TSTP Solution File: COM003+1 by Leo-III---1.7.10
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.10
% Problem : COM003+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n004.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 : Tue May 7 07:29:47 EDT 2024
% Result : Theorem 51.17s 8.31s
% Output : Refutation 51.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 13
% Syntax : Number of formulae : 20 ( 1 unt; 8 typ; 0 def)
% Number of atoms : 114 ( 0 equ; 0 cnn)
% Maximal formula atoms : 18 ( 9 avg)
% Number of connectives : 316 ( 17 ~; 0 |; 65 &; 197 @)
% ( 0 <=>; 37 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 10 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 47 ( 0 ^ 32 !; 15 ?; 47 :)
% Comments :
%------------------------------------------------------------------------------
thf(algorithm_type,type,
algorithm: $i > $o ).
thf(program_type,type,
program: $i > $o ).
thf(decides_type,type,
decides: $i > $i > $i > $o ).
thf(halts2_type,type,
halts2: $i > $i > $o ).
thf(halts3_type,type,
halts3: $i > $i > $i > $o ).
thf(outputs_type,type,
outputs: $i > $i > $o ).
thf(good_type,type,
good: $i ).
thf(bad_type,type,
bad: $i ).
thf(1,conjecture,
~ ? [A: $i] :
( ( algorithm @ A )
& ! [B: $i] :
( ( program @ B )
=> ! [C: $i] : ( decides @ A @ B @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
thf(2,negated_conjecture,
~ ~ ? [A: $i] :
( ( algorithm @ A )
& ! [B: $i] :
( ( program @ B )
=> ! [C: $i] : ( decides @ A @ B @ C ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(7,plain,
~ ~ ? [A: $i] :
( ( algorithm @ A )
& ! [B: $i] :
( ( program @ B )
=> ! [C: $i] : ( decides @ A @ B @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,axiom,
! [A: $i] :
( ( ( program @ A )
& ! [B: $i] :
( ( program @ B )
=> ! [C: $i] : ( decides @ A @ B @ C ) ) )
=> ! [B: $i,C: $i] :
( ( ( ( program @ B )
& ( halts2 @ B @ C ) )
=> ( ( halts3 @ A @ B @ C )
& ( outputs @ A @ good ) ) )
& ( ( ( program @ B )
& ~ ( halts2 @ B @ C ) )
=> ( ( halts3 @ A @ B @ C )
& ( outputs @ A @ bad ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2) ).
thf(16,plain,
! [A: $i] :
( ( ( program @ A )
& ! [B: $i] :
( ( program @ B )
=> ! [C: $i] : ( decides @ A @ B @ C ) ) )
=> ! [B: $i,C: $i] :
( ( ( ( program @ B )
& ( halts2 @ B @ C ) )
=> ( ( halts3 @ A @ B @ C )
& ( outputs @ A @ good ) ) )
& ( ( ( program @ B )
& ~ ( halts2 @ B @ C ) )
=> ( ( halts3 @ A @ B @ C )
& ( outputs @ A @ bad ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(5,axiom,
( ? [A: $i] :
( ( program @ A )
& ! [B: $i] :
( ( ( ( program @ B )
& ( halts2 @ B @ B ) )
=> ( ( halts3 @ A @ B @ B )
& ( outputs @ A @ good ) ) )
& ( ( ( program @ B )
& ~ ( halts2 @ B @ B ) )
=> ( ( halts3 @ A @ B @ B )
& ( outputs @ A @ bad ) ) ) ) )
=> ? [A: $i] :
( ( program @ A )
& ! [B: $i] :
( ( ( ( program @ B )
& ( halts2 @ B @ B ) )
=> ( ( halts2 @ A @ B )
& ( outputs @ A @ good ) ) )
& ( ( ( program @ B )
& ~ ( halts2 @ B @ B ) )
=> ( ( halts2 @ A @ B )
& ( outputs @ A @ bad ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3) ).
