TSTP Solution File: COL064-5 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : COL064-5 : TPTP v8.1.2. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n032.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 18:22:25 EDT 2023
% Result : Unsatisfiable 0.13s 0.47s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 9
% Syntax : Number of formulae : 13 ( 7 unt; 6 typ; 0 def)
% Number of atoms : 7 ( 6 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 : 11 ( 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 : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
b: $i ).
tff(decl_23,type,
apply: ( $i * $i ) > $i ).
tff(decl_24,type,
t: $i ).
tff(decl_25,type,
x: $i ).
tff(decl_26,type,
y: $i ).
tff(decl_27,type,
z: $i ).
cnf(prove_v_combinator,negated_conjecture,
apply(apply(apply(apply(apply(b,apply(apply(b,apply(t,apply(apply(b,b),t))),apply(apply(b,b),b))),t),x),y),z) != apply(apply(z,x),y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_v_combinator) ).
cnf(b_definition,axiom,
apply(apply(apply(b,X1),X2),X3) = apply(X1,apply(X2,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_definition) ).
cnf(t_definition,axiom,
apply(apply(t,X1),X2) = apply(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t_definition) ).
cnf(c_0_3,negated_conjecture,
apply(apply(apply(apply(apply(b,apply(apply(b,apply(t,apply(apply(b,b),t))),apply(apply(b,b),b))),t),x),y),z) != apply(apply(z,x),y),
prove_v_combinator ).
cnf(c_0_4,axiom,
apply(apply(apply(b,X1),X2),X3) = apply(X1,apply(X2,X3)),
b_definition ).
cnf(c_0_5,axiom,
apply(apply(t,X1),X2) = apply(X2,X1),
t_definition ).
cnf(c_0_6,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_4]),c_0_4]),c_0_4]),c_0_5]),c_0_4]),c_0_4]),c_0_4]),c_0_5]),c_0_4]),c_0_5])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : COL064-5 : TPTP v8.1.2. Bugfixed v1.2.0.
% 0.00/0.10 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Sun Aug 27 05:15:14 EDT 2023
% 0.09/0.29 % CPUTime :
% 0.13/0.46 start to proof: theBenchmark
% 0.13/0.47 % Version : CSE_E---1.5
% 0.13/0.47 % Problem : theBenchmark.p
% 0.13/0.47 % Proof found
% 0.13/0.47 % SZS status Theorem for theBenchmark.p
% 0.13/0.47 % SZS output start Proof
% See solution above
% 0.13/0.47 % Total time : 0.003000 s
% 0.13/0.47 % SZS output end Proof
% 0.13/0.47 % Total time : 0.005000 s
%------------------------------------------------------------------------------