TSTP Solution File: GRP476-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GRP476-1 : 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 : n004.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 00:20:28 EDT 2023
% Result : Unsatisfiable 0.18s 0.60s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 8
% Syntax : Number of formulae : 36 ( 31 unt; 5 typ; 0 def)
% Number of atoms : 31 ( 30 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 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 : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 105 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
divide: ( $i * $i ) > $i ).
tff(decl_23,type,
inverse: $i > $i ).
tff(decl_24,type,
multiply: ( $i * $i ) > $i ).
tff(decl_25,type,
b2: $i ).
tff(decl_26,type,
a2: $i ).
cnf(single_axiom,axiom,
divide(inverse(divide(divide(divide(X1,X2),X3),divide(X4,X3))),divide(X2,X1)) = X4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(prove_these_axioms_2,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_2) ).
cnf(multiply,axiom,
multiply(X1,X2) = divide(X1,inverse(X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
cnf(c_0_3,axiom,
divide(inverse(divide(divide(divide(X1,X2),X3),divide(X4,X3))),divide(X2,X1)) = X4,
single_axiom ).
cnf(c_0_4,plain,
divide(inverse(divide(divide(divide(X1,X2),divide(X3,X4)),X5)),divide(X2,X1)) = inverse(divide(divide(divide(X4,X3),X6),divide(X5,X6))),
inference(spm,[status(thm)],[c_0_3,c_0_3]) ).
cnf(c_0_5,plain,
inverse(divide(divide(divide(X1,X2),X3),divide(divide(X4,divide(X2,X1)),X3))) = X4,
inference(spm,[status(thm)],[c_0_3,c_0_4]) ).
cnf(c_0_6,plain,
divide(inverse(divide(divide(X1,X2),divide(X3,X2))),divide(divide(X4,X5),inverse(divide(divide(divide(X5,X4),X6),divide(X1,X6))))) = X3,
inference(spm,[status(thm)],[c_0_3,c_0_3]) ).
cnf(c_0_7,plain,
divide(inverse(divide(divide(divide(divide(X1,X2),inverse(divide(divide(divide(X2,X1),X3),divide(X4,X3)))),X5),divide(X6,X5))),X4) = X6,
inference(spm,[status(thm)],[c_0_3,c_0_3]) ).
cnf(c_0_8,plain,
inverse(divide(divide(X1,X2),divide(X3,X2))) = inverse(divide(divide(X1,X4),divide(X3,X4))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_3]) ).
cnf(c_0_9,plain,
divide(divide(inverse(divide(divide(divide(X1,X2),X3),X4)),divide(X2,X1)),X3) = X4,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_4]),c_0_3]) ).
cnf(c_0_10,plain,
divide(X1,divide(divide(X2,X3),inverse(divide(divide(divide(X3,X2),X4),divide(divide(X5,X6),X4))))) = divide(X1,divide(X6,X5)),
inference(spm,[status(thm)],[c_0_6,c_0_5]) ).
cnf(c_0_11,plain,
inverse(divide(divide(X1,X2),divide(inverse(divide(divide(divide(X3,X4),X5),divide(X6,X5))),X2))) = inverse(divide(divide(X1,divide(X4,X3)),X6)),
inference(spm,[status(thm)],[c_0_8,c_0_3]) ).
cnf(c_0_12,plain,
divide(divide(X1,X2),inverse(divide(divide(divide(X2,X1),X3),divide(divide(X4,X5),X3)))) = divide(X5,X4),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_9]) ).
cnf(c_0_13,plain,
divide(inverse(divide(X1,divide(X2,X3))),divide(divide(X4,X5),inverse(divide(divide(divide(X5,X4),X3),X1)))) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_11]),c_0_3]) ).
cnf(c_0_14,plain,
inverse(divide(divide(divide(X1,divide(X2,X3)),X4),divide(divide(X5,X6),X4))) = divide(divide(inverse(divide(X6,X5)),divide(X3,X2)),X1),
inference(spm,[status(thm)],[c_0_9,c_0_12]) ).
cnf(c_0_15,plain,
divide(divide(divide(inverse(divide(X1,X2)),divide(X3,X4)),X5),divide(divide(X4,X3),X5)) = divide(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_12]) ).
cnf(c_0_16,plain,
inverse(divide(X1,divide(divide(X2,divide(divide(X3,X4),inverse(divide(divide(divide(X4,X3),X5),X1)))),X5))) = X2,
inference(spm,[status(thm)],[c_0_5,c_0_9]) ).
cnf(c_0_17,plain,
divide(divide(divide(X1,X2),inverse(divide(X3,X4))),inverse(divide(X4,X3))) = divide(X1,X2),
inference(spm,[status(thm)],[c_0_12,c_0_15]) ).
cnf(c_0_18,plain,
divide(inverse(divide(X1,X2)),divide(divide(X3,X4),inverse(divide(X2,X1)))) = divide(X4,X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_15]),c_0_12]) ).
cnf(c_0_19,plain,
inverse(divide(divide(divide(X1,X2),inverse(divide(X2,X1))),X3)) = X3,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]) ).
cnf(c_0_20,plain,
divide(divide(X1,inverse(X2)),X2) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_19]),c_0_3]) ).
cnf(c_0_21,plain,
inverse(divide(X1,X2)) = divide(X2,X1),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_22,plain,
divide(X1,divide(divide(X2,X3),divide(X2,X3))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_21]),c_0_21]) ).
cnf(c_0_23,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
prove_these_axioms_2 ).
cnf(c_0_24,axiom,
multiply(X1,X2) = divide(X1,inverse(X2)),
multiply ).
cnf(c_0_25,plain,
divide(X1,divide(X2,X2)) = X1,
inference(spm,[status(thm)],[c_0_22,c_0_22]) ).
cnf(c_0_26,plain,
divide(X1,inverse(inverse(X2))) = divide(X1,X2),
inference(spm,[status(thm)],[c_0_20,c_0_20]) ).
cnf(c_0_27,negated_conjecture,
divide(divide(inverse(b2),inverse(b2)),inverse(a2)) != a2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_24]),c_0_24]) ).
cnf(c_0_28,plain,
divide(divide(X1,X1),X2) = inverse(X2),
inference(spm,[status(thm)],[c_0_21,c_0_25]) ).
cnf(c_0_29,plain,
inverse(inverse(X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_26]),c_0_9]) ).
cnf(c_0_30,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_28]),c_0_29])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP476-1 : TPTP v8.1.2. Released v2.6.0.
% 0.11/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n004.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 : Mon Aug 28 22:27:22 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.55 start to proof: theBenchmark
% 0.18/0.60 % Version : CSE_E---1.5
% 0.18/0.60 % Problem : theBenchmark.p
% 0.18/0.60 % Proof found
% 0.18/0.60 % SZS status Theorem for theBenchmark.p
% 0.18/0.60 % SZS output start Proof
% See solution above
% 0.18/0.61 % Total time : 0.043000 s
% 0.18/0.61 % SZS output end Proof
% 0.18/0.61 % Total time : 0.045000 s
%------------------------------------------------------------------------------