%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : LCL668+1.001 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n020.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 11:31:06 EDT 2023
% Result : Theorem 4.10s 1.94s
% Output : Refutation 4.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 13
% Syntax : Number of formulae : 17 ( 3 unt; 11 typ; 0 def)
% Number of atoms : 255 ( 0 equ; 0 cnn)
% Maximal formula atoms : 84 ( 42 avg)
% Number of connectives : 901 ( 255 ~; 189 |; 60 &; 397 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 48 ( 25 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 11 usr; 1 con; 0-2 aty)
% Number of variables : 146 ( 0 ^; 143 !; 3 ?; 146 :)
% Comments :
%------------------------------------------------------------------------------
thf(r1_type,type,
r1: $i > $i > $o ).
thf(p12_type,type,
p12: $i > $o ).
thf(p10_type,type,
p10: $i > $o ).
thf(p8_type,type,
p8: $i > $o ).
thf(p6_type,type,
p6: $i > $o ).
thf(p4_type,type,
p4: $i > $o ).
thf(p2_type,type,
p2: $i > $o ).
thf(p7_type,type,
p7: $i > $o ).
thf(p5_type,type,
p5: $i > $o ).
thf(p1_type,type,
p1: $i > $o ).
thf(p3_type,type,
p3: $i > $o ).
thf(1,conjecture,
~ ? [A: $i] :
~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ! [E: $i] :
( ~ ( r1 @ D @ E )
| ! [F: $i] :
( ~ ( r1 @ E @ F )
| ! [G: $i] :
( ~ ( r1 @ F @ G )
| ( ~ ( p12 @ G )
& ~ ( p10 @ G )
& ~ ( p8 @ G )
& ~ ( p6 @ G )
& ~ ( p4 @ G )
& ~ ( p2 @ G ) ) ) ) ) ) ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p7 @ B ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ! [E: $i] :
( ~ ( r1 @ D @ E )
| ! [F: $i] :
( ~ ( r1 @ E @ F )
| ! [G: $i] :
( ~ ( r1 @ F @ G )
| ! [H: $i] :
( ~ ( r1 @ G @ H )
| ! [I: $i] :
( ~ ( r1 @ H @ I )
| ~ ( ( ~ ( p5 @ I )
& ~ ( p1 @ I ) )
| ( ( p1 @ I )
& ( p5 @ I ) ) ) ) ) ) ) ) ) )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p6 @ C ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ! [E: $i] :
( ~ ( r1 @ D @ E )
| ! [F: $i] :
( ~ ( r1 @ E @ F )
| ! [G: $i] :
( ~ ( r1 @ F @ G )
| ! [H: $i] :
( ~ ( r1 @ G @ H )
| ! [I: $i] :
( ~ ( r1 @ H @ I )
| ~ ( ( ~ ( p4 @ I )
& ~ ( p5 @ I ) )
| ( ( p5 @ I )
& ( p4 @ I ) ) ) ) ) ) ) ) )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p5 @ D ) )
| ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ~ ! [E: $i] :
( ~ ( r1 @ D @ E )
| ! [F: $i] :
( ~ ( r1 @ E @ F )
| ! [G: $i] :
( ~ ( r1 @ F @ G )
| ! [H: $i] :
( ~ ( r1 @ G @ H )
| ! [I: $i] :
( ~ ( r1 @ H @ I )
| ~ ( ( ~ ( p3 @ I )
& ~ ( p4 @ I ) )
| ( ( p4 @ I )
& ( p3 @ I ) ) ) ) ) ) ) )
| ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p4 @ E ) )
| ~ ! [E: $i] :
( ~ ( r1 @ D @ E )
| ~ ( ~ ! [F: $i] :
( ~ ( r1 @ E @ F )
| ! [G: $i] :
( ~ ( r1 @ F @ G )
| ! [H: $i] :
( ~ ( r1 @ G @ H )
| ! [I: $i] :
( ~ ( r1 @ H @ I )
| ~ ( ( ~ ( p2 @ I )
& ~ ( p3 @ I ) )
| ( ( p3 @ I )
& ( p2 @ I ) ) ) ) ) ) )
| ! [F: $i] :
( ~ ( r1 @ E @ F )
| ( p3 @ F ) )
| ~ ! [F: $i] :
( ~ ( r1 @ E @ F )
| ~ ~ ! [G: $i] :
( ~ ( r1 @ F @ G )
| ! [H: $i] :
( ~ ( r1 @ G @ H )
| ! [I: $i] :
( ~ ( r1 @ H @ I )
| ~ ( ( ~ ( p1 @ I )
& ~ ( p2 @ I ) )
| ( ( p2 @ I )
& ( p1 @ I ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ! [E: $i] :
