TSTP Solution File: SYN312-1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SYN312-1 : TPTP v8.1.2. Bugfixed v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n023.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 12:28:19 EDT 2023
% Result : Unsatisfiable 2.59s 1.53s
% Output : Refutation 2.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 15
% Syntax : Number of formulae : 24 ( 7 unt; 7 typ; 0 def)
% Number of atoms : 29 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 130 ( 14 ~; 12 |; 0 &; 104 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 7 usr; 5 con; 0-3 aty)
% Number of variables : 32 ( 0 ^; 32 !; 0 ?; 32 :)
% Comments :
%------------------------------------------------------------------------------
thf(p_type,type,
p: $i > $i > $i > $o ).
thf(f_type,type,
f: $i > $i ).
thf(g_type,type,
g: $i > $i ).
thf(a_type,type,
a: $i ).
thf(b_type,type,
b: $i ).
thf(c_type,type,
c: $i ).
thf(d_type,type,
d: $i ).
thf(1,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p @ A @ B @ C )
| ~ ( p @ A @ D @ C )
| ~ ( p @ D @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
thf(10,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p @ A @ B @ C )
| ~ ( p @ A @ D @ C )
| ~ ( p @ D @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(3,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p @ A @ B @ C )
| ~ ( p @ B @ A @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).
thf(14,plain,
! [C: $i,B: $i,A: $i] :
( ( p @ A @ B @ C )
| ~ ( p @ B @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(5,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p @ ( g @ A ) @ B @ C )
| ~ ( p @ A @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).
thf(9,plain,
! [C: $i,B: $i,A: $i] :
( ( p @ ( g @ A ) @ B @ C )
| ~ ( p @ A @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(7,negated_conjecture,
p @ ( f @ b ) @ d @ c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause7) ).
thf(13,plain,
p @ ( f @ b ) @ d @ c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(2,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p @ A @ B @ C )
| ~ ( p @ C @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).
thf(12,plain,
! [C: $i,B: $i,A: $i] :
( ( p @ A @ B @ C )
| ~ ( p @ C @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p @ A @ B @ ( f @ C ) )
| ~ ( p @ A @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).
thf(16,plain,
! [C: $i,B: $i,A: $i] :
( ( p @ A @ B @ ( f @ C ) )
| ~ ( p @ A @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(6,negated_conjecture,
p @ a @ ( f @ b ) @ c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).
thf(11,plain,
p @ a @ ( f @ b ) @ c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(8,negated_conjecture,
~ ( p @ ( f @ ( g @ a ) ) @ ( f @ ( g @ d ) ) @ ( f @ ( g @ c ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
thf(15,plain,
~ ( p @ ( f @ ( g @ a ) ) @ ( f @ ( g @ d ) ) @ ( f @ ( g @ c ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(23,plain,
$false,
inference(e,[status(thm)],[10,14,9,13,12,16,11,15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN312-1 : TPTP v8.1.2. Bugfixed v2.0.0.
% 0.11/0.15 % Command : run_Leo-III %s %d
% 0.14/0.35 % Computer : n023.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 19:42:30 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.86/0.83 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.21/0.94 % [INFO] Parsing done (110ms).
% 1.21/0.95 % [INFO] Running in sequential loop mode.
% 1.48/1.14 % [INFO] eprover registered as external prover.
% 1.48/1.14 % [INFO] cvc4 registered as external prover.
% 1.48/1.14 % [INFO] Scanning for conjecture ...
% 1.72/1.20 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
% 1.78/1.23 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.78/1.23 % [INFO] Problem is propositional (TPTP CNF).
% 1.78/1.23 % [INFO] Type checking passed.
% 1.88/1.24 % [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 ...
% 2.59/1.52 % External prover 'e' found a proof!
% 2.59/1.52 % [INFO] Killing All external provers ...
% 2.59/1.52 % Time passed: 1013ms (effective reasoning time: 573ms)
% 2.59/1.52 % 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)>
% 2.59/1.53 % Axioms used in derivation (0):
% 2.59/1.53 % No. of inferences in proof: 17
% 2.59/1.53 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1013 ms resp. 573 ms w/o parsing
% 2.68/1.56 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.68/1.56 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------