TSTP Solution File: GRP492-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GRP492-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n029.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 00:20:32 EDT 2023
% Result : Unsatisfiable 0.57s 0.65s
% Output : CNFRefutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 12
% Syntax : Number of formulae : 51 ( 44 unt; 7 typ; 0 def)
% Number of atoms : 44 ( 43 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 5 ( 3 >; 2 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 67 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
identity: $i ).
tff(decl_23,type,
double_divide: ( $i * $i ) > $i ).
tff(decl_24,type,
multiply: ( $i * $i ) > $i ).
tff(decl_25,type,
inverse: $i > $i ).
tff(decl_26,type,
a3: $i ).
tff(decl_27,type,
b3: $i ).
tff(decl_28,type,
c3: $i ).
cnf(identity,axiom,
identity = double_divide(X1,inverse(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
cnf(inverse,axiom,
inverse(X1) = double_divide(X1,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
cnf(single_axiom,axiom,
double_divide(double_divide(identity,X1),double_divide(identity,double_divide(double_divide(double_divide(X1,X2),identity),double_divide(X3,X2)))) = X3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(prove_these_axioms_3,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_3) ).
cnf(multiply,axiom,
multiply(X1,X2) = double_divide(double_divide(X2,X1),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
cnf(c_0_5,axiom,
identity = double_divide(X1,inverse(X1)),
identity ).
cnf(c_0_6,axiom,
inverse(X1) = double_divide(X1,identity),
inverse ).
cnf(c_0_7,axiom,
double_divide(double_divide(identity,X1),double_divide(identity,double_divide(double_divide(double_divide(X1,X2),identity),double_divide(X3,X2)))) = X3,
single_axiom ).
cnf(c_0_8,plain,
identity = double_divide(X1,double_divide(X1,identity)),
inference(rw,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_9,plain,
double_divide(double_divide(identity,X1),double_divide(identity,identity)) = double_divide(double_divide(X1,identity),identity),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_10,plain,
double_divide(double_divide(double_divide(identity,identity),identity),identity) = identity,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_8]),c_0_8]) ).
cnf(c_0_11,plain,
double_divide(identity,double_divide(identity,double_divide(identity,double_divide(X1,identity)))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_10]),c_0_8]) ).
cnf(c_0_12,plain,
double_divide(double_divide(identity,identity),identity) = double_divide(identity,identity),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_10]),c_0_8]) ).
cnf(c_0_13,plain,
double_divide(identity,identity) = identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_12]),c_0_12]) ).
cnf(c_0_14,plain,
double_divide(double_divide(identity,X1),identity) = double_divide(double_divide(X1,identity),identity),
inference(rw,[status(thm)],[c_0_9,c_0_13]) ).
cnf(c_0_15,plain,
double_divide(identity,X1) = double_divide(X1,identity),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_14]),c_0_7]) ).
cnf(c_0_16,plain,
double_divide(X1,double_divide(identity,X1)) = identity,
inference(spm,[status(thm)],[c_0_8,c_0_15]) ).
cnf(c_0_17,plain,
double_divide(double_divide(identity,double_divide(identity,double_divide(X1,identity))),X1) = identity,
inference(spm,[status(thm)],[c_0_16,c_0_11]) ).
cnf(c_0_18,plain,
double_divide(X1,double_divide(identity,double_divide(identity,double_divide(X2,X1)))) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_17]),c_0_11]),c_0_13]) ).
cnf(c_0_19,plain,
double_divide(identity,double_divide(identity,X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_16]),c_0_8]),c_0_15]) ).
cnf(c_0_20,plain,
double_divide(X1,double_divide(X2,X1)) = X2,
inference(rw,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_21,plain,
double_divide(double_divide(identity,X1),double_divide(identity,double_divide(double_divide(identity,double_divide(X1,double_divide(identity,double_divide(double_divide(identity,double_divide(X2,X3)),double_divide(X4,X3))))),X4))) = double_divide(identity,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_7]),c_0_15]),c_0_15]) ).
cnf(c_0_22,plain,
double_divide(double_divide(X1,X2),X1) = X2,
inference(spm,[status(thm)],[c_0_20,c_0_20]) ).
cnf(c_0_23,plain,
double_divide(double_divide(identity,X1),double_divide(identity,double_divide(X1,X2))) = double_divide(identity,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_13]),c_0_20]),c_0_20]),c_0_22]) ).
cnf(c_0_24,plain,
double_divide(double_divide(identity,double_divide(identity,X1)),double_divide(identity,double_divide(double_divide(X2,identity),double_divide(X3,double_divide(identity,double_divide(double_divide(double_divide(X1,X4),identity),double_divide(X2,X4))))))) = X3,
inference(spm,[status(thm)],[c_0_7,c_0_7]) ).
