TSTP Solution File: SYN310-1 by Leo-III---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : SYN310-1 : TPTP v8.2.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n028.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 21 08:11:28 EDT 2024
% Result : Unsatisfiable 2.86s 1.64s
% Output : Refutation 2.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 12
% Syntax : Number of formulae : 19 ( 5 unt; 6 typ; 0 def)
% Number of atoms : 21 ( 0 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 94 ( 10 ~; 8 |; 0 &; 76 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 6 usr; 4 con; 0-3 aty)
% Number of variables : 24 ( 0 ^ 24 !; 0 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
thf(p_type,type,
p: $i > $i > $i > $o ).
thf(g_type,type,
g: $i > $i ).
thf(f_type,type,
f: $i > $i ).
thf(a_type,type,
a: $i ).
thf(b_type,type,
b: $i ).
thf(c_type,type,
c: $i ).
thf(2,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( p @ A @ B @ C )
| ( p @ B @ A @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).
thf(10,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( p @ A @ B @ C )
| ( p @ B @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(6,negated_conjecture,
p @ ( f @ ( g @ a ) ) @ ( f @ ( g @ b ) ) @ ( f @ ( g @ c ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).
thf(9,plain,
p @ ( f @ ( g @ a ) ) @ ( f @ ( g @ b ) ) @ ( f @ ( g @ c ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(4,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( p @ ( f @ A ) @ B @ C )
| ( p @ A @ B @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).
thf(12,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( p @ ( f @ A ) @ B @ C )
| ( p @ A @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(5,negated_conjecture,
~ ( p @ a @ b @ c ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).
thf(7,plain,
~ ( p @ a @ b @ c ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(3,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( p @ A @ B @ ( g @ C ) )
| ( p @ A @ B @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).
thf(11,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( p @ A @ B @ ( g @ C ) )
| ( p @ A @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(1,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( p @ A @ B @ C )
| ( p @ C @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
thf(8,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( p @ A @ B @ C )
| ( p @ C @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(20,plain,
$false,
inference(e,[status(thm)],[10,9,12,7,11,8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SYN310-1 : TPTP v8.2.0. Released v1.2.0.
% 0.14/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n028.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 20 15:17:09 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.95/0.86 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.22/0.94 % [INFO] Parsing done (86ms).
% 1.22/0.95 % [INFO] Running in sequential loop mode.
% 1.46/1.14 % [INFO] eprover registered as external prover.
% 1.46/1.15 % [INFO] cvc4 registered as external prover.
% 1.46/1.15 % [INFO] Scanning for conjecture ...
% 1.78/1.20 % [INFO] Found a conjecture (or negated_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.
% 1.78/1.24 % [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 ...
% 2.86/1.64 % External prover 'e' found a proof!
% 2.86/1.64 % [INFO] Killing All external provers ...
% 2.86/1.64 % Time passed: 1118ms (effective reasoning time: 686ms)
% 2.86/1.64 % Axioms used in derivation (0):
% 2.86/1.64 % No. of inferences in proof: 13
% 2.86/1.64 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 1118 ms resp. 686 ms w/o parsing
% 2.86/1.67 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.86/1.67 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------