TSTP Solution File: SYN556-1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SYN556-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n002.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 3.13s 1.65s
% Output : Refutation 3.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 24
% Syntax : Number of formulae : 37 ( 11 unt; 12 typ; 0 def)
% Number of atoms : 51 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 226 ( 28 ~; 26 |; 0 &; 172 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 13 ( 13 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 12 usr; 6 con; 0-3 aty)
% Number of variables : 52 ( 0 ^; 52 !; 0 ?; 52 :)
% Comments :
%------------------------------------------------------------------------------
thf(p2_type,type,
p2: $i > $i > $o ).
thf(p3_type,type,
p3: $i > $i > $o ).
thf(c10_type,type,
c10: $i ).
thf(c13_type,type,
c13: $i ).
thf(f7_type,type,
f7: $i > $i ).
thf(f6_type,type,
f6: $i > $i ).
thf(c9_type,type,
c9: $i ).
thf(f4_type,type,
f4: $i > $i > $i > $i ).
thf(f5_type,type,
f5: $i > $i > $i ).
thf(f8_type,type,
f8: $i > $i > $i ).
thf(c11_type,type,
c11: $i ).
thf(c12_type,type,
c12: $i ).
thf(4,negated_conjecture,
! [B: $i,A: $i] :
( ( p2 @ ( f7 @ A ) @ ( f7 @ B ) )
| ~ ( p2 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_4) ).
thf(24,plain,
! [B: $i,A: $i] :
( ( p2 @ ( f7 @ A ) @ ( f7 @ B ) )
| ~ ( p2 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(10,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p2 @ ( f5 @ A @ B ) @ ( f5 @ C @ D ) )
| ~ ( p2 @ A @ C )
| ~ ( p2 @ B @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_10) ).
thf(14,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p2 @ ( f5 @ A @ B ) @ ( f5 @ C @ D ) )
| ~ ( p2 @ A @ C )
| ~ ( p2 @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(7,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p3 @ A @ B )
| ~ ( p3 @ C @ A )
| ~ ( p3 @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_7) ).
thf(20,plain,
! [C: $i,B: $i,A: $i] :
( ( p3 @ A @ B )
| ~ ( p3 @ C @ A )
| ~ ( p3 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(3,negated_conjecture,
p2 @ c10 @ c13,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_3) ).
thf(21,plain,
p2 @ c10 @ c13,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(5,negated_conjecture,
! [B: $i,A: $i] :
( ( p2 @ ( f6 @ A ) @ ( f6 @ B ) )
| ~ ( p2 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_5) ).
thf(13,plain,
! [B: $i,A: $i] :
( ( p2 @ ( f6 @ A ) @ ( f6 @ B ) )
| ~ ( p2 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(9,negated_conjecture,
~ ( p3 @ c9 @ ( f4 @ c10 @ ( f5 @ ( f8 @ c11 @ c10 ) @ ( f6 @ ( f7 @ c12 ) ) ) @ c11 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p3_9) ).
thf(17,plain,
~ ( p3 @ c9 @ ( f4 @ c10 @ ( f5 @ ( f8 @ c11 @ c10 ) @ ( f6 @ ( f7 @ c12 ) ) ) @ c11 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(11,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p2 @ ( f8 @ A @ B ) @ ( f8 @ C @ D ) )
| ~ ( p2 @ B @ D )
| ~ ( p3 @ A @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_11) ).
thf(22,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p2 @ ( f8 @ A @ B ) @ ( f8 @ C @ D ) )
| ~ ( p2 @ B @ D )
| ~ ( p3 @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(2,negated_conjecture,
! [A: $i] : ( p3 @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_2) ).
thf(18,plain,
! [A: $i] : ( p3 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(6,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p2 @ A @ B )
| ~ ( p2 @ C @ A )
| ~ ( p2 @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_6) ).
thf(16,plain,
! [C: $i,B: $i,A: $i] :
( ( p2 @ A @ B )
| ~ ( p2 @ C @ A )
| ~ ( p2 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(8,negated_conjecture,
p3 @ c9 @ ( f4 @ c13 @ ( f5 @ ( f8 @ c11 @ c13 ) @ ( f6 @ ( f7 @ c12 ) ) ) @ c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_8) ).
thf(23,plain,
p3 @ c9 @ ( f4 @ c13 @ ( f5 @ ( f8 @ c11 @ c13 ) @ ( f6 @ ( f7 @ c12 ) ) ) @ c11 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(12,negated_conjecture,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( p3 @ ( f4 @ A @ B @ C ) @ ( f4 @ D @ E @ F ) )
| ~ ( p2 @ B @ E )
| ~ ( p3 @ C @ F )
| ~ ( p2 @ A @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_12) ).
thf(19,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( p3 @ ( f4 @ A @ B @ C ) @ ( f4 @ D @ E @ F ) )
| ~ ( p2 @ B @ E )
| ~ ( p3 @ C @ F )
| ~ ( p2 @ A @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(1,negated_conjecture,
! [A: $i] : ( p2 @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_1) ).
thf(15,plain,
! [A: $i] : ( p2 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(39,plain,
$false,
inference(e,[status(thm)],[24,14,20,21,13,17,22,18,16,23,19,15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SYN556-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n002.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 20:07:35 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.86/0.83 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.23/0.95 % [INFO] Parsing done (113ms).
% 1.23/0.95 % [INFO] Running in sequential loop mode.
% 1.50/1.14 % [INFO] eprover registered as external prover.
% 1.50/1.14 % [INFO] cvc4 registered as external prover.
% 1.50/1.15 % [INFO] Scanning for conjecture ...
% 1.72/1.21 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
% 1.85/1.25 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.85/1.25 % [INFO] Problem is propositional (TPTP CNF).
% 1.85/1.25 % [INFO] Type checking passed.
% 1.85/1.25 % [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 ...
% 3.13/1.64 % External prover 'e' found a proof!
% 3.13/1.64 % [INFO] Killing All external provers ...
% 3.13/1.65 % Time passed: 1130ms (effective reasoning time: 687ms)
% 3.13/1.65 % 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)>
% 3.13/1.65 % Axioms used in derivation (0):
% 3.13/1.65 % No. of inferences in proof: 25
% 3.13/1.65 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1130 ms resp. 687 ms w/o parsing
% 3.13/1.67 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.13/1.67 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------