TSTP Solution File: GRP139-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GRP139-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n022.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 00:17:15 EDT 2023
% Result : Unsatisfiable 0.16s 0.52s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 13
% Syntax : Number of formulae : 23 ( 15 unt; 8 typ; 0 def)
% Number of atoms : 15 ( 14 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 : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 7 ( 4 >; 3 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 11 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
identity: $i ).
tff(decl_23,type,
multiply: ( $i * $i ) > $i ).
tff(decl_24,type,
inverse: $i > $i ).
tff(decl_25,type,
greatest_lower_bound: ( $i * $i ) > $i ).
tff(decl_26,type,
least_upper_bound: ( $i * $i ) > $i ).
tff(decl_27,type,
a: $i ).
tff(decl_28,type,
c: $i ).
tff(decl_29,type,
b: $i ).
cnf(ax_glb1b_1_1,hypothesis,
greatest_lower_bound(a,c) = c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_glb1b_1_1) ).
cnf(symmetry_of_glb,axiom,
greatest_lower_bound(X1,X2) = greatest_lower_bound(X2,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-2.ax',symmetry_of_glb) ).
cnf(prove_ax_glb1b,negated_conjecture,
greatest_lower_bound(greatest_lower_bound(a,b),c) != c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ax_glb1b) ).
cnf(associativity_of_glb,axiom,
greatest_lower_bound(X1,greatest_lower_bound(X2,X3)) = greatest_lower_bound(greatest_lower_bound(X1,X2),X3),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-2.ax',associativity_of_glb) ).
cnf(ax_glb1b_2_2,hypothesis,
greatest_lower_bound(b,c) = c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_glb1b_2_2) ).
cnf(c_0_5,hypothesis,
greatest_lower_bound(a,c) = c,
ax_glb1b_1_1 ).
cnf(c_0_6,axiom,
greatest_lower_bound(X1,X2) = greatest_lower_bound(X2,X1),
symmetry_of_glb ).
cnf(c_0_7,negated_conjecture,
greatest_lower_bound(greatest_lower_bound(a,b),c) != c,
prove_ax_glb1b ).
cnf(c_0_8,axiom,
greatest_lower_bound(X1,greatest_lower_bound(X2,X3)) = greatest_lower_bound(greatest_lower_bound(X1,X2),X3),
associativity_of_glb ).
cnf(c_0_9,hypothesis,
greatest_lower_bound(c,a) = c,
inference(rw,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_10,hypothesis,
greatest_lower_bound(b,c) = c,
ax_glb1b_2_2 ).
cnf(c_0_11,negated_conjecture,
greatest_lower_bound(c,greatest_lower_bound(a,b)) != c,
inference(rw,[status(thm)],[c_0_7,c_0_6]) ).
cnf(c_0_12,hypothesis,
greatest_lower_bound(c,greatest_lower_bound(a,X1)) = greatest_lower_bound(c,X1),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,hypothesis,
greatest_lower_bound(c,b) = c,
inference(rw,[status(thm)],[c_0_10,c_0_6]) ).
cnf(c_0_14,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_12]),c_0_13])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GRP139-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.00/0.10 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.10/0.30 % Computer : n022.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Mon Aug 28 22:34:54 EDT 2023
% 0.10/0.30 % CPUTime :
% 0.16/0.50 start to proof: theBenchmark
% 0.16/0.52 % Version : CSE_E---1.5
% 0.16/0.52 % Problem : theBenchmark.p
% 0.16/0.52 % Proof found
% 0.16/0.52 % SZS status Theorem for theBenchmark.p
% 0.16/0.52 % SZS output start Proof
% See solution above
% 0.16/0.52 % Total time : 0.004000 s
% 0.16/0.52 % SZS output end Proof
% 0.16/0.52 % Total time : 0.006000 s
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