TSTP Solution File: CAT002-4 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : CAT002-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n031.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 18:14:02 EDT 2023
% Result : Unsatisfiable 0.19s 0.67s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 14
% Syntax : Number of formulae : 26 ( 9 unt; 9 typ; 0 def)
% Number of atoms : 29 ( 28 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 14 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 5 >; 2 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 24 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
equivalent: ( $i * $i ) > $o ).
tff(decl_23,type,
there_exists: $i > $o ).
tff(decl_24,type,
domain: $i > $i ).
tff(decl_25,type,
codomain: $i > $i ).
tff(decl_26,type,
compose: ( $i * $i ) > $i ).
tff(decl_27,type,
a: $i ).
tff(decl_28,type,
b: $i ).
tff(decl_29,type,
h: $i ).
tff(decl_30,type,
g: $i ).
cnf(cancellation_for_compose1,hypothesis,
( X1 = X3
| compose(a,X1) != X2
| compose(a,X3) != X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cancellation_for_compose1) ).
cnf(ab_h_equals_ab_g,hypothesis,
compose(compose(a,b),h) = compose(compose(a,b),g),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ab_h_equals_ab_g) ).
cnf(associativity_of_compose,axiom,
compose(X1,compose(X2,X3)) = compose(compose(X1,X2),X3),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT004-0.ax',associativity_of_compose) ).
cnf(cancellation_for_compose2,hypothesis,
( X1 = X3
| compose(b,X1) != X2
| compose(b,X3) != X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cancellation_for_compose2) ).
cnf(prove_g_equals_h,negated_conjecture,
g != h,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_g_equals_h) ).
cnf(c_0_5,hypothesis,
( X1 = X3
| compose(a,X1) != X2
| compose(a,X3) != X2 ),
cancellation_for_compose1 ).
cnf(c_0_6,hypothesis,
compose(compose(a,b),h) = compose(compose(a,b),g),
ab_h_equals_ab_g ).
cnf(c_0_7,axiom,
compose(X1,compose(X2,X3)) = compose(compose(X1,X2),X3),
associativity_of_compose ).
cnf(c_0_8,hypothesis,
( X1 = X2
| compose(a,X1) != compose(a,X2) ),
inference(er,[status(thm)],[c_0_5]) ).
cnf(c_0_9,hypothesis,
compose(a,compose(b,g)) = compose(a,compose(b,h)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_7]),c_0_7]) ).
cnf(c_0_10,hypothesis,
( X1 = X3
| compose(b,X1) != X2
| compose(b,X3) != X2 ),
cancellation_for_compose2 ).
cnf(c_0_11,hypothesis,
( compose(b,g) = X1
| compose(a,compose(b,h)) != compose(a,X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,hypothesis,
( X1 = X2
| compose(b,X1) != compose(b,X2) ),
inference(er,[status(thm)],[c_0_10]) ).
cnf(c_0_13,hypothesis,
compose(b,g) = compose(b,h),
inference(er,[status(thm)],[c_0_11]) ).
cnf(c_0_14,hypothesis,
( g = X1
| compose(b,h) != compose(b,X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_15,negated_conjecture,
g != h,
prove_g_equals_h ).
cnf(c_0_16,hypothesis,
$false,
inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_14]),c_0_15]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.17 % Problem : CAT002-4 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.18 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.38 % Computer : n031.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8042.1875MB
% 0.13/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sun Aug 27 00:41:38 EDT 2023
% 0.13/0.38 % CPUTime :
% 0.19/0.65 start to proof: theBenchmark
% 0.19/0.67 % Version : CSE_E---1.5
% 0.19/0.67 % Problem : theBenchmark.p
% 0.19/0.67 % Proof found
% 0.19/0.67 % SZS status Theorem for theBenchmark.p
% 0.19/0.67 % SZS output start Proof
% See solution above
% 0.19/0.67 % Total time : 0.005000 s
% 0.19/0.67 % SZS output end Proof
% 0.19/0.67 % Total time : 0.007000 s
%------------------------------------------------------------------------------