cnf(c_0_25,plain,
double_divide(double_divide(identity,X1),double_divide(identity,X2)) = double_divide(identity,double_divide(X2,X1)),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_26,plain,
double_divide(X1,double_divide(identity,double_divide(double_divide(X2,identity),double_divide(X3,double_divide(identity,double_divide(double_divide(identity,double_divide(X1,X4)),double_divide(X2,X4))))))) = X3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_19]),c_0_15]) ).
cnf(c_0_27,plain,
double_divide(double_divide(X1,identity),double_divide(X2,double_divide(identity,X1))) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_19]),c_0_13]),c_0_19]) ).
cnf(c_0_28,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
prove_these_axioms_3 ).
cnf(c_0_29,axiom,
multiply(X1,X2) = double_divide(double_divide(X2,X1),identity),
multiply ).
cnf(c_0_30,plain,
double_divide(identity,double_divide(double_divide(X1,identity),X2)) = double_divide(double_divide(identity,X2),X1),
inference(spm,[status(thm)],[c_0_25,c_0_20]) ).
cnf(c_0_31,plain,
double_divide(identity,double_divide(double_divide(identity,X1),X2)) = double_divide(double_divide(identity,X2),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_19]),c_0_20]),c_0_27]) ).
cnf(c_0_32,plain,
double_divide(identity,double_divide(identity,double_divide(identity,double_divide(identity,X1)))) = X1,
inference(spm,[status(thm)],[c_0_11,c_0_15]) ).
cnf(c_0_33,negated_conjecture,
double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) != double_divide(double_divide(double_divide(double_divide(c3,b3),identity),a3),identity),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_29]),c_0_29]),c_0_29]),c_0_29]) ).
cnf(c_0_34,plain,
double_divide(X1,double_divide(double_divide(identity,double_divide(X2,double_divide(double_divide(identity,double_divide(X3,X4)),double_divide(X1,X4)))),X3)) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_30]),c_0_31]) ).
cnf(c_0_35,plain,
double_divide(double_divide(identity,X1),X1) = identity,
inference(spm,[status(thm)],[c_0_18,c_0_32]) ).
cnf(c_0_36,negated_conjecture,
double_divide(identity,double_divide(double_divide(identity,double_divide(c3,b3)),a3)) != double_divide(identity,double_divide(c3,double_divide(identity,double_divide(b3,a3)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_15]),c_0_15]),c_0_15]),c_0_15]) ).
cnf(c_0_37,plain,
double_divide(double_divide(identity,double_divide(X1,X2)),double_divide(X3,X2)) = double_divide(X1,double_divide(identity,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_13]),c_0_31]) ).
cnf(c_0_38,negated_conjecture,
double_divide(identity,double_divide(c3,double_divide(identity,double_divide(b3,a3)))) != double_divide(double_divide(identity,a3),double_divide(c3,b3)),
inference(rw,[status(thm)],[c_0_36,c_0_31]) ).
cnf(c_0_39,plain,
double_divide(identity,double_divide(X1,double_divide(identity,X2))) = double_divide(X2,double_divide(identity,X1)),
inference(spm,[status(thm)],[c_0_25,c_0_19]) ).
cnf(c_0_40,plain,
double_divide(double_divide(identity,double_divide(X1,X2)),X3) = double_divide(X1,double_divide(identity,double_divide(X2,X3))),
inference(spm,[status(thm)],[c_0_37,c_0_22]) ).
cnf(c_0_41,negated_conjecture,
double_divide(double_divide(b3,a3),double_divide(identity,c3)) != double_divide(double_divide(identity,a3),double_divide(c3,b3)),
inference(rw,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_42,plain,
double_divide(double_divide(X1,X2),double_divide(identity,X3)) = double_divide(double_divide(identity,X2),double_divide(X3,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_40]),c_0_39]) ).
cnf(c_0_43,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_42])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP492-1 : TPTP v8.1.2. Released v2.6.0.
% 0.06/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 29 00:55:26 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.42/0.59 start to proof: theBenchmark
% 0.57/0.65 % Version : CSE_E---1.5
% 0.57/0.65 % Problem : theBenchmark.p
% 0.57/0.65 % Proof found
% 0.57/0.65 % SZS status Theorem for theBenchmark.p
% 0.57/0.65 % SZS output start Proof
% See solution above
% 0.57/0.65 % Total time : 0.049000 s
% 0.57/0.65 % SZS output end Proof
% 0.57/0.65 % Total time : 0.051000 s
%------------------------------------------------------------------------------