TSTP Solution File: SYN079-1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SYN079-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n012.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 12:27:14 EDT 2023
% Result : Unsatisfiable 2.36s 1.48s
% Output : Refutation 2.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 9
% Syntax : Number of formulae : 14 ( 7 unt; 5 typ; 0 def)
% Number of atoms : 13 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 58 ( 6 ~; 4 |; 0 &; 48 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 6 ( 0 ^; 6 !; 0 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
thf(big_f_type,type,
big_f: $i > $i > $o ).
thf(f_type,type,
f: $i > $i > $i ).
thf(a_type,type,
a: $i ).
thf(b_type,type,
b: $i ).
thf(c_type,type,
c: $i ).
thf(1,negated_conjecture,
~ ( big_f @ ( f @ a @ b ) @ ( f @ a @ c ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
thf(5,plain,
~ ( big_f @ ( f @ a @ b ) @ ( f @ a @ c ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(2,axiom,
big_f @ ( f @ a @ b ) @ ( f @ b @ c ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
thf(7,plain,
big_f @ ( f @ a @ b ) @ ( f @ b @ c ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
big_f @ ( f @ b @ c ) @ ( f @ a @ c ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
thf(8,plain,
big_f @ ( f @ b @ c ) @ ( f @ a @ c ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(4,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( big_f @ A @ B )
| ~ ( big_f @ B @ C )
| ( big_f @ A @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
thf(9,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( big_f @ A @ B )
| ~ ( big_f @ B @ C )
| ( big_f @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(14,plain,
$false,
inference(e,[status(thm)],[5,7,8,9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYN079-1 : TPTP v8.1.2. Released v1.0.0.
% 0.15/0.14 % Command : run_Leo-III %s %d
% 0.15/0.35 % Computer : n012.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu May 18 19:45:02 EDT 2023
% 0.21/0.35 % CPUTime :
% 0.85/0.83 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.23/0.93 % [INFO] Parsing done (99ms).
% 1.23/0.94 % [INFO] Running in sequential loop mode.
% 1.49/1.13 % [INFO] eprover registered as external prover.
% 1.49/1.14 % [INFO] cvc4 registered as external prover.
% 1.49/1.14 % [INFO] Scanning for conjecture ...
% 1.74/1.19 % [INFO] Found a conjecture and 3 axioms. Running axiom selection ...
% 1.74/1.21 % [INFO] Axiom selection finished. Selected 3 axioms (removed 0 axioms).
% 1.74/1.21 % [INFO] Problem is propositional (TPTP CNF).
% 1.74/1.21 % [INFO] Type checking passed.
% 1.74/1.22 % [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 ...
% 2.36/1.47 % External prover 'e' found a proof!
% 2.36/1.48 % [INFO] Killing All external provers ...
% 2.36/1.48 % Time passed: 968ms (effective reasoning time: 537ms)
% 2.36/1.48 % 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)>
% 2.36/1.48 % Axioms used in derivation (3): clause_1, clause_2, clause_3
% 2.36/1.48 % No. of inferences in proof: 9
% 2.36/1.48 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 968 ms resp. 537 ms w/o parsing
% 2.55/1.50 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.55/1.50 % [INFO] Killing All external provers ...
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