TSTP Solution File: GRP557-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GRP557-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n012.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 00:21:34 EDT 2023
% Result : Unsatisfiable 0.23s 0.63s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 27 ( 22 unt; 5 typ; 0 def)
% Number of atoms : 22 ( 21 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 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 : 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 : 36 ( 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,
a1: $i ).
tff(decl_26,type,
b1: $i ).
cnf(single_axiom,axiom,
divide(X1,inverse(divide(divide(X2,X3),divide(X1,X3)))) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
cnf(prove_these_axioms_1,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_1) ).
cnf(multiply,axiom,
multiply(X1,X2) = divide(X1,inverse(X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
cnf(c_0_3,axiom,
divide(X1,inverse(divide(divide(X2,X3),divide(X1,X3)))) = X2,
single_axiom ).
cnf(c_0_4,plain,
divide(X1,inverse(divide(X2,divide(X1,inverse(divide(divide(X2,X3),divide(X4,X3))))))) = X4,
inference(spm,[status(thm)],[c_0_3,c_0_3]) ).
cnf(c_0_5,plain,
divide(X1,inverse(divide(X2,X2))) = X1,
inference(spm,[status(thm)],[c_0_4,c_0_3]) ).
cnf(c_0_6,plain,
divide(X1,inverse(divide(X2,X1))) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_5]),c_0_5]) ).
cnf(c_0_7,plain,
divide(inverse(divide(X1,X2)),inverse(X1)) = X2,
inference(spm,[status(thm)],[c_0_6,c_0_6]) ).
cnf(c_0_8,plain,
divide(inverse(X1),inverse(X2)) = inverse(divide(X1,X2)),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_9,plain,
inverse(divide(divide(X1,X2),X1)) = X2,
inference(rw,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_10,plain,
inverse(divide(X1,divide(X2,X2))) = inverse(X1),
inference(spm,[status(thm)],[c_0_5,c_0_8]) ).
cnf(c_0_11,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
prove_these_axioms_1 ).
cnf(c_0_12,axiom,
multiply(X1,X2) = divide(X1,inverse(X2)),
multiply ).
cnf(c_0_13,plain,
inverse(divide(divide(X1,X1),X2)) = X2,
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,negated_conjecture,
divide(inverse(b1),inverse(b1)) != divide(inverse(a1),inverse(a1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_12]),c_0_12]) ).
cnf(c_0_15,plain,
divide(X1,divide(X1,X2)) = X2,
inference(spm,[status(thm)],[c_0_3,c_0_13]) ).
cnf(c_0_16,negated_conjecture,
inverse(divide(a1,a1)) != inverse(divide(b1,b1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_8]),c_0_8]) ).
cnf(c_0_17,plain,
inverse(divide(X1,X2)) = divide(X2,X1),
inference(spm,[status(thm)],[c_0_9,c_0_15]) ).
cnf(c_0_18,plain,
divide(X1,divide(X2,X2)) = X1,
inference(spm,[status(thm)],[c_0_5,c_0_13]) ).
cnf(c_0_19,negated_conjecture,
divide(a1,a1) != divide(b1,b1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17]),c_0_17]) ).
cnf(c_0_20,plain,
divide(X1,X1) = divide(X2,X2),
inference(spm,[status(thm)],[c_0_15,c_0_18]) ).
cnf(c_0_21,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_19,c_0_20]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : GRP557-1 : TPTP v8.1.2. Released v2.6.0.
% 0.00/0.15 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.19/0.37 % Computer : n012.cluster.edu
% 0.19/0.37 % Model : x86_64 x86_64
% 0.19/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.37 % Memory : 8042.1875MB
% 0.19/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.37 % CPULimit : 300
% 0.19/0.37 % WCLimit : 300
% 0.19/0.37 % DateTime : Mon Aug 28 23:40:54 EDT 2023
% 0.19/0.37 % CPUTime :
% 0.23/0.61 start to proof: theBenchmark
% 0.23/0.63 % Version : CSE_E---1.5
% 0.23/0.63 % Problem : theBenchmark.p
% 0.23/0.63 % Proof found
% 0.23/0.63 % SZS status Theorem for theBenchmark.p
% 0.23/0.63 % SZS output start Proof
% See solution above
% 0.23/0.63 % Total time : 0.006000 s
% 0.23/0.63 % SZS output end Proof
% 0.23/0.63 % Total time : 0.009000 s
%------------------------------------------------------------------------------