TSTP Solution File: MSC015-1.005 by Leo-III---1.7.7
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : MSC015-1.005 : TPTP v8.1.2. Released v3.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n029.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 11:35:48 EDT 2023
% Result : Unsatisfiable 2.70s 1.62s
% Output : Refutation 2.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 10
% Syntax : Number of formulae : 18 ( 5 unt; 3 typ; 0 def)
% Number of atoms : 25 ( 0 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 142 ( 12 ~; 10 |; 0 &; 120 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 3 usr; 3 con; 0-5 aty)
% Number of variables : 20 ( 0 ^; 20 !; 0 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
thf(p_type,type,
p: $i > $i > $i > $i > $i > $o ).
thf(s1_type,type,
s1: $i ).
thf(s0_type,type,
s0: $i ).
thf(2,axiom,
p @ s0 @ s0 @ s0 @ s0 @ s0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',init) ).
thf(10,plain,
p @ s0 @ s0 @ s0 @ s0 @ s0,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( p @ A @ B @ C @ s0 @ s1 )
| ( p @ A @ B @ C @ s1 @ s0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule2) ).
thf(13,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( p @ A @ B @ C @ s0 @ s1 )
| ( p @ A @ B @ C @ s1 @ s0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(6,axiom,
! [A: $i] :
( ~ ( p @ A @ s0 @ s1 @ s1 @ s1 )
| ( p @ A @ s1 @ s0 @ s0 @ s0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule4) ).
thf(17,plain,
! [A: $i] :
( ~ ( p @ A @ s0 @ s1 @ s1 @ s1 )
| ( p @ A @ s1 @ s0 @ s0 @ s0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(3,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( p @ A @ B @ C @ D @ s0 )
| ( p @ A @ B @ C @ D @ s1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule1) ).
thf(11,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( p @ A @ B @ C @ D @ s0 )
| ( p @ A @ B @ C @ D @ s1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(1,negated_conjecture,
~ ( p @ s1 @ s1 @ s1 @ s1 @ s1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
thf(8,plain,
~ ( p @ s1 @ s1 @ s1 @ s1 @ s1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(7,axiom,
( ~ ( p @ s0 @ s1 @ s1 @ s1 @ s1 )
| ( p @ s1 @ s0 @ s0 @ s0 @ s0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule5) ).
thf(19,plain,
( ~ ( p @ s0 @ s1 @ s1 @ s1 @ s1 )
| ( p @ s1 @ s0 @ s0 @ s0 @ s0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(5,axiom,
! [B: $i,A: $i] :
( ~ ( p @ A @ B @ s0 @ s1 @ s1 )
| ( p @ A @ B @ s1 @ s0 @ s0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule3) ).
thf(15,plain,
! [B: $i,A: $i] :
( ~ ( p @ A @ B @ s0 @ s1 @ s1 )
| ( p @ A @ B @ s1 @ s0 @ s0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(24,plain,
$false,
inference(e,[status(thm)],[10,13,17,11,8,19,15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : MSC015-1.005 : TPTP v8.1.2. Released v3.5.0.
% 0.07/0.14 % Command : run_Leo-III %s %d
% 0.14/0.35 % Computer : n029.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 18 15:32:14 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.92/0.89 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.25/1.02 % [INFO] Parsing done (121ms).
% 1.25/1.02 % [INFO] Running in sequential loop mode.
% 1.54/1.22 % [INFO] eprover registered as external prover.
% 1.54/1.22 % [INFO] cvc4 registered as external prover.
% 1.71/1.23 % [INFO] Scanning for conjecture ...
% 1.71/1.27 % [INFO] Found a conjecture and 6 axioms. Running axiom selection ...
% 1.85/1.29 % [INFO] Axiom selection finished. Selected 6 axioms (removed 0 axioms).
% 1.85/1.30 % [INFO] Problem is propositional (TPTP CNF).
% 1.85/1.30 % [INFO] Type checking passed.
% 1.85/1.30 % [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 ...
% 2.70/1.61 % External prover 'e' found a proof!
% 2.70/1.62 % [INFO] Killing All external provers ...
% 2.70/1.62 % Time passed: 1083ms (effective reasoning time: 589ms)
% 2.70/1.62 % 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)>
% 2.70/1.62 % Axioms used in derivation (6): rule4, rule5, rule1, rule2, rule3, init
% 2.70/1.62 % No. of inferences in proof: 15
% 2.70/1.62 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1083 ms resp. 589 ms w/o parsing
% 2.70/1.64 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.70/1.64 % [INFO] Killing All external provers ...
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