))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(single_axiom2,axiom,
multiply(identity,identity) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom2) ).
cnf(prove_order3,negated_conjecture,
multiply(a,identity) != a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_order3) ).
cnf(c_0_3,axiom,
multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X1),multiply(X2,X3))),multiply(X3,multiply(X3,X3)))) = X2,
single_axiom ).
cnf(c_0_4,axiom,
multiply(identity,identity) = identity,
single_axiom2 ).
cnf(c_0_5,plain,
multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X1),multiply(X2,identity))),identity)) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_4]),c_0_4]) ).
cnf(c_0_6,plain,
multiply(identity,multiply(multiply(identity,multiply(identity,multiply(X1,identity))),identity)) = X1,
inference(spm,[status(thm)],[c_0_5,c_0_4]) ).
cnf(c_0_7,plain,
multiply(multiply(X1,X1),multiply(multiply(multiply(X1,X1),multiply(X1,X1)),multiply(X2,identity))) = multiply(X1,multiply(multiply(X1,X2),identity)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_5]),c_0_4]),c_0_4]) ).
cnf(c_0_8,plain,
multiply(identity,multiply(multiply(identity,X1),identity)) = multiply(identity,multiply(identity,multiply(X1,identity))),
inference(spm,[status(thm)],[c_0_6,c_0_6]) ).
cnf(c_0_9,plain,
multiply(multiply(X1,X1),multiply(multiply(X1,multiply(multiply(X1,X2),identity)),identity)) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_7]),c_0_4]),c_0_4]) ).
cnf(c_0_10,plain,
multiply(identity,multiply(multiply(identity,multiply(identity,multiply(X1,X2))),multiply(X2,multiply(X2,X2)))) = X1,
inference(spm,[status(thm)],[c_0_3,c_0_4]) ).
cnf(c_0_11,plain,
multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X1,identity),identity)))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_8]),c_0_8]) ).
cnf(c_0_12,plain,
multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X1),identity)),identity)) = identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_4]),c_0_4]),c_0_4]) ).
cnf(c_0_13,plain,
multiply(multiply(identity,multiply(identity,multiply(X1,X2))),multiply(X2,multiply(X2,X2))) = multiply(identity,multiply(identity,multiply(multiply(X1,identity),identity))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_4]),c_0_8]) ).
cnf(c_0_14,plain,
multiply(multiply(identity,X1),identity) = multiply(identity,multiply(X1,identity)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_8]),c_0_4]),c_0_8]),c_0_8]),c_0_11]) ).
cnf(c_0_15,plain,
multiply(multiply(X1,X1),multiply(multiply(multiply(X1,X1),multiply(X1,X1)),identity)) = multiply(X1,multiply(multiply(X1,identity),identity)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_12]),c_0_4]),c_0_4]) ).
cnf(c_0_16,plain,
multiply(multiply(identity,X1),multiply(multiply(X2,multiply(X2,X2)),multiply(multiply(X2,multiply(X2,X2)),multiply(X2,multiply(X2,X2))))) = multiply(identity,multiply(X1,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_13,c_0_13]),c_0_11]),c_0_14]),c_0_14]),c_0_14]),c_0_14]),c_0_11]) ).
cnf(c_0_17,plain,
multiply(X1,multiply(multiply(X1,multiply(X1,multiply(multiply(X1,identity),identity))),identity)) = multiply(multiply(X1,X1),multiply(X1,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_15]),c_0_4]),c_0_4]) ).
cnf(c_0_18,plain,
multiply(identity,multiply(multiply(X1,multiply(X1,X1)),multiply(multiply(X1,multiply(X1,X1)),multiply(X1,multiply(X1,X1))))) = multiply(identity,multiply(identity,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(spm,[status(thm)],[c_0_16,c_0_17]),c_0_4]),c_0_4]),c_0_4]),c_0_4]),c_0_4]),c_0_4]),c_0_4]),c_0_4]) ).
cnf(c_0_19,plain,
multiply(multiply(X1,multiply(multiply(X1,X1),multiply(X2,X3))),multiply(X3,multiply(X3,X3))) = multiply(multiply(X1,X1),multiply(multiply(X1,multiply(X2,identity)),identity)),
inference(spm,[status(thm)],[c_0_9,c_0_3]) ).
cnf(c_0_20,plain,
multiply(multiply(X1,multiply(X1,X1)),multiply(multiply(X1,multiply(X1,X1)),multiply(X1,multiply(X1,X1)))) = multiply(identity,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_9,c_0_18]),c_0_4]),c_0_14]),c_0_14]),c_0_14]),c_0_8]),c_0_8]),c_0_11]) ).
cnf(c_0_21,plain,
multiply(identity,multiply(multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))),X2)) = multiply(identity,multiply(identity,multiply(multiply(X1,identity),identity))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_16]),c_0_4]),c_0_4]),c_0_14]) ).
