TSTP Solution File: SYN554-1 by Leo-III---1.7.7
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SYN554-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n014.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 12:29:16 EDT 2023
% Result : Unsatisfiable 2.48s 1.51s
% Output : Refutation 2.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 15
% Syntax : Number of formulae : 25 ( 9 unt; 6 typ; 0 def)
% Number of atoms : 39 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 140 ( 20 ~; 20 |; 0 &; 100 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 34 ( 0 ^; 34 !; 0 ?; 34 :)
% Comments :
%------------------------------------------------------------------------------
thf(p2_type,type,
p2: $i > $i > $o ).
thf(p4_type,type,
p4: $i > $i > $o ).
thf(c6_type,type,
c6: $i ).
thf(c7_type,type,
c7: $i ).
thf(f3_type,type,
f3: $i > $i > $i ).
thf(c5_type,type,
c5: $i ).
thf(5,negated_conjecture,
! [B: $i,A: $i] :
( ( p2 @ A @ B )
| ( p4 @ A @ B )
| ( p4 @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_5) ).
thf(10,plain,
! [B: $i,A: $i] :
( ( p2 @ A @ B )
| ( p4 @ A @ B )
| ( p4 @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(2,negated_conjecture,
! [A: $i] :
~ ( p4 @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p4_2) ).
thf(14,plain,
! [A: $i] :
~ ( p4 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(9,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p2 @ ( f3 @ A @ B ) @ ( f3 @ C @ D ) )
| ~ ( p2 @ A @ C )
| ~ ( p2 @ B @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_9) ).
thf(13,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p2 @ ( f3 @ A @ B ) @ ( f3 @ C @ D ) )
| ~ ( p2 @ A @ C )
| ~ ( p2 @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(8,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p4 @ A @ B )
| ~ ( p2 @ C @ B )
| ~ ( p4 @ D @ C )
| ~ ( p2 @ D @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_8) ).
thf(17,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p4 @ A @ B )
| ~ ( p2 @ C @ B )
| ~ ( p4 @ D @ C )
| ~ ( p2 @ D @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(6,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p2 @ A @ B )
| ~ ( p2 @ C @ B )
| ~ ( p2 @ C @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_6) ).
thf(12,plain,
! [C: $i,B: $i,A: $i] :
( ( p2 @ A @ B )
| ~ ( p2 @ C @ B )
| ~ ( p2 @ C @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(4,negated_conjecture,
p2 @ ( f3 @ c5 @ c6 ) @ ( f3 @ c5 @ c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_4) ).
thf(18,plain,
p2 @ ( f3 @ c5 @ c6 ) @ ( f3 @ c5 @ c7 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(3,negated_conjecture,
~ ( p2 @ c6 @ c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_3) ).
thf(16,plain,
~ ( p2 @ c6 @ c7 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(1,negated_conjecture,
! [A: $i] : ( p2 @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_1) ).
thf(11,plain,
! [A: $i] : ( p2 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(7,negated_conjecture,
! [B: $i,A: $i] :
( ( p4 @ ( f3 @ c5 @ A ) @ ( f3 @ c5 @ B ) )
| ~ ( p4 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_7) ).
thf(15,plain,
! [B: $i,A: $i] :
( ( p4 @ ( f3 @ c5 @ A ) @ ( f3 @ c5 @ B ) )
| ~ ( p4 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(28,plain,
$false,
inference(e,[status(thm)],[10,14,13,17,12,18,16,11,15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SYN554-1 : TPTP v8.1.2. Released v2.5.0.
% 0.10/0.13 % Command : run_Leo-III %s %d
% 0.14/0.34 % Computer : n014.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 : Thu May 18 19:33:13 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.85/0.83 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.23/0.94 % [INFO] Parsing done (103ms).
% 1.23/0.95 % [INFO] Running in sequential loop mode.
% 1.49/1.13 % [INFO] eprover registered as external prover.
% 1.49/1.13 % [INFO] cvc4 registered as external prover.
% 1.49/1.14 % [INFO] Scanning for conjecture ...
% 1.73/1.20 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
% 1.82/1.23 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.82/1.23 % [INFO] Problem is propositional (TPTP CNF).
% 1.82/1.23 % [INFO] Type checking passed.
% 1.82/1.23 % [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 ...
% 2.48/1.50 % External prover 'e' found a proof!
% 2.48/1.50 % [INFO] Killing All external provers ...
% 2.48/1.50 % Time passed: 994ms (effective reasoning time: 554ms)
% 2.48/1.50 % 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)>
% 2.48/1.51 % Axioms used in derivation (0):
% 2.48/1.51 % No. of inferences in proof: 19
% 2.48/1.51 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 994 ms resp. 554 ms w/o parsing
% 2.68/1.53 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.68/1.53 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------