TSTP Solution File: MSC005-1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : MSC005-1 : 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 11:35:46 EDT 2023
% Result : Unsatisfiable 2.64s 1.59s
% Output : Refutation 2.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 11
% Syntax : Number of formulae : 19 ( 7 unt; 4 typ; 0 def)
% Number of atoms : 31 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 126 ( 18 ~; 16 |; 0 &; 92 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 18 ( 0 ^; 18 !; 0 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
thf(value_type,type,
value: $i > $i > $o ).
thf(xor_type,type,
xor: $i > $i > $i ).
thf(truth_type,type,
truth: $i ).
thf(falsity_type,type,
falsity: $i ).
thf(2,axiom,
value @ truth @ truth,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',true_is_true) ).
thf(10,plain,
value @ truth @ truth,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,axiom,
! [B: $i,A: $i] :
( ~ ( value @ A @ truth )
| ~ ( value @ B @ falsity )
| ( value @ ( xor @ A @ B ) @ truth ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',true_xor_false) ).
thf(14,plain,
! [B: $i,A: $i] :
( ~ ( value @ A @ truth )
| ~ ( value @ B @ falsity )
| ( value @ ( xor @ A @ B ) @ truth ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(4,axiom,
! [B: $i,A: $i] :
( ~ ( value @ A @ truth )
| ~ ( value @ B @ truth )
| ( value @ ( xor @ A @ B ) @ falsity ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',true_xor_true) ).
thf(12,plain,
! [B: $i,A: $i] :
( ~ ( value @ A @ truth )
| ~ ( value @ B @ truth )
| ( value @ ( xor @ A @ B ) @ falsity ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(7,axiom,
! [B: $i,A: $i] :
( ~ ( value @ A @ falsity )
| ~ ( value @ B @ falsity )
| ( value @ ( xor @ A @ B ) @ falsity ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',false_xor_false) ).
thf(18,plain,
! [B: $i,A: $i] :
( ~ ( value @ A @ falsity )
| ~ ( value @ B @ falsity )
| ( value @ ( xor @ A @ B ) @ falsity ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(6,axiom,
! [B: $i,A: $i] :
( ~ ( value @ A @ falsity )
| ~ ( value @ B @ truth )
| ( value @ ( xor @ A @ B ) @ truth ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',false_xor_true) ).
thf(16,plain,
! [B: $i,A: $i] :
( ~ ( value @ A @ falsity )
| ~ ( value @ B @ truth )
| ( value @ ( xor @ A @ B ) @ truth ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(3,axiom,
value @ falsity @ falsity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',false_is_false) ).
thf(11,plain,
value @ falsity @ falsity,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(1,negated_conjecture,
! [A: $i] :
~ ( value @ ( xor @ ( xor @ ( xor @ ( xor @ truth @ falsity ) @ falsity ) @ truth ) @ falsity ) @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',evaluate_expression) ).
thf(8,plain,
! [A: $i] :
~ ( value @ ( xor @ ( xor @ ( xor @ ( xor @ truth @ falsity ) @ falsity ) @ truth ) @ falsity ) @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(26,plain,
$false,
inference(e,[status(thm)],[10,14,12,18,16,11,8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : MSC005-1 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n003.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 : Thu May 18 15:19:31 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.93/0.85 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.15/0.97 % [INFO] Parsing done (120ms).
% 1.26/0.98 % [INFO] Running in sequential loop mode.
% 1.60/1.19 % [INFO] eprover registered as external prover.
% 1.60/1.19 % [INFO] cvc4 registered as external prover.
% 1.60/1.19 % [INFO] Scanning for conjecture ...
% 1.78/1.24 % [INFO] Found a conjecture and 6 axioms. Running axiom selection ...
% 1.85/1.27 % [INFO] Axiom selection finished. Selected 6 axioms (removed 0 axioms).
% 1.85/1.28 % [INFO] Problem is propositional (TPTP CNF).
% 1.85/1.28 % [INFO] Type checking passed.
% 1.85/1.28 % [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 ...
% 2.64/1.59 % External prover 'e' found a proof!
% 2.64/1.59 % [INFO] Killing All external provers ...
% 2.64/1.59 % Time passed: 1066ms (effective reasoning time: 607ms)
% 2.64/1.59 % 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)>
% 2.64/1.59 % Axioms used in derivation (6): true_xor_true, false_xor_false, true_is_true, false_is_false, true_xor_false, false_xor_true
% 2.64/1.59 % No. of inferences in proof: 15
% 2.64/1.59 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1066 ms resp. 607 ms w/o parsing
% 2.64/1.61 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.64/1.61 % [INFO] Killing All external provers ...
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