TSTP Solution File: SYN058-1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SYN058-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n018.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 12:27:07 EDT 2023
% Result : Unsatisfiable 2.40s 1.61s
% Output : Refutation 2.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 18
% Syntax : Number of formulae : 28 ( 7 unt; 9 typ; 0 def)
% Number of atoms : 33 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 62 ( 16 ~; 14 |; 0 &; 32 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 9 usr; 4 con; 0-1 aty)
% Number of variables : 8 ( 0 ^; 8 !; 0 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
thf(big_p_type,type,
big_p: $i > $o ).
thf(d_type,type,
d: $i ).
thf(big_f_type,type,
big_f: $i > $o ).
thf(big_g_type,type,
big_g: $i > $o ).
thf(big_q_type,type,
big_q: $i > $o ).
thf(b_type,type,
b: $i ).
thf(c_type,type,
c: $i ).
thf(big_s_type,type,
big_s: $i > $o ).
thf(big_r_type,type,
big_r: $i > $o ).
thf(1,negated_conjecture,
big_p @ d,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).
thf(10,plain,
big_p @ d,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(9,axiom,
! [B: $i,A: $i] :
( ~ ( big_s @ A )
| ~ ( big_f @ B )
| ( big_g @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
thf(24,plain,
! [B: $i,A: $i] :
( ~ ( big_s @ A )
| ~ ( big_f @ B )
| ( big_g @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(4,axiom,
! [B: $i,A: $i] :
( ~ ( big_p @ A )
| ( big_q @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
thf(14,plain,
! [B: $i,A: $i] :
( ~ ( big_p @ A )
| ( big_q @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(7,axiom,
( ~ ( big_r @ b )
| ( big_q @ c ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
thf(20,plain,
( ~ ( big_r @ b )
| ( big_q @ c ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(8,axiom,
( ~ ( big_r @ b )
| ( big_s @ c ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
thf(22,plain,
( ~ ( big_r @ b )
| ( big_s @ c ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(3,negated_conjecture,
~ ( big_g @ d ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_9) ).
thf(12,plain,
~ ( big_g @ d ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(6,axiom,
( ~ ( big_q @ b )
| ( big_s @ c ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
thf(18,plain,
( ~ ( big_q @ b )
| ( big_s @ c ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(5,axiom,
( ~ ( big_q @ b )
| ( big_q @ c ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
thf(16,plain,
( ~ ( big_q @ b )
| ( big_q @ c ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(2,negated_conjecture,
big_f @ d,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8) ).
thf(11,plain,
big_f @ d,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(26,plain,
$false,
inference(e,[status(thm)],[10,24,14,20,22,12,18,16,11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN058-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.16 % Command : run_Leo-III %s %d
% 0.16/0.38 % Computer : n018.cluster.edu
% 0.16/0.38 % Model : x86_64 x86_64
% 0.16/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38 % Memory : 8042.1875MB
% 0.16/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38 % CPULimit : 300
% 0.16/0.38 % WCLimit : 300
% 0.16/0.38 % DateTime : Thu May 18 19:32:59 EDT 2023
% 0.16/0.38 % CPUTime :
% 0.98/0.91 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.24/1.02 % [INFO] Parsing done (111ms).
% 1.24/1.03 % [INFO] Running in sequential loop mode.
% 1.67/1.24 % [INFO] eprover registered as external prover.
% 1.67/1.25 % [INFO] cvc4 registered as external prover.
% 1.67/1.25 % [INFO] Scanning for conjecture ...
% 1.67/1.30 % [INFO] Found a conjecture and 6 axioms. Running axiom selection ...
% 1.67/1.32 % [INFO] Axiom selection finished. Selected 6 axioms (removed 0 axioms).
% 1.67/1.33 % [INFO] Problem is propositional (TPTP CNF).
% 1.89/1.33 % [INFO] Type checking passed.
% 1.89/1.33 % [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 ...
% 2.40/1.60 % External prover 'e' found a proof!
% 2.40/1.60 % [INFO] Killing All external provers ...
% 2.40/1.60 % Time passed: 1070ms (effective reasoning time: 573ms)
% 2.40/1.61 % 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)>
% 2.40/1.61 % Axioms used in derivation (6): clause_5, clause_2, clause_1, clause_4, clause_6, clause_3
% 2.40/1.61 % No. of inferences in proof: 19
% 2.40/1.61 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1070 ms resp. 573 ms w/o parsing
% 2.64/1.63 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.64/1.63 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------