cnf(c_0_22,plain,
multiply(multiply(identity,X1),multiply(identity,X2)) = multiply(identity,multiply(X1,X2)),
inference(rw,[status(thm)],[c_0_16,c_0_20]) ).
cnf(c_0_23,plain,
multiply(multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))),X2) = multiply(identity,multiply(multiply(X1,identity),identity)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_21]),c_0_4]),c_0_8]),c_0_8]),c_0_11]) ).
cnf(c_0_24,plain,
multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(X1,identity),identity))),X2)) = multiply(X1,multiply(identity,X2)),
inference(spm,[status(thm)],[c_0_22,c_0_11]) ).
cnf(c_0_25,plain,
multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X1),multiply(identity,multiply(X2,identity)))),identity)) = multiply(identity,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_14]),c_0_4]),c_0_4]) ).
cnf(c_0_26,plain,
multiply(multiply(X1,multiply(identity,multiply(X2,multiply(X2,X2)))),X2) = multiply(multiply(X1,identity),identity),
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_23,c_0_24]),c_0_14]),c_0_8]),c_0_14]),c_0_14]),c_0_11]) ).
cnf(c_0_27,plain,
multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X1),X2)),identity)) = multiply(identity,multiply(identity,multiply(identity,multiply(X2,identity)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_5]),c_0_4]) ).
cnf(c_0_28,plain,
multiply(multiply(multiply(X1,multiply(identity,multiply(identity,multiply(identity,X2)))),identity),identity) = multiply(multiply(multiply(X1,identity),identity),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_26]),c_0_22]),c_0_22]),c_0_20]) ).
cnf(c_0_29,plain,
multiply(multiply(X1,multiply(multiply(X1,X1),X2)),identity) = multiply(multiply(X1,X1),multiply(multiply(X1,X2),identity)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_27]),c_0_14]),c_0_14]),c_0_14]),c_0_11]) ).
cnf(c_0_30,plain,
multiply(X1,multiply(multiply(multiply(X1,identity),identity),multiply(multiply(multiply(X1,identity),identity),multiply(multiply(X1,identity),identity)))) = identity,
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_11]),c_0_4]),c_0_4]),c_0_4]),c_0_4]) ).
cnf(c_0_31,plain,
multiply(multiply(multiply(X1,identity),identity),multiply(multiply(X2,identity),identity)) = multiply(multiply(multiply(X1,X2),identity),identity),
inference(spm,[status(thm)],[c_0_28,c_0_11]) ).
cnf(c_0_32,plain,
multiply(X1,multiply(multiply(X1,X1),multiply(multiply(X1,X2),identity))) = multiply(identity,multiply(identity,multiply(identity,multiply(X2,identity)))),
inference(rw,[status(thm)],[c_0_27,c_0_29]) ).
cnf(c_0_33,plain,
multiply(X1,multiply(multiply(multiply(X1,multiply(X1,X1)),identity),identity)) = identity,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_31]) ).
cnf(c_0_34,plain,
multiply(multiply(X1,multiply(X1,X1)),identity) = multiply(X1,multiply(multiply(X1,X1),identity)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_4]),c_0_11]) ).
cnf(c_0_35,plain,
multiply(X1,multiply(multiply(X1,X1),multiply(X1,multiply(multiply(X1,X1),identity)))) = multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X1,X1),identity)))),
inference(spm,[status(thm)],[c_0_32,c_0_34]) ).
cnf(c_0_36,plain,
multiply(multiply(X1,multiply(identity,multiply(identity,X2))),multiply(X2,multiply(X2,X2))) = multiply(multiply(X1,identity),identity),
inference(spm,[status(thm)],[c_0_26,c_0_20]) ).
cnf(c_0_37,plain,
multiply(multiply(X1,X1),multiply(multiply(X1,multiply(X1,identity)),identity)) = identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_35]),c_0_36]),c_0_4]),c_0_4]) ).
cnf(c_0_38,negated_conjecture,
multiply(a,identity) != a,
prove_order3 ).
cnf(c_0_39,plain,
multiply(X1,identity) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_37]),c_0_11]) ).
cnf(c_0_40,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_39])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP121-1 : TPTP v8.1.2. Released v1.2.0.
% 0.06/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n024.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 : Tue Aug 29 01:43:23 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.55 start to proof: theBenchmark
% 0.20/0.58 % Version : CSE_E---1.5
% 0.20/0.58 % Problem : theBenchmark.p
% 0.20/0.58 % Proof found
% 0.20/0.58 % SZS status Theorem for theBenchmark.p
% 0.20/0.58 % SZS output start Proof
% See solution above
% 0.20/0.59 % Total time : 0.026000 s
% 0.20/0.59 % SZS output end Proof
% 0.20/0.59 % Total time : 0.029000 s
%------------------------------------------------------------------------------