TSTP Solution File: ALG006-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : ALG006-1 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n007.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 : Wed Aug 30 16:00:03 EDT 2023
% Result : Unsatisfiable 0.19s 0.66s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 28 ( 24 unt; 4 typ; 0 def)
% Number of atoms : 24 ( 23 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 : 5 ( 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 : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 51 ( 10 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
difference: ( $i * $i ) > $i ).
tff(decl_23,type,
a: $i ).
tff(decl_24,type,
c: $i ).
tff(decl_25,type,
b: $i ).
cnf(set_difference_1,axiom,
difference(X1,difference(X2,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',set_difference_1) ).
cnf(set_difference_2,axiom,
difference(X1,difference(X1,X2)) = difference(X2,difference(X2,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',set_difference_2) ).
cnf(set_difference_3,axiom,
difference(difference(X1,X2),X3) = difference(difference(X1,X3),difference(X2,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',set_difference_3) ).
cnf(prove_set_difference_3_simplified,negated_conjecture,
difference(difference(a,c),b) != difference(difference(a,b),c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_set_difference_3_simplified) ).
cnf(c_0_4,axiom,
difference(X1,difference(X2,X1)) = X1,
set_difference_1 ).
cnf(c_0_5,axiom,
difference(X1,difference(X1,X2)) = difference(X2,difference(X2,X1)),
set_difference_2 ).
cnf(c_0_6,plain,
difference(difference(X1,X2),X2) = difference(X1,X2),
inference(spm,[status(thm)],[c_0_4,c_0_4]) ).
cnf(c_0_7,axiom,
difference(difference(X1,X2),X3) = difference(difference(X1,X3),difference(X2,X3)),
set_difference_3 ).
cnf(c_0_8,plain,
difference(X1,X1) = difference(difference(X2,X2),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_4]),c_0_7]) ).
cnf(c_0_9,plain,
difference(difference(X1,X1),difference(X2,X2)) = difference(X2,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_8]),c_0_7]),c_0_6]) ).
cnf(c_0_10,plain,
difference(X1,X1) = difference(X2,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_9]),c_0_9]),c_0_9]),c_0_9]) ).
cnf(c_0_11,plain,
difference(difference(X1,X1),X2) = difference(X1,X1),
inference(spm,[status(thm)],[c_0_6,c_0_10]) ).
cnf(c_0_12,plain,
difference(difference(X1,difference(X2,X3)),X3) = difference(difference(X1,X2),X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_6]),c_0_7]) ).
cnf(c_0_13,plain,
difference(difference(X1,X2),X1) = difference(X1,X1),
inference(spm,[status(thm)],[c_0_7,c_0_11]) ).
cnf(c_0_14,plain,
difference(X1,difference(X2,X2)) = X1,
inference(spm,[status(thm)],[c_0_4,c_0_10]) ).
cnf(c_0_15,plain,
difference(difference(X1,difference(X2,X3)),X2) = difference(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]) ).
cnf(c_0_16,plain,
difference(difference(X1,X2),difference(X1,difference(X2,X3))) = difference(X1,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_15]),c_0_7]),c_0_11]) ).
cnf(c_0_17,plain,
difference(X1,difference(X1,difference(X1,X2))) = difference(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_13]),c_0_14]) ).
cnf(c_0_18,plain,
difference(X1,difference(X1,difference(difference(X2,X1),X3))) = difference(X1,X1),
inference(spm,[status(thm)],[c_0_16,c_0_4]) ).
cnf(c_0_19,plain,
difference(X1,difference(difference(X2,X1),X3)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_4]) ).
cnf(c_0_20,plain,
difference(difference(difference(X1,X2),X3),X2) = difference(difference(X1,X3),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_6]),c_0_7]) ).
cnf(c_0_21,negated_conjecture,
difference(difference(a,c),b) != difference(difference(a,b),c),
prove_set_difference_3_simplified ).
cnf(c_0_22,plain,
difference(difference(X1,X2),X3) = difference(difference(X1,X3),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_19]),c_0_20]) ).
cnf(c_0_23,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_22])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG006-1 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n007.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 05:50:27 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.19/0.56 start to proof: theBenchmark
% 0.19/0.66 % Version : CSE_E---1.5
% 0.19/0.66 % Problem : theBenchmark.p
% 0.19/0.66 % Proof found
% 0.19/0.66 % SZS status Theorem for theBenchmark.p
% 0.19/0.66 % SZS output start Proof
% See solution above
% 0.19/0.66 % Total time : 0.096000 s
% 0.19/0.66 % SZS output end Proof
% 0.19/0.67 % Total time : 0.099000 s
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