TSTP Solution File: GRP028-1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : GRP028-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n003.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 2.60s 1.55s
% Output : Refutation 2.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 8
% Syntax : Number of formulae : 13 ( 7 unt; 4 typ; 0 def)
% Number of atoms : 15 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 68 ( 8 ~; 6 |; 0 &; 54 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 4 usr; 1 con; 0-3 aty)
% Number of variables : 22 ( 0 ^; 22 !; 0 ?; 22 :)
% Comments :
%------------------------------------------------------------------------------
thf(product_type,type,
product: $i > $i > $i > $o ).
thf(not_identity_type,type,
not_identity: $i > $i ).
thf(left_solution_type,type,
left_solution: $i > $i > $i ).
thf(right_solution_type,type,
right_solution: $i > $i > $i ).
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(5,plain,
! [A: $i] :
~ ( product @ ( not_identity @ A ) @ A @ ( not_identity @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(2,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',associativity) ).
thf(7,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)],[2]) ).
thf(3,axiom,
! [B: $i,A: $i] : ( product @ ( left_solution @ A @ B ) @ A @ B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_soln) ).
thf(9,plain,
! [B: $i,A: $i] : ( product @ ( left_solution @ A @ B ) @ A @ B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(4,axiom,
! [B: $i,A: $i] : ( product @ A @ ( right_solution @ A @ B ) @ B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_soln) ).
thf(10,plain,
! [B: $i,A: $i] : ( product @ A @ ( right_solution @ A @ B ) @ B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(14,plain,
$false,
inference(e,[status(thm)],[5,7,9,10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GRP028-1 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.15 % Command : run_Leo-III %s %d
% 0.14/0.34 % Computer : n003.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri May 19 02:09:47 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.90/0.83 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.23/0.93 % [INFO] Parsing done (101ms).
% 1.23/0.94 % [INFO] Running in sequential loop mode.
% 1.52/1.13 % [INFO] eprover registered as external prover.
% 1.52/1.13 % [INFO] cvc4 registered as external prover.
% 1.52/1.13 % [INFO] Scanning for conjecture ...
% 1.52/1.18 % [INFO] Found a conjecture and 3 axioms. Running axiom selection ...
% 1.78/1.19 % [INFO] Axiom selection finished. Selected 3 axioms (removed 0 axioms).
% 1.78/1.20 % [INFO] Problem is propositional (TPTP CNF).
% 1.78/1.20 % [INFO] Type checking passed.
% 1.78/1.20 % [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 ...
% 2.60/1.54 % External prover 'e' found a proof!
% 2.60/1.55 % [INFO] Killing All external provers ...
% 2.60/1.55 % Time passed: 1037ms (effective reasoning time: 602ms)
% 2.60/1.55 % 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)>
% 2.60/1.55 % Axioms used in derivation (3): associativity, left_soln, right_soln
% 2.60/1.55 % No. of inferences in proof: 9
% 2.60/1.55 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1037 ms resp. 602 ms w/o parsing
% 2.60/1.61 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.60/1.61 % [INFO] Killing All external provers ...
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