TSTP Solution File: GRP032-3 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GRP032-3 : 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 : 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 : Thu Aug 31 00:13:44 EDT 2023
% Result : Unsatisfiable 0.53s 0.58s
% Output : CNFRefutation 0.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 10
% Syntax : Number of formulae : 16 ( 8 unt; 6 typ; 0 def)
% Number of atoms : 16 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 15 ( 9 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 4 >; 3 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 9 ( 1 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
identity: $i ).
tff(decl_23,type,
product: ( $i * $i * $i ) > $o ).
tff(decl_24,type,
inverse: $i > $i ).
tff(decl_25,type,
multiply: ( $i * $i ) > $i ).
tff(decl_26,type,
subgroup_member: $i > $o ).
tff(decl_27,type,
a: $i ).
cnf(closure_of_product_and_inverse,axiom,
( subgroup_member(X3)
| ~ subgroup_member(X1)
| ~ subgroup_member(X2)
| ~ product(X1,inverse(X2),X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-2.ax',closure_of_product_and_inverse) ).
cnf(right_inverse,axiom,
product(X1,inverse(X1),identity),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',right_inverse) ).
cnf(prove_identity_is_in_subgroup,negated_conjecture,
~ subgroup_member(identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_identity_is_in_subgroup) ).
cnf(a_is_in_subgroup,hypothesis,
subgroup_member(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_in_subgroup) ).
cnf(c_0_4,axiom,
( subgroup_member(X3)
| ~ subgroup_member(X1)
| ~ subgroup_member(X2)
| ~ product(X1,inverse(X2),X3) ),
closure_of_product_and_inverse ).
cnf(c_0_5,axiom,
product(X1,inverse(X1),identity),
right_inverse ).
cnf(c_0_6,negated_conjecture,
~ subgroup_member(identity),
prove_identity_is_in_subgroup ).
cnf(c_0_7,hypothesis,
subgroup_member(a),
a_is_in_subgroup ).
cnf(c_0_8,plain,
~ subgroup_member(X1),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_5]),c_0_6]) ).
cnf(c_0_9,hypothesis,
$false,
inference(sr,[status(thm)],[c_0_7,c_0_8]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP032-3 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.33 % Computer : n007.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 28 23:43:28 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.53/0.56 start to proof: theBenchmark
% 0.53/0.58 % Version : CSE_E---1.5
% 0.53/0.58 % Problem : theBenchmark.p
% 0.53/0.58 % Proof found
% 0.53/0.58 % SZS status Theorem for theBenchmark.p
% 0.53/0.58 % SZS output start Proof
% See solution above
% 0.53/0.58 % Total time : 0.004000 s
% 0.53/0.58 % SZS output end Proof
% 0.53/0.58 % Total time : 0.006000 s
%------------------------------------------------------------------------------