TSTP Solution File: GRP028-3 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : GRP028-3 : TPTP v8.1.2. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n010.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 : Fri May 19 11:13:02 EDT 2023
% Result : Unsatisfiable 2.64s 1.58s
% Output : Refutation 2.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 11
% Syntax : Number of formulae : 18 ( 9 unt; 5 typ; 0 def)
% Number of atoms : 25 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 114 ( 14 ~; 12 |; 0 &; 88 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 5 usr; 1 con; 0-3 aty)
% Number of variables : 38 ( 0 ^; 38 !; 0 ?; 38 :)
% Comments :
%------------------------------------------------------------------------------
thf(product_type,type,
product: $i > $i > $i > $o ).
thf(not_identity_type,type,
not_identity: $i > $i ).
thf(multiply_type,type,
multiply: $i > $i > $i ).
thf(left_solution_type,type,
left_solution: $i > $i > $i ).
thf(right_solution_type,type,
right_solution: $i > $i > $i ).
thf(3,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( product @ A @ B @ C )
| ~ ( product @ B @ D @ E )
| ~ ( product @ C @ D @ F )
| ( product @ A @ E @ F ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity1) ).
thf(10,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( product @ A @ B @ C )
| ~ ( product @ B @ D @ E )
| ~ ( product @ C @ D @ F )
| ( product @ A @ E @ F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(5,axiom,
! [B: $i,A: $i] : ( product @ ( left_solution @ A @ B ) @ A @ B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_soln) ).
thf(14,plain,
! [B: $i,A: $i] : ( product @ ( left_solution @ A @ B ) @ A @ B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(2,axiom,
! [B: $i,A: $i] : ( product @ A @ B @ ( multiply @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',total_function1) ).
thf(9,plain,
! [B: $i,A: $i] : ( product @ A @ B @ ( multiply @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( product @ A @ B @ C )
| ~ ( product @ B @ D @ E )
| ~ ( product @ A @ E @ F )
| ( product @ C @ D @ F ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity2) ).
thf(12,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( product @ A @ B @ C )
| ~ ( product @ B @ D @ E )
| ~ ( product @ A @ E @ F )
| ( product @ C @ D @ F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(1,negated_conjecture,
! [A: $i] :
~ ( product @ ( not_identity @ A ) @ A @ ( not_identity @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_there_is_a_right_identity) ).
thf(7,plain,
! [A: $i] :
~ ( product @ ( not_identity @ A ) @ A @ ( not_identity @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(6,axiom,
! [B: $i,A: $i] : ( product @ A @ ( right_solution @ A @ B ) @ B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_soln) ).
thf(15,plain,
! [B: $i,A: $i] : ( product @ A @ ( right_solution @ A @ B ) @ B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(19,plain,
$false,
inference(e,[status(thm)],[10,14,9,12,7,15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP028-3 : TPTP v8.1.2. Released v1.1.0.
% 0.14/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n010.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 19 01:26:58 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.97/0.85 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.27/0.96 % [INFO] Parsing done (110ms).
% 1.27/0.97 % [INFO] Running in sequential loop mode.
% 1.65/1.17 % [INFO] eprover registered as external prover.
% 1.65/1.18 % [INFO] cvc4 registered as external prover.
% 1.65/1.18 % [INFO] Scanning for conjecture ...
% 1.74/1.23 % [INFO] Found a conjecture and 5 axioms. Running axiom selection ...
% 1.85/1.25 % [INFO] Axiom selection finished. Selected 5 axioms (removed 0 axioms).
% 1.85/1.26 % [INFO] Problem is propositional (TPTP CNF).
% 1.85/1.26 % [INFO] Type checking passed.
% 1.85/1.26 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 2.64/1.58 % External prover 'e' found a proof!
% 2.64/1.58 % [INFO] Killing All external provers ...
% 2.64/1.58 % Time passed: 1062ms (effective reasoning time: 610ms)
% 2.64/1.58 % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 2.64/1.58 % Axioms used in derivation (5): total_function1, right_soln, associativity1, left_soln, associativity2
% 2.64/1.58 % No. of inferences in proof: 13
% 2.64/1.58 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1062 ms resp. 610 ms w/o parsing
% 2.81/1.67 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.81/1.67 % [INFO] Killing All external provers ...
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