( ~ ( r1 @ D @ E )
| ! [F: $i] :
( ~ ( r1 @ E @ F )
| ! [G: $i] :
( ~ ( r1 @ F @ G )
| ( ( p6 @ G )
& ( p5 @ G )
& ( p4 @ G )
& ( p3 @ G )
& ( p2 @ G )
& ( p1 @ G ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
thf(2,negated_conjecture,
~ ~ ? [A: $i] :
~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ! [E: $i] :
( ~ ( r1 @ D @ E )
| ! [F: $i] :
( ~ ( r1 @ E @ F )
| ! [G: $i] :
( ~ ( r1 @ F @ G )
| ( ~ ( p12 @ G )
& ~ ( p10 @ G )
& ~ ( p8 @ G )
& ~ ( p6 @ G )
& ~ ( p4 @ G )
& ~ ( p2 @ G ) ) ) ) ) ) ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p7 @ B ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ! [E: $i] :
( ~ ( r1 @ D @ E )
| ! [F: $i] :
( ~ ( r1 @ E @ F )
| ! [G: $i] :
( ~ ( r1 @ F @ G )
| ! [H: $i] :
( ~ ( r1 @ G @ H )
| ! [I: $i] :
( ~ ( r1 @ H @ I )
| ~ ( ( ~ ( p5 @ I )
& ~ ( p1 @ I ) )
| ( ( p1 @ I )
& ( p5 @ I ) ) ) ) ) ) ) ) ) )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p6 @ C ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ! [E: $i] :
( ~ ( r1 @ D @ E )
| ! [F: $i] :
( ~ ( r1 @ E @ F )
| ! [G: $i] :
( ~ ( r1 @ F @ G )
| ! [H: $i] :
( ~ ( r1 @ G @ H )
| ! [I: $i] :
( ~ ( r1 @ H @ I )
| ~ ( ( ~ ( p4 @ I )
& ~ ( p5 @ I ) )
| ( ( p5 @ I )
& ( p4 @ I ) ) ) ) ) ) ) ) )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p5 @ D ) )
| ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ~ ! [E: $i] :
( ~ ( r1 @ D @ E )
| ! [F: $i] :
( ~ ( r1 @ E @ F )
| ! [G: $i] :
( ~ ( r1 @ F @ G )
| ! [H: $i] :
( ~ ( r1 @ G @ H )
| ! [I: $i] :
( ~ ( r1 @ H @ I )
| ~ ( ( ~ ( p3 @ I )
& ~ ( p4 @ I ) )
| ( ( p4 @ I )
& ( p3 @ I ) ) ) ) ) ) ) )
| ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p4 @ E ) )
| ~ ! [E: $i] :
( ~ ( r1 @ D @ E )
| ~ ( ~ ! [F: $i] :
( ~ ( r1 @ E @ F )
| ! [G: $i] :
( ~ ( r1 @ F @ G )
| ! [H: $i] :
( ~ ( r1 @ G @ H )
| ! [I: $i] :
( ~ ( r1 @ H @ I )
| ~ ( ( ~ ( p2 @ I )
& ~ ( p3 @ I ) )
| ( ( p3 @ I )
& ( p2 @ I ) ) ) ) ) ) )
| ! [F: $i] :
( ~ ( r1 @ E @ F )
| ( p3 @ F ) )
| ~ ! [F: $i] :
( ~ ( r1 @ E @ F )
| ~ ~ ! [G: $i] :
( ~ ( r1 @ F @ G )
| ! [H: $i] :
( ~ ( r1 @ G @ H )
| ! [I: $i] :
( ~ ( r1 @ H @ I )
| ~ ( ( ~ ( p1 @ I )
& ~ ( p2 @ I ) )
| ( ( p2 @ I )
& ( p1 @ I ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ! [E: $i] :
( ~ ( r1 @ D @ E )
| ! [F: $i] :
( ~ ( r1 @ E @ F )
| ! [G: $i] :
( ~ ( r1 @ F @ G )
| ( ( p6 @ G )
& ( p5 @ G )
& ( p4 @ G )
& ( p3 @ G )
& ( p2 @ G )
& ( p1 @ G ) ) ) ) ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(4,plain,
~ ~ ? [A: $i] :
~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ! [E: $i] :
( ~ ( r1 @ D @ E )
| ! [F: $i] :
( ~ ( r1 @ E @ F )
| ! [G: $i] :
( ~ ( r1 @ F @ G )
| ( ~ ( p12 @ G )
& ~ ( p10 @ G )
& ~ ( p8 @ G )
& ~ ( p6 @ G )
& ~ ( p4 @ G )
& ~ ( p2 @ G ) ) ) ) ) ) ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p7 @ B ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ! [E: $i] :
( ~ ( r1 @ D @ E )
| ! [F: $i] :
( ~ ( r1 @ E @ F )
| ! [G: $i] :
( ~ ( r1 @ F @ G )
| ! [H: $i] :
( ~ ( r1 @ G @ H )
| ! [I: $i] :
( ~ ( r1 @ H @ I )
| ~ ( ( ~ ( p5 @ I )
& ~ ( p1 @ I ) )
| ( ( p1 @ I )
& ( p5 @ I ) ) ) ) ) ) ) ) ) )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p6 @ C ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ! [E: $i] :
