TSTP Solution File: SYN066-1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SYN066-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n025.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 12:27:10 EDT 2023
% Result : Unsatisfiable 2.53s 1.47s
% Output : Refutation 2.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 14
% Syntax : Number of formulae : 21 ( 5 unt; 8 typ; 0 def)
% Number of atoms : 21 ( 0 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 82 ( 8 ~; 8 |; 0 &; 66 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 13 ( 13 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 24 ( 0 ^; 24 !; 0 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
thf(big_r_type,type,
big_r: $i > $i > $o ).
thf(a_type,type,
a: $i ).
thf(big_p_type,type,
big_p: $i > $i > $o ).
thf(f_type,type,
f: $i > $i > $i ).
thf(g_type,type,
g: $i > $i ).
thf(big_q_type,type,
big_q: $i > $i > $o ).
thf(h_type,type,
h: $i > $i > $i ).
thf(i_type,type,
i: $i > $i > $i ).
thf(5,axiom,
! [B: $i,A: $i] :
( ( big_p @ A @ B )
| ( big_q @ ( i @ A @ B ) @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
thf(14,plain,
! [B: $i,A: $i] :
( ( big_p @ A @ B )
| ( big_q @ ( i @ A @ B ) @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(2,axiom,
! [B: $i,A: $i] :
( ~ ( big_p @ A @ B )
| ( big_p @ ( f @ B @ A ) @ ( g @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
thf(9,plain,
! [B: $i,A: $i] :
( ~ ( big_p @ A @ B )
| ( big_p @ ( f @ B @ A ) @ ( g @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,axiom,
! [B: $i,A: $i] :
( ~ ( big_p @ ( f @ A @ B ) @ ( g @ A ) )
| ( big_q @ ( h @ A @ B ) @ ( g @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
thf(12,plain,
! [B: $i,A: $i] :
( ~ ( big_p @ ( f @ A @ B ) @ ( g @ A ) )
| ( big_q @ ( h @ A @ B ) @ ( g @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(1,negated_conjecture,
! [A: $i] :
~ ( big_r @ a @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
thf(7,plain,
! [A: $i] :
~ ( big_r @ a @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(6,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( big_q @ A @ B )
| ( big_r @ C @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
thf(16,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( big_q @ A @ B )
| ( big_r @ C @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(3,axiom,
! [B: $i,A: $i] : ( big_p @ ( f @ A @ B ) @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
thf(11,plain,
! [B: $i,A: $i] : ( big_p @ ( f @ A @ B ) @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(18,plain,
$false,
inference(cvc4,[status(thm)],[14,9,12,7,16,11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SYN066-1 : TPTP v8.1.2. Released v1.0.0.
% 0.10/0.15 % Command : run_Leo-III %s %d
% 0.14/0.36 % Computer : n025.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu May 18 19:52:49 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.88/0.85 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.18/0.95 % [INFO] Parsing done (99ms).
% 1.18/0.96 % [INFO] Running in sequential loop mode.
% 1.49/1.14 % [INFO] eprover registered as external prover.
% 1.49/1.14 % [INFO] cvc4 registered as external prover.
% 1.49/1.15 % [INFO] Scanning for conjecture ...
% 1.76/1.19 % [INFO] Found a conjecture and 5 axioms. Running axiom selection ...
% 1.76/1.21 % [INFO] Axiom selection finished. Selected 5 axioms (removed 0 axioms).
% 1.76/1.22 % [INFO] Problem is propositional (TPTP CNF).
% 1.76/1.22 % [INFO] Type checking passed.
% 1.85/1.22 % [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 ...
% 2.20/1.46 % External prover 'cvc4' found a proof!
% 2.20/1.46 % [INFO] Killing All external provers ...
% 2.53/1.47 % Time passed: 939ms (effective reasoning time: 506ms)
% 2.53/1.47 % 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)>
% 2.53/1.47 % Axioms used in derivation (5): clause_5, clause_2, clause_1, clause_4, clause_3
% 2.53/1.47 % No. of inferences in proof: 13
% 2.53/1.47 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 939 ms resp. 506 ms w/o parsing
% 2.57/1.51 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.57/1.51 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------