TSTP Solution File: SWV003-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV003-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n020.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 21:36:05 EDT 2023
% Result : Unsatisfiable 0.20s 0.58s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 15
% Syntax : Number of formulae : 26 ( 9 unt; 9 typ; 0 def)
% Number of atoms : 30 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 25 ( 12 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 5 ( 4 >; 1 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-1 aty)
% Number of variables : 15 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
successor: $i > $i ).
tff(decl_23,type,
predecessor: $i > $i ).
tff(decl_24,type,
less_than: ( $i * $i ) > $o ).
tff(decl_25,type,
n: $i ).
tff(decl_26,type,
j: $i ).
tff(decl_27,type,
k: $i ).
tff(decl_28,type,
i: $i ).
tff(decl_29,type,
a: $i > $i ).
tff(decl_30,type,
one: $i ).
cnf(clause_3,negated_conjecture,
~ less_than(k,i),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
cnf(all_related,axiom,
( less_than(X1,X2)
| less_than(X2,X1)
| X1 = X2 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV001-0.ax',all_related) ).
cnf(anti_symmetry_of_less_than,axiom,
( ~ less_than(X1,X2)
| ~ less_than(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV001-0.ax',anti_symmetry_of_less_than) ).
cnf(clause_2,negated_conjecture,
less_than(k,j),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
cnf(transitivity_of_less_than,axiom,
( less_than(X1,X2)
| ~ less_than(X1,X3)
| ~ less_than(X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV001-0.ax',transitivity_of_less_than) ).
cnf(clause_9,negated_conjecture,
less_than(j,i),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_9) ).
cnf(c_0_6,negated_conjecture,
~ less_than(k,i),
clause_3 ).
cnf(c_0_7,axiom,
( less_than(X1,X2)
| less_than(X2,X1)
| X1 = X2 ),
all_related ).
cnf(c_0_8,axiom,
( ~ less_than(X1,X2)
| ~ less_than(X2,X1) ),
anti_symmetry_of_less_than ).
cnf(c_0_9,negated_conjecture,
less_than(k,j),
clause_2 ).
cnf(c_0_10,axiom,
( less_than(X1,X2)
| ~ less_than(X1,X3)
| ~ less_than(X3,X2) ),
transitivity_of_less_than ).
cnf(c_0_11,negated_conjecture,
( k = i
| less_than(i,k) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_12,negated_conjecture,
~ less_than(j,k),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,negated_conjecture,
( k = i
| less_than(X1,k)
| ~ less_than(X1,i) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,negated_conjecture,
less_than(j,i),
clause_9 ).
cnf(c_0_15,negated_conjecture,
k = i,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]) ).
cnf(c_0_16,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_15]),c_0_14])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SWV003-1 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 07:31:28 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.57 start to proof: theBenchmark
% 0.20/0.58 % Version : CSE_E---1.5
% 0.20/0.58 % Problem : theBenchmark.p
% 0.20/0.58 % Proof found
% 0.20/0.58 % SZS status Theorem for theBenchmark.p
% 0.20/0.58 % SZS output start Proof
% See solution above
% 0.20/0.58 % Total time : 0.006000 s
% 0.20/0.58 % SZS output end Proof
% 0.20/0.58 % Total time : 0.009000 s
%------------------------------------------------------------------------------