( ~ ( r1 @ D @ E )
| ! [F: $i] :
( ~ ( r1 @ E @ F )
| ! [G: $i] :
( ~ ( r1 @ F @ G )
| ! [H: $i] :
( ~ ( r1 @ G @ H )
| ! [I: $i] :
( ~ ( r1 @ H @ I )
| ~ ( ( ~ ( p4 @ I )
& ~ ( p5 @ I ) )
| ( ( p5 @ I )
& ( p4 @ I ) ) ) ) ) ) ) ) )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p5 @ D ) )
| ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ~ ! [E: $i] :
( ~ ( r1 @ D @ E )
| ! [F: $i] :
( ~ ( r1 @ E @ F )
| ! [G: $i] :
( ~ ( r1 @ F @ G )
| ! [H: $i] :
( ~ ( r1 @ G @ H )
| ! [I: $i] :
( ~ ( r1 @ H @ I )
| ~ ( ( ~ ( p3 @ I )
& ~ ( p4 @ I ) )
| ( ( p4 @ I )
& ( p3 @ I ) ) ) ) ) ) ) )
| ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p4 @ E ) )
| ~ ! [E: $i] :
( ~ ( r1 @ D @ E )
| ~ ( ~ ! [F: $i] :
( ~ ( r1 @ E @ F )
| ! [G: $i] :
( ~ ( r1 @ F @ G )
| ! [H: $i] :
( ~ ( r1 @ G @ H )
| ! [I: $i] :
( ~ ( r1 @ H @ I )
| ~ ( ( ~ ( p2 @ I )
& ~ ( p3 @ I ) )
| ( ( p3 @ I )
& ( p2 @ I ) ) ) ) ) ) )
| ! [F: $i] :
( ~ ( r1 @ E @ F )
| ( p3 @ F ) )
| ~ ! [F: $i] :
( ~ ( r1 @ E @ F )
| ! [G: $i] :
( ~ ( r1 @ F @ G )
| ! [H: $i] :
( ~ ( r1 @ G @ H )
| ! [I: $i] :
( ~ ( r1 @ H @ I )
| ~ ( ( ~ ( p1 @ I )
& ~ ( p2 @ I ) )
| ( ( p2 @ I )
& ( p1 @ I ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ! [E: $i] :
( ~ ( r1 @ D @ E )
| ! [F: $i] :
( ~ ( r1 @ E @ F )
| ! [G: $i] :
( ~ ( r1 @ F @ G )
| ( ( p6 @ G )
& ( p5 @ G )
& ( p4 @ G )
& ( p3 @ G )
& ( p2 @ G )
& ( p1 @ G ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
! [A: $i] : ( r1 @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).
thf(55,plain,
! [A: $i] : ( r1 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(57,plain,
$false,
inference(cvc4,[status(thm)],[4,55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : LCL668+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n020.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 : Thu May 18 15:56:03 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.92/0.83 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.22/0.96 % [INFO] Parsing done (129ms).
% 1.37/0.97 % [INFO] Running in sequential loop mode.
% 1.68/1.18 % [INFO] eprover registered as external prover.
% 1.78/1.18 % [INFO] cvc4 registered as external prover.
% 1.78/1.19 % [INFO] Scanning for conjecture ...
% 2.00/1.29 % [INFO] Found a conjecture and 1 axioms. Running axiom selection ...
% 2.19/1.34 % [INFO] Axiom selection finished. Selected 1 axioms (removed 0 axioms).
% 2.19/1.34 % [INFO] Problem is first-order (TPTP FOF).
% 2.19/1.35 % [INFO] Type checking passed.
% 2.19/1.35 % [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 ...
% 4.10/1.93 % External prover 'cvc4' found a proof!
% 4.10/1.93 % [INFO] Killing All external provers ...
% 4.10/1.93 % Time passed: 1423ms (effective reasoning time: 959ms)
% 4.10/1.93 % 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)>
% 4.10/1.93 % Axioms used in derivation (1): reflexivity
% 4.10/1.93 % No. of inferences in proof: 6
% 4.10/1.94 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1423 ms resp. 959 ms w/o parsing
% 4.24/2.00 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.24/2.00 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------