thf(26,plain,
( ? [A: $i] :
( ( program @ A )
& ! [B: $i] :
( ( ( ( program @ B )
& ( halts2 @ B @ B ) )
=> ( ( halts3 @ A @ B @ B )
& ( outputs @ A @ good ) ) )
& ( ( ( program @ B )
& ~ ( halts2 @ B @ B ) )
=> ( ( halts3 @ A @ B @ B )
& ( outputs @ A @ bad ) ) ) ) )
=> ? [A: $i] :
( ( program @ A )
& ! [B: $i] :
( ( ( ( program @ B )
& ( halts2 @ B @ B ) )
=> ( ( halts2 @ A @ B )
& ( outputs @ A @ good ) ) )
& ( ( ( program @ B )
& ~ ( halts2 @ B @ B ) )
=> ( ( halts2 @ A @ B )
& ( outputs @ A @ bad ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(3,axiom,
( ? [A: $i] :
( ( algorithm @ A )
& ! [B: $i] :
( ( program @ B )
=> ! [C: $i] : ( decides @ A @ B @ C ) ) )
=> ? [A: $i] :
( ( program @ A )
& ! [B: $i] :
( ( program @ B )
=> ! [C: $i] : ( decides @ A @ B @ C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).
thf(11,plain,
( ? [A: $i] :
( ( algorithm @ A )
& ! [B: $i] :
( ( program @ B )
=> ! [C: $i] : ( decides @ A @ B @ C ) ) )
=> ? [A: $i] :
( ( program @ A )
& ! [B: $i] :
( ( program @ B )
=> ! [C: $i] : ( decides @ A @ B @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(6,axiom,
( ? [A: $i] :
( ( program @ A )
& ! [B: $i] :
( ( ( ( program @ B )
& ( halts2 @ B @ B ) )
=> ( ( halts2 @ A @ B )
& ( outputs @ A @ good ) ) )
& ( ( ( program @ B )
& ~ ( halts2 @ B @ B ) )
=> ( ( halts2 @ A @ B )
& ( outputs @ A @ bad ) ) ) ) )
=> ? [A: $i] :
( ( program @ A )
& ! [B: $i] :
( ( ( ( program @ B )
& ( halts2 @ B @ B ) )
=> ~ ( halts2 @ A @ B ) )
& ( ( ( program @ B )
& ~ ( halts2 @ B @ B ) )
=> ( ( halts2 @ A @ B )
& ( outputs @ A @ bad ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4) ).
thf(43,plain,
( ? [A: $i] :
( ( program @ A )
& ! [B: $i] :
( ( ( ( program @ B )
& ( halts2 @ B @ B ) )
=> ( ( halts2 @ A @ B )
& ( outputs @ A @ good ) ) )
& ( ( ( program @ B )
& ~ ( halts2 @ B @ B ) )
=> ( ( halts2 @ A @ B )
& ( outputs @ A @ bad ) ) ) ) )
=> ? [A: $i] :
( ( program @ A )
& ! [B: $i] :
( ( ( ( program @ B )
& ( halts2 @ B @ B ) )
=> ~ ( halts2 @ A @ B ) )
& ( ( ( program @ B )
& ~ ( halts2 @ B @ B ) )
=> ( ( halts2 @ A @ B )
& ( outputs @ A @ bad ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(16736,plain,
$false,
inference(cvc4,[status(thm)],[7,16,26,11,43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : COM003+1 : TPTP v8.1.2. Released v2.0.0.
% 0.12/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n004.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 : Mon May 6 16:50:54 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.98/0.87 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.21/0.99 % [INFO] Parsing done (125ms).
% 1.37/1.00 % [INFO] Running in sequential loop mode.
% 1.71/1.22 % [INFO] eprover registered as external prover.
% 1.71/1.22 % [INFO] cvc4 registered as external prover.
% 1.82/1.22 % [INFO] Scanning for conjecture ...
% 1.87/1.28 % [INFO] Found a conjecture and 4 axioms. Running axiom selection ...
% 1.87/1.30 % [INFO] Axiom selection finished. Selected 4 axioms (removed 0 axioms).
% 2.11/1.33 % [INFO] Problem is first-order (TPTP FOF).
% 2.11/1.33 % [INFO] Type checking passed.
% 2.11/1.34 % [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 ...
% 51.17/8.30 % External prover 'cvc4' found a proof!
% 51.17/8.31 % [INFO] Killing All external provers ...
% 51.17/8.31 % Time passed: 7777ms (effective reasoning time: 7303ms)
% 51.17/8.31 % 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)>
% 51.17/8.31 % Axioms used in derivation (4): p2, p3, p1, p4
% 51.17/8.31 % No. of inferences in proof: 12
% 51.17/8.31 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 7777 ms resp. 7303 ms w/o parsing
% 51.17/8.33 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 51.17/8